%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC190-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:08:36 PM UTC 2026
% Result : Unsatisfiable 59.49s 15.41s
% Output : CNFRefutation 108.26s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause1) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause2) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause3) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause4) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause5) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause6) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause7) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause9) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause10) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause11) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause14) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause15) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause16) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause17) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause18) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause19) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause20) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause21) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause22) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause23) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause24) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause25) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause26) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause27) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause28) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause29) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause30) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause31) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause32) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause33) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause34) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause35) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause36) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause37) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause38) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause39) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause40) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause41) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause42) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause43) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause44) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause45) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause46) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause47) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause48) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause49) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause53) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause54) ).
fof(f55,axiom,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause55) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause56) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause57) ).
fof(f58,axiom,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause58) ).
fof(f59,axiom,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause59) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause60) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause61) ).
fof(f62,axiom,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause62) ).
fof(f64,axiom,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause64) ).
fof(f65,axiom,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause65) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause66) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause67) ).
fof(f68,axiom,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause68) ).
fof(f69,axiom,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause69) ).
fof(f70,axiom,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause70) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f72,axiom,
! [X0,X1] :
( ssItem(X1)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f77,axiom,
! [X0] :
( nil = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).
fof(f78,axiom,
! [X0] :
( nil = X0
| ssItem(hd(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause78) ).
fof(f79,axiom,
! [X0] :
( segmentP(nil,X0)
| ~ ssList(X0)
| nil != X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause79) ).
fof(f80,axiom,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause80) ).
fof(f81,axiom,
! [X0] :
( rearsegP(nil,X0)
| ~ ssList(X0)
| nil != X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause81) ).
fof(f82,axiom,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause82) ).
fof(f83,axiom,
! [X0] :
( frontsegP(nil,X0)
| ~ ssList(X0)
| nil != X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause83) ).
fof(f84,axiom,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause84) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f87,axiom,
! [X0] :
( leq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause87) ).
fof(f88,axiom,
! [X0] :
( leq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause88) ).
fof(f89,axiom,
! [X0] :
( equalelemsP(X0)
| ~ ssList(X0)
| skaf79(X0) != skaf78(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause89) ).
fof(f90,axiom,
! [X0] :
( strictorderedP(X0)
| ~ ssList(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause90) ).
fof(f91,axiom,
! [X0] :
( totalorderedP(X0)
| ~ ssList(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause91) ).
fof(f92,axiom,
! [X0] :
( strictorderP(X0)
| ~ ssList(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause92) ).
fof(f93,axiom,
! [X0] :
( strictorderP(X0)
| ~ ssList(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause93) ).
fof(f94,axiom,
! [X0] :
( totalorderP(X0)
| ~ ssList(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause94) ).
fof(f95,axiom,
! [X0] :
( totalorderP(X0)
| ~ ssList(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause95) ).
fof(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
fof(f97,axiom,
! [X0,X1] :
( hd(cons(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause97) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
fof(f99,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil != cons(X0,X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause99) ).
fof(f103,axiom,
! [X0] :
( cons(skaf44(X0),nil) = X0
| ~ ssList(X0)
| ~ singletonP(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause101) ).
fof(f106,axiom,
! [X0,X1] :
( leq(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause103) ).
fof(f107,axiom,
! [X0] :
( nil = X0
| cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
fof(f108,axiom,
! [X0,X1] :
( lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause105) ).
fof(f109,axiom,
! [X0,X1] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause106) ).
fof(f110,axiom,
! [X0,X1] :
( leq(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause107) ).
fof(f111,axiom,
! [X0,X1] :
( geq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause108) ).
fof(f112,axiom,
! [X0] :
( nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
fof(f113,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause110) ).
fof(f117,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause114) ).
fof(f119,axiom,
! [X0,X1] :
( singletonP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause116) ).
fof(f121,axiom,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1) ),
inference(reorient_equations,[],[f121]) ).
fof(f123,axiom,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1) ),
inference(reorient_equations,[],[f123]) ).
fof(f125,axiom,
! [X0,X1] :
( app(cons(X0,nil),X1) = cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
fof(f126,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f128,axiom,
! [X0,X1] :
( X0 = X1
| lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause122) ).
fof(f129,axiom,
! [X0,X1] :
( hd(app(X1,X0)) = hd(X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause123) ).
fof(f130,axiom,
! [X0,X1] :
( nil = X1
| strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause124) ).
fof(f131,axiom,
! [X0,X1] :
( nil = X1
| totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause125) ).
fof(f132,axiom,
! [X0,X1] :
( X1 = X0
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause126) ).
fof(f133,plain,
! [X0,X1] :
( X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1) ),
inference(reorient_equations,[],[f132]) ).
fof(f134,axiom,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause127) ).
fof(f135,plain,
! [X0,X1] :
( X0 = X1
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
inference(reorient_equations,[],[f134]) ).
fof(f136,axiom,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause128) ).
fof(f137,plain,
! [X0,X1] :
( X0 = X1
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1) ),
inference(reorient_equations,[],[f136]) ).
fof(f138,axiom,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause129) ).
fof(f139,plain,
! [X0,X1] :
( X0 = X1
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1) ),
inference(reorient_equations,[],[f138]) ).
fof(f140,axiom,
! [X0,X1] :
( X1 = X0
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause130) ).
fof(f141,plain,
! [X0,X1] :
( X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(reorient_equations,[],[f140]) ).
fof(f142,axiom,
! [X0,X1] :
( app(skaf46(X0,X1),X1) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).
fof(f143,axiom,
! [X0,X1] :
( app(X1,skaf45(X0,X1)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).
fof(f144,axiom,
! [X0,X1] :
( tl(app(X1,X0)) = app(tl(X1),X0)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause133) ).
fof(f145,axiom,
! [X0,X1] :
( nil = X1
| lt(X0,hd(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause134) ).
fof(f146,axiom,
! [X0,X1] :
( nil = X1
| leq(X0,hd(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause135) ).
fof(f147,axiom,
! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause136) ).
fof(f148,axiom,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause137) ).
fof(f150,axiom,
! [X2,X0,X1] :
( memberP(cons(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause139) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause141) ).
fof(f153,axiom,
! [X0] :
( app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0
| equalelemsP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause142) ).
fof(f154,axiom,
! [X2,X0,X1] :
( rearsegP(X2,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause143) ).
fof(f155,axiom,
! [X2,X0,X1] :
( frontsegP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).
fof(f158,axiom,
! [X2,X0,X1] :
( gt(X0,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause146) ).
fof(f159,axiom,
! [X2,X0,X1] :
( lt(X0,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause147) ).
fof(f160,axiom,
! [X2,X0,X1] :
( geq(X0,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause148) ).
fof(f161,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause149) ).
fof(f162,axiom,
! [X2,X0,X1] :
( X1 = X2
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != app(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause150) ).
fof(f163,axiom,
! [X2,X0,X1] :
( X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != app(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause151) ).
fof(f164,axiom,
! [X2,X0,X1] :
( segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause152) ).
fof(f165,axiom,
! [X2,X0,X1] :
( rearsegP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause153) ).
fof(f166,axiom,
! [X2,X0,X1] :
( frontsegP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause154) ).
fof(f167,axiom,
! [X2,X0,X1] :
( lt(X0,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause155) ).
fof(f168,axiom,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause156) ).
fof(f169,axiom,
! [X2,X0,X1] :
( cons(X0,app(X1,X2)) = app(cons(X0,X1),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause157) ).
fof(f170,axiom,
! [X2,X0,X1] :
( memberP(X0,X2)
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause158) ).
fof(f171,axiom,
! [X0,X1] :
( nil = X1
| totalorderedP(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(X1)
| ~ leq(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause159) ).
fof(f172,axiom,
! [X0,X1] :
( nil = X1
| strictorderedP(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(X1)
| ~ lt(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause160) ).
fof(f173,axiom,
! [X2,X0,X1] :
( X2 = X0
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause161) ).
fof(f174,plain,
! [X2,X0,X1] :
( X0 = X2
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
inference(reorient_equations,[],[f173]) ).
fof(f175,axiom,
! [X0] :
( app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0
| duplicatefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause162) ).
fof(f176,axiom,
! [X0] :
( app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0
| strictorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause163) ).
fof(f177,axiom,
! [X0] :
( app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0
| totalorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause164) ).
fof(f178,axiom,
! [X0] :
( app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause165) ).
fof(f179,axiom,
! [X0] :
( app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause166) ).
fof(f180,axiom,
! [X0] :
( app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause167) ).
fof(f181,axiom,
! [X0,X1] :
( app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause168) ).
fof(f182,axiom,
! [X0,X1] :
( app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause169) ).
fof(f183,axiom,
! [X2,X3,X0,X1] :
( X0 = X2
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause170) ).
fof(f184,axiom,
! [X2,X3,X0,X1] :
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause171) ).
fof(f185,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| cons(X0,X1) != cons(X2,X3) ),
inference(reorient_equations,[],[f184]) ).
fof(f186,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause172) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
fof(f188,axiom,
! [X2,X3,X0,X1] :
( frontsegP(X1,X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause174) ).
fof(f189,axiom,
! [X2,X3,X0,X1] :
( memberP(X3,X1)
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause175) ).
fof(f190,axiom,
! [X2,X3,X0,X1] :
( X0 = X2
| ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause176) ).
fof(f191,axiom,
! [X0,X1] :
( nil = X0
| X0 = X1
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0)
| hd(X0) != hd(X1)
| tl(X0) != tl(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause177) ).
fof(f193,axiom,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X4)
| ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause179) ).
fof(f194,axiom,
! [X2,X3,X0,X1,X4] :
( X1 = X2
| ~ ssList(X4)
| ~ equalelemsP(X4)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X3)
| app(X0,cons(X1,cons(X2,X3))) != X4 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause180) ).
fof(f195,axiom,
! [X2,X3,X0,X1,X4,X5] :
( lt(X1,X3)
| ~ ssList(X5)
| ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause181) ).
fof(f196,axiom,
! [X2,X3,X0,X1,X4,X5] :
( leq(X1,X3)
| ~ ssList(X5)
| ~ totalorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause182) ).
fof(f197,axiom,
! [X2,X3,X0,X1,X4,X5] :
( lt(X3,X1)
| lt(X1,X3)
| ~ ssList(X5)
| ~ strictorderP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause183) ).
fof(f198,axiom,
! [X2,X3,X0,X1,X4,X5] :
( leq(X3,X1)
| leq(X1,X3)
| ~ ssList(X5)
| ~ totalorderP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause184) ).
fof(f199,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ ssList(X5)
| ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause185) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
sk5 != sk6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,negated_conjecture,
ssItem(sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f214,negated_conjecture,
! [X0] :
( ~ memberP(sk3,X0)
| sk9 = X0
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f217,plain,
sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(definition_unfolding,[],[f211,f205]) ).
fof(f218,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f219,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f81]) ).
fof(f220,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f83]) ).
fof(f225,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f119]) ).
fof(f228,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(equality_resolution,[],[f154]) ).
fof(f229,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
fof(f232,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f233,plain,
! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f189]) ).
fof(f235,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f193]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( X1 = X2
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f194]) ).
fof(f237,plain,
! [X2,X3,X0,X1,X4] :
( lt(X1,X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4) ),
inference(equality_resolution,[],[f195]) ).
fof(f238,plain,
! [X2,X3,X0,X1,X4] :
( leq(X1,X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4) ),
inference(equality_resolution,[],[f196]) ).
fof(f239,plain,
! [X2,X3,X0,X1,X4] :
( lt(X3,X1)
| lt(X1,X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4) ),
inference(equality_resolution,[],[f197]) ).
fof(f240,plain,
! [X2,X3,X0,X1,X4] :
( leq(X3,X1)
| leq(X1,X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4) ),
inference(equality_resolution,[],[f198]) ).
fof(f241,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(equality_resolution,[],[f199]) ).
tcf(c_248,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f1]) ).
tcf(c_249,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f2]) ).
tcf(c_250,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f3]) ).
tcf(c_251,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f4]) ).
tcf(c_252,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f5]) ).
tcf(c_253,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f6]) ).
tcf(c_254,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f7]) ).
tcf(c_255,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_256,plain,
ssItem(skac3),
inference(cnf_transformation,[],[f9]) ).
tcf(c_257,plain,
ssItem(skac2),
inference(cnf_transformation,[],[f10]) ).
tcf(c_258,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f11]) ).
tcf(c_259,plain,
! [X0: $i] : ssItem(skaf83(X0)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_260,plain,
! [X0: $i] : ssList(skaf82(X0)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_261,plain,
! [X0: $i] : ssList(skaf81(X0)),
inference(cnf_transformation,[],[f14]) ).
tcf(c_262,plain,
! [X0: $i] : ssList(skaf80(X0)),
inference(cnf_transformation,[],[f15]) ).
tcf(c_263,plain,
! [X0: $i] : ssItem(skaf79(X0)),
inference(cnf_transformation,[],[f16]) ).
tcf(c_264,plain,
! [X0: $i] : ssItem(skaf78(X0)),
inference(cnf_transformation,[],[f17]) ).
tcf(c_265,plain,
! [X0: $i] : ssList(skaf77(X0)),
inference(cnf_transformation,[],[f18]) ).
tcf(c_266,plain,
! [X0: $i] : ssList(skaf76(X0)),
inference(cnf_transformation,[],[f19]) ).
tcf(c_267,plain,
! [X0: $i] : ssList(skaf75(X0)),
inference(cnf_transformation,[],[f20]) ).
tcf(c_268,plain,
! [X0: $i] : ssItem(skaf74(X0)),
inference(cnf_transformation,[],[f21]) ).
tcf(c_269,plain,
! [X0: $i] : ssList(skaf73(X0)),
inference(cnf_transformation,[],[f22]) ).
tcf(c_270,plain,
! [X0: $i] : ssList(skaf72(X0)),
inference(cnf_transformation,[],[f23]) ).
tcf(c_271,plain,
! [X0: $i] : ssList(skaf71(X0)),
inference(cnf_transformation,[],[f24]) ).
tcf(c_272,plain,
! [X0: $i] : ssItem(skaf70(X0)),
inference(cnf_transformation,[],[f25]) ).
tcf(c_273,plain,
! [X0: $i] : ssItem(skaf69(X0)),
inference(cnf_transformation,[],[f26]) ).
tcf(c_274,plain,
! [X0: $i] : ssList(skaf68(X0)),
inference(cnf_transformation,[],[f27]) ).
tcf(c_275,plain,
! [X0: $i] : ssList(skaf67(X0)),
inference(cnf_transformation,[],[f28]) ).
tcf(c_276,plain,
! [X0: $i] : ssList(skaf66(X0)),
inference(cnf_transformation,[],[f29]) ).
tcf(c_277,plain,
! [X0: $i] : ssItem(skaf65(X0)),
inference(cnf_transformation,[],[f30]) ).
tcf(c_278,plain,
! [X0: $i] : ssItem(skaf64(X0)),
inference(cnf_transformation,[],[f31]) ).
tcf(c_279,plain,
! [X0: $i] : ssList(skaf63(X0)),
inference(cnf_transformation,[],[f32]) ).
tcf(c_280,plain,
! [X0: $i] : ssList(skaf62(X0)),
inference(cnf_transformation,[],[f33]) ).
tcf(c_281,plain,
! [X0: $i] : ssList(skaf61(X0)),
inference(cnf_transformation,[],[f34]) ).
tcf(c_282,plain,
! [X0: $i] : ssItem(skaf60(X0)),
inference(cnf_transformation,[],[f35]) ).
tcf(c_283,plain,
! [X0: $i] : ssItem(skaf59(X0)),
inference(cnf_transformation,[],[f36]) ).
tcf(c_284,plain,
! [X0: $i] : ssList(skaf58(X0)),
inference(cnf_transformation,[],[f37]) ).
tcf(c_285,plain,
! [X0: $i] : ssList(skaf57(X0)),
inference(cnf_transformation,[],[f38]) ).
tcf(c_286,plain,
! [X0: $i] : ssList(skaf56(X0)),
inference(cnf_transformation,[],[f39]) ).
tcf(c_287,plain,
! [X0: $i] : ssItem(skaf55(X0)),
inference(cnf_transformation,[],[f40]) ).
tcf(c_288,plain,
! [X0: $i] : ssItem(skaf54(X0)),
inference(cnf_transformation,[],[f41]) ).
tcf(c_289,plain,
! [X0: $i] : ssList(skaf53(X0)),
inference(cnf_transformation,[],[f42]) ).
tcf(c_290,plain,
! [X0: $i] : ssList(skaf52(X0)),
inference(cnf_transformation,[],[f43]) ).
tcf(c_291,plain,
! [X0: $i] : ssList(skaf51(X0)),
inference(cnf_transformation,[],[f44]) ).
tcf(c_292,plain,
! [X0: $i] : ssItem(skaf50(X0)),
inference(cnf_transformation,[],[f45]) ).
tcf(c_293,plain,
! [X0: $i] : ssItem(skaf49(X0)),
inference(cnf_transformation,[],[f46]) ).
tcf(c_294,plain,
! [X0: $i] : ssItem(skaf44(X0)),
inference(cnf_transformation,[],[f47]) ).
tcf(c_295,plain,
! [X0: $i,X1: $i] : ssList(skaf48(X0,X1)),
inference(cnf_transformation,[],[f48]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i] : ssList(skaf47(X0,X1)),
inference(cnf_transformation,[],[f49]) ).
tcf(c_297,plain,
! [X0: $i,X1: $i] : ssList(skaf46(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
tcf(c_298,plain,
! [X0: $i,X1: $i] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[],[f51]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i] : ssList(skaf43(X0,X1)),
inference(cnf_transformation,[],[f52]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i] : ssList(skaf42(X0,X1)),
inference(cnf_transformation,[],[f53]) ).
tcf(c_301,plain,
skac3 != skac2,
inference(cnf_transformation,[],[f54]) ).
tcf(c_302,plain,
! [X0: $i] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_303,plain,
! [X0: $i] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_304,plain,
! [X0: $i] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_305,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_306,plain,
! [X0: $i] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_307,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_308,plain,
! [X0: $i] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_309,plain,
! [X0: $i] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_311,plain,
! [X0: $i] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_312,plain,
! [X0: $i] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_313,plain,
! [X0: $i] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_314,plain,
! [X0: $i] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_315,plain,
! [X0: $i] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_316,plain,
! [X0: $i] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_317,plain,
! [X0: $i] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_318,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_320,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_321,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_324,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_325,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_326,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_327,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_328,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_329,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_330,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_331,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_332,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_333,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_334,plain,
! [X0: $i] :
( cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_335,plain,
! [X0: $i] :
( cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_336,plain,
! [X0: $i] :
( equalelemsP(X0)
| ~ ssList(X0)
| ( skaf79(X0) != skaf78(X0) ) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_337,plain,
! [X0: $i] :
( strictorderedP(X0)
| ~ ssList(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_338,plain,
! [X0: $i] :
( totalorderedP(X0)
| ~ ssList(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_339,plain,
! [X0: $i] :
( strictorderP(X0)
| ~ ssList(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_340,plain,
! [X0: $i] :
( strictorderP(X0)
| ~ ssList(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_341,plain,
! [X0: $i] :
( totalorderP(X0)
| ~ ssList(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_342,plain,
! [X0: $i] :
( totalorderP(X0)
| ~ ssList(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(X1,X0)) = X0 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(X1,X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_346,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_348,plain,
! [X0: $i] :
( ( cons(skaf44(X0),nil) = X0 )
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_350,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_351,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_352,plain,
! [X0: $i,X1: $i] :
( lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_353,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_354,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_355,plain,
! [X0: $i,X1: $i] :
( geq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_356,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skaf83(X0),skaf82(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_357,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_358,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_361,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_363,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_365,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_366,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_369,plain,
! [X0: $i,X1: $i] :
( lt(X0,X1)
| ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( hd(app(X1,X0)) = hd(X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X1)
| ( X1 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X1)
| ( X1 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_373,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_374,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_375,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_376,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_377,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(X0,X1),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_379,plain,
! [X0: $i,X1: $i] :
( ( app(X1,skaf45(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_380,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( app(tl(X1),X0) = tl(app(X1,X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_381,plain,
! [X0: $i,X1: $i] :
( lt(X0,hd(X1))
| ( X1 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i] :
( leq(X0,hd(X1))
| ( X1 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_383,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(app(X2,X0),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_384,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_385,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_386,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(cons(X2,X0),X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_387,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_388,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_389,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_390,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_391,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_392,plain,
( ( app(nil,nil) = nil )
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_393,plain,
! [X0: $i,X1: $i,X2: $i] :
( gt(X0,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_394,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X0,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_395,plain,
! [X0: $i,X1: $i,X2: $i] :
( geq(X0,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X2)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X2,X1),X0) = app(X2,app(X1,X0)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != app(X0,X2) ) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_398,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != app(X2,X1) ) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_399,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_400,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_401,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_402,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X0,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X2)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_403,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_404,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X2,app(X0,X1)) = app(cons(X2,X0),X1) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_405,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| memberP(X0,X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(app(X0,X1),X2) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_406,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X0,X1))
| ( X1 = nil )
| ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(X0,hd(X1)) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_407,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X0,X1))
| ( X1 = nil )
| ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ lt(X0,hd(X1)) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_408,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| ( X0 = X2 )
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_409,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_410,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_411,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_412,plain,
! [X0: $i] :
( strictorderP(X0)
| ( app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_413,plain,
! [X0: $i] :
( totalorderP(X0)
| ( app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_414,plain,
! [X0: $i] :
( cyclefreeP(X0)
| ( app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_415,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_416,plain,
! [X0: $i,X1: $i] :
( ( app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| ( cons(X0,X1) != cons(X2,X3) ) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| ( cons(X0,X1) != cons(X2,X3) ) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_420,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X1,X3)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_422,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,X2))) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( X0 = nil )
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( hd(X0) != hd(X1) )
| ( tl(X0) != tl(X1) ) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_425,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(cons(X2,X0),cons(X2,X1))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(app(X0,cons(X1,cons(X2,X3)))) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X3)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X3)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X3,X1)
| lt(X1,X3)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X3,X1)
| leq(X1,X3)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X3,X1)
| ~ leq(X1,X3)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_435,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_436,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_437,negated_conjecture,
ssItem(sk5),
inference(cnf_transformation,[],[f206]) ).
tcf(c_438,negated_conjecture,
ssItem(sk6),
inference(cnf_transformation,[],[f207]) ).
tcf(c_439,negated_conjecture,
ssList(sk7),
inference(cnf_transformation,[],[f208]) ).
tcf(c_440,negated_conjecture,
ssList(sk8),
inference(cnf_transformation,[],[f209]) ).
tcf(c_441,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk3,
inference(cnf_transformation,[],[f217]) ).
tcf(c_442,negated_conjecture,
sk5 != sk6,
inference(cnf_transformation,[],[f212]) ).
tcf(c_443,negated_conjecture,
ssItem(sk9),
inference(cnf_transformation,[],[f213]) ).
tcf(c_444,negated_conjecture,
! [X0: $i] :
( ( X0 = sk9 )
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_553,plain,
frontsegP(nil,nil),
inference(global_subsumption_just,[status(thm)],[c_330,c_255,c_330]) ).
tcf(c_555,plain,
rearsegP(nil,nil),
inference(global_subsumption_just,[status(thm)],[c_328,c_255,c_328]) ).
tcf(c_557,plain,
segmentP(nil,nil),
inference(global_subsumption_just,[status(thm)],[c_326,c_255,c_326]) ).
tcf(c_559,plain,
app(nil,nil) = nil,
inference(global_subsumption_just,[status(thm)],[c_392,c_255,c_392]) ).
tcf(c_807,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_390,c_332]) ).
tcf(c_808,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_391,c_332]) ).
tcf(c_6470,plain,
! [X0: $i] :
( ~ iPr_def_10
| ssItem(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_319]) ).
tcf(c_6471,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ ssList(X0)
| duplicatefreeP(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_319]) ).
tcf(c_6472,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_319]) ).
tcf(c_6473,definition,
iPr_def_12 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6474,definition,
iPr_def_13 = app(sk7,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_6475,definition,
iPr_def_14 = cons(sk6,nil),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6476,definition,
iPr_def_15 = app(iPr_def_13,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_6477,definition,
iPr_def_16 = app(iPr_def_15,sk8),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_6478,negated_conjecture,
iPr_def_16 = sk3,
inference(demodulation,[status(thm)],[c_441,c_6475,c_6473,c_6474,c_6476,c_6477]) ).
tcf(c_6479,negated_conjecture,
! [X0: $i] :
( ( X0 = sk9 )
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(demodulation,[status(thm)],[c_444]) ).
tcf(c_6480,negated_conjecture,
ssItem(sk9),
inference(demodulation,[status(thm)],[c_443]) ).
tcf(c_6481,negated_conjecture,
sk5 != sk6,
inference(demodulation,[status(thm)],[c_442]) ).
tcf(c_6482,negated_conjecture,
ssList(sk8),
inference(demodulation,[status(thm)],[c_440]) ).
tcf(c_6483,negated_conjecture,
ssList(sk7),
inference(demodulation,[status(thm)],[c_439]) ).
tcf(c_6484,negated_conjecture,
ssItem(sk6),
inference(demodulation,[status(thm)],[c_438]) ).
tcf(c_6485,negated_conjecture,
ssItem(sk5),
inference(demodulation,[status(thm)],[c_437]) ).
tcf(c_6486,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_436]) ).
tcf(c_6487,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_435]) ).
tcf(c_9020,plain,
ssList(iPr_def_16),
inference(light_normalisation,[status(thm)],[c_6487,c_6478]) ).
tcf(c_9021,plain,
! [X0: $i] :
( ( X0 = sk9 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0) ),
inference(light_normalisation,[status(thm)],[c_6479,c_6478]) ).
tcf(c_9069,plain,
( equalelemsP(iPr_def_12)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_6473,c_311]) ).
tcf(c_9070,plain,
( equalelemsP(iPr_def_14)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_6475,c_311]) ).
tcf(c_9071,plain,
equalelemsP(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_9070,c_6484]) ).
tcf(c_9072,plain,
equalelemsP(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9069,c_6485]) ).
tcf(c_9077,plain,
( duplicatefreeP(iPr_def_12)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_6473,c_312]) ).
tcf(c_9078,plain,
( duplicatefreeP(iPr_def_14)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_6475,c_312]) ).
tcf(c_9079,plain,
duplicatefreeP(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_9078,c_6484]) ).
tcf(c_9080,plain,
duplicatefreeP(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9077,c_6485]) ).
tcf(c_9085,plain,
( strictorderedP(iPr_def_12)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_6473,c_313]) ).
tcf(c_9086,plain,
( strictorderedP(iPr_def_14)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_6475,c_313]) ).
tcf(c_9087,plain,
strictorderedP(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_9086,c_6484]) ).
tcf(c_9088,plain,
strictorderedP(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9085,c_6485]) ).
tcf(c_9093,plain,
( totalorderedP(iPr_def_12)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_6473,c_314]) ).
tcf(c_9094,plain,
( totalorderedP(iPr_def_14)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_6475,c_314]) ).
tcf(c_9095,plain,
totalorderedP(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_9094,c_6484]) ).
tcf(c_9096,plain,
totalorderedP(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9093,c_6485]) ).
tcf(c_9101,plain,
app(sk4,nil) = sk4,
inference(superposition,[status(thm)],[c_6486,c_320]) ).
tcf(c_9102,plain,
app(sk7,nil) = sk7,
inference(superposition,[status(thm)],[c_6483,c_320]) ).
tcf(c_9103,plain,
app(sk8,nil) = sk8,
inference(superposition,[status(thm)],[c_6482,c_320]) ).
tcf(c_9105,plain,
! [X0: $i] : app(skaf82(X0),nil) = skaf82(X0),
inference(superposition,[status(thm)],[c_260,c_320]) ).
tcf(c_9106,plain,
! [X0: $i] : app(skaf81(X0),nil) = skaf81(X0),
inference(superposition,[status(thm)],[c_261,c_320]) ).
tcf(c_9107,plain,
! [X0: $i] : app(skaf80(X0),nil) = skaf80(X0),
inference(superposition,[status(thm)],[c_262,c_320]) ).
tcf(c_9108,plain,
! [X0: $i] : app(skaf77(X0),nil) = skaf77(X0),
inference(superposition,[status(thm)],[c_265,c_320]) ).
tcf(c_9109,plain,
! [X0: $i] : app(skaf76(X0),nil) = skaf76(X0),
inference(superposition,[status(thm)],[c_266,c_320]) ).
tcf(c_9110,plain,
! [X0: $i] : app(skaf75(X0),nil) = skaf75(X0),
inference(superposition,[status(thm)],[c_267,c_320]) ).
tcf(c_9111,plain,
! [X0: $i] : app(skaf73(X0),nil) = skaf73(X0),
inference(superposition,[status(thm)],[c_269,c_320]) ).
tcf(c_9112,plain,
! [X0: $i] : app(skaf72(X0),nil) = skaf72(X0),
inference(superposition,[status(thm)],[c_270,c_320]) ).
tcf(c_9113,plain,
! [X0: $i] : app(skaf71(X0),nil) = skaf71(X0),
inference(superposition,[status(thm)],[c_271,c_320]) ).
tcf(c_9114,plain,
! [X0: $i] : app(skaf68(X0),nil) = skaf68(X0),
inference(superposition,[status(thm)],[c_274,c_320]) ).
tcf(c_9115,plain,
! [X0: $i] : app(skaf67(X0),nil) = skaf67(X0),
inference(superposition,[status(thm)],[c_275,c_320]) ).
tcf(c_9116,plain,
! [X0: $i] : app(skaf66(X0),nil) = skaf66(X0),
inference(superposition,[status(thm)],[c_276,c_320]) ).
tcf(c_9117,plain,
! [X0: $i] : app(skaf63(X0),nil) = skaf63(X0),
inference(superposition,[status(thm)],[c_279,c_320]) ).
tcf(c_9118,plain,
! [X0: $i] : app(skaf62(X0),nil) = skaf62(X0),
inference(superposition,[status(thm)],[c_280,c_320]) ).
tcf(c_9119,plain,
! [X0: $i] : app(skaf61(X0),nil) = skaf61(X0),
inference(superposition,[status(thm)],[c_281,c_320]) ).
tcf(c_9120,plain,
! [X0: $i] : app(skaf58(X0),nil) = skaf58(X0),
inference(superposition,[status(thm)],[c_284,c_320]) ).
tcf(c_9121,plain,
! [X0: $i] : app(skaf57(X0),nil) = skaf57(X0),
inference(superposition,[status(thm)],[c_285,c_320]) ).
tcf(c_9122,plain,
! [X0: $i] : app(skaf56(X0),nil) = skaf56(X0),
inference(superposition,[status(thm)],[c_286,c_320]) ).
tcf(c_9123,plain,
! [X0: $i] : app(skaf53(X0),nil) = skaf53(X0),
inference(superposition,[status(thm)],[c_289,c_320]) ).
tcf(c_9124,plain,
! [X0: $i] : app(skaf52(X0),nil) = skaf52(X0),
inference(superposition,[status(thm)],[c_290,c_320]) ).
tcf(c_9125,plain,
! [X0: $i] : app(skaf51(X0),nil) = skaf51(X0),
inference(superposition,[status(thm)],[c_291,c_320]) ).
tcf(c_9126,plain,
! [X0: $i,X1: $i] : app(skaf48(X0,X1),nil) = skaf48(X0,X1),
inference(superposition,[status(thm)],[c_295,c_320]) ).
tcf(c_9127,plain,
! [X0: $i,X1: $i] : app(skaf47(X0,X1),nil) = skaf47(X0,X1),
inference(superposition,[status(thm)],[c_296,c_320]) ).
tcf(c_9128,plain,
! [X0: $i,X1: $i] : app(skaf46(X0,X1),nil) = skaf46(X0,X1),
inference(superposition,[status(thm)],[c_297,c_320]) ).
tcf(c_9129,plain,
! [X0: $i,X1: $i] : app(skaf45(X0,X1),nil) = skaf45(X0,X1),
inference(superposition,[status(thm)],[c_298,c_320]) ).
tcf(c_9130,plain,
! [X0: $i,X1: $i] : app(skaf43(X0,X1),nil) = skaf43(X0,X1),
inference(superposition,[status(thm)],[c_299,c_320]) ).
tcf(c_9131,plain,
! [X0: $i,X1: $i] : app(skaf42(X0,X1),nil) = skaf42(X0,X1),
inference(superposition,[status(thm)],[c_300,c_320]) ).
tcf(c_9132,plain,
app(iPr_def_16,nil) = iPr_def_16,
inference(superposition,[status(thm)],[c_9020,c_320]) ).
tcf(c_9164,plain,
( strictorderP(iPr_def_12)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_6473,c_315]) ).
tcf(c_9165,plain,
( strictorderP(iPr_def_14)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_6475,c_315]) ).
tcf(c_9166,plain,
strictorderP(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_9165,c_6484]) ).
tcf(c_9167,plain,
strictorderP(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9164,c_6485]) ).
tcf(c_9172,plain,
( totalorderP(iPr_def_12)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_6473,c_316]) ).
tcf(c_9173,plain,
( totalorderP(iPr_def_14)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_6475,c_316]) ).
tcf(c_9174,plain,
totalorderP(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_9173,c_6484]) ).
tcf(c_9175,plain,
totalorderP(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9172,c_6485]) ).
tcf(c_9180,plain,
( cyclefreeP(iPr_def_12)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_6473,c_317]) ).
tcf(c_9181,plain,
( cyclefreeP(iPr_def_14)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_6475,c_317]) ).
tcf(c_9182,plain,
cyclefreeP(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_9181,c_6484]) ).
tcf(c_9183,plain,
cyclefreeP(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9180,c_6485]) ).
tcf(c_9196,plain,
app(nil,sk4) = sk4,
inference(superposition,[status(thm)],[c_6486,c_321]) ).
tcf(c_9197,plain,
app(nil,sk7) = sk7,
inference(superposition,[status(thm)],[c_6483,c_321]) ).
tcf(c_9198,plain,
app(nil,sk8) = sk8,
inference(superposition,[status(thm)],[c_6482,c_321]) ).
tcf(c_9200,plain,
! [X0: $i] : app(nil,skaf82(X0)) = skaf82(X0),
inference(superposition,[status(thm)],[c_260,c_321]) ).
tcf(c_9201,plain,
! [X0: $i] : app(nil,skaf81(X0)) = skaf81(X0),
inference(superposition,[status(thm)],[c_261,c_321]) ).
tcf(c_9202,plain,
! [X0: $i] : app(nil,skaf80(X0)) = skaf80(X0),
inference(superposition,[status(thm)],[c_262,c_321]) ).
tcf(c_9203,plain,
! [X0: $i] : app(nil,skaf77(X0)) = skaf77(X0),
inference(superposition,[status(thm)],[c_265,c_321]) ).
tcf(c_9204,plain,
! [X0: $i] : app(nil,skaf76(X0)) = skaf76(X0),
inference(superposition,[status(thm)],[c_266,c_321]) ).
tcf(c_9205,plain,
! [X0: $i] : app(nil,skaf75(X0)) = skaf75(X0),
inference(superposition,[status(thm)],[c_267,c_321]) ).
tcf(c_9206,plain,
! [X0: $i] : app(nil,skaf73(X0)) = skaf73(X0),
inference(superposition,[status(thm)],[c_269,c_321]) ).
tcf(c_9207,plain,
! [X0: $i] : app(nil,skaf72(X0)) = skaf72(X0),
inference(superposition,[status(thm)],[c_270,c_321]) ).
tcf(c_9208,plain,
! [X0: $i] : app(nil,skaf71(X0)) = skaf71(X0),
inference(superposition,[status(thm)],[c_271,c_321]) ).
tcf(c_9209,plain,
! [X0: $i] : app(nil,skaf68(X0)) = skaf68(X0),
inference(superposition,[status(thm)],[c_274,c_321]) ).
tcf(c_9210,plain,
! [X0: $i] : app(nil,skaf67(X0)) = skaf67(X0),
inference(superposition,[status(thm)],[c_275,c_321]) ).
tcf(c_9211,plain,
! [X0: $i] : app(nil,skaf66(X0)) = skaf66(X0),
inference(superposition,[status(thm)],[c_276,c_321]) ).
tcf(c_9212,plain,
! [X0: $i] : app(nil,skaf63(X0)) = skaf63(X0),
inference(superposition,[status(thm)],[c_279,c_321]) ).
tcf(c_9213,plain,
! [X0: $i] : app(nil,skaf62(X0)) = skaf62(X0),
inference(superposition,[status(thm)],[c_280,c_321]) ).
tcf(c_9214,plain,
! [X0: $i] : app(nil,skaf61(X0)) = skaf61(X0),
inference(superposition,[status(thm)],[c_281,c_321]) ).
tcf(c_9215,plain,
! [X0: $i] : app(nil,skaf58(X0)) = skaf58(X0),
inference(superposition,[status(thm)],[c_284,c_321]) ).
tcf(c_9216,plain,
! [X0: $i] : app(nil,skaf57(X0)) = skaf57(X0),
inference(superposition,[status(thm)],[c_285,c_321]) ).
tcf(c_9217,plain,
! [X0: $i] : app(nil,skaf56(X0)) = skaf56(X0),
inference(superposition,[status(thm)],[c_286,c_321]) ).
tcf(c_9218,plain,
! [X0: $i] : app(nil,skaf53(X0)) = skaf53(X0),
inference(superposition,[status(thm)],[c_289,c_321]) ).
tcf(c_9219,plain,
! [X0: $i] : app(nil,skaf52(X0)) = skaf52(X0),
inference(superposition,[status(thm)],[c_290,c_321]) ).
tcf(c_9220,plain,
! [X0: $i] : app(nil,skaf51(X0)) = skaf51(X0),
inference(superposition,[status(thm)],[c_291,c_321]) ).
tcf(c_9221,plain,
! [X0: $i,X1: $i] : app(nil,skaf48(X0,X1)) = skaf48(X0,X1),
inference(superposition,[status(thm)],[c_295,c_321]) ).
tcf(c_9222,plain,
! [X0: $i,X1: $i] : app(nil,skaf47(X0,X1)) = skaf47(X0,X1),
inference(superposition,[status(thm)],[c_296,c_321]) ).
tcf(c_9223,plain,
! [X0: $i,X1: $i] : app(nil,skaf46(X0,X1)) = skaf46(X0,X1),
inference(superposition,[status(thm)],[c_297,c_321]) ).
tcf(c_9224,plain,
! [X0: $i,X1: $i] : app(nil,skaf45(X0,X1)) = skaf45(X0,X1),
inference(superposition,[status(thm)],[c_298,c_321]) ).
tcf(c_9225,plain,
! [X0: $i,X1: $i] : app(nil,skaf43(X0,X1)) = skaf43(X0,X1),
inference(superposition,[status(thm)],[c_299,c_321]) ).
tcf(c_9226,plain,
! [X0: $i,X1: $i] : app(nil,skaf42(X0,X1)) = skaf42(X0,X1),
inference(superposition,[status(thm)],[c_300,c_321]) ).
tcf(c_9227,plain,
app(nil,iPr_def_16) = iPr_def_16,
inference(superposition,[status(thm)],[c_9020,c_321]) ).
tcf(c_9261,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,tl(X0)) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_321]) ).
tcf(c_9262,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(tl(X0),nil) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_320]) ).
tcf(c_9281,plain,
( duplicatefreeP(sk4)
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_6486,c_6471]) ).
tcf(c_9282,plain,
( duplicatefreeP(sk7)
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_6483,c_6471]) ).
tcf(c_9283,plain,
( duplicatefreeP(sk8)
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_6482,c_6471]) ).
tcf(c_9285,plain,
! [X0: $i] :
( duplicatefreeP(skaf82(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_260,c_6471]) ).
tcf(c_9286,plain,
! [X0: $i] :
( duplicatefreeP(skaf81(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_261,c_6471]) ).
tcf(c_9287,plain,
! [X0: $i] :
( duplicatefreeP(skaf80(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_262,c_6471]) ).
tcf(c_9288,plain,
! [X0: $i] :
( duplicatefreeP(skaf77(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_265,c_6471]) ).
tcf(c_9289,plain,
! [X0: $i] :
( duplicatefreeP(skaf76(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_266,c_6471]) ).
tcf(c_9290,plain,
! [X0: $i] :
( duplicatefreeP(skaf75(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_267,c_6471]) ).
tcf(c_9291,plain,
! [X0: $i] :
( duplicatefreeP(skaf73(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_269,c_6471]) ).
tcf(c_9292,plain,
! [X0: $i] :
( duplicatefreeP(skaf72(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_270,c_6471]) ).
tcf(c_9293,plain,
! [X0: $i] :
( duplicatefreeP(skaf71(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_271,c_6471]) ).
tcf(c_9294,plain,
! [X0: $i] :
( duplicatefreeP(skaf68(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_274,c_6471]) ).
tcf(c_9295,plain,
! [X0: $i] :
( duplicatefreeP(skaf67(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_275,c_6471]) ).
tcf(c_9296,plain,
! [X0: $i] :
( duplicatefreeP(skaf66(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_276,c_6471]) ).
tcf(c_9297,plain,
! [X0: $i] :
( duplicatefreeP(skaf63(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_279,c_6471]) ).
tcf(c_9298,plain,
! [X0: $i] :
( duplicatefreeP(skaf62(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_280,c_6471]) ).
tcf(c_9299,plain,
! [X0: $i] :
( duplicatefreeP(skaf61(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_281,c_6471]) ).
tcf(c_9300,plain,
! [X0: $i] :
( duplicatefreeP(skaf58(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_284,c_6471]) ).
tcf(c_9301,plain,
! [X0: $i] :
( duplicatefreeP(skaf57(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_285,c_6471]) ).
tcf(c_9302,plain,
! [X0: $i] :
( duplicatefreeP(skaf56(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_286,c_6471]) ).
tcf(c_9303,plain,
! [X0: $i] :
( duplicatefreeP(skaf53(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_289,c_6471]) ).
tcf(c_9304,plain,
! [X0: $i] :
( duplicatefreeP(skaf52(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_290,c_6471]) ).
tcf(c_9305,plain,
! [X0: $i] :
( duplicatefreeP(skaf51(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_291,c_6471]) ).
tcf(c_9306,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(skaf48(X0,X1))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_295,c_6471]) ).
tcf(c_9307,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(skaf47(X0,X1))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_296,c_6471]) ).
tcf(c_9308,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(skaf46(X0,X1))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_297,c_6471]) ).
tcf(c_9309,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(skaf45(X0,X1))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_298,c_6471]) ).
tcf(c_9310,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(skaf43(X0,X1))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_299,c_6471]) ).
tcf(c_9311,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(skaf42(X0,X1))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_300,c_6471]) ).
tcf(c_9312,plain,
! [X0: $i] :
( duplicatefreeP(tl(X0))
| ( X0 = nil )
| ~ iPr_def_11
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_6471]) ).
tcf(c_9313,plain,
( duplicatefreeP(iPr_def_16)
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_9020,c_6471]) ).
tcf(c_9442,plain,
( ssList(iPr_def_13)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_6474,c_332]) ).
tcf(c_9443,plain,
( ssList(iPr_def_15)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_6476,c_332]) ).
tcf(c_9455,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(app(X1,X0))
| ~ iPr_def_11
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_6471]) ).
tcf(c_9456,plain,
! [X0: $i,X1: $i] :
( ( app(nil,app(X1,X0)) = app(X1,X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_321]) ).
tcf(c_9457,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,X0),nil) = app(X1,X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_320]) ).
tcf(c_9461,plain,
( ssList(iPr_def_13)
| ~ ssList(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9442,c_6483]) ).
tcf(c_9483,plain,
( ssList(iPr_def_12)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6473,c_333]) ).
tcf(c_9484,plain,
( ssList(iPr_def_14)
| ~ ssItem(sk6)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6475,c_333]) ).
tcf(c_9485,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(cons(X1,X0))
| ~ iPr_def_11
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_6471]) ).
tcf(c_9486,plain,
! [X0: $i,X1: $i] :
( ( app(nil,cons(X1,X0)) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_321]) ).
tcf(c_9487,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,X0),nil) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_320]) ).
tcf(c_9488,plain,
ssList(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_9484,c_6484,c_255]) ).
tcf(c_9489,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9483,c_6485,c_255]) ).
tcf(c_9514,plain,
app(nil,iPr_def_14) = iPr_def_14,
inference(superposition,[status(thm)],[c_9488,c_321]) ).
tcf(c_9515,plain,
app(iPr_def_14,nil) = iPr_def_14,
inference(superposition,[status(thm)],[c_9488,c_320]) ).
tcf(c_9517,plain,
app(nil,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_9489,c_321]) ).
tcf(c_9518,plain,
app(iPr_def_12,nil) = iPr_def_12,
inference(superposition,[status(thm)],[c_9489,c_320]) ).
tcf(c_9527,plain,
ssList(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_9461,c_9461,c_9489]) ).
tcf(c_9529,plain,
( duplicatefreeP(iPr_def_13)
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_9527,c_6471]) ).
tcf(c_9530,plain,
app(nil,iPr_def_13) = iPr_def_13,
inference(superposition,[status(thm)],[c_9527,c_321]) ).
tcf(c_9531,plain,
app(iPr_def_13,nil) = iPr_def_13,
inference(superposition,[status(thm)],[c_9527,c_320]) ).
tcf(c_9706,plain,
( memberP(iPr_def_12,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6473,c_385]) ).
tcf(c_9707,plain,
( memberP(iPr_def_14,sk6)
| ~ ssItem(sk6)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6475,c_385]) ).
tcf(c_9708,plain,
memberP(iPr_def_14,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_9707,c_6484,c_255]) ).
tcf(c_9709,plain,
memberP(iPr_def_12,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_9706,c_6485,c_255]) ).
tcf(c_9717,plain,
( rearsegP(iPr_def_13,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_6474,c_807]) ).
tcf(c_9718,plain,
( rearsegP(iPr_def_15,iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_6476,c_807]) ).
tcf(c_9719,plain,
( rearsegP(iPr_def_16,sk8)
| ~ ssList(iPr_def_15)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_6477,c_807]) ).
tcf(c_9720,plain,
( rearsegP(sk4,nil)
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_9101,c_807]) ).
tcf(c_9721,plain,
( rearsegP(sk7,nil)
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_9102,c_807]) ).
tcf(c_9722,plain,
( rearsegP(sk8,nil)
| ~ ssList(nil)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_9103,c_807]) ).
tcf(c_9723,plain,
! [X0: $i] :
( rearsegP(skaf82(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf82(X0)) ),
inference(superposition,[status(thm)],[c_9105,c_807]) ).
tcf(c_9724,plain,
! [X0: $i] :
( rearsegP(skaf81(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf81(X0)) ),
inference(superposition,[status(thm)],[c_9106,c_807]) ).
tcf(c_9725,plain,
! [X0: $i] :
( rearsegP(skaf80(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf80(X0)) ),
inference(superposition,[status(thm)],[c_9107,c_807]) ).
tcf(c_9726,plain,
! [X0: $i] :
( rearsegP(skaf77(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf77(X0)) ),
inference(superposition,[status(thm)],[c_9108,c_807]) ).
tcf(c_9727,plain,
! [X0: $i] :
( rearsegP(skaf76(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf76(X0)) ),
inference(superposition,[status(thm)],[c_9109,c_807]) ).
tcf(c_9728,plain,
! [X0: $i] :
( rearsegP(skaf75(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf75(X0)) ),
inference(superposition,[status(thm)],[c_9110,c_807]) ).
tcf(c_9729,plain,
! [X0: $i] :
( rearsegP(skaf73(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf73(X0)) ),
inference(superposition,[status(thm)],[c_9111,c_807]) ).
tcf(c_9730,plain,
( rearsegP(iPr_def_16,nil)
| ~ ssList(iPr_def_16)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9132,c_807]) ).
tcf(c_9731,plain,
( rearsegP(sk4,sk4)
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_9196,c_807]) ).
tcf(c_9732,plain,
( rearsegP(sk7,sk7)
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_9197,c_807]) ).
tcf(c_9733,plain,
( rearsegP(sk8,sk8)
| ~ ssList(nil)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_9198,c_807]) ).
tcf(c_9734,plain,
( rearsegP(iPr_def_16,iPr_def_16)
| ~ ssList(iPr_def_16)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9227,c_807]) ).
tcf(c_9735,plain,
( rearsegP(iPr_def_14,iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9514,c_807]) ).
tcf(c_9736,plain,
( rearsegP(iPr_def_14,nil)
| ~ ssList(iPr_def_14)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9515,c_807]) ).
tcf(c_9737,plain,
( rearsegP(iPr_def_12,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9517,c_807]) ).
tcf(c_9738,plain,
( rearsegP(iPr_def_12,nil)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9518,c_807]) ).
tcf(c_9739,plain,
( rearsegP(iPr_def_13,iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9530,c_807]) ).
tcf(c_9740,plain,
( rearsegP(iPr_def_13,nil)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9531,c_807]) ).
tcf(c_9741,plain,
rearsegP(iPr_def_13,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9740,c_9527,c_255]) ).
tcf(c_9742,plain,
rearsegP(iPr_def_13,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_9739,c_9527,c_255]) ).
tcf(c_9743,plain,
rearsegP(iPr_def_12,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9738,c_9489,c_255]) ).
tcf(c_9744,plain,
rearsegP(iPr_def_12,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9737,c_9489,c_255]) ).
tcf(c_9745,plain,
rearsegP(iPr_def_14,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9736,c_9488,c_255]) ).
tcf(c_9746,plain,
rearsegP(iPr_def_14,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_9735,c_9488,c_255]) ).
tcf(c_9747,plain,
rearsegP(iPr_def_16,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_9734,c_9020,c_255]) ).
tcf(c_9748,plain,
rearsegP(sk8,sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_9733,c_255,c_6482]) ).
tcf(c_9749,plain,
rearsegP(sk7,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_9732,c_255,c_6483]) ).
tcf(c_9750,plain,
rearsegP(sk4,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_9731,c_255,c_6486]) ).
tcf(c_9751,plain,
rearsegP(iPr_def_16,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9730,c_9020,c_255]) ).
tcf(c_9752,plain,
rearsegP(sk8,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9722,c_255,c_6482]) ).
tcf(c_9753,plain,
rearsegP(sk7,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9721,c_255,c_6483]) ).
tcf(c_9754,plain,
rearsegP(sk4,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9720,c_255,c_6486]) ).
tcf(c_9755,plain,
( rearsegP(iPr_def_16,sk8)
| ~ ssList(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9719,c_6482]) ).
tcf(c_9758,plain,
rearsegP(iPr_def_15,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_9718,c_9488,c_9527]) ).
tcf(c_9759,plain,
rearsegP(iPr_def_13,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9717,c_9489,c_6483]) ).
tcf(c_9760,plain,
! [X0: $i] : rearsegP(skaf73(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9729,c_255,c_269]) ).
tcf(c_9761,plain,
! [X0: $i] : rearsegP(skaf75(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9728,c_255,c_267]) ).
tcf(c_9762,plain,
! [X0: $i] : rearsegP(skaf76(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9727,c_255,c_266]) ).
tcf(c_9763,plain,
! [X0: $i] : rearsegP(skaf77(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9726,c_255,c_265]) ).
tcf(c_9764,plain,
! [X0: $i] : rearsegP(skaf80(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9725,c_255,c_262]) ).
tcf(c_9765,plain,
! [X0: $i] : rearsegP(skaf81(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9724,c_255,c_261]) ).
tcf(c_9766,plain,
! [X0: $i] : rearsegP(skaf82(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9723,c_255,c_260]) ).
tcf(c_9781,plain,
( frontsegP(iPr_def_13,sk7)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_6474,c_808]) ).
tcf(c_9782,plain,
( frontsegP(iPr_def_15,iPr_def_13)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_6476,c_808]) ).
tcf(c_9783,plain,
( frontsegP(iPr_def_16,iPr_def_15)
| ~ ssList(iPr_def_15)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_6477,c_808]) ).
tcf(c_9784,plain,
( frontsegP(sk4,sk4)
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_9101,c_808]) ).
tcf(c_9785,plain,
( frontsegP(sk7,sk7)
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_9102,c_808]) ).
tcf(c_9786,plain,
( frontsegP(sk8,sk8)
| ~ ssList(nil)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_9103,c_808]) ).
tcf(c_9787,plain,
! [X0: $i] :
( frontsegP(skaf82(X0),skaf82(X0))
| ~ ssList(nil)
| ~ ssList(skaf82(X0)) ),
inference(superposition,[status(thm)],[c_9105,c_808]) ).
tcf(c_9788,plain,
! [X0: $i] :
( frontsegP(skaf81(X0),skaf81(X0))
| ~ ssList(nil)
| ~ ssList(skaf81(X0)) ),
inference(superposition,[status(thm)],[c_9106,c_808]) ).
tcf(c_9789,plain,
! [X0: $i] :
( frontsegP(skaf80(X0),skaf80(X0))
| ~ ssList(nil)
| ~ ssList(skaf80(X0)) ),
inference(superposition,[status(thm)],[c_9107,c_808]) ).
tcf(c_9790,plain,
! [X0: $i] :
( frontsegP(skaf77(X0),skaf77(X0))
| ~ ssList(nil)
| ~ ssList(skaf77(X0)) ),
inference(superposition,[status(thm)],[c_9108,c_808]) ).
tcf(c_9791,plain,
! [X0: $i] :
( frontsegP(skaf76(X0),skaf76(X0))
| ~ ssList(nil)
| ~ ssList(skaf76(X0)) ),
inference(superposition,[status(thm)],[c_9109,c_808]) ).
tcf(c_9792,plain,
! [X0: $i] :
( frontsegP(skaf75(X0),skaf75(X0))
| ~ ssList(nil)
| ~ ssList(skaf75(X0)) ),
inference(superposition,[status(thm)],[c_9110,c_808]) ).
tcf(c_9793,plain,
! [X0: $i] :
( frontsegP(skaf73(X0),skaf73(X0))
| ~ ssList(nil)
| ~ ssList(skaf73(X0)) ),
inference(superposition,[status(thm)],[c_9111,c_808]) ).
tcf(c_9794,plain,
( frontsegP(iPr_def_16,iPr_def_16)
| ~ ssList(iPr_def_16)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9132,c_808]) ).
tcf(c_9795,plain,
( frontsegP(sk4,nil)
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_9196,c_808]) ).
tcf(c_9796,plain,
( frontsegP(sk7,nil)
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_9197,c_808]) ).
tcf(c_9797,plain,
( frontsegP(sk8,nil)
| ~ ssList(nil)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_9198,c_808]) ).
tcf(c_9798,plain,
( frontsegP(iPr_def_16,nil)
| ~ ssList(iPr_def_16)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9227,c_808]) ).
tcf(c_9799,plain,
( frontsegP(iPr_def_14,nil)
| ~ ssList(iPr_def_14)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9514,c_808]) ).
tcf(c_9800,plain,
( frontsegP(iPr_def_14,iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9515,c_808]) ).
tcf(c_9801,plain,
( frontsegP(iPr_def_12,nil)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9517,c_808]) ).
tcf(c_9802,plain,
( frontsegP(iPr_def_12,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9518,c_808]) ).
tcf(c_9803,plain,
( frontsegP(iPr_def_13,nil)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9530,c_808]) ).
tcf(c_9804,plain,
( frontsegP(iPr_def_13,iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9531,c_808]) ).
tcf(c_9805,plain,
frontsegP(iPr_def_13,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_9804,c_9527,c_255]) ).
tcf(c_9806,plain,
frontsegP(iPr_def_13,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9803,c_9527,c_255]) ).
tcf(c_9807,plain,
frontsegP(iPr_def_12,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9802,c_9489,c_255]) ).
tcf(c_9808,plain,
frontsegP(iPr_def_12,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9801,c_9489,c_255]) ).
tcf(c_9809,plain,
frontsegP(iPr_def_14,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_9800,c_9488,c_255]) ).
tcf(c_9810,plain,
frontsegP(iPr_def_14,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9799,c_9488,c_255]) ).
tcf(c_9811,plain,
frontsegP(iPr_def_16,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9798,c_9020,c_255]) ).
tcf(c_9812,plain,
frontsegP(sk8,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9797,c_255,c_6482]) ).
tcf(c_9813,plain,
frontsegP(sk7,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9796,c_255,c_6483]) ).
tcf(c_9814,plain,
frontsegP(sk4,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9795,c_255,c_6486]) ).
tcf(c_9815,plain,
frontsegP(iPr_def_16,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_9794,c_9020,c_255]) ).
tcf(c_9816,plain,
frontsegP(sk8,sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_9786,c_255,c_6482]) ).
tcf(c_9817,plain,
frontsegP(sk7,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_9785,c_255,c_6483]) ).
tcf(c_9818,plain,
frontsegP(sk4,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_9784,c_255,c_6486]) ).
tcf(c_9819,plain,
( frontsegP(iPr_def_16,iPr_def_15)
| ~ ssList(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9783,c_6482]) ).
tcf(c_9822,plain,
frontsegP(iPr_def_15,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_9782,c_9488,c_9527]) ).
tcf(c_9823,plain,
frontsegP(iPr_def_13,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_9781,c_9489,c_6483]) ).
tcf(c_9824,plain,
! [X0: $i] : frontsegP(skaf73(X0),skaf73(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_9793,c_255,c_269]) ).
tcf(c_9825,plain,
! [X0: $i] : frontsegP(skaf75(X0),skaf75(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_9792,c_255,c_267]) ).
tcf(c_9826,plain,
! [X0: $i] : frontsegP(skaf76(X0),skaf76(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_9791,c_255,c_266]) ).
tcf(c_9827,plain,
! [X0: $i] : frontsegP(skaf77(X0),skaf77(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_9790,c_255,c_265]) ).
tcf(c_9828,plain,
! [X0: $i] : frontsegP(skaf80(X0),skaf80(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_9789,c_255,c_262]) ).
tcf(c_9829,plain,
! [X0: $i] : frontsegP(skaf81(X0),skaf81(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_9788,c_255,c_261]) ).
tcf(c_9830,plain,
! [X0: $i] : frontsegP(skaf82(X0),skaf82(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_9787,c_255,c_260]) ).
tcf(c_9849,plain,
! [X0: $i] :
( frontsegP(skaf72(X0),skaf72(X0))
| ~ ssList(nil)
| ~ ssList(skaf72(X0)) ),
inference(superposition,[status(thm)],[c_9112,c_808]) ).
tcf(c_9850,plain,
! [X0: $i] :
( rearsegP(skaf72(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf72(X0)) ),
inference(superposition,[status(thm)],[c_9112,c_807]) ).
tcf(c_9851,plain,
! [X0: $i] : rearsegP(skaf72(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_9850,c_255,c_270]) ).
tcf(c_9852,plain,
! [X0: $i] : frontsegP(skaf72(X0),skaf72(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_9849,c_255,c_270]) ).
tcf(c_9867,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_333,c_363]) ).
tcf(c_9868,plain,
( singletonP(cons(sk5,nil))
| ~ ssItem(sk5)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_6473,c_363]) ).
tcf(c_9869,plain,
( singletonP(cons(sk6,nil))
| ~ ssItem(sk6)
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_6475,c_363]) ).
tcf(c_9870,plain,
( singletonP(iPr_def_14)
| ~ ssItem(sk6)
| ~ ssList(iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_9869,c_6475]) ).
tcf(c_9872,plain,
( singletonP(iPr_def_12)
| ~ ssItem(sk5)
| ~ ssList(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_9868,c_6473]) ).
tcf(c_9874,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9867,c_255]) ).
tcf(c_9886,plain,
! [X0: $i] :
( ( tl(cons(sk5,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6485,c_343]) ).
tcf(c_9887,plain,
! [X0: $i] :
( ( tl(cons(sk6,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6484,c_343]) ).
tcf(c_9888,plain,
! [X0: $i] :
( ( tl(cons(sk9,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6480,c_343]) ).
tcf(c_9889,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(X1,X0)) = X0 )
| ~ iPr_def_10
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6470,c_343]) ).
tcf(c_9890,plain,
! [X0: $i] :
( ( tl(cons(skac3,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_256,c_343]) ).
tcf(c_9891,plain,
! [X0: $i] :
( ( tl(cons(skac2,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_257,c_343]) ).
tcf(c_9892,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skaf83(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_259,c_343]) ).
tcf(c_9893,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skaf79(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_263,c_343]) ).
tcf(c_9894,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skaf78(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_264,c_343]) ).
tcf(c_9895,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skaf74(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_268,c_343]) ).
tcf(c_9896,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skaf70(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_272,c_343]) ).
tcf(c_9897,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skaf69(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_273,c_343]) ).
tcf(c_9898,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skaf65(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_277,c_343]) ).
tcf(c_9899,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skaf64(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_278,c_343]) ).
tcf(c_9900,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skaf60(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_282,c_343]) ).
tcf(c_9901,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skaf59(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_283,c_343]) ).
tcf(c_9902,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skaf55(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_287,c_343]) ).
tcf(c_9903,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skaf54(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_288,c_343]) ).
tcf(c_9904,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skaf50(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_292,c_343]) ).
tcf(c_9905,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skaf49(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_293,c_343]) ).
tcf(c_9906,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skaf44(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_294,c_343]) ).
tcf(c_9907,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( tl(cons(hd(X0),X1)) = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_325,c_343]) ).
tcf(c_10016,plain,
! [X0: $i] :
( ( hd(cons(sk5,X0)) = sk5 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6485,c_344]) ).
tcf(c_10017,plain,
! [X0: $i] :
( ( hd(cons(sk6,X0)) = sk6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6484,c_344]) ).
tcf(c_10018,plain,
! [X0: $i] :
( ( hd(cons(sk9,X0)) = sk9 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6480,c_344]) ).
tcf(c_10019,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(X1,X0)) = X1 )
| ~ iPr_def_10
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6470,c_344]) ).
tcf(c_10020,plain,
! [X0: $i] :
( ( hd(cons(skac3,X0)) = skac3 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_256,c_344]) ).
tcf(c_10021,plain,
! [X0: $i] :
( ( hd(cons(skac2,X0)) = skac2 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_257,c_344]) ).
tcf(c_10022,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skaf83(X1),X0)) = skaf83(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_259,c_344]) ).
tcf(c_10023,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skaf79(X1),X0)) = skaf79(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_263,c_344]) ).
tcf(c_10024,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skaf78(X1),X0)) = skaf78(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_264,c_344]) ).
tcf(c_10025,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skaf74(X1),X0)) = skaf74(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_268,c_344]) ).
tcf(c_10026,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skaf70(X1),X0)) = skaf70(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_272,c_344]) ).
tcf(c_10027,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skaf69(X1),X0)) = skaf69(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_273,c_344]) ).
tcf(c_10028,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skaf65(X1),X0)) = skaf65(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_277,c_344]) ).
tcf(c_10029,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skaf64(X1),X0)) = skaf64(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_278,c_344]) ).
tcf(c_10030,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skaf60(X1),X0)) = skaf60(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_282,c_344]) ).
tcf(c_10031,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skaf59(X1),X0)) = skaf59(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_283,c_344]) ).
tcf(c_10032,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skaf55(X1),X0)) = skaf55(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_287,c_344]) ).
tcf(c_10033,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skaf54(X1),X0)) = skaf54(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_288,c_344]) ).
tcf(c_10034,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skaf50(X1),X0)) = skaf50(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_292,c_344]) ).
tcf(c_10035,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skaf49(X1),X0)) = skaf49(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_293,c_344]) ).
tcf(c_10036,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skaf44(X1),X0)) = skaf44(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_294,c_344]) ).
tcf(c_10037,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( hd(cons(hd(X0),X1)) = hd(X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_325,c_344]) ).
tcf(c_10130,plain,
rearsegP(iPr_def_16,sk8),
inference(global_subsumption_just,[status(thm)],[c_9755,c_9461,c_9443,c_9489,c_9488,c_9755]) ).
tcf(c_10132,plain,
frontsegP(iPr_def_16,iPr_def_15),
inference(global_subsumption_just,[status(thm)],[c_9819,c_9461,c_9443,c_9489,c_9488,c_9819]) ).
tcf(c_10135,plain,
! [X0: $i] :
( frontsegP(skaf71(X0),skaf71(X0))
| ~ ssList(nil)
| ~ ssList(skaf71(X0)) ),
inference(superposition,[status(thm)],[c_9113,c_808]) ).
tcf(c_10136,plain,
! [X0: $i] :
( rearsegP(skaf71(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf71(X0)) ),
inference(superposition,[status(thm)],[c_9113,c_807]) ).
tcf(c_10137,plain,
! [X0: $i] : rearsegP(skaf71(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_10136,c_255,c_271]) ).
tcf(c_10138,plain,
! [X0: $i] : frontsegP(skaf71(X0),skaf71(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_10135,c_255,c_271]) ).
tcf(c_10147,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ( nil != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6473,c_345]) ).
tcf(c_10148,plain,
( ~ ssItem(sk6)
| ~ ssList(nil)
| ( nil != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6475,c_345]) ).
tcf(c_10149,plain,
nil != iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_10148,c_6484,c_255]) ).
tcf(c_10150,plain,
nil != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_10147,c_6485,c_255]) ).
tcf(c_10181,plain,
tl(cons(sk5,sk4)) = sk4,
inference(superposition,[status(thm)],[c_6486,c_9886]) ).
tcf(c_10182,plain,
tl(cons(sk5,sk7)) = sk7,
inference(superposition,[status(thm)],[c_6483,c_9886]) ).
tcf(c_10183,plain,
tl(cons(sk5,sk8)) = sk8,
inference(superposition,[status(thm)],[c_6482,c_9886]) ).
tcf(c_10184,plain,
tl(cons(sk5,nil)) = nil,
inference(superposition,[status(thm)],[c_255,c_9886]) ).
tcf(c_10185,plain,
! [X0: $i] : tl(cons(sk5,skaf82(X0))) = skaf82(X0),
inference(superposition,[status(thm)],[c_260,c_9886]) ).
tcf(c_10186,plain,
! [X0: $i] : tl(cons(sk5,skaf81(X0))) = skaf81(X0),
inference(superposition,[status(thm)],[c_261,c_9886]) ).
tcf(c_10187,plain,
! [X0: $i] : tl(cons(sk5,skaf80(X0))) = skaf80(X0),
inference(superposition,[status(thm)],[c_262,c_9886]) ).
tcf(c_10188,plain,
! [X0: $i] : tl(cons(sk5,skaf77(X0))) = skaf77(X0),
inference(superposition,[status(thm)],[c_265,c_9886]) ).
tcf(c_10189,plain,
! [X0: $i] : tl(cons(sk5,skaf76(X0))) = skaf76(X0),
inference(superposition,[status(thm)],[c_266,c_9886]) ).
tcf(c_10190,plain,
! [X0: $i] : tl(cons(sk5,skaf75(X0))) = skaf75(X0),
inference(superposition,[status(thm)],[c_267,c_9886]) ).
tcf(c_10191,plain,
! [X0: $i] : tl(cons(sk5,skaf73(X0))) = skaf73(X0),
inference(superposition,[status(thm)],[c_269,c_9886]) ).
tcf(c_10192,plain,
! [X0: $i] : tl(cons(sk5,skaf72(X0))) = skaf72(X0),
inference(superposition,[status(thm)],[c_270,c_9886]) ).
tcf(c_10193,plain,
! [X0: $i] : tl(cons(sk5,skaf71(X0))) = skaf71(X0),
inference(superposition,[status(thm)],[c_271,c_9886]) ).
tcf(c_10194,plain,
! [X0: $i] : tl(cons(sk5,skaf68(X0))) = skaf68(X0),
inference(superposition,[status(thm)],[c_274,c_9886]) ).
tcf(c_10195,plain,
! [X0: $i] : tl(cons(sk5,skaf67(X0))) = skaf67(X0),
inference(superposition,[status(thm)],[c_275,c_9886]) ).
tcf(c_10196,plain,
! [X0: $i] : tl(cons(sk5,skaf66(X0))) = skaf66(X0),
inference(superposition,[status(thm)],[c_276,c_9886]) ).
tcf(c_10197,plain,
! [X0: $i] : tl(cons(sk5,skaf63(X0))) = skaf63(X0),
inference(superposition,[status(thm)],[c_279,c_9886]) ).
tcf(c_10198,plain,
! [X0: $i] : tl(cons(sk5,skaf62(X0))) = skaf62(X0),
inference(superposition,[status(thm)],[c_280,c_9886]) ).
tcf(c_10199,plain,
! [X0: $i] : tl(cons(sk5,skaf61(X0))) = skaf61(X0),
inference(superposition,[status(thm)],[c_281,c_9886]) ).
tcf(c_10200,plain,
! [X0: $i] : tl(cons(sk5,skaf58(X0))) = skaf58(X0),
inference(superposition,[status(thm)],[c_284,c_9886]) ).
tcf(c_10201,plain,
! [X0: $i] : tl(cons(sk5,skaf57(X0))) = skaf57(X0),
inference(superposition,[status(thm)],[c_285,c_9886]) ).
tcf(c_10202,plain,
! [X0: $i] : tl(cons(sk5,skaf56(X0))) = skaf56(X0),
inference(superposition,[status(thm)],[c_286,c_9886]) ).
tcf(c_10203,plain,
! [X0: $i] : tl(cons(sk5,skaf53(X0))) = skaf53(X0),
inference(superposition,[status(thm)],[c_289,c_9886]) ).
tcf(c_10204,plain,
! [X0: $i] : tl(cons(sk5,skaf52(X0))) = skaf52(X0),
inference(superposition,[status(thm)],[c_290,c_9886]) ).
tcf(c_10205,plain,
! [X0: $i] : tl(cons(sk5,skaf51(X0))) = skaf51(X0),
inference(superposition,[status(thm)],[c_291,c_9886]) ).
tcf(c_10206,plain,
! [X0: $i,X1: $i] : tl(cons(sk5,skaf48(X0,X1))) = skaf48(X0,X1),
inference(superposition,[status(thm)],[c_295,c_9886]) ).
tcf(c_10207,plain,
! [X0: $i,X1: $i] : tl(cons(sk5,skaf47(X0,X1))) = skaf47(X0,X1),
inference(superposition,[status(thm)],[c_296,c_9886]) ).
tcf(c_10208,plain,
! [X0: $i,X1: $i] : tl(cons(sk5,skaf46(X0,X1))) = skaf46(X0,X1),
inference(superposition,[status(thm)],[c_297,c_9886]) ).
tcf(c_10209,plain,
! [X0: $i,X1: $i] : tl(cons(sk5,skaf45(X0,X1))) = skaf45(X0,X1),
inference(superposition,[status(thm)],[c_298,c_9886]) ).
tcf(c_10210,plain,
! [X0: $i,X1: $i] : tl(cons(sk5,skaf43(X0,X1))) = skaf43(X0,X1),
inference(superposition,[status(thm)],[c_299,c_9886]) ).
tcf(c_10211,plain,
! [X0: $i,X1: $i] : tl(cons(sk5,skaf42(X0,X1))) = skaf42(X0,X1),
inference(superposition,[status(thm)],[c_300,c_9886]) ).
tcf(c_10212,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sk5,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_9886]) ).
tcf(c_10213,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sk5,app(X1,X0))) = app(X1,X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_9886]) ).
tcf(c_10214,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sk5,cons(X1,X0))) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_9886]) ).
tcf(c_10215,plain,
tl(cons(sk5,iPr_def_16)) = iPr_def_16,
inference(superposition,[status(thm)],[c_9020,c_9886]) ).
tcf(c_10216,plain,
tl(cons(sk5,iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_9527,c_9886]) ).
tcf(c_10217,plain,
tl(cons(sk5,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_9489,c_9886]) ).
tcf(c_10218,plain,
tl(cons(sk5,iPr_def_14)) = iPr_def_14,
inference(superposition,[status(thm)],[c_9488,c_9886]) ).
tcf(c_10219,plain,
tl(iPr_def_12) = nil,
inference(light_normalisation,[status(thm)],[c_10184,c_6473]) ).
tcf(c_10308,plain,
tl(cons(sk6,sk4)) = sk4,
inference(superposition,[status(thm)],[c_6486,c_9887]) ).
tcf(c_10309,plain,
tl(cons(sk6,sk7)) = sk7,
inference(superposition,[status(thm)],[c_6483,c_9887]) ).
tcf(c_10310,plain,
tl(cons(sk6,sk8)) = sk8,
inference(superposition,[status(thm)],[c_6482,c_9887]) ).
tcf(c_10311,plain,
tl(cons(sk6,nil)) = nil,
inference(superposition,[status(thm)],[c_255,c_9887]) ).
tcf(c_10312,plain,
! [X0: $i] : tl(cons(sk6,skaf82(X0))) = skaf82(X0),
inference(superposition,[status(thm)],[c_260,c_9887]) ).
tcf(c_10313,plain,
! [X0: $i] : tl(cons(sk6,skaf81(X0))) = skaf81(X0),
inference(superposition,[status(thm)],[c_261,c_9887]) ).
tcf(c_10314,plain,
! [X0: $i] : tl(cons(sk6,skaf80(X0))) = skaf80(X0),
inference(superposition,[status(thm)],[c_262,c_9887]) ).
tcf(c_10315,plain,
! [X0: $i] : tl(cons(sk6,skaf77(X0))) = skaf77(X0),
inference(superposition,[status(thm)],[c_265,c_9887]) ).
tcf(c_10316,plain,
! [X0: $i] : tl(cons(sk6,skaf76(X0))) = skaf76(X0),
inference(superposition,[status(thm)],[c_266,c_9887]) ).
tcf(c_10317,plain,
! [X0: $i] : tl(cons(sk6,skaf75(X0))) = skaf75(X0),
inference(superposition,[status(thm)],[c_267,c_9887]) ).
tcf(c_10318,plain,
! [X0: $i] : tl(cons(sk6,skaf73(X0))) = skaf73(X0),
inference(superposition,[status(thm)],[c_269,c_9887]) ).
tcf(c_10319,plain,
! [X0: $i] : tl(cons(sk6,skaf72(X0))) = skaf72(X0),
inference(superposition,[status(thm)],[c_270,c_9887]) ).
tcf(c_10320,plain,
! [X0: $i] : tl(cons(sk6,skaf71(X0))) = skaf71(X0),
inference(superposition,[status(thm)],[c_271,c_9887]) ).
tcf(c_10321,plain,
! [X0: $i] : tl(cons(sk6,skaf68(X0))) = skaf68(X0),
inference(superposition,[status(thm)],[c_274,c_9887]) ).
tcf(c_10322,plain,
! [X0: $i] : tl(cons(sk6,skaf67(X0))) = skaf67(X0),
inference(superposition,[status(thm)],[c_275,c_9887]) ).
tcf(c_10323,plain,
! [X0: $i] : tl(cons(sk6,skaf66(X0))) = skaf66(X0),
inference(superposition,[status(thm)],[c_276,c_9887]) ).
tcf(c_10324,plain,
! [X0: $i] : tl(cons(sk6,skaf63(X0))) = skaf63(X0),
inference(superposition,[status(thm)],[c_279,c_9887]) ).
tcf(c_10325,plain,
! [X0: $i] : tl(cons(sk6,skaf62(X0))) = skaf62(X0),
inference(superposition,[status(thm)],[c_280,c_9887]) ).
tcf(c_10326,plain,
! [X0: $i] : tl(cons(sk6,skaf61(X0))) = skaf61(X0),
inference(superposition,[status(thm)],[c_281,c_9887]) ).
tcf(c_10327,plain,
! [X0: $i] : tl(cons(sk6,skaf58(X0))) = skaf58(X0),
inference(superposition,[status(thm)],[c_284,c_9887]) ).
tcf(c_10328,plain,
! [X0: $i] : tl(cons(sk6,skaf57(X0))) = skaf57(X0),
inference(superposition,[status(thm)],[c_285,c_9887]) ).
tcf(c_10329,plain,
! [X0: $i] : tl(cons(sk6,skaf56(X0))) = skaf56(X0),
inference(superposition,[status(thm)],[c_286,c_9887]) ).
tcf(c_10330,plain,
! [X0: $i] : tl(cons(sk6,skaf53(X0))) = skaf53(X0),
inference(superposition,[status(thm)],[c_289,c_9887]) ).
tcf(c_10331,plain,
! [X0: $i] : tl(cons(sk6,skaf52(X0))) = skaf52(X0),
inference(superposition,[status(thm)],[c_290,c_9887]) ).
tcf(c_10332,plain,
! [X0: $i] : tl(cons(sk6,skaf51(X0))) = skaf51(X0),
inference(superposition,[status(thm)],[c_291,c_9887]) ).
tcf(c_10333,plain,
! [X0: $i,X1: $i] : tl(cons(sk6,skaf48(X0,X1))) = skaf48(X0,X1),
inference(superposition,[status(thm)],[c_295,c_9887]) ).
tcf(c_10334,plain,
! [X0: $i,X1: $i] : tl(cons(sk6,skaf47(X0,X1))) = skaf47(X0,X1),
inference(superposition,[status(thm)],[c_296,c_9887]) ).
tcf(c_10335,plain,
! [X0: $i,X1: $i] : tl(cons(sk6,skaf46(X0,X1))) = skaf46(X0,X1),
inference(superposition,[status(thm)],[c_297,c_9887]) ).
tcf(c_10336,plain,
! [X0: $i,X1: $i] : tl(cons(sk6,skaf45(X0,X1))) = skaf45(X0,X1),
inference(superposition,[status(thm)],[c_298,c_9887]) ).
tcf(c_10337,plain,
! [X0: $i,X1: $i] : tl(cons(sk6,skaf43(X0,X1))) = skaf43(X0,X1),
inference(superposition,[status(thm)],[c_299,c_9887]) ).
tcf(c_10338,plain,
! [X0: $i,X1: $i] : tl(cons(sk6,skaf42(X0,X1))) = skaf42(X0,X1),
inference(superposition,[status(thm)],[c_300,c_9887]) ).
tcf(c_10339,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sk6,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_9887]) ).
tcf(c_10340,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sk6,app(X1,X0))) = app(X1,X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_9887]) ).
tcf(c_10341,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sk6,cons(X1,X0))) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_9887]) ).
tcf(c_10342,plain,
tl(cons(sk6,iPr_def_16)) = iPr_def_16,
inference(superposition,[status(thm)],[c_9020,c_9887]) ).
tcf(c_10343,plain,
tl(cons(sk6,iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_9527,c_9887]) ).
tcf(c_10344,plain,
tl(cons(sk6,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_9489,c_9887]) ).
tcf(c_10345,plain,
tl(cons(sk6,iPr_def_14)) = iPr_def_14,
inference(superposition,[status(thm)],[c_9488,c_9887]) ).
tcf(c_10346,plain,
tl(iPr_def_14) = nil,
inference(light_normalisation,[status(thm)],[c_10311,c_6475]) ).
tcf(c_10472,plain,
! [X0: $i] :
( frontsegP(skaf68(X0),skaf68(X0))
| ~ ssList(nil)
| ~ ssList(skaf68(X0)) ),
inference(superposition,[status(thm)],[c_9114,c_808]) ).
tcf(c_10473,plain,
! [X0: $i] :
( rearsegP(skaf68(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf68(X0)) ),
inference(superposition,[status(thm)],[c_9114,c_807]) ).
tcf(c_10474,plain,
! [X0: $i] : rearsegP(skaf68(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_10473,c_255,c_274]) ).
tcf(c_10475,plain,
! [X0: $i] : frontsegP(skaf68(X0),skaf68(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_10472,c_255,c_274]) ).
tcf(c_10512,plain,
! [X0: $i] :
( cyclefreeP(X0)
| geq(skaf49(X0),skaf50(X0))
| ~ ssList(X0)
| ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0)) ),
inference(superposition,[status(thm)],[c_334,c_355]) ).
tcf(c_10513,plain,
! [X0: $i] :
( cyclefreeP(X0)
| geq(skaf50(X0),skaf49(X0))
| ~ ssList(X0)
| ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0)) ),
inference(superposition,[status(thm)],[c_335,c_355]) ).
tcf(c_10514,plain,
! [X0: $i] :
( cyclefreeP(X0)
| geq(skaf50(X0),skaf49(X0))
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10513,c_293,c_292]) ).
tcf(c_10518,plain,
! [X0: $i] :
( cyclefreeP(X0)
| geq(skaf49(X0),skaf50(X0))
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10512,c_293,c_292]) ).
tcf(c_10528,plain,
tl(cons(sk9,sk4)) = sk4,
inference(superposition,[status(thm)],[c_6486,c_9888]) ).
tcf(c_10529,plain,
tl(cons(sk9,sk7)) = sk7,
inference(superposition,[status(thm)],[c_6483,c_9888]) ).
tcf(c_10530,plain,
tl(cons(sk9,sk8)) = sk8,
inference(superposition,[status(thm)],[c_6482,c_9888]) ).
tcf(c_10531,plain,
tl(cons(sk9,nil)) = nil,
inference(superposition,[status(thm)],[c_255,c_9888]) ).
tcf(c_10532,plain,
! [X0: $i] : tl(cons(sk9,skaf82(X0))) = skaf82(X0),
inference(superposition,[status(thm)],[c_260,c_9888]) ).
tcf(c_10533,plain,
! [X0: $i] : tl(cons(sk9,skaf81(X0))) = skaf81(X0),
inference(superposition,[status(thm)],[c_261,c_9888]) ).
tcf(c_10534,plain,
! [X0: $i] : tl(cons(sk9,skaf80(X0))) = skaf80(X0),
inference(superposition,[status(thm)],[c_262,c_9888]) ).
tcf(c_10535,plain,
! [X0: $i] : tl(cons(sk9,skaf77(X0))) = skaf77(X0),
inference(superposition,[status(thm)],[c_265,c_9888]) ).
tcf(c_10536,plain,
! [X0: $i] : tl(cons(sk9,skaf76(X0))) = skaf76(X0),
inference(superposition,[status(thm)],[c_266,c_9888]) ).
tcf(c_10537,plain,
! [X0: $i] : tl(cons(sk9,skaf75(X0))) = skaf75(X0),
inference(superposition,[status(thm)],[c_267,c_9888]) ).
tcf(c_10538,plain,
! [X0: $i] : tl(cons(sk9,skaf73(X0))) = skaf73(X0),
inference(superposition,[status(thm)],[c_269,c_9888]) ).
tcf(c_10539,plain,
! [X0: $i] : tl(cons(sk9,skaf72(X0))) = skaf72(X0),
inference(superposition,[status(thm)],[c_270,c_9888]) ).
tcf(c_10540,plain,
! [X0: $i] : tl(cons(sk9,skaf71(X0))) = skaf71(X0),
inference(superposition,[status(thm)],[c_271,c_9888]) ).
tcf(c_10541,plain,
! [X0: $i] : tl(cons(sk9,skaf68(X0))) = skaf68(X0),
inference(superposition,[status(thm)],[c_274,c_9888]) ).
tcf(c_10542,plain,
! [X0: $i] : tl(cons(sk9,skaf67(X0))) = skaf67(X0),
inference(superposition,[status(thm)],[c_275,c_9888]) ).
tcf(c_10543,plain,
! [X0: $i] : tl(cons(sk9,skaf66(X0))) = skaf66(X0),
inference(superposition,[status(thm)],[c_276,c_9888]) ).
tcf(c_10544,plain,
! [X0: $i] : tl(cons(sk9,skaf63(X0))) = skaf63(X0),
inference(superposition,[status(thm)],[c_279,c_9888]) ).
tcf(c_10545,plain,
! [X0: $i] : tl(cons(sk9,skaf62(X0))) = skaf62(X0),
inference(superposition,[status(thm)],[c_280,c_9888]) ).
tcf(c_10546,plain,
! [X0: $i] : tl(cons(sk9,skaf61(X0))) = skaf61(X0),
inference(superposition,[status(thm)],[c_281,c_9888]) ).
tcf(c_10547,plain,
! [X0: $i] : tl(cons(sk9,skaf58(X0))) = skaf58(X0),
inference(superposition,[status(thm)],[c_284,c_9888]) ).
tcf(c_10548,plain,
! [X0: $i] : tl(cons(sk9,skaf57(X0))) = skaf57(X0),
inference(superposition,[status(thm)],[c_285,c_9888]) ).
tcf(c_10549,plain,
! [X0: $i] : tl(cons(sk9,skaf56(X0))) = skaf56(X0),
inference(superposition,[status(thm)],[c_286,c_9888]) ).
tcf(c_10550,plain,
! [X0: $i] : tl(cons(sk9,skaf53(X0))) = skaf53(X0),
inference(superposition,[status(thm)],[c_289,c_9888]) ).
tcf(c_10551,plain,
! [X0: $i] : tl(cons(sk9,skaf52(X0))) = skaf52(X0),
inference(superposition,[status(thm)],[c_290,c_9888]) ).
tcf(c_10552,plain,
! [X0: $i] : tl(cons(sk9,skaf51(X0))) = skaf51(X0),
inference(superposition,[status(thm)],[c_291,c_9888]) ).
tcf(c_10553,plain,
! [X0: $i,X1: $i] : tl(cons(sk9,skaf48(X0,X1))) = skaf48(X0,X1),
inference(superposition,[status(thm)],[c_295,c_9888]) ).
tcf(c_10554,plain,
! [X0: $i,X1: $i] : tl(cons(sk9,skaf47(X0,X1))) = skaf47(X0,X1),
inference(superposition,[status(thm)],[c_296,c_9888]) ).
tcf(c_10555,plain,
! [X0: $i,X1: $i] : tl(cons(sk9,skaf46(X0,X1))) = skaf46(X0,X1),
inference(superposition,[status(thm)],[c_297,c_9888]) ).
tcf(c_10556,plain,
! [X0: $i,X1: $i] : tl(cons(sk9,skaf45(X0,X1))) = skaf45(X0,X1),
inference(superposition,[status(thm)],[c_298,c_9888]) ).
tcf(c_10557,plain,
! [X0: $i,X1: $i] : tl(cons(sk9,skaf43(X0,X1))) = skaf43(X0,X1),
inference(superposition,[status(thm)],[c_299,c_9888]) ).
tcf(c_10558,plain,
! [X0: $i,X1: $i] : tl(cons(sk9,skaf42(X0,X1))) = skaf42(X0,X1),
inference(superposition,[status(thm)],[c_300,c_9888]) ).
tcf(c_10559,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sk9,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_9888]) ).
tcf(c_10560,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sk9,app(X1,X0))) = app(X1,X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_9888]) ).
tcf(c_10561,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sk9,cons(X1,X0))) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_9888]) ).
tcf(c_10562,plain,
tl(cons(sk9,iPr_def_16)) = iPr_def_16,
inference(superposition,[status(thm)],[c_9020,c_9888]) ).
tcf(c_10563,plain,
tl(cons(sk9,iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_9527,c_9888]) ).
tcf(c_10564,plain,
tl(cons(sk9,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_9489,c_9888]) ).
tcf(c_10565,plain,
tl(cons(sk9,iPr_def_14)) = iPr_def_14,
inference(superposition,[status(thm)],[c_9488,c_9888]) ).
tcf(c_10649,plain,
hd(cons(sk5,sk4)) = sk5,
inference(superposition,[status(thm)],[c_6486,c_10016]) ).
tcf(c_10650,plain,
hd(cons(sk5,sk7)) = sk5,
inference(superposition,[status(thm)],[c_6483,c_10016]) ).
tcf(c_10651,plain,
hd(cons(sk5,sk8)) = sk5,
inference(superposition,[status(thm)],[c_6482,c_10016]) ).
tcf(c_10652,plain,
hd(cons(sk5,nil)) = sk5,
inference(superposition,[status(thm)],[c_255,c_10016]) ).
tcf(c_10653,plain,
! [X0: $i] : hd(cons(sk5,skaf82(X0))) = sk5,
inference(superposition,[status(thm)],[c_260,c_10016]) ).
tcf(c_10654,plain,
! [X0: $i] : hd(cons(sk5,skaf81(X0))) = sk5,
inference(superposition,[status(thm)],[c_261,c_10016]) ).
tcf(c_10655,plain,
! [X0: $i] : hd(cons(sk5,skaf80(X0))) = sk5,
inference(superposition,[status(thm)],[c_262,c_10016]) ).
tcf(c_10656,plain,
! [X0: $i] : hd(cons(sk5,skaf77(X0))) = sk5,
inference(superposition,[status(thm)],[c_265,c_10016]) ).
tcf(c_10657,plain,
! [X0: $i] : hd(cons(sk5,skaf76(X0))) = sk5,
inference(superposition,[status(thm)],[c_266,c_10016]) ).
tcf(c_10658,plain,
! [X0: $i] : hd(cons(sk5,skaf75(X0))) = sk5,
inference(superposition,[status(thm)],[c_267,c_10016]) ).
tcf(c_10659,plain,
! [X0: $i] : hd(cons(sk5,skaf73(X0))) = sk5,
inference(superposition,[status(thm)],[c_269,c_10016]) ).
tcf(c_10660,plain,
! [X0: $i] : hd(cons(sk5,skaf72(X0))) = sk5,
inference(superposition,[status(thm)],[c_270,c_10016]) ).
tcf(c_10661,plain,
! [X0: $i] : hd(cons(sk5,skaf71(X0))) = sk5,
inference(superposition,[status(thm)],[c_271,c_10016]) ).
tcf(c_10662,plain,
! [X0: $i] : hd(cons(sk5,skaf68(X0))) = sk5,
inference(superposition,[status(thm)],[c_274,c_10016]) ).
tcf(c_10663,plain,
! [X0: $i] : hd(cons(sk5,skaf67(X0))) = sk5,
inference(superposition,[status(thm)],[c_275,c_10016]) ).
tcf(c_10664,plain,
! [X0: $i] : hd(cons(sk5,skaf66(X0))) = sk5,
inference(superposition,[status(thm)],[c_276,c_10016]) ).
tcf(c_10665,plain,
! [X0: $i] : hd(cons(sk5,skaf63(X0))) = sk5,
inference(superposition,[status(thm)],[c_279,c_10016]) ).
tcf(c_10666,plain,
! [X0: $i] : hd(cons(sk5,skaf62(X0))) = sk5,
inference(superposition,[status(thm)],[c_280,c_10016]) ).
tcf(c_10667,plain,
! [X0: $i] : hd(cons(sk5,skaf61(X0))) = sk5,
inference(superposition,[status(thm)],[c_281,c_10016]) ).
tcf(c_10668,plain,
! [X0: $i] : hd(cons(sk5,skaf58(X0))) = sk5,
inference(superposition,[status(thm)],[c_284,c_10016]) ).
tcf(c_10669,plain,
! [X0: $i] : hd(cons(sk5,skaf57(X0))) = sk5,
inference(superposition,[status(thm)],[c_285,c_10016]) ).
tcf(c_10670,plain,
! [X0: $i] : hd(cons(sk5,skaf56(X0))) = sk5,
inference(superposition,[status(thm)],[c_286,c_10016]) ).
tcf(c_10671,plain,
! [X0: $i] : hd(cons(sk5,skaf53(X0))) = sk5,
inference(superposition,[status(thm)],[c_289,c_10016]) ).
tcf(c_10672,plain,
! [X0: $i] : hd(cons(sk5,skaf52(X0))) = sk5,
inference(superposition,[status(thm)],[c_290,c_10016]) ).
tcf(c_10673,plain,
! [X0: $i] : hd(cons(sk5,skaf51(X0))) = sk5,
inference(superposition,[status(thm)],[c_291,c_10016]) ).
tcf(c_10674,plain,
! [X0: $i,X1: $i] : hd(cons(sk5,skaf48(X0,X1))) = sk5,
inference(superposition,[status(thm)],[c_295,c_10016]) ).
tcf(c_10675,plain,
! [X0: $i,X1: $i] : hd(cons(sk5,skaf47(X0,X1))) = sk5,
inference(superposition,[status(thm)],[c_296,c_10016]) ).
tcf(c_10676,plain,
! [X0: $i,X1: $i] : hd(cons(sk5,skaf46(X0,X1))) = sk5,
inference(superposition,[status(thm)],[c_297,c_10016]) ).
tcf(c_10677,plain,
! [X0: $i,X1: $i] : hd(cons(sk5,skaf45(X0,X1))) = sk5,
inference(superposition,[status(thm)],[c_298,c_10016]) ).
tcf(c_10678,plain,
! [X0: $i,X1: $i] : hd(cons(sk5,skaf43(X0,X1))) = sk5,
inference(superposition,[status(thm)],[c_299,c_10016]) ).
tcf(c_10679,plain,
! [X0: $i,X1: $i] : hd(cons(sk5,skaf42(X0,X1))) = sk5,
inference(superposition,[status(thm)],[c_300,c_10016]) ).
tcf(c_10680,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sk5,tl(X0))) = sk5 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_10016]) ).
tcf(c_10681,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sk5,app(X1,X0))) = sk5 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_10016]) ).
tcf(c_10682,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sk5,cons(X1,X0))) = sk5 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_10016]) ).
tcf(c_10683,plain,
hd(cons(sk5,iPr_def_16)) = sk5,
inference(superposition,[status(thm)],[c_9020,c_10016]) ).
tcf(c_10684,plain,
hd(cons(sk5,iPr_def_13)) = sk5,
inference(superposition,[status(thm)],[c_9527,c_10016]) ).
tcf(c_10685,plain,
hd(cons(sk5,iPr_def_12)) = sk5,
inference(superposition,[status(thm)],[c_9489,c_10016]) ).
tcf(c_10686,plain,
hd(cons(sk5,iPr_def_14)) = sk5,
inference(superposition,[status(thm)],[c_9488,c_10016]) ).
tcf(c_10687,plain,
hd(iPr_def_12) = sk5,
inference(light_normalisation,[status(thm)],[c_10652,c_6473]) ).
tcf(c_10738,plain,
! [X0: $i] :
( frontsegP(skaf67(X0),skaf67(X0))
| ~ ssList(nil)
| ~ ssList(skaf67(X0)) ),
inference(superposition,[status(thm)],[c_9115,c_808]) ).
tcf(c_10739,plain,
! [X0: $i] :
( rearsegP(skaf67(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf67(X0)) ),
inference(superposition,[status(thm)],[c_9115,c_807]) ).
tcf(c_10740,plain,
! [X0: $i] : rearsegP(skaf67(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_10739,c_255,c_275]) ).
tcf(c_10741,plain,
! [X0: $i] : frontsegP(skaf67(X0),skaf67(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_10738,c_255,c_275]) ).
tcf(c_10766,plain,
( ( sk4 = nil )
| ( cons(hd(sk4),tl(sk4)) = sk4 ) ),
inference(superposition,[status(thm)],[c_6486,c_351]) ).
tcf(c_10767,plain,
( ( sk7 = nil )
| ( cons(hd(sk7),tl(sk7)) = sk7 ) ),
inference(superposition,[status(thm)],[c_6483,c_351]) ).
tcf(c_10768,plain,
( ( sk8 = nil )
| ( cons(hd(sk8),tl(sk8)) = sk8 ) ),
inference(superposition,[status(thm)],[c_6482,c_351]) ).
tcf(c_10770,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( cons(hd(skaf82(X0)),tl(skaf82(X0))) = skaf82(X0) ) ),
inference(superposition,[status(thm)],[c_260,c_351]) ).
tcf(c_10771,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( cons(hd(skaf81(X0)),tl(skaf81(X0))) = skaf81(X0) ) ),
inference(superposition,[status(thm)],[c_261,c_351]) ).
tcf(c_10772,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( cons(hd(skaf80(X0)),tl(skaf80(X0))) = skaf80(X0) ) ),
inference(superposition,[status(thm)],[c_262,c_351]) ).
tcf(c_10773,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( cons(hd(skaf77(X0)),tl(skaf77(X0))) = skaf77(X0) ) ),
inference(superposition,[status(thm)],[c_265,c_351]) ).
tcf(c_10774,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( cons(hd(skaf76(X0)),tl(skaf76(X0))) = skaf76(X0) ) ),
inference(superposition,[status(thm)],[c_266,c_351]) ).
tcf(c_10775,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( cons(hd(skaf75(X0)),tl(skaf75(X0))) = skaf75(X0) ) ),
inference(superposition,[status(thm)],[c_267,c_351]) ).
tcf(c_10776,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( cons(hd(skaf73(X0)),tl(skaf73(X0))) = skaf73(X0) ) ),
inference(superposition,[status(thm)],[c_269,c_351]) ).
tcf(c_10777,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( cons(hd(skaf72(X0)),tl(skaf72(X0))) = skaf72(X0) ) ),
inference(superposition,[status(thm)],[c_270,c_351]) ).
tcf(c_10778,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( cons(hd(skaf71(X0)),tl(skaf71(X0))) = skaf71(X0) ) ),
inference(superposition,[status(thm)],[c_271,c_351]) ).
tcf(c_10779,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( cons(hd(skaf68(X0)),tl(skaf68(X0))) = skaf68(X0) ) ),
inference(superposition,[status(thm)],[c_274,c_351]) ).
tcf(c_10780,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( cons(hd(skaf67(X0)),tl(skaf67(X0))) = skaf67(X0) ) ),
inference(superposition,[status(thm)],[c_275,c_351]) ).
tcf(c_10781,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( cons(hd(skaf66(X0)),tl(skaf66(X0))) = skaf66(X0) ) ),
inference(superposition,[status(thm)],[c_276,c_351]) ).
tcf(c_10782,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( cons(hd(skaf63(X0)),tl(skaf63(X0))) = skaf63(X0) ) ),
inference(superposition,[status(thm)],[c_279,c_351]) ).
tcf(c_10783,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( cons(hd(skaf62(X0)),tl(skaf62(X0))) = skaf62(X0) ) ),
inference(superposition,[status(thm)],[c_280,c_351]) ).
tcf(c_10784,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( cons(hd(skaf61(X0)),tl(skaf61(X0))) = skaf61(X0) ) ),
inference(superposition,[status(thm)],[c_281,c_351]) ).
tcf(c_10785,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( cons(hd(skaf58(X0)),tl(skaf58(X0))) = skaf58(X0) ) ),
inference(superposition,[status(thm)],[c_284,c_351]) ).
tcf(c_10786,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( cons(hd(skaf57(X0)),tl(skaf57(X0))) = skaf57(X0) ) ),
inference(superposition,[status(thm)],[c_285,c_351]) ).
tcf(c_10787,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( cons(hd(skaf56(X0)),tl(skaf56(X0))) = skaf56(X0) ) ),
inference(superposition,[status(thm)],[c_286,c_351]) ).
tcf(c_10788,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( cons(hd(skaf53(X0)),tl(skaf53(X0))) = skaf53(X0) ) ),
inference(superposition,[status(thm)],[c_289,c_351]) ).
tcf(c_10789,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( cons(hd(skaf52(X0)),tl(skaf52(X0))) = skaf52(X0) ) ),
inference(superposition,[status(thm)],[c_290,c_351]) ).
tcf(c_10790,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( cons(hd(skaf51(X0)),tl(skaf51(X0))) = skaf51(X0) ) ),
inference(superposition,[status(thm)],[c_291,c_351]) ).
tcf(c_10791,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( cons(hd(skaf48(X0,X1)),tl(skaf48(X0,X1))) = skaf48(X0,X1) ) ),
inference(superposition,[status(thm)],[c_295,c_351]) ).
tcf(c_10792,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( cons(hd(skaf47(X0,X1)),tl(skaf47(X0,X1))) = skaf47(X0,X1) ) ),
inference(superposition,[status(thm)],[c_296,c_351]) ).
tcf(c_10793,plain,
! [X0: $i,X1: $i] :
( ( skaf46(X0,X1) = nil )
| ( cons(hd(skaf46(X0,X1)),tl(skaf46(X0,X1))) = skaf46(X0,X1) ) ),
inference(superposition,[status(thm)],[c_297,c_351]) ).
tcf(c_10794,plain,
! [X0: $i,X1: $i] :
( ( skaf45(X0,X1) = nil )
| ( cons(hd(skaf45(X0,X1)),tl(skaf45(X0,X1))) = skaf45(X0,X1) ) ),
inference(superposition,[status(thm)],[c_298,c_351]) ).
tcf(c_10795,plain,
! [X0: $i,X1: $i] :
( ( skaf43(X0,X1) = nil )
| ( cons(hd(skaf43(X0,X1)),tl(skaf43(X0,X1))) = skaf43(X0,X1) ) ),
inference(superposition,[status(thm)],[c_299,c_351]) ).
tcf(c_10796,plain,
! [X0: $i,X1: $i] :
( ( skaf42(X0,X1) = nil )
| ( cons(hd(skaf42(X0,X1)),tl(skaf42(X0,X1))) = skaf42(X0,X1) ) ),
inference(superposition,[status(thm)],[c_300,c_351]) ).
tcf(c_10797,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(X0) = nil )
| ( cons(hd(tl(X0)),tl(tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_351]) ).
tcf(c_10798,plain,
! [X0: $i,X1: $i] :
( ( app(X1,X0) = nil )
| ( cons(hd(app(X1,X0)),tl(app(X1,X0))) = app(X1,X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_351]) ).
tcf(c_10799,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,X0) = nil )
| ( cons(hd(cons(X1,X0)),tl(cons(X1,X0))) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_351]) ).
tcf(c_10800,plain,
( ( nil = iPr_def_16 )
| ( cons(hd(iPr_def_16),tl(iPr_def_16)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9020,c_351]) ).
tcf(c_10801,plain,
( ( nil = iPr_def_13 )
| ( cons(hd(iPr_def_13),tl(iPr_def_13)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9527,c_351]) ).
tcf(c_10802,plain,
( ( nil = iPr_def_12 )
| ( cons(hd(iPr_def_12),tl(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9489,c_351]) ).
tcf(c_10803,plain,
( ( nil = iPr_def_14 )
| ( cons(hd(iPr_def_14),tl(iPr_def_14)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9488,c_351]) ).
tcf(c_10804,plain,
( ( nil = iPr_def_14 )
| ( cons(hd(iPr_def_14),nil) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_10803,c_10346]) ).
tcf(c_10805,plain,
cons(hd(iPr_def_14),nil) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_10804,c_10149]) ).
tcf(c_10982,plain,
( ( sk4 = nil )
| ( cons(skaf83(sk4),skaf82(sk4)) = sk4 ) ),
inference(superposition,[status(thm)],[c_6486,c_356]) ).
tcf(c_10983,plain,
( ( sk7 = nil )
| ( cons(skaf83(sk7),skaf82(sk7)) = sk7 ) ),
inference(superposition,[status(thm)],[c_6483,c_356]) ).
tcf(c_10984,plain,
( ( sk8 = nil )
| ( cons(skaf83(sk8),skaf82(sk8)) = sk8 ) ),
inference(superposition,[status(thm)],[c_6482,c_356]) ).
tcf(c_10986,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( cons(skaf83(skaf82(X0)),skaf82(skaf82(X0))) = skaf82(X0) ) ),
inference(superposition,[status(thm)],[c_260,c_356]) ).
tcf(c_10987,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( cons(skaf83(skaf81(X0)),skaf82(skaf81(X0))) = skaf81(X0) ) ),
inference(superposition,[status(thm)],[c_261,c_356]) ).
tcf(c_10988,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( cons(skaf83(skaf80(X0)),skaf82(skaf80(X0))) = skaf80(X0) ) ),
inference(superposition,[status(thm)],[c_262,c_356]) ).
tcf(c_10989,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( cons(skaf83(skaf77(X0)),skaf82(skaf77(X0))) = skaf77(X0) ) ),
inference(superposition,[status(thm)],[c_265,c_356]) ).
tcf(c_10990,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( cons(skaf83(skaf76(X0)),skaf82(skaf76(X0))) = skaf76(X0) ) ),
inference(superposition,[status(thm)],[c_266,c_356]) ).
tcf(c_10991,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( cons(skaf83(skaf75(X0)),skaf82(skaf75(X0))) = skaf75(X0) ) ),
inference(superposition,[status(thm)],[c_267,c_356]) ).
tcf(c_10992,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( cons(skaf83(skaf73(X0)),skaf82(skaf73(X0))) = skaf73(X0) ) ),
inference(superposition,[status(thm)],[c_269,c_356]) ).
tcf(c_10993,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( cons(skaf83(skaf72(X0)),skaf82(skaf72(X0))) = skaf72(X0) ) ),
inference(superposition,[status(thm)],[c_270,c_356]) ).
tcf(c_10994,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( cons(skaf83(skaf71(X0)),skaf82(skaf71(X0))) = skaf71(X0) ) ),
inference(superposition,[status(thm)],[c_271,c_356]) ).
tcf(c_10995,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( cons(skaf83(skaf68(X0)),skaf82(skaf68(X0))) = skaf68(X0) ) ),
inference(superposition,[status(thm)],[c_274,c_356]) ).
tcf(c_10996,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( cons(skaf83(skaf67(X0)),skaf82(skaf67(X0))) = skaf67(X0) ) ),
inference(superposition,[status(thm)],[c_275,c_356]) ).
tcf(c_10997,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( cons(skaf83(skaf66(X0)),skaf82(skaf66(X0))) = skaf66(X0) ) ),
inference(superposition,[status(thm)],[c_276,c_356]) ).
tcf(c_10998,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( cons(skaf83(skaf63(X0)),skaf82(skaf63(X0))) = skaf63(X0) ) ),
inference(superposition,[status(thm)],[c_279,c_356]) ).
tcf(c_10999,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( cons(skaf83(skaf62(X0)),skaf82(skaf62(X0))) = skaf62(X0) ) ),
inference(superposition,[status(thm)],[c_280,c_356]) ).
tcf(c_11000,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( cons(skaf83(skaf61(X0)),skaf82(skaf61(X0))) = skaf61(X0) ) ),
inference(superposition,[status(thm)],[c_281,c_356]) ).
tcf(c_11001,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( cons(skaf83(skaf58(X0)),skaf82(skaf58(X0))) = skaf58(X0) ) ),
inference(superposition,[status(thm)],[c_284,c_356]) ).
tcf(c_11002,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( cons(skaf83(skaf57(X0)),skaf82(skaf57(X0))) = skaf57(X0) ) ),
inference(superposition,[status(thm)],[c_285,c_356]) ).
tcf(c_11003,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( cons(skaf83(skaf56(X0)),skaf82(skaf56(X0))) = skaf56(X0) ) ),
inference(superposition,[status(thm)],[c_286,c_356]) ).
tcf(c_11004,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( cons(skaf83(skaf53(X0)),skaf82(skaf53(X0))) = skaf53(X0) ) ),
inference(superposition,[status(thm)],[c_289,c_356]) ).
tcf(c_11005,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( cons(skaf83(skaf52(X0)),skaf82(skaf52(X0))) = skaf52(X0) ) ),
inference(superposition,[status(thm)],[c_290,c_356]) ).
tcf(c_11006,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( cons(skaf83(skaf51(X0)),skaf82(skaf51(X0))) = skaf51(X0) ) ),
inference(superposition,[status(thm)],[c_291,c_356]) ).
tcf(c_11007,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( cons(skaf83(skaf48(X0,X1)),skaf82(skaf48(X0,X1))) = skaf48(X0,X1) ) ),
inference(superposition,[status(thm)],[c_295,c_356]) ).
tcf(c_11008,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( cons(skaf83(skaf47(X0,X1)),skaf82(skaf47(X0,X1))) = skaf47(X0,X1) ) ),
inference(superposition,[status(thm)],[c_296,c_356]) ).
tcf(c_11009,plain,
! [X0: $i,X1: $i] :
( ( skaf46(X0,X1) = nil )
| ( cons(skaf83(skaf46(X0,X1)),skaf82(skaf46(X0,X1))) = skaf46(X0,X1) ) ),
inference(superposition,[status(thm)],[c_297,c_356]) ).
tcf(c_11010,plain,
! [X0: $i,X1: $i] :
( ( skaf45(X0,X1) = nil )
| ( cons(skaf83(skaf45(X0,X1)),skaf82(skaf45(X0,X1))) = skaf45(X0,X1) ) ),
inference(superposition,[status(thm)],[c_298,c_356]) ).
tcf(c_11011,plain,
! [X0: $i,X1: $i] :
( ( skaf43(X0,X1) = nil )
| ( cons(skaf83(skaf43(X0,X1)),skaf82(skaf43(X0,X1))) = skaf43(X0,X1) ) ),
inference(superposition,[status(thm)],[c_299,c_356]) ).
tcf(c_11012,plain,
! [X0: $i,X1: $i] :
( ( skaf42(X0,X1) = nil )
| ( cons(skaf83(skaf42(X0,X1)),skaf82(skaf42(X0,X1))) = skaf42(X0,X1) ) ),
inference(superposition,[status(thm)],[c_300,c_356]) ).
tcf(c_11013,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(X0) = nil )
| ( cons(skaf83(tl(X0)),skaf82(tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_356]) ).
tcf(c_11014,plain,
! [X0: $i,X1: $i] :
( ( app(X1,X0) = nil )
| ( cons(skaf83(app(X1,X0)),skaf82(app(X1,X0))) = app(X1,X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_356]) ).
tcf(c_11015,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,X0) = nil )
| ( cons(skaf83(cons(X1,X0)),skaf82(cons(X1,X0))) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_356]) ).
tcf(c_11016,plain,
( ( nil = iPr_def_16 )
| ( cons(skaf83(iPr_def_16),skaf82(iPr_def_16)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9020,c_356]) ).
tcf(c_11017,plain,
( ( nil = iPr_def_13 )
| ( cons(skaf83(iPr_def_13),skaf82(iPr_def_13)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9527,c_356]) ).
tcf(c_11018,plain,
( ( nil = iPr_def_12 )
| ( cons(skaf83(iPr_def_12),skaf82(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9489,c_356]) ).
tcf(c_11019,plain,
( ( nil = iPr_def_14 )
| ( cons(skaf83(iPr_def_14),skaf82(iPr_def_14)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9488,c_356]) ).
tcf(c_11020,plain,
cons(skaf83(iPr_def_14),skaf82(iPr_def_14)) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_11019,c_10149]) ).
tcf(c_11021,plain,
cons(skaf83(iPr_def_12),skaf82(iPr_def_12)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_11018,c_10150]) ).
tcf(c_11179,plain,
! [X0: $i] :
( ssList(cons(sk9,X0))
| ~ ssItem(sk9)
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_333]) ).
tcf(c_11180,plain,
( ssList(cons(sk9,nil))
| ~ ssItem(sk9)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_11179]) ).
tcf(c_11221,plain,
hd(cons(sk6,sk4)) = sk6,
inference(superposition,[status(thm)],[c_6486,c_10017]) ).
tcf(c_11222,plain,
hd(cons(sk6,sk7)) = sk6,
inference(superposition,[status(thm)],[c_6483,c_10017]) ).
tcf(c_11223,plain,
hd(cons(sk6,sk8)) = sk6,
inference(superposition,[status(thm)],[c_6482,c_10017]) ).
tcf(c_11224,plain,
hd(cons(sk6,nil)) = sk6,
inference(superposition,[status(thm)],[c_255,c_10017]) ).
tcf(c_11225,plain,
! [X0: $i] : hd(cons(sk6,skaf82(X0))) = sk6,
inference(superposition,[status(thm)],[c_260,c_10017]) ).
tcf(c_11226,plain,
! [X0: $i] : hd(cons(sk6,skaf81(X0))) = sk6,
inference(superposition,[status(thm)],[c_261,c_10017]) ).
tcf(c_11227,plain,
! [X0: $i] : hd(cons(sk6,skaf80(X0))) = sk6,
inference(superposition,[status(thm)],[c_262,c_10017]) ).
tcf(c_11228,plain,
! [X0: $i] : hd(cons(sk6,skaf77(X0))) = sk6,
inference(superposition,[status(thm)],[c_265,c_10017]) ).
tcf(c_11229,plain,
! [X0: $i] : hd(cons(sk6,skaf76(X0))) = sk6,
inference(superposition,[status(thm)],[c_266,c_10017]) ).
tcf(c_11230,plain,
! [X0: $i] : hd(cons(sk6,skaf75(X0))) = sk6,
inference(superposition,[status(thm)],[c_267,c_10017]) ).
tcf(c_11231,plain,
! [X0: $i] : hd(cons(sk6,skaf73(X0))) = sk6,
inference(superposition,[status(thm)],[c_269,c_10017]) ).
tcf(c_11232,plain,
! [X0: $i] : hd(cons(sk6,skaf72(X0))) = sk6,
inference(superposition,[status(thm)],[c_270,c_10017]) ).
tcf(c_11233,plain,
! [X0: $i] : hd(cons(sk6,skaf71(X0))) = sk6,
inference(superposition,[status(thm)],[c_271,c_10017]) ).
tcf(c_11234,plain,
! [X0: $i] : hd(cons(sk6,skaf68(X0))) = sk6,
inference(superposition,[status(thm)],[c_274,c_10017]) ).
tcf(c_11235,plain,
! [X0: $i] : hd(cons(sk6,skaf67(X0))) = sk6,
inference(superposition,[status(thm)],[c_275,c_10017]) ).
tcf(c_11236,plain,
! [X0: $i] : hd(cons(sk6,skaf66(X0))) = sk6,
inference(superposition,[status(thm)],[c_276,c_10017]) ).
tcf(c_11237,plain,
! [X0: $i] : hd(cons(sk6,skaf63(X0))) = sk6,
inference(superposition,[status(thm)],[c_279,c_10017]) ).
tcf(c_11238,plain,
! [X0: $i] : hd(cons(sk6,skaf62(X0))) = sk6,
inference(superposition,[status(thm)],[c_280,c_10017]) ).
tcf(c_11239,plain,
! [X0: $i] : hd(cons(sk6,skaf61(X0))) = sk6,
inference(superposition,[status(thm)],[c_281,c_10017]) ).
tcf(c_11240,plain,
! [X0: $i] : hd(cons(sk6,skaf58(X0))) = sk6,
inference(superposition,[status(thm)],[c_284,c_10017]) ).
tcf(c_11241,plain,
! [X0: $i] : hd(cons(sk6,skaf57(X0))) = sk6,
inference(superposition,[status(thm)],[c_285,c_10017]) ).
tcf(c_11242,plain,
! [X0: $i] : hd(cons(sk6,skaf56(X0))) = sk6,
inference(superposition,[status(thm)],[c_286,c_10017]) ).
tcf(c_11243,plain,
! [X0: $i] : hd(cons(sk6,skaf53(X0))) = sk6,
inference(superposition,[status(thm)],[c_289,c_10017]) ).
tcf(c_11244,plain,
! [X0: $i] : hd(cons(sk6,skaf52(X0))) = sk6,
inference(superposition,[status(thm)],[c_290,c_10017]) ).
tcf(c_11245,plain,
! [X0: $i] : hd(cons(sk6,skaf51(X0))) = sk6,
inference(superposition,[status(thm)],[c_291,c_10017]) ).
tcf(c_11246,plain,
! [X0: $i,X1: $i] : hd(cons(sk6,skaf48(X0,X1))) = sk6,
inference(superposition,[status(thm)],[c_295,c_10017]) ).
tcf(c_11247,plain,
! [X0: $i,X1: $i] : hd(cons(sk6,skaf47(X0,X1))) = sk6,
inference(superposition,[status(thm)],[c_296,c_10017]) ).
tcf(c_11248,plain,
! [X0: $i,X1: $i] : hd(cons(sk6,skaf46(X0,X1))) = sk6,
inference(superposition,[status(thm)],[c_297,c_10017]) ).
tcf(c_11249,plain,
! [X0: $i,X1: $i] : hd(cons(sk6,skaf45(X0,X1))) = sk6,
inference(superposition,[status(thm)],[c_298,c_10017]) ).
tcf(c_11250,plain,
! [X0: $i,X1: $i] : hd(cons(sk6,skaf43(X0,X1))) = sk6,
inference(superposition,[status(thm)],[c_299,c_10017]) ).
tcf(c_11251,plain,
! [X0: $i,X1: $i] : hd(cons(sk6,skaf42(X0,X1))) = sk6,
inference(superposition,[status(thm)],[c_300,c_10017]) ).
tcf(c_11252,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sk6,tl(X0))) = sk6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_10017]) ).
tcf(c_11253,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sk6,app(X1,X0))) = sk6 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_10017]) ).
tcf(c_11254,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sk6,cons(X1,X0))) = sk6 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_10017]) ).
tcf(c_11255,plain,
hd(cons(sk6,iPr_def_16)) = sk6,
inference(superposition,[status(thm)],[c_9020,c_10017]) ).
tcf(c_11256,plain,
hd(cons(sk6,iPr_def_13)) = sk6,
inference(superposition,[status(thm)],[c_9527,c_10017]) ).
tcf(c_11257,plain,
hd(cons(sk6,iPr_def_12)) = sk6,
inference(superposition,[status(thm)],[c_9489,c_10017]) ).
tcf(c_11258,plain,
hd(cons(sk6,iPr_def_14)) = sk6,
inference(superposition,[status(thm)],[c_9488,c_10017]) ).
tcf(c_11259,plain,
hd(iPr_def_14) = sk6,
inference(light_normalisation,[status(thm)],[c_11224,c_6475]) ).
tcf(c_11345,plain,
hd(cons(sk9,sk4)) = sk9,
inference(superposition,[status(thm)],[c_6486,c_10018]) ).
tcf(c_11346,plain,
hd(cons(sk9,sk7)) = sk9,
inference(superposition,[status(thm)],[c_6483,c_10018]) ).
tcf(c_11347,plain,
hd(cons(sk9,sk8)) = sk9,
inference(superposition,[status(thm)],[c_6482,c_10018]) ).
tcf(c_11348,plain,
hd(cons(sk9,nil)) = sk9,
inference(superposition,[status(thm)],[c_255,c_10018]) ).
tcf(c_11349,plain,
! [X0: $i] : hd(cons(sk9,skaf82(X0))) = sk9,
inference(superposition,[status(thm)],[c_260,c_10018]) ).
tcf(c_11350,plain,
! [X0: $i] : hd(cons(sk9,skaf81(X0))) = sk9,
inference(superposition,[status(thm)],[c_261,c_10018]) ).
tcf(c_11351,plain,
! [X0: $i] : hd(cons(sk9,skaf80(X0))) = sk9,
inference(superposition,[status(thm)],[c_262,c_10018]) ).
tcf(c_11352,plain,
! [X0: $i] : hd(cons(sk9,skaf77(X0))) = sk9,
inference(superposition,[status(thm)],[c_265,c_10018]) ).
tcf(c_11353,plain,
! [X0: $i] : hd(cons(sk9,skaf76(X0))) = sk9,
inference(superposition,[status(thm)],[c_266,c_10018]) ).
tcf(c_11354,plain,
! [X0: $i] : hd(cons(sk9,skaf75(X0))) = sk9,
inference(superposition,[status(thm)],[c_267,c_10018]) ).
tcf(c_11355,plain,
! [X0: $i] : hd(cons(sk9,skaf73(X0))) = sk9,
inference(superposition,[status(thm)],[c_269,c_10018]) ).
tcf(c_11356,plain,
! [X0: $i] : hd(cons(sk9,skaf72(X0))) = sk9,
inference(superposition,[status(thm)],[c_270,c_10018]) ).
tcf(c_11357,plain,
! [X0: $i] : hd(cons(sk9,skaf71(X0))) = sk9,
inference(superposition,[status(thm)],[c_271,c_10018]) ).
tcf(c_11358,plain,
! [X0: $i] : hd(cons(sk9,skaf68(X0))) = sk9,
inference(superposition,[status(thm)],[c_274,c_10018]) ).
tcf(c_11359,plain,
! [X0: $i] : hd(cons(sk9,skaf67(X0))) = sk9,
inference(superposition,[status(thm)],[c_275,c_10018]) ).
tcf(c_11360,plain,
! [X0: $i] : hd(cons(sk9,skaf66(X0))) = sk9,
inference(superposition,[status(thm)],[c_276,c_10018]) ).
tcf(c_11361,plain,
! [X0: $i] : hd(cons(sk9,skaf63(X0))) = sk9,
inference(superposition,[status(thm)],[c_279,c_10018]) ).
tcf(c_11362,plain,
! [X0: $i] : hd(cons(sk9,skaf62(X0))) = sk9,
inference(superposition,[status(thm)],[c_280,c_10018]) ).
tcf(c_11363,plain,
! [X0: $i] : hd(cons(sk9,skaf61(X0))) = sk9,
inference(superposition,[status(thm)],[c_281,c_10018]) ).
tcf(c_11364,plain,
! [X0: $i] : hd(cons(sk9,skaf58(X0))) = sk9,
inference(superposition,[status(thm)],[c_284,c_10018]) ).
tcf(c_11365,plain,
! [X0: $i] : hd(cons(sk9,skaf57(X0))) = sk9,
inference(superposition,[status(thm)],[c_285,c_10018]) ).
tcf(c_11366,plain,
! [X0: $i] : hd(cons(sk9,skaf56(X0))) = sk9,
inference(superposition,[status(thm)],[c_286,c_10018]) ).
tcf(c_11367,plain,
! [X0: $i] : hd(cons(sk9,skaf53(X0))) = sk9,
inference(superposition,[status(thm)],[c_289,c_10018]) ).
tcf(c_11368,plain,
! [X0: $i] : hd(cons(sk9,skaf52(X0))) = sk9,
inference(superposition,[status(thm)],[c_290,c_10018]) ).
tcf(c_11369,plain,
! [X0: $i] : hd(cons(sk9,skaf51(X0))) = sk9,
inference(superposition,[status(thm)],[c_291,c_10018]) ).
tcf(c_11370,plain,
! [X0: $i,X1: $i] : hd(cons(sk9,skaf48(X0,X1))) = sk9,
inference(superposition,[status(thm)],[c_295,c_10018]) ).
tcf(c_11371,plain,
! [X0: $i,X1: $i] : hd(cons(sk9,skaf47(X0,X1))) = sk9,
inference(superposition,[status(thm)],[c_296,c_10018]) ).
tcf(c_11372,plain,
! [X0: $i,X1: $i] : hd(cons(sk9,skaf46(X0,X1))) = sk9,
inference(superposition,[status(thm)],[c_297,c_10018]) ).
tcf(c_11373,plain,
! [X0: $i,X1: $i] : hd(cons(sk9,skaf45(X0,X1))) = sk9,
inference(superposition,[status(thm)],[c_298,c_10018]) ).
tcf(c_11374,plain,
! [X0: $i,X1: $i] : hd(cons(sk9,skaf43(X0,X1))) = sk9,
inference(superposition,[status(thm)],[c_299,c_10018]) ).
tcf(c_11375,plain,
! [X0: $i,X1: $i] : hd(cons(sk9,skaf42(X0,X1))) = sk9,
inference(superposition,[status(thm)],[c_300,c_10018]) ).
tcf(c_11376,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sk9,tl(X0))) = sk9 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_10018]) ).
tcf(c_11377,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sk9,app(X1,X0))) = sk9 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_10018]) ).
tcf(c_11378,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sk9,cons(X1,X0))) = sk9 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_10018]) ).
tcf(c_11379,plain,
hd(cons(sk9,iPr_def_16)) = sk9,
inference(superposition,[status(thm)],[c_9020,c_10018]) ).
tcf(c_11380,plain,
hd(cons(sk9,iPr_def_13)) = sk9,
inference(superposition,[status(thm)],[c_9527,c_10018]) ).
tcf(c_11381,plain,
hd(cons(sk9,iPr_def_12)) = sk9,
inference(superposition,[status(thm)],[c_9489,c_10018]) ).
tcf(c_11382,plain,
hd(cons(sk9,iPr_def_14)) = sk9,
inference(superposition,[status(thm)],[c_9488,c_10018]) ).
tcf(c_11492,plain,
! [X0: $i] :
( frontsegP(skaf66(X0),skaf66(X0))
| ~ ssList(nil)
| ~ ssList(skaf66(X0)) ),
inference(superposition,[status(thm)],[c_9116,c_808]) ).
tcf(c_11493,plain,
! [X0: $i] :
( rearsegP(skaf66(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf66(X0)) ),
inference(superposition,[status(thm)],[c_9116,c_807]) ).
tcf(c_11494,plain,
! [X0: $i] : rearsegP(skaf66(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_11493,c_255,c_276]) ).
tcf(c_11495,plain,
! [X0: $i] : frontsegP(skaf66(X0),skaf66(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_11492,c_255,c_276]) ).
tcf(c_11504,plain,
! [X0: $i] :
( ( app(cons(sk5,nil),X0) = cons(sk5,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6485,c_367]) ).
tcf(c_11505,plain,
! [X0: $i] :
( ( app(cons(sk6,nil),X0) = cons(sk6,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6484,c_367]) ).
tcf(c_11506,plain,
! [X0: $i] :
( ( app(cons(sk9,nil),X0) = cons(sk9,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6480,c_367]) ).
tcf(c_11507,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ iPr_def_10
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6470,c_367]) ).
tcf(c_11508,plain,
! [X0: $i] :
( ( app(cons(skac3,nil),X0) = cons(skac3,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_256,c_367]) ).
tcf(c_11509,plain,
! [X0: $i] :
( ( app(cons(skac2,nil),X0) = cons(skac2,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_257,c_367]) ).
tcf(c_11510,plain,
! [X0: $i,X1: $i] :
( ( app(cons(skaf83(X1),nil),X0) = cons(skaf83(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_259,c_367]) ).
tcf(c_11511,plain,
! [X0: $i,X1: $i] :
( ( app(cons(skaf79(X1),nil),X0) = cons(skaf79(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_263,c_367]) ).
tcf(c_11512,plain,
! [X0: $i,X1: $i] :
( ( app(cons(skaf78(X1),nil),X0) = cons(skaf78(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_264,c_367]) ).
tcf(c_11513,plain,
! [X0: $i,X1: $i] :
( ( app(cons(skaf74(X1),nil),X0) = cons(skaf74(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_268,c_367]) ).
tcf(c_11514,plain,
! [X0: $i,X1: $i] :
( ( app(cons(skaf70(X1),nil),X0) = cons(skaf70(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_272,c_367]) ).
tcf(c_11515,plain,
! [X0: $i,X1: $i] :
( ( app(cons(skaf69(X1),nil),X0) = cons(skaf69(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_273,c_367]) ).
tcf(c_11516,plain,
! [X0: $i,X1: $i] :
( ( app(cons(skaf65(X1),nil),X0) = cons(skaf65(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_277,c_367]) ).
tcf(c_11517,plain,
! [X0: $i,X1: $i] :
( ( app(cons(skaf64(X1),nil),X0) = cons(skaf64(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_278,c_367]) ).
tcf(c_11518,plain,
! [X0: $i,X1: $i] :
( ( app(cons(skaf60(X1),nil),X0) = cons(skaf60(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_282,c_367]) ).
tcf(c_11519,plain,
! [X0: $i,X1: $i] :
( ( app(cons(skaf59(X1),nil),X0) = cons(skaf59(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_283,c_367]) ).
tcf(c_11520,plain,
! [X0: $i,X1: $i] :
( ( app(cons(skaf55(X1),nil),X0) = cons(skaf55(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_287,c_367]) ).
tcf(c_11521,plain,
! [X0: $i,X1: $i] :
( ( app(cons(skaf54(X1),nil),X0) = cons(skaf54(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_288,c_367]) ).
tcf(c_11522,plain,
! [X0: $i,X1: $i] :
( ( app(cons(skaf50(X1),nil),X0) = cons(skaf50(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_292,c_367]) ).
tcf(c_11523,plain,
! [X0: $i,X1: $i] :
( ( app(cons(skaf49(X1),nil),X0) = cons(skaf49(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_293,c_367]) ).
tcf(c_11524,plain,
! [X0: $i,X1: $i] :
( ( app(cons(skaf44(X1),nil),X0) = cons(skaf44(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_294,c_367]) ).
tcf(c_11525,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(cons(hd(X0),nil),X1) = cons(hd(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_325,c_367]) ).
tcf(c_11532,plain,
! [X0: $i] :
( ( cons(sk6,X0) = app(iPr_def_14,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_11505,c_6475]) ).
tcf(c_11535,plain,
! [X0: $i] :
( ( cons(sk5,X0) = app(iPr_def_12,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_11504,c_6473]) ).
tcf(c_11605,plain,
( ( sk7 = nil )
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6474,c_365]) ).
tcf(c_11606,plain,
( ( nil = iPr_def_13 )
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ( nil != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6476,c_365]) ).
tcf(c_11607,plain,
( ( nil = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(sk8)
| ( nil != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6477,c_365]) ).
tcf(c_11634,plain,
( ( nil = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ( nil != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11607,c_6482]) ).
tcf(c_11638,plain,
( ( nil = iPr_def_13 )
| ( nil != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11606,c_9488,c_9527]) ).
tcf(c_11641,plain,
( ( sk7 = nil )
| ( nil != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11605,c_9489,c_6483]) ).
tcf(c_11653,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6474,c_366]) ).
tcf(c_11654,plain,
( ( nil = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ( nil != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6476,c_366]) ).
tcf(c_11655,plain,
( ( sk8 = nil )
| ~ ssList(iPr_def_15)
| ~ ssList(sk8)
| ( nil != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6477,c_366]) ).
tcf(c_11682,plain,
( ( sk8 = nil )
| ~ ssList(iPr_def_15)
| ( nil != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11655,c_6482]) ).
tcf(c_11686,plain,
nil != iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_11654,c_10149,c_9488,c_9527]) ).
tcf(c_11687,plain,
nil != iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_11653,c_10150,c_9489,c_6483]) ).
tcf(c_11699,plain,
! [X0: $i] :
( cyclefreeP(X0)
| lt(skaf50(X0),skaf49(X0))
| ( skaf50(X0) = skaf49(X0) )
| ~ ssList(X0)
| ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0)) ),
inference(superposition,[status(thm)],[c_334,c_369]) ).
tcf(c_11700,plain,
! [X0: $i] :
( cyclefreeP(X0)
| lt(skaf49(X0),skaf50(X0))
| ( skaf50(X0) = skaf49(X0) )
| ~ ssList(X0)
| ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0)) ),
inference(superposition,[status(thm)],[c_335,c_369]) ).
tcf(c_11701,plain,
! [X0: $i] :
( cyclefreeP(X0)
| lt(skaf49(X0),skaf50(X0))
| ( skaf50(X0) = skaf49(X0) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11700,c_293,c_292]) ).
tcf(c_11706,plain,
! [X0: $i] :
( cyclefreeP(X0)
| lt(skaf50(X0),skaf49(X0))
| ( skaf50(X0) = skaf49(X0) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11699,c_293,c_292]) ).
tcf(c_11717,plain,
( memberP(sk4,hd(sk4))
| ( sk4 = nil )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_10766,c_385]) ).
tcf(c_11719,plain,
( ( sk4 = nil )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ( tl(sk4) != sk4 ) ),
inference(superposition,[status(thm)],[c_10766,c_346]) ).
tcf(c_11733,plain,
( memberP(sk7,hd(sk7))
| ( sk7 = nil )
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7)) ),
inference(superposition,[status(thm)],[c_10767,c_385]) ).
tcf(c_11735,plain,
( ( sk7 = nil )
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ( tl(sk7) != sk7 ) ),
inference(superposition,[status(thm)],[c_10767,c_346]) ).
tcf(c_11778,plain,
( memberP(sk8,hd(sk8))
| ( sk8 = nil )
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8)) ),
inference(superposition,[status(thm)],[c_10768,c_385]) ).
tcf(c_11780,plain,
( ( sk8 = nil )
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ( tl(sk8) != sk8 ) ),
inference(superposition,[status(thm)],[c_10768,c_346]) ).
tcf(c_11794,plain,
( memberP(sk4,skaf83(sk4))
| ( sk4 = nil )
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4)) ),
inference(superposition,[status(thm)],[c_10982,c_385]) ).
tcf(c_11796,plain,
( ( sk4 = nil )
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ( skaf82(sk4) != sk4 ) ),
inference(superposition,[status(thm)],[c_10982,c_346]) ).
tcf(c_11798,plain,
( memberP(sk4,skaf83(sk4))
| ( sk4 = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11794,c_259,c_260]) ).
tcf(c_11801,plain,
( ( sk4 = nil )
| ( skaf82(sk4) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11796,c_259,c_260]) ).
tcf(c_11807,plain,
! [X0: $i] :
( frontsegP(skaf63(X0),skaf63(X0))
| ~ ssList(nil)
| ~ ssList(skaf63(X0)) ),
inference(superposition,[status(thm)],[c_9117,c_808]) ).
tcf(c_11808,plain,
! [X0: $i] :
( rearsegP(skaf63(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf63(X0)) ),
inference(superposition,[status(thm)],[c_9117,c_807]) ).
tcf(c_11809,plain,
! [X0: $i] : rearsegP(skaf63(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_11808,c_255,c_279]) ).
tcf(c_11810,plain,
! [X0: $i] : frontsegP(skaf63(X0),skaf63(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_11807,c_255,c_279]) ).
tcf(c_11826,plain,
( strictorderedP(tl(sk4))
| ( sk4 = nil )
| ( tl(sk4) = nil )
| ~ strictorderedP(sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_10766,c_371]) ).
tcf(c_11827,plain,
( strictorderedP(tl(sk7))
| ( sk7 = nil )
| ( tl(sk7) = nil )
| ~ strictorderedP(sk7)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7)) ),
inference(superposition,[status(thm)],[c_10767,c_371]) ).
tcf(c_11828,plain,
( strictorderedP(tl(sk8))
| ( sk8 = nil )
| ( tl(sk8) = nil )
| ~ strictorderedP(sk8)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8)) ),
inference(superposition,[status(thm)],[c_10768,c_371]) ).
tcf(c_11829,plain,
( strictorderedP(skaf82(sk4))
| ( sk4 = nil )
| ( skaf82(sk4) = nil )
| ~ strictorderedP(sk4)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4)) ),
inference(superposition,[status(thm)],[c_10982,c_371]) ).
tcf(c_11830,plain,
( strictorderedP(skaf82(sk4))
| ( sk4 = nil )
| ( skaf82(sk4) = nil )
| ~ strictorderedP(sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11829,c_259,c_260]) ).
tcf(c_11866,plain,
( totalorderedP(tl(sk4))
| ( sk4 = nil )
| ( tl(sk4) = nil )
| ~ totalorderedP(sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_10766,c_372]) ).
tcf(c_11867,plain,
( totalorderedP(tl(sk7))
| ( sk7 = nil )
| ( tl(sk7) = nil )
| ~ totalorderedP(sk7)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7)) ),
inference(superposition,[status(thm)],[c_10767,c_372]) ).
tcf(c_11868,plain,
( totalorderedP(tl(sk8))
| ( sk8 = nil )
| ( tl(sk8) = nil )
| ~ totalorderedP(sk8)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8)) ),
inference(superposition,[status(thm)],[c_10768,c_372]) ).
tcf(c_11869,plain,
( totalorderedP(skaf82(sk4))
| ( sk4 = nil )
| ( skaf82(sk4) = nil )
| ~ totalorderedP(sk4)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4)) ),
inference(superposition,[status(thm)],[c_10982,c_372]) ).
tcf(c_11870,plain,
( totalorderedP(skaf82(sk4))
| ( sk4 = nil )
| ( skaf82(sk4) = nil )
| ~ totalorderedP(sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11869,c_259,c_260]) ).
tcf(c_11901,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,X0)) = hd(sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6486,c_370]) ).
tcf(c_11902,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,X0)) = hd(sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6483,c_370]) ).
tcf(c_11903,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,X0)) = hd(sk8) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6482,c_370]) ).
tcf(c_11905,plain,
! [X0: $i,X1: $i] :
( ( skaf82(X1) = nil )
| ( hd(app(skaf82(X1),X0)) = hd(skaf82(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_260,c_370]) ).
tcf(c_11906,plain,
! [X0: $i,X1: $i] :
( ( skaf81(X1) = nil )
| ( hd(app(skaf81(X1),X0)) = hd(skaf81(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_261,c_370]) ).
tcf(c_11907,plain,
! [X0: $i,X1: $i] :
( ( skaf80(X1) = nil )
| ( hd(app(skaf80(X1),X0)) = hd(skaf80(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_262,c_370]) ).
tcf(c_11908,plain,
! [X0: $i,X1: $i] :
( ( skaf77(X1) = nil )
| ( hd(app(skaf77(X1),X0)) = hd(skaf77(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_265,c_370]) ).
tcf(c_11909,plain,
! [X0: $i,X1: $i] :
( ( skaf76(X1) = nil )
| ( hd(app(skaf76(X1),X0)) = hd(skaf76(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_266,c_370]) ).
tcf(c_11910,plain,
! [X0: $i,X1: $i] :
( ( skaf75(X1) = nil )
| ( hd(app(skaf75(X1),X0)) = hd(skaf75(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_267,c_370]) ).
tcf(c_11911,plain,
! [X0: $i,X1: $i] :
( ( skaf73(X1) = nil )
| ( hd(app(skaf73(X1),X0)) = hd(skaf73(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_269,c_370]) ).
tcf(c_11912,plain,
! [X0: $i,X1: $i] :
( ( skaf72(X1) = nil )
| ( hd(app(skaf72(X1),X0)) = hd(skaf72(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_270,c_370]) ).
tcf(c_11913,plain,
! [X0: $i,X1: $i] :
( ( skaf71(X1) = nil )
| ( hd(app(skaf71(X1),X0)) = hd(skaf71(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_271,c_370]) ).
tcf(c_11914,plain,
! [X0: $i,X1: $i] :
( ( skaf68(X1) = nil )
| ( hd(app(skaf68(X1),X0)) = hd(skaf68(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_274,c_370]) ).
tcf(c_11915,plain,
! [X0: $i,X1: $i] :
( ( skaf67(X1) = nil )
| ( hd(app(skaf67(X1),X0)) = hd(skaf67(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_275,c_370]) ).
tcf(c_11916,plain,
! [X0: $i,X1: $i] :
( ( skaf66(X1) = nil )
| ( hd(app(skaf66(X1),X0)) = hd(skaf66(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_276,c_370]) ).
tcf(c_11917,plain,
! [X0: $i,X1: $i] :
( ( skaf63(X1) = nil )
| ( hd(app(skaf63(X1),X0)) = hd(skaf63(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_279,c_370]) ).
tcf(c_11918,plain,
! [X0: $i,X1: $i] :
( ( skaf62(X1) = nil )
| ( hd(app(skaf62(X1),X0)) = hd(skaf62(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_280,c_370]) ).
tcf(c_11919,plain,
! [X0: $i,X1: $i] :
( ( skaf61(X1) = nil )
| ( hd(app(skaf61(X1),X0)) = hd(skaf61(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_281,c_370]) ).
tcf(c_11920,plain,
! [X0: $i,X1: $i] :
( ( skaf58(X1) = nil )
| ( hd(app(skaf58(X1),X0)) = hd(skaf58(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_284,c_370]) ).
tcf(c_11921,plain,
! [X0: $i,X1: $i] :
( ( skaf57(X1) = nil )
| ( hd(app(skaf57(X1),X0)) = hd(skaf57(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_285,c_370]) ).
tcf(c_11922,plain,
! [X0: $i,X1: $i] :
( ( skaf56(X1) = nil )
| ( hd(app(skaf56(X1),X0)) = hd(skaf56(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_286,c_370]) ).
tcf(c_11923,plain,
! [X0: $i,X1: $i] :
( ( skaf53(X1) = nil )
| ( hd(app(skaf53(X1),X0)) = hd(skaf53(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_289,c_370]) ).
tcf(c_11924,plain,
! [X0: $i,X1: $i] :
( ( skaf52(X1) = nil )
| ( hd(app(skaf52(X1),X0)) = hd(skaf52(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_290,c_370]) ).
tcf(c_11925,plain,
! [X0: $i,X1: $i] :
( ( skaf51(X1) = nil )
| ( hd(app(skaf51(X1),X0)) = hd(skaf51(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_291,c_370]) ).
tcf(c_11926,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf48(X1,X2) = nil )
| ( hd(app(skaf48(X1,X2),X0)) = hd(skaf48(X1,X2)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_295,c_370]) ).
tcf(c_11927,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf47(X1,X2) = nil )
| ( hd(app(skaf47(X1,X2),X0)) = hd(skaf47(X1,X2)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_296,c_370]) ).
tcf(c_11928,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf46(X1,X2) = nil )
| ( hd(app(skaf46(X1,X2),X0)) = hd(skaf46(X1,X2)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_297,c_370]) ).
tcf(c_11929,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf45(X1,X2) = nil )
| ( hd(app(skaf45(X1,X2),X0)) = hd(skaf45(X1,X2)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_298,c_370]) ).
tcf(c_11930,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf43(X1,X2) = nil )
| ( hd(app(skaf43(X1,X2),X0)) = hd(skaf43(X1,X2)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_299,c_370]) ).
tcf(c_11931,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf42(X1,X2) = nil )
| ( hd(app(skaf42(X1,X2),X0)) = hd(skaf42(X1,X2)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_300,c_370]) ).
tcf(c_11932,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( tl(X0) = nil )
| ( hd(app(tl(X0),X1)) = hd(tl(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_370]) ).
tcf(c_11933,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(X1,X0) = nil )
| ( hd(app(app(X1,X0),X2)) = hd(app(X1,X0)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_370]) ).
tcf(c_11934,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X2,X0) = nil )
| ( hd(app(cons(X2,X0),X1)) = hd(cons(X2,X0)) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_370]) ).
tcf(c_11935,plain,
! [X0: $i] :
( ( nil = iPr_def_16 )
| ( hd(app(iPr_def_16,X0)) = hd(iPr_def_16) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9020,c_370]) ).
tcf(c_11936,plain,
! [X0: $i] :
( ( nil = iPr_def_13 )
| ( hd(app(iPr_def_13,X0)) = hd(iPr_def_13) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9527,c_370]) ).
tcf(c_11937,plain,
! [X0: $i] :
( ( nil = iPr_def_12 )
| ( hd(app(iPr_def_12,X0)) = hd(iPr_def_12) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9489,c_370]) ).
tcf(c_11938,plain,
! [X0: $i] :
( ( nil = iPr_def_14 )
| ( hd(app(iPr_def_14,X0)) = hd(iPr_def_14) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9488,c_370]) ).
tcf(c_11939,plain,
! [X0: $i] :
( ( nil = iPr_def_14 )
| ( hd(app(iPr_def_14,X0)) = sk6 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_11938,c_11259]) ).
tcf(c_11940,plain,
! [X0: $i] :
( ( hd(app(iPr_def_14,X0)) = sk6 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11939,c_10149]) ).
tcf(c_11943,plain,
! [X0: $i] :
( ( nil = iPr_def_12 )
| ( hd(app(iPr_def_12,X0)) = sk5 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_11937,c_10687]) ).
tcf(c_11944,plain,
! [X0: $i] :
( ( hd(app(iPr_def_12,X0)) = sk5 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11943,c_10150]) ).
tcf(c_11947,plain,
! [X0: $i] :
( ( hd(app(iPr_def_13,X0)) = hd(iPr_def_13) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11936,c_11687]) ).
tcf(c_12268,plain,
( memberP(sk7,skaf83(sk7))
| ( sk7 = nil )
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7)) ),
inference(superposition,[status(thm)],[c_10983,c_385]) ).
tcf(c_12270,plain,
( totalorderedP(skaf82(sk7))
| ( sk7 = nil )
| ( skaf82(sk7) = nil )
| ~ totalorderedP(sk7)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7)) ),
inference(superposition,[status(thm)],[c_10983,c_372]) ).
tcf(c_12271,plain,
( strictorderedP(skaf82(sk7))
| ( sk7 = nil )
| ( skaf82(sk7) = nil )
| ~ strictorderedP(sk7)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7)) ),
inference(superposition,[status(thm)],[c_10983,c_371]) ).
tcf(c_12272,plain,
( ( sk7 = nil )
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ( skaf82(sk7) != sk7 ) ),
inference(superposition,[status(thm)],[c_10983,c_346]) ).
tcf(c_12274,plain,
( memberP(sk7,skaf83(sk7))
| ( sk7 = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12268,c_259,c_260]) ).
tcf(c_12277,plain,
( ( sk7 = nil )
| ( skaf82(sk7) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12272,c_259,c_260]) ).
tcf(c_12280,plain,
( strictorderedP(skaf82(sk7))
| ( sk7 = nil )
| ( skaf82(sk7) = nil )
| ~ strictorderedP(sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12271,c_259,c_260]) ).
tcf(c_12285,plain,
( totalorderedP(skaf82(sk7))
| ( sk7 = nil )
| ( skaf82(sk7) = nil )
| ~ totalorderedP(sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12270,c_259,c_260]) ).
tcf(c_12330,plain,
( memberP(sk8,skaf83(sk8))
| ( sk8 = nil )
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8)) ),
inference(superposition,[status(thm)],[c_10984,c_385]) ).
tcf(c_12332,plain,
( totalorderedP(skaf82(sk8))
| ( sk8 = nil )
| ( skaf82(sk8) = nil )
| ~ totalorderedP(sk8)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8)) ),
inference(superposition,[status(thm)],[c_10984,c_372]) ).
tcf(c_12333,plain,
( strictorderedP(skaf82(sk8))
| ( sk8 = nil )
| ( skaf82(sk8) = nil )
| ~ strictorderedP(sk8)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8)) ),
inference(superposition,[status(thm)],[c_10984,c_371]) ).
tcf(c_12334,plain,
( ( sk8 = nil )
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ( skaf82(sk8) != sk8 ) ),
inference(superposition,[status(thm)],[c_10984,c_346]) ).
tcf(c_12336,plain,
( memberP(sk8,skaf83(sk8))
| ( sk8 = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12330,c_259,c_260]) ).
tcf(c_12339,plain,
( ( sk8 = nil )
| ( skaf82(sk8) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12334,c_259,c_260]) ).
tcf(c_12342,plain,
( strictorderedP(skaf82(sk8))
| ( sk8 = nil )
| ( skaf82(sk8) = nil )
| ~ strictorderedP(sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12333,c_259,c_260]) ).
tcf(c_12347,plain,
( totalorderedP(skaf82(sk8))
| ( sk8 = nil )
| ( skaf82(sk8) = nil )
| ~ totalorderedP(sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12332,c_259,c_260]) ).
tcf(c_12352,plain,
nil != iPr_def_16,
inference(global_subsumption_just,[status(thm)],[c_11634,c_9461,c_9443,c_9489,c_9488,c_11638,c_11634,c_11687]) ).
tcf(c_12358,plain,
app(cons(sk9,nil),sk4) = cons(sk9,sk4),
inference(superposition,[status(thm)],[c_6486,c_11506]) ).
tcf(c_12359,plain,
app(cons(sk9,nil),sk7) = cons(sk9,sk7),
inference(superposition,[status(thm)],[c_6483,c_11506]) ).
tcf(c_12360,plain,
app(cons(sk9,nil),sk8) = cons(sk9,sk8),
inference(superposition,[status(thm)],[c_6482,c_11506]) ).
tcf(c_12361,plain,
app(cons(sk9,nil),nil) = cons(sk9,nil),
inference(superposition,[status(thm)],[c_255,c_11506]) ).
tcf(c_12362,plain,
! [X0: $i] : app(cons(sk9,nil),skaf82(X0)) = cons(sk9,skaf82(X0)),
inference(superposition,[status(thm)],[c_260,c_11506]) ).
tcf(c_12363,plain,
! [X0: $i] : app(cons(sk9,nil),skaf81(X0)) = cons(sk9,skaf81(X0)),
inference(superposition,[status(thm)],[c_261,c_11506]) ).
tcf(c_12364,plain,
! [X0: $i] : app(cons(sk9,nil),skaf80(X0)) = cons(sk9,skaf80(X0)),
inference(superposition,[status(thm)],[c_262,c_11506]) ).
tcf(c_12365,plain,
! [X0: $i] : app(cons(sk9,nil),skaf77(X0)) = cons(sk9,skaf77(X0)),
inference(superposition,[status(thm)],[c_265,c_11506]) ).
tcf(c_12366,plain,
! [X0: $i] : app(cons(sk9,nil),skaf76(X0)) = cons(sk9,skaf76(X0)),
inference(superposition,[status(thm)],[c_266,c_11506]) ).
tcf(c_12367,plain,
! [X0: $i] : app(cons(sk9,nil),skaf75(X0)) = cons(sk9,skaf75(X0)),
inference(superposition,[status(thm)],[c_267,c_11506]) ).
tcf(c_12368,plain,
! [X0: $i] : app(cons(sk9,nil),skaf73(X0)) = cons(sk9,skaf73(X0)),
inference(superposition,[status(thm)],[c_269,c_11506]) ).
tcf(c_12369,plain,
! [X0: $i] : app(cons(sk9,nil),skaf72(X0)) = cons(sk9,skaf72(X0)),
inference(superposition,[status(thm)],[c_270,c_11506]) ).
tcf(c_12370,plain,
! [X0: $i] : app(cons(sk9,nil),skaf71(X0)) = cons(sk9,skaf71(X0)),
inference(superposition,[status(thm)],[c_271,c_11506]) ).
tcf(c_12371,plain,
! [X0: $i] : app(cons(sk9,nil),skaf68(X0)) = cons(sk9,skaf68(X0)),
inference(superposition,[status(thm)],[c_274,c_11506]) ).
tcf(c_12372,plain,
! [X0: $i] : app(cons(sk9,nil),skaf67(X0)) = cons(sk9,skaf67(X0)),
inference(superposition,[status(thm)],[c_275,c_11506]) ).
tcf(c_12373,plain,
! [X0: $i] : app(cons(sk9,nil),skaf66(X0)) = cons(sk9,skaf66(X0)),
inference(superposition,[status(thm)],[c_276,c_11506]) ).
tcf(c_12374,plain,
! [X0: $i] : app(cons(sk9,nil),skaf63(X0)) = cons(sk9,skaf63(X0)),
inference(superposition,[status(thm)],[c_279,c_11506]) ).
tcf(c_12375,plain,
! [X0: $i] : app(cons(sk9,nil),skaf62(X0)) = cons(sk9,skaf62(X0)),
inference(superposition,[status(thm)],[c_280,c_11506]) ).
tcf(c_12376,plain,
! [X0: $i] : app(cons(sk9,nil),skaf61(X0)) = cons(sk9,skaf61(X0)),
inference(superposition,[status(thm)],[c_281,c_11506]) ).
tcf(c_12377,plain,
! [X0: $i] : app(cons(sk9,nil),skaf58(X0)) = cons(sk9,skaf58(X0)),
inference(superposition,[status(thm)],[c_284,c_11506]) ).
tcf(c_12378,plain,
! [X0: $i] : app(cons(sk9,nil),skaf57(X0)) = cons(sk9,skaf57(X0)),
inference(superposition,[status(thm)],[c_285,c_11506]) ).
tcf(c_12379,plain,
! [X0: $i] : app(cons(sk9,nil),skaf56(X0)) = cons(sk9,skaf56(X0)),
inference(superposition,[status(thm)],[c_286,c_11506]) ).
tcf(c_12380,plain,
! [X0: $i] : app(cons(sk9,nil),skaf53(X0)) = cons(sk9,skaf53(X0)),
inference(superposition,[status(thm)],[c_289,c_11506]) ).
tcf(c_12381,plain,
! [X0: $i] : app(cons(sk9,nil),skaf52(X0)) = cons(sk9,skaf52(X0)),
inference(superposition,[status(thm)],[c_290,c_11506]) ).
tcf(c_12382,plain,
! [X0: $i] : app(cons(sk9,nil),skaf51(X0)) = cons(sk9,skaf51(X0)),
inference(superposition,[status(thm)],[c_291,c_11506]) ).
tcf(c_12383,plain,
! [X0: $i,X1: $i] : app(cons(sk9,nil),skaf48(X0,X1)) = cons(sk9,skaf48(X0,X1)),
inference(superposition,[status(thm)],[c_295,c_11506]) ).
tcf(c_12384,plain,
! [X0: $i,X1: $i] : app(cons(sk9,nil),skaf47(X0,X1)) = cons(sk9,skaf47(X0,X1)),
inference(superposition,[status(thm)],[c_296,c_11506]) ).
tcf(c_12385,plain,
! [X0: $i,X1: $i] : app(cons(sk9,nil),skaf46(X0,X1)) = cons(sk9,skaf46(X0,X1)),
inference(superposition,[status(thm)],[c_297,c_11506]) ).
tcf(c_12386,plain,
! [X0: $i,X1: $i] : app(cons(sk9,nil),skaf45(X0,X1)) = cons(sk9,skaf45(X0,X1)),
inference(superposition,[status(thm)],[c_298,c_11506]) ).
tcf(c_12387,plain,
! [X0: $i,X1: $i] : app(cons(sk9,nil),skaf43(X0,X1)) = cons(sk9,skaf43(X0,X1)),
inference(superposition,[status(thm)],[c_299,c_11506]) ).
tcf(c_12388,plain,
! [X0: $i,X1: $i] : app(cons(sk9,nil),skaf42(X0,X1)) = cons(sk9,skaf42(X0,X1)),
inference(superposition,[status(thm)],[c_300,c_11506]) ).
tcf(c_12389,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(cons(sk9,nil),tl(X0)) = cons(sk9,tl(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_11506]) ).
tcf(c_12390,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sk9,nil),app(X1,X0)) = cons(sk9,app(X1,X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_11506]) ).
tcf(c_12391,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sk9,nil),cons(X1,X0)) = cons(sk9,cons(X1,X0)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_11506]) ).
tcf(c_12392,plain,
app(cons(sk9,nil),iPr_def_16) = cons(sk9,iPr_def_16),
inference(superposition,[status(thm)],[c_9020,c_11506]) ).
tcf(c_12393,plain,
app(cons(sk9,nil),iPr_def_13) = cons(sk9,iPr_def_13),
inference(superposition,[status(thm)],[c_9527,c_11506]) ).
tcf(c_12394,plain,
app(cons(sk9,nil),iPr_def_12) = cons(sk9,iPr_def_12),
inference(superposition,[status(thm)],[c_9489,c_11506]) ).
tcf(c_12395,plain,
app(cons(sk9,nil),iPr_def_14) = cons(sk9,iPr_def_14),
inference(superposition,[status(thm)],[c_9488,c_11506]) ).
tcf(c_12513,plain,
( ssList(cons(sk9,sk4))
| ~ ssList(sk4)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12358,c_332]) ).
tcf(c_12514,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk9,nil))
| ( cons(sk9,sk4) != nil ) ),
inference(superposition,[status(thm)],[c_12358,c_366]) ).
tcf(c_12515,plain,
( ( cons(sk9,nil) = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk9,nil))
| ( cons(sk9,sk4) != nil ) ),
inference(superposition,[status(thm)],[c_12358,c_365]) ).
tcf(c_12516,plain,
( frontsegP(cons(sk9,sk4),cons(sk9,nil))
| ~ ssList(sk4)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12358,c_808]) ).
tcf(c_12517,plain,
( rearsegP(cons(sk9,sk4),sk4)
| ~ ssList(sk4)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12358,c_807]) ).
tcf(c_12518,plain,
( ssList(cons(sk9,sk4))
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12513,c_6486]) ).
tcf(c_12521,plain,
( rearsegP(cons(sk9,sk4),sk4)
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12517,c_6486]) ).
tcf(c_12524,plain,
( frontsegP(cons(sk9,sk4),cons(sk9,nil))
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12516,c_6486]) ).
tcf(c_12527,plain,
( ( sk4 = nil )
| ~ ssList(cons(sk9,nil))
| ( cons(sk9,sk4) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12514,c_6486]) ).
tcf(c_12531,plain,
( ( cons(sk9,nil) = nil )
| ~ ssList(cons(sk9,nil))
| ( cons(sk9,sk4) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12515,c_6486]) ).
tcf(c_12535,plain,
ssList(cons(sk9,sk4)),
inference(global_subsumption_just,[status(thm)],[c_12518,c_443,c_255,c_11180,c_12518]) ).
tcf(c_12537,plain,
! [X0: $i] :
( ( cons(sk9,sk4) = nil )
| ( hd(app(cons(sk9,sk4),X0)) = hd(cons(sk9,sk4)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12535,c_370]) ).
tcf(c_12538,plain,
app(cons(sk9,nil),cons(sk9,sk4)) = cons(sk9,cons(sk9,sk4)),
inference(superposition,[status(thm)],[c_12535,c_11506]) ).
tcf(c_12539,plain,
hd(cons(sk9,cons(sk9,sk4))) = sk9,
inference(superposition,[status(thm)],[c_12535,c_10018]) ).
tcf(c_12540,plain,
hd(cons(sk6,cons(sk9,sk4))) = sk6,
inference(superposition,[status(thm)],[c_12535,c_10017]) ).
tcf(c_12541,plain,
( ( cons(sk9,sk4) = nil )
| ( cons(skaf83(cons(sk9,sk4)),skaf82(cons(sk9,sk4))) = cons(sk9,sk4) ) ),
inference(superposition,[status(thm)],[c_12535,c_356]) ).
tcf(c_12542,plain,
( ( cons(sk9,sk4) = nil )
| ( cons(hd(cons(sk9,sk4)),tl(cons(sk9,sk4))) = cons(sk9,sk4) ) ),
inference(superposition,[status(thm)],[c_12535,c_351]) ).
tcf(c_12543,plain,
hd(cons(sk5,cons(sk9,sk4))) = sk5,
inference(superposition,[status(thm)],[c_12535,c_10016]) ).
tcf(c_12544,plain,
tl(cons(sk9,cons(sk9,sk4))) = cons(sk9,sk4),
inference(superposition,[status(thm)],[c_12535,c_9888]) ).
tcf(c_12545,plain,
tl(cons(sk6,cons(sk9,sk4))) = cons(sk9,sk4),
inference(superposition,[status(thm)],[c_12535,c_9887]) ).
tcf(c_12546,plain,
tl(cons(sk5,cons(sk9,sk4))) = cons(sk9,sk4),
inference(superposition,[status(thm)],[c_12535,c_9886]) ).
tcf(c_12547,plain,
( duplicatefreeP(cons(sk9,sk4))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_12535,c_6471]) ).
tcf(c_12548,plain,
app(nil,cons(sk9,sk4)) = cons(sk9,sk4),
inference(superposition,[status(thm)],[c_12535,c_321]) ).
tcf(c_12549,plain,
app(cons(sk9,sk4),nil) = cons(sk9,sk4),
inference(superposition,[status(thm)],[c_12535,c_320]) ).
tcf(c_12555,plain,
! [X0: $i] :
( ( cons(sk9,sk4) = nil )
| ( hd(app(cons(sk9,sk4),X0)) = sk9 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_12537,c_11345]) ).
tcf(c_12560,plain,
( ssList(cons(sk9,sk7))
| ~ ssList(sk7)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12359,c_332]) ).
tcf(c_12561,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(cons(sk9,nil))
| ( cons(sk9,sk7) != nil ) ),
inference(superposition,[status(thm)],[c_12359,c_366]) ).
tcf(c_12562,plain,
( ( cons(sk9,nil) = nil )
| ~ ssList(sk7)
| ~ ssList(cons(sk9,nil))
| ( cons(sk9,sk7) != nil ) ),
inference(superposition,[status(thm)],[c_12359,c_365]) ).
tcf(c_12563,plain,
( frontsegP(cons(sk9,sk7),cons(sk9,nil))
| ~ ssList(sk7)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12359,c_808]) ).
tcf(c_12564,plain,
( rearsegP(cons(sk9,sk7),sk7)
| ~ ssList(sk7)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12359,c_807]) ).
tcf(c_12565,plain,
( ssList(cons(sk9,sk7))
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12560,c_6483]) ).
tcf(c_12568,plain,
( rearsegP(cons(sk9,sk7),sk7)
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12564,c_6483]) ).
tcf(c_12571,plain,
( frontsegP(cons(sk9,sk7),cons(sk9,nil))
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12563,c_6483]) ).
tcf(c_12574,plain,
( ( sk7 = nil )
| ~ ssList(cons(sk9,nil))
| ( cons(sk9,sk7) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12561,c_6483]) ).
tcf(c_12578,plain,
( ( cons(sk9,nil) = nil )
| ~ ssList(cons(sk9,nil))
| ( cons(sk9,sk7) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12562,c_6483]) ).
tcf(c_12585,plain,
! [X0: $i] :
( frontsegP(skaf62(X0),skaf62(X0))
| ~ ssList(nil)
| ~ ssList(skaf62(X0)) ),
inference(superposition,[status(thm)],[c_9118,c_808]) ).
tcf(c_12586,plain,
! [X0: $i] :
( rearsegP(skaf62(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf62(X0)) ),
inference(superposition,[status(thm)],[c_9118,c_807]) ).
tcf(c_12587,plain,
! [X0: $i] : rearsegP(skaf62(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_12586,c_255,c_280]) ).
tcf(c_12588,plain,
! [X0: $i] : frontsegP(skaf62(X0),skaf62(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_12585,c_255,c_280]) ).
tcf(c_12601,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_303,c_374]) ).
tcf(c_12615,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_305,c_375]) ).
tcf(c_12618,plain,
! [X0: $i,X1: $i] :
( ( app(X1,X0) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,app(X1,X0)) ),
inference(superposition,[status(thm)],[c_807,c_375]) ).
tcf(c_12619,plain,
( ( iPr_def_12 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12)
| ~ rearsegP(iPr_def_12,iPr_def_13) ),
inference(superposition,[status(thm)],[c_9759,c_375]) ).
tcf(c_12620,plain,
( ( iPr_def_14 = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_14)
| ~ rearsegP(iPr_def_14,iPr_def_15) ),
inference(superposition,[status(thm)],[c_9758,c_375]) ).
tcf(c_12621,plain,
( ( sk8 = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(sk8)
| ~ rearsegP(sk8,iPr_def_16) ),
inference(superposition,[status(thm)],[c_10130,c_375]) ).
tcf(c_12622,plain,
( ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ rearsegP(nil,sk4) ),
inference(superposition,[status(thm)],[c_9754,c_375]) ).
tcf(c_12623,plain,
( ( sk7 = nil )
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ rearsegP(nil,sk7) ),
inference(superposition,[status(thm)],[c_9753,c_375]) ).
tcf(c_12624,plain,
( ( sk8 = nil )
| ~ ssList(nil)
| ~ ssList(sk8)
| ~ rearsegP(nil,sk8) ),
inference(superposition,[status(thm)],[c_9752,c_375]) ).
tcf(c_12625,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf82(X0))
| ~ rearsegP(nil,skaf82(X0)) ),
inference(superposition,[status(thm)],[c_9766,c_375]) ).
tcf(c_12626,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf81(X0))
| ~ rearsegP(nil,skaf81(X0)) ),
inference(superposition,[status(thm)],[c_9765,c_375]) ).
tcf(c_12627,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf80(X0))
| ~ rearsegP(nil,skaf80(X0)) ),
inference(superposition,[status(thm)],[c_9764,c_375]) ).
tcf(c_12628,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf77(X0))
| ~ rearsegP(nil,skaf77(X0)) ),
inference(superposition,[status(thm)],[c_9763,c_375]) ).
tcf(c_12629,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf76(X0))
| ~ rearsegP(nil,skaf76(X0)) ),
inference(superposition,[status(thm)],[c_9762,c_375]) ).
tcf(c_12630,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf75(X0))
| ~ rearsegP(nil,skaf75(X0)) ),
inference(superposition,[status(thm)],[c_9761,c_375]) ).
tcf(c_12631,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf73(X0))
| ~ rearsegP(nil,skaf73(X0)) ),
inference(superposition,[status(thm)],[c_9760,c_375]) ).
tcf(c_12632,plain,
( ( nil = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_16) ),
inference(superposition,[status(thm)],[c_9751,c_375]) ).
tcf(c_12638,plain,
( ( nil = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_14) ),
inference(superposition,[status(thm)],[c_9745,c_375]) ).
tcf(c_12640,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_12) ),
inference(superposition,[status(thm)],[c_9743,c_375]) ).
tcf(c_12642,plain,
( ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_13) ),
inference(superposition,[status(thm)],[c_9741,c_375]) ).
tcf(c_12643,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf72(X0))
| ~ rearsegP(nil,skaf72(X0)) ),
inference(superposition,[status(thm)],[c_9851,c_375]) ).
tcf(c_12644,plain,
~ rearsegP(nil,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_12642,c_11687,c_9527,c_255]) ).
tcf(c_12645,plain,
~ rearsegP(nil,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_12640,c_10150,c_9489,c_255]) ).
tcf(c_12646,plain,
~ rearsegP(nil,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_12638,c_10149,c_9488,c_255]) ).
tcf(c_12647,plain,
~ rearsegP(nil,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_12632,c_12352,c_9020,c_255]) ).
tcf(c_12648,plain,
( ( sk8 = nil )
| ~ rearsegP(nil,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12624,c_255,c_6482]) ).
tcf(c_12651,plain,
( ( sk7 = nil )
| ~ rearsegP(nil,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12623,c_255,c_6483]) ).
tcf(c_12654,plain,
( ( sk4 = nil )
| ~ rearsegP(nil,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12622,c_255,c_6486]) ).
tcf(c_12657,plain,
( ( sk8 = iPr_def_16 )
| ~ rearsegP(sk8,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12621,c_9020,c_6482]) ).
tcf(c_12660,plain,
( ( iPr_def_14 = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ rearsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12620,c_9488]) ).
tcf(c_12664,plain,
( ( iPr_def_12 = iPr_def_13 )
| ~ rearsegP(iPr_def_12,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12619,c_9527,c_9489]) ).
tcf(c_12668,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ~ rearsegP(nil,skaf72(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12643,c_255,c_270]) ).
tcf(c_12671,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ~ rearsegP(nil,skaf73(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12631,c_255,c_269]) ).
tcf(c_12674,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ~ rearsegP(nil,skaf75(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12630,c_255,c_267]) ).
tcf(c_12677,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ~ rearsegP(nil,skaf76(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12629,c_255,c_266]) ).
tcf(c_12680,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ~ rearsegP(nil,skaf77(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12628,c_255,c_265]) ).
tcf(c_12683,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ~ rearsegP(nil,skaf80(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12627,c_255,c_262]) ).
tcf(c_12686,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ~ rearsegP(nil,skaf81(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12626,c_255,c_261]) ).
tcf(c_12689,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ~ rearsegP(nil,skaf82(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12625,c_255,c_260]) ).
tcf(c_12777,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_307,c_376]) ).
tcf(c_12780,plain,
! [X0: $i,X1: $i] :
( ( app(X0,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(X0,X1)) ),
inference(superposition,[status(thm)],[c_808,c_376]) ).
tcf(c_12781,plain,
( ( sk7 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sk7)
| ~ frontsegP(sk7,iPr_def_13) ),
inference(superposition,[status(thm)],[c_9823,c_376]) ).
tcf(c_12782,plain,
( ( iPr_def_13 = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_13,iPr_def_15) ),
inference(superposition,[status(thm)],[c_9822,c_376]) ).
tcf(c_12783,plain,
( ( iPr_def_15 = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_15)
| ~ frontsegP(iPr_def_15,iPr_def_16) ),
inference(superposition,[status(thm)],[c_10132,c_376]) ).
tcf(c_12788,plain,
( ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ frontsegP(nil,sk4) ),
inference(superposition,[status(thm)],[c_9814,c_376]) ).
tcf(c_12789,plain,
( ( sk7 = nil )
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ frontsegP(nil,sk7) ),
inference(superposition,[status(thm)],[c_9813,c_376]) ).
tcf(c_12790,plain,
( ( sk8 = nil )
| ~ ssList(nil)
| ~ ssList(sk8)
| ~ frontsegP(nil,sk8) ),
inference(superposition,[status(thm)],[c_9812,c_376]) ).
tcf(c_12791,plain,
( ( nil = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_16) ),
inference(superposition,[status(thm)],[c_9811,c_376]) ).
tcf(c_12792,plain,
( ( nil = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_14) ),
inference(superposition,[status(thm)],[c_9810,c_376]) ).
tcf(c_12794,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_12) ),
inference(superposition,[status(thm)],[c_9808,c_376]) ).
tcf(c_12796,plain,
( ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_13) ),
inference(superposition,[status(thm)],[c_9806,c_376]) ).
tcf(c_12798,plain,
~ frontsegP(nil,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_12796,c_11687,c_9527,c_255]) ).
tcf(c_12799,plain,
~ frontsegP(nil,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_12794,c_10150,c_9489,c_255]) ).
tcf(c_12800,plain,
~ frontsegP(nil,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_12792,c_10149,c_9488,c_255]) ).
tcf(c_12801,plain,
~ frontsegP(nil,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_12791,c_12352,c_9020,c_255]) ).
tcf(c_12802,plain,
( ( sk8 = nil )
| ~ frontsegP(nil,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12790,c_255,c_6482]) ).
tcf(c_12805,plain,
( ( sk7 = nil )
| ~ frontsegP(nil,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12789,c_255,c_6483]) ).
tcf(c_12808,plain,
( ( sk4 = nil )
| ~ frontsegP(nil,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12788,c_255,c_6486]) ).
tcf(c_12811,plain,
( ( iPr_def_15 = iPr_def_16 )
| ~ ssList(iPr_def_15)
| ~ frontsegP(iPr_def_15,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12783,c_9020]) ).
tcf(c_12815,plain,
( ( iPr_def_13 = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ frontsegP(iPr_def_13,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12782,c_9527]) ).
tcf(c_12819,plain,
( ( sk7 = iPr_def_13 )
| ~ frontsegP(sk7,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12781,c_9527,c_6483]) ).
tcf(c_12839,plain,
! [X0: $i] :
( cyclefreeP(X0)
| ( skaf50(X0) = skaf49(X0) )
| ~ ssList(X0)
| ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| ~ leq(skaf49(X0),skaf50(X0)) ),
inference(superposition,[status(thm)],[c_334,c_377]) ).
tcf(c_12840,plain,
! [X0: $i] :
( cyclefreeP(X0)
| ( skaf50(X0) = skaf49(X0) )
| ~ ssList(X0)
| ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| ~ leq(skaf50(X0),skaf49(X0)) ),
inference(superposition,[status(thm)],[c_335,c_377]) ).
tcf(c_12841,plain,
! [X0: $i] :
( cyclefreeP(X0)
| ( skaf50(X0) = skaf49(X0) )
| ~ ssList(X0)
| ~ leq(skaf50(X0),skaf49(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12840,c_293,c_292]) ).
tcf(c_12846,plain,
! [X0: $i] :
( cyclefreeP(X0)
| ( skaf50(X0) = skaf49(X0) )
| ~ ssList(X0)
| ~ leq(skaf49(X0),skaf50(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12839,c_293,c_292]) ).
tcf(c_12851,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf71(X0))
| ~ rearsegP(nil,skaf71(X0)) ),
inference(superposition,[status(thm)],[c_10137,c_375]) ).
tcf(c_12852,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ~ rearsegP(nil,skaf71(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12851,c_255,c_271]) ).
tcf(c_12856,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf68(X0))
| ~ rearsegP(nil,skaf68(X0)) ),
inference(superposition,[status(thm)],[c_10474,c_375]) ).
tcf(c_12857,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ~ rearsegP(nil,skaf68(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12856,c_255,c_274]) ).
tcf(c_12861,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf67(X0))
| ~ rearsegP(nil,skaf67(X0)) ),
inference(superposition,[status(thm)],[c_10740,c_375]) ).
tcf(c_12862,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ~ rearsegP(nil,skaf67(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12861,c_255,c_275]) ).
tcf(c_12866,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf66(X0))
| ~ rearsegP(nil,skaf66(X0)) ),
inference(superposition,[status(thm)],[c_11494,c_375]) ).
tcf(c_12867,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ~ rearsegP(nil,skaf66(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12866,c_255,c_276]) ).
tcf(c_12906,plain,
! [X0: $i] :
( frontsegP(skaf61(X0),skaf61(X0))
| ~ ssList(nil)
| ~ ssList(skaf61(X0)) ),
inference(superposition,[status(thm)],[c_9119,c_808]) ).
tcf(c_12907,plain,
! [X0: $i] :
( rearsegP(skaf61(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf61(X0)) ),
inference(superposition,[status(thm)],[c_9119,c_807]) ).
tcf(c_12908,plain,
! [X0: $i] : rearsegP(skaf61(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_12907,c_255,c_281]) ).
tcf(c_12909,plain,
! [X0: $i] : frontsegP(skaf61(X0),skaf61(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_12906,c_255,c_281]) ).
tcf(c_12920,plain,
! [X0: $i] :
( ( app(skaf46(X0,nil),nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_305,c_378]) ).
tcf(c_12921,plain,
! [X0: $i] :
( ( app(skaf46(X0,X0),X0) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_306,c_378]) ).
tcf(c_12922,plain,
( ( app(skaf46(nil,nil),nil) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_555,c_378]) ).
tcf(c_12923,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(app(X0,X1),X1),X1) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_807,c_378]) ).
tcf(c_12924,plain,
( ( app(skaf46(iPr_def_13,iPr_def_12),iPr_def_12) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_9759,c_378]) ).
tcf(c_12925,plain,
( ( app(skaf46(iPr_def_15,iPr_def_14),iPr_def_14) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_9758,c_378]) ).
tcf(c_12926,plain,
( ( app(skaf46(iPr_def_16,sk8),sk8) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_10130,c_378]) ).
tcf(c_12927,plain,
( ( app(skaf46(sk4,nil),nil) = sk4 )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_9754,c_378]) ).
tcf(c_12928,plain,
( ( app(skaf46(sk7,nil),nil) = sk7 )
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_9753,c_378]) ).
tcf(c_12929,plain,
( ( app(skaf46(sk8,nil),nil) = sk8 )
| ~ ssList(nil)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_9752,c_378]) ).
tcf(c_12930,plain,
! [X0: $i] :
( ( app(skaf46(skaf82(X0),nil),nil) = skaf82(X0) )
| ~ ssList(nil)
| ~ ssList(skaf82(X0)) ),
inference(superposition,[status(thm)],[c_9766,c_378]) ).
tcf(c_12931,plain,
! [X0: $i] :
( ( app(skaf46(skaf81(X0),nil),nil) = skaf81(X0) )
| ~ ssList(nil)
| ~ ssList(skaf81(X0)) ),
inference(superposition,[status(thm)],[c_9765,c_378]) ).
tcf(c_12932,plain,
! [X0: $i] :
( ( app(skaf46(skaf80(X0),nil),nil) = skaf80(X0) )
| ~ ssList(nil)
| ~ ssList(skaf80(X0)) ),
inference(superposition,[status(thm)],[c_9764,c_378]) ).
tcf(c_12933,plain,
! [X0: $i] :
( ( app(skaf46(skaf77(X0),nil),nil) = skaf77(X0) )
| ~ ssList(nil)
| ~ ssList(skaf77(X0)) ),
inference(superposition,[status(thm)],[c_9763,c_378]) ).
tcf(c_12934,plain,
! [X0: $i] :
( ( app(skaf46(skaf76(X0),nil),nil) = skaf76(X0) )
| ~ ssList(nil)
| ~ ssList(skaf76(X0)) ),
inference(superposition,[status(thm)],[c_9762,c_378]) ).
tcf(c_12935,plain,
! [X0: $i] :
( ( app(skaf46(skaf75(X0),nil),nil) = skaf75(X0) )
| ~ ssList(nil)
| ~ ssList(skaf75(X0)) ),
inference(superposition,[status(thm)],[c_9761,c_378]) ).
tcf(c_12936,plain,
! [X0: $i] :
( ( app(skaf46(skaf73(X0),nil),nil) = skaf73(X0) )
| ~ ssList(nil)
| ~ ssList(skaf73(X0)) ),
inference(superposition,[status(thm)],[c_9760,c_378]) ).
tcf(c_12937,plain,
( ( app(skaf46(iPr_def_16,nil),nil) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9751,c_378]) ).
tcf(c_12938,plain,
( ( app(skaf46(sk4,sk4),sk4) = sk4 )
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_9750,c_378]) ).
tcf(c_12939,plain,
( ( app(skaf46(sk7,sk7),sk7) = sk7 )
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_9749,c_378]) ).
tcf(c_12940,plain,
( ( app(skaf46(sk8,sk8),sk8) = sk8 )
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_9748,c_378]) ).
tcf(c_12941,plain,
( ( app(skaf46(iPr_def_16,iPr_def_16),iPr_def_16) = iPr_def_16 )
| ~ ssList(iPr_def_16) ),
inference(superposition,[status(thm)],[c_9747,c_378]) ).
tcf(c_12942,plain,
( ( app(skaf46(iPr_def_14,iPr_def_14),iPr_def_14) = iPr_def_14 )
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_9746,c_378]) ).
tcf(c_12943,plain,
( ( app(skaf46(iPr_def_14,nil),nil) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9745,c_378]) ).
tcf(c_12944,plain,
( ( app(skaf46(iPr_def_12,iPr_def_12),iPr_def_12) = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_9744,c_378]) ).
tcf(c_12945,plain,
( ( app(skaf46(iPr_def_12,nil),nil) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9743,c_378]) ).
tcf(c_12946,plain,
( ( app(skaf46(iPr_def_13,iPr_def_13),iPr_def_13) = iPr_def_13 )
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_9742,c_378]) ).
tcf(c_12947,plain,
( ( app(skaf46(iPr_def_13,nil),nil) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9741,c_378]) ).
tcf(c_12948,plain,
! [X0: $i] :
( ( app(skaf46(skaf72(X0),nil),nil) = skaf72(X0) )
| ~ ssList(nil)
| ~ ssList(skaf72(X0)) ),
inference(superposition,[status(thm)],[c_9851,c_378]) ).
tcf(c_12949,plain,
! [X0: $i] :
( ( app(skaf46(skaf71(X0),nil),nil) = skaf71(X0) )
| ~ ssList(nil)
| ~ ssList(skaf71(X0)) ),
inference(superposition,[status(thm)],[c_10137,c_378]) ).
tcf(c_12950,plain,
! [X0: $i] :
( ( app(skaf46(skaf68(X0),nil),nil) = skaf68(X0) )
| ~ ssList(nil)
| ~ ssList(skaf68(X0)) ),
inference(superposition,[status(thm)],[c_10474,c_378]) ).
tcf(c_12951,plain,
! [X0: $i] :
( ( app(skaf46(skaf67(X0),nil),nil) = skaf67(X0) )
| ~ ssList(nil)
| ~ ssList(skaf67(X0)) ),
inference(superposition,[status(thm)],[c_10740,c_378]) ).
tcf(c_12952,plain,
! [X0: $i] :
( ( app(skaf46(skaf66(X0),nil),nil) = skaf66(X0) )
| ~ ssList(nil)
| ~ ssList(skaf66(X0)) ),
inference(superposition,[status(thm)],[c_11494,c_378]) ).
tcf(c_12953,plain,
app(skaf46(iPr_def_13,iPr_def_13),iPr_def_13) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_12946,c_9527]) ).
tcf(c_12954,plain,
app(skaf46(iPr_def_12,iPr_def_12),iPr_def_12) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_12944,c_9489]) ).
tcf(c_12955,plain,
app(skaf46(iPr_def_14,iPr_def_14),iPr_def_14) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_12942,c_9488]) ).
tcf(c_12956,plain,
app(skaf46(iPr_def_16,iPr_def_16),iPr_def_16) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_12941,c_9020]) ).
tcf(c_12957,plain,
app(skaf46(sk8,sk8),sk8) = sk8,
inference(forward_subsumption_resolution,[status(thm)],[c_12940,c_6482]) ).
tcf(c_12958,plain,
app(skaf46(sk7,sk7),sk7) = sk7,
inference(forward_subsumption_resolution,[status(thm)],[c_12939,c_6483]) ).
tcf(c_12959,plain,
app(skaf46(sk4,sk4),sk4) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_12938,c_6486]) ).
tcf(c_12960,plain,
app(skaf46(nil,nil),nil) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_12922,c_255]) ).
tcf(c_12963,plain,
app(skaf46(iPr_def_13,nil),nil) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_12947,c_9527,c_255]) ).
tcf(c_12964,plain,
app(skaf46(iPr_def_12,nil),nil) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_12945,c_9489,c_255]) ).
tcf(c_12965,plain,
app(skaf46(iPr_def_14,nil),nil) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_12943,c_9488,c_255]) ).
tcf(c_12966,plain,
app(skaf46(iPr_def_16,nil),nil) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_12937,c_9020,c_255]) ).
tcf(c_12967,plain,
app(skaf46(sk8,nil),nil) = sk8,
inference(forward_subsumption_resolution,[status(thm)],[c_12929,c_255,c_6482]) ).
tcf(c_12968,plain,
app(skaf46(sk7,nil),nil) = sk7,
inference(forward_subsumption_resolution,[status(thm)],[c_12928,c_255,c_6483]) ).
tcf(c_12969,plain,
app(skaf46(sk4,nil),nil) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_12927,c_255,c_6486]) ).
tcf(c_12970,plain,
app(skaf46(iPr_def_16,sk8),sk8) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_12926,c_9020,c_6482]) ).
tcf(c_12971,plain,
( ( app(skaf46(iPr_def_15,iPr_def_14),iPr_def_14) = iPr_def_15 )
| ~ ssList(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12925,c_9488]) ).
tcf(c_12974,plain,
app(skaf46(iPr_def_13,iPr_def_12),iPr_def_12) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_12924,c_9527,c_9489]) ).
tcf(c_12975,plain,
! [X0: $i] :
( ( app(skaf46(X0,nil),nil) = X0 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12920,c_255]) ).
tcf(c_12978,plain,
! [X0: $i] : app(skaf46(skaf66(X0),nil),nil) = skaf66(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_12952,c_255,c_276]) ).
tcf(c_12979,plain,
! [X0: $i] : app(skaf46(skaf67(X0),nil),nil) = skaf67(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_12951,c_255,c_275]) ).
tcf(c_12980,plain,
! [X0: $i] : app(skaf46(skaf68(X0),nil),nil) = skaf68(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_12950,c_255,c_274]) ).
tcf(c_12981,plain,
! [X0: $i] : app(skaf46(skaf71(X0),nil),nil) = skaf71(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_12949,c_255,c_271]) ).
tcf(c_12982,plain,
! [X0: $i] : app(skaf46(skaf72(X0),nil),nil) = skaf72(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_12948,c_255,c_270]) ).
tcf(c_12983,plain,
! [X0: $i] : app(skaf46(skaf73(X0),nil),nil) = skaf73(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_12936,c_255,c_269]) ).
tcf(c_12984,plain,
! [X0: $i] : app(skaf46(skaf75(X0),nil),nil) = skaf75(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_12935,c_255,c_267]) ).
tcf(c_12985,plain,
! [X0: $i] : app(skaf46(skaf76(X0),nil),nil) = skaf76(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_12934,c_255,c_266]) ).
tcf(c_12986,plain,
! [X0: $i] : app(skaf46(skaf77(X0),nil),nil) = skaf77(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_12933,c_255,c_265]) ).
tcf(c_12987,plain,
! [X0: $i] : app(skaf46(skaf80(X0),nil),nil) = skaf80(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_12932,c_255,c_262]) ).
tcf(c_12988,plain,
! [X0: $i] : app(skaf46(skaf81(X0),nil),nil) = skaf81(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_12931,c_255,c_261]) ).
tcf(c_12989,plain,
! [X0: $i] : app(skaf46(skaf82(X0),nil),nil) = skaf82(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_12930,c_255,c_260]) ).
tcf(c_13122,plain,
! [X0: $i] :
( ( app(nil,skaf45(X0,nil)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_307,c_379]) ).
tcf(c_13123,plain,
! [X0: $i] :
( ( app(X0,skaf45(X0,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_308,c_379]) ).
tcf(c_13124,plain,
( ( app(nil,skaf45(nil,nil)) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_553,c_379]) ).
tcf(c_13125,plain,
! [X0: $i,X1: $i] :
( ( app(X0,skaf45(app(X0,X1),X0)) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_808,c_379]) ).
tcf(c_13126,plain,
( ( app(sk7,skaf45(iPr_def_13,sk7)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_9823,c_379]) ).
tcf(c_13127,plain,
( ( app(iPr_def_13,skaf45(iPr_def_15,iPr_def_13)) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_9822,c_379]) ).
tcf(c_13128,plain,
( ( app(iPr_def_15,skaf45(iPr_def_16,iPr_def_15)) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_15) ),
inference(superposition,[status(thm)],[c_10132,c_379]) ).
tcf(c_13129,plain,
( ( app(sk4,skaf45(sk4,sk4)) = sk4 )
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_9818,c_379]) ).
tcf(c_13130,plain,
( ( app(sk7,skaf45(sk7,sk7)) = sk7 )
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_9817,c_379]) ).
tcf(c_13131,plain,
( ( app(sk8,skaf45(sk8,sk8)) = sk8 )
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_9816,c_379]) ).
tcf(c_13132,plain,
( ( app(iPr_def_16,skaf45(iPr_def_16,iPr_def_16)) = iPr_def_16 )
| ~ ssList(iPr_def_16) ),
inference(superposition,[status(thm)],[c_9815,c_379]) ).
tcf(c_13133,plain,
( ( app(nil,skaf45(sk4,nil)) = sk4 )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_9814,c_379]) ).
tcf(c_13134,plain,
( ( app(nil,skaf45(sk7,nil)) = sk7 )
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_9813,c_379]) ).
tcf(c_13135,plain,
( ( app(nil,skaf45(sk8,nil)) = sk8 )
| ~ ssList(nil)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_9812,c_379]) ).
tcf(c_13136,plain,
( ( app(nil,skaf45(iPr_def_16,nil)) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9811,c_379]) ).
tcf(c_13137,plain,
( ( app(nil,skaf45(iPr_def_14,nil)) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9810,c_379]) ).
tcf(c_13138,plain,
( ( app(iPr_def_14,skaf45(iPr_def_14,iPr_def_14)) = iPr_def_14 )
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_9809,c_379]) ).
tcf(c_13139,plain,
( ( app(nil,skaf45(iPr_def_12,nil)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9808,c_379]) ).
tcf(c_13140,plain,
( ( app(iPr_def_12,skaf45(iPr_def_12,iPr_def_12)) = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_9807,c_379]) ).
tcf(c_13141,plain,
( ( app(nil,skaf45(iPr_def_13,nil)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9806,c_379]) ).
tcf(c_13142,plain,
( ( app(iPr_def_13,skaf45(iPr_def_13,iPr_def_13)) = iPr_def_13 )
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_9805,c_379]) ).
tcf(c_13143,plain,
app(iPr_def_13,skaf45(iPr_def_13,iPr_def_13)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_13142,c_9527]) ).
tcf(c_13144,plain,
app(iPr_def_12,skaf45(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_13140,c_9489]) ).
tcf(c_13145,plain,
app(iPr_def_14,skaf45(iPr_def_14,iPr_def_14)) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_13138,c_9488]) ).
tcf(c_13146,plain,
app(iPr_def_16,skaf45(iPr_def_16,iPr_def_16)) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_13132,c_9020]) ).
tcf(c_13147,plain,
app(sk8,skaf45(sk8,sk8)) = sk8,
inference(forward_subsumption_resolution,[status(thm)],[c_13131,c_6482]) ).
tcf(c_13148,plain,
app(sk7,skaf45(sk7,sk7)) = sk7,
inference(forward_subsumption_resolution,[status(thm)],[c_13130,c_6483]) ).
tcf(c_13149,plain,
app(sk4,skaf45(sk4,sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_13129,c_6486]) ).
tcf(c_13150,plain,
app(nil,skaf45(nil,nil)) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_13124,c_255]) ).
tcf(c_13153,plain,
app(nil,skaf45(iPr_def_13,nil)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_13141,c_9527,c_255]) ).
tcf(c_13154,plain,
app(nil,skaf45(iPr_def_12,nil)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_13139,c_9489,c_255]) ).
tcf(c_13155,plain,
app(nil,skaf45(iPr_def_14,nil)) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_13137,c_9488,c_255]) ).
tcf(c_13156,plain,
app(nil,skaf45(iPr_def_16,nil)) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_13136,c_9020,c_255]) ).
tcf(c_13157,plain,
app(nil,skaf45(sk8,nil)) = sk8,
inference(forward_subsumption_resolution,[status(thm)],[c_13135,c_255,c_6482]) ).
tcf(c_13158,plain,
app(nil,skaf45(sk7,nil)) = sk7,
inference(forward_subsumption_resolution,[status(thm)],[c_13134,c_255,c_6483]) ).
tcf(c_13159,plain,
app(nil,skaf45(sk4,nil)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_13133,c_255,c_6486]) ).
tcf(c_13160,plain,
( ( app(iPr_def_15,skaf45(iPr_def_16,iPr_def_15)) = iPr_def_16 )
| ~ ssList(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13128,c_9020]) ).
tcf(c_13163,plain,
( ( app(iPr_def_13,skaf45(iPr_def_15,iPr_def_13)) = iPr_def_15 )
| ~ ssList(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13127,c_9527]) ).
tcf(c_13166,plain,
app(sk7,skaf45(iPr_def_13,sk7)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_13126,c_9527,c_6483]) ).
tcf(c_13167,plain,
! [X0: $i] :
( ( app(nil,skaf45(X0,nil)) = X0 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13122,c_255]) ).
tcf(c_13267,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_6474,c_383]) ).
tcf(c_13268,plain,
! [X0: $i] :
( rearsegP(iPr_def_15,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_6476,c_383]) ).
tcf(c_13269,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(iPr_def_15)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0) ),
inference(superposition,[status(thm)],[c_6477,c_383]) ).
tcf(c_13270,plain,
! [X0: $i] :
( rearsegP(sk4,X0)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_9101,c_383]) ).
tcf(c_13271,plain,
! [X0: $i] :
( rearsegP(sk7,X0)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_9102,c_383]) ).
tcf(c_13272,plain,
! [X0: $i] :
( rearsegP(sk8,X0)
| ~ ssList(nil)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_9103,c_383]) ).
tcf(c_13273,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf82(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf82(X0)) ),
inference(superposition,[status(thm)],[c_9105,c_383]) ).
tcf(c_13274,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf81(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf81(X0)) ),
inference(superposition,[status(thm)],[c_9106,c_383]) ).
tcf(c_13275,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf80(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf80(X0)) ),
inference(superposition,[status(thm)],[c_9107,c_383]) ).
tcf(c_13276,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf77(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf77(X0)) ),
inference(superposition,[status(thm)],[c_9108,c_383]) ).
tcf(c_13277,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf76(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf76(X0)) ),
inference(superposition,[status(thm)],[c_9109,c_383]) ).
tcf(c_13278,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf75(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf75(X0)) ),
inference(superposition,[status(thm)],[c_9110,c_383]) ).
tcf(c_13279,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf73(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf73(X0)) ),
inference(superposition,[status(thm)],[c_9111,c_383]) ).
tcf(c_13280,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf72(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf72(X0)) ),
inference(superposition,[status(thm)],[c_9112,c_383]) ).
tcf(c_13281,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf71(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf71(X0)) ),
inference(superposition,[status(thm)],[c_9113,c_383]) ).
tcf(c_13282,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf68(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf68(X0)) ),
inference(superposition,[status(thm)],[c_9114,c_383]) ).
tcf(c_13283,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf67(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf67(X0)) ),
inference(superposition,[status(thm)],[c_9115,c_383]) ).
tcf(c_13284,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf66(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf66(X0)) ),
inference(superposition,[status(thm)],[c_9116,c_383]) ).
tcf(c_13285,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf63(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf63(X0)) ),
inference(superposition,[status(thm)],[c_9117,c_383]) ).
tcf(c_13286,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf62(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf62(X0)) ),
inference(superposition,[status(thm)],[c_9118,c_383]) ).
tcf(c_13287,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf61(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf61(X0)) ),
inference(superposition,[status(thm)],[c_9119,c_383]) ).
tcf(c_13288,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_9132,c_383]) ).
tcf(c_13294,plain,
! [X0: $i] :
( rearsegP(iPr_def_14,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_9515,c_383]) ).
tcf(c_13296,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_9518,c_383]) ).
tcf(c_13298,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_9531,c_383]) ).
tcf(c_13299,plain,
! [X0: $i] :
( rearsegP(cons(sk9,sk4),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12358,c_383]) ).
tcf(c_13300,plain,
! [X0: $i] :
( rearsegP(cons(sk9,sk7),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12359,c_383]) ).
tcf(c_13301,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(skaf46(app(X0,X1),X2),X2) = app(X0,X1) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X2)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_383,c_378]) ).
tcf(c_13302,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(X1,X2) = X0 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X2,X0)
| ~ ssList(app(X1,X2))
| ~ rearsegP(X0,app(X1,X2)) ),
inference(superposition,[status(thm)],[c_383,c_375]) ).
tcf(c_13303,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13298,c_9527,c_255]) ).
tcf(c_13307,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13296,c_9489,c_255]) ).
tcf(c_13311,plain,
! [X0: $i] :
( rearsegP(iPr_def_14,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13294,c_9488,c_255]) ).
tcf(c_13315,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13288,c_9020,c_255]) ).
tcf(c_13319,plain,
! [X0: $i] :
( rearsegP(sk8,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13272,c_255,c_6482]) ).
tcf(c_13323,plain,
! [X0: $i] :
( rearsegP(sk7,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13271,c_255,c_6483]) ).
tcf(c_13327,plain,
! [X0: $i] :
( rearsegP(sk4,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13270,c_255,c_6486]) ).
tcf(c_13331,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13269,c_6482]) ).
tcf(c_13336,plain,
! [X0: $i] :
( rearsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13268,c_9488,c_9527]) ).
tcf(c_13340,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13267,c_9489,c_6483]) ).
tcf(c_13344,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf61(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13287,c_255,c_281]) ).
tcf(c_13348,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf62(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13286,c_255,c_280]) ).
tcf(c_13352,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf63(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13285,c_255,c_279]) ).
tcf(c_13356,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf66(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13284,c_255,c_276]) ).
tcf(c_13360,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf67(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13283,c_255,c_275]) ).
tcf(c_13364,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf68(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13282,c_255,c_274]) ).
tcf(c_13368,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf71(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13281,c_255,c_271]) ).
tcf(c_13372,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf72(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13280,c_255,c_270]) ).
tcf(c_13376,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf73(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13279,c_255,c_269]) ).
tcf(c_13380,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf75(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13278,c_255,c_267]) ).
tcf(c_13384,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf76(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13277,c_255,c_266]) ).
tcf(c_13388,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf77(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13276,c_255,c_265]) ).
tcf(c_13392,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf80(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13275,c_255,c_262]) ).
tcf(c_13396,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf81(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13274,c_255,c_261]) ).
tcf(c_13400,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf82(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13273,c_255,c_260]) ).
tcf(c_13404,plain,
! [X0: $i] :
( rearsegP(cons(sk9,sk7),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13300,c_6483]) ).
tcf(c_13409,plain,
! [X0: $i] :
( rearsegP(cons(sk9,sk4),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13299,c_6486]) ).
tcf(c_13482,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(sk7,X0) ),
inference(superposition,[status(thm)],[c_6474,c_384]) ).
tcf(c_13483,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_6476,c_384]) ).
tcf(c_13484,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(iPr_def_15)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_6477,c_384]) ).
tcf(c_13504,plain,
! [X0: $i] :
( frontsegP(sk4,X0)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_9196,c_384]) ).
tcf(c_13505,plain,
! [X0: $i] :
( frontsegP(sk7,X0)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_9197,c_384]) ).
tcf(c_13506,plain,
! [X0: $i] :
( frontsegP(sk8,X0)
| ~ ssList(nil)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_9198,c_384]) ).
tcf(c_13507,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_9227,c_384]) ).
tcf(c_13508,plain,
! [X0: $i] :
( frontsegP(iPr_def_14,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_9514,c_384]) ).
tcf(c_13510,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_9517,c_384]) ).
tcf(c_13512,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_9530,c_384]) ).
tcf(c_13514,plain,
! [X0: $i] :
( frontsegP(cons(sk9,sk4),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ frontsegP(cons(sk9,nil),X0) ),
inference(superposition,[status(thm)],[c_12358,c_384]) ).
tcf(c_13515,plain,
! [X0: $i] :
( frontsegP(cons(sk9,sk7),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ frontsegP(cons(sk9,nil),X0) ),
inference(superposition,[status(thm)],[c_12359,c_384]) ).
tcf(c_13516,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(X2,skaf45(app(X0,X1),X2)) = app(X0,X1) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X2)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_384,c_379]) ).
tcf(c_13517,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(X1,X2) = X0 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ ssList(app(X1,X2))
| ~ frontsegP(X0,app(X1,X2)) ),
inference(superposition,[status(thm)],[c_384,c_376]) ).
tcf(c_13518,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13512,c_9527,c_255]) ).
tcf(c_13522,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13510,c_9489,c_255]) ).
tcf(c_13526,plain,
! [X0: $i] :
( frontsegP(iPr_def_14,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13508,c_9488,c_255]) ).
tcf(c_13530,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13507,c_9020,c_255]) ).
tcf(c_13534,plain,
! [X0: $i] :
( frontsegP(sk8,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13506,c_255,c_6482]) ).
tcf(c_13538,plain,
! [X0: $i] :
( frontsegP(sk7,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13505,c_255,c_6483]) ).
tcf(c_13542,plain,
! [X0: $i] :
( frontsegP(sk4,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13504,c_255,c_6486]) ).
tcf(c_13546,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13484,c_6482]) ).
tcf(c_13551,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13483,c_9488,c_9527]) ).
tcf(c_13555,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ frontsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13482,c_9489,c_6483]) ).
tcf(c_13559,plain,
! [X0: $i] :
( frontsegP(cons(sk9,sk7),X0)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ frontsegP(cons(sk9,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13515,c_6483]) ).
tcf(c_13564,plain,
! [X0: $i] :
( frontsegP(cons(sk9,sk4),X0)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ frontsegP(cons(sk9,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13514,c_6486]) ).
tcf(c_13586,plain,
! [X0: $i] :
( ( app(skaf46(skaf63(X0),nil),nil) = skaf63(X0) )
| ~ ssList(nil)
| ~ ssList(skaf63(X0)) ),
inference(superposition,[status(thm)],[c_11809,c_378]) ).
tcf(c_13587,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf63(X0))
| ~ rearsegP(nil,skaf63(X0)) ),
inference(superposition,[status(thm)],[c_11809,c_375]) ).
tcf(c_13588,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ~ rearsegP(nil,skaf63(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13587,c_255,c_279]) ).
tcf(c_13591,plain,
! [X0: $i] : app(skaf46(skaf63(X0),nil),nil) = skaf63(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_13586,c_255,c_279]) ).
tcf(c_13594,plain,
! [X0: $i] :
( ( app(skaf46(skaf62(X0),nil),nil) = skaf62(X0) )
| ~ ssList(nil)
| ~ ssList(skaf62(X0)) ),
inference(superposition,[status(thm)],[c_12587,c_378]) ).
tcf(c_13595,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf62(X0))
| ~ rearsegP(nil,skaf62(X0)) ),
inference(superposition,[status(thm)],[c_12587,c_375]) ).
tcf(c_13596,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ~ rearsegP(nil,skaf62(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13595,c_255,c_280]) ).
tcf(c_13599,plain,
! [X0: $i] : app(skaf46(skaf62(X0),nil),nil) = skaf62(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_13594,c_255,c_280]) ).
tcf(c_13604,plain,
( ( skaf46(sk8,sk8) = nil )
| ~ ssList(sk8)
| ~ ssList(skaf46(sk8,sk8))
| ( sk8 != nil ) ),
inference(superposition,[status(thm)],[c_12957,c_365]) ).
tcf(c_13605,plain,
( frontsegP(sk8,skaf46(sk8,sk8))
| ~ ssList(sk8)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_12957,c_808]) ).
tcf(c_13608,plain,
! [X0: $i] :
( frontsegP(sk8,X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(sk8,sk8))
| ~ frontsegP(skaf46(sk8,sk8),X0) ),
inference(superposition,[status(thm)],[c_12957,c_384]) ).
tcf(c_13609,plain,
frontsegP(sk8,skaf46(sk8,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_13605,c_6482,c_297]) ).
tcf(c_13610,plain,
( ( skaf46(sk8,sk8) = nil )
| ( sk8 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13604,c_6482,c_297]) ).
tcf(c_13613,plain,
! [X0: $i] :
( frontsegP(sk8,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(sk8,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13608,c_6482,c_297]) ).
tcf(c_13617,plain,
( ( app(skaf46(sk8,sk8),skaf45(sk8,skaf46(sk8,sk8))) = sk8 )
| ~ ssList(sk8)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_13609,c_379]) ).
tcf(c_13618,plain,
( ( skaf46(sk8,sk8) = sk8 )
| ~ ssList(sk8)
| ~ ssList(skaf46(sk8,sk8))
| ~ frontsegP(skaf46(sk8,sk8),sk8) ),
inference(superposition,[status(thm)],[c_13609,c_376]) ).
tcf(c_13619,plain,
( ( skaf46(sk8,sk8) = sk8 )
| ~ frontsegP(skaf46(sk8,sk8),sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13618,c_6482,c_297]) ).
tcf(c_13622,plain,
app(skaf46(sk8,sk8),skaf45(sk8,skaf46(sk8,sk8))) = sk8,
inference(forward_subsumption_resolution,[status(thm)],[c_13617,c_6482,c_297]) ).
tcf(c_13625,plain,
( ( skaf46(sk7,sk7) = nil )
| ~ ssList(sk7)
| ~ ssList(skaf46(sk7,sk7))
| ( sk7 != nil ) ),
inference(superposition,[status(thm)],[c_12958,c_365]) ).
tcf(c_13626,plain,
( frontsegP(sk7,skaf46(sk7,sk7))
| ~ ssList(sk7)
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_12958,c_808]) ).
tcf(c_13629,plain,
! [X0: $i] :
( frontsegP(sk7,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(sk7,sk7))
| ~ frontsegP(skaf46(sk7,sk7),X0) ),
inference(superposition,[status(thm)],[c_12958,c_384]) ).
tcf(c_13630,plain,
frontsegP(sk7,skaf46(sk7,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_13626,c_6483,c_297]) ).
tcf(c_13631,plain,
( ( skaf46(sk7,sk7) = nil )
| ( sk7 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13625,c_6483,c_297]) ).
tcf(c_13634,plain,
! [X0: $i] :
( frontsegP(sk7,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(sk7,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13629,c_6483,c_297]) ).
tcf(c_13638,plain,
( ( app(skaf46(sk7,sk7),skaf45(sk7,skaf46(sk7,sk7))) = sk7 )
| ~ ssList(sk7)
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_13630,c_379]) ).
tcf(c_13639,plain,
( ( skaf46(sk7,sk7) = sk7 )
| ~ ssList(sk7)
| ~ ssList(skaf46(sk7,sk7))
| ~ frontsegP(skaf46(sk7,sk7),sk7) ),
inference(superposition,[status(thm)],[c_13630,c_376]) ).
tcf(c_13640,plain,
( ( skaf46(sk7,sk7) = sk7 )
| ~ frontsegP(skaf46(sk7,sk7),sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13639,c_6483,c_297]) ).
tcf(c_13643,plain,
app(skaf46(sk7,sk7),skaf45(sk7,skaf46(sk7,sk7))) = sk7,
inference(forward_subsumption_resolution,[status(thm)],[c_13638,c_6483,c_297]) ).
tcf(c_13646,plain,
( ( skaf46(sk4,sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(skaf46(sk4,sk4))
| ( sk4 != nil ) ),
inference(superposition,[status(thm)],[c_12959,c_365]) ).
tcf(c_13647,plain,
( frontsegP(sk4,skaf46(sk4,sk4))
| ~ ssList(sk4)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_12959,c_808]) ).
tcf(c_13650,plain,
! [X0: $i] :
( frontsegP(sk4,X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,sk4))
| ~ frontsegP(skaf46(sk4,sk4),X0) ),
inference(superposition,[status(thm)],[c_12959,c_384]) ).
tcf(c_13651,plain,
frontsegP(sk4,skaf46(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_13647,c_6486,c_297]) ).
tcf(c_13652,plain,
( ( skaf46(sk4,sk4) = nil )
| ( sk4 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13646,c_6486,c_297]) ).
tcf(c_13655,plain,
! [X0: $i] :
( frontsegP(sk4,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(sk4,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13650,c_6486,c_297]) ).
tcf(c_13699,plain,
( ( app(skaf46(sk4,sk4),skaf45(sk4,skaf46(sk4,sk4))) = sk4 )
| ~ ssList(sk4)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_13651,c_379]) ).
tcf(c_13700,plain,
( ( skaf46(sk4,sk4) = sk4 )
| ~ ssList(sk4)
| ~ ssList(skaf46(sk4,sk4))
| ~ frontsegP(skaf46(sk4,sk4),sk4) ),
inference(superposition,[status(thm)],[c_13651,c_376]) ).
tcf(c_13701,plain,
( ( skaf46(sk4,sk4) = sk4 )
| ~ frontsegP(skaf46(sk4,sk4),sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13700,c_6486,c_297]) ).
tcf(c_13704,plain,
app(skaf46(sk4,sk4),skaf45(sk4,skaf46(sk4,sk4))) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_13699,c_6486,c_297]) ).
tcf(c_13705,plain,
skaf46(sk8,nil) = sk8,
inference(demodulation,[status(thm)],[c_12967,c_9128]) ).
tcf(c_13708,plain,
skaf46(sk7,nil) = sk7,
inference(demodulation,[status(thm)],[c_12968,c_9128]) ).
tcf(c_13714,plain,
! [X0: $i] :
( frontsegP(skaf58(X0),skaf58(X0))
| ~ ssList(nil)
| ~ ssList(skaf58(X0)) ),
inference(superposition,[status(thm)],[c_9120,c_808]) ).
tcf(c_13715,plain,
! [X0: $i] :
( rearsegP(skaf58(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf58(X0)) ),
inference(superposition,[status(thm)],[c_9120,c_807]) ).
tcf(c_13716,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf58(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf58(X0)) ),
inference(superposition,[status(thm)],[c_9120,c_383]) ).
tcf(c_13718,plain,
! [X0: $i] : rearsegP(skaf58(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13715,c_255,c_284]) ).
tcf(c_13719,plain,
! [X0: $i] : frontsegP(skaf58(X0),skaf58(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_13714,c_255,c_284]) ).
tcf(c_13720,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf58(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13716,c_255,c_284]) ).
tcf(c_13738,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( sk4 = nil )
| ~ ssItem(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ memberP(tl(sk4),X0) ),
inference(superposition,[status(thm)],[c_10766,c_386]) ).
tcf(c_13739,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ( sk7 = nil )
| ~ ssItem(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ memberP(tl(sk7),X0) ),
inference(superposition,[status(thm)],[c_10767,c_386]) ).
tcf(c_13740,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ( sk8 = nil )
| ~ ssItem(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ memberP(tl(sk8),X0) ),
inference(superposition,[status(thm)],[c_10768,c_386]) ).
tcf(c_13741,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( sk4 = nil )
| ~ ssItem(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ memberP(skaf82(sk4),X0) ),
inference(superposition,[status(thm)],[c_10982,c_386]) ).
tcf(c_13742,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ( sk7 = nil )
| ~ ssItem(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ memberP(skaf82(sk7),X0) ),
inference(superposition,[status(thm)],[c_10983,c_386]) ).
tcf(c_13743,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ( sk8 = nil )
| ~ ssItem(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ memberP(skaf82(sk8),X0) ),
inference(superposition,[status(thm)],[c_10984,c_386]) ).
tcf(c_13744,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ( sk8 = nil )
| ~ ssItem(X0)
| ~ memberP(skaf82(sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13743,c_259,c_260]) ).
tcf(c_13749,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ( sk7 = nil )
| ~ ssItem(X0)
| ~ memberP(skaf82(sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13742,c_259,c_260]) ).
tcf(c_13754,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( sk4 = nil )
| ~ ssItem(X0)
| ~ memberP(skaf82(sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13741,c_259,c_260]) ).
tcf(c_13794,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(superposition,[status(thm)],[c_6474,c_387]) ).
tcf(c_13795,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_6476,c_387]) ).
tcf(c_13796,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssList(iPr_def_15)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_6477,c_387]) ).
tcf(c_13827,plain,
! [X0: $i] :
( memberP(cons(sk9,sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(cons(sk9,nil))
| ~ memberP(cons(sk9,nil),X0) ),
inference(superposition,[status(thm)],[c_12358,c_387]) ).
tcf(c_13828,plain,
! [X0: $i] :
( memberP(cons(sk9,sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(cons(sk9,nil))
| ~ memberP(cons(sk9,nil),X0) ),
inference(superposition,[status(thm)],[c_12359,c_387]) ).
tcf(c_13829,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(skaf46(sk4,sk4))
| ~ memberP(skaf46(sk4,sk4),X0) ),
inference(superposition,[status(thm)],[c_12959,c_387]) ).
tcf(c_13830,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf46(sk7,sk7))
| ~ memberP(skaf46(sk7,sk7),X0) ),
inference(superposition,[status(thm)],[c_12958,c_387]) ).
tcf(c_13831,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(skaf46(sk8,sk8))
| ~ memberP(skaf46(sk8,sk8),X0) ),
inference(superposition,[status(thm)],[c_12957,c_387]) ).
tcf(c_13832,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssList(iPr_def_15)
| ~ ssItem(X0)
| ~ memberP(iPr_def_15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13796,c_6482]) ).
tcf(c_13837,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13795,c_9488,c_9527]) ).
tcf(c_13841,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13794,c_9489,c_6483]) ).
tcf(c_13845,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(sk8,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13831,c_6482,c_297]) ).
tcf(c_13849,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(sk7,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13830,c_6483,c_297]) ).
tcf(c_13853,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(sk4,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13829,c_6486,c_297]) ).
tcf(c_13857,plain,
! [X0: $i] :
( memberP(cons(sk9,sk7),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk9,nil))
| ~ memberP(cons(sk9,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13828,c_6483]) ).
tcf(c_13862,plain,
! [X0: $i] :
( memberP(cons(sk9,sk4),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk9,nil))
| ~ memberP(cons(sk9,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13827,c_6486]) ).
tcf(c_13886,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_6474,c_388]) ).
tcf(c_13887,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_6476,c_388]) ).
tcf(c_13888,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssList(iPr_def_15)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(superposition,[status(thm)],[c_6477,c_388]) ).
tcf(c_13892,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf82(X0)) ),
inference(superposition,[status(thm)],[c_9105,c_388]) ).
tcf(c_13893,plain,
! [X0: $i,X1: $i] :
( memberP(skaf81(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf81(X0)) ),
inference(superposition,[status(thm)],[c_9106,c_388]) ).
tcf(c_13894,plain,
! [X0: $i,X1: $i] :
( memberP(skaf80(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf80(X0)) ),
inference(superposition,[status(thm)],[c_9107,c_388]) ).
tcf(c_13895,plain,
! [X0: $i,X1: $i] :
( memberP(skaf77(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf77(X0)) ),
inference(superposition,[status(thm)],[c_9108,c_388]) ).
tcf(c_13896,plain,
! [X0: $i,X1: $i] :
( memberP(skaf76(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf76(X0)) ),
inference(superposition,[status(thm)],[c_9109,c_388]) ).
tcf(c_13897,plain,
! [X0: $i,X1: $i] :
( memberP(skaf75(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf75(X0)) ),
inference(superposition,[status(thm)],[c_9110,c_388]) ).
tcf(c_13898,plain,
! [X0: $i,X1: $i] :
( memberP(skaf73(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf73(X0)) ),
inference(superposition,[status(thm)],[c_9111,c_388]) ).
tcf(c_13899,plain,
! [X0: $i,X1: $i] :
( memberP(skaf72(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf72(X0)) ),
inference(superposition,[status(thm)],[c_9112,c_388]) ).
tcf(c_13900,plain,
! [X0: $i,X1: $i] :
( memberP(skaf71(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf71(X0)) ),
inference(superposition,[status(thm)],[c_9113,c_388]) ).
tcf(c_13901,plain,
! [X0: $i,X1: $i] :
( memberP(skaf68(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf68(X0)) ),
inference(superposition,[status(thm)],[c_9114,c_388]) ).
tcf(c_13902,plain,
! [X0: $i,X1: $i] :
( memberP(skaf67(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf67(X0)) ),
inference(superposition,[status(thm)],[c_9115,c_388]) ).
tcf(c_13903,plain,
! [X0: $i,X1: $i] :
( memberP(skaf66(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf66(X0)) ),
inference(superposition,[status(thm)],[c_9116,c_388]) ).
tcf(c_13904,plain,
! [X0: $i,X1: $i] :
( memberP(skaf63(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf63(X0)) ),
inference(superposition,[status(thm)],[c_9117,c_388]) ).
tcf(c_13905,plain,
! [X0: $i,X1: $i] :
( memberP(skaf62(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf62(X0)) ),
inference(superposition,[status(thm)],[c_9118,c_388]) ).
tcf(c_13906,plain,
! [X0: $i,X1: $i] :
( memberP(skaf61(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf61(X0)) ),
inference(superposition,[status(thm)],[c_9119,c_388]) ).
tcf(c_13907,plain,
! [X0: $i,X1: $i] :
( memberP(skaf58(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf58(X0)) ),
inference(superposition,[status(thm)],[c_9120,c_388]) ).
tcf(c_13919,plain,
! [X0: $i] :
( memberP(cons(sk9,sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12358,c_388]) ).
tcf(c_13920,plain,
! [X0: $i] :
( memberP(cons(sk9,sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12359,c_388]) ).
tcf(c_13924,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssList(iPr_def_15)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13888,c_6482]) ).
tcf(c_13929,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13887,c_9488,c_9527]) ).
tcf(c_13933,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13886,c_9489,c_6483]) ).
tcf(c_13953,plain,
! [X0: $i] :
( memberP(cons(sk9,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13920,c_6483]) ).
tcf(c_13958,plain,
! [X0: $i] :
( memberP(cons(sk9,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13919,c_6486]) ).
tcf(c_13981,plain,
( lt(hd(sk4),hd(tl(sk4)))
| ( sk4 = nil )
| ( tl(sk4) = nil )
| ~ strictorderedP(sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_10766,c_381]) ).
tcf(c_13982,plain,
( lt(hd(sk7),hd(tl(sk7)))
| ( sk7 = nil )
| ( tl(sk7) = nil )
| ~ strictorderedP(sk7)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7)) ),
inference(superposition,[status(thm)],[c_10767,c_381]) ).
tcf(c_13983,plain,
( lt(hd(sk8),hd(tl(sk8)))
| ( sk8 = nil )
| ( tl(sk8) = nil )
| ~ strictorderedP(sk8)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8)) ),
inference(superposition,[status(thm)],[c_10768,c_381]) ).
tcf(c_13984,plain,
( lt(skaf83(sk4),hd(skaf82(sk4)))
| ( sk4 = nil )
| ( skaf82(sk4) = nil )
| ~ strictorderedP(sk4)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4)) ),
inference(superposition,[status(thm)],[c_10982,c_381]) ).
tcf(c_13985,plain,
( lt(skaf83(sk7),hd(skaf82(sk7)))
| ( sk7 = nil )
| ( skaf82(sk7) = nil )
| ~ strictorderedP(sk7)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7)) ),
inference(superposition,[status(thm)],[c_10983,c_381]) ).
tcf(c_13986,plain,
( lt(skaf83(sk8),hd(skaf82(sk8)))
| ( sk8 = nil )
| ( skaf82(sk8) = nil )
| ~ strictorderedP(sk8)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8)) ),
inference(superposition,[status(thm)],[c_10984,c_381]) ).
tcf(c_13987,plain,
( lt(skaf83(sk8),hd(skaf82(sk8)))
| ( sk8 = nil )
| ( skaf82(sk8) = nil )
| ~ strictorderedP(sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13986,c_259,c_260]) ).
tcf(c_13992,plain,
( lt(skaf83(sk7),hd(skaf82(sk7)))
| ( sk7 = nil )
| ( skaf82(sk7) = nil )
| ~ strictorderedP(sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13985,c_259,c_260]) ).
tcf(c_13997,plain,
( lt(skaf83(sk4),hd(skaf82(sk4)))
| ( sk4 = nil )
| ( skaf82(sk4) = nil )
| ~ strictorderedP(sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13984,c_259,c_260]) ).
tcf(c_14060,plain,
skaf46(sk4,nil) = sk4,
inference(demodulation,[status(thm)],[c_12969,c_9128]) ).
tcf(c_14066,plain,
( frontsegP(iPr_def_16,skaf46(iPr_def_16,sk8))
| ~ ssList(sk8)
| ~ ssList(skaf46(iPr_def_16,sk8)) ),
inference(superposition,[status(thm)],[c_12970,c_808]) ).
tcf(c_14068,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(skaf46(iPr_def_16,sk8)) ),
inference(superposition,[status(thm)],[c_12970,c_388]) ).
tcf(c_14069,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(skaf46(iPr_def_16,sk8)) ),
inference(superposition,[status(thm)],[c_12970,c_383]) ).
tcf(c_14070,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(skaf46(iPr_def_16,sk8))
| ~ memberP(skaf46(iPr_def_16,sk8),X0) ),
inference(superposition,[status(thm)],[c_12970,c_387]) ).
tcf(c_14071,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_16,sk8))
| ~ frontsegP(skaf46(iPr_def_16,sk8),X0) ),
inference(superposition,[status(thm)],[c_12970,c_384]) ).
tcf(c_14072,plain,
frontsegP(iPr_def_16,skaf46(iPr_def_16,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_14066,c_6482,c_297]) ).
tcf(c_14073,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14069,c_6482,c_297]) ).
tcf(c_14077,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14068,c_6482,c_297]) ).
tcf(c_14081,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(iPr_def_16,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14071,c_6482,c_297]) ).
tcf(c_14085,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(iPr_def_16,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14070,c_6482,c_297]) ).
tcf(c_14091,plain,
( ( app(skaf46(iPr_def_16,sk8),skaf45(iPr_def_16,skaf46(iPr_def_16,sk8))) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf46(iPr_def_16,sk8)) ),
inference(superposition,[status(thm)],[c_14072,c_379]) ).
tcf(c_14092,plain,
( ( skaf46(iPr_def_16,sk8) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf46(iPr_def_16,sk8))
| ~ frontsegP(skaf46(iPr_def_16,sk8),iPr_def_16) ),
inference(superposition,[status(thm)],[c_14072,c_376]) ).
tcf(c_14093,plain,
( ( skaf46(iPr_def_16,sk8) = iPr_def_16 )
| ~ frontsegP(skaf46(iPr_def_16,sk8),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14092,c_9020,c_297]) ).
tcf(c_14096,plain,
app(skaf46(iPr_def_16,sk8),skaf45(iPr_def_16,skaf46(iPr_def_16,sk8))) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_14091,c_9020,c_297]) ).
tcf(c_14098,plain,
( ( skaf45(sk8,sk8) = nil )
| ~ ssList(sk8)
| ~ ssList(skaf45(sk8,sk8))
| ( sk8 != nil ) ),
inference(superposition,[status(thm)],[c_13147,c_366]) ).
tcf(c_14101,plain,
( rearsegP(sk8,skaf45(sk8,sk8))
| ~ ssList(sk8)
| ~ ssList(skaf45(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_13147,c_807]) ).
tcf(c_14102,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(skaf45(sk8,sk8))
| ~ memberP(skaf45(sk8,sk8),X0) ),
inference(superposition,[status(thm)],[c_13147,c_388]) ).
tcf(c_14103,plain,
! [X0: $i] :
( rearsegP(sk8,X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(sk8,sk8))
| ~ rearsegP(skaf45(sk8,sk8),X0) ),
inference(superposition,[status(thm)],[c_13147,c_383]) ).
tcf(c_14106,plain,
rearsegP(sk8,skaf45(sk8,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_14101,c_6482,c_298]) ).
tcf(c_14107,plain,
( ( skaf45(sk8,sk8) = nil )
| ( sk8 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14098,c_6482,c_298]) ).
tcf(c_14110,plain,
! [X0: $i] :
( rearsegP(sk8,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(sk8,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14103,c_6482,c_298]) ).
tcf(c_14114,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(sk8,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14102,c_6482,c_298]) ).
tcf(c_14119,plain,
( ( app(skaf46(sk8,skaf45(sk8,sk8)),skaf45(sk8,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(skaf45(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_14106,c_378]) ).
tcf(c_14120,plain,
( ( skaf45(sk8,sk8) = sk8 )
| ~ ssList(sk8)
| ~ ssList(skaf45(sk8,sk8))
| ~ rearsegP(skaf45(sk8,sk8),sk8) ),
inference(superposition,[status(thm)],[c_14106,c_375]) ).
tcf(c_14121,plain,
( ( skaf45(sk8,sk8) = sk8 )
| ~ rearsegP(skaf45(sk8,sk8),sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14120,c_6482,c_298]) ).
tcf(c_14124,plain,
app(skaf46(sk8,skaf45(sk8,sk8)),skaf45(sk8,sk8)) = sk8,
inference(forward_subsumption_resolution,[status(thm)],[c_14119,c_6482,c_298]) ).
tcf(c_14126,plain,
( ( skaf45(sk7,sk7) = nil )
| ~ ssList(sk7)
| ~ ssList(skaf45(sk7,sk7))
| ( sk7 != nil ) ),
inference(superposition,[status(thm)],[c_13148,c_366]) ).
tcf(c_14129,plain,
( rearsegP(sk7,skaf45(sk7,sk7))
| ~ ssList(sk7)
| ~ ssList(skaf45(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_13148,c_807]) ).
tcf(c_14130,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf45(sk7,sk7))
| ~ memberP(skaf45(sk7,sk7),X0) ),
inference(superposition,[status(thm)],[c_13148,c_388]) ).
tcf(c_14131,plain,
! [X0: $i] :
( rearsegP(sk7,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(sk7,sk7))
| ~ rearsegP(skaf45(sk7,sk7),X0) ),
inference(superposition,[status(thm)],[c_13148,c_383]) ).
tcf(c_14134,plain,
rearsegP(sk7,skaf45(sk7,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_14129,c_6483,c_298]) ).
tcf(c_14135,plain,
( ( skaf45(sk7,sk7) = nil )
| ( sk7 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14126,c_6483,c_298]) ).
tcf(c_14138,plain,
! [X0: $i] :
( rearsegP(sk7,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(sk7,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14131,c_6483,c_298]) ).
tcf(c_14142,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(sk7,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14130,c_6483,c_298]) ).
tcf(c_14161,plain,
( ( app(skaf46(sk7,skaf45(sk7,sk7)),skaf45(sk7,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(skaf45(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_14134,c_378]) ).
tcf(c_14162,plain,
( ( skaf45(sk7,sk7) = sk7 )
| ~ ssList(sk7)
| ~ ssList(skaf45(sk7,sk7))
| ~ rearsegP(skaf45(sk7,sk7),sk7) ),
inference(superposition,[status(thm)],[c_14134,c_375]) ).
tcf(c_14163,plain,
( ( skaf45(sk7,sk7) = sk7 )
| ~ rearsegP(skaf45(sk7,sk7),sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14162,c_6483,c_298]) ).
tcf(c_14166,plain,
app(skaf46(sk7,skaf45(sk7,sk7)),skaf45(sk7,sk7)) = sk7,
inference(forward_subsumption_resolution,[status(thm)],[c_14161,c_6483,c_298]) ).
tcf(c_14168,plain,
( ( skaf45(sk4,sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(skaf45(sk4,sk4))
| ( sk4 != nil ) ),
inference(superposition,[status(thm)],[c_13149,c_366]) ).
tcf(c_14171,plain,
( rearsegP(sk4,skaf45(sk4,sk4))
| ~ ssList(sk4)
| ~ ssList(skaf45(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_13149,c_807]) ).
tcf(c_14172,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(skaf45(sk4,sk4))
| ~ memberP(skaf45(sk4,sk4),X0) ),
inference(superposition,[status(thm)],[c_13149,c_388]) ).
tcf(c_14173,plain,
! [X0: $i] :
( rearsegP(sk4,X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(sk4,sk4))
| ~ rearsegP(skaf45(sk4,sk4),X0) ),
inference(superposition,[status(thm)],[c_13149,c_383]) ).
tcf(c_14176,plain,
rearsegP(sk4,skaf45(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_14171,c_6486,c_298]) ).
tcf(c_14177,plain,
( ( skaf45(sk4,sk4) = nil )
| ( sk4 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14168,c_6486,c_298]) ).
tcf(c_14180,plain,
! [X0: $i] :
( rearsegP(sk4,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(sk4,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14173,c_6486,c_298]) ).
tcf(c_14184,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(sk4,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14172,c_6486,c_298]) ).
tcf(c_14303,plain,
! [X0: $i] :
( frontsegP(skaf57(X0),skaf57(X0))
| ~ ssList(nil)
| ~ ssList(skaf57(X0)) ),
inference(superposition,[status(thm)],[c_9121,c_808]) ).
tcf(c_14304,plain,
! [X0: $i] :
( rearsegP(skaf57(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf57(X0)) ),
inference(superposition,[status(thm)],[c_9121,c_807]) ).
tcf(c_14305,plain,
! [X0: $i,X1: $i] :
( memberP(skaf57(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf57(X0)) ),
inference(superposition,[status(thm)],[c_9121,c_388]) ).
tcf(c_14306,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf57(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf57(X0)) ),
inference(superposition,[status(thm)],[c_9121,c_383]) ).
tcf(c_14309,plain,
! [X0: $i] : rearsegP(skaf57(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_14304,c_255,c_285]) ).
tcf(c_14310,plain,
! [X0: $i] : frontsegP(skaf57(X0),skaf57(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_14303,c_255,c_285]) ).
tcf(c_14311,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf57(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14306,c_255,c_285]) ).
tcf(c_14331,plain,
( leq(hd(sk4),hd(tl(sk4)))
| ( sk4 = nil )
| ( tl(sk4) = nil )
| ~ totalorderedP(sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_10766,c_382]) ).
tcf(c_14332,plain,
( leq(hd(sk7),hd(tl(sk7)))
| ( sk7 = nil )
| ( tl(sk7) = nil )
| ~ totalorderedP(sk7)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7)) ),
inference(superposition,[status(thm)],[c_10767,c_382]) ).
tcf(c_14333,plain,
( leq(hd(sk8),hd(tl(sk8)))
| ( sk8 = nil )
| ( tl(sk8) = nil )
| ~ totalorderedP(sk8)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8)) ),
inference(superposition,[status(thm)],[c_10768,c_382]) ).
tcf(c_14334,plain,
( leq(skaf83(sk4),hd(skaf82(sk4)))
| ( sk4 = nil )
| ( skaf82(sk4) = nil )
| ~ totalorderedP(sk4)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4)) ),
inference(superposition,[status(thm)],[c_10982,c_382]) ).
tcf(c_14335,plain,
( leq(skaf83(sk7),hd(skaf82(sk7)))
| ( sk7 = nil )
| ( skaf82(sk7) = nil )
| ~ totalorderedP(sk7)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7)) ),
inference(superposition,[status(thm)],[c_10983,c_382]) ).
tcf(c_14336,plain,
( leq(skaf83(sk8),hd(skaf82(sk8)))
| ( sk8 = nil )
| ( skaf82(sk8) = nil )
| ~ totalorderedP(sk8)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8)) ),
inference(superposition,[status(thm)],[c_10984,c_382]) ).
tcf(c_14337,plain,
( leq(skaf83(sk8),hd(skaf82(sk8)))
| ( sk8 = nil )
| ( skaf82(sk8) = nil )
| ~ totalorderedP(sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14336,c_259,c_260]) ).
tcf(c_14342,plain,
( leq(skaf83(sk7),hd(skaf82(sk7)))
| ( sk7 = nil )
| ( skaf82(sk7) = nil )
| ~ totalorderedP(sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14335,c_259,c_260]) ).
tcf(c_14347,plain,
( leq(skaf83(sk4),hd(skaf82(sk4)))
| ( sk4 = nil )
| ( skaf82(sk4) = nil )
| ~ totalorderedP(sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14334,c_259,c_260]) ).
tcf(c_14376,plain,
( equalelemsP(sk4)
| ( app(skaf80(sk4),cons(skaf78(sk4),cons(skaf79(sk4),skaf81(sk4)))) = sk4 ) ),
inference(superposition,[status(thm)],[c_6486,c_389]) ).
tcf(c_14377,plain,
( equalelemsP(sk7)
| ( app(skaf80(sk7),cons(skaf78(sk7),cons(skaf79(sk7),skaf81(sk7)))) = sk7 ) ),
inference(superposition,[status(thm)],[c_6483,c_389]) ).
tcf(c_14378,plain,
( equalelemsP(sk8)
| ( app(skaf80(sk8),cons(skaf78(sk8),cons(skaf79(sk8),skaf81(sk8)))) = sk8 ) ),
inference(superposition,[status(thm)],[c_6482,c_389]) ).
tcf(c_14380,plain,
! [X0: $i] :
( equalelemsP(skaf82(X0))
| ( app(skaf80(skaf82(X0)),cons(skaf78(skaf82(X0)),cons(skaf79(skaf82(X0)),skaf81(skaf82(X0))))) = skaf82(X0) ) ),
inference(superposition,[status(thm)],[c_260,c_389]) ).
tcf(c_14381,plain,
! [X0: $i] :
( equalelemsP(skaf81(X0))
| ( app(skaf80(skaf81(X0)),cons(skaf78(skaf81(X0)),cons(skaf79(skaf81(X0)),skaf81(skaf81(X0))))) = skaf81(X0) ) ),
inference(superposition,[status(thm)],[c_261,c_389]) ).
tcf(c_14382,plain,
! [X0: $i] :
( equalelemsP(skaf80(X0))
| ( app(skaf80(skaf80(X0)),cons(skaf78(skaf80(X0)),cons(skaf79(skaf80(X0)),skaf81(skaf80(X0))))) = skaf80(X0) ) ),
inference(superposition,[status(thm)],[c_262,c_389]) ).
tcf(c_14383,plain,
! [X0: $i] :
( equalelemsP(skaf77(X0))
| ( app(skaf80(skaf77(X0)),cons(skaf78(skaf77(X0)),cons(skaf79(skaf77(X0)),skaf81(skaf77(X0))))) = skaf77(X0) ) ),
inference(superposition,[status(thm)],[c_265,c_389]) ).
tcf(c_14384,plain,
! [X0: $i] :
( equalelemsP(skaf76(X0))
| ( app(skaf80(skaf76(X0)),cons(skaf78(skaf76(X0)),cons(skaf79(skaf76(X0)),skaf81(skaf76(X0))))) = skaf76(X0) ) ),
inference(superposition,[status(thm)],[c_266,c_389]) ).
tcf(c_14385,plain,
! [X0: $i] :
( equalelemsP(skaf75(X0))
| ( app(skaf80(skaf75(X0)),cons(skaf78(skaf75(X0)),cons(skaf79(skaf75(X0)),skaf81(skaf75(X0))))) = skaf75(X0) ) ),
inference(superposition,[status(thm)],[c_267,c_389]) ).
tcf(c_14386,plain,
! [X0: $i] :
( equalelemsP(skaf73(X0))
| ( app(skaf80(skaf73(X0)),cons(skaf78(skaf73(X0)),cons(skaf79(skaf73(X0)),skaf81(skaf73(X0))))) = skaf73(X0) ) ),
inference(superposition,[status(thm)],[c_269,c_389]) ).
tcf(c_14387,plain,
! [X0: $i] :
( equalelemsP(skaf72(X0))
| ( app(skaf80(skaf72(X0)),cons(skaf78(skaf72(X0)),cons(skaf79(skaf72(X0)),skaf81(skaf72(X0))))) = skaf72(X0) ) ),
inference(superposition,[status(thm)],[c_270,c_389]) ).
tcf(c_14388,plain,
! [X0: $i] :
( equalelemsP(skaf71(X0))
| ( app(skaf80(skaf71(X0)),cons(skaf78(skaf71(X0)),cons(skaf79(skaf71(X0)),skaf81(skaf71(X0))))) = skaf71(X0) ) ),
inference(superposition,[status(thm)],[c_271,c_389]) ).
tcf(c_14389,plain,
! [X0: $i] :
( equalelemsP(skaf68(X0))
| ( app(skaf80(skaf68(X0)),cons(skaf78(skaf68(X0)),cons(skaf79(skaf68(X0)),skaf81(skaf68(X0))))) = skaf68(X0) ) ),
inference(superposition,[status(thm)],[c_274,c_389]) ).
tcf(c_14390,plain,
! [X0: $i] :
( equalelemsP(skaf67(X0))
| ( app(skaf80(skaf67(X0)),cons(skaf78(skaf67(X0)),cons(skaf79(skaf67(X0)),skaf81(skaf67(X0))))) = skaf67(X0) ) ),
inference(superposition,[status(thm)],[c_275,c_389]) ).
tcf(c_14391,plain,
! [X0: $i] :
( equalelemsP(skaf66(X0))
| ( app(skaf80(skaf66(X0)),cons(skaf78(skaf66(X0)),cons(skaf79(skaf66(X0)),skaf81(skaf66(X0))))) = skaf66(X0) ) ),
inference(superposition,[status(thm)],[c_276,c_389]) ).
tcf(c_14392,plain,
! [X0: $i] :
( equalelemsP(skaf63(X0))
| ( app(skaf80(skaf63(X0)),cons(skaf78(skaf63(X0)),cons(skaf79(skaf63(X0)),skaf81(skaf63(X0))))) = skaf63(X0) ) ),
inference(superposition,[status(thm)],[c_279,c_389]) ).
tcf(c_14393,plain,
! [X0: $i] :
( equalelemsP(skaf62(X0))
| ( app(skaf80(skaf62(X0)),cons(skaf78(skaf62(X0)),cons(skaf79(skaf62(X0)),skaf81(skaf62(X0))))) = skaf62(X0) ) ),
inference(superposition,[status(thm)],[c_280,c_389]) ).
tcf(c_14394,plain,
! [X0: $i] :
( equalelemsP(skaf61(X0))
| ( app(skaf80(skaf61(X0)),cons(skaf78(skaf61(X0)),cons(skaf79(skaf61(X0)),skaf81(skaf61(X0))))) = skaf61(X0) ) ),
inference(superposition,[status(thm)],[c_281,c_389]) ).
tcf(c_14395,plain,
! [X0: $i] :
( equalelemsP(skaf58(X0))
| ( app(skaf80(skaf58(X0)),cons(skaf78(skaf58(X0)),cons(skaf79(skaf58(X0)),skaf81(skaf58(X0))))) = skaf58(X0) ) ),
inference(superposition,[status(thm)],[c_284,c_389]) ).
tcf(c_14396,plain,
! [X0: $i] :
( equalelemsP(skaf57(X0))
| ( app(skaf80(skaf57(X0)),cons(skaf78(skaf57(X0)),cons(skaf79(skaf57(X0)),skaf81(skaf57(X0))))) = skaf57(X0) ) ),
inference(superposition,[status(thm)],[c_285,c_389]) ).
tcf(c_14397,plain,
! [X0: $i] :
( equalelemsP(skaf56(X0))
| ( app(skaf80(skaf56(X0)),cons(skaf78(skaf56(X0)),cons(skaf79(skaf56(X0)),skaf81(skaf56(X0))))) = skaf56(X0) ) ),
inference(superposition,[status(thm)],[c_286,c_389]) ).
tcf(c_14398,plain,
! [X0: $i] :
( equalelemsP(skaf53(X0))
| ( app(skaf80(skaf53(X0)),cons(skaf78(skaf53(X0)),cons(skaf79(skaf53(X0)),skaf81(skaf53(X0))))) = skaf53(X0) ) ),
inference(superposition,[status(thm)],[c_289,c_389]) ).
tcf(c_14399,plain,
! [X0: $i] :
( equalelemsP(skaf52(X0))
| ( app(skaf80(skaf52(X0)),cons(skaf78(skaf52(X0)),cons(skaf79(skaf52(X0)),skaf81(skaf52(X0))))) = skaf52(X0) ) ),
inference(superposition,[status(thm)],[c_290,c_389]) ).
tcf(c_14400,plain,
! [X0: $i] :
( equalelemsP(skaf51(X0))
| ( app(skaf80(skaf51(X0)),cons(skaf78(skaf51(X0)),cons(skaf79(skaf51(X0)),skaf81(skaf51(X0))))) = skaf51(X0) ) ),
inference(superposition,[status(thm)],[c_291,c_389]) ).
tcf(c_14401,plain,
! [X0: $i,X1: $i] :
( equalelemsP(skaf48(X0,X1))
| ( app(skaf80(skaf48(X0,X1)),cons(skaf78(skaf48(X0,X1)),cons(skaf79(skaf48(X0,X1)),skaf81(skaf48(X0,X1))))) = skaf48(X0,X1) ) ),
inference(superposition,[status(thm)],[c_295,c_389]) ).
tcf(c_14402,plain,
! [X0: $i,X1: $i] :
( equalelemsP(skaf47(X0,X1))
| ( app(skaf80(skaf47(X0,X1)),cons(skaf78(skaf47(X0,X1)),cons(skaf79(skaf47(X0,X1)),skaf81(skaf47(X0,X1))))) = skaf47(X0,X1) ) ),
inference(superposition,[status(thm)],[c_296,c_389]) ).
tcf(c_14403,plain,
! [X0: $i,X1: $i] :
( equalelemsP(skaf46(X0,X1))
| ( app(skaf80(skaf46(X0,X1)),cons(skaf78(skaf46(X0,X1)),cons(skaf79(skaf46(X0,X1)),skaf81(skaf46(X0,X1))))) = skaf46(X0,X1) ) ),
inference(superposition,[status(thm)],[c_297,c_389]) ).
tcf(c_14404,plain,
! [X0: $i,X1: $i] :
( equalelemsP(skaf45(X0,X1))
| ( app(skaf80(skaf45(X0,X1)),cons(skaf78(skaf45(X0,X1)),cons(skaf79(skaf45(X0,X1)),skaf81(skaf45(X0,X1))))) = skaf45(X0,X1) ) ),
inference(superposition,[status(thm)],[c_298,c_389]) ).
tcf(c_14405,plain,
! [X0: $i,X1: $i] :
( equalelemsP(skaf43(X0,X1))
| ( app(skaf80(skaf43(X0,X1)),cons(skaf78(skaf43(X0,X1)),cons(skaf79(skaf43(X0,X1)),skaf81(skaf43(X0,X1))))) = skaf43(X0,X1) ) ),
inference(superposition,[status(thm)],[c_299,c_389]) ).
tcf(c_14406,plain,
! [X0: $i,X1: $i] :
( equalelemsP(skaf42(X0,X1))
| ( app(skaf80(skaf42(X0,X1)),cons(skaf78(skaf42(X0,X1)),cons(skaf79(skaf42(X0,X1)),skaf81(skaf42(X0,X1))))) = skaf42(X0,X1) ) ),
inference(superposition,[status(thm)],[c_300,c_389]) ).
tcf(c_14407,plain,
! [X0: $i] :
( equalelemsP(tl(X0))
| ( X0 = nil )
| ( app(skaf80(tl(X0)),cons(skaf78(tl(X0)),cons(skaf79(tl(X0)),skaf81(tl(X0))))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_389]) ).
tcf(c_14408,plain,
! [X0: $i,X1: $i] :
( equalelemsP(app(X1,X0))
| ( app(skaf80(app(X1,X0)),cons(skaf78(app(X1,X0)),cons(skaf79(app(X1,X0)),skaf81(app(X1,X0))))) = app(X1,X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_389]) ).
tcf(c_14409,plain,
! [X0: $i,X1: $i] :
( equalelemsP(cons(X1,X0))
| ( app(skaf80(cons(X1,X0)),cons(skaf78(cons(X1,X0)),cons(skaf79(cons(X1,X0)),skaf81(cons(X1,X0))))) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_389]) ).
tcf(c_14410,plain,
( equalelemsP(iPr_def_16)
| ( app(skaf80(iPr_def_16),cons(skaf78(iPr_def_16),cons(skaf79(iPr_def_16),skaf81(iPr_def_16)))) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9020,c_389]) ).
tcf(c_14411,plain,
( equalelemsP(iPr_def_13)
| ( app(skaf80(iPr_def_13),cons(skaf78(iPr_def_13),cons(skaf79(iPr_def_13),skaf81(iPr_def_13)))) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9527,c_389]) ).
tcf(c_14414,plain,
( equalelemsP(cons(sk9,sk4))
| ( app(skaf80(cons(sk9,sk4)),cons(skaf78(cons(sk9,sk4)),cons(skaf79(cons(sk9,sk4)),skaf81(cons(sk9,sk4))))) = cons(sk9,sk4) ) ),
inference(superposition,[status(thm)],[c_12535,c_389]) ).
tcf(c_14609,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),X0) = tl(app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6486,c_380]) ).
tcf(c_14610,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),X0) = tl(app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6483,c_380]) ).
tcf(c_14611,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),X0) = tl(app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6482,c_380]) ).
tcf(c_14613,plain,
! [X0: $i,X1: $i] :
( ( skaf82(X1) = nil )
| ( app(tl(skaf82(X1)),X0) = tl(app(skaf82(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_260,c_380]) ).
tcf(c_14614,plain,
! [X0: $i,X1: $i] :
( ( skaf81(X1) = nil )
| ( app(tl(skaf81(X1)),X0) = tl(app(skaf81(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_261,c_380]) ).
tcf(c_14615,plain,
! [X0: $i,X1: $i] :
( ( skaf80(X1) = nil )
| ( app(tl(skaf80(X1)),X0) = tl(app(skaf80(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_262,c_380]) ).
tcf(c_14616,plain,
! [X0: $i,X1: $i] :
( ( skaf77(X1) = nil )
| ( app(tl(skaf77(X1)),X0) = tl(app(skaf77(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_265,c_380]) ).
tcf(c_14617,plain,
! [X0: $i,X1: $i] :
( ( skaf76(X1) = nil )
| ( app(tl(skaf76(X1)),X0) = tl(app(skaf76(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_266,c_380]) ).
tcf(c_14618,plain,
! [X0: $i,X1: $i] :
( ( skaf75(X1) = nil )
| ( app(tl(skaf75(X1)),X0) = tl(app(skaf75(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_267,c_380]) ).
tcf(c_14619,plain,
! [X0: $i,X1: $i] :
( ( skaf73(X1) = nil )
| ( app(tl(skaf73(X1)),X0) = tl(app(skaf73(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_269,c_380]) ).
tcf(c_14620,plain,
! [X0: $i,X1: $i] :
( ( skaf72(X1) = nil )
| ( app(tl(skaf72(X1)),X0) = tl(app(skaf72(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_270,c_380]) ).
tcf(c_14621,plain,
! [X0: $i,X1: $i] :
( ( skaf71(X1) = nil )
| ( app(tl(skaf71(X1)),X0) = tl(app(skaf71(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_271,c_380]) ).
tcf(c_14622,plain,
! [X0: $i,X1: $i] :
( ( skaf68(X1) = nil )
| ( app(tl(skaf68(X1)),X0) = tl(app(skaf68(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_274,c_380]) ).
tcf(c_14623,plain,
! [X0: $i,X1: $i] :
( ( skaf67(X1) = nil )
| ( app(tl(skaf67(X1)),X0) = tl(app(skaf67(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_275,c_380]) ).
tcf(c_14624,plain,
! [X0: $i,X1: $i] :
( ( skaf66(X1) = nil )
| ( app(tl(skaf66(X1)),X0) = tl(app(skaf66(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_276,c_380]) ).
tcf(c_14625,plain,
! [X0: $i,X1: $i] :
( ( skaf63(X1) = nil )
| ( app(tl(skaf63(X1)),X0) = tl(app(skaf63(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_279,c_380]) ).
tcf(c_14626,plain,
! [X0: $i,X1: $i] :
( ( skaf62(X1) = nil )
| ( app(tl(skaf62(X1)),X0) = tl(app(skaf62(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_280,c_380]) ).
tcf(c_14627,plain,
! [X0: $i,X1: $i] :
( ( skaf61(X1) = nil )
| ( app(tl(skaf61(X1)),X0) = tl(app(skaf61(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_281,c_380]) ).
tcf(c_14628,plain,
! [X0: $i,X1: $i] :
( ( skaf58(X1) = nil )
| ( app(tl(skaf58(X1)),X0) = tl(app(skaf58(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_284,c_380]) ).
tcf(c_14629,plain,
! [X0: $i,X1: $i] :
( ( skaf57(X1) = nil )
| ( app(tl(skaf57(X1)),X0) = tl(app(skaf57(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_285,c_380]) ).
tcf(c_14630,plain,
! [X0: $i,X1: $i] :
( ( skaf56(X1) = nil )
| ( app(tl(skaf56(X1)),X0) = tl(app(skaf56(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_286,c_380]) ).
tcf(c_14631,plain,
! [X0: $i,X1: $i] :
( ( skaf53(X1) = nil )
| ( app(tl(skaf53(X1)),X0) = tl(app(skaf53(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_289,c_380]) ).
tcf(c_14632,plain,
! [X0: $i,X1: $i] :
( ( skaf52(X1) = nil )
| ( app(tl(skaf52(X1)),X0) = tl(app(skaf52(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_290,c_380]) ).
tcf(c_14633,plain,
! [X0: $i,X1: $i] :
( ( skaf51(X1) = nil )
| ( app(tl(skaf51(X1)),X0) = tl(app(skaf51(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_291,c_380]) ).
tcf(c_14634,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf48(X1,X2) = nil )
| ( app(tl(skaf48(X1,X2)),X0) = tl(app(skaf48(X1,X2),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_295,c_380]) ).
tcf(c_14635,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf47(X1,X2) = nil )
| ( app(tl(skaf47(X1,X2)),X0) = tl(app(skaf47(X1,X2),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_296,c_380]) ).
tcf(c_14636,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf46(X1,X2) = nil )
| ( app(tl(skaf46(X1,X2)),X0) = tl(app(skaf46(X1,X2),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_297,c_380]) ).
tcf(c_14637,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf45(X1,X2) = nil )
| ( app(tl(skaf45(X1,X2)),X0) = tl(app(skaf45(X1,X2),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_298,c_380]) ).
tcf(c_14638,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf43(X1,X2) = nil )
| ( app(tl(skaf43(X1,X2)),X0) = tl(app(skaf43(X1,X2),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_299,c_380]) ).
tcf(c_14639,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf42(X1,X2) = nil )
| ( app(tl(skaf42(X1,X2)),X0) = tl(app(skaf42(X1,X2),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_300,c_380]) ).
tcf(c_14640,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( tl(X0) = nil )
| ( app(tl(tl(X0)),X1) = tl(app(tl(X0),X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_380]) ).
tcf(c_14641,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(X1,X0) = nil )
| ( app(tl(app(X1,X0)),X2) = tl(app(app(X1,X0),X2)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_380]) ).
tcf(c_14642,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X2,X0) = nil )
| ( app(tl(cons(X2,X0)),X1) = tl(app(cons(X2,X0),X1)) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_380]) ).
tcf(c_14643,plain,
! [X0: $i] :
( ( nil = iPr_def_16 )
| ( app(tl(iPr_def_16),X0) = tl(app(iPr_def_16,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9020,c_380]) ).
tcf(c_14644,plain,
! [X0: $i] :
( ( nil = iPr_def_13 )
| ( app(tl(iPr_def_13),X0) = tl(app(iPr_def_13,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9527,c_380]) ).
tcf(c_14645,plain,
! [X0: $i] :
( ( nil = iPr_def_12 )
| ( app(tl(iPr_def_12),X0) = tl(app(iPr_def_12,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9489,c_380]) ).
tcf(c_14646,plain,
! [X0: $i] :
( ( nil = iPr_def_14 )
| ( app(tl(iPr_def_14),X0) = tl(app(iPr_def_14,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9488,c_380]) ).
tcf(c_14647,plain,
! [X0: $i] :
( ( cons(sk9,sk4) = nil )
| ( app(tl(cons(sk9,sk4)),X0) = tl(app(cons(sk9,sk4),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12535,c_380]) ).
tcf(c_14648,plain,
! [X0: $i] :
( ( nil = iPr_def_14 )
| ( tl(app(iPr_def_14,X0)) = app(nil,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_14646,c_10346]) ).
tcf(c_14649,plain,
! [X0: $i] :
( ( tl(app(iPr_def_14,X0)) = app(nil,X0) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14648,c_10149]) ).
tcf(c_14652,plain,
! [X0: $i] :
( ( nil = iPr_def_12 )
| ( tl(app(iPr_def_12,X0)) = app(nil,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_14645,c_10219]) ).
tcf(c_14653,plain,
! [X0: $i] :
( ( tl(app(iPr_def_12,X0)) = app(nil,X0) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14652,c_10150]) ).
tcf(c_14656,plain,
! [X0: $i] :
( ( app(tl(iPr_def_13),X0) = tl(app(iPr_def_13,X0)) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14644,c_11687]) ).
tcf(c_14659,plain,
! [X0: $i] :
( ( app(tl(iPr_def_16),X0) = tl(app(iPr_def_16,X0)) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14643,c_12352]) ).
tcf(c_14734,plain,
! [X0: $i] :
( ( cons(sk9,sk4) = nil )
| ( tl(app(cons(sk9,sk4),X0)) = app(sk4,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_14647,c_10528]) ).
tcf(c_14862,plain,
! [X0: $i] :
( ( app(skaf46(skaf61(X0),nil),nil) = skaf61(X0) )
| ~ ssList(nil)
| ~ ssList(skaf61(X0)) ),
inference(superposition,[status(thm)],[c_12908,c_378]) ).
tcf(c_14863,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf61(X0))
| ~ rearsegP(nil,skaf61(X0)) ),
inference(superposition,[status(thm)],[c_12908,c_375]) ).
tcf(c_14864,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ~ rearsegP(nil,skaf61(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14863,c_255,c_281]) ).
tcf(c_14867,plain,
! [X0: $i] : app(skaf46(skaf61(X0),nil),nil) = skaf61(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_14862,c_255,c_281]) ).
tcf(c_14870,plain,
! [X0: $i] :
( ( app(skaf46(skaf58(X0),nil),nil) = skaf58(X0) )
| ~ ssList(nil)
| ~ ssList(skaf58(X0)) ),
inference(superposition,[status(thm)],[c_13718,c_378]) ).
tcf(c_14871,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf58(X0))
| ~ rearsegP(nil,skaf58(X0)) ),
inference(superposition,[status(thm)],[c_13718,c_375]) ).
tcf(c_14872,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ~ rearsegP(nil,skaf58(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14871,c_255,c_284]) ).
tcf(c_14875,plain,
! [X0: $i] : app(skaf46(skaf58(X0),nil),nil) = skaf58(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_14870,c_255,c_284]) ).
tcf(c_14878,plain,
( ( app(skaf46(sk4,skaf45(sk4,sk4)),skaf45(sk4,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(skaf45(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_14176,c_378]) ).
tcf(c_14879,plain,
( ( skaf45(sk4,sk4) = sk4 )
| ~ ssList(sk4)
| ~ ssList(skaf45(sk4,sk4))
| ~ rearsegP(skaf45(sk4,sk4),sk4) ),
inference(superposition,[status(thm)],[c_14176,c_375]) ).
tcf(c_14880,plain,
( ( skaf45(sk4,sk4) = sk4 )
| ~ rearsegP(skaf45(sk4,sk4),sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14879,c_6486,c_298]) ).
tcf(c_14883,plain,
app(skaf46(sk4,skaf45(sk4,sk4)),skaf45(sk4,sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_14878,c_6486,c_298]) ).
tcf(c_14884,plain,
skaf45(sk8,nil) = sk8,
inference(demodulation,[status(thm)],[c_13157,c_9224]) ).
tcf(c_14887,plain,
skaf45(sk7,nil) = sk7,
inference(demodulation,[status(thm)],[c_13158,c_9224]) ).
tcf(c_14890,plain,
skaf45(sk4,nil) = sk4,
inference(demodulation,[status(thm)],[c_13159,c_9224]) ).
tcf(c_14897,plain,
( rearsegP(iPr_def_13,skaf45(iPr_def_13,sk7))
| ~ ssList(sk7)
| ~ ssList(skaf45(iPr_def_13,sk7)) ),
inference(superposition,[status(thm)],[c_13166,c_807]) ).
tcf(c_14898,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf45(iPr_def_13,sk7))
| ~ memberP(skaf45(iPr_def_13,sk7),X0) ),
inference(superposition,[status(thm)],[c_13166,c_388]) ).
tcf(c_14899,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_13,sk7))
| ~ rearsegP(skaf45(iPr_def_13,sk7),X0) ),
inference(superposition,[status(thm)],[c_13166,c_383]) ).
tcf(c_14900,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf45(iPr_def_13,sk7)) ),
inference(superposition,[status(thm)],[c_13166,c_387]) ).
tcf(c_14901,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ ssList(skaf45(iPr_def_13,sk7)) ),
inference(superposition,[status(thm)],[c_13166,c_384]) ).
tcf(c_14902,plain,
rearsegP(iPr_def_13,skaf45(iPr_def_13,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_14897,c_6483,c_298]) ).
tcf(c_14905,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(iPr_def_13,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14899,c_6483,c_298]) ).
tcf(c_14909,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(iPr_def_13,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14898,c_6483,c_298]) ).
tcf(c_14914,plain,
( ( app(skaf46(iPr_def_13,skaf45(iPr_def_13,sk7)),skaf45(iPr_def_13,sk7)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(skaf45(iPr_def_13,sk7)) ),
inference(superposition,[status(thm)],[c_14902,c_378]) ).
tcf(c_14915,plain,
( ( skaf45(iPr_def_13,sk7) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(skaf45(iPr_def_13,sk7))
| ~ rearsegP(skaf45(iPr_def_13,sk7),iPr_def_13) ),
inference(superposition,[status(thm)],[c_14902,c_375]) ).
tcf(c_14916,plain,
( ( skaf45(iPr_def_13,sk7) = iPr_def_13 )
| ~ rearsegP(skaf45(iPr_def_13,sk7),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14915,c_9527,c_298]) ).
tcf(c_14919,plain,
app(skaf46(iPr_def_13,skaf45(iPr_def_13,sk7)),skaf45(iPr_def_13,sk7)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_14914,c_9527,c_298]) ).
tcf(c_14920,plain,
ssList(cons(sk9,sk7)),
inference(global_subsumption_just,[status(thm)],[c_12565,c_443,c_255,c_11180,c_12565]) ).
tcf(c_14922,plain,
! [X0: $i] :
( ( cons(sk9,sk7) = nil )
| ( app(tl(cons(sk9,sk7)),X0) = tl(app(cons(sk9,sk7),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_14920,c_380]) ).
tcf(c_14923,plain,
! [X0: $i] :
( ( cons(sk9,sk7) = nil )
| ( hd(app(cons(sk9,sk7),X0)) = hd(cons(sk9,sk7)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_14920,c_370]) ).
tcf(c_14924,plain,
( equalelemsP(cons(sk9,sk7))
| ( app(skaf80(cons(sk9,sk7)),cons(skaf78(cons(sk9,sk7)),cons(skaf79(cons(sk9,sk7)),skaf81(cons(sk9,sk7))))) = cons(sk9,sk7) ) ),
inference(superposition,[status(thm)],[c_14920,c_389]) ).
tcf(c_14925,plain,
app(cons(sk9,nil),cons(sk9,sk7)) = cons(sk9,cons(sk9,sk7)),
inference(superposition,[status(thm)],[c_14920,c_11506]) ).
tcf(c_14926,plain,
hd(cons(sk9,cons(sk9,sk7))) = sk9,
inference(superposition,[status(thm)],[c_14920,c_10018]) ).
tcf(c_14927,plain,
hd(cons(sk6,cons(sk9,sk7))) = sk6,
inference(superposition,[status(thm)],[c_14920,c_10017]) ).
tcf(c_14928,plain,
( ( cons(sk9,sk7) = nil )
| ( cons(skaf83(cons(sk9,sk7)),skaf82(cons(sk9,sk7))) = cons(sk9,sk7) ) ),
inference(superposition,[status(thm)],[c_14920,c_356]) ).
tcf(c_14929,plain,
( ( cons(sk9,sk7) = nil )
| ( cons(hd(cons(sk9,sk7)),tl(cons(sk9,sk7))) = cons(sk9,sk7) ) ),
inference(superposition,[status(thm)],[c_14920,c_351]) ).
tcf(c_14930,plain,
hd(cons(sk5,cons(sk9,sk7))) = sk5,
inference(superposition,[status(thm)],[c_14920,c_10016]) ).
tcf(c_14931,plain,
tl(cons(sk9,cons(sk9,sk7))) = cons(sk9,sk7),
inference(superposition,[status(thm)],[c_14920,c_9888]) ).
tcf(c_14932,plain,
tl(cons(sk6,cons(sk9,sk7))) = cons(sk9,sk7),
inference(superposition,[status(thm)],[c_14920,c_9887]) ).
tcf(c_14933,plain,
tl(cons(sk5,cons(sk9,sk7))) = cons(sk9,sk7),
inference(superposition,[status(thm)],[c_14920,c_9886]) ).
tcf(c_14934,plain,
( duplicatefreeP(cons(sk9,sk7))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_14920,c_6471]) ).
tcf(c_14935,plain,
app(nil,cons(sk9,sk7)) = cons(sk9,sk7),
inference(superposition,[status(thm)],[c_14920,c_321]) ).
tcf(c_14936,plain,
app(cons(sk9,sk7),nil) = cons(sk9,sk7),
inference(superposition,[status(thm)],[c_14920,c_320]) ).
tcf(c_14942,plain,
! [X0: $i] :
( ( cons(sk9,sk7) = nil )
| ( hd(app(cons(sk9,sk7),X0)) = sk9 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_14923,c_11346]) ).
tcf(c_14946,plain,
! [X0: $i] :
( ( cons(sk9,sk7) = nil )
| ( tl(app(cons(sk9,sk7),X0)) = app(sk7,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_14922,c_10529]) ).
tcf(c_14996,plain,
( ssList(cons(sk9,sk8))
| ~ ssList(sk8)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12360,c_332]) ).
tcf(c_14997,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(cons(sk9,nil))
| ( cons(sk9,sk8) != nil ) ),
inference(superposition,[status(thm)],[c_12360,c_366]) ).
tcf(c_14998,plain,
( ( cons(sk9,nil) = nil )
| ~ ssList(sk8)
| ~ ssList(cons(sk9,nil))
| ( cons(sk9,sk8) != nil ) ),
inference(superposition,[status(thm)],[c_12360,c_365]) ).
tcf(c_14999,plain,
( frontsegP(cons(sk9,sk8),cons(sk9,nil))
| ~ ssList(sk8)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12360,c_808]) ).
tcf(c_15000,plain,
( rearsegP(cons(sk9,sk8),sk8)
| ~ ssList(sk8)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12360,c_807]) ).
tcf(c_15001,plain,
! [X0: $i] :
( memberP(cons(sk9,sk8),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12360,c_388]) ).
tcf(c_15002,plain,
! [X0: $i] :
( rearsegP(cons(sk9,sk8),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12360,c_383]) ).
tcf(c_15003,plain,
! [X0: $i] :
( memberP(cons(sk9,sk8),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(cons(sk9,nil))
| ~ memberP(cons(sk9,nil),X0) ),
inference(superposition,[status(thm)],[c_12360,c_387]) ).
tcf(c_15004,plain,
! [X0: $i] :
( frontsegP(cons(sk9,sk8),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ frontsegP(cons(sk9,nil),X0) ),
inference(superposition,[status(thm)],[c_12360,c_384]) ).
tcf(c_15005,plain,
( ssList(cons(sk9,sk8))
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14996,c_6482]) ).
tcf(c_15008,plain,
( rearsegP(cons(sk9,sk8),sk8)
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15000,c_6482]) ).
tcf(c_15011,plain,
( frontsegP(cons(sk9,sk8),cons(sk9,nil))
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14999,c_6482]) ).
tcf(c_15014,plain,
( ( sk8 = nil )
| ~ ssList(cons(sk9,nil))
| ( cons(sk9,sk8) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14997,c_6482]) ).
tcf(c_15018,plain,
! [X0: $i] :
( rearsegP(cons(sk9,sk8),X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15002,c_6482]) ).
tcf(c_15023,plain,
! [X0: $i] :
( memberP(cons(sk9,sk8),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15001,c_6482]) ).
tcf(c_15028,plain,
( ( cons(sk9,nil) = nil )
| ~ ssList(cons(sk9,nil))
| ( cons(sk9,sk8) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14998,c_6482]) ).
tcf(c_15032,plain,
! [X0: $i] :
( frontsegP(cons(sk9,sk8),X0)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ frontsegP(cons(sk9,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15004,c_6482]) ).
tcf(c_15037,plain,
! [X0: $i] :
( memberP(cons(sk9,sk8),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk9,nil))
| ~ memberP(cons(sk9,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15003,c_6482]) ).
tcf(c_15049,plain,
! [X0: $i] :
( frontsegP(skaf56(X0),skaf56(X0))
| ~ ssList(nil)
| ~ ssList(skaf56(X0)) ),
inference(superposition,[status(thm)],[c_9122,c_808]) ).
tcf(c_15050,plain,
! [X0: $i] :
( rearsegP(skaf56(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf56(X0)) ),
inference(superposition,[status(thm)],[c_9122,c_807]) ).
tcf(c_15051,plain,
! [X0: $i,X1: $i] :
( memberP(skaf56(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf56(X0)) ),
inference(superposition,[status(thm)],[c_9122,c_388]) ).
tcf(c_15052,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf56(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf56(X0)) ),
inference(superposition,[status(thm)],[c_9122,c_383]) ).
tcf(c_15055,plain,
! [X0: $i] : rearsegP(skaf56(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_15050,c_255,c_286]) ).
tcf(c_15056,plain,
! [X0: $i] : frontsegP(skaf56(X0),skaf56(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_15049,c_255,c_286]) ).
tcf(c_15057,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf56(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15052,c_255,c_286]) ).
tcf(c_15101,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_303,c_399]) ).
tcf(c_15104,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15101,c_255]) ).
tcf(c_15121,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_305,c_400]) ).
tcf(c_15123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( rearsegP(X0,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X2,X3)
| ~ ssList(app(X1,X2))
| ~ rearsegP(X0,app(X1,X2)) ),
inference(superposition,[status(thm)],[c_383,c_400]) ).
tcf(c_15125,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ rearsegP(X0,app(X1,X2)) ),
inference(superposition,[status(thm)],[c_807,c_400]) ).
tcf(c_15126,plain,
! [X0: $i] :
( rearsegP(X0,iPr_def_12)
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_9759,c_400]) ).
tcf(c_15127,plain,
! [X0: $i] :
( rearsegP(X0,iPr_def_14)
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_9758,c_400]) ).
tcf(c_15128,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(iPr_def_16)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_10130,c_400]) ).
tcf(c_15129,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(X0,sk4) ),
inference(superposition,[status(thm)],[c_9754,c_400]) ).
tcf(c_15130,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(X0,sk7) ),
inference(superposition,[status(thm)],[c_9753,c_400]) ).
tcf(c_15131,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(X0,sk8) ),
inference(superposition,[status(thm)],[c_9752,c_400]) ).
tcf(c_15132,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf82(X1))
| ~ rearsegP(X0,skaf82(X1)) ),
inference(superposition,[status(thm)],[c_9766,c_400]) ).
tcf(c_15133,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf81(X1))
| ~ rearsegP(X0,skaf81(X1)) ),
inference(superposition,[status(thm)],[c_9765,c_400]) ).
tcf(c_15134,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf80(X1))
| ~ rearsegP(X0,skaf80(X1)) ),
inference(superposition,[status(thm)],[c_9764,c_400]) ).
tcf(c_15135,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ~ rearsegP(X0,skaf77(X1)) ),
inference(superposition,[status(thm)],[c_9763,c_400]) ).
tcf(c_15136,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ~ rearsegP(X0,skaf76(X1)) ),
inference(superposition,[status(thm)],[c_9762,c_400]) ).
tcf(c_15137,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ~ rearsegP(X0,skaf75(X1)) ),
inference(superposition,[status(thm)],[c_9761,c_400]) ).
tcf(c_15138,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ~ rearsegP(X0,skaf73(X1)) ),
inference(superposition,[status(thm)],[c_9760,c_400]) ).
tcf(c_15139,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_9751,c_400]) ).
tcf(c_15145,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_9745,c_400]) ).
tcf(c_15147,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_9743,c_400]) ).
tcf(c_15149,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_9741,c_400]) ).
tcf(c_15150,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ~ rearsegP(X0,skaf72(X1)) ),
inference(superposition,[status(thm)],[c_9851,c_400]) ).
tcf(c_15151,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ~ rearsegP(X0,skaf71(X1)) ),
inference(superposition,[status(thm)],[c_10137,c_400]) ).
tcf(c_15152,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ~ rearsegP(X0,skaf68(X1)) ),
inference(superposition,[status(thm)],[c_10474,c_400]) ).
tcf(c_15153,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ~ rearsegP(X0,skaf67(X1)) ),
inference(superposition,[status(thm)],[c_10740,c_400]) ).
tcf(c_15154,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ~ rearsegP(X0,skaf66(X1)) ),
inference(superposition,[status(thm)],[c_11494,c_400]) ).
tcf(c_15155,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ rearsegP(X0,skaf63(X1)) ),
inference(superposition,[status(thm)],[c_11809,c_400]) ).
tcf(c_15156,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ rearsegP(X0,skaf62(X1)) ),
inference(superposition,[status(thm)],[c_12587,c_400]) ).
tcf(c_15157,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ rearsegP(X0,skaf61(X1)) ),
inference(superposition,[status(thm)],[c_12908,c_400]) ).
tcf(c_15158,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ rearsegP(X0,skaf58(X1)) ),
inference(superposition,[status(thm)],[c_13718,c_400]) ).
tcf(c_15159,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(sk8,sk8))
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(X0,sk8)
| ~ ssList(skaf45(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_14106,c_400]) ).
tcf(c_15160,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(sk7,sk7))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(X0,sk7)
| ~ ssList(skaf45(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_14134,c_400]) ).
tcf(c_15161,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(sk4,sk4))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(X0,sk4)
| ~ ssList(skaf45(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_14176,c_400]) ).
tcf(c_15162,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_13,sk7))
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_13)
| ~ ssList(skaf45(iPr_def_13,sk7)) ),
inference(superposition,[status(thm)],[c_14902,c_400]) ).
tcf(c_15170,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15128,c_9020,c_6482]) ).
tcf(c_15174,plain,
! [X0: $i] :
( rearsegP(X0,iPr_def_14)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15127,c_9488]) ).
tcf(c_15179,plain,
! [X0: $i] :
( rearsegP(X0,iPr_def_12)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15126,c_9527,c_9489]) ).
tcf(c_15183,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15121,c_255]) ).
tcf(c_15204,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_13,sk7))
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15162,c_9527,c_298]) ).
tcf(c_15208,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(sk4,sk4))
| ~ ssList(X0)
| ~ rearsegP(X0,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15161,c_6486,c_298]) ).
tcf(c_15212,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(sk7,sk7))
| ~ ssList(X0)
| ~ rearsegP(X0,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15160,c_6483,c_298]) ).
tcf(c_15216,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(sk8,sk8))
| ~ ssList(X0)
| ~ rearsegP(X0,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15159,c_6482,c_298]) ).
tcf(c_15305,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ rearsegP(X0,skaf57(X1)) ),
inference(superposition,[status(thm)],[c_14309,c_400]) ).
tcf(c_15306,plain,
! [X0: $i] :
( ( app(skaf46(skaf57(X0),nil),nil) = skaf57(X0) )
| ~ ssList(nil)
| ~ ssList(skaf57(X0)) ),
inference(superposition,[status(thm)],[c_14309,c_378]) ).
tcf(c_15307,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf57(X0))
| ~ rearsegP(nil,skaf57(X0)) ),
inference(superposition,[status(thm)],[c_14309,c_375]) ).
tcf(c_15308,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ~ rearsegP(nil,skaf57(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15307,c_255,c_285]) ).
tcf(c_15311,plain,
! [X0: $i] : app(skaf46(skaf57(X0),nil),nil) = skaf57(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_15306,c_255,c_285]) ).
tcf(c_15315,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ rearsegP(X0,skaf56(X1)) ),
inference(superposition,[status(thm)],[c_15055,c_400]) ).
tcf(c_15316,plain,
! [X0: $i] :
( ( app(skaf46(skaf56(X0),nil),nil) = skaf56(X0) )
| ~ ssList(nil)
| ~ ssList(skaf56(X0)) ),
inference(superposition,[status(thm)],[c_15055,c_378]) ).
tcf(c_15317,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf56(X0))
| ~ rearsegP(nil,skaf56(X0)) ),
inference(superposition,[status(thm)],[c_15055,c_375]) ).
tcf(c_15318,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ~ rearsegP(nil,skaf56(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15317,c_255,c_286]) ).
tcf(c_15321,plain,
! [X0: $i] : app(skaf46(skaf56(X0),nil),nil) = skaf56(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_15316,c_255,c_286]) ).
tcf(c_15365,plain,
! [X0: $i] :
( ( app(skaf73(X0),skaf45(skaf73(X0),skaf73(X0))) = skaf73(X0) )
| ~ ssList(skaf73(X0)) ),
inference(superposition,[status(thm)],[c_9824,c_379]) ).
tcf(c_15367,plain,
! [X0: $i] : app(skaf73(X0),skaf45(skaf73(X0),skaf73(X0))) = skaf73(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_15365,c_269]) ).
tcf(c_15369,plain,
! [X0: $i] :
( ( app(skaf75(X0),skaf45(skaf75(X0),skaf75(X0))) = skaf75(X0) )
| ~ ssList(skaf75(X0)) ),
inference(superposition,[status(thm)],[c_9825,c_379]) ).
tcf(c_15371,plain,
! [X0: $i] : app(skaf75(X0),skaf45(skaf75(X0),skaf75(X0))) = skaf75(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_15369,c_267]) ).
tcf(c_15373,plain,
ssList(cons(sk9,sk8)),
inference(global_subsumption_just,[status(thm)],[c_15005,c_443,c_255,c_11180,c_15005]) ).
tcf(c_15375,plain,
! [X0: $i] :
( ( cons(sk9,sk8) = nil )
| ( app(tl(cons(sk9,sk8)),X0) = tl(app(cons(sk9,sk8),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15373,c_380]) ).
tcf(c_15376,plain,
! [X0: $i] :
( ( cons(sk9,sk8) = nil )
| ( hd(app(cons(sk9,sk8),X0)) = hd(cons(sk9,sk8)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15373,c_370]) ).
tcf(c_15377,plain,
( equalelemsP(cons(sk9,sk8))
| ( app(skaf80(cons(sk9,sk8)),cons(skaf78(cons(sk9,sk8)),cons(skaf79(cons(sk9,sk8)),skaf81(cons(sk9,sk8))))) = cons(sk9,sk8) ) ),
inference(superposition,[status(thm)],[c_15373,c_389]) ).
tcf(c_15378,plain,
app(cons(sk9,nil),cons(sk9,sk8)) = cons(sk9,cons(sk9,sk8)),
inference(superposition,[status(thm)],[c_15373,c_11506]) ).
tcf(c_15379,plain,
hd(cons(sk9,cons(sk9,sk8))) = sk9,
inference(superposition,[status(thm)],[c_15373,c_10018]) ).
tcf(c_15380,plain,
hd(cons(sk6,cons(sk9,sk8))) = sk6,
inference(superposition,[status(thm)],[c_15373,c_10017]) ).
tcf(c_15381,plain,
( ( cons(sk9,sk8) = nil )
| ( cons(skaf83(cons(sk9,sk8)),skaf82(cons(sk9,sk8))) = cons(sk9,sk8) ) ),
inference(superposition,[status(thm)],[c_15373,c_356]) ).
tcf(c_15382,plain,
( ( cons(sk9,sk8) = nil )
| ( cons(hd(cons(sk9,sk8)),tl(cons(sk9,sk8))) = cons(sk9,sk8) ) ),
inference(superposition,[status(thm)],[c_15373,c_351]) ).
tcf(c_15383,plain,
hd(cons(sk5,cons(sk9,sk8))) = sk5,
inference(superposition,[status(thm)],[c_15373,c_10016]) ).
tcf(c_15384,plain,
tl(cons(sk9,cons(sk9,sk8))) = cons(sk9,sk8),
inference(superposition,[status(thm)],[c_15373,c_9888]) ).
tcf(c_15385,plain,
tl(cons(sk6,cons(sk9,sk8))) = cons(sk9,sk8),
inference(superposition,[status(thm)],[c_15373,c_9887]) ).
tcf(c_15386,plain,
tl(cons(sk5,cons(sk9,sk8))) = cons(sk9,sk8),
inference(superposition,[status(thm)],[c_15373,c_9886]) ).
tcf(c_15387,plain,
( duplicatefreeP(cons(sk9,sk8))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_15373,c_6471]) ).
tcf(c_15388,plain,
app(nil,cons(sk9,sk8)) = cons(sk9,sk8),
inference(superposition,[status(thm)],[c_15373,c_321]) ).
tcf(c_15389,plain,
app(cons(sk9,sk8),nil) = cons(sk9,sk8),
inference(superposition,[status(thm)],[c_15373,c_320]) ).
tcf(c_15395,plain,
! [X0: $i] :
( ( cons(sk9,sk8) = nil )
| ( hd(app(cons(sk9,sk8),X0)) = sk9 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_15376,c_11347]) ).
tcf(c_15399,plain,
! [X0: $i] :
( ( cons(sk9,sk8) = nil )
| ( tl(app(cons(sk9,sk8),X0)) = app(sk8,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_15375,c_10530]) ).
tcf(c_15430,plain,
rearsegP(cons(sk9,sk4),sk4),
inference(global_subsumption_just,[status(thm)],[c_12521,c_443,c_255,c_11180,c_12521]) ).
tcf(c_15432,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk4))
| ~ rearsegP(X0,cons(sk9,sk4)) ),
inference(superposition,[status(thm)],[c_15430,c_400]) ).
tcf(c_15433,plain,
( ( app(skaf46(cons(sk9,sk4),sk4),sk4) = cons(sk9,sk4) )
| ~ ssList(sk4)
| ~ ssList(cons(sk9,sk4)) ),
inference(superposition,[status(thm)],[c_15430,c_378]) ).
tcf(c_15434,plain,
( ( cons(sk9,sk4) = sk4 )
| ~ ssList(sk4)
| ~ ssList(cons(sk9,sk4))
| ~ rearsegP(sk4,cons(sk9,sk4)) ),
inference(superposition,[status(thm)],[c_15430,c_375]) ).
tcf(c_15435,plain,
( ( cons(sk9,sk4) = sk4 )
| ~ rearsegP(sk4,cons(sk9,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15434,c_6486,c_12535]) ).
tcf(c_15438,plain,
app(skaf46(cons(sk9,sk4),sk4),sk4) = cons(sk9,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_15433,c_6486,c_12535]) ).
tcf(c_15439,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk9,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15432,c_6486,c_12535]) ).
tcf(c_15444,plain,
rearsegP(cons(sk9,sk7),sk7),
inference(global_subsumption_just,[status(thm)],[c_12568,c_443,c_255,c_11180,c_12568]) ).
tcf(c_15446,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk7))
| ~ rearsegP(X0,cons(sk9,sk7)) ),
inference(superposition,[status(thm)],[c_15444,c_400]) ).
tcf(c_15447,plain,
( ( app(skaf46(cons(sk9,sk7),sk7),sk7) = cons(sk9,sk7) )
| ~ ssList(sk7)
| ~ ssList(cons(sk9,sk7)) ),
inference(superposition,[status(thm)],[c_15444,c_378]) ).
tcf(c_15448,plain,
( ( cons(sk9,sk7) = sk7 )
| ~ ssList(sk7)
| ~ ssList(cons(sk9,sk7))
| ~ rearsegP(sk7,cons(sk9,sk7)) ),
inference(superposition,[status(thm)],[c_15444,c_375]) ).
tcf(c_15449,plain,
( ( cons(sk9,sk7) = sk7 )
| ~ rearsegP(sk7,cons(sk9,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15448,c_6483,c_14920]) ).
tcf(c_15452,plain,
app(skaf46(cons(sk9,sk7),sk7),sk7) = cons(sk9,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_15447,c_6483,c_14920]) ).
tcf(c_15453,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk9,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15446,c_6483,c_14920]) ).
tcf(c_15507,plain,
! [X0: $i] :
( frontsegP(skaf53(X0),skaf53(X0))
| ~ ssList(nil)
| ~ ssList(skaf53(X0)) ),
inference(superposition,[status(thm)],[c_9123,c_808]) ).
tcf(c_15508,plain,
! [X0: $i] :
( rearsegP(skaf53(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf53(X0)) ),
inference(superposition,[status(thm)],[c_9123,c_807]) ).
tcf(c_15509,plain,
! [X0: $i,X1: $i] :
( memberP(skaf53(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf53(X0)) ),
inference(superposition,[status(thm)],[c_9123,c_388]) ).
tcf(c_15510,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf53(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf53(X0)) ),
inference(superposition,[status(thm)],[c_9123,c_383]) ).
tcf(c_15513,plain,
! [X0: $i] : rearsegP(skaf53(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_15508,c_255,c_289]) ).
tcf(c_15514,plain,
! [X0: $i] : frontsegP(skaf53(X0),skaf53(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_15507,c_255,c_289]) ).
tcf(c_15515,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf53(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15510,c_255,c_289]) ).
tcf(c_15549,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_307,c_401]) ).
tcf(c_15551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X0,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X3)
| ~ ssList(app(X1,X2))
| ~ frontsegP(X0,app(X1,X2)) ),
inference(superposition,[status(thm)],[c_384,c_401]) ).
tcf(c_15553,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ frontsegP(X0,app(X1,X2)) ),
inference(superposition,[status(thm)],[c_808,c_401]) ).
tcf(c_15554,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(iPr_def_13)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_9823,c_401]) ).
tcf(c_15555,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_13)
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_9822,c_401]) ).
tcf(c_15556,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_15)
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_10132,c_401]) ).
tcf(c_15563,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(X0,sk4) ),
inference(superposition,[status(thm)],[c_9814,c_401]) ).
tcf(c_15564,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(X0,sk7) ),
inference(superposition,[status(thm)],[c_9813,c_401]) ).
tcf(c_15565,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ frontsegP(X0,sk8) ),
inference(superposition,[status(thm)],[c_9812,c_401]) ).
tcf(c_15566,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_9811,c_401]) ).
tcf(c_15567,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_9810,c_401]) ).
tcf(c_15569,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_9808,c_401]) ).
tcf(c_15571,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_9806,c_401]) ).
tcf(c_15573,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk8,sk8))
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ frontsegP(X0,sk8)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_13609,c_401]) ).
tcf(c_15574,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk7,sk7))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(X0,sk7)
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_13630,c_401]) ).
tcf(c_15575,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk4,sk4))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(X0,sk4)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_13651,c_401]) ).
tcf(c_15576,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_16,sk8))
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16)
| ~ ssList(skaf46(iPr_def_16,sk8)) ),
inference(superposition,[status(thm)],[c_14072,c_401]) ).
tcf(c_15584,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_15)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15556,c_9020]) ).
tcf(c_15589,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_13)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15555,c_9527]) ).
tcf(c_15594,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15554,c_9527,c_6483]) ).
tcf(c_15598,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15549,c_255]) ).
tcf(c_15603,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_16,sk8))
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15576,c_9020,c_297]) ).
tcf(c_15607,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk4,sk4))
| ~ ssList(X0)
| ~ frontsegP(X0,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15575,c_6486,c_297]) ).
tcf(c_15611,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk7,sk7))
| ~ ssList(X0)
| ~ frontsegP(X0,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15574,c_6483,c_297]) ).
tcf(c_15615,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk8,sk8))
| ~ ssList(X0)
| ~ frontsegP(X0,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15573,c_6482,c_297]) ).
tcf(c_15702,plain,
! [X0: $i,X1: $i] :
( cyclefreeP(X1)
| leq(X0,skaf49(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf49(X1))
| ~ ssItem(skaf50(X1))
| ~ leq(X0,skaf50(X1)) ),
inference(superposition,[status(thm)],[c_334,c_403]) ).
tcf(c_15703,plain,
! [X0: $i,X1: $i] :
( cyclefreeP(X1)
| leq(X0,skaf50(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf49(X1))
| ~ ssItem(skaf50(X1))
| ~ leq(X0,skaf49(X1)) ),
inference(superposition,[status(thm)],[c_335,c_403]) ).
tcf(c_15704,plain,
! [X0: $i,X1: $i] :
( cyclefreeP(X1)
| leq(X0,skaf50(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(X0,skaf49(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15703,c_293,c_292]) ).
tcf(c_15710,plain,
! [X0: $i,X1: $i] :
( cyclefreeP(X1)
| leq(X0,skaf49(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(X0,skaf50(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15702,c_293,c_292]) ).
tcf(c_15726,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,cons(sk5,X0))
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_6473,c_425]) ).
tcf(c_15727,plain,
! [X0: $i] :
( frontsegP(iPr_def_14,cons(sk6,X0))
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_6475,c_425]) ).
tcf(c_15728,plain,
! [X0: $i] :
( frontsegP(sk4,cons(hd(sk4),X0))
| ( sk4 = nil )
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ frontsegP(tl(sk4),X0) ),
inference(superposition,[status(thm)],[c_10766,c_425]) ).
tcf(c_15729,plain,
! [X0: $i] :
( frontsegP(sk7,cons(hd(sk7),X0))
| ( sk7 = nil )
| ~ ssList(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ frontsegP(tl(sk7),X0) ),
inference(superposition,[status(thm)],[c_10767,c_425]) ).
tcf(c_15730,plain,
! [X0: $i] :
( frontsegP(sk8,cons(hd(sk8),X0))
| ( sk8 = nil )
| ~ ssList(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ frontsegP(tl(sk8),X0) ),
inference(superposition,[status(thm)],[c_10768,c_425]) ).
tcf(c_15731,plain,
! [X0: $i] :
( frontsegP(sk4,cons(skaf83(sk4),X0))
| ( sk4 = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ frontsegP(skaf82(sk4),X0) ),
inference(superposition,[status(thm)],[c_10982,c_425]) ).
tcf(c_15732,plain,
! [X0: $i] :
( frontsegP(sk7,cons(skaf83(sk7),X0))
| ( sk7 = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ frontsegP(skaf82(sk7),X0) ),
inference(superposition,[status(thm)],[c_10983,c_425]) ).
tcf(c_15733,plain,
! [X0: $i] :
( frontsegP(sk8,cons(skaf83(sk8),X0))
| ( sk8 = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ frontsegP(skaf82(sk8),X0) ),
inference(superposition,[status(thm)],[c_10984,c_425]) ).
tcf(c_15734,plain,
! [X0: $i] :
( frontsegP(cons(sk5,X0),iPr_def_12)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_6473,c_425]) ).
tcf(c_15735,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),iPr_def_14)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_6475,c_425]) ).
tcf(c_15736,plain,
! [X0: $i] :
( frontsegP(cons(hd(sk4),X0),sk4)
| ( sk4 = nil )
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ frontsegP(X0,tl(sk4)) ),
inference(superposition,[status(thm)],[c_10766,c_425]) ).
tcf(c_15737,plain,
! [X0: $i] :
( frontsegP(cons(hd(sk7),X0),sk7)
| ( sk7 = nil )
| ~ ssList(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ frontsegP(X0,tl(sk7)) ),
inference(superposition,[status(thm)],[c_10767,c_425]) ).
tcf(c_15738,plain,
! [X0: $i] :
( frontsegP(cons(hd(sk8),X0),sk8)
| ( sk8 = nil )
| ~ ssList(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ frontsegP(X0,tl(sk8)) ),
inference(superposition,[status(thm)],[c_10768,c_425]) ).
tcf(c_15739,plain,
! [X0: $i] :
( frontsegP(cons(skaf83(sk4),X0),sk4)
| ( sk4 = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ frontsegP(X0,skaf82(sk4)) ),
inference(superposition,[status(thm)],[c_10982,c_425]) ).
tcf(c_15740,plain,
! [X0: $i] :
( frontsegP(cons(skaf83(sk7),X0),sk7)
| ( sk7 = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ frontsegP(X0,skaf82(sk7)) ),
inference(superposition,[status(thm)],[c_10983,c_425]) ).
tcf(c_15741,plain,
! [X0: $i] :
( frontsegP(cons(skaf83(sk8),X0),sk8)
| ( sk8 = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ frontsegP(X0,skaf82(sk8)) ),
inference(superposition,[status(thm)],[c_10984,c_425]) ).
tcf(c_15742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X0,cons(X1,X3))
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ frontsegP(X2,X3)
| ~ ssList(cons(X1,X3))
| ~ ssList(cons(X1,X2))
| ~ frontsegP(X0,cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_425,c_401]) ).
tcf(c_15743,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(cons(X0,X2),skaf45(cons(X0,X1),cons(X0,X2))) = cons(X0,X1) )
| ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ ssList(cons(X0,X2))
| ~ ssList(cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_425,c_379]) ).
tcf(c_15744,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X0,X1) = cons(X0,X2) )
| ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X2,X1)
| ~ ssList(cons(X0,X2))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(X0,X1),cons(X0,X2)) ),
inference(superposition,[status(thm)],[c_425,c_376]) ).
tcf(c_15745,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),iPr_def_14)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15735,c_6484,c_255]) ).
tcf(c_15749,plain,
! [X0: $i] :
( frontsegP(cons(sk5,X0),iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15734,c_6485,c_255]) ).
tcf(c_15753,plain,
! [X0: $i] :
( frontsegP(iPr_def_14,cons(sk6,X0))
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15727,c_6484,c_255]) ).
tcf(c_15757,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,cons(sk5,X0))
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15726,c_6485,c_255]) ).
tcf(c_15761,plain,
! [X0: $i] :
( frontsegP(cons(skaf83(sk8),X0),sk8)
| ( sk8 = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15741,c_259,c_260]) ).
tcf(c_15766,plain,
! [X0: $i] :
( frontsegP(cons(skaf83(sk7),X0),sk7)
| ( sk7 = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15740,c_259,c_260]) ).
tcf(c_15771,plain,
! [X0: $i] :
( frontsegP(cons(skaf83(sk4),X0),sk4)
| ( sk4 = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15739,c_259,c_260]) ).
tcf(c_15794,plain,
! [X0: $i] :
( frontsegP(sk8,cons(skaf83(sk8),X0))
| ( sk8 = nil )
| ~ ssList(X0)
| ~ frontsegP(skaf82(sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15733,c_259,c_260]) ).
tcf(c_15799,plain,
! [X0: $i] :
( frontsegP(sk7,cons(skaf83(sk7),X0))
| ( sk7 = nil )
| ~ ssList(X0)
| ~ frontsegP(skaf82(sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15732,c_259,c_260]) ).
tcf(c_15804,plain,
! [X0: $i] :
( frontsegP(sk4,cons(skaf83(sk4),X0))
| ( sk4 = nil )
| ~ ssList(X0)
| ~ frontsegP(skaf82(sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15731,c_259,c_260]) ).
tcf(c_16062,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ rearsegP(X0,skaf53(X1)) ),
inference(superposition,[status(thm)],[c_15513,c_400]) ).
tcf(c_16063,plain,
! [X0: $i] :
( ( app(skaf46(skaf53(X0),nil),nil) = skaf53(X0) )
| ~ ssList(nil)
| ~ ssList(skaf53(X0)) ),
inference(superposition,[status(thm)],[c_15513,c_378]) ).
tcf(c_16064,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf53(X0))
| ~ rearsegP(nil,skaf53(X0)) ),
inference(superposition,[status(thm)],[c_15513,c_375]) ).
tcf(c_16065,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ~ rearsegP(nil,skaf53(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16064,c_255,c_289]) ).
tcf(c_16068,plain,
! [X0: $i] : app(skaf46(skaf53(X0),nil),nil) = skaf53(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_16063,c_255,c_289]) ).
tcf(c_16073,plain,
! [X0: $i] :
( ( app(skaf76(X0),skaf45(skaf76(X0),skaf76(X0))) = skaf76(X0) )
| ~ ssList(skaf76(X0)) ),
inference(superposition,[status(thm)],[c_9826,c_379]) ).
tcf(c_16075,plain,
! [X0: $i] : app(skaf76(X0),skaf45(skaf76(X0),skaf76(X0))) = skaf76(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_16073,c_266]) ).
tcf(c_16118,plain,
! [X0: $i] :
( ( app(skaf77(X0),skaf45(skaf77(X0),skaf77(X0))) = skaf77(X0) )
| ~ ssList(skaf77(X0)) ),
inference(superposition,[status(thm)],[c_9827,c_379]) ).
tcf(c_16120,plain,
! [X0: $i] : app(skaf77(X0),skaf45(skaf77(X0),skaf77(X0))) = skaf77(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_16118,c_265]) ).
tcf(c_16123,plain,
! [X0: $i] :
( ( app(skaf80(X0),skaf45(skaf80(X0),skaf80(X0))) = skaf80(X0) )
| ~ ssList(skaf80(X0)) ),
inference(superposition,[status(thm)],[c_9828,c_379]) ).
tcf(c_16125,plain,
! [X0: $i] : app(skaf80(X0),skaf45(skaf80(X0),skaf80(X0))) = skaf80(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_16123,c_262]) ).
tcf(c_16155,plain,
( frontsegP(iPr_def_13,skaf46(sk7,sk7))
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_13630,c_13555]) ).
tcf(c_16156,plain,
frontsegP(iPr_def_13,skaf46(sk7,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_16155,c_297]) ).
tcf(c_16169,plain,
( memberP(iPr_def_13,sk5)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_9709,c_13933]) ).
tcf(c_16170,plain,
memberP(iPr_def_13,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_16169,c_6485]) ).
tcf(c_16181,plain,
( rearsegP(iPr_def_16,skaf45(sk8,sk8))
| ~ ssList(skaf45(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_14106,c_14073]) ).
tcf(c_16182,plain,
rearsegP(iPr_def_16,skaf45(sk8,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_16181,c_298]) ).
tcf(c_16192,plain,
! [X0: $i] :
( frontsegP(skaf52(X0),skaf52(X0))
| ~ ssList(nil)
| ~ ssList(skaf52(X0)) ),
inference(superposition,[status(thm)],[c_9124,c_808]) ).
tcf(c_16193,plain,
! [X0: $i] :
( rearsegP(skaf52(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf52(X0)) ),
inference(superposition,[status(thm)],[c_9124,c_807]) ).
tcf(c_16194,plain,
! [X0: $i,X1: $i] :
( memberP(skaf52(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf52(X0)) ),
inference(superposition,[status(thm)],[c_9124,c_388]) ).
tcf(c_16195,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf52(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf52(X0)) ),
inference(superposition,[status(thm)],[c_9124,c_383]) ).
tcf(c_16198,plain,
! [X0: $i] : rearsegP(skaf52(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_16193,c_255,c_290]) ).
tcf(c_16199,plain,
! [X0: $i] : frontsegP(skaf52(X0),skaf52(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_16192,c_255,c_290]) ).
tcf(c_16200,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf52(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16195,c_255,c_290]) ).
tcf(c_16215,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,sk4),X0) = app(X1,app(sk4,X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6486,c_396]) ).
tcf(c_16216,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,sk7),X0) = app(X1,app(sk7,X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6483,c_396]) ).
tcf(c_16217,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,sk8),X0) = app(X1,app(sk8,X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6482,c_396]) ).
tcf(c_16218,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,nil),X0) = app(X1,app(nil,X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_255,c_396]) ).
tcf(c_16219,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf82(X2)),X0) = app(X1,app(skaf82(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_260,c_396]) ).
tcf(c_16220,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf81(X2)),X0) = app(X1,app(skaf81(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_261,c_396]) ).
tcf(c_16221,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf80(X2)),X0) = app(X1,app(skaf80(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_262,c_396]) ).
tcf(c_16222,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf77(X2)),X0) = app(X1,app(skaf77(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_265,c_396]) ).
tcf(c_16223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf76(X2)),X0) = app(X1,app(skaf76(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_266,c_396]) ).
tcf(c_16224,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf75(X2)),X0) = app(X1,app(skaf75(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_267,c_396]) ).
tcf(c_16225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf73(X2)),X0) = app(X1,app(skaf73(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_269,c_396]) ).
tcf(c_16226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf72(X2)),X0) = app(X1,app(skaf72(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_270,c_396]) ).
tcf(c_16227,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf71(X2)),X0) = app(X1,app(skaf71(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_271,c_396]) ).
tcf(c_16228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf68(X2)),X0) = app(X1,app(skaf68(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_274,c_396]) ).
tcf(c_16229,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf67(X2)),X0) = app(X1,app(skaf67(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_275,c_396]) ).
tcf(c_16230,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf66(X2)),X0) = app(X1,app(skaf66(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_276,c_396]) ).
tcf(c_16231,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf63(X2)),X0) = app(X1,app(skaf63(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_279,c_396]) ).
tcf(c_16232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf62(X2)),X0) = app(X1,app(skaf62(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_280,c_396]) ).
tcf(c_16233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf61(X2)),X0) = app(X1,app(skaf61(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_281,c_396]) ).
tcf(c_16234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf58(X2)),X0) = app(X1,app(skaf58(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_284,c_396]) ).
tcf(c_16235,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf57(X2)),X0) = app(X1,app(skaf57(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_285,c_396]) ).
tcf(c_16236,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf56(X2)),X0) = app(X1,app(skaf56(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_286,c_396]) ).
tcf(c_16237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf53(X2)),X0) = app(X1,app(skaf53(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_289,c_396]) ).
tcf(c_16238,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf52(X2)),X0) = app(X1,app(skaf52(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_290,c_396]) ).
tcf(c_16239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,skaf51(X2)),X0) = app(X1,app(skaf51(X2),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_291,c_396]) ).
tcf(c_16240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X1,skaf48(X2,X3)),X0) = app(X1,app(skaf48(X2,X3),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_295,c_396]) ).
tcf(c_16241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X1,skaf47(X2,X3)),X0) = app(X1,app(skaf47(X2,X3),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_296,c_396]) ).
tcf(c_16242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X1,skaf46(X2,X3)),X0) = app(X1,app(skaf46(X2,X3),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_297,c_396]) ).
tcf(c_16243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X1,skaf45(X2,X3)),X0) = app(X1,app(skaf45(X2,X3),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_298,c_396]) ).
tcf(c_16244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X1,skaf43(X2,X3)),X0) = app(X1,app(skaf43(X2,X3),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_299,c_396]) ).
tcf(c_16245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X1,skaf42(X2,X3)),X0) = app(X1,app(skaf42(X2,X3),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_300,c_396]) ).
tcf(c_16246,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ( app(app(X2,tl(X0)),X1) = app(X2,app(tl(X0),X1)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_396]) ).
tcf(c_16247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X3,app(X1,X0)),X2) = app(X3,app(app(X1,X0),X2)) )
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_396]) ).
tcf(c_16248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X2,cons(X3,X0)),X1) = app(X2,app(cons(X3,X0),X1)) )
| ~ ssItem(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_396]) ).
tcf(c_16249,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,iPr_def_16),X0) = app(X1,app(iPr_def_16,X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9020,c_396]) ).
tcf(c_16250,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,iPr_def_13),X0) = app(X1,app(iPr_def_13,X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9527,c_396]) ).
tcf(c_16251,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,iPr_def_12),X0) = app(X1,app(iPr_def_12,X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9489,c_396]) ).
tcf(c_16252,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,iPr_def_14),X0) = app(X1,app(iPr_def_14,X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9488,c_396]) ).
tcf(c_16253,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk9,sk4)),X0) = app(X1,app(cons(sk9,sk4),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12535,c_396]) ).
tcf(c_16254,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk9,sk7)),X0) = app(X1,app(cons(sk9,sk7),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_14920,c_396]) ).
tcf(c_16255,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk9,sk8)),X0) = app(X1,app(cons(sk9,sk8),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15373,c_396]) ).
tcf(c_16529,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,sk4)) = app(cons(X1,X0),sk4) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6486,c_404]) ).
tcf(c_16530,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,sk7)) = app(cons(X1,X0),sk7) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6483,c_404]) ).
tcf(c_16531,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,sk8)) = app(cons(X1,X0),sk8) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6482,c_404]) ).
tcf(c_16532,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,nil)) = app(cons(X1,X0),nil) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_255,c_404]) ).
tcf(c_16533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf82(X2))) = app(cons(X1,X0),skaf82(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_260,c_404]) ).
tcf(c_16534,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf81(X2))) = app(cons(X1,X0),skaf81(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_261,c_404]) ).
tcf(c_16535,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf80(X2))) = app(cons(X1,X0),skaf80(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_262,c_404]) ).
tcf(c_16536,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf77(X2))) = app(cons(X1,X0),skaf77(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_265,c_404]) ).
tcf(c_16537,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf76(X2))) = app(cons(X1,X0),skaf76(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_266,c_404]) ).
tcf(c_16538,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf75(X2))) = app(cons(X1,X0),skaf75(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_267,c_404]) ).
tcf(c_16539,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf73(X2))) = app(cons(X1,X0),skaf73(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_269,c_404]) ).
tcf(c_16540,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf72(X2))) = app(cons(X1,X0),skaf72(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_270,c_404]) ).
tcf(c_16541,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf71(X2))) = app(cons(X1,X0),skaf71(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_271,c_404]) ).
tcf(c_16542,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf68(X2))) = app(cons(X1,X0),skaf68(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_274,c_404]) ).
tcf(c_16543,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf67(X2))) = app(cons(X1,X0),skaf67(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_275,c_404]) ).
tcf(c_16544,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf66(X2))) = app(cons(X1,X0),skaf66(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_276,c_404]) ).
tcf(c_16545,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf63(X2))) = app(cons(X1,X0),skaf63(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_279,c_404]) ).
tcf(c_16546,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf62(X2))) = app(cons(X1,X0),skaf62(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_280,c_404]) ).
tcf(c_16547,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf61(X2))) = app(cons(X1,X0),skaf61(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_281,c_404]) ).
tcf(c_16548,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf58(X2))) = app(cons(X1,X0),skaf58(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_284,c_404]) ).
tcf(c_16549,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf57(X2))) = app(cons(X1,X0),skaf57(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_285,c_404]) ).
tcf(c_16550,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf56(X2))) = app(cons(X1,X0),skaf56(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_286,c_404]) ).
tcf(c_16551,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf53(X2))) = app(cons(X1,X0),skaf53(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_289,c_404]) ).
tcf(c_16552,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf52(X2))) = app(cons(X1,X0),skaf52(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_290,c_404]) ).
tcf(c_16553,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,app(X0,skaf51(X2))) = app(cons(X1,X0),skaf51(X2)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_291,c_404]) ).
tcf(c_16554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cons(X1,app(X0,skaf48(X2,X3))) = app(cons(X1,X0),skaf48(X2,X3)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_295,c_404]) ).
tcf(c_16555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cons(X1,app(X0,skaf47(X2,X3))) = app(cons(X1,X0),skaf47(X2,X3)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_296,c_404]) ).
tcf(c_16556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cons(X1,app(X0,skaf46(X2,X3))) = app(cons(X1,X0),skaf46(X2,X3)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_297,c_404]) ).
tcf(c_16557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cons(X1,app(X0,skaf45(X2,X3))) = app(cons(X1,X0),skaf45(X2,X3)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_298,c_404]) ).
tcf(c_16558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cons(X1,app(X0,skaf43(X2,X3))) = app(cons(X1,X0),skaf43(X2,X3)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_299,c_404]) ).
tcf(c_16559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cons(X1,app(X0,skaf42(X2,X3))) = app(cons(X1,X0),skaf42(X2,X3)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_300,c_404]) ).
tcf(c_16560,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ( cons(X2,app(X1,tl(X0))) = app(cons(X2,X1),tl(X0)) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_404]) ).
tcf(c_16561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cons(X3,app(X2,app(X1,X0))) = app(cons(X3,X2),app(X1,X0)) )
| ~ ssItem(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_404]) ).
tcf(c_16562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cons(X3,app(X1,cons(X2,X0))) = app(cons(X3,X1),cons(X2,X0)) )
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_404]) ).
tcf(c_16563,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,iPr_def_16)) = app(cons(X1,X0),iPr_def_16) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9020,c_404]) ).
tcf(c_16564,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,iPr_def_13)) = app(cons(X1,X0),iPr_def_13) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9527,c_404]) ).
tcf(c_16565,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,iPr_def_12)) = app(cons(X1,X0),iPr_def_12) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9489,c_404]) ).
tcf(c_16566,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,iPr_def_14)) = app(cons(X1,X0),iPr_def_14) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9488,c_404]) ).
tcf(c_16567,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk9,sk4))) = app(cons(X1,X0),cons(sk9,sk4)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12535,c_404]) ).
tcf(c_16568,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk9,sk7))) = app(cons(X1,X0),cons(sk9,sk7)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_14920,c_404]) ).
tcf(c_16569,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk9,sk8))) = app(cons(X1,X0),cons(sk9,sk8)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15373,c_404]) ).
tcf(c_16773,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(sk7,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_6474,c_405]) ).
tcf(c_16774,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ ssItem(X0)
| ~ memberP(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_6476,c_405]) ).
tcf(c_16775,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| memberP(sk8,X0)
| ~ ssList(iPr_def_15)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_6477,c_405]) ).
tcf(c_16810,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(cons(sk9,nil),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(cons(sk9,nil))
| ~ memberP(cons(sk9,sk4),X0) ),
inference(superposition,[status(thm)],[c_12358,c_405]) ).
tcf(c_16811,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(cons(sk9,nil),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(cons(sk9,nil))
| ~ memberP(cons(sk9,sk7),X0) ),
inference(superposition,[status(thm)],[c_12359,c_405]) ).
tcf(c_16812,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(cons(sk9,nil),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(cons(sk9,nil))
| ~ memberP(cons(sk9,sk8),X0) ),
inference(superposition,[status(thm)],[c_12360,c_405]) ).
tcf(c_16813,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf46(iPr_def_16,sk8),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0)
| ~ ssList(skaf46(iPr_def_16,sk8)) ),
inference(superposition,[status(thm)],[c_12970,c_405]) ).
tcf(c_16817,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf45(iPr_def_13,sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(skaf45(iPr_def_13,sk7)) ),
inference(superposition,[status(thm)],[c_13166,c_405]) ).
tcf(c_16821,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| memberP(sk8,X0)
| ~ ssList(iPr_def_15)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16775,c_6482]) ).
tcf(c_16827,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16774,c_9488,c_9527]) ).
tcf(c_16832,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(sk7,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16773,c_9489,c_6483]) ).
tcf(c_16837,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf45(iPr_def_13,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16817,c_6483,c_298]) ).
tcf(c_16842,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf46(iPr_def_16,sk8),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16813,c_6482,c_297]) ).
tcf(c_16847,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(cons(sk9,nil),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk9,nil))
| ~ memberP(cons(sk9,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16812,c_6482]) ).
tcf(c_16853,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(cons(sk9,nil),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk9,nil))
| ~ memberP(cons(sk9,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16811,c_6483]) ).
tcf(c_16859,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(cons(sk9,nil),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk9,nil))
| ~ memberP(cons(sk9,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16810,c_6486]) ).
tcf(c_16972,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != nil ) ),
inference(superposition,[status(thm)],[c_559,c_397]) ).
tcf(c_16973,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssList(X0)
| ( app(sk7,X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6474,c_397]) ).
tcf(c_16974,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6476,c_397]) ).
tcf(c_16975,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(iPr_def_15)
| ~ ssList(sk8)
| ~ ssList(X0)
| ( app(iPr_def_15,X0) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6477,c_397]) ).
tcf(c_16976,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ( app(sk4,X0) != sk4 ) ),
inference(superposition,[status(thm)],[c_9101,c_397]) ).
tcf(c_16977,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssList(X0)
| ( app(sk7,X0) != sk7 ) ),
inference(superposition,[status(thm)],[c_9102,c_397]) ).
tcf(c_16978,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(sk8)
| ~ ssList(X0)
| ( app(sk8,X0) != sk8 ) ),
inference(superposition,[status(thm)],[c_9103,c_397]) ).
tcf(c_16979,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf82(X0))
| ( app(skaf82(X0),X1) != skaf82(X0) ) ),
inference(superposition,[status(thm)],[c_9105,c_397]) ).
tcf(c_16980,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf81(X0))
| ( app(skaf81(X0),X1) != skaf81(X0) ) ),
inference(superposition,[status(thm)],[c_9106,c_397]) ).
tcf(c_16981,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf80(X0))
| ( app(skaf80(X0),X1) != skaf80(X0) ) ),
inference(superposition,[status(thm)],[c_9107,c_397]) ).
tcf(c_16982,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf77(X0))
| ( app(skaf77(X0),X1) != skaf77(X0) ) ),
inference(superposition,[status(thm)],[c_9108,c_397]) ).
tcf(c_16983,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf76(X0))
| ( app(skaf76(X0),X1) != skaf76(X0) ) ),
inference(superposition,[status(thm)],[c_9109,c_397]) ).
tcf(c_16984,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf75(X0))
| ( app(skaf75(X0),X1) != skaf75(X0) ) ),
inference(superposition,[status(thm)],[c_9110,c_397]) ).
tcf(c_16985,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf73(X0))
| ( app(skaf73(X0),X1) != skaf73(X0) ) ),
inference(superposition,[status(thm)],[c_9111,c_397]) ).
tcf(c_16986,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf72(X0))
| ( app(skaf72(X0),X1) != skaf72(X0) ) ),
inference(superposition,[status(thm)],[c_9112,c_397]) ).
tcf(c_16987,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf71(X0))
| ( app(skaf71(X0),X1) != skaf71(X0) ) ),
inference(superposition,[status(thm)],[c_9113,c_397]) ).
tcf(c_16988,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf68(X0))
| ( app(skaf68(X0),X1) != skaf68(X0) ) ),
inference(superposition,[status(thm)],[c_9114,c_397]) ).
tcf(c_16989,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf67(X0))
| ( app(skaf67(X0),X1) != skaf67(X0) ) ),
inference(superposition,[status(thm)],[c_9115,c_397]) ).
tcf(c_16990,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf66(X0))
| ( app(skaf66(X0),X1) != skaf66(X0) ) ),
inference(superposition,[status(thm)],[c_9116,c_397]) ).
tcf(c_16991,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf63(X0))
| ( app(skaf63(X0),X1) != skaf63(X0) ) ),
inference(superposition,[status(thm)],[c_9117,c_397]) ).
tcf(c_16992,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf62(X0))
| ( app(skaf62(X0),X1) != skaf62(X0) ) ),
inference(superposition,[status(thm)],[c_9118,c_397]) ).
tcf(c_16993,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf61(X0))
| ( app(skaf61(X0),X1) != skaf61(X0) ) ),
inference(superposition,[status(thm)],[c_9119,c_397]) ).
tcf(c_16994,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf58(X0))
| ( app(skaf58(X0),X1) != skaf58(X0) ) ),
inference(superposition,[status(thm)],[c_9120,c_397]) ).
tcf(c_16995,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf57(X0))
| ( app(skaf57(X0),X1) != skaf57(X0) ) ),
inference(superposition,[status(thm)],[c_9121,c_397]) ).
tcf(c_16996,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf56(X0))
| ( app(skaf56(X0),X1) != skaf56(X0) ) ),
inference(superposition,[status(thm)],[c_9122,c_397]) ).
tcf(c_16997,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf53(X0))
| ( app(skaf53(X0),X1) != skaf53(X0) ) ),
inference(superposition,[status(thm)],[c_9123,c_397]) ).
tcf(c_16998,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf52(X0))
| ( app(skaf52(X0),X1) != skaf52(X0) ) ),
inference(superposition,[status(thm)],[c_9124,c_397]) ).
tcf(c_16999,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(iPr_def_16,X0) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9132,c_397]) ).
tcf(c_17000,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ( app(nil,X0) != sk4 ) ),
inference(superposition,[status(thm)],[c_9196,c_397]) ).
tcf(c_17001,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssList(X0)
| ( app(nil,X0) != sk7 ) ),
inference(superposition,[status(thm)],[c_9197,c_397]) ).
tcf(c_17002,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(nil)
| ~ ssList(sk8)
| ~ ssList(X0)
| ( app(nil,X0) != sk8 ) ),
inference(superposition,[status(thm)],[c_9198,c_397]) ).
tcf(c_17003,plain,
! [X0: $i] :
( ( X0 = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9227,c_397]) ).
tcf(c_17004,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9514,c_397]) ).
tcf(c_17005,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(iPr_def_14,X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9515,c_397]) ).
tcf(c_17006,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9517,c_397]) ).
tcf(c_17007,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9518,c_397]) ).
tcf(c_17008,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9530,c_397]) ).
tcf(c_17009,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9531,c_397]) ).
tcf(c_17010,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ( app(cons(sk9,nil),X0) != cons(sk9,sk4) ) ),
inference(superposition,[status(thm)],[c_12358,c_397]) ).
tcf(c_17011,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ( app(cons(sk9,nil),X0) != cons(sk9,sk7) ) ),
inference(superposition,[status(thm)],[c_12359,c_397]) ).
tcf(c_17012,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ( app(cons(sk9,nil),X0) != cons(sk9,sk8) ) ),
inference(superposition,[status(thm)],[c_12360,c_397]) ).
tcf(c_17013,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_16,sk8))
| ( app(skaf46(iPr_def_16,sk8),X0) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_12970,c_397]) ).
tcf(c_17014,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,sk4))
| ( app(skaf46(sk4,sk4),X0) != sk4 ) ),
inference(superposition,[status(thm)],[c_12959,c_397]) ).
tcf(c_17015,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(sk7,sk7))
| ( app(skaf46(sk7,sk7),X0) != sk7 ) ),
inference(superposition,[status(thm)],[c_12958,c_397]) ).
tcf(c_17016,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(sk8,sk8))
| ( app(skaf46(sk8,sk8),X0) != sk8 ) ),
inference(superposition,[status(thm)],[c_12957,c_397]) ).
tcf(c_17017,plain,
! [X0: $i] :
( ( skaf45(iPr_def_13,sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_13,sk7))
| ( app(sk7,X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_13166,c_397]) ).
tcf(c_17018,plain,
! [X0: $i] :
( ( skaf45(sk4,sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(sk4,sk4))
| ( app(sk4,X0) != sk4 ) ),
inference(superposition,[status(thm)],[c_13149,c_397]) ).
tcf(c_17019,plain,
! [X0: $i] :
( ( skaf45(sk7,sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(sk7,sk7))
| ( app(sk7,X0) != sk7 ) ),
inference(superposition,[status(thm)],[c_13148,c_397]) ).
tcf(c_17020,plain,
! [X0: $i] :
( ( skaf45(sk8,sk8) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(sk8,sk8))
| ( app(sk8,X0) != sk8 ) ),
inference(superposition,[status(thm)],[c_13147,c_397]) ).
tcf(c_17022,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(nil,X0) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16972,c_255]) ).
tcf(c_17026,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17009,c_9527,c_255]) ).
tcf(c_17030,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17008,c_9527,c_255]) ).
tcf(c_17034,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17007,c_9489,c_255]) ).
tcf(c_17038,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17006,c_9489,c_255]) ).
tcf(c_17042,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_14,X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17005,c_9488,c_255]) ).
tcf(c_17046,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17004,c_9488,c_255]) ).
tcf(c_17050,plain,
! [X0: $i] :
( ( X0 = iPr_def_16 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17003,c_9020,c_255]) ).
tcf(c_17054,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ( app(nil,X0) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17002,c_255,c_6482]) ).
tcf(c_17058,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(nil,X0) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17001,c_255,c_6483]) ).
tcf(c_17062,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(nil,X0) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17000,c_255,c_6486]) ).
tcf(c_17066,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_16,X0) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16999,c_9020,c_255]) ).
tcf(c_17070,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sk8,X0) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16978,c_255,c_6482]) ).
tcf(c_17074,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sk7,X0) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16977,c_255,c_6483]) ).
tcf(c_17078,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sk4,X0) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16976,c_255,c_6486]) ).
tcf(c_17082,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ( app(iPr_def_15,X0) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16975,c_6482]) ).
tcf(c_17087,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16974,c_9488,c_9527]) ).
tcf(c_17091,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(sk7,X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16973,c_9489,c_6483]) ).
tcf(c_17095,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf52(X0),X1) != skaf52(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16998,c_255,c_290]) ).
tcf(c_17099,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf53(X0),X1) != skaf53(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16997,c_255,c_289]) ).
tcf(c_17103,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf56(X0),X1) != skaf56(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16996,c_255,c_286]) ).
tcf(c_17107,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf57(X0),X1) != skaf57(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16995,c_255,c_285]) ).
tcf(c_17111,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf58(X0),X1) != skaf58(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16994,c_255,c_284]) ).
tcf(c_17115,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf61(X0),X1) != skaf61(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16993,c_255,c_281]) ).
tcf(c_17119,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf62(X0),X1) != skaf62(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16992,c_255,c_280]) ).
tcf(c_17123,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf63(X0),X1) != skaf63(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16991,c_255,c_279]) ).
tcf(c_17127,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf66(X0),X1) != skaf66(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16990,c_255,c_276]) ).
tcf(c_17131,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf67(X0),X1) != skaf67(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16989,c_255,c_275]) ).
tcf(c_17135,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf68(X0),X1) != skaf68(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16988,c_255,c_274]) ).
tcf(c_17139,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf71(X0),X1) != skaf71(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16987,c_255,c_271]) ).
tcf(c_17143,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf72(X0),X1) != skaf72(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16986,c_255,c_270]) ).
tcf(c_17147,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf73(X0),X1) != skaf73(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16985,c_255,c_269]) ).
tcf(c_17151,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf75(X0),X1) != skaf75(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16984,c_255,c_267]) ).
tcf(c_17155,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf76(X0),X1) != skaf76(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16983,c_255,c_266]) ).
tcf(c_17159,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf77(X0),X1) != skaf77(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16982,c_255,c_265]) ).
tcf(c_17163,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf80(X0),X1) != skaf80(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16981,c_255,c_262]) ).
tcf(c_17167,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf81(X0),X1) != skaf81(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16980,c_255,c_261]) ).
tcf(c_17171,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf82(X0),X1) != skaf82(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16979,c_255,c_260]) ).
tcf(c_17175,plain,
! [X0: $i] :
( ( skaf45(sk8,sk8) = X0 )
| ~ ssList(X0)
| ( app(sk8,X0) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17020,c_6482,c_298]) ).
tcf(c_17179,plain,
! [X0: $i] :
( ( skaf45(sk7,sk7) = X0 )
| ~ ssList(X0)
| ( app(sk7,X0) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17019,c_6483,c_298]) ).
tcf(c_17183,plain,
! [X0: $i] :
( ( skaf45(sk4,sk4) = X0 )
| ~ ssList(X0)
| ( app(sk4,X0) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17018,c_6486,c_298]) ).
tcf(c_17187,plain,
! [X0: $i] :
( ( skaf45(iPr_def_13,sk7) = X0 )
| ~ ssList(X0)
| ( app(sk7,X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17017,c_6483,c_298]) ).
tcf(c_17191,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ( app(skaf46(sk8,sk8),X0) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17016,c_6482,c_297]) ).
tcf(c_17195,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(skaf46(sk7,sk7),X0) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17015,c_6483,c_297]) ).
tcf(c_17199,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(skaf46(sk4,sk4),X0) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17014,c_6486,c_297]) ).
tcf(c_17203,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ( app(skaf46(iPr_def_16,sk8),X0) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17013,c_6482,c_297]) ).
tcf(c_17207,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ( app(cons(sk9,nil),X0) != cons(sk9,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17012,c_6482]) ).
tcf(c_17212,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ( app(cons(sk9,nil),X0) != cons(sk9,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17011,c_6483]) ).
tcf(c_17217,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ( app(cons(sk9,nil),X0) != cons(sk9,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17010,c_6486]) ).
tcf(c_17236,plain,
( ( skaf45(sk4,sk4) = nil )
| ~ ssList(nil)
| ( app(sk4,nil) != sk4 ) ),
inference(instantiation,[status(thm)],[c_17183]) ).
tcf(c_17237,plain,
( ( skaf45(sk7,sk7) = nil )
| ~ ssList(nil)
| ( app(sk7,nil) != sk7 ) ),
inference(instantiation,[status(thm)],[c_17179]) ).
tcf(c_17238,plain,
( ( skaf45(sk8,sk8) = nil )
| ~ ssList(nil)
| ( app(sk8,nil) != sk8 ) ),
inference(instantiation,[status(thm)],[c_17175]) ).
tcf(c_17349,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ rearsegP(X0,skaf52(X1)) ),
inference(superposition,[status(thm)],[c_16198,c_400]) ).
tcf(c_17350,plain,
! [X0: $i] :
( ( app(skaf46(skaf52(X0),nil),nil) = skaf52(X0) )
| ~ ssList(nil)
| ~ ssList(skaf52(X0)) ),
inference(superposition,[status(thm)],[c_16198,c_378]) ).
tcf(c_17351,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf52(X0))
| ~ rearsegP(nil,skaf52(X0)) ),
inference(superposition,[status(thm)],[c_16198,c_375]) ).
tcf(c_17352,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ~ rearsegP(nil,skaf52(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17351,c_255,c_290]) ).
tcf(c_17355,plain,
! [X0: $i] : app(skaf46(skaf52(X0),nil),nil) = skaf52(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_17350,c_255,c_290]) ).
tcf(c_17360,plain,
! [X0: $i] :
( ( app(skaf81(X0),skaf45(skaf81(X0),skaf81(X0))) = skaf81(X0) )
| ~ ssList(skaf81(X0)) ),
inference(superposition,[status(thm)],[c_9829,c_379]) ).
tcf(c_17362,plain,
! [X0: $i] : app(skaf81(X0),skaf45(skaf81(X0),skaf81(X0))) = skaf81(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_17360,c_261]) ).
tcf(c_17365,plain,
! [X0: $i] :
( ( app(skaf82(X0),skaf45(skaf82(X0),skaf82(X0))) = skaf82(X0) )
| ~ ssList(skaf82(X0)) ),
inference(superposition,[status(thm)],[c_9830,c_379]) ).
tcf(c_17367,plain,
! [X0: $i] : app(skaf82(X0),skaf45(skaf82(X0),skaf82(X0))) = skaf82(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_17365,c_260]) ).
tcf(c_17370,plain,
! [X0: $i] :
( ( app(skaf72(X0),skaf45(skaf72(X0),skaf72(X0))) = skaf72(X0) )
| ~ ssList(skaf72(X0)) ),
inference(superposition,[status(thm)],[c_9852,c_379]) ).
tcf(c_17372,plain,
! [X0: $i] : app(skaf72(X0),skaf45(skaf72(X0),skaf72(X0))) = skaf72(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_17370,c_270]) ).
tcf(c_17374,plain,
rearsegP(cons(sk9,sk8),sk8),
inference(global_subsumption_just,[status(thm)],[c_15008,c_443,c_255,c_11180,c_15008]) ).
tcf(c_17376,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk8))
| ~ rearsegP(X0,cons(sk9,sk8)) ),
inference(superposition,[status(thm)],[c_17374,c_400]) ).
tcf(c_17377,plain,
( ( app(skaf46(cons(sk9,sk8),sk8),sk8) = cons(sk9,sk8) )
| ~ ssList(sk8)
| ~ ssList(cons(sk9,sk8)) ),
inference(superposition,[status(thm)],[c_17374,c_378]) ).
tcf(c_17378,plain,
( ( cons(sk9,sk8) = sk8 )
| ~ ssList(sk8)
| ~ ssList(cons(sk9,sk8))
| ~ rearsegP(sk8,cons(sk9,sk8)) ),
inference(superposition,[status(thm)],[c_17374,c_375]) ).
tcf(c_17379,plain,
( ( cons(sk9,sk8) = sk8 )
| ~ rearsegP(sk8,cons(sk9,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17378,c_6482,c_15373]) ).
tcf(c_17382,plain,
app(skaf46(cons(sk9,sk8),sk8),sk8) = cons(sk9,sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_17377,c_6482,c_15373]) ).
tcf(c_17383,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk9,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17376,c_6482,c_15373]) ).
tcf(c_17395,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),sk8)
| ~ ssList(iPr_def_16)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,iPr_def_16)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_383,c_15170]) ).
tcf(c_17396,plain,
! [X0: $i] :
( rearsegP(app(X0,iPr_def_16),sk8)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_807,c_15170]) ).
tcf(c_17398,plain,
! [X0: $i] :
( rearsegP(app(X0,iPr_def_16),sk8)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17396,c_9020]) ).
tcf(c_17402,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,iPr_def_16)
| ~ ssList(app(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17395,c_9020]) ).
tcf(c_17416,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(iPr_def_13)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_13)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_384,c_15594]) ).
tcf(c_17417,plain,
! [X0: $i] :
( frontsegP(app(iPr_def_13,X0),sk7)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_808,c_15594]) ).
tcf(c_17418,plain,
( frontsegP(iPr_def_15,sk7)
| ~ ssList(iPr_def_15) ),
inference(superposition,[status(thm)],[c_9822,c_15594]) ).
tcf(c_17422,plain,
! [X0: $i] :
( frontsegP(app(iPr_def_13,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17417,c_9527]) ).
tcf(c_17426,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_13)
| ~ ssList(app(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17416,c_9527]) ).
tcf(c_17445,plain,
skaf45(sk8,sk8) = nil,
inference(global_subsumption_just,[status(thm)],[c_14107,c_255,c_9103,c_17238]) ).
tcf(c_17451,plain,
skaf45(sk7,sk7) = nil,
inference(global_subsumption_just,[status(thm)],[c_14135,c_255,c_9102,c_17237]) ).
tcf(c_17462,plain,
! [X0: $i] :
( frontsegP(skaf51(X0),skaf51(X0))
| ~ ssList(nil)
| ~ ssList(skaf51(X0)) ),
inference(superposition,[status(thm)],[c_9125,c_808]) ).
tcf(c_17463,plain,
! [X0: $i] :
( rearsegP(skaf51(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf51(X0)) ),
inference(superposition,[status(thm)],[c_9125,c_807]) ).
tcf(c_17464,plain,
! [X0: $i,X1: $i] :
( memberP(skaf51(X0),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ memberP(nil,X1)
| ~ ssList(skaf51(X0)) ),
inference(superposition,[status(thm)],[c_9125,c_388]) ).
tcf(c_17465,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf51(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ rearsegP(nil,X1)
| ~ ssList(skaf51(X0)) ),
inference(superposition,[status(thm)],[c_9125,c_383]) ).
tcf(c_17466,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf51(X0))
| ( app(skaf51(X0),X1) != skaf51(X0) ) ),
inference(superposition,[status(thm)],[c_9125,c_397]) ).
tcf(c_17469,plain,
! [X0: $i] : rearsegP(skaf51(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_17463,c_255,c_291]) ).
tcf(c_17470,plain,
! [X0: $i] : frontsegP(skaf51(X0),skaf51(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_17462,c_255,c_291]) ).
tcf(c_17471,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf51(X1),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17465,c_255,c_291]) ).
tcf(c_17476,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ( app(skaf51(X0),X1) != skaf51(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17466,c_255,c_291]) ).
tcf(c_17540,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != nil ) ),
inference(superposition,[status(thm)],[c_559,c_398]) ).
tcf(c_17541,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssList(X0)
| ( app(X0,iPr_def_12) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6474,c_398]) ).
tcf(c_17542,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ( app(X0,iPr_def_14) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6476,c_398]) ).
tcf(c_17543,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(sk8)
| ~ ssList(X0)
| ( app(X0,sk8) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6477,c_398]) ).
tcf(c_17544,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ( app(X0,nil) != sk4 ) ),
inference(superposition,[status(thm)],[c_9101,c_398]) ).
tcf(c_17545,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssList(X0)
| ( app(X0,nil) != sk7 ) ),
inference(superposition,[status(thm)],[c_9102,c_398]) ).
tcf(c_17546,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(nil)
| ~ ssList(sk8)
| ~ ssList(X0)
| ( app(X0,nil) != sk8 ) ),
inference(superposition,[status(thm)],[c_9103,c_398]) ).
tcf(c_17547,plain,
! [X0: $i,X1: $i] :
( ( skaf82(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf82(X1))
| ( app(X0,nil) != skaf82(X1) ) ),
inference(superposition,[status(thm)],[c_9105,c_398]) ).
tcf(c_17548,plain,
! [X0: $i,X1: $i] :
( ( skaf81(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf81(X1))
| ( app(X0,nil) != skaf81(X1) ) ),
inference(superposition,[status(thm)],[c_9106,c_398]) ).
tcf(c_17549,plain,
! [X0: $i,X1: $i] :
( ( skaf80(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf80(X1))
| ( app(X0,nil) != skaf80(X1) ) ),
inference(superposition,[status(thm)],[c_9107,c_398]) ).
tcf(c_17550,plain,
! [X0: $i,X1: $i] :
( ( skaf77(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ( app(X0,nil) != skaf77(X1) ) ),
inference(superposition,[status(thm)],[c_9108,c_398]) ).
tcf(c_17551,plain,
! [X0: $i,X1: $i] :
( ( skaf76(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ( app(X0,nil) != skaf76(X1) ) ),
inference(superposition,[status(thm)],[c_9109,c_398]) ).
tcf(c_17552,plain,
! [X0: $i,X1: $i] :
( ( skaf75(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ( app(X0,nil) != skaf75(X1) ) ),
inference(superposition,[status(thm)],[c_9110,c_398]) ).
tcf(c_17553,plain,
! [X0: $i,X1: $i] :
( ( skaf73(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ( app(X0,nil) != skaf73(X1) ) ),
inference(superposition,[status(thm)],[c_9111,c_398]) ).
tcf(c_17554,plain,
! [X0: $i,X1: $i] :
( ( skaf72(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ( app(X0,nil) != skaf72(X1) ) ),
inference(superposition,[status(thm)],[c_9112,c_398]) ).
tcf(c_17555,plain,
! [X0: $i,X1: $i] :
( ( skaf71(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ( app(X0,nil) != skaf71(X1) ) ),
inference(superposition,[status(thm)],[c_9113,c_398]) ).
tcf(c_17556,plain,
! [X0: $i,X1: $i] :
( ( skaf68(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ( app(X0,nil) != skaf68(X1) ) ),
inference(superposition,[status(thm)],[c_9114,c_398]) ).
tcf(c_17557,plain,
! [X0: $i,X1: $i] :
( ( skaf67(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ( app(X0,nil) != skaf67(X1) ) ),
inference(superposition,[status(thm)],[c_9115,c_398]) ).
tcf(c_17558,plain,
! [X0: $i,X1: $i] :
( ( skaf66(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ( app(X0,nil) != skaf66(X1) ) ),
inference(superposition,[status(thm)],[c_9116,c_398]) ).
tcf(c_17559,plain,
! [X0: $i,X1: $i] :
( ( skaf63(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ( app(X0,nil) != skaf63(X1) ) ),
inference(superposition,[status(thm)],[c_9117,c_398]) ).
tcf(c_17560,plain,
! [X0: $i,X1: $i] :
( ( skaf62(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ( app(X0,nil) != skaf62(X1) ) ),
inference(superposition,[status(thm)],[c_9118,c_398]) ).
tcf(c_17561,plain,
! [X0: $i,X1: $i] :
( ( skaf61(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ( app(X0,nil) != skaf61(X1) ) ),
inference(superposition,[status(thm)],[c_9119,c_398]) ).
tcf(c_17562,plain,
! [X0: $i,X1: $i] :
( ( skaf58(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ( app(X0,nil) != skaf58(X1) ) ),
inference(superposition,[status(thm)],[c_9120,c_398]) ).
tcf(c_17563,plain,
! [X0: $i,X1: $i] :
( ( skaf57(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ( app(X0,nil) != skaf57(X1) ) ),
inference(superposition,[status(thm)],[c_9121,c_398]) ).
tcf(c_17564,plain,
! [X0: $i,X1: $i] :
( ( skaf56(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ( app(X0,nil) != skaf56(X1) ) ),
inference(superposition,[status(thm)],[c_9122,c_398]) ).
tcf(c_17565,plain,
! [X0: $i,X1: $i] :
( ( skaf53(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ( app(X0,nil) != skaf53(X1) ) ),
inference(superposition,[status(thm)],[c_9123,c_398]) ).
tcf(c_17566,plain,
! [X0: $i,X1: $i] :
( ( skaf52(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ( app(X0,nil) != skaf52(X1) ) ),
inference(superposition,[status(thm)],[c_9124,c_398]) ).
tcf(c_17567,plain,
! [X0: $i,X1: $i] :
( ( skaf51(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ( app(X0,nil) != skaf51(X1) ) ),
inference(superposition,[status(thm)],[c_9125,c_398]) ).
tcf(c_17568,plain,
! [X0: $i] :
( ( X0 = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9132,c_398]) ).
tcf(c_17569,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ( app(X0,sk4) != sk4 ) ),
inference(superposition,[status(thm)],[c_9196,c_398]) ).
tcf(c_17570,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssList(X0)
| ( app(X0,sk7) != sk7 ) ),
inference(superposition,[status(thm)],[c_9197,c_398]) ).
tcf(c_17571,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(sk8)
| ~ ssList(X0)
| ( app(X0,sk8) != sk8 ) ),
inference(superposition,[status(thm)],[c_9198,c_398]) ).
tcf(c_17572,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,iPr_def_16) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9227,c_398]) ).
tcf(c_17573,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,iPr_def_14) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9514,c_398]) ).
tcf(c_17574,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9515,c_398]) ).
tcf(c_17575,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9517,c_398]) ).
tcf(c_17576,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9518,c_398]) ).
tcf(c_17577,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,iPr_def_13) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9530,c_398]) ).
tcf(c_17578,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9531,c_398]) ).
tcf(c_17579,plain,
! [X0: $i] :
( ( cons(sk9,nil) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ( app(X0,sk4) != cons(sk9,sk4) ) ),
inference(superposition,[status(thm)],[c_12358,c_398]) ).
tcf(c_17580,plain,
! [X0: $i] :
( ( cons(sk9,nil) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ( app(X0,sk7) != cons(sk9,sk7) ) ),
inference(superposition,[status(thm)],[c_12359,c_398]) ).
tcf(c_17581,plain,
! [X0: $i] :
( ( cons(sk9,nil) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ( app(X0,sk8) != cons(sk9,sk8) ) ),
inference(superposition,[status(thm)],[c_12360,c_398]) ).
tcf(c_17582,plain,
! [X0: $i] :
( ( skaf46(iPr_def_16,sk8) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_16,sk8))
| ( app(X0,sk8) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_12970,c_398]) ).
tcf(c_17583,plain,
! [X0: $i] :
( ( skaf46(sk4,sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,sk4))
| ( app(X0,sk4) != sk4 ) ),
inference(superposition,[status(thm)],[c_12959,c_398]) ).
tcf(c_17584,plain,
! [X0: $i] :
( ( skaf46(sk7,sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(sk7,sk7))
| ( app(X0,sk7) != sk7 ) ),
inference(superposition,[status(thm)],[c_12958,c_398]) ).
tcf(c_17585,plain,
! [X0: $i] :
( ( skaf46(sk8,sk8) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(sk8,sk8))
| ( app(X0,sk8) != sk8 ) ),
inference(superposition,[status(thm)],[c_12957,c_398]) ).
tcf(c_17586,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_13,sk7))
| ( app(X0,skaf45(iPr_def_13,sk7)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_13166,c_398]) ).
tcf(c_17587,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(sk4,sk4))
| ( app(X0,skaf45(sk4,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_13149,c_398]) ).
tcf(c_17589,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,nil) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17540,c_255]) ).
tcf(c_17593,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17578,c_9527,c_255]) ).
tcf(c_17597,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_13) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17577,c_9527,c_255]) ).
tcf(c_17601,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17576,c_9489,c_255]) ).
tcf(c_17605,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_12) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17575,c_9489,c_255]) ).
tcf(c_17609,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17574,c_9488,c_255]) ).
tcf(c_17613,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_14) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17573,c_9488,c_255]) ).
tcf(c_17617,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_16) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17572,c_9020,c_255]) ).
tcf(c_17621,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sk8) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17571,c_255,c_6482]) ).
tcf(c_17625,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sk7) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17570,c_255,c_6483]) ).
tcf(c_17629,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sk4) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17569,c_255,c_6486]) ).
tcf(c_17633,plain,
! [X0: $i] :
( ( X0 = iPr_def_16 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17568,c_9020,c_255]) ).
tcf(c_17637,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ( app(X0,nil) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17546,c_255,c_6482]) ).
tcf(c_17641,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(X0,nil) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17545,c_255,c_6483]) ).
tcf(c_17645,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(X0,nil) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17544,c_255,c_6486]) ).
tcf(c_17649,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ( app(X0,sk8) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17543,c_6482]) ).
tcf(c_17654,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(X0)
| ( app(X0,iPr_def_14) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17542,c_9488,c_9527]) ).
tcf(c_17658,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(X0,iPr_def_12) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17541,c_9489,c_6483]) ).
tcf(c_17662,plain,
! [X0: $i,X1: $i] :
( ( skaf51(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf51(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17567,c_255,c_291]) ).
tcf(c_17666,plain,
! [X0: $i,X1: $i] :
( ( skaf52(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf52(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17566,c_255,c_290]) ).
tcf(c_17670,plain,
! [X0: $i,X1: $i] :
( ( skaf53(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf53(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17565,c_255,c_289]) ).
tcf(c_17674,plain,
! [X0: $i,X1: $i] :
( ( skaf56(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf56(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17564,c_255,c_286]) ).
tcf(c_17678,plain,
! [X0: $i,X1: $i] :
( ( skaf57(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf57(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17563,c_255,c_285]) ).
tcf(c_17682,plain,
! [X0: $i,X1: $i] :
( ( skaf58(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf58(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17562,c_255,c_284]) ).
tcf(c_17686,plain,
! [X0: $i,X1: $i] :
( ( skaf61(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf61(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17561,c_255,c_281]) ).
tcf(c_17690,plain,
! [X0: $i,X1: $i] :
( ( skaf62(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf62(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17560,c_255,c_280]) ).
tcf(c_17694,plain,
! [X0: $i,X1: $i] :
( ( skaf63(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf63(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17559,c_255,c_279]) ).
tcf(c_17698,plain,
! [X0: $i,X1: $i] :
( ( skaf66(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf66(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17558,c_255,c_276]) ).
tcf(c_17702,plain,
! [X0: $i,X1: $i] :
( ( skaf67(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf67(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17557,c_255,c_275]) ).
tcf(c_17706,plain,
! [X0: $i,X1: $i] :
( ( skaf68(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf68(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17556,c_255,c_274]) ).
tcf(c_17710,plain,
! [X0: $i,X1: $i] :
( ( skaf71(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf71(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17555,c_255,c_271]) ).
tcf(c_17714,plain,
! [X0: $i,X1: $i] :
( ( skaf72(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf72(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17554,c_255,c_270]) ).
tcf(c_17718,plain,
! [X0: $i,X1: $i] :
( ( skaf73(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf73(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17553,c_255,c_269]) ).
tcf(c_17722,plain,
! [X0: $i,X1: $i] :
( ( skaf75(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf75(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17552,c_255,c_267]) ).
tcf(c_17726,plain,
! [X0: $i,X1: $i] :
( ( skaf76(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf76(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17551,c_255,c_266]) ).
tcf(c_17730,plain,
! [X0: $i,X1: $i] :
( ( skaf77(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf77(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17550,c_255,c_265]) ).
tcf(c_17734,plain,
! [X0: $i,X1: $i] :
( ( skaf80(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf80(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17549,c_255,c_262]) ).
tcf(c_17738,plain,
! [X0: $i,X1: $i] :
( ( skaf81(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf81(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17548,c_255,c_261]) ).
tcf(c_17742,plain,
! [X0: $i,X1: $i] :
( ( skaf82(X1) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != skaf82(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17547,c_255,c_260]) ).
tcf(c_17746,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(X0,skaf45(sk4,sk4)) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17587,c_6486,c_298]) ).
tcf(c_17750,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(X0,skaf45(iPr_def_13,sk7)) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17586,c_6483,c_298]) ).
tcf(c_17754,plain,
! [X0: $i] :
( ( skaf46(sk8,sk8) = X0 )
| ~ ssList(X0)
| ( app(X0,sk8) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17585,c_6482,c_297]) ).
tcf(c_17758,plain,
! [X0: $i] :
( ( skaf46(sk7,sk7) = X0 )
| ~ ssList(X0)
| ( app(X0,sk7) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17584,c_6483,c_297]) ).
tcf(c_17762,plain,
! [X0: $i] :
( ( skaf46(sk4,sk4) = X0 )
| ~ ssList(X0)
| ( app(X0,sk4) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17583,c_6486,c_297]) ).
tcf(c_17766,plain,
! [X0: $i] :
( ( skaf46(iPr_def_16,sk8) = X0 )
| ~ ssList(X0)
| ( app(X0,sk8) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17582,c_6482,c_297]) ).
tcf(c_17770,plain,
! [X0: $i] :
( ( cons(sk9,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ( app(X0,sk8) != cons(sk9,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17581,c_6482]) ).
tcf(c_17775,plain,
! [X0: $i] :
( ( cons(sk9,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ( app(X0,sk7) != cons(sk9,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17580,c_6483]) ).
tcf(c_17780,plain,
! [X0: $i] :
( ( cons(sk9,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ( app(X0,sk4) != cons(sk9,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17579,c_6486]) ).
tcf(c_17908,plain,
! [X0: $i] :
( totalorderedP(cons(hd(X0),X0))
| ( X0 = nil )
| ~ totalorderedP(X0)
| ~ ssList(X0)
| ~ ssItem(hd(X0)) ),
inference(superposition,[status(thm)],[c_309,c_406]) ).
tcf(c_17909,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,sk4)))
| ( cons(sk5,sk4) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,sk4))
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_10649,c_406]) ).
tcf(c_17910,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,sk7)))
| ( cons(sk5,sk7) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,sk7))
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_10650,c_406]) ).
tcf(c_17911,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,sk8)))
| ( cons(sk5,sk8) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,sk8))
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_10651,c_406]) ).
tcf(c_17912,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,sk4)))
| ( cons(sk6,sk4) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,sk4))
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_11221,c_406]) ).
tcf(c_17913,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,sk7)))
| ( cons(sk6,sk7) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,sk7))
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_11222,c_406]) ).
tcf(c_17914,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,sk8)))
| ( cons(sk6,sk8) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,sk8))
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_11223,c_406]) ).
tcf(c_17915,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk9,sk4)))
| ( cons(sk9,sk4) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk9)
| ~ totalorderedP(cons(sk9,sk4))
| ~ ssList(cons(sk9,sk4)) ),
inference(superposition,[status(thm)],[c_11345,c_406]) ).
tcf(c_17916,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk9,sk7)))
| ( cons(sk9,sk7) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk9)
| ~ totalorderedP(cons(sk9,sk7))
| ~ ssList(cons(sk9,sk7)) ),
inference(superposition,[status(thm)],[c_11346,c_406]) ).
tcf(c_17917,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk9,sk8)))
| ( cons(sk9,sk8) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk9)
| ~ totalorderedP(cons(sk9,sk8))
| ~ ssList(cons(sk9,sk8)) ),
inference(superposition,[status(thm)],[c_11347,c_406]) ).
tcf(c_17923,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk9,sk8)))
| ( cons(sk9,sk8) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk9)
| ~ totalorderedP(cons(sk9,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17917,c_15373]) ).
tcf(c_17929,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk9,sk7)))
| ( cons(sk9,sk7) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk9)
| ~ totalorderedP(cons(sk9,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17916,c_14920]) ).
tcf(c_17935,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk9,sk4)))
| ( cons(sk9,sk4) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk9)
| ~ totalorderedP(cons(sk9,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17915,c_12535]) ).
tcf(c_18089,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,sk4)))
| ( cons(sk5,sk4) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,sk4))
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_10649,c_407]) ).
tcf(c_18090,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,sk7)))
| ( cons(sk5,sk7) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,sk7))
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_10650,c_407]) ).
tcf(c_18091,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,sk8)))
| ( cons(sk5,sk8) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,sk8))
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_10651,c_407]) ).
tcf(c_18092,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,sk4)))
| ( cons(sk6,sk4) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,sk4))
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_11221,c_407]) ).
tcf(c_18093,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,sk7)))
| ( cons(sk6,sk7) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,sk7))
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_11222,c_407]) ).
tcf(c_18094,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,sk8)))
| ( cons(sk6,sk8) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,sk8))
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_11223,c_407]) ).
tcf(c_18095,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk9,sk4)))
| ( cons(sk9,sk4) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk9)
| ~ strictorderedP(cons(sk9,sk4))
| ~ ssList(cons(sk9,sk4)) ),
inference(superposition,[status(thm)],[c_11345,c_407]) ).
tcf(c_18096,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk9,sk7)))
| ( cons(sk9,sk7) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk9)
| ~ strictorderedP(cons(sk9,sk7))
| ~ ssList(cons(sk9,sk7)) ),
inference(superposition,[status(thm)],[c_11346,c_407]) ).
tcf(c_18097,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk9,sk8)))
| ( cons(sk9,sk8) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk9)
| ~ strictorderedP(cons(sk9,sk8))
| ~ ssList(cons(sk9,sk8)) ),
inference(superposition,[status(thm)],[c_11347,c_407]) ).
tcf(c_18098,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk9,sk8)))
| ( cons(sk9,sk8) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk9)
| ~ strictorderedP(cons(sk9,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18097,c_15373]) ).
tcf(c_18104,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk9,sk7)))
| ( cons(sk9,sk7) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk9)
| ~ strictorderedP(cons(sk9,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18096,c_14920]) ).
tcf(c_18110,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk9,sk4)))
| ( cons(sk9,sk4) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk9)
| ~ strictorderedP(cons(sk9,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18095,c_12535]) ).
tcf(c_18175,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sk5 )
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_6473,c_408]) ).
tcf(c_18176,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_6475,c_408]) ).
tcf(c_18177,plain,
! [X0: $i] :
( memberP(tl(sk4),X0)
| ( sk4 = nil )
| ( hd(sk4) = X0 )
| ~ ssItem(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ memberP(sk4,X0) ),
inference(superposition,[status(thm)],[c_10766,c_408]) ).
tcf(c_18178,plain,
! [X0: $i] :
( memberP(tl(sk7),X0)
| ( sk7 = nil )
| ( hd(sk7) = X0 )
| ~ ssItem(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ memberP(sk7,X0) ),
inference(superposition,[status(thm)],[c_10767,c_408]) ).
tcf(c_18179,plain,
! [X0: $i] :
( memberP(tl(sk8),X0)
| ( sk8 = nil )
| ( hd(sk8) = X0 )
| ~ ssItem(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ memberP(sk8,X0) ),
inference(superposition,[status(thm)],[c_10768,c_408]) ).
tcf(c_18180,plain,
! [X0: $i] :
( memberP(skaf82(sk4),X0)
| ( sk4 = nil )
| ( skaf83(sk4) = X0 )
| ~ ssItem(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ memberP(sk4,X0) ),
inference(superposition,[status(thm)],[c_10982,c_408]) ).
tcf(c_18181,plain,
! [X0: $i] :
( memberP(skaf82(sk7),X0)
| ( sk7 = nil )
| ( skaf83(sk7) = X0 )
| ~ ssItem(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ memberP(sk7,X0) ),
inference(superposition,[status(thm)],[c_10983,c_408]) ).
tcf(c_18182,plain,
! [X0: $i] :
( memberP(skaf82(sk8),X0)
| ( sk8 = nil )
| ( skaf83(sk8) = X0 )
| ~ ssItem(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ memberP(sk8,X0) ),
inference(superposition,[status(thm)],[c_10984,c_408]) ).
tcf(c_18183,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sk6 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18176,c_6484,c_255]) ).
tcf(c_18188,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sk5 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18175,c_6485,c_255]) ).
tcf(c_18193,plain,
! [X0: $i] :
( memberP(skaf82(sk8),X0)
| ( sk8 = nil )
| ( skaf83(sk8) = X0 )
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18182,c_259,c_260]) ).
tcf(c_18199,plain,
! [X0: $i] :
( memberP(skaf82(sk7),X0)
| ( sk7 = nil )
| ( skaf83(sk7) = X0 )
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18181,c_259,c_260]) ).
tcf(c_18205,plain,
! [X0: $i] :
( memberP(skaf82(sk4),X0)
| ( sk4 = nil )
| ( skaf83(sk4) = X0 )
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18180,c_259,c_260]) ).
tcf(c_18277,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ rearsegP(X0,skaf51(X1)) ),
inference(superposition,[status(thm)],[c_17469,c_400]) ).
tcf(c_18278,plain,
! [X0: $i] :
( ( app(skaf46(skaf51(X0),nil),nil) = skaf51(X0) )
| ~ ssList(nil)
| ~ ssList(skaf51(X0)) ),
inference(superposition,[status(thm)],[c_17469,c_378]) ).
tcf(c_18279,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf51(X0))
| ~ rearsegP(nil,skaf51(X0)) ),
inference(superposition,[status(thm)],[c_17469,c_375]) ).
tcf(c_18280,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ~ rearsegP(nil,skaf51(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18279,c_255,c_291]) ).
tcf(c_18283,plain,
! [X0: $i] : app(skaf46(skaf51(X0),nil),nil) = skaf51(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_18278,c_255,c_291]) ).
tcf(c_18288,plain,
! [X0: $i] :
( ( app(skaf71(X0),skaf45(skaf71(X0),skaf71(X0))) = skaf71(X0) )
| ~ ssList(skaf71(X0)) ),
inference(superposition,[status(thm)],[c_10138,c_379]) ).
tcf(c_18290,plain,
! [X0: $i] : app(skaf71(X0),skaf45(skaf71(X0),skaf71(X0))) = skaf71(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_18288,c_271]) ).
tcf(c_18294,plain,
skaf45(sk4,sk4) = nil,
inference(global_subsumption_just,[status(thm)],[c_14177,c_255,c_9101,c_17236]) ).
tcf(c_18300,plain,
frontsegP(cons(sk9,sk4),cons(sk9,nil)),
inference(global_subsumption_just,[status(thm)],[c_12524,c_443,c_255,c_11180,c_12524]) ).
tcf(c_18302,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk9,nil))
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ ssList(cons(sk9,sk4))
| ~ frontsegP(X0,cons(sk9,sk4)) ),
inference(superposition,[status(thm)],[c_18300,c_401]) ).
tcf(c_18303,plain,
( ( app(cons(sk9,nil),skaf45(cons(sk9,sk4),cons(sk9,nil))) = cons(sk9,sk4) )
| ~ ssList(cons(sk9,nil))
| ~ ssList(cons(sk9,sk4)) ),
inference(superposition,[status(thm)],[c_18300,c_379]) ).
tcf(c_18304,plain,
( ( cons(sk9,sk4) = cons(sk9,nil) )
| ~ ssList(cons(sk9,nil))
| ~ ssList(cons(sk9,sk4))
| ~ frontsegP(cons(sk9,nil),cons(sk9,sk4)) ),
inference(superposition,[status(thm)],[c_18300,c_376]) ).
tcf(c_18305,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk9,nil))
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ frontsegP(X0,cons(sk9,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18302,c_12535]) ).
tcf(c_18310,plain,
( ( cons(sk9,sk4) = cons(sk9,nil) )
| ~ ssList(cons(sk9,nil))
| ~ frontsegP(cons(sk9,nil),cons(sk9,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18304,c_12535]) ).
tcf(c_18314,plain,
( ( app(cons(sk9,nil),skaf45(cons(sk9,sk4),cons(sk9,nil))) = cons(sk9,sk4) )
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18303,c_12535]) ).
tcf(c_18318,plain,
frontsegP(cons(sk9,sk7),cons(sk9,nil)),
inference(global_subsumption_just,[status(thm)],[c_12571,c_443,c_255,c_11180,c_12571]) ).
tcf(c_18320,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk9,nil))
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ ssList(cons(sk9,sk7))
| ~ frontsegP(X0,cons(sk9,sk7)) ),
inference(superposition,[status(thm)],[c_18318,c_401]) ).
tcf(c_18321,plain,
( ( app(cons(sk9,nil),skaf45(cons(sk9,sk7),cons(sk9,nil))) = cons(sk9,sk7) )
| ~ ssList(cons(sk9,nil))
| ~ ssList(cons(sk9,sk7)) ),
inference(superposition,[status(thm)],[c_18318,c_379]) ).
tcf(c_18322,plain,
( ( cons(sk9,sk7) = cons(sk9,nil) )
| ~ ssList(cons(sk9,nil))
| ~ ssList(cons(sk9,sk7))
| ~ frontsegP(cons(sk9,nil),cons(sk9,sk7)) ),
inference(superposition,[status(thm)],[c_18318,c_376]) ).
tcf(c_18323,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk9,nil))
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ frontsegP(X0,cons(sk9,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18320,c_14920]) ).
tcf(c_18328,plain,
( ( cons(sk9,sk7) = cons(sk9,nil) )
| ~ ssList(cons(sk9,nil))
| ~ frontsegP(cons(sk9,nil),cons(sk9,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18322,c_14920]) ).
tcf(c_18332,plain,
( ( app(cons(sk9,nil),skaf45(cons(sk9,sk7),cons(sk9,nil))) = cons(sk9,sk7) )
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18321,c_14920]) ).
tcf(c_18350,plain,
! [X0: $i] :
( ( skaf46(sk8,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf46(sk8,sk8))
| ~ ssList(skaf45(sk8,skaf46(sk8,sk8)))
| ( app(X0,skaf45(sk8,skaf46(sk8,sk8))) != sk8 ) ),
inference(superposition,[status(thm)],[c_13622,c_398]) ).
tcf(c_18352,plain,
! [X0: $i] :
( memberP(skaf46(sk8,sk8),X0)
| memberP(skaf45(sk8,skaf46(sk8,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(skaf46(sk8,sk8))
| ~ ssList(skaf45(sk8,skaf46(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_13622,c_405]) ).
tcf(c_18353,plain,
( ( skaf45(sk8,skaf46(sk8,sk8)) = nil )
| ~ ssList(skaf46(sk8,sk8))
| ~ ssList(skaf45(sk8,skaf46(sk8,sk8)))
| ( sk8 != nil ) ),
inference(superposition,[status(thm)],[c_13622,c_366]) ).
tcf(c_18354,plain,
( ( skaf46(sk8,sk8) = nil )
| ~ ssList(skaf46(sk8,sk8))
| ~ ssList(skaf45(sk8,skaf46(sk8,sk8)))
| ( sk8 != nil ) ),
inference(superposition,[status(thm)],[c_13622,c_365]) ).
tcf(c_18356,plain,
( rearsegP(sk8,skaf45(sk8,skaf46(sk8,sk8)))
| ~ ssList(skaf46(sk8,sk8))
| ~ ssList(skaf45(sk8,skaf46(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_13622,c_807]) ).
tcf(c_18357,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ~ ssItem(X0)
| ~ ssList(skaf46(sk8,sk8))
| ~ ssList(skaf45(sk8,skaf46(sk8,sk8)))
| ~ memberP(skaf45(sk8,skaf46(sk8,sk8)),X0) ),
inference(superposition,[status(thm)],[c_13622,c_388]) ).
tcf(c_18358,plain,
! [X0: $i] :
( rearsegP(sk8,X0)
| ~ ssList(X0)
| ~ ssList(skaf46(sk8,sk8))
| ~ ssList(skaf45(sk8,skaf46(sk8,sk8)))
| ~ rearsegP(skaf45(sk8,skaf46(sk8,sk8)),X0) ),
inference(superposition,[status(thm)],[c_13622,c_383]) ).
tcf(c_18359,plain,
! [X0: $i] :
( ( skaf45(sk8,skaf46(sk8,sk8)) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf46(sk8,sk8))
| ~ ssList(skaf45(sk8,skaf46(sk8,sk8)))
| ( app(skaf46(sk8,sk8),X0) != sk8 ) ),
inference(superposition,[status(thm)],[c_13622,c_397]) ).
tcf(c_18360,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ~ ssItem(X0)
| ~ ssList(skaf46(sk8,sk8))
| ~ memberP(skaf46(sk8,sk8),X0)
| ~ ssList(skaf45(sk8,skaf46(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_13622,c_387]) ).
tcf(c_18361,plain,
! [X0: $i] :
( frontsegP(sk8,X0)
| ~ ssList(X0)
| ~ ssList(skaf46(sk8,sk8))
| ~ frontsegP(skaf46(sk8,sk8),X0)
| ~ ssList(skaf45(sk8,skaf46(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_13622,c_384]) ).
tcf(c_18362,plain,
rearsegP(sk8,skaf45(sk8,skaf46(sk8,sk8))),
inference(forward_subsumption_resolution,[status(thm)],[c_18356,c_297,c_298]) ).
tcf(c_18366,plain,
( ( skaf45(sk8,skaf46(sk8,sk8)) = nil )
| ( sk8 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18353,c_297,c_298]) ).
tcf(c_18369,plain,
! [X0: $i] :
( rearsegP(sk8,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(sk8,skaf46(sk8,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18358,c_297,c_298]) ).
tcf(c_18373,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(sk8,skaf46(sk8,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18357,c_297,c_298]) ).
tcf(c_18377,plain,
! [X0: $i] :
( memberP(skaf46(sk8,sk8),X0)
| memberP(skaf45(sk8,skaf46(sk8,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18352,c_297,c_298]) ).
tcf(c_18382,plain,
! [X0: $i] :
( ( skaf45(sk8,skaf46(sk8,sk8)) = X0 )
| ~ ssList(X0)
| ( app(skaf46(sk8,sk8),X0) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18359,c_297,c_298]) ).
tcf(c_18386,plain,
! [X0: $i] :
( ( skaf46(sk8,sk8) = X0 )
| ~ ssList(X0)
| ( app(X0,skaf45(sk8,skaf46(sk8,sk8))) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18350,c_297,c_298]) ).
tcf(c_18408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf48(X0,X1) = X2 )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf48(X0,X1))
| ( skaf48(X0,X1) != app(X2,nil) ) ),
inference(superposition,[status(thm)],[c_9126,c_398]) ).
tcf(c_18413,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf48(X0,X1),skaf48(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf48(X0,X1)) ),
inference(superposition,[status(thm)],[c_9126,c_808]) ).
tcf(c_18414,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf48(X0,X1),nil)
| ~ ssList(nil)
| ~ ssList(skaf48(X0,X1)) ),
inference(superposition,[status(thm)],[c_9126,c_807]) ).
tcf(c_18415,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf48(X0,X1),X2)
| ~ ssList(nil)
| ~ ssItem(X2)
| ~ memberP(nil,X2)
| ~ ssList(skaf48(X0,X1)) ),
inference(superposition,[status(thm)],[c_9126,c_388]) ).
tcf(c_18416,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(skaf48(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf48(X0,X1)) ),
inference(superposition,[status(thm)],[c_9126,c_383]) ).
tcf(c_18417,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf48(X0,X1))
| ( app(skaf48(X0,X1),X2) != skaf48(X0,X1) ) ),
inference(superposition,[status(thm)],[c_9126,c_397]) ).
tcf(c_18420,plain,
! [X0: $i,X1: $i] : rearsegP(skaf48(X0,X1),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_18414,c_255,c_295]) ).
tcf(c_18421,plain,
! [X0: $i,X1: $i] : frontsegP(skaf48(X0,X1),skaf48(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_18413,c_255,c_295]) ).
tcf(c_18422,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(skaf48(X1,X2),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18416,c_255,c_295]) ).
tcf(c_18427,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ~ ssList(X2)
| ( app(skaf48(X0,X1),X2) != skaf48(X0,X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18417,c_255,c_295]) ).
tcf(c_18431,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf48(X0,X1) = X2 )
| ~ ssList(X2)
| ( skaf48(X0,X1) != app(X2,nil) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18408,c_255,c_295]) ).
tcf(c_18444,plain,
( duplicatefreeP(sk4)
| ( app(app(skaf75(sk4),cons(skaf74(sk4),skaf76(sk4))),cons(skaf74(sk4),skaf77(sk4))) = sk4 ) ),
inference(superposition,[status(thm)],[c_6486,c_409]) ).
tcf(c_18445,plain,
( duplicatefreeP(sk7)
| ( app(app(skaf75(sk7),cons(skaf74(sk7),skaf76(sk7))),cons(skaf74(sk7),skaf77(sk7))) = sk7 ) ),
inference(superposition,[status(thm)],[c_6483,c_409]) ).
tcf(c_18446,plain,
( duplicatefreeP(sk8)
| ( app(app(skaf75(sk8),cons(skaf74(sk8),skaf76(sk8))),cons(skaf74(sk8),skaf77(sk8))) = sk8 ) ),
inference(superposition,[status(thm)],[c_6482,c_409]) ).
tcf(c_18448,plain,
! [X0: $i] :
( duplicatefreeP(skaf82(X0))
| ( app(app(skaf75(skaf82(X0)),cons(skaf74(skaf82(X0)),skaf76(skaf82(X0)))),cons(skaf74(skaf82(X0)),skaf77(skaf82(X0)))) = skaf82(X0) ) ),
inference(superposition,[status(thm)],[c_260,c_409]) ).
tcf(c_18449,plain,
! [X0: $i] :
( duplicatefreeP(skaf81(X0))
| ( app(app(skaf75(skaf81(X0)),cons(skaf74(skaf81(X0)),skaf76(skaf81(X0)))),cons(skaf74(skaf81(X0)),skaf77(skaf81(X0)))) = skaf81(X0) ) ),
inference(superposition,[status(thm)],[c_261,c_409]) ).
tcf(c_18450,plain,
! [X0: $i] :
( duplicatefreeP(skaf80(X0))
| ( app(app(skaf75(skaf80(X0)),cons(skaf74(skaf80(X0)),skaf76(skaf80(X0)))),cons(skaf74(skaf80(X0)),skaf77(skaf80(X0)))) = skaf80(X0) ) ),
inference(superposition,[status(thm)],[c_262,c_409]) ).
tcf(c_18451,plain,
! [X0: $i] :
( duplicatefreeP(skaf77(X0))
| ( app(app(skaf75(skaf77(X0)),cons(skaf74(skaf77(X0)),skaf76(skaf77(X0)))),cons(skaf74(skaf77(X0)),skaf77(skaf77(X0)))) = skaf77(X0) ) ),
inference(superposition,[status(thm)],[c_265,c_409]) ).
tcf(c_18452,plain,
! [X0: $i] :
( duplicatefreeP(skaf76(X0))
| ( app(app(skaf75(skaf76(X0)),cons(skaf74(skaf76(X0)),skaf76(skaf76(X0)))),cons(skaf74(skaf76(X0)),skaf77(skaf76(X0)))) = skaf76(X0) ) ),
inference(superposition,[status(thm)],[c_266,c_409]) ).
tcf(c_18453,plain,
! [X0: $i] :
( duplicatefreeP(skaf75(X0))
| ( app(app(skaf75(skaf75(X0)),cons(skaf74(skaf75(X0)),skaf76(skaf75(X0)))),cons(skaf74(skaf75(X0)),skaf77(skaf75(X0)))) = skaf75(X0) ) ),
inference(superposition,[status(thm)],[c_267,c_409]) ).
tcf(c_18454,plain,
! [X0: $i] :
( duplicatefreeP(skaf73(X0))
| ( app(app(skaf75(skaf73(X0)),cons(skaf74(skaf73(X0)),skaf76(skaf73(X0)))),cons(skaf74(skaf73(X0)),skaf77(skaf73(X0)))) = skaf73(X0) ) ),
inference(superposition,[status(thm)],[c_269,c_409]) ).
tcf(c_18455,plain,
! [X0: $i] :
( duplicatefreeP(skaf72(X0))
| ( app(app(skaf75(skaf72(X0)),cons(skaf74(skaf72(X0)),skaf76(skaf72(X0)))),cons(skaf74(skaf72(X0)),skaf77(skaf72(X0)))) = skaf72(X0) ) ),
inference(superposition,[status(thm)],[c_270,c_409]) ).
tcf(c_18456,plain,
! [X0: $i] :
( duplicatefreeP(skaf71(X0))
| ( app(app(skaf75(skaf71(X0)),cons(skaf74(skaf71(X0)),skaf76(skaf71(X0)))),cons(skaf74(skaf71(X0)),skaf77(skaf71(X0)))) = skaf71(X0) ) ),
inference(superposition,[status(thm)],[c_271,c_409]) ).
tcf(c_18457,plain,
! [X0: $i] :
( duplicatefreeP(skaf68(X0))
| ( app(app(skaf75(skaf68(X0)),cons(skaf74(skaf68(X0)),skaf76(skaf68(X0)))),cons(skaf74(skaf68(X0)),skaf77(skaf68(X0)))) = skaf68(X0) ) ),
inference(superposition,[status(thm)],[c_274,c_409]) ).
tcf(c_18458,plain,
! [X0: $i] :
( duplicatefreeP(skaf67(X0))
| ( app(app(skaf75(skaf67(X0)),cons(skaf74(skaf67(X0)),skaf76(skaf67(X0)))),cons(skaf74(skaf67(X0)),skaf77(skaf67(X0)))) = skaf67(X0) ) ),
inference(superposition,[status(thm)],[c_275,c_409]) ).
tcf(c_18459,plain,
! [X0: $i] :
( duplicatefreeP(skaf66(X0))
| ( app(app(skaf75(skaf66(X0)),cons(skaf74(skaf66(X0)),skaf76(skaf66(X0)))),cons(skaf74(skaf66(X0)),skaf77(skaf66(X0)))) = skaf66(X0) ) ),
inference(superposition,[status(thm)],[c_276,c_409]) ).
tcf(c_18460,plain,
! [X0: $i] :
( duplicatefreeP(skaf63(X0))
| ( app(app(skaf75(skaf63(X0)),cons(skaf74(skaf63(X0)),skaf76(skaf63(X0)))),cons(skaf74(skaf63(X0)),skaf77(skaf63(X0)))) = skaf63(X0) ) ),
inference(superposition,[status(thm)],[c_279,c_409]) ).
tcf(c_18461,plain,
! [X0: $i] :
( duplicatefreeP(skaf62(X0))
| ( app(app(skaf75(skaf62(X0)),cons(skaf74(skaf62(X0)),skaf76(skaf62(X0)))),cons(skaf74(skaf62(X0)),skaf77(skaf62(X0)))) = skaf62(X0) ) ),
inference(superposition,[status(thm)],[c_280,c_409]) ).
tcf(c_18462,plain,
! [X0: $i] :
( duplicatefreeP(skaf61(X0))
| ( app(app(skaf75(skaf61(X0)),cons(skaf74(skaf61(X0)),skaf76(skaf61(X0)))),cons(skaf74(skaf61(X0)),skaf77(skaf61(X0)))) = skaf61(X0) ) ),
inference(superposition,[status(thm)],[c_281,c_409]) ).
tcf(c_18463,plain,
! [X0: $i] :
( duplicatefreeP(skaf58(X0))
| ( app(app(skaf75(skaf58(X0)),cons(skaf74(skaf58(X0)),skaf76(skaf58(X0)))),cons(skaf74(skaf58(X0)),skaf77(skaf58(X0)))) = skaf58(X0) ) ),
inference(superposition,[status(thm)],[c_284,c_409]) ).
tcf(c_18464,plain,
! [X0: $i] :
( duplicatefreeP(skaf57(X0))
| ( app(app(skaf75(skaf57(X0)),cons(skaf74(skaf57(X0)),skaf76(skaf57(X0)))),cons(skaf74(skaf57(X0)),skaf77(skaf57(X0)))) = skaf57(X0) ) ),
inference(superposition,[status(thm)],[c_285,c_409]) ).
tcf(c_18465,plain,
! [X0: $i] :
( duplicatefreeP(skaf56(X0))
| ( app(app(skaf75(skaf56(X0)),cons(skaf74(skaf56(X0)),skaf76(skaf56(X0)))),cons(skaf74(skaf56(X0)),skaf77(skaf56(X0)))) = skaf56(X0) ) ),
inference(superposition,[status(thm)],[c_286,c_409]) ).
tcf(c_18466,plain,
! [X0: $i] :
( duplicatefreeP(skaf53(X0))
| ( app(app(skaf75(skaf53(X0)),cons(skaf74(skaf53(X0)),skaf76(skaf53(X0)))),cons(skaf74(skaf53(X0)),skaf77(skaf53(X0)))) = skaf53(X0) ) ),
inference(superposition,[status(thm)],[c_289,c_409]) ).
tcf(c_18467,plain,
! [X0: $i] :
( duplicatefreeP(skaf52(X0))
| ( app(app(skaf75(skaf52(X0)),cons(skaf74(skaf52(X0)),skaf76(skaf52(X0)))),cons(skaf74(skaf52(X0)),skaf77(skaf52(X0)))) = skaf52(X0) ) ),
inference(superposition,[status(thm)],[c_290,c_409]) ).
tcf(c_18468,plain,
! [X0: $i] :
( duplicatefreeP(skaf51(X0))
| ( app(app(skaf75(skaf51(X0)),cons(skaf74(skaf51(X0)),skaf76(skaf51(X0)))),cons(skaf74(skaf51(X0)),skaf77(skaf51(X0)))) = skaf51(X0) ) ),
inference(superposition,[status(thm)],[c_291,c_409]) ).
tcf(c_18469,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(skaf48(X0,X1))
| ( app(app(skaf75(skaf48(X0,X1)),cons(skaf74(skaf48(X0,X1)),skaf76(skaf48(X0,X1)))),cons(skaf74(skaf48(X0,X1)),skaf77(skaf48(X0,X1)))) = skaf48(X0,X1) ) ),
inference(superposition,[status(thm)],[c_295,c_409]) ).
tcf(c_18470,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(skaf47(X0,X1))
| ( app(app(skaf75(skaf47(X0,X1)),cons(skaf74(skaf47(X0,X1)),skaf76(skaf47(X0,X1)))),cons(skaf74(skaf47(X0,X1)),skaf77(skaf47(X0,X1)))) = skaf47(X0,X1) ) ),
inference(superposition,[status(thm)],[c_296,c_409]) ).
tcf(c_18471,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(skaf46(X0,X1))
| ( app(app(skaf75(skaf46(X0,X1)),cons(skaf74(skaf46(X0,X1)),skaf76(skaf46(X0,X1)))),cons(skaf74(skaf46(X0,X1)),skaf77(skaf46(X0,X1)))) = skaf46(X0,X1) ) ),
inference(superposition,[status(thm)],[c_297,c_409]) ).
tcf(c_18472,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(skaf45(X0,X1))
| ( app(app(skaf75(skaf45(X0,X1)),cons(skaf74(skaf45(X0,X1)),skaf76(skaf45(X0,X1)))),cons(skaf74(skaf45(X0,X1)),skaf77(skaf45(X0,X1)))) = skaf45(X0,X1) ) ),
inference(superposition,[status(thm)],[c_298,c_409]) ).
tcf(c_18473,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(skaf43(X0,X1))
| ( app(app(skaf75(skaf43(X0,X1)),cons(skaf74(skaf43(X0,X1)),skaf76(skaf43(X0,X1)))),cons(skaf74(skaf43(X0,X1)),skaf77(skaf43(X0,X1)))) = skaf43(X0,X1) ) ),
inference(superposition,[status(thm)],[c_299,c_409]) ).
tcf(c_18474,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(skaf42(X0,X1))
| ( app(app(skaf75(skaf42(X0,X1)),cons(skaf74(skaf42(X0,X1)),skaf76(skaf42(X0,X1)))),cons(skaf74(skaf42(X0,X1)),skaf77(skaf42(X0,X1)))) = skaf42(X0,X1) ) ),
inference(superposition,[status(thm)],[c_300,c_409]) ).
tcf(c_18475,plain,
! [X0: $i] :
( duplicatefreeP(tl(X0))
| ( X0 = nil )
| ( app(app(skaf75(tl(X0)),cons(skaf74(tl(X0)),skaf76(tl(X0)))),cons(skaf74(tl(X0)),skaf77(tl(X0)))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_409]) ).
tcf(c_18476,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(app(X1,X0))
| ( app(app(skaf75(app(X1,X0)),cons(skaf74(app(X1,X0)),skaf76(app(X1,X0)))),cons(skaf74(app(X1,X0)),skaf77(app(X1,X0)))) = app(X1,X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_409]) ).
tcf(c_18477,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(cons(X1,X0))
| ( app(app(skaf75(cons(X1,X0)),cons(skaf74(cons(X1,X0)),skaf76(cons(X1,X0)))),cons(skaf74(cons(X1,X0)),skaf77(cons(X1,X0)))) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_409]) ).
tcf(c_18478,plain,
( duplicatefreeP(iPr_def_16)
| ( app(app(skaf75(iPr_def_16),cons(skaf74(iPr_def_16),skaf76(iPr_def_16))),cons(skaf74(iPr_def_16),skaf77(iPr_def_16))) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9020,c_409]) ).
tcf(c_18479,plain,
( duplicatefreeP(iPr_def_13)
| ( app(app(skaf75(iPr_def_13),cons(skaf74(iPr_def_13),skaf76(iPr_def_13))),cons(skaf74(iPr_def_13),skaf77(iPr_def_13))) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9527,c_409]) ).
tcf(c_18482,plain,
( duplicatefreeP(cons(sk9,sk4))
| ( app(app(skaf75(cons(sk9,sk4)),cons(skaf74(cons(sk9,sk4)),skaf76(cons(sk9,sk4)))),cons(skaf74(cons(sk9,sk4)),skaf77(cons(sk9,sk4)))) = cons(sk9,sk4) ) ),
inference(superposition,[status(thm)],[c_12535,c_409]) ).
tcf(c_18483,plain,
( duplicatefreeP(cons(sk9,sk7))
| ( app(app(skaf75(cons(sk9,sk7)),cons(skaf74(cons(sk9,sk7)),skaf76(cons(sk9,sk7)))),cons(skaf74(cons(sk9,sk7)),skaf77(cons(sk9,sk7)))) = cons(sk9,sk7) ) ),
inference(superposition,[status(thm)],[c_14920,c_409]) ).
tcf(c_18484,plain,
( duplicatefreeP(cons(sk9,sk8))
| ( app(app(skaf75(cons(sk9,sk8)),cons(skaf74(cons(sk9,sk8)),skaf76(cons(sk9,sk8)))),cons(skaf74(cons(sk9,sk8)),skaf77(cons(sk9,sk8)))) = cons(sk9,sk8) ) ),
inference(superposition,[status(thm)],[c_15373,c_409]) ).
tcf(c_18653,plain,
( strictorderedP(sk4)
| ( app(app(skaf71(sk4),cons(skaf69(sk4),skaf72(sk4))),cons(skaf70(sk4),skaf73(sk4))) = sk4 ) ),
inference(superposition,[status(thm)],[c_6486,c_410]) ).
tcf(c_18654,plain,
( strictorderedP(sk7)
| ( app(app(skaf71(sk7),cons(skaf69(sk7),skaf72(sk7))),cons(skaf70(sk7),skaf73(sk7))) = sk7 ) ),
inference(superposition,[status(thm)],[c_6483,c_410]) ).
tcf(c_18655,plain,
( strictorderedP(sk8)
| ( app(app(skaf71(sk8),cons(skaf69(sk8),skaf72(sk8))),cons(skaf70(sk8),skaf73(sk8))) = sk8 ) ),
inference(superposition,[status(thm)],[c_6482,c_410]) ).
tcf(c_18657,plain,
! [X0: $i] :
( strictorderedP(skaf82(X0))
| ( app(app(skaf71(skaf82(X0)),cons(skaf69(skaf82(X0)),skaf72(skaf82(X0)))),cons(skaf70(skaf82(X0)),skaf73(skaf82(X0)))) = skaf82(X0) ) ),
inference(superposition,[status(thm)],[c_260,c_410]) ).
tcf(c_18658,plain,
! [X0: $i] :
( strictorderedP(skaf81(X0))
| ( app(app(skaf71(skaf81(X0)),cons(skaf69(skaf81(X0)),skaf72(skaf81(X0)))),cons(skaf70(skaf81(X0)),skaf73(skaf81(X0)))) = skaf81(X0) ) ),
inference(superposition,[status(thm)],[c_261,c_410]) ).
tcf(c_18659,plain,
! [X0: $i] :
( strictorderedP(skaf80(X0))
| ( app(app(skaf71(skaf80(X0)),cons(skaf69(skaf80(X0)),skaf72(skaf80(X0)))),cons(skaf70(skaf80(X0)),skaf73(skaf80(X0)))) = skaf80(X0) ) ),
inference(superposition,[status(thm)],[c_262,c_410]) ).
tcf(c_18660,plain,
! [X0: $i] :
( strictorderedP(skaf77(X0))
| ( app(app(skaf71(skaf77(X0)),cons(skaf69(skaf77(X0)),skaf72(skaf77(X0)))),cons(skaf70(skaf77(X0)),skaf73(skaf77(X0)))) = skaf77(X0) ) ),
inference(superposition,[status(thm)],[c_265,c_410]) ).
tcf(c_18661,plain,
! [X0: $i] :
( strictorderedP(skaf76(X0))
| ( app(app(skaf71(skaf76(X0)),cons(skaf69(skaf76(X0)),skaf72(skaf76(X0)))),cons(skaf70(skaf76(X0)),skaf73(skaf76(X0)))) = skaf76(X0) ) ),
inference(superposition,[status(thm)],[c_266,c_410]) ).
tcf(c_18662,plain,
! [X0: $i] :
( strictorderedP(skaf75(X0))
| ( app(app(skaf71(skaf75(X0)),cons(skaf69(skaf75(X0)),skaf72(skaf75(X0)))),cons(skaf70(skaf75(X0)),skaf73(skaf75(X0)))) = skaf75(X0) ) ),
inference(superposition,[status(thm)],[c_267,c_410]) ).
tcf(c_18663,plain,
! [X0: $i] :
( strictorderedP(skaf73(X0))
| ( app(app(skaf71(skaf73(X0)),cons(skaf69(skaf73(X0)),skaf72(skaf73(X0)))),cons(skaf70(skaf73(X0)),skaf73(skaf73(X0)))) = skaf73(X0) ) ),
inference(superposition,[status(thm)],[c_269,c_410]) ).
tcf(c_18664,plain,
! [X0: $i] :
( strictorderedP(skaf72(X0))
| ( app(app(skaf71(skaf72(X0)),cons(skaf69(skaf72(X0)),skaf72(skaf72(X0)))),cons(skaf70(skaf72(X0)),skaf73(skaf72(X0)))) = skaf72(X0) ) ),
inference(superposition,[status(thm)],[c_270,c_410]) ).
tcf(c_18665,plain,
! [X0: $i] :
( strictorderedP(skaf71(X0))
| ( app(app(skaf71(skaf71(X0)),cons(skaf69(skaf71(X0)),skaf72(skaf71(X0)))),cons(skaf70(skaf71(X0)),skaf73(skaf71(X0)))) = skaf71(X0) ) ),
inference(superposition,[status(thm)],[c_271,c_410]) ).
tcf(c_18666,plain,
! [X0: $i] :
( strictorderedP(skaf68(X0))
| ( app(app(skaf71(skaf68(X0)),cons(skaf69(skaf68(X0)),skaf72(skaf68(X0)))),cons(skaf70(skaf68(X0)),skaf73(skaf68(X0)))) = skaf68(X0) ) ),
inference(superposition,[status(thm)],[c_274,c_410]) ).
tcf(c_18667,plain,
! [X0: $i] :
( strictorderedP(skaf67(X0))
| ( app(app(skaf71(skaf67(X0)),cons(skaf69(skaf67(X0)),skaf72(skaf67(X0)))),cons(skaf70(skaf67(X0)),skaf73(skaf67(X0)))) = skaf67(X0) ) ),
inference(superposition,[status(thm)],[c_275,c_410]) ).
tcf(c_18668,plain,
! [X0: $i] :
( strictorderedP(skaf66(X0))
| ( app(app(skaf71(skaf66(X0)),cons(skaf69(skaf66(X0)),skaf72(skaf66(X0)))),cons(skaf70(skaf66(X0)),skaf73(skaf66(X0)))) = skaf66(X0) ) ),
inference(superposition,[status(thm)],[c_276,c_410]) ).
tcf(c_18669,plain,
! [X0: $i] :
( strictorderedP(skaf63(X0))
| ( app(app(skaf71(skaf63(X0)),cons(skaf69(skaf63(X0)),skaf72(skaf63(X0)))),cons(skaf70(skaf63(X0)),skaf73(skaf63(X0)))) = skaf63(X0) ) ),
inference(superposition,[status(thm)],[c_279,c_410]) ).
tcf(c_18670,plain,
! [X0: $i] :
( strictorderedP(skaf62(X0))
| ( app(app(skaf71(skaf62(X0)),cons(skaf69(skaf62(X0)),skaf72(skaf62(X0)))),cons(skaf70(skaf62(X0)),skaf73(skaf62(X0)))) = skaf62(X0) ) ),
inference(superposition,[status(thm)],[c_280,c_410]) ).
tcf(c_18671,plain,
! [X0: $i] :
( strictorderedP(skaf61(X0))
| ( app(app(skaf71(skaf61(X0)),cons(skaf69(skaf61(X0)),skaf72(skaf61(X0)))),cons(skaf70(skaf61(X0)),skaf73(skaf61(X0)))) = skaf61(X0) ) ),
inference(superposition,[status(thm)],[c_281,c_410]) ).
tcf(c_18672,plain,
! [X0: $i] :
( strictorderedP(skaf58(X0))
| ( app(app(skaf71(skaf58(X0)),cons(skaf69(skaf58(X0)),skaf72(skaf58(X0)))),cons(skaf70(skaf58(X0)),skaf73(skaf58(X0)))) = skaf58(X0) ) ),
inference(superposition,[status(thm)],[c_284,c_410]) ).
tcf(c_18673,plain,
! [X0: $i] :
( strictorderedP(skaf57(X0))
| ( app(app(skaf71(skaf57(X0)),cons(skaf69(skaf57(X0)),skaf72(skaf57(X0)))),cons(skaf70(skaf57(X0)),skaf73(skaf57(X0)))) = skaf57(X0) ) ),
inference(superposition,[status(thm)],[c_285,c_410]) ).
tcf(c_18674,plain,
! [X0: $i] :
( strictorderedP(skaf56(X0))
| ( app(app(skaf71(skaf56(X0)),cons(skaf69(skaf56(X0)),skaf72(skaf56(X0)))),cons(skaf70(skaf56(X0)),skaf73(skaf56(X0)))) = skaf56(X0) ) ),
inference(superposition,[status(thm)],[c_286,c_410]) ).
tcf(c_18675,plain,
! [X0: $i] :
( strictorderedP(skaf53(X0))
| ( app(app(skaf71(skaf53(X0)),cons(skaf69(skaf53(X0)),skaf72(skaf53(X0)))),cons(skaf70(skaf53(X0)),skaf73(skaf53(X0)))) = skaf53(X0) ) ),
inference(superposition,[status(thm)],[c_289,c_410]) ).
tcf(c_18676,plain,
! [X0: $i] :
( strictorderedP(skaf52(X0))
| ( app(app(skaf71(skaf52(X0)),cons(skaf69(skaf52(X0)),skaf72(skaf52(X0)))),cons(skaf70(skaf52(X0)),skaf73(skaf52(X0)))) = skaf52(X0) ) ),
inference(superposition,[status(thm)],[c_290,c_410]) ).
tcf(c_18677,plain,
! [X0: $i] :
( strictorderedP(skaf51(X0))
| ( app(app(skaf71(skaf51(X0)),cons(skaf69(skaf51(X0)),skaf72(skaf51(X0)))),cons(skaf70(skaf51(X0)),skaf73(skaf51(X0)))) = skaf51(X0) ) ),
inference(superposition,[status(thm)],[c_291,c_410]) ).
tcf(c_18678,plain,
! [X0: $i,X1: $i] :
( strictorderedP(skaf48(X0,X1))
| ( app(app(skaf71(skaf48(X0,X1)),cons(skaf69(skaf48(X0,X1)),skaf72(skaf48(X0,X1)))),cons(skaf70(skaf48(X0,X1)),skaf73(skaf48(X0,X1)))) = skaf48(X0,X1) ) ),
inference(superposition,[status(thm)],[c_295,c_410]) ).
tcf(c_18679,plain,
! [X0: $i,X1: $i] :
( strictorderedP(skaf47(X0,X1))
| ( app(app(skaf71(skaf47(X0,X1)),cons(skaf69(skaf47(X0,X1)),skaf72(skaf47(X0,X1)))),cons(skaf70(skaf47(X0,X1)),skaf73(skaf47(X0,X1)))) = skaf47(X0,X1) ) ),
inference(superposition,[status(thm)],[c_296,c_410]) ).
tcf(c_18680,plain,
! [X0: $i,X1: $i] :
( strictorderedP(skaf46(X0,X1))
| ( app(app(skaf71(skaf46(X0,X1)),cons(skaf69(skaf46(X0,X1)),skaf72(skaf46(X0,X1)))),cons(skaf70(skaf46(X0,X1)),skaf73(skaf46(X0,X1)))) = skaf46(X0,X1) ) ),
inference(superposition,[status(thm)],[c_297,c_410]) ).
tcf(c_18681,plain,
! [X0: $i,X1: $i] :
( strictorderedP(skaf45(X0,X1))
| ( app(app(skaf71(skaf45(X0,X1)),cons(skaf69(skaf45(X0,X1)),skaf72(skaf45(X0,X1)))),cons(skaf70(skaf45(X0,X1)),skaf73(skaf45(X0,X1)))) = skaf45(X0,X1) ) ),
inference(superposition,[status(thm)],[c_298,c_410]) ).
tcf(c_18682,plain,
! [X0: $i,X1: $i] :
( strictorderedP(skaf43(X0,X1))
| ( app(app(skaf71(skaf43(X0,X1)),cons(skaf69(skaf43(X0,X1)),skaf72(skaf43(X0,X1)))),cons(skaf70(skaf43(X0,X1)),skaf73(skaf43(X0,X1)))) = skaf43(X0,X1) ) ),
inference(superposition,[status(thm)],[c_299,c_410]) ).
tcf(c_18683,plain,
! [X0: $i,X1: $i] :
( strictorderedP(skaf42(X0,X1))
| ( app(app(skaf71(skaf42(X0,X1)),cons(skaf69(skaf42(X0,X1)),skaf72(skaf42(X0,X1)))),cons(skaf70(skaf42(X0,X1)),skaf73(skaf42(X0,X1)))) = skaf42(X0,X1) ) ),
inference(superposition,[status(thm)],[c_300,c_410]) ).
tcf(c_18684,plain,
! [X0: $i] :
( strictorderedP(tl(X0))
| ( X0 = nil )
| ( app(app(skaf71(tl(X0)),cons(skaf69(tl(X0)),skaf72(tl(X0)))),cons(skaf70(tl(X0)),skaf73(tl(X0)))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_410]) ).
tcf(c_18685,plain,
! [X0: $i,X1: $i] :
( strictorderedP(app(X1,X0))
| ( app(app(skaf71(app(X1,X0)),cons(skaf69(app(X1,X0)),skaf72(app(X1,X0)))),cons(skaf70(app(X1,X0)),skaf73(app(X1,X0)))) = app(X1,X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_410]) ).
tcf(c_18686,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,X0))
| ( app(app(skaf71(cons(X1,X0)),cons(skaf69(cons(X1,X0)),skaf72(cons(X1,X0)))),cons(skaf70(cons(X1,X0)),skaf73(cons(X1,X0)))) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_410]) ).
tcf(c_18687,plain,
( strictorderedP(iPr_def_16)
| ( app(app(skaf71(iPr_def_16),cons(skaf69(iPr_def_16),skaf72(iPr_def_16))),cons(skaf70(iPr_def_16),skaf73(iPr_def_16))) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9020,c_410]) ).
tcf(c_18688,plain,
( strictorderedP(iPr_def_13)
| ( app(app(skaf71(iPr_def_13),cons(skaf69(iPr_def_13),skaf72(iPr_def_13))),cons(skaf70(iPr_def_13),skaf73(iPr_def_13))) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9527,c_410]) ).
tcf(c_18691,plain,
( strictorderedP(cons(sk9,sk4))
| ( app(app(skaf71(cons(sk9,sk4)),cons(skaf69(cons(sk9,sk4)),skaf72(cons(sk9,sk4)))),cons(skaf70(cons(sk9,sk4)),skaf73(cons(sk9,sk4)))) = cons(sk9,sk4) ) ),
inference(superposition,[status(thm)],[c_12535,c_410]) ).
tcf(c_18692,plain,
( strictorderedP(cons(sk9,sk7))
| ( app(app(skaf71(cons(sk9,sk7)),cons(skaf69(cons(sk9,sk7)),skaf72(cons(sk9,sk7)))),cons(skaf70(cons(sk9,sk7)),skaf73(cons(sk9,sk7)))) = cons(sk9,sk7) ) ),
inference(superposition,[status(thm)],[c_14920,c_410]) ).
tcf(c_18693,plain,
( strictorderedP(cons(sk9,sk8))
| ( app(app(skaf71(cons(sk9,sk8)),cons(skaf69(cons(sk9,sk8)),skaf72(cons(sk9,sk8)))),cons(skaf70(cons(sk9,sk8)),skaf73(cons(sk9,sk8)))) = cons(sk9,sk8) ) ),
inference(superposition,[status(thm)],[c_15373,c_410]) ).
tcf(c_18937,plain,
( totalorderedP(sk4)
| ( app(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))),cons(skaf65(sk4),skaf68(sk4))) = sk4 ) ),
inference(superposition,[status(thm)],[c_6486,c_411]) ).
tcf(c_18938,plain,
( totalorderedP(sk7)
| ( app(app(skaf66(sk7),cons(skaf64(sk7),skaf67(sk7))),cons(skaf65(sk7),skaf68(sk7))) = sk7 ) ),
inference(superposition,[status(thm)],[c_6483,c_411]) ).
tcf(c_18939,plain,
( totalorderedP(sk8)
| ( app(app(skaf66(sk8),cons(skaf64(sk8),skaf67(sk8))),cons(skaf65(sk8),skaf68(sk8))) = sk8 ) ),
inference(superposition,[status(thm)],[c_6482,c_411]) ).
tcf(c_18941,plain,
! [X0: $i] :
( totalorderedP(skaf82(X0))
| ( app(app(skaf66(skaf82(X0)),cons(skaf64(skaf82(X0)),skaf67(skaf82(X0)))),cons(skaf65(skaf82(X0)),skaf68(skaf82(X0)))) = skaf82(X0) ) ),
inference(superposition,[status(thm)],[c_260,c_411]) ).
tcf(c_18942,plain,
! [X0: $i] :
( totalorderedP(skaf81(X0))
| ( app(app(skaf66(skaf81(X0)),cons(skaf64(skaf81(X0)),skaf67(skaf81(X0)))),cons(skaf65(skaf81(X0)),skaf68(skaf81(X0)))) = skaf81(X0) ) ),
inference(superposition,[status(thm)],[c_261,c_411]) ).
tcf(c_18943,plain,
! [X0: $i] :
( totalorderedP(skaf80(X0))
| ( app(app(skaf66(skaf80(X0)),cons(skaf64(skaf80(X0)),skaf67(skaf80(X0)))),cons(skaf65(skaf80(X0)),skaf68(skaf80(X0)))) = skaf80(X0) ) ),
inference(superposition,[status(thm)],[c_262,c_411]) ).
tcf(c_18944,plain,
! [X0: $i] :
( totalorderedP(skaf77(X0))
| ( app(app(skaf66(skaf77(X0)),cons(skaf64(skaf77(X0)),skaf67(skaf77(X0)))),cons(skaf65(skaf77(X0)),skaf68(skaf77(X0)))) = skaf77(X0) ) ),
inference(superposition,[status(thm)],[c_265,c_411]) ).
tcf(c_18945,plain,
! [X0: $i] :
( totalorderedP(skaf76(X0))
| ( app(app(skaf66(skaf76(X0)),cons(skaf64(skaf76(X0)),skaf67(skaf76(X0)))),cons(skaf65(skaf76(X0)),skaf68(skaf76(X0)))) = skaf76(X0) ) ),
inference(superposition,[status(thm)],[c_266,c_411]) ).
tcf(c_18946,plain,
! [X0: $i] :
( totalorderedP(skaf75(X0))
| ( app(app(skaf66(skaf75(X0)),cons(skaf64(skaf75(X0)),skaf67(skaf75(X0)))),cons(skaf65(skaf75(X0)),skaf68(skaf75(X0)))) = skaf75(X0) ) ),
inference(superposition,[status(thm)],[c_267,c_411]) ).
tcf(c_18947,plain,
! [X0: $i] :
( totalorderedP(skaf73(X0))
| ( app(app(skaf66(skaf73(X0)),cons(skaf64(skaf73(X0)),skaf67(skaf73(X0)))),cons(skaf65(skaf73(X0)),skaf68(skaf73(X0)))) = skaf73(X0) ) ),
inference(superposition,[status(thm)],[c_269,c_411]) ).
tcf(c_18948,plain,
! [X0: $i] :
( totalorderedP(skaf72(X0))
| ( app(app(skaf66(skaf72(X0)),cons(skaf64(skaf72(X0)),skaf67(skaf72(X0)))),cons(skaf65(skaf72(X0)),skaf68(skaf72(X0)))) = skaf72(X0) ) ),
inference(superposition,[status(thm)],[c_270,c_411]) ).
tcf(c_18949,plain,
! [X0: $i] :
( totalorderedP(skaf71(X0))
| ( app(app(skaf66(skaf71(X0)),cons(skaf64(skaf71(X0)),skaf67(skaf71(X0)))),cons(skaf65(skaf71(X0)),skaf68(skaf71(X0)))) = skaf71(X0) ) ),
inference(superposition,[status(thm)],[c_271,c_411]) ).
tcf(c_18950,plain,
! [X0: $i] :
( totalorderedP(skaf68(X0))
| ( app(app(skaf66(skaf68(X0)),cons(skaf64(skaf68(X0)),skaf67(skaf68(X0)))),cons(skaf65(skaf68(X0)),skaf68(skaf68(X0)))) = skaf68(X0) ) ),
inference(superposition,[status(thm)],[c_274,c_411]) ).
tcf(c_18951,plain,
! [X0: $i] :
( totalorderedP(skaf67(X0))
| ( app(app(skaf66(skaf67(X0)),cons(skaf64(skaf67(X0)),skaf67(skaf67(X0)))),cons(skaf65(skaf67(X0)),skaf68(skaf67(X0)))) = skaf67(X0) ) ),
inference(superposition,[status(thm)],[c_275,c_411]) ).
tcf(c_18952,plain,
! [X0: $i] :
( totalorderedP(skaf66(X0))
| ( app(app(skaf66(skaf66(X0)),cons(skaf64(skaf66(X0)),skaf67(skaf66(X0)))),cons(skaf65(skaf66(X0)),skaf68(skaf66(X0)))) = skaf66(X0) ) ),
inference(superposition,[status(thm)],[c_276,c_411]) ).
tcf(c_18953,plain,
! [X0: $i] :
( totalorderedP(skaf63(X0))
| ( app(app(skaf66(skaf63(X0)),cons(skaf64(skaf63(X0)),skaf67(skaf63(X0)))),cons(skaf65(skaf63(X0)),skaf68(skaf63(X0)))) = skaf63(X0) ) ),
inference(superposition,[status(thm)],[c_279,c_411]) ).
tcf(c_18954,plain,
! [X0: $i] :
( totalorderedP(skaf62(X0))
| ( app(app(skaf66(skaf62(X0)),cons(skaf64(skaf62(X0)),skaf67(skaf62(X0)))),cons(skaf65(skaf62(X0)),skaf68(skaf62(X0)))) = skaf62(X0) ) ),
inference(superposition,[status(thm)],[c_280,c_411]) ).
tcf(c_18955,plain,
! [X0: $i] :
( totalorderedP(skaf61(X0))
| ( app(app(skaf66(skaf61(X0)),cons(skaf64(skaf61(X0)),skaf67(skaf61(X0)))),cons(skaf65(skaf61(X0)),skaf68(skaf61(X0)))) = skaf61(X0) ) ),
inference(superposition,[status(thm)],[c_281,c_411]) ).
tcf(c_18956,plain,
! [X0: $i] :
( totalorderedP(skaf58(X0))
| ( app(app(skaf66(skaf58(X0)),cons(skaf64(skaf58(X0)),skaf67(skaf58(X0)))),cons(skaf65(skaf58(X0)),skaf68(skaf58(X0)))) = skaf58(X0) ) ),
inference(superposition,[status(thm)],[c_284,c_411]) ).
tcf(c_18957,plain,
! [X0: $i] :
( totalorderedP(skaf57(X0))
| ( app(app(skaf66(skaf57(X0)),cons(skaf64(skaf57(X0)),skaf67(skaf57(X0)))),cons(skaf65(skaf57(X0)),skaf68(skaf57(X0)))) = skaf57(X0) ) ),
inference(superposition,[status(thm)],[c_285,c_411]) ).
tcf(c_18958,plain,
! [X0: $i] :
( totalorderedP(skaf56(X0))
| ( app(app(skaf66(skaf56(X0)),cons(skaf64(skaf56(X0)),skaf67(skaf56(X0)))),cons(skaf65(skaf56(X0)),skaf68(skaf56(X0)))) = skaf56(X0) ) ),
inference(superposition,[status(thm)],[c_286,c_411]) ).
tcf(c_18959,plain,
! [X0: $i] :
( totalorderedP(skaf53(X0))
| ( app(app(skaf66(skaf53(X0)),cons(skaf64(skaf53(X0)),skaf67(skaf53(X0)))),cons(skaf65(skaf53(X0)),skaf68(skaf53(X0)))) = skaf53(X0) ) ),
inference(superposition,[status(thm)],[c_289,c_411]) ).
tcf(c_18960,plain,
! [X0: $i] :
( totalorderedP(skaf52(X0))
| ( app(app(skaf66(skaf52(X0)),cons(skaf64(skaf52(X0)),skaf67(skaf52(X0)))),cons(skaf65(skaf52(X0)),skaf68(skaf52(X0)))) = skaf52(X0) ) ),
inference(superposition,[status(thm)],[c_290,c_411]) ).
tcf(c_18961,plain,
! [X0: $i] :
( totalorderedP(skaf51(X0))
| ( app(app(skaf66(skaf51(X0)),cons(skaf64(skaf51(X0)),skaf67(skaf51(X0)))),cons(skaf65(skaf51(X0)),skaf68(skaf51(X0)))) = skaf51(X0) ) ),
inference(superposition,[status(thm)],[c_291,c_411]) ).
tcf(c_18962,plain,
! [X0: $i,X1: $i] :
( totalorderedP(skaf48(X0,X1))
| ( app(app(skaf66(skaf48(X0,X1)),cons(skaf64(skaf48(X0,X1)),skaf67(skaf48(X0,X1)))),cons(skaf65(skaf48(X0,X1)),skaf68(skaf48(X0,X1)))) = skaf48(X0,X1) ) ),
inference(superposition,[status(thm)],[c_295,c_411]) ).
tcf(c_18963,plain,
! [X0: $i,X1: $i] :
( totalorderedP(skaf47(X0,X1))
| ( app(app(skaf66(skaf47(X0,X1)),cons(skaf64(skaf47(X0,X1)),skaf67(skaf47(X0,X1)))),cons(skaf65(skaf47(X0,X1)),skaf68(skaf47(X0,X1)))) = skaf47(X0,X1) ) ),
inference(superposition,[status(thm)],[c_296,c_411]) ).
tcf(c_18964,plain,
! [X0: $i,X1: $i] :
( totalorderedP(skaf46(X0,X1))
| ( app(app(skaf66(skaf46(X0,X1)),cons(skaf64(skaf46(X0,X1)),skaf67(skaf46(X0,X1)))),cons(skaf65(skaf46(X0,X1)),skaf68(skaf46(X0,X1)))) = skaf46(X0,X1) ) ),
inference(superposition,[status(thm)],[c_297,c_411]) ).
tcf(c_18965,plain,
! [X0: $i,X1: $i] :
( totalorderedP(skaf45(X0,X1))
| ( app(app(skaf66(skaf45(X0,X1)),cons(skaf64(skaf45(X0,X1)),skaf67(skaf45(X0,X1)))),cons(skaf65(skaf45(X0,X1)),skaf68(skaf45(X0,X1)))) = skaf45(X0,X1) ) ),
inference(superposition,[status(thm)],[c_298,c_411]) ).
tcf(c_18966,plain,
! [X0: $i,X1: $i] :
( totalorderedP(skaf43(X0,X1))
| ( app(app(skaf66(skaf43(X0,X1)),cons(skaf64(skaf43(X0,X1)),skaf67(skaf43(X0,X1)))),cons(skaf65(skaf43(X0,X1)),skaf68(skaf43(X0,X1)))) = skaf43(X0,X1) ) ),
inference(superposition,[status(thm)],[c_299,c_411]) ).
tcf(c_18967,plain,
! [X0: $i,X1: $i] :
( totalorderedP(skaf42(X0,X1))
| ( app(app(skaf66(skaf42(X0,X1)),cons(skaf64(skaf42(X0,X1)),skaf67(skaf42(X0,X1)))),cons(skaf65(skaf42(X0,X1)),skaf68(skaf42(X0,X1)))) = skaf42(X0,X1) ) ),
inference(superposition,[status(thm)],[c_300,c_411]) ).
tcf(c_18968,plain,
! [X0: $i] :
( totalorderedP(tl(X0))
| ( X0 = nil )
| ( app(app(skaf66(tl(X0)),cons(skaf64(tl(X0)),skaf67(tl(X0)))),cons(skaf65(tl(X0)),skaf68(tl(X0)))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_411]) ).
tcf(c_18969,plain,
! [X0: $i,X1: $i] :
( totalorderedP(app(X1,X0))
| ( app(app(skaf66(app(X1,X0)),cons(skaf64(app(X1,X0)),skaf67(app(X1,X0)))),cons(skaf65(app(X1,X0)),skaf68(app(X1,X0)))) = app(X1,X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_411]) ).
tcf(c_18970,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,X0))
| ( app(app(skaf66(cons(X1,X0)),cons(skaf64(cons(X1,X0)),skaf67(cons(X1,X0)))),cons(skaf65(cons(X1,X0)),skaf68(cons(X1,X0)))) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_411]) ).
tcf(c_18971,plain,
( totalorderedP(iPr_def_16)
| ( app(app(skaf66(iPr_def_16),cons(skaf64(iPr_def_16),skaf67(iPr_def_16))),cons(skaf65(iPr_def_16),skaf68(iPr_def_16))) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9020,c_411]) ).
tcf(c_18972,plain,
( totalorderedP(iPr_def_13)
| ( app(app(skaf66(iPr_def_13),cons(skaf64(iPr_def_13),skaf67(iPr_def_13))),cons(skaf65(iPr_def_13),skaf68(iPr_def_13))) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9527,c_411]) ).
tcf(c_18975,plain,
( totalorderedP(cons(sk9,sk4))
| ( app(app(skaf66(cons(sk9,sk4)),cons(skaf64(cons(sk9,sk4)),skaf67(cons(sk9,sk4)))),cons(skaf65(cons(sk9,sk4)),skaf68(cons(sk9,sk4)))) = cons(sk9,sk4) ) ),
inference(superposition,[status(thm)],[c_12535,c_411]) ).
tcf(c_18976,plain,
( totalorderedP(cons(sk9,sk7))
| ( app(app(skaf66(cons(sk9,sk7)),cons(skaf64(cons(sk9,sk7)),skaf67(cons(sk9,sk7)))),cons(skaf65(cons(sk9,sk7)),skaf68(cons(sk9,sk7)))) = cons(sk9,sk7) ) ),
inference(superposition,[status(thm)],[c_14920,c_411]) ).
tcf(c_18977,plain,
( totalorderedP(cons(sk9,sk8))
| ( app(app(skaf66(cons(sk9,sk8)),cons(skaf64(cons(sk9,sk8)),skaf67(cons(sk9,sk8)))),cons(skaf65(cons(sk9,sk8)),skaf68(cons(sk9,sk8)))) = cons(sk9,sk8) ) ),
inference(superposition,[status(thm)],[c_15373,c_411]) ).
tcf(c_19146,plain,
( strictorderP(sk4)
| ( app(app(skaf61(sk4),cons(skaf59(sk4),skaf62(sk4))),cons(skaf60(sk4),skaf63(sk4))) = sk4 ) ),
inference(superposition,[status(thm)],[c_6486,c_412]) ).
tcf(c_19147,plain,
( strictorderP(sk7)
| ( app(app(skaf61(sk7),cons(skaf59(sk7),skaf62(sk7))),cons(skaf60(sk7),skaf63(sk7))) = sk7 ) ),
inference(superposition,[status(thm)],[c_6483,c_412]) ).
tcf(c_19148,plain,
( strictorderP(sk8)
| ( app(app(skaf61(sk8),cons(skaf59(sk8),skaf62(sk8))),cons(skaf60(sk8),skaf63(sk8))) = sk8 ) ),
inference(superposition,[status(thm)],[c_6482,c_412]) ).
tcf(c_19150,plain,
! [X0: $i] :
( strictorderP(skaf82(X0))
| ( app(app(skaf61(skaf82(X0)),cons(skaf59(skaf82(X0)),skaf62(skaf82(X0)))),cons(skaf60(skaf82(X0)),skaf63(skaf82(X0)))) = skaf82(X0) ) ),
inference(superposition,[status(thm)],[c_260,c_412]) ).
tcf(c_19151,plain,
! [X0: $i] :
( strictorderP(skaf81(X0))
| ( app(app(skaf61(skaf81(X0)),cons(skaf59(skaf81(X0)),skaf62(skaf81(X0)))),cons(skaf60(skaf81(X0)),skaf63(skaf81(X0)))) = skaf81(X0) ) ),
inference(superposition,[status(thm)],[c_261,c_412]) ).
tcf(c_19152,plain,
! [X0: $i] :
( strictorderP(skaf80(X0))
| ( app(app(skaf61(skaf80(X0)),cons(skaf59(skaf80(X0)),skaf62(skaf80(X0)))),cons(skaf60(skaf80(X0)),skaf63(skaf80(X0)))) = skaf80(X0) ) ),
inference(superposition,[status(thm)],[c_262,c_412]) ).
tcf(c_19153,plain,
! [X0: $i] :
( strictorderP(skaf77(X0))
| ( app(app(skaf61(skaf77(X0)),cons(skaf59(skaf77(X0)),skaf62(skaf77(X0)))),cons(skaf60(skaf77(X0)),skaf63(skaf77(X0)))) = skaf77(X0) ) ),
inference(superposition,[status(thm)],[c_265,c_412]) ).
tcf(c_19154,plain,
! [X0: $i] :
( strictorderP(skaf76(X0))
| ( app(app(skaf61(skaf76(X0)),cons(skaf59(skaf76(X0)),skaf62(skaf76(X0)))),cons(skaf60(skaf76(X0)),skaf63(skaf76(X0)))) = skaf76(X0) ) ),
inference(superposition,[status(thm)],[c_266,c_412]) ).
tcf(c_19155,plain,
! [X0: $i] :
( strictorderP(skaf75(X0))
| ( app(app(skaf61(skaf75(X0)),cons(skaf59(skaf75(X0)),skaf62(skaf75(X0)))),cons(skaf60(skaf75(X0)),skaf63(skaf75(X0)))) = skaf75(X0) ) ),
inference(superposition,[status(thm)],[c_267,c_412]) ).
tcf(c_19156,plain,
! [X0: $i] :
( strictorderP(skaf73(X0))
| ( app(app(skaf61(skaf73(X0)),cons(skaf59(skaf73(X0)),skaf62(skaf73(X0)))),cons(skaf60(skaf73(X0)),skaf63(skaf73(X0)))) = skaf73(X0) ) ),
inference(superposition,[status(thm)],[c_269,c_412]) ).
tcf(c_19157,plain,
! [X0: $i] :
( strictorderP(skaf72(X0))
| ( app(app(skaf61(skaf72(X0)),cons(skaf59(skaf72(X0)),skaf62(skaf72(X0)))),cons(skaf60(skaf72(X0)),skaf63(skaf72(X0)))) = skaf72(X0) ) ),
inference(superposition,[status(thm)],[c_270,c_412]) ).
tcf(c_19158,plain,
! [X0: $i] :
( strictorderP(skaf71(X0))
| ( app(app(skaf61(skaf71(X0)),cons(skaf59(skaf71(X0)),skaf62(skaf71(X0)))),cons(skaf60(skaf71(X0)),skaf63(skaf71(X0)))) = skaf71(X0) ) ),
inference(superposition,[status(thm)],[c_271,c_412]) ).
tcf(c_19159,plain,
! [X0: $i] :
( strictorderP(skaf68(X0))
| ( app(app(skaf61(skaf68(X0)),cons(skaf59(skaf68(X0)),skaf62(skaf68(X0)))),cons(skaf60(skaf68(X0)),skaf63(skaf68(X0)))) = skaf68(X0) ) ),
inference(superposition,[status(thm)],[c_274,c_412]) ).
tcf(c_19160,plain,
! [X0: $i] :
( strictorderP(skaf67(X0))
| ( app(app(skaf61(skaf67(X0)),cons(skaf59(skaf67(X0)),skaf62(skaf67(X0)))),cons(skaf60(skaf67(X0)),skaf63(skaf67(X0)))) = skaf67(X0) ) ),
inference(superposition,[status(thm)],[c_275,c_412]) ).
tcf(c_19161,plain,
! [X0: $i] :
( strictorderP(skaf66(X0))
| ( app(app(skaf61(skaf66(X0)),cons(skaf59(skaf66(X0)),skaf62(skaf66(X0)))),cons(skaf60(skaf66(X0)),skaf63(skaf66(X0)))) = skaf66(X0) ) ),
inference(superposition,[status(thm)],[c_276,c_412]) ).
tcf(c_19162,plain,
! [X0: $i] :
( strictorderP(skaf63(X0))
| ( app(app(skaf61(skaf63(X0)),cons(skaf59(skaf63(X0)),skaf62(skaf63(X0)))),cons(skaf60(skaf63(X0)),skaf63(skaf63(X0)))) = skaf63(X0) ) ),
inference(superposition,[status(thm)],[c_279,c_412]) ).
tcf(c_19163,plain,
! [X0: $i] :
( strictorderP(skaf62(X0))
| ( app(app(skaf61(skaf62(X0)),cons(skaf59(skaf62(X0)),skaf62(skaf62(X0)))),cons(skaf60(skaf62(X0)),skaf63(skaf62(X0)))) = skaf62(X0) ) ),
inference(superposition,[status(thm)],[c_280,c_412]) ).
tcf(c_19164,plain,
! [X0: $i] :
( strictorderP(skaf61(X0))
| ( app(app(skaf61(skaf61(X0)),cons(skaf59(skaf61(X0)),skaf62(skaf61(X0)))),cons(skaf60(skaf61(X0)),skaf63(skaf61(X0)))) = skaf61(X0) ) ),
inference(superposition,[status(thm)],[c_281,c_412]) ).
tcf(c_19165,plain,
! [X0: $i] :
( strictorderP(skaf58(X0))
| ( app(app(skaf61(skaf58(X0)),cons(skaf59(skaf58(X0)),skaf62(skaf58(X0)))),cons(skaf60(skaf58(X0)),skaf63(skaf58(X0)))) = skaf58(X0) ) ),
inference(superposition,[status(thm)],[c_284,c_412]) ).
tcf(c_19166,plain,
! [X0: $i] :
( strictorderP(skaf57(X0))
| ( app(app(skaf61(skaf57(X0)),cons(skaf59(skaf57(X0)),skaf62(skaf57(X0)))),cons(skaf60(skaf57(X0)),skaf63(skaf57(X0)))) = skaf57(X0) ) ),
inference(superposition,[status(thm)],[c_285,c_412]) ).
tcf(c_19167,plain,
! [X0: $i] :
( strictorderP(skaf56(X0))
| ( app(app(skaf61(skaf56(X0)),cons(skaf59(skaf56(X0)),skaf62(skaf56(X0)))),cons(skaf60(skaf56(X0)),skaf63(skaf56(X0)))) = skaf56(X0) ) ),
inference(superposition,[status(thm)],[c_286,c_412]) ).
tcf(c_19168,plain,
! [X0: $i] :
( strictorderP(skaf53(X0))
| ( app(app(skaf61(skaf53(X0)),cons(skaf59(skaf53(X0)),skaf62(skaf53(X0)))),cons(skaf60(skaf53(X0)),skaf63(skaf53(X0)))) = skaf53(X0) ) ),
inference(superposition,[status(thm)],[c_289,c_412]) ).
tcf(c_19169,plain,
! [X0: $i] :
( strictorderP(skaf52(X0))
| ( app(app(skaf61(skaf52(X0)),cons(skaf59(skaf52(X0)),skaf62(skaf52(X0)))),cons(skaf60(skaf52(X0)),skaf63(skaf52(X0)))) = skaf52(X0) ) ),
inference(superposition,[status(thm)],[c_290,c_412]) ).
tcf(c_19170,plain,
! [X0: $i] :
( strictorderP(skaf51(X0))
| ( app(app(skaf61(skaf51(X0)),cons(skaf59(skaf51(X0)),skaf62(skaf51(X0)))),cons(skaf60(skaf51(X0)),skaf63(skaf51(X0)))) = skaf51(X0) ) ),
inference(superposition,[status(thm)],[c_291,c_412]) ).
tcf(c_19171,plain,
! [X0: $i,X1: $i] :
( strictorderP(skaf48(X0,X1))
| ( app(app(skaf61(skaf48(X0,X1)),cons(skaf59(skaf48(X0,X1)),skaf62(skaf48(X0,X1)))),cons(skaf60(skaf48(X0,X1)),skaf63(skaf48(X0,X1)))) = skaf48(X0,X1) ) ),
inference(superposition,[status(thm)],[c_295,c_412]) ).
tcf(c_19172,plain,
! [X0: $i,X1: $i] :
( strictorderP(skaf47(X0,X1))
| ( app(app(skaf61(skaf47(X0,X1)),cons(skaf59(skaf47(X0,X1)),skaf62(skaf47(X0,X1)))),cons(skaf60(skaf47(X0,X1)),skaf63(skaf47(X0,X1)))) = skaf47(X0,X1) ) ),
inference(superposition,[status(thm)],[c_296,c_412]) ).
tcf(c_19173,plain,
! [X0: $i,X1: $i] :
( strictorderP(skaf46(X0,X1))
| ( app(app(skaf61(skaf46(X0,X1)),cons(skaf59(skaf46(X0,X1)),skaf62(skaf46(X0,X1)))),cons(skaf60(skaf46(X0,X1)),skaf63(skaf46(X0,X1)))) = skaf46(X0,X1) ) ),
inference(superposition,[status(thm)],[c_297,c_412]) ).
tcf(c_19174,plain,
! [X0: $i,X1: $i] :
( strictorderP(skaf45(X0,X1))
| ( app(app(skaf61(skaf45(X0,X1)),cons(skaf59(skaf45(X0,X1)),skaf62(skaf45(X0,X1)))),cons(skaf60(skaf45(X0,X1)),skaf63(skaf45(X0,X1)))) = skaf45(X0,X1) ) ),
inference(superposition,[status(thm)],[c_298,c_412]) ).
tcf(c_19175,plain,
! [X0: $i,X1: $i] :
( strictorderP(skaf43(X0,X1))
| ( app(app(skaf61(skaf43(X0,X1)),cons(skaf59(skaf43(X0,X1)),skaf62(skaf43(X0,X1)))),cons(skaf60(skaf43(X0,X1)),skaf63(skaf43(X0,X1)))) = skaf43(X0,X1) ) ),
inference(superposition,[status(thm)],[c_299,c_412]) ).
tcf(c_19176,plain,
! [X0: $i,X1: $i] :
( strictorderP(skaf42(X0,X1))
| ( app(app(skaf61(skaf42(X0,X1)),cons(skaf59(skaf42(X0,X1)),skaf62(skaf42(X0,X1)))),cons(skaf60(skaf42(X0,X1)),skaf63(skaf42(X0,X1)))) = skaf42(X0,X1) ) ),
inference(superposition,[status(thm)],[c_300,c_412]) ).
tcf(c_19177,plain,
! [X0: $i] :
( strictorderP(tl(X0))
| ( X0 = nil )
| ( app(app(skaf61(tl(X0)),cons(skaf59(tl(X0)),skaf62(tl(X0)))),cons(skaf60(tl(X0)),skaf63(tl(X0)))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_412]) ).
tcf(c_19178,plain,
! [X0: $i,X1: $i] :
( strictorderP(app(X1,X0))
| ( app(app(skaf61(app(X1,X0)),cons(skaf59(app(X1,X0)),skaf62(app(X1,X0)))),cons(skaf60(app(X1,X0)),skaf63(app(X1,X0)))) = app(X1,X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_412]) ).
tcf(c_19179,plain,
! [X0: $i,X1: $i] :
( strictorderP(cons(X1,X0))
| ( app(app(skaf61(cons(X1,X0)),cons(skaf59(cons(X1,X0)),skaf62(cons(X1,X0)))),cons(skaf60(cons(X1,X0)),skaf63(cons(X1,X0)))) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_412]) ).
tcf(c_19180,plain,
( strictorderP(iPr_def_16)
| ( app(app(skaf61(iPr_def_16),cons(skaf59(iPr_def_16),skaf62(iPr_def_16))),cons(skaf60(iPr_def_16),skaf63(iPr_def_16))) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9020,c_412]) ).
tcf(c_19181,plain,
( strictorderP(iPr_def_13)
| ( app(app(skaf61(iPr_def_13),cons(skaf59(iPr_def_13),skaf62(iPr_def_13))),cons(skaf60(iPr_def_13),skaf63(iPr_def_13))) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9527,c_412]) ).
tcf(c_19184,plain,
( strictorderP(cons(sk9,sk4))
| ( app(app(skaf61(cons(sk9,sk4)),cons(skaf59(cons(sk9,sk4)),skaf62(cons(sk9,sk4)))),cons(skaf60(cons(sk9,sk4)),skaf63(cons(sk9,sk4)))) = cons(sk9,sk4) ) ),
inference(superposition,[status(thm)],[c_12535,c_412]) ).
tcf(c_19185,plain,
( strictorderP(cons(sk9,sk7))
| ( app(app(skaf61(cons(sk9,sk7)),cons(skaf59(cons(sk9,sk7)),skaf62(cons(sk9,sk7)))),cons(skaf60(cons(sk9,sk7)),skaf63(cons(sk9,sk7)))) = cons(sk9,sk7) ) ),
inference(superposition,[status(thm)],[c_14920,c_412]) ).
tcf(c_19186,plain,
( strictorderP(cons(sk9,sk8))
| ( app(app(skaf61(cons(sk9,sk8)),cons(skaf59(cons(sk9,sk8)),skaf62(cons(sk9,sk8)))),cons(skaf60(cons(sk9,sk8)),skaf63(cons(sk9,sk8)))) = cons(sk9,sk8) ) ),
inference(superposition,[status(thm)],[c_15373,c_412]) ).
tcf(c_19338,plain,
! [X0: $i] :
( ( app(skaf68(X0),skaf45(skaf68(X0),skaf68(X0))) = skaf68(X0) )
| ~ ssList(skaf68(X0)) ),
inference(superposition,[status(thm)],[c_10475,c_379]) ).
tcf(c_19340,plain,
! [X0: $i] : app(skaf68(X0),skaf45(skaf68(X0),skaf68(X0))) = skaf68(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_19338,c_274]) ).
tcf(c_19350,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_12))
| ( nil = iPr_def_12 )
| ~ strictorderedP(iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssItem(X0)
| ~ lt(X0,sk5) ),
inference(superposition,[status(thm)],[c_10687,c_407]) ).
tcf(c_19351,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_12))
| ( nil = iPr_def_12 )
| ~ totalorderedP(iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssItem(X0)
| ~ leq(X0,sk5) ),
inference(superposition,[status(thm)],[c_10687,c_406]) ).
tcf(c_19353,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_12))
| ~ ssItem(X0)
| ~ leq(X0,sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19351,c_10150,c_9096,c_9489]) ).
tcf(c_19357,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_12))
| ~ ssItem(X0)
| ~ lt(X0,sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19350,c_10150,c_9088,c_9489]) ).
tcf(c_19378,plain,
! [X0: $i] :
( ( app(skaf67(X0),skaf45(skaf67(X0),skaf67(X0))) = skaf67(X0) )
| ~ ssList(skaf67(X0)) ),
inference(superposition,[status(thm)],[c_10741,c_379]) ).
tcf(c_19380,plain,
! [X0: $i] : app(skaf67(X0),skaf45(skaf67(X0),skaf67(X0))) = skaf67(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_19378,c_275]) ).
tcf(c_19382,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_14))
| ( nil = iPr_def_14 )
| ~ strictorderedP(iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssItem(X0)
| ~ lt(X0,sk6) ),
inference(superposition,[status(thm)],[c_11259,c_407]) ).
tcf(c_19383,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_14))
| ( nil = iPr_def_14 )
| ~ totalorderedP(iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssItem(X0)
| ~ leq(X0,sk6) ),
inference(superposition,[status(thm)],[c_11259,c_406]) ).
tcf(c_19385,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_14))
| ~ ssItem(X0)
| ~ leq(X0,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19383,c_10149,c_9095,c_9488]) ).
tcf(c_19389,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_14))
| ~ ssItem(X0)
| ~ lt(X0,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19382,c_10149,c_9087,c_9488]) ).
tcf(c_19440,plain,
! [X0: $i] :
( ( skaf46(sk7,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf46(sk7,sk7))
| ~ ssList(skaf45(sk7,skaf46(sk7,sk7)))
| ( app(X0,skaf45(sk7,skaf46(sk7,sk7))) != sk7 ) ),
inference(superposition,[status(thm)],[c_13643,c_398]) ).
tcf(c_19442,plain,
! [X0: $i] :
( memberP(skaf46(sk7,sk7),X0)
| memberP(skaf45(sk7,skaf46(sk7,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf46(sk7,sk7))
| ~ ssList(skaf45(sk7,skaf46(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_13643,c_405]) ).
tcf(c_19443,plain,
( ( skaf45(sk7,skaf46(sk7,sk7)) = nil )
| ~ ssList(skaf46(sk7,sk7))
| ~ ssList(skaf45(sk7,skaf46(sk7,sk7)))
| ( sk7 != nil ) ),
inference(superposition,[status(thm)],[c_13643,c_366]) ).
tcf(c_19444,plain,
( ( skaf46(sk7,sk7) = nil )
| ~ ssList(skaf46(sk7,sk7))
| ~ ssList(skaf45(sk7,skaf46(sk7,sk7)))
| ( sk7 != nil ) ),
inference(superposition,[status(thm)],[c_13643,c_365]) ).
tcf(c_19446,plain,
( rearsegP(sk7,skaf45(sk7,skaf46(sk7,sk7)))
| ~ ssList(skaf46(sk7,sk7))
| ~ ssList(skaf45(sk7,skaf46(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_13643,c_807]) ).
tcf(c_19447,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ~ ssItem(X0)
| ~ ssList(skaf46(sk7,sk7))
| ~ ssList(skaf45(sk7,skaf46(sk7,sk7)))
| ~ memberP(skaf45(sk7,skaf46(sk7,sk7)),X0) ),
inference(superposition,[status(thm)],[c_13643,c_388]) ).
tcf(c_19448,plain,
! [X0: $i] :
( rearsegP(sk7,X0)
| ~ ssList(X0)
| ~ ssList(skaf46(sk7,sk7))
| ~ ssList(skaf45(sk7,skaf46(sk7,sk7)))
| ~ rearsegP(skaf45(sk7,skaf46(sk7,sk7)),X0) ),
inference(superposition,[status(thm)],[c_13643,c_383]) ).
tcf(c_19449,plain,
! [X0: $i] :
( ( skaf45(sk7,skaf46(sk7,sk7)) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf46(sk7,sk7))
| ~ ssList(skaf45(sk7,skaf46(sk7,sk7)))
| ( app(skaf46(sk7,sk7),X0) != sk7 ) ),
inference(superposition,[status(thm)],[c_13643,c_397]) ).
tcf(c_19450,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ~ ssItem(X0)
| ~ ssList(skaf46(sk7,sk7))
| ~ memberP(skaf46(sk7,sk7),X0)
| ~ ssList(skaf45(sk7,skaf46(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_13643,c_387]) ).
tcf(c_19451,plain,
! [X0: $i] :
( frontsegP(sk7,X0)
| ~ ssList(X0)
| ~ ssList(skaf46(sk7,sk7))
| ~ frontsegP(skaf46(sk7,sk7),X0)
| ~ ssList(skaf45(sk7,skaf46(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_13643,c_384]) ).
tcf(c_19452,plain,
rearsegP(sk7,skaf45(sk7,skaf46(sk7,sk7))),
inference(forward_subsumption_resolution,[status(thm)],[c_19446,c_297,c_298]) ).
tcf(c_19456,plain,
( ( skaf45(sk7,skaf46(sk7,sk7)) = nil )
| ( sk7 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19443,c_297,c_298]) ).
tcf(c_19459,plain,
! [X0: $i] :
( rearsegP(sk7,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(sk7,skaf46(sk7,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19448,c_297,c_298]) ).
tcf(c_19463,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(sk7,skaf46(sk7,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19447,c_297,c_298]) ).
tcf(c_19467,plain,
! [X0: $i] :
( memberP(skaf46(sk7,sk7),X0)
| memberP(skaf45(sk7,skaf46(sk7,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19442,c_297,c_298]) ).
tcf(c_19472,plain,
! [X0: $i] :
( ( skaf45(sk7,skaf46(sk7,sk7)) = X0 )
| ~ ssList(X0)
| ( app(skaf46(sk7,sk7),X0) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19449,c_297,c_298]) ).
tcf(c_19476,plain,
! [X0: $i] :
( ( skaf46(sk7,sk7) = X0 )
| ~ ssList(X0)
| ( app(X0,skaf45(sk7,skaf46(sk7,sk7))) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19440,c_297,c_298]) ).
tcf(c_19498,plain,
! [X0: $i] :
( ( skaf46(sk4,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,sk4))
| ~ ssList(skaf45(sk4,skaf46(sk4,sk4)))
| ( app(X0,skaf45(sk4,skaf46(sk4,sk4))) != sk4 ) ),
inference(superposition,[status(thm)],[c_13704,c_398]) ).
tcf(c_19500,plain,
! [X0: $i] :
( memberP(skaf46(sk4,sk4),X0)
| memberP(skaf45(sk4,skaf46(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(skaf46(sk4,sk4))
| ~ ssList(skaf45(sk4,skaf46(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_13704,c_405]) ).
tcf(c_19501,plain,
( ( skaf45(sk4,skaf46(sk4,sk4)) = nil )
| ~ ssList(skaf46(sk4,sk4))
| ~ ssList(skaf45(sk4,skaf46(sk4,sk4)))
| ( sk4 != nil ) ),
inference(superposition,[status(thm)],[c_13704,c_366]) ).
tcf(c_19502,plain,
( ( skaf46(sk4,sk4) = nil )
| ~ ssList(skaf46(sk4,sk4))
| ~ ssList(skaf45(sk4,skaf46(sk4,sk4)))
| ( sk4 != nil ) ),
inference(superposition,[status(thm)],[c_13704,c_365]) ).
tcf(c_19504,plain,
( rearsegP(sk4,skaf45(sk4,skaf46(sk4,sk4)))
| ~ ssList(skaf46(sk4,sk4))
| ~ ssList(skaf45(sk4,skaf46(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_13704,c_807]) ).
tcf(c_19505,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(skaf46(sk4,sk4))
| ~ ssList(skaf45(sk4,skaf46(sk4,sk4)))
| ~ memberP(skaf45(sk4,skaf46(sk4,sk4)),X0) ),
inference(superposition,[status(thm)],[c_13704,c_388]) ).
tcf(c_19506,plain,
! [X0: $i] :
( rearsegP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,sk4))
| ~ ssList(skaf45(sk4,skaf46(sk4,sk4)))
| ~ rearsegP(skaf45(sk4,skaf46(sk4,sk4)),X0) ),
inference(superposition,[status(thm)],[c_13704,c_383]) ).
tcf(c_19507,plain,
! [X0: $i] :
( ( skaf45(sk4,skaf46(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,sk4))
| ~ ssList(skaf45(sk4,skaf46(sk4,sk4)))
| ( app(skaf46(sk4,sk4),X0) != sk4 ) ),
inference(superposition,[status(thm)],[c_13704,c_397]) ).
tcf(c_19508,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(skaf46(sk4,sk4))
| ~ memberP(skaf46(sk4,sk4),X0)
| ~ ssList(skaf45(sk4,skaf46(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_13704,c_387]) ).
tcf(c_19509,plain,
! [X0: $i] :
( frontsegP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,sk4))
| ~ frontsegP(skaf46(sk4,sk4),X0)
| ~ ssList(skaf45(sk4,skaf46(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_13704,c_384]) ).
tcf(c_19510,plain,
rearsegP(sk4,skaf45(sk4,skaf46(sk4,sk4))),
inference(forward_subsumption_resolution,[status(thm)],[c_19504,c_297,c_298]) ).
tcf(c_19514,plain,
( ( skaf45(sk4,skaf46(sk4,sk4)) = nil )
| ( sk4 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19501,c_297,c_298]) ).
tcf(c_19517,plain,
! [X0: $i] :
( rearsegP(sk4,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(sk4,skaf46(sk4,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19506,c_297,c_298]) ).
tcf(c_19521,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(sk4,skaf46(sk4,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19505,c_297,c_298]) ).
tcf(c_19525,plain,
! [X0: $i] :
( memberP(skaf46(sk4,sk4),X0)
| memberP(skaf45(sk4,skaf46(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19500,c_297,c_298]) ).
tcf(c_19530,plain,
! [X0: $i] :
( ( skaf45(sk4,skaf46(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ( app(skaf46(sk4,sk4),X0) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19507,c_297,c_298]) ).
tcf(c_19534,plain,
! [X0: $i] :
( ( skaf46(sk4,sk4) = X0 )
| ~ ssList(X0)
| ( app(X0,skaf45(sk4,skaf46(sk4,sk4))) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19498,c_297,c_298]) ).
tcf(c_19570,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf47(X0,X1) = X2 )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf47(X0,X1))
| ( skaf47(X0,X1) != app(X2,nil) ) ),
inference(superposition,[status(thm)],[c_9127,c_398]) ).
tcf(c_19575,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf47(X0,X1),skaf47(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf47(X0,X1)) ),
inference(superposition,[status(thm)],[c_9127,c_808]) ).
tcf(c_19576,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf47(X0,X1),nil)
| ~ ssList(nil)
| ~ ssList(skaf47(X0,X1)) ),
inference(superposition,[status(thm)],[c_9127,c_807]) ).
tcf(c_19577,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf47(X0,X1),X2)
| ~ ssList(nil)
| ~ ssItem(X2)
| ~ memberP(nil,X2)
| ~ ssList(skaf47(X0,X1)) ),
inference(superposition,[status(thm)],[c_9127,c_388]) ).
tcf(c_19578,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(skaf47(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf47(X0,X1)) ),
inference(superposition,[status(thm)],[c_9127,c_383]) ).
tcf(c_19579,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf47(X0,X1))
| ( app(skaf47(X0,X1),X2) != skaf47(X0,X1) ) ),
inference(superposition,[status(thm)],[c_9127,c_397]) ).
tcf(c_19582,plain,
! [X0: $i,X1: $i] : rearsegP(skaf47(X0,X1),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_19576,c_255,c_296]) ).
tcf(c_19583,plain,
! [X0: $i,X1: $i] : frontsegP(skaf47(X0,X1),skaf47(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_19575,c_255,c_296]) ).
tcf(c_19584,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(skaf47(X1,X2),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19578,c_255,c_296]) ).
tcf(c_19589,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ~ ssList(X2)
| ( app(skaf47(X0,X1),X2) != skaf47(X0,X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19579,c_255,c_296]) ).
tcf(c_19593,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf47(X0,X1) = X2 )
| ~ ssList(X2)
| ( skaf47(X0,X1) != app(X2,nil) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19570,c_255,c_296]) ).
tcf(c_19614,plain,
( totalorderP(sk4)
| ( app(app(skaf56(sk4),cons(skaf54(sk4),skaf57(sk4))),cons(skaf55(sk4),skaf58(sk4))) = sk4 ) ),
inference(superposition,[status(thm)],[c_6486,c_413]) ).
tcf(c_19615,plain,
( totalorderP(sk7)
| ( app(app(skaf56(sk7),cons(skaf54(sk7),skaf57(sk7))),cons(skaf55(sk7),skaf58(sk7))) = sk7 ) ),
inference(superposition,[status(thm)],[c_6483,c_413]) ).
tcf(c_19616,plain,
( totalorderP(sk8)
| ( app(app(skaf56(sk8),cons(skaf54(sk8),skaf57(sk8))),cons(skaf55(sk8),skaf58(sk8))) = sk8 ) ),
inference(superposition,[status(thm)],[c_6482,c_413]) ).
tcf(c_19618,plain,
! [X0: $i] :
( totalorderP(skaf82(X0))
| ( app(app(skaf56(skaf82(X0)),cons(skaf54(skaf82(X0)),skaf57(skaf82(X0)))),cons(skaf55(skaf82(X0)),skaf58(skaf82(X0)))) = skaf82(X0) ) ),
inference(superposition,[status(thm)],[c_260,c_413]) ).
tcf(c_19619,plain,
! [X0: $i] :
( totalorderP(skaf81(X0))
| ( app(app(skaf56(skaf81(X0)),cons(skaf54(skaf81(X0)),skaf57(skaf81(X0)))),cons(skaf55(skaf81(X0)),skaf58(skaf81(X0)))) = skaf81(X0) ) ),
inference(superposition,[status(thm)],[c_261,c_413]) ).
tcf(c_19620,plain,
! [X0: $i] :
( totalorderP(skaf80(X0))
| ( app(app(skaf56(skaf80(X0)),cons(skaf54(skaf80(X0)),skaf57(skaf80(X0)))),cons(skaf55(skaf80(X0)),skaf58(skaf80(X0)))) = skaf80(X0) ) ),
inference(superposition,[status(thm)],[c_262,c_413]) ).
tcf(c_19621,plain,
! [X0: $i] :
( totalorderP(skaf77(X0))
| ( app(app(skaf56(skaf77(X0)),cons(skaf54(skaf77(X0)),skaf57(skaf77(X0)))),cons(skaf55(skaf77(X0)),skaf58(skaf77(X0)))) = skaf77(X0) ) ),
inference(superposition,[status(thm)],[c_265,c_413]) ).
tcf(c_19622,plain,
! [X0: $i] :
( totalorderP(skaf76(X0))
| ( app(app(skaf56(skaf76(X0)),cons(skaf54(skaf76(X0)),skaf57(skaf76(X0)))),cons(skaf55(skaf76(X0)),skaf58(skaf76(X0)))) = skaf76(X0) ) ),
inference(superposition,[status(thm)],[c_266,c_413]) ).
tcf(c_19623,plain,
! [X0: $i] :
( totalorderP(skaf75(X0))
| ( app(app(skaf56(skaf75(X0)),cons(skaf54(skaf75(X0)),skaf57(skaf75(X0)))),cons(skaf55(skaf75(X0)),skaf58(skaf75(X0)))) = skaf75(X0) ) ),
inference(superposition,[status(thm)],[c_267,c_413]) ).
tcf(c_19624,plain,
! [X0: $i] :
( totalorderP(skaf73(X0))
| ( app(app(skaf56(skaf73(X0)),cons(skaf54(skaf73(X0)),skaf57(skaf73(X0)))),cons(skaf55(skaf73(X0)),skaf58(skaf73(X0)))) = skaf73(X0) ) ),
inference(superposition,[status(thm)],[c_269,c_413]) ).
tcf(c_19625,plain,
! [X0: $i] :
( totalorderP(skaf72(X0))
| ( app(app(skaf56(skaf72(X0)),cons(skaf54(skaf72(X0)),skaf57(skaf72(X0)))),cons(skaf55(skaf72(X0)),skaf58(skaf72(X0)))) = skaf72(X0) ) ),
inference(superposition,[status(thm)],[c_270,c_413]) ).
tcf(c_19626,plain,
! [X0: $i] :
( totalorderP(skaf71(X0))
| ( app(app(skaf56(skaf71(X0)),cons(skaf54(skaf71(X0)),skaf57(skaf71(X0)))),cons(skaf55(skaf71(X0)),skaf58(skaf71(X0)))) = skaf71(X0) ) ),
inference(superposition,[status(thm)],[c_271,c_413]) ).
tcf(c_19627,plain,
! [X0: $i] :
( totalorderP(skaf68(X0))
| ( app(app(skaf56(skaf68(X0)),cons(skaf54(skaf68(X0)),skaf57(skaf68(X0)))),cons(skaf55(skaf68(X0)),skaf58(skaf68(X0)))) = skaf68(X0) ) ),
inference(superposition,[status(thm)],[c_274,c_413]) ).
tcf(c_19628,plain,
! [X0: $i] :
( totalorderP(skaf67(X0))
| ( app(app(skaf56(skaf67(X0)),cons(skaf54(skaf67(X0)),skaf57(skaf67(X0)))),cons(skaf55(skaf67(X0)),skaf58(skaf67(X0)))) = skaf67(X0) ) ),
inference(superposition,[status(thm)],[c_275,c_413]) ).
tcf(c_19629,plain,
! [X0: $i] :
( totalorderP(skaf66(X0))
| ( app(app(skaf56(skaf66(X0)),cons(skaf54(skaf66(X0)),skaf57(skaf66(X0)))),cons(skaf55(skaf66(X0)),skaf58(skaf66(X0)))) = skaf66(X0) ) ),
inference(superposition,[status(thm)],[c_276,c_413]) ).
tcf(c_19630,plain,
! [X0: $i] :
( totalorderP(skaf63(X0))
| ( app(app(skaf56(skaf63(X0)),cons(skaf54(skaf63(X0)),skaf57(skaf63(X0)))),cons(skaf55(skaf63(X0)),skaf58(skaf63(X0)))) = skaf63(X0) ) ),
inference(superposition,[status(thm)],[c_279,c_413]) ).
tcf(c_19631,plain,
! [X0: $i] :
( totalorderP(skaf62(X0))
| ( app(app(skaf56(skaf62(X0)),cons(skaf54(skaf62(X0)),skaf57(skaf62(X0)))),cons(skaf55(skaf62(X0)),skaf58(skaf62(X0)))) = skaf62(X0) ) ),
inference(superposition,[status(thm)],[c_280,c_413]) ).
tcf(c_19632,plain,
! [X0: $i] :
( totalorderP(skaf61(X0))
| ( app(app(skaf56(skaf61(X0)),cons(skaf54(skaf61(X0)),skaf57(skaf61(X0)))),cons(skaf55(skaf61(X0)),skaf58(skaf61(X0)))) = skaf61(X0) ) ),
inference(superposition,[status(thm)],[c_281,c_413]) ).
tcf(c_19633,plain,
! [X0: $i] :
( totalorderP(skaf58(X0))
| ( app(app(skaf56(skaf58(X0)),cons(skaf54(skaf58(X0)),skaf57(skaf58(X0)))),cons(skaf55(skaf58(X0)),skaf58(skaf58(X0)))) = skaf58(X0) ) ),
inference(superposition,[status(thm)],[c_284,c_413]) ).
tcf(c_19634,plain,
! [X0: $i] :
( totalorderP(skaf57(X0))
| ( app(app(skaf56(skaf57(X0)),cons(skaf54(skaf57(X0)),skaf57(skaf57(X0)))),cons(skaf55(skaf57(X0)),skaf58(skaf57(X0)))) = skaf57(X0) ) ),
inference(superposition,[status(thm)],[c_285,c_413]) ).
tcf(c_19635,plain,
! [X0: $i] :
( totalorderP(skaf56(X0))
| ( app(app(skaf56(skaf56(X0)),cons(skaf54(skaf56(X0)),skaf57(skaf56(X0)))),cons(skaf55(skaf56(X0)),skaf58(skaf56(X0)))) = skaf56(X0) ) ),
inference(superposition,[status(thm)],[c_286,c_413]) ).
tcf(c_19636,plain,
! [X0: $i] :
( totalorderP(skaf53(X0))
| ( app(app(skaf56(skaf53(X0)),cons(skaf54(skaf53(X0)),skaf57(skaf53(X0)))),cons(skaf55(skaf53(X0)),skaf58(skaf53(X0)))) = skaf53(X0) ) ),
inference(superposition,[status(thm)],[c_289,c_413]) ).
tcf(c_19637,plain,
! [X0: $i] :
( totalorderP(skaf52(X0))
| ( app(app(skaf56(skaf52(X0)),cons(skaf54(skaf52(X0)),skaf57(skaf52(X0)))),cons(skaf55(skaf52(X0)),skaf58(skaf52(X0)))) = skaf52(X0) ) ),
inference(superposition,[status(thm)],[c_290,c_413]) ).
tcf(c_19638,plain,
! [X0: $i] :
( totalorderP(skaf51(X0))
| ( app(app(skaf56(skaf51(X0)),cons(skaf54(skaf51(X0)),skaf57(skaf51(X0)))),cons(skaf55(skaf51(X0)),skaf58(skaf51(X0)))) = skaf51(X0) ) ),
inference(superposition,[status(thm)],[c_291,c_413]) ).
tcf(c_19639,plain,
! [X0: $i,X1: $i] :
( totalorderP(skaf48(X0,X1))
| ( app(app(skaf56(skaf48(X0,X1)),cons(skaf54(skaf48(X0,X1)),skaf57(skaf48(X0,X1)))),cons(skaf55(skaf48(X0,X1)),skaf58(skaf48(X0,X1)))) = skaf48(X0,X1) ) ),
inference(superposition,[status(thm)],[c_295,c_413]) ).
tcf(c_19640,plain,
! [X0: $i,X1: $i] :
( totalorderP(skaf47(X0,X1))
| ( app(app(skaf56(skaf47(X0,X1)),cons(skaf54(skaf47(X0,X1)),skaf57(skaf47(X0,X1)))),cons(skaf55(skaf47(X0,X1)),skaf58(skaf47(X0,X1)))) = skaf47(X0,X1) ) ),
inference(superposition,[status(thm)],[c_296,c_413]) ).
tcf(c_19641,plain,
! [X0: $i,X1: $i] :
( totalorderP(skaf46(X0,X1))
| ( app(app(skaf56(skaf46(X0,X1)),cons(skaf54(skaf46(X0,X1)),skaf57(skaf46(X0,X1)))),cons(skaf55(skaf46(X0,X1)),skaf58(skaf46(X0,X1)))) = skaf46(X0,X1) ) ),
inference(superposition,[status(thm)],[c_297,c_413]) ).
tcf(c_19642,plain,
! [X0: $i,X1: $i] :
( totalorderP(skaf45(X0,X1))
| ( app(app(skaf56(skaf45(X0,X1)),cons(skaf54(skaf45(X0,X1)),skaf57(skaf45(X0,X1)))),cons(skaf55(skaf45(X0,X1)),skaf58(skaf45(X0,X1)))) = skaf45(X0,X1) ) ),
inference(superposition,[status(thm)],[c_298,c_413]) ).
tcf(c_19643,plain,
! [X0: $i,X1: $i] :
( totalorderP(skaf43(X0,X1))
| ( app(app(skaf56(skaf43(X0,X1)),cons(skaf54(skaf43(X0,X1)),skaf57(skaf43(X0,X1)))),cons(skaf55(skaf43(X0,X1)),skaf58(skaf43(X0,X1)))) = skaf43(X0,X1) ) ),
inference(superposition,[status(thm)],[c_299,c_413]) ).
tcf(c_19644,plain,
! [X0: $i,X1: $i] :
( totalorderP(skaf42(X0,X1))
| ( app(app(skaf56(skaf42(X0,X1)),cons(skaf54(skaf42(X0,X1)),skaf57(skaf42(X0,X1)))),cons(skaf55(skaf42(X0,X1)),skaf58(skaf42(X0,X1)))) = skaf42(X0,X1) ) ),
inference(superposition,[status(thm)],[c_300,c_413]) ).
tcf(c_19645,plain,
! [X0: $i] :
( totalorderP(tl(X0))
| ( X0 = nil )
| ( app(app(skaf56(tl(X0)),cons(skaf54(tl(X0)),skaf57(tl(X0)))),cons(skaf55(tl(X0)),skaf58(tl(X0)))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_413]) ).
tcf(c_19646,plain,
! [X0: $i,X1: $i] :
( totalorderP(app(X1,X0))
| ( app(app(skaf56(app(X1,X0)),cons(skaf54(app(X1,X0)),skaf57(app(X1,X0)))),cons(skaf55(app(X1,X0)),skaf58(app(X1,X0)))) = app(X1,X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_413]) ).
tcf(c_19647,plain,
! [X0: $i,X1: $i] :
( totalorderP(cons(X1,X0))
| ( app(app(skaf56(cons(X1,X0)),cons(skaf54(cons(X1,X0)),skaf57(cons(X1,X0)))),cons(skaf55(cons(X1,X0)),skaf58(cons(X1,X0)))) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_413]) ).
tcf(c_19648,plain,
( totalorderP(iPr_def_16)
| ( app(app(skaf56(iPr_def_16),cons(skaf54(iPr_def_16),skaf57(iPr_def_16))),cons(skaf55(iPr_def_16),skaf58(iPr_def_16))) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9020,c_413]) ).
tcf(c_19649,plain,
( totalorderP(iPr_def_13)
| ( app(app(skaf56(iPr_def_13),cons(skaf54(iPr_def_13),skaf57(iPr_def_13))),cons(skaf55(iPr_def_13),skaf58(iPr_def_13))) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9527,c_413]) ).
tcf(c_19652,plain,
( totalorderP(cons(sk9,sk4))
| ( app(app(skaf56(cons(sk9,sk4)),cons(skaf54(cons(sk9,sk4)),skaf57(cons(sk9,sk4)))),cons(skaf55(cons(sk9,sk4)),skaf58(cons(sk9,sk4)))) = cons(sk9,sk4) ) ),
inference(superposition,[status(thm)],[c_12535,c_413]) ).
tcf(c_19653,plain,
( totalorderP(cons(sk9,sk7))
| ( app(app(skaf56(cons(sk9,sk7)),cons(skaf54(cons(sk9,sk7)),skaf57(cons(sk9,sk7)))),cons(skaf55(cons(sk9,sk7)),skaf58(cons(sk9,sk7)))) = cons(sk9,sk7) ) ),
inference(superposition,[status(thm)],[c_14920,c_413]) ).
tcf(c_19654,plain,
( totalorderP(cons(sk9,sk8))
| ( app(app(skaf56(cons(sk9,sk8)),cons(skaf54(cons(sk9,sk8)),skaf57(cons(sk9,sk8)))),cons(skaf55(cons(sk9,sk8)),skaf58(cons(sk9,sk8)))) = cons(sk9,sk8) ) ),
inference(superposition,[status(thm)],[c_15373,c_413]) ).
tcf(c_19865,plain,
( cyclefreeP(sk4)
| ( app(app(skaf51(sk4),cons(skaf49(sk4),skaf52(sk4))),cons(skaf50(sk4),skaf53(sk4))) = sk4 ) ),
inference(superposition,[status(thm)],[c_6486,c_414]) ).
tcf(c_19866,plain,
( cyclefreeP(sk7)
| ( app(app(skaf51(sk7),cons(skaf49(sk7),skaf52(sk7))),cons(skaf50(sk7),skaf53(sk7))) = sk7 ) ),
inference(superposition,[status(thm)],[c_6483,c_414]) ).
tcf(c_19867,plain,
( cyclefreeP(sk8)
| ( app(app(skaf51(sk8),cons(skaf49(sk8),skaf52(sk8))),cons(skaf50(sk8),skaf53(sk8))) = sk8 ) ),
inference(superposition,[status(thm)],[c_6482,c_414]) ).
tcf(c_19869,plain,
! [X0: $i] :
( cyclefreeP(skaf82(X0))
| ( app(app(skaf51(skaf82(X0)),cons(skaf49(skaf82(X0)),skaf52(skaf82(X0)))),cons(skaf50(skaf82(X0)),skaf53(skaf82(X0)))) = skaf82(X0) ) ),
inference(superposition,[status(thm)],[c_260,c_414]) ).
tcf(c_19870,plain,
! [X0: $i] :
( cyclefreeP(skaf81(X0))
| ( app(app(skaf51(skaf81(X0)),cons(skaf49(skaf81(X0)),skaf52(skaf81(X0)))),cons(skaf50(skaf81(X0)),skaf53(skaf81(X0)))) = skaf81(X0) ) ),
inference(superposition,[status(thm)],[c_261,c_414]) ).
tcf(c_19871,plain,
! [X0: $i] :
( cyclefreeP(skaf80(X0))
| ( app(app(skaf51(skaf80(X0)),cons(skaf49(skaf80(X0)),skaf52(skaf80(X0)))),cons(skaf50(skaf80(X0)),skaf53(skaf80(X0)))) = skaf80(X0) ) ),
inference(superposition,[status(thm)],[c_262,c_414]) ).
tcf(c_19872,plain,
! [X0: $i] :
( cyclefreeP(skaf77(X0))
| ( app(app(skaf51(skaf77(X0)),cons(skaf49(skaf77(X0)),skaf52(skaf77(X0)))),cons(skaf50(skaf77(X0)),skaf53(skaf77(X0)))) = skaf77(X0) ) ),
inference(superposition,[status(thm)],[c_265,c_414]) ).
tcf(c_19873,plain,
! [X0: $i] :
( cyclefreeP(skaf76(X0))
| ( app(app(skaf51(skaf76(X0)),cons(skaf49(skaf76(X0)),skaf52(skaf76(X0)))),cons(skaf50(skaf76(X0)),skaf53(skaf76(X0)))) = skaf76(X0) ) ),
inference(superposition,[status(thm)],[c_266,c_414]) ).
tcf(c_19874,plain,
! [X0: $i] :
( cyclefreeP(skaf75(X0))
| ( app(app(skaf51(skaf75(X0)),cons(skaf49(skaf75(X0)),skaf52(skaf75(X0)))),cons(skaf50(skaf75(X0)),skaf53(skaf75(X0)))) = skaf75(X0) ) ),
inference(superposition,[status(thm)],[c_267,c_414]) ).
tcf(c_19875,plain,
! [X0: $i] :
( cyclefreeP(skaf73(X0))
| ( app(app(skaf51(skaf73(X0)),cons(skaf49(skaf73(X0)),skaf52(skaf73(X0)))),cons(skaf50(skaf73(X0)),skaf53(skaf73(X0)))) = skaf73(X0) ) ),
inference(superposition,[status(thm)],[c_269,c_414]) ).
tcf(c_19876,plain,
! [X0: $i] :
( cyclefreeP(skaf72(X0))
| ( app(app(skaf51(skaf72(X0)),cons(skaf49(skaf72(X0)),skaf52(skaf72(X0)))),cons(skaf50(skaf72(X0)),skaf53(skaf72(X0)))) = skaf72(X0) ) ),
inference(superposition,[status(thm)],[c_270,c_414]) ).
tcf(c_19877,plain,
! [X0: $i] :
( cyclefreeP(skaf71(X0))
| ( app(app(skaf51(skaf71(X0)),cons(skaf49(skaf71(X0)),skaf52(skaf71(X0)))),cons(skaf50(skaf71(X0)),skaf53(skaf71(X0)))) = skaf71(X0) ) ),
inference(superposition,[status(thm)],[c_271,c_414]) ).
tcf(c_19878,plain,
! [X0: $i] :
( cyclefreeP(skaf68(X0))
| ( app(app(skaf51(skaf68(X0)),cons(skaf49(skaf68(X0)),skaf52(skaf68(X0)))),cons(skaf50(skaf68(X0)),skaf53(skaf68(X0)))) = skaf68(X0) ) ),
inference(superposition,[status(thm)],[c_274,c_414]) ).
tcf(c_19879,plain,
! [X0: $i] :
( cyclefreeP(skaf67(X0))
| ( app(app(skaf51(skaf67(X0)),cons(skaf49(skaf67(X0)),skaf52(skaf67(X0)))),cons(skaf50(skaf67(X0)),skaf53(skaf67(X0)))) = skaf67(X0) ) ),
inference(superposition,[status(thm)],[c_275,c_414]) ).
tcf(c_19880,plain,
! [X0: $i] :
( cyclefreeP(skaf66(X0))
| ( app(app(skaf51(skaf66(X0)),cons(skaf49(skaf66(X0)),skaf52(skaf66(X0)))),cons(skaf50(skaf66(X0)),skaf53(skaf66(X0)))) = skaf66(X0) ) ),
inference(superposition,[status(thm)],[c_276,c_414]) ).
tcf(c_19881,plain,
! [X0: $i] :
( cyclefreeP(skaf63(X0))
| ( app(app(skaf51(skaf63(X0)),cons(skaf49(skaf63(X0)),skaf52(skaf63(X0)))),cons(skaf50(skaf63(X0)),skaf53(skaf63(X0)))) = skaf63(X0) ) ),
inference(superposition,[status(thm)],[c_279,c_414]) ).
tcf(c_19882,plain,
! [X0: $i] :
( cyclefreeP(skaf62(X0))
| ( app(app(skaf51(skaf62(X0)),cons(skaf49(skaf62(X0)),skaf52(skaf62(X0)))),cons(skaf50(skaf62(X0)),skaf53(skaf62(X0)))) = skaf62(X0) ) ),
inference(superposition,[status(thm)],[c_280,c_414]) ).
tcf(c_19883,plain,
! [X0: $i] :
( cyclefreeP(skaf61(X0))
| ( app(app(skaf51(skaf61(X0)),cons(skaf49(skaf61(X0)),skaf52(skaf61(X0)))),cons(skaf50(skaf61(X0)),skaf53(skaf61(X0)))) = skaf61(X0) ) ),
inference(superposition,[status(thm)],[c_281,c_414]) ).
tcf(c_19884,plain,
! [X0: $i] :
( cyclefreeP(skaf58(X0))
| ( app(app(skaf51(skaf58(X0)),cons(skaf49(skaf58(X0)),skaf52(skaf58(X0)))),cons(skaf50(skaf58(X0)),skaf53(skaf58(X0)))) = skaf58(X0) ) ),
inference(superposition,[status(thm)],[c_284,c_414]) ).
tcf(c_19885,plain,
! [X0: $i] :
( cyclefreeP(skaf57(X0))
| ( app(app(skaf51(skaf57(X0)),cons(skaf49(skaf57(X0)),skaf52(skaf57(X0)))),cons(skaf50(skaf57(X0)),skaf53(skaf57(X0)))) = skaf57(X0) ) ),
inference(superposition,[status(thm)],[c_285,c_414]) ).
tcf(c_19886,plain,
! [X0: $i] :
( cyclefreeP(skaf56(X0))
| ( app(app(skaf51(skaf56(X0)),cons(skaf49(skaf56(X0)),skaf52(skaf56(X0)))),cons(skaf50(skaf56(X0)),skaf53(skaf56(X0)))) = skaf56(X0) ) ),
inference(superposition,[status(thm)],[c_286,c_414]) ).
tcf(c_19887,plain,
! [X0: $i] :
( cyclefreeP(skaf53(X0))
| ( app(app(skaf51(skaf53(X0)),cons(skaf49(skaf53(X0)),skaf52(skaf53(X0)))),cons(skaf50(skaf53(X0)),skaf53(skaf53(X0)))) = skaf53(X0) ) ),
inference(superposition,[status(thm)],[c_289,c_414]) ).
tcf(c_19888,plain,
! [X0: $i] :
( cyclefreeP(skaf52(X0))
| ( app(app(skaf51(skaf52(X0)),cons(skaf49(skaf52(X0)),skaf52(skaf52(X0)))),cons(skaf50(skaf52(X0)),skaf53(skaf52(X0)))) = skaf52(X0) ) ),
inference(superposition,[status(thm)],[c_290,c_414]) ).
tcf(c_19889,plain,
! [X0: $i] :
( cyclefreeP(skaf51(X0))
| ( app(app(skaf51(skaf51(X0)),cons(skaf49(skaf51(X0)),skaf52(skaf51(X0)))),cons(skaf50(skaf51(X0)),skaf53(skaf51(X0)))) = skaf51(X0) ) ),
inference(superposition,[status(thm)],[c_291,c_414]) ).
tcf(c_19890,plain,
! [X0: $i,X1: $i] :
( cyclefreeP(skaf48(X0,X1))
| ( app(app(skaf51(skaf48(X0,X1)),cons(skaf49(skaf48(X0,X1)),skaf52(skaf48(X0,X1)))),cons(skaf50(skaf48(X0,X1)),skaf53(skaf48(X0,X1)))) = skaf48(X0,X1) ) ),
inference(superposition,[status(thm)],[c_295,c_414]) ).
tcf(c_19891,plain,
! [X0: $i,X1: $i] :
( cyclefreeP(skaf47(X0,X1))
| ( app(app(skaf51(skaf47(X0,X1)),cons(skaf49(skaf47(X0,X1)),skaf52(skaf47(X0,X1)))),cons(skaf50(skaf47(X0,X1)),skaf53(skaf47(X0,X1)))) = skaf47(X0,X1) ) ),
inference(superposition,[status(thm)],[c_296,c_414]) ).
tcf(c_19892,plain,
! [X0: $i,X1: $i] :
( cyclefreeP(skaf46(X0,X1))
| ( app(app(skaf51(skaf46(X0,X1)),cons(skaf49(skaf46(X0,X1)),skaf52(skaf46(X0,X1)))),cons(skaf50(skaf46(X0,X1)),skaf53(skaf46(X0,X1)))) = skaf46(X0,X1) ) ),
inference(superposition,[status(thm)],[c_297,c_414]) ).
tcf(c_19893,plain,
! [X0: $i,X1: $i] :
( cyclefreeP(skaf45(X0,X1))
| ( app(app(skaf51(skaf45(X0,X1)),cons(skaf49(skaf45(X0,X1)),skaf52(skaf45(X0,X1)))),cons(skaf50(skaf45(X0,X1)),skaf53(skaf45(X0,X1)))) = skaf45(X0,X1) ) ),
inference(superposition,[status(thm)],[c_298,c_414]) ).
tcf(c_19894,plain,
! [X0: $i,X1: $i] :
( cyclefreeP(skaf43(X0,X1))
| ( app(app(skaf51(skaf43(X0,X1)),cons(skaf49(skaf43(X0,X1)),skaf52(skaf43(X0,X1)))),cons(skaf50(skaf43(X0,X1)),skaf53(skaf43(X0,X1)))) = skaf43(X0,X1) ) ),
inference(superposition,[status(thm)],[c_299,c_414]) ).
tcf(c_19895,plain,
! [X0: $i,X1: $i] :
( cyclefreeP(skaf42(X0,X1))
| ( app(app(skaf51(skaf42(X0,X1)),cons(skaf49(skaf42(X0,X1)),skaf52(skaf42(X0,X1)))),cons(skaf50(skaf42(X0,X1)),skaf53(skaf42(X0,X1)))) = skaf42(X0,X1) ) ),
inference(superposition,[status(thm)],[c_300,c_414]) ).
tcf(c_19896,plain,
! [X0: $i] :
( cyclefreeP(tl(X0))
| ( X0 = nil )
| ( app(app(skaf51(tl(X0)),cons(skaf49(tl(X0)),skaf52(tl(X0)))),cons(skaf50(tl(X0)),skaf53(tl(X0)))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_414]) ).
tcf(c_19897,plain,
! [X0: $i,X1: $i] :
( cyclefreeP(app(X1,X0))
| ( app(app(skaf51(app(X1,X0)),cons(skaf49(app(X1,X0)),skaf52(app(X1,X0)))),cons(skaf50(app(X1,X0)),skaf53(app(X1,X0)))) = app(X1,X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_414]) ).
tcf(c_19898,plain,
! [X0: $i,X1: $i] :
( cyclefreeP(cons(X1,X0))
| ( app(app(skaf51(cons(X1,X0)),cons(skaf49(cons(X1,X0)),skaf52(cons(X1,X0)))),cons(skaf50(cons(X1,X0)),skaf53(cons(X1,X0)))) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_414]) ).
tcf(c_19899,plain,
( cyclefreeP(iPr_def_16)
| ( app(app(skaf51(iPr_def_16),cons(skaf49(iPr_def_16),skaf52(iPr_def_16))),cons(skaf50(iPr_def_16),skaf53(iPr_def_16))) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9020,c_414]) ).
tcf(c_19900,plain,
( cyclefreeP(iPr_def_13)
| ( app(app(skaf51(iPr_def_13),cons(skaf49(iPr_def_13),skaf52(iPr_def_13))),cons(skaf50(iPr_def_13),skaf53(iPr_def_13))) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9527,c_414]) ).
tcf(c_19903,plain,
( cyclefreeP(cons(sk9,sk4))
| ( app(app(skaf51(cons(sk9,sk4)),cons(skaf49(cons(sk9,sk4)),skaf52(cons(sk9,sk4)))),cons(skaf50(cons(sk9,sk4)),skaf53(cons(sk9,sk4)))) = cons(sk9,sk4) ) ),
inference(superposition,[status(thm)],[c_12535,c_414]) ).
tcf(c_19904,plain,
( cyclefreeP(cons(sk9,sk7))
| ( app(app(skaf51(cons(sk9,sk7)),cons(skaf49(cons(sk9,sk7)),skaf52(cons(sk9,sk7)))),cons(skaf50(cons(sk9,sk7)),skaf53(cons(sk9,sk7)))) = cons(sk9,sk7) ) ),
inference(superposition,[status(thm)],[c_14920,c_414]) ).
tcf(c_19905,plain,
( cyclefreeP(cons(sk9,sk8))
| ( app(app(skaf51(cons(sk9,sk8)),cons(skaf49(cons(sk9,sk8)),skaf52(cons(sk9,sk8)))),cons(skaf50(cons(sk9,sk8)),skaf53(cons(sk9,sk8)))) = cons(sk9,sk8) ) ),
inference(superposition,[status(thm)],[c_15373,c_414]) ).
tcf(c_20064,plain,
! [X0: $i] :
( ( app(app(skaf47(X0,nil),nil),skaf48(nil,X0)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_303,c_415]) ).
tcf(c_20065,plain,
! [X0: $i] :
( ( app(app(skaf47(X0,X0),X0),skaf48(X0,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_304,c_415]) ).
tcf(c_20066,plain,
( ( app(app(skaf47(nil,nil),nil),skaf48(nil,nil)) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_557,c_415]) ).
tcf(c_20067,plain,
app(app(skaf47(nil,nil),nil),skaf48(nil,nil)) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_20066,c_255]) ).
tcf(c_20070,plain,
! [X0: $i] :
( ( app(app(skaf47(X0,nil),nil),skaf48(nil,X0)) = X0 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20064,c_255]) ).
tcf(c_20081,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(skaf42(cons(X0,X1),X2),cons(X2,skaf43(X2,cons(X0,X1)))) = cons(X0,X1) )
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(X1,X2)
| ~ ssList(cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_386,c_416]) ).
tcf(c_20082,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(skaf42(app(X0,X1),X2),cons(X2,skaf43(X2,app(X0,X1)))) = app(X0,X1) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,X2)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_387,c_416]) ).
tcf(c_20083,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(skaf42(app(X0,X1),X2),cons(X2,skaf43(X2,app(X0,X1)))) = app(X0,X1) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_388,c_416]) ).
tcf(c_20084,plain,
! [X0: $i,X1: $i] :
( ( app(skaf42(cons(X0,X1),X0),cons(X0,skaf43(X0,cons(X0,X1)))) = cons(X0,X1) )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_385,c_416]) ).
tcf(c_20085,plain,
( ( app(skaf42(iPr_def_12,sk5),cons(sk5,skaf43(sk5,iPr_def_12))) = iPr_def_12 )
| ~ ssItem(sk5)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_9709,c_416]) ).
tcf(c_20086,plain,
( ( app(skaf42(iPr_def_14,sk6),cons(sk6,skaf43(sk6,iPr_def_14))) = iPr_def_14 )
| ~ ssItem(sk6)
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_9708,c_416]) ).
tcf(c_20087,plain,
( ( app(skaf42(iPr_def_13,sk5),cons(sk5,skaf43(sk5,iPr_def_13))) = iPr_def_13 )
| ~ ssItem(sk5)
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_16170,c_416]) ).
tcf(c_20088,plain,
app(skaf42(iPr_def_13,sk5),cons(sk5,skaf43(sk5,iPr_def_13))) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_20087,c_6485,c_9527]) ).
tcf(c_20089,plain,
app(skaf42(iPr_def_14,sk6),cons(sk6,skaf43(sk6,iPr_def_14))) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_20086,c_6484,c_9488]) ).
tcf(c_20090,plain,
app(skaf42(iPr_def_12,sk5),cons(sk5,skaf43(sk5,iPr_def_12))) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_20085,c_6485,c_9489]) ).
tcf(c_20115,plain,
! [X0: $i] :
( ( app(skaf66(X0),skaf45(skaf66(X0),skaf66(X0))) = skaf66(X0) )
| ~ ssList(skaf66(X0)) ),
inference(superposition,[status(thm)],[c_11495,c_379]) ).
tcf(c_20117,plain,
! [X0: $i] : app(skaf66(X0),skaf45(skaf66(X0),skaf66(X0))) = skaf66(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_20115,c_276]) ).
tcf(c_20120,plain,
! [X0: $i] :
( ( app(skaf63(X0),skaf45(skaf63(X0),skaf63(X0))) = skaf63(X0) )
| ~ ssList(skaf63(X0)) ),
inference(superposition,[status(thm)],[c_11810,c_379]) ).
tcf(c_20122,plain,
! [X0: $i] : app(skaf63(X0),skaf45(skaf63(X0),skaf63(X0))) = skaf63(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_20120,c_279]) ).
tcf(c_20125,plain,
! [X0: $i] :
( ( app(skaf62(X0),skaf45(skaf62(X0),skaf62(X0))) = skaf62(X0) )
| ~ ssList(skaf62(X0)) ),
inference(superposition,[status(thm)],[c_12588,c_379]) ).
tcf(c_20127,plain,
! [X0: $i] : app(skaf62(X0),skaf45(skaf62(X0),skaf62(X0))) = skaf62(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_20125,c_280]) ).
tcf(c_20136,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_14114,c_17445]) ).
tcf(c_20140,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_14142,c_17451]) ).
tcf(c_20147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf46(X0,X1) = X2 )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf46(X0,X1))
| ( skaf46(X0,X1) != app(X2,nil) ) ),
inference(superposition,[status(thm)],[c_9128,c_398]) ).
tcf(c_20152,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf46(X0,X1),skaf46(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf46(X0,X1)) ),
inference(superposition,[status(thm)],[c_9128,c_808]) ).
tcf(c_20153,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf46(X0,X1),nil)
| ~ ssList(nil)
| ~ ssList(skaf46(X0,X1)) ),
inference(superposition,[status(thm)],[c_9128,c_807]) ).
tcf(c_20154,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf46(X0,X1),X2)
| ~ ssList(nil)
| ~ ssItem(X2)
| ~ memberP(nil,X2)
| ~ ssList(skaf46(X0,X1)) ),
inference(superposition,[status(thm)],[c_9128,c_388]) ).
tcf(c_20155,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(skaf46(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf46(X0,X1)) ),
inference(superposition,[status(thm)],[c_9128,c_383]) ).
tcf(c_20156,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf46(X0,X1))
| ( app(skaf46(X0,X1),X2) != skaf46(X0,X1) ) ),
inference(superposition,[status(thm)],[c_9128,c_397]) ).
tcf(c_20159,plain,
! [X0: $i,X1: $i] : rearsegP(skaf46(X0,X1),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_20153,c_255,c_297]) ).
tcf(c_20160,plain,
! [X0: $i,X1: $i] : frontsegP(skaf46(X0,X1),skaf46(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_20152,c_255,c_297]) ).
tcf(c_20161,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(skaf46(X1,X2),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20155,c_255,c_297]) ).
tcf(c_20166,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ~ ssList(X2)
| ( app(skaf46(X0,X1),X2) != skaf46(X0,X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20156,c_255,c_297]) ).
tcf(c_20170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf46(X0,X1) = X2 )
| ~ ssList(X2)
| ( skaf46(X0,X1) != app(X2,nil) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20147,c_255,c_297]) ).
tcf(c_20189,plain,
! [X0: $i,X1: $i] :
( segmentP(app(nil,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_559,c_419]) ).
tcf(c_20190,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_6474,c_419]) ).
tcf(c_20191,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_15,X1),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_6476,c_419]) ).
tcf(c_20192,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(iPr_def_15)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(superposition,[status(thm)],[c_6477,c_419]) ).
tcf(c_20193,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk4,X1),X0)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_9101,c_419]) ).
tcf(c_20194,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk7,X1),X0)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_9102,c_419]) ).
tcf(c_20195,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk8,X1),X0)
| ~ ssList(nil)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_9103,c_419]) ).
tcf(c_20196,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf82(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf82(X0)) ),
inference(superposition,[status(thm)],[c_9105,c_419]) ).
tcf(c_20197,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf81(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf81(X0)) ),
inference(superposition,[status(thm)],[c_9106,c_419]) ).
tcf(c_20198,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf80(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf80(X0)) ),
inference(superposition,[status(thm)],[c_9107,c_419]) ).
tcf(c_20199,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf77(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf77(X0)) ),
inference(superposition,[status(thm)],[c_9108,c_419]) ).
tcf(c_20200,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf76(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf76(X0)) ),
inference(superposition,[status(thm)],[c_9109,c_419]) ).
tcf(c_20201,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf75(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf75(X0)) ),
inference(superposition,[status(thm)],[c_9110,c_419]) ).
tcf(c_20202,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf73(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf73(X0)) ),
inference(superposition,[status(thm)],[c_9111,c_419]) ).
tcf(c_20203,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf72(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf72(X0)) ),
inference(superposition,[status(thm)],[c_9112,c_419]) ).
tcf(c_20204,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf71(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf71(X0)) ),
inference(superposition,[status(thm)],[c_9113,c_419]) ).
tcf(c_20205,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf68(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf68(X0)) ),
inference(superposition,[status(thm)],[c_9114,c_419]) ).
tcf(c_20206,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf67(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf67(X0)) ),
inference(superposition,[status(thm)],[c_9115,c_419]) ).
tcf(c_20207,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf66(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf66(X0)) ),
inference(superposition,[status(thm)],[c_9116,c_419]) ).
tcf(c_20208,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf63(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf63(X0)) ),
inference(superposition,[status(thm)],[c_9117,c_419]) ).
tcf(c_20209,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf62(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf62(X0)) ),
inference(superposition,[status(thm)],[c_9118,c_419]) ).
tcf(c_20210,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf61(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf61(X0)) ),
inference(superposition,[status(thm)],[c_9119,c_419]) ).
tcf(c_20211,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf58(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf58(X0)) ),
inference(superposition,[status(thm)],[c_9120,c_419]) ).
tcf(c_20212,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf57(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf57(X0)) ),
inference(superposition,[status(thm)],[c_9121,c_419]) ).
tcf(c_20213,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf56(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf56(X0)) ),
inference(superposition,[status(thm)],[c_9122,c_419]) ).
tcf(c_20214,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf53(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf53(X0)) ),
inference(superposition,[status(thm)],[c_9123,c_419]) ).
tcf(c_20215,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf52(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf52(X0)) ),
inference(superposition,[status(thm)],[c_9124,c_419]) ).
tcf(c_20216,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf51(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(nil,X1)
| ~ ssList(skaf51(X0)) ),
inference(superposition,[status(thm)],[c_9125,c_419]) ).
tcf(c_20217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf48(X0,X1),X3),X2)
| ~ ssList(nil)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(nil,X2)
| ~ ssList(skaf48(X0,X1)) ),
inference(superposition,[status(thm)],[c_9126,c_419]) ).
tcf(c_20218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf47(X0,X1),X3),X2)
| ~ ssList(nil)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(nil,X2)
| ~ ssList(skaf47(X0,X1)) ),
inference(superposition,[status(thm)],[c_9127,c_419]) ).
tcf(c_20219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf46(X0,X1),X3),X2)
| ~ ssList(nil)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(nil,X2)
| ~ ssList(skaf46(X0,X1)) ),
inference(superposition,[status(thm)],[c_9128,c_419]) ).
tcf(c_20220,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_9132,c_419]) ).
tcf(c_20221,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk4,X1),X0)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_9196,c_419]) ).
tcf(c_20222,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk7,X1),X0)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(superposition,[status(thm)],[c_9197,c_419]) ).
tcf(c_20223,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk8,X1),X0)
| ~ ssList(nil)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(superposition,[status(thm)],[c_9198,c_419]) ).
tcf(c_20224,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_9227,c_419]) ).
tcf(c_20225,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_14,X1),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_9514,c_419]) ).
tcf(c_20226,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_14,X1),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_9515,c_419]) ).
tcf(c_20227,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_9517,c_419]) ).
tcf(c_20228,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_9518,c_419]) ).
tcf(c_20229,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_9530,c_419]) ).
tcf(c_20230,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_9531,c_419]) ).
tcf(c_20231,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk9,sk4),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12358,c_419]) ).
tcf(c_20232,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk9,sk7),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12359,c_419]) ).
tcf(c_20233,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk9,sk8),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_12360,c_419]) ).
tcf(c_20234,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(skaf46(iPr_def_16,sk8)) ),
inference(superposition,[status(thm)],[c_12970,c_419]) ).
tcf(c_20235,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk4,X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_12959,c_419]) ).
tcf(c_20236,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk7,X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_12958,c_419]) ).
tcf(c_20237,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk8,X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_12957,c_419]) ).
tcf(c_20238,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_13,sk7))
| ~ segmentP(skaf45(iPr_def_13,sk7),X0) ),
inference(superposition,[status(thm)],[c_13166,c_419]) ).
tcf(c_20239,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk8,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf46(sk8,sk8))
| ~ ssList(skaf45(sk8,skaf46(sk8,sk8)))
| ~ segmentP(skaf45(sk8,skaf46(sk8,sk8)),X0) ),
inference(superposition,[status(thm)],[c_13622,c_419]) ).
tcf(c_20240,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk7,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf46(sk7,sk7))
| ~ ssList(skaf45(sk7,skaf46(sk7,sk7)))
| ~ segmentP(skaf45(sk7,skaf46(sk7,sk7)),X0) ),
inference(superposition,[status(thm)],[c_13643,c_419]) ).
tcf(c_20241,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk4,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,sk4))
| ~ ssList(skaf45(sk4,skaf46(sk4,sk4)))
| ~ segmentP(skaf45(sk4,skaf46(sk4,sk4)),X0) ),
inference(superposition,[status(thm)],[c_13704,c_419]) ).
tcf(c_20242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( segmentP(X0,X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X2,X4)
| ~ ssList(app(app(X1,X2),X3))
| ~ segmentP(X0,app(app(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_419,c_399]) ).
tcf(c_20243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(skaf47(app(app(X0,X1),X2),X3),X3),skaf48(X3,app(app(X0,X1),X2))) = app(app(X0,X1),X2) )
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X3)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_419,c_415]) ).
tcf(c_20244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X1,X2),X3) = X0 )
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X2,X0)
| ~ ssList(app(app(X1,X2),X3))
| ~ segmentP(X0,app(app(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_419,c_374]) ).
tcf(c_20245,plain,
! [X0: $i,X1: $i] :
( segmentP(app(nil,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20189,c_255]) ).
tcf(c_20250,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20230,c_9527,c_255]) ).
tcf(c_20255,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20229,c_9527,c_255]) ).
tcf(c_20260,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20228,c_9489,c_255]) ).
tcf(c_20265,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20227,c_9489,c_255]) ).
tcf(c_20270,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_14,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20226,c_9488,c_255]) ).
tcf(c_20275,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_14,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20225,c_9488,c_255]) ).
tcf(c_20280,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20224,c_9020,c_255]) ).
tcf(c_20285,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk8,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20223,c_255,c_6482]) ).
tcf(c_20290,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk7,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20222,c_255,c_6483]) ).
tcf(c_20295,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk4,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20221,c_255,c_6486]) ).
tcf(c_20300,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20220,c_9020,c_255]) ).
tcf(c_20305,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk8,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20195,c_255,c_6482]) ).
tcf(c_20310,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk7,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20194,c_255,c_6483]) ).
tcf(c_20315,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk4,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20193,c_255,c_6486]) ).
tcf(c_20326,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_15,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20191,c_9488,c_9527]) ).
tcf(c_20331,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20190,c_9489,c_6483]) ).
tcf(c_20339,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20234,c_6482,c_297]) ).
tcf(c_20344,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf51(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20216,c_255,c_291]) ).
tcf(c_20349,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf52(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20215,c_255,c_290]) ).
tcf(c_20354,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf53(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20214,c_255,c_289]) ).
tcf(c_20359,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf56(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20213,c_255,c_286]) ).
tcf(c_20364,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf57(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20212,c_255,c_285]) ).
tcf(c_20369,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf58(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20211,c_255,c_284]) ).
tcf(c_20374,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf61(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20210,c_255,c_281]) ).
tcf(c_20379,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf62(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20209,c_255,c_280]) ).
tcf(c_20384,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf63(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20208,c_255,c_279]) ).
tcf(c_20389,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf66(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20207,c_255,c_276]) ).
tcf(c_20394,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf67(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20206,c_255,c_275]) ).
tcf(c_20399,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf68(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20205,c_255,c_274]) ).
tcf(c_20404,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf71(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20204,c_255,c_271]) ).
tcf(c_20409,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf72(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20203,c_255,c_270]) ).
tcf(c_20414,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf73(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20202,c_255,c_269]) ).
tcf(c_20419,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf75(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20201,c_255,c_267]) ).
tcf(c_20424,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf76(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20200,c_255,c_266]) ).
tcf(c_20429,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf77(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20199,c_255,c_265]) ).
tcf(c_20434,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf80(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20198,c_255,c_262]) ).
tcf(c_20439,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf81(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20197,c_255,c_261]) ).
tcf(c_20444,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf82(X2),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20196,c_255,c_260]) ).
tcf(c_20449,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(iPr_def_13,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20238,c_6483,c_298]) ).
tcf(c_20454,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk9,sk8),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20233,c_6482]) ).
tcf(c_20460,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk9,sk7),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20232,c_6483]) ).
tcf(c_20466,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk9,sk4),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20231,c_6486]) ).
tcf(c_20472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf46(X2,X3),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20219,c_255,c_297]) ).
tcf(c_20477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf47(X2,X3),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20218,c_255,c_296]) ).
tcf(c_20482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf48(X2,X3),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20217,c_255,c_295]) ).
tcf(c_20487,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk4,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(sk4,skaf46(sk4,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20241,c_297,c_298]) ).
tcf(c_20492,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk7,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(sk7,skaf46(sk7,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20240,c_297,c_298]) ).
tcf(c_20497,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk8,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(sk8,skaf46(sk8,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20239,c_297,c_298]) ).
tcf(c_20667,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,nil),X0)) ),
inference(superposition,[status(thm)],[c_559,c_420]) ).
tcf(c_20668,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(app(sk7,iPr_def_12),X0)) ),
inference(superposition,[status(thm)],[c_6474,c_420]) ).
tcf(c_20669,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_13,iPr_def_14),X0)) ),
inference(superposition,[status(thm)],[c_6476,c_420]) ).
tcf(c_20670,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk8)
| ~ ssList(iPr_def_15)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_15,sk8),X0)) ),
inference(superposition,[status(thm)],[c_6477,c_420]) ).
tcf(c_20671,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),nil)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(app(sk4,nil),X0)) ),
inference(superposition,[status(thm)],[c_9101,c_420]) ).
tcf(c_20672,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),nil)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(app(sk7,nil),X0)) ),
inference(superposition,[status(thm)],[c_9102,c_420]) ).
tcf(c_20673,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),nil)
| ~ ssList(nil)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(app(sk8,nil),X0)) ),
inference(superposition,[status(thm)],[c_9103,c_420]) ).
tcf(c_20674,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf82(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf82(X0))
| ~ ssList(app(app(skaf82(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9105,c_420]) ).
tcf(c_20675,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf81(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf81(X0))
| ~ ssList(app(app(skaf81(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9106,c_420]) ).
tcf(c_20676,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf80(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf80(X0))
| ~ ssList(app(app(skaf80(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9107,c_420]) ).
tcf(c_20677,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf77(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf77(X0))
| ~ ssList(app(app(skaf77(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9108,c_420]) ).
tcf(c_20678,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf76(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf76(X0))
| ~ ssList(app(app(skaf76(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9109,c_420]) ).
tcf(c_20679,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf75(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf75(X0))
| ~ ssList(app(app(skaf75(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9110,c_420]) ).
tcf(c_20680,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf73(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf73(X0))
| ~ ssList(app(app(skaf73(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9111,c_420]) ).
tcf(c_20681,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf72(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf72(X0))
| ~ ssList(app(app(skaf72(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9112,c_420]) ).
tcf(c_20682,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf71(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf71(X0))
| ~ ssList(app(app(skaf71(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9113,c_420]) ).
tcf(c_20683,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf68(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf68(X0))
| ~ ssList(app(app(skaf68(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9114,c_420]) ).
tcf(c_20684,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf67(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf67(X0))
| ~ ssList(app(app(skaf67(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9115,c_420]) ).
tcf(c_20685,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf66(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf66(X0))
| ~ ssList(app(app(skaf66(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9116,c_420]) ).
tcf(c_20686,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf63(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf63(X0))
| ~ ssList(app(app(skaf63(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9117,c_420]) ).
tcf(c_20687,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf62(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf62(X0))
| ~ ssList(app(app(skaf62(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9118,c_420]) ).
tcf(c_20688,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf61(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf61(X0))
| ~ ssList(app(app(skaf61(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9119,c_420]) ).
tcf(c_20689,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf58(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf58(X0))
| ~ ssList(app(app(skaf58(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9120,c_420]) ).
tcf(c_20690,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf57(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf57(X0))
| ~ ssList(app(app(skaf57(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9121,c_420]) ).
tcf(c_20691,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf56(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf56(X0))
| ~ ssList(app(app(skaf56(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9122,c_420]) ).
tcf(c_20692,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf53(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf53(X0))
| ~ ssList(app(app(skaf53(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9123,c_420]) ).
tcf(c_20693,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf52(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf52(X0))
| ~ ssList(app(app(skaf52(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9124,c_420]) ).
tcf(c_20694,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf51(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf51(X0))
| ~ ssList(app(app(skaf51(X0),nil),X1)) ),
inference(superposition,[status(thm)],[c_9125,c_420]) ).
tcf(c_20695,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf48(X0,X1),X2),nil)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf48(X0,X1))
| ~ ssList(app(app(skaf48(X0,X1),nil),X2)) ),
inference(superposition,[status(thm)],[c_9126,c_420]) ).
tcf(c_20696,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf47(X0,X1),X2),nil)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf47(X0,X1))
| ~ ssList(app(app(skaf47(X0,X1),nil),X2)) ),
inference(superposition,[status(thm)],[c_9127,c_420]) ).
tcf(c_20697,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf46(X0,X1),X2),nil)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf46(X0,X1))
| ~ ssList(app(app(skaf46(X0,X1),nil),X2)) ),
inference(superposition,[status(thm)],[c_9128,c_420]) ).
tcf(c_20698,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),nil)
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_16,nil),X0)) ),
inference(superposition,[status(thm)],[c_9132,c_420]) ).
tcf(c_20699,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk4)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sk4),X0)) ),
inference(superposition,[status(thm)],[c_9196,c_420]) ).
tcf(c_20700,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk7)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sk7),X0)) ),
inference(superposition,[status(thm)],[c_9197,c_420]) ).
tcf(c_20701,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk8)
| ~ ssList(nil)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sk8),X0)) ),
inference(superposition,[status(thm)],[c_9198,c_420]) ).
tcf(c_20702,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),iPr_def_16)
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,iPr_def_16),X0)) ),
inference(superposition,[status(thm)],[c_9227,c_420]) ).
tcf(c_20703,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,iPr_def_14),X0)) ),
inference(superposition,[status(thm)],[c_9514,c_420]) ).
tcf(c_20704,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),nil)
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_14,nil),X0)) ),
inference(superposition,[status(thm)],[c_9515,c_420]) ).
tcf(c_20705,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,iPr_def_12),X0)) ),
inference(superposition,[status(thm)],[c_9517,c_420]) ).
tcf(c_20706,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),nil)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_12,nil),X0)) ),
inference(superposition,[status(thm)],[c_9518,c_420]) ).
tcf(c_20707,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,iPr_def_13),X0)) ),
inference(superposition,[status(thm)],[c_9530,c_420]) ).
tcf(c_20708,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),nil)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_13,nil),X0)) ),
inference(superposition,[status(thm)],[c_9531,c_420]) ).
tcf(c_20709,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk4),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ ssList(app(app(cons(sk9,nil),sk4),X0)) ),
inference(superposition,[status(thm)],[c_12358,c_420]) ).
tcf(c_20710,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk7),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ ssList(app(app(cons(sk9,nil),sk7),X0)) ),
inference(superposition,[status(thm)],[c_12359,c_420]) ).
tcf(c_20711,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk8),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ ssList(app(app(cons(sk9,nil),sk8),X0)) ),
inference(superposition,[status(thm)],[c_12360,c_420]) ).
tcf(c_20712,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_16,sk8))
| ~ ssList(app(app(skaf46(iPr_def_16,sk8),sk8),X0)) ),
inference(superposition,[status(thm)],[c_12970,c_420]) ).
tcf(c_20713,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,sk4))
| ~ ssList(app(app(skaf46(sk4,sk4),sk4),X0)) ),
inference(superposition,[status(thm)],[c_12959,c_420]) ).
tcf(c_20714,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(sk7,sk7))
| ~ ssList(app(app(skaf46(sk7,sk7),sk7),X0)) ),
inference(superposition,[status(thm)],[c_12958,c_420]) ).
tcf(c_20715,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(sk8,sk8))
| ~ ssList(app(app(skaf46(sk8,sk8),sk8),X0)) ),
inference(superposition,[status(thm)],[c_12957,c_420]) ).
tcf(c_20716,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),skaf45(iPr_def_13,sk7))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_13,sk7))
| ~ ssList(app(app(sk7,skaf45(iPr_def_13,sk7)),X0)) ),
inference(superposition,[status(thm)],[c_13166,c_420]) ).
tcf(c_20717,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),skaf45(sk8,skaf46(sk8,sk8)))
| ~ ssList(X0)
| ~ ssList(skaf46(sk8,sk8))
| ~ ssList(skaf45(sk8,skaf46(sk8,sk8)))
| ~ ssList(app(app(skaf46(sk8,sk8),skaf45(sk8,skaf46(sk8,sk8))),X0)) ),
inference(superposition,[status(thm)],[c_13622,c_420]) ).
tcf(c_20718,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),skaf45(sk7,skaf46(sk7,sk7)))
| ~ ssList(X0)
| ~ ssList(skaf46(sk7,sk7))
| ~ ssList(skaf45(sk7,skaf46(sk7,sk7)))
| ~ ssList(app(app(skaf46(sk7,sk7),skaf45(sk7,skaf46(sk7,sk7))),X0)) ),
inference(superposition,[status(thm)],[c_13643,c_420]) ).
tcf(c_20719,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),skaf45(sk4,skaf46(sk4,sk4)))
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,sk4))
| ~ ssList(skaf45(sk4,skaf46(sk4,sk4)))
| ~ ssList(app(app(skaf46(sk4,sk4),skaf45(sk4,skaf46(sk4,sk4))),X0)) ),
inference(superposition,[status(thm)],[c_13704,c_420]) ).
tcf(c_20720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(X0,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X2),X3))
| ~ segmentP(X0,app(app(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_420,c_399]) ).
tcf(c_20721,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf47(app(app(X0,X1),X2),X1),X1),skaf48(X1,app(app(X0,X1),X2))) = app(app(X0,X1),X2) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_420,c_415]) ).
tcf(c_20722,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,X0),X2) = X0 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,app(app(X1,X0),X2)) ),
inference(superposition,[status(thm)],[c_420,c_374]) ).
tcf(c_20723,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(nil,X0)) ),
inference(light_normalisation,[status(thm)],[c_20667,c_559]) ).
tcf(c_20724,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(nil,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20723,c_255]) ).
tcf(c_20728,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),nil)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_20708,c_9531]) ).
tcf(c_20729,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20728,c_9527,c_255]) ).
tcf(c_20733,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_20707,c_9530]) ).
tcf(c_20734,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_13)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20733,c_9527,c_255]) ).
tcf(c_20738,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),nil)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(light_normalisation,[status(thm)],[c_20706,c_9518]) ).
tcf(c_20739,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20738,c_9489,c_255]) ).
tcf(c_20743,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(light_normalisation,[status(thm)],[c_20705,c_9517]) ).
tcf(c_20744,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_12)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20743,c_9489,c_255]) ).
tcf(c_20748,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),nil)
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_14,X0)) ),
inference(light_normalisation,[status(thm)],[c_20704,c_9515]) ).
tcf(c_20749,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20748,c_9488,c_255]) ).
tcf(c_20753,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_14,X0)) ),
inference(light_normalisation,[status(thm)],[c_20703,c_9514]) ).
tcf(c_20754,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),iPr_def_14)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20753,c_9488,c_255]) ).
tcf(c_20758,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),iPr_def_16)
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(light_normalisation,[status(thm)],[c_20702,c_9227]) ).
tcf(c_20759,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),iPr_def_16)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20758,c_9020,c_255]) ).
tcf(c_20763,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk8)
| ~ ssList(nil)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0)) ),
inference(light_normalisation,[status(thm)],[c_20701,c_9198]) ).
tcf(c_20764,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20763,c_255,c_6482]) ).
tcf(c_20768,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk7)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0)) ),
inference(light_normalisation,[status(thm)],[c_20700,c_9197]) ).
tcf(c_20769,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20768,c_255,c_6483]) ).
tcf(c_20773,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk4)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(light_normalisation,[status(thm)],[c_20699,c_9196]) ).
tcf(c_20774,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20773,c_255,c_6486]) ).
tcf(c_20778,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),nil)
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(light_normalisation,[status(thm)],[c_20698,c_9132]) ).
tcf(c_20779,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20778,c_9020,c_255]) ).
tcf(c_20783,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),nil)
| ~ ssList(nil)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0)) ),
inference(light_normalisation,[status(thm)],[c_20673,c_9103]) ).
tcf(c_20784,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20783,c_255,c_6482]) ).
tcf(c_20788,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),nil)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0)) ),
inference(light_normalisation,[status(thm)],[c_20672,c_9102]) ).
tcf(c_20789,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20788,c_255,c_6483]) ).
tcf(c_20793,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),nil)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(light_normalisation,[status(thm)],[c_20671,c_9101]) ).
tcf(c_20794,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20793,c_255,c_6486]) ).
tcf(c_20798,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk8)
| ~ ssList(iPr_def_15)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(light_normalisation,[status(thm)],[c_20670,c_6477]) ).
tcf(c_20804,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0)) ),
inference(light_normalisation,[status(thm)],[c_20669,c_6476]) ).
tcf(c_20805,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),iPr_def_14)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20804,c_9488,c_9527]) ).
tcf(c_20809,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_20668,c_6474]) ).
tcf(c_20810,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_12)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20809,c_9489,c_6483]) ).
tcf(c_20814,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf51(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf51(X0))
| ~ ssList(app(skaf51(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20694,c_9125]) ).
tcf(c_20815,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf51(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf51(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20814,c_255,c_291]) ).
tcf(c_20819,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf52(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf52(X0))
| ~ ssList(app(skaf52(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20693,c_9124]) ).
tcf(c_20820,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf52(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf52(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20819,c_255,c_290]) ).
tcf(c_20824,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf53(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf53(X0))
| ~ ssList(app(skaf53(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20692,c_9123]) ).
tcf(c_20825,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf53(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf53(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20824,c_255,c_289]) ).
tcf(c_20829,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf56(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf56(X0))
| ~ ssList(app(skaf56(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20691,c_9122]) ).
tcf(c_20830,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf56(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf56(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20829,c_255,c_286]) ).
tcf(c_20834,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf57(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf57(X0))
| ~ ssList(app(skaf57(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20690,c_9121]) ).
tcf(c_20835,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf57(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf57(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20834,c_255,c_285]) ).
tcf(c_20839,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf58(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf58(X0))
| ~ ssList(app(skaf58(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20689,c_9120]) ).
tcf(c_20840,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf58(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf58(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20839,c_255,c_284]) ).
tcf(c_20844,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf61(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf61(X0))
| ~ ssList(app(skaf61(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20688,c_9119]) ).
tcf(c_20845,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf61(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf61(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20844,c_255,c_281]) ).
tcf(c_20849,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf62(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf62(X0))
| ~ ssList(app(skaf62(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20687,c_9118]) ).
tcf(c_20850,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf62(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf62(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20849,c_255,c_280]) ).
tcf(c_20854,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf63(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf63(X0))
| ~ ssList(app(skaf63(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20686,c_9117]) ).
tcf(c_20855,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf63(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf63(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20854,c_255,c_279]) ).
tcf(c_20859,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf66(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf66(X0))
| ~ ssList(app(skaf66(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20685,c_9116]) ).
tcf(c_20860,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf66(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf66(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20859,c_255,c_276]) ).
tcf(c_20864,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf67(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf67(X0))
| ~ ssList(app(skaf67(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20684,c_9115]) ).
tcf(c_20865,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf67(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf67(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20864,c_255,c_275]) ).
tcf(c_20869,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf68(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf68(X0))
| ~ ssList(app(skaf68(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20683,c_9114]) ).
tcf(c_20870,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf68(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf68(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20869,c_255,c_274]) ).
tcf(c_20874,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf71(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf71(X0))
| ~ ssList(app(skaf71(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20682,c_9113]) ).
tcf(c_20875,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf71(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf71(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20874,c_255,c_271]) ).
tcf(c_20879,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf72(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf72(X0))
| ~ ssList(app(skaf72(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20681,c_9112]) ).
tcf(c_20880,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf72(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf72(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20879,c_255,c_270]) ).
tcf(c_20884,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf73(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf73(X0))
| ~ ssList(app(skaf73(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20680,c_9111]) ).
tcf(c_20885,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf73(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf73(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20884,c_255,c_269]) ).
tcf(c_20889,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf75(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf75(X0))
| ~ ssList(app(skaf75(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20679,c_9110]) ).
tcf(c_20890,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf75(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf75(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20889,c_255,c_267]) ).
tcf(c_20894,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf76(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf76(X0))
| ~ ssList(app(skaf76(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20678,c_9109]) ).
tcf(c_20895,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf76(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf76(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20894,c_255,c_266]) ).
tcf(c_20899,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf77(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf77(X0))
| ~ ssList(app(skaf77(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20677,c_9108]) ).
tcf(c_20900,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf77(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf77(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20899,c_255,c_265]) ).
tcf(c_20904,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf80(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf80(X0))
| ~ ssList(app(skaf80(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20676,c_9107]) ).
tcf(c_20905,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf80(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf80(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20904,c_255,c_262]) ).
tcf(c_20909,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf81(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf81(X0))
| ~ ssList(app(skaf81(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20675,c_9106]) ).
tcf(c_20910,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf81(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf81(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20909,c_255,c_261]) ).
tcf(c_20914,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf82(X0),X1),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf82(X0))
| ~ ssList(app(skaf82(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_20674,c_9105]) ).
tcf(c_20915,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf82(X0),X1),nil)
| ~ ssList(X1)
| ~ ssList(app(skaf82(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20914,c_255,c_260]) ).
tcf(c_20919,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(sk8,sk8))
| ~ ssList(app(sk8,X0)) ),
inference(light_normalisation,[status(thm)],[c_20715,c_12957]) ).
tcf(c_20921,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(sk7,sk7))
| ~ ssList(app(sk7,X0)) ),
inference(light_normalisation,[status(thm)],[c_20714,c_12958]) ).
tcf(c_20923,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,sk4))
| ~ ssList(app(sk4,X0)) ),
inference(light_normalisation,[status(thm)],[c_20713,c_12959]) ).
tcf(c_20925,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_16,sk8))
| ~ ssList(app(iPr_def_16,X0)) ),
inference(light_normalisation,[status(thm)],[c_20712,c_12970]) ).
tcf(c_20926,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20925,c_6482,c_297]) ).
tcf(c_20930,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),skaf45(iPr_def_13,sk7))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_13,sk7))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_20716,c_13166]) ).
tcf(c_20931,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),skaf45(iPr_def_13,sk7))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20930,c_6483,c_298]) ).
tcf(c_20935,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk8),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ ssList(app(cons(sk9,sk8),X0)) ),
inference(light_normalisation,[status(thm)],[c_20711,c_12360]) ).
tcf(c_20936,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk8),X0),sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ ssList(app(cons(sk9,sk8),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20935,c_6482]) ).
tcf(c_20941,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk7),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ ssList(app(cons(sk9,sk7),X0)) ),
inference(light_normalisation,[status(thm)],[c_20710,c_12359]) ).
tcf(c_20942,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk7),X0),sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ ssList(app(cons(sk9,sk7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20941,c_6483]) ).
tcf(c_20947,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk4),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ ssList(app(cons(sk9,sk4),X0)) ),
inference(light_normalisation,[status(thm)],[c_20709,c_12358]) ).
tcf(c_20948,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk4),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ ssList(app(cons(sk9,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20947,c_6486]) ).
tcf(c_20953,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf46(X0,X1),X2),nil)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf46(X0,X1))
| ~ ssList(app(skaf46(X0,X1),X2)) ),
inference(light_normalisation,[status(thm)],[c_20697,c_9128]) ).
tcf(c_20954,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf46(X0,X1),X2),nil)
| ~ ssList(X2)
| ~ ssList(app(skaf46(X0,X1),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20953,c_255,c_297]) ).
tcf(c_20958,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf47(X0,X1),X2),nil)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf47(X0,X1))
| ~ ssList(app(skaf47(X0,X1),X2)) ),
inference(light_normalisation,[status(thm)],[c_20696,c_9127]) ).
tcf(c_20959,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf47(X0,X1),X2),nil)
| ~ ssList(X2)
| ~ ssList(app(skaf47(X0,X1),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20958,c_255,c_296]) ).
tcf(c_20963,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf48(X0,X1),X2),nil)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf48(X0,X1))
| ~ ssList(app(skaf48(X0,X1),X2)) ),
inference(light_normalisation,[status(thm)],[c_20695,c_9126]) ).
tcf(c_20964,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf48(X0,X1),X2),nil)
| ~ ssList(X2)
| ~ ssList(app(skaf48(X0,X1),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20963,c_255,c_295]) ).
tcf(c_20981,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),skaf45(sk4,skaf46(sk4,sk4)))
| ~ ssList(X0)
| ~ ssList(skaf46(sk4,sk4))
| ~ ssList(app(sk4,X0))
| ~ ssList(skaf45(sk4,skaf46(sk4,sk4))) ),
inference(light_normalisation,[status(thm)],[c_20719,c_13704]) ).
tcf(c_20982,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),skaf45(sk4,skaf46(sk4,sk4)))
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20981,c_297,c_298]) ).
tcf(c_20986,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),skaf45(sk7,skaf46(sk7,sk7)))
| ~ ssList(X0)
| ~ ssList(skaf46(sk7,sk7))
| ~ ssList(app(sk7,X0))
| ~ ssList(skaf45(sk7,skaf46(sk7,sk7))) ),
inference(light_normalisation,[status(thm)],[c_20718,c_13643]) ).
tcf(c_20987,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),skaf45(sk7,skaf46(sk7,sk7)))
| ~ ssList(X0)
| ~ ssList(app(sk7,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20986,c_297,c_298]) ).
tcf(c_20991,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),skaf45(sk8,skaf46(sk8,sk8)))
| ~ ssList(X0)
| ~ ssList(skaf46(sk8,sk8))
| ~ ssList(app(sk8,X0))
| ~ ssList(skaf45(sk8,skaf46(sk8,sk8))) ),
inference(light_normalisation,[status(thm)],[c_20717,c_13622]) ).
tcf(c_20992,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),skaf45(sk8,skaf46(sk8,sk8)))
| ~ ssList(X0)
| ~ ssList(app(sk8,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20991,c_297,c_298]) ).
tcf(c_21163,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_308,c_421]) ).
tcf(c_21167,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_6473,c_421]) ).
tcf(c_21168,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_6475,c_421]) ).
tcf(c_21169,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ frontsegP(sk4,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_10766,c_421]) ).
tcf(c_21170,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ frontsegP(sk7,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_10767,c_421]) ).
tcf(c_21171,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ frontsegP(sk8,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_10768,c_421]) ).
tcf(c_21172,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf82(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ frontsegP(sk4,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_10982,c_421]) ).
tcf(c_21173,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf82(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ frontsegP(sk7,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_10983,c_421]) ).
tcf(c_21174,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf82(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ frontsegP(sk8,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_10984,c_421]) ).
tcf(c_21175,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,nil)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(superposition,[status(thm)],[c_6473,c_421]) ).
tcf(c_21176,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,nil)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_14) ),
inference(superposition,[status(thm)],[c_6475,c_421]) ).
tcf(c_21177,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(sk4))
| ( sk4 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ frontsegP(cons(X0,X1),sk4) ),
inference(superposition,[status(thm)],[c_10766,c_421]) ).
tcf(c_21178,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(sk7))
| ( sk7 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ frontsegP(cons(X0,X1),sk7) ),
inference(superposition,[status(thm)],[c_10767,c_421]) ).
tcf(c_21179,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(sk8))
| ( sk8 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ frontsegP(cons(X0,X1),sk8) ),
inference(superposition,[status(thm)],[c_10768,c_421]) ).
tcf(c_21180,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,skaf82(sk4))
| ( sk4 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ frontsegP(cons(X0,X1),sk4) ),
inference(superposition,[status(thm)],[c_10982,c_421]) ).
tcf(c_21181,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,skaf82(sk7))
| ( sk7 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ frontsegP(cons(X0,X1),sk7) ),
inference(superposition,[status(thm)],[c_10983,c_421]) ).
tcf(c_21182,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,skaf82(sk8))
| ( sk8 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ frontsegP(cons(X0,X1),sk8) ),
inference(superposition,[status(thm)],[c_10984,c_421]) ).
tcf(c_21187,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21176,c_6484,c_255]) ).
tcf(c_21192,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21175,c_6485,c_255]) ).
tcf(c_21197,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21168,c_6484,c_255]) ).
tcf(c_21202,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21167,c_6485,c_255]) ).
tcf(c_21207,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,skaf82(sk8))
| ( sk8 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21182,c_259,c_260]) ).
tcf(c_21213,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,skaf82(sk7))
| ( sk7 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21181,c_259,c_260]) ).
tcf(c_21219,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,skaf82(sk4))
| ( sk4 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21180,c_259,c_260]) ).
tcf(c_21246,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf82(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(sk8,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21174,c_259,c_260]) ).
tcf(c_21252,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf82(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(sk7,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21173,c_259,c_260]) ).
tcf(c_21258,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf82(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(sk4,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21172,c_259,c_260]) ).
tcf(c_21329,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_12),sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sk5,nil))) ),
inference(superposition,[status(thm)],[c_6473,c_422]) ).
tcf(c_21330,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_14),sk6)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sk6,nil))) ),
inference(superposition,[status(thm)],[c_6475,c_422]) ).
tcf(c_21331,plain,
! [X0: $i] :
( memberP(app(X0,sk4),hd(sk4))
| ( sk4 = nil )
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(app(X0,cons(hd(sk4),tl(sk4)))) ),
inference(superposition,[status(thm)],[c_10766,c_422]) ).
tcf(c_21332,plain,
! [X0: $i] :
( memberP(app(X0,sk7),hd(sk7))
| ( sk7 = nil )
| ~ ssList(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ ssList(app(X0,cons(hd(sk7),tl(sk7)))) ),
inference(superposition,[status(thm)],[c_10767,c_422]) ).
tcf(c_21333,plain,
! [X0: $i] :
( memberP(app(X0,sk8),hd(sk8))
| ( sk8 = nil )
| ~ ssList(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ ssList(app(X0,cons(hd(sk8),tl(sk8)))) ),
inference(superposition,[status(thm)],[c_10768,c_422]) ).
tcf(c_21334,plain,
! [X0: $i] :
( memberP(app(X0,sk4),skaf83(sk4))
| ( sk4 = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ ssList(app(X0,cons(skaf83(sk4),skaf82(sk4)))) ),
inference(superposition,[status(thm)],[c_10982,c_422]) ).
tcf(c_21335,plain,
! [X0: $i] :
( memberP(app(X0,sk7),skaf83(sk7))
| ( sk7 = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ ssList(app(X0,cons(skaf83(sk7),skaf82(sk7)))) ),
inference(superposition,[status(thm)],[c_10983,c_422]) ).
tcf(c_21336,plain,
! [X0: $i] :
( memberP(app(X0,sk8),skaf83(sk8))
| ( sk8 = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ ssList(app(X0,cons(skaf83(sk8),skaf82(sk8)))) ),
inference(superposition,[status(thm)],[c_10984,c_422]) ).
tcf(c_21337,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(skaf42(app(X0,cons(X1,X2)),X1),cons(X1,skaf43(X1,app(X0,cons(X1,X2))))) = app(X0,cons(X1,X2)) )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_422,c_416]) ).
tcf(c_21338,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X0,X1)
| memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(cons(X1,X2))
| ~ ssList(app(X0,cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_422,c_405]) ).
tcf(c_21339,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_14),sk6)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_21330,c_6475]) ).
tcf(c_21340,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_14),sk6)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21339,c_6484,c_255]) ).
tcf(c_21344,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_12),sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_21329,c_6473]) ).
tcf(c_21345,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_12),sk5)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21344,c_6485,c_255]) ).
tcf(c_21356,plain,
! [X0: $i] :
( memberP(app(X0,sk8),skaf83(sk8))
| ( sk8 = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(sk8),skaf82(sk8)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21336,c_259,c_260]) ).
tcf(c_21361,plain,
! [X0: $i] :
( memberP(app(X0,sk7),skaf83(sk7))
| ( sk7 = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(sk7),skaf82(sk7)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21335,c_259,c_260]) ).
tcf(c_21366,plain,
! [X0: $i] :
( memberP(app(X0,sk4),skaf83(sk4))
| ( sk4 = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(sk4),skaf82(sk4)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21334,c_259,c_260]) ).
tcf(c_21427,plain,
! [X0: $i] :
( ( app(skaf61(X0),skaf45(skaf61(X0),skaf61(X0))) = skaf61(X0) )
| ~ ssList(skaf61(X0)) ),
inference(superposition,[status(thm)],[c_12909,c_379]) ).
tcf(c_21429,plain,
! [X0: $i] : app(skaf61(X0),skaf45(skaf61(X0),skaf61(X0))) = skaf61(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_21427,c_281]) ).
tcf(c_21432,plain,
! [X0: $i] :
( ( app(skaf58(X0),skaf45(skaf58(X0),skaf58(X0))) = skaf58(X0) )
| ~ ssList(skaf58(X0)) ),
inference(superposition,[status(thm)],[c_13719,c_379]) ).
tcf(c_21434,plain,
! [X0: $i] : app(skaf58(X0),skaf45(skaf58(X0),skaf58(X0))) = skaf58(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_21432,c_284]) ).
tcf(c_21437,plain,
! [X0: $i] :
( ( app(skaf57(X0),skaf45(skaf57(X0),skaf57(X0))) = skaf57(X0) )
| ~ ssList(skaf57(X0)) ),
inference(superposition,[status(thm)],[c_14310,c_379]) ).
tcf(c_21439,plain,
! [X0: $i] : app(skaf57(X0),skaf45(skaf57(X0),skaf57(X0))) = skaf57(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_21437,c_285]) ).
tcf(c_21442,plain,
! [X0: $i] :
( ( app(skaf56(X0),skaf45(skaf56(X0),skaf56(X0))) = skaf56(X0) )
| ~ ssList(skaf56(X0)) ),
inference(superposition,[status(thm)],[c_15056,c_379]) ).
tcf(c_21444,plain,
! [X0: $i] : app(skaf56(X0),skaf45(skaf56(X0),skaf56(X0))) = skaf56(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_21442,c_286]) ).
tcf(c_21448,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(light_normalisation,[status(thm)],[c_14184,c_18294]) ).
tcf(c_21465,plain,
frontsegP(cons(sk9,sk8),cons(sk9,nil)),
inference(global_subsumption_just,[status(thm)],[c_15011,c_443,c_255,c_11180,c_15011]) ).
tcf(c_21467,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk9,nil))
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ ssList(cons(sk9,sk8))
| ~ frontsegP(X0,cons(sk9,sk8)) ),
inference(superposition,[status(thm)],[c_21465,c_401]) ).
tcf(c_21468,plain,
( ( app(cons(sk9,nil),skaf45(cons(sk9,sk8),cons(sk9,nil))) = cons(sk9,sk8) )
| ~ ssList(cons(sk9,nil))
| ~ ssList(cons(sk9,sk8)) ),
inference(superposition,[status(thm)],[c_21465,c_379]) ).
tcf(c_21469,plain,
( ( cons(sk9,sk8) = cons(sk9,nil) )
| ~ ssList(cons(sk9,nil))
| ~ ssList(cons(sk9,sk8))
| ~ frontsegP(cons(sk9,nil),cons(sk9,sk8)) ),
inference(superposition,[status(thm)],[c_21465,c_376]) ).
tcf(c_21471,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk9,nil))
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ~ frontsegP(X0,cons(sk9,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21467,c_15373]) ).
tcf(c_21476,plain,
( ( cons(sk9,sk8) = cons(sk9,nil) )
| ~ ssList(cons(sk9,nil))
| ~ frontsegP(cons(sk9,nil),cons(sk9,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21469,c_15373]) ).
tcf(c_21480,plain,
( ( app(cons(sk9,nil),skaf45(cons(sk9,sk8),cons(sk9,nil))) = cons(sk9,sk8) )
| ~ ssList(cons(sk9,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21468,c_15373]) ).
tcf(c_21492,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf45(X0,X1),X2),nil)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf45(X0,X1))
| ~ ssList(app(app(skaf45(X0,X1),nil),X2)) ),
inference(superposition,[status(thm)],[c_9129,c_420]) ).
tcf(c_21493,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf45(X0,X1) = X2 )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf45(X0,X1))
| ( skaf45(X0,X1) != app(X2,nil) ) ),
inference(superposition,[status(thm)],[c_9129,c_398]) ).
tcf(c_21498,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf45(X0,X1),skaf45(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf45(X0,X1)) ),
inference(superposition,[status(thm)],[c_9129,c_808]) ).
tcf(c_21499,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf45(X0,X1),nil)
| ~ ssList(nil)
| ~ ssList(skaf45(X0,X1)) ),
inference(superposition,[status(thm)],[c_9129,c_807]) ).
tcf(c_21500,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf45(X0,X1),X2)
| ~ ssList(nil)
| ~ ssItem(X2)
| ~ memberP(nil,X2)
| ~ ssList(skaf45(X0,X1)) ),
inference(superposition,[status(thm)],[c_9129,c_388]) ).
tcf(c_21501,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(skaf45(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf45(X0,X1)) ),
inference(superposition,[status(thm)],[c_9129,c_383]) ).
tcf(c_21502,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf45(X0,X1))
| ( app(skaf45(X0,X1),X2) != skaf45(X0,X1) ) ),
inference(superposition,[status(thm)],[c_9129,c_397]) ).
tcf(c_21505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf45(X0,X1),X3),X2)
| ~ ssList(nil)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(nil,X2)
| ~ ssList(skaf45(X0,X1)) ),
inference(superposition,[status(thm)],[c_9129,c_419]) ).
tcf(c_21506,plain,
! [X0: $i,X1: $i] : rearsegP(skaf45(X0,X1),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_21499,c_255,c_298]) ).
tcf(c_21507,plain,
! [X0: $i,X1: $i] : frontsegP(skaf45(X0,X1),skaf45(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_21498,c_255,c_298]) ).
tcf(c_21508,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(skaf45(X1,X2),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21501,c_255,c_298]) ).
tcf(c_21513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf45(X2,X3),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21505,c_255,c_298]) ).
tcf(c_21518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ~ ssList(X2)
| ( app(skaf45(X0,X1),X2) != skaf45(X0,X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21502,c_255,c_298]) ).
tcf(c_21522,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf45(X0,X1) = X2 )
| ~ ssList(X2)
| ( skaf45(X0,X1) != app(X2,nil) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21493,c_255,c_298]) ).
tcf(c_21526,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf45(X0,X1),X2),nil)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf45(X0,X1))
| ~ ssList(app(skaf45(X0,X1),X2)) ),
inference(light_normalisation,[status(thm)],[c_21492,c_9129]) ).
tcf(c_21527,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf45(X0,X1),X2),nil)
| ~ ssList(X2)
| ~ ssList(app(skaf45(X0,X1),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21526,c_255,c_298]) ).
tcf(c_21564,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk5 )
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_6473,c_423]) ).
tcf(c_21565,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_6475,c_423]) ).
tcf(c_21566,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( hd(sk4) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ frontsegP(sk4,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_10766,c_423]) ).
tcf(c_21567,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( hd(sk7) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ frontsegP(sk7,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_10767,c_423]) ).
tcf(c_21568,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( hd(sk8) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ frontsegP(sk8,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_10768,c_423]) ).
tcf(c_21569,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( skaf83(sk4) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ frontsegP(sk4,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_10982,c_423]) ).
tcf(c_21570,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( skaf83(sk7) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ frontsegP(sk7,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_10983,c_423]) ).
tcf(c_21571,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( skaf83(sk8) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ frontsegP(sk8,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_10984,c_423]) ).
tcf(c_21572,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk5 )
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(superposition,[status(thm)],[c_6473,c_423]) ).
tcf(c_21573,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_14) ),
inference(superposition,[status(thm)],[c_6475,c_423]) ).
tcf(c_21574,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( hd(sk4) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ frontsegP(cons(X0,X1),sk4) ),
inference(superposition,[status(thm)],[c_10766,c_423]) ).
tcf(c_21575,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( hd(sk7) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ frontsegP(cons(X0,X1),sk7) ),
inference(superposition,[status(thm)],[c_10767,c_423]) ).
tcf(c_21576,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( hd(sk8) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ frontsegP(cons(X0,X1),sk8) ),
inference(superposition,[status(thm)],[c_10768,c_423]) ).
tcf(c_21577,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( skaf83(sk4) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ frontsegP(cons(X0,X1),sk4) ),
inference(superposition,[status(thm)],[c_10982,c_423]) ).
tcf(c_21578,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( skaf83(sk7) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ frontsegP(cons(X0,X1),sk7) ),
inference(superposition,[status(thm)],[c_10983,c_423]) ).
tcf(c_21579,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( skaf83(sk8) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ frontsegP(cons(X0,X1),sk8) ),
inference(superposition,[status(thm)],[c_10984,c_423]) ).
tcf(c_21580,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21573,c_6484,c_255]) ).
tcf(c_21585,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk5 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21572,c_6485,c_255]) ).
tcf(c_21590,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21565,c_6484,c_255]) ).
tcf(c_21595,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk5 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21564,c_6485,c_255]) ).
tcf(c_21600,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( skaf83(sk8) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21579,c_259,c_260]) ).
tcf(c_21606,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( skaf83(sk7) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21578,c_259,c_260]) ).
tcf(c_21612,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( skaf83(sk4) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21577,c_259,c_260]) ).
tcf(c_21639,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( skaf83(sk8) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(sk8,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21571,c_259,c_260]) ).
tcf(c_21645,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( skaf83(sk7) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(sk7,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21570,c_259,c_260]) ).
tcf(c_21651,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( skaf83(sk4) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(sk4,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21569,c_259,c_260]) ).
tcf(c_21736,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk5 )
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6473,c_417]) ).
tcf(c_21737,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6475,c_417]) ).
tcf(c_21738,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( hd(sk4) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ( cons(X0,X1) != sk4 ) ),
inference(superposition,[status(thm)],[c_10766,c_417]) ).
tcf(c_21739,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( hd(sk7) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ( cons(X0,X1) != sk7 ) ),
inference(superposition,[status(thm)],[c_10767,c_417]) ).
tcf(c_21740,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( hd(sk8) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ( cons(X0,X1) != sk8 ) ),
inference(superposition,[status(thm)],[c_10768,c_417]) ).
tcf(c_21741,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( skaf83(sk4) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ( cons(X0,X1) != sk4 ) ),
inference(superposition,[status(thm)],[c_10982,c_417]) ).
tcf(c_21742,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( skaf83(sk7) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ( cons(X0,X1) != sk7 ) ),
inference(superposition,[status(thm)],[c_10983,c_417]) ).
tcf(c_21743,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( skaf83(sk8) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ( cons(X0,X1) != sk8 ) ),
inference(superposition,[status(thm)],[c_10984,c_417]) ).
tcf(c_21745,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21737,c_6484,c_255]) ).
tcf(c_21750,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk5 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21736,c_6485,c_255]) ).
tcf(c_21755,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( skaf83(sk8) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21743,c_259,c_260]) ).
tcf(c_21761,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( skaf83(sk7) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21742,c_259,c_260]) ).
tcf(c_21767,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( skaf83(sk4) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21741,c_259,c_260]) ).
tcf(c_21833,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6473,c_418]) ).
tcf(c_21834,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6475,c_418]) ).
tcf(c_21835,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( tl(sk4) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ( cons(X0,X1) != sk4 ) ),
inference(superposition,[status(thm)],[c_10766,c_418]) ).
tcf(c_21836,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( tl(sk7) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ( cons(X0,X1) != sk7 ) ),
inference(superposition,[status(thm)],[c_10767,c_418]) ).
tcf(c_21837,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( tl(sk8) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ( cons(X0,X1) != sk8 ) ),
inference(superposition,[status(thm)],[c_10768,c_418]) ).
tcf(c_21838,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( skaf82(sk4) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ( cons(X0,X1) != sk4 ) ),
inference(superposition,[status(thm)],[c_10982,c_418]) ).
tcf(c_21839,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( skaf82(sk7) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ( cons(X0,X1) != sk7 ) ),
inference(superposition,[status(thm)],[c_10983,c_418]) ).
tcf(c_21840,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( skaf82(sk8) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ( cons(X0,X1) != sk8 ) ),
inference(superposition,[status(thm)],[c_10984,c_418]) ).
tcf(c_21842,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21834,c_6484,c_255]) ).
tcf(c_21847,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21833,c_6485,c_255]) ).
tcf(c_21852,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( skaf82(sk8) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21840,c_259,c_260]) ).
tcf(c_21858,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( skaf82(sk7) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21839,c_259,c_260]) ).
tcf(c_21864,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( skaf82(sk4) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21838,c_259,c_260]) ).
tcf(c_21933,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,sk4) = nil )
| ( cons(sk5,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ( tl(X0) != sk4 )
| ( hd(cons(sk5,sk4)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10181,c_424]) ).
tcf(c_21934,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,sk7) = nil )
| ( cons(sk5,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ( tl(X0) != sk7 )
| ( hd(cons(sk5,sk7)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10182,c_424]) ).
tcf(c_21935,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,sk8) = nil )
| ( cons(sk5,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ( tl(X0) != sk8 )
| ( hd(cons(sk5,sk8)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10183,c_424]) ).
tcf(c_21936,plain,
! [X0: $i] :
( ( nil = iPr_def_12 )
| ( X0 = iPr_def_12 )
| ( X0 = nil )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ( hd(X0) != hd(iPr_def_12) )
| ( tl(X0) != nil ) ),
inference(superposition,[status(thm)],[c_10219,c_424]) ).
tcf(c_21937,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,sk4) = nil )
| ( cons(sk6,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ( tl(X0) != sk4 )
| ( hd(cons(sk6,sk4)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10308,c_424]) ).
tcf(c_21938,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,sk7) = nil )
| ( cons(sk6,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ( tl(X0) != sk7 )
| ( hd(cons(sk6,sk7)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10309,c_424]) ).
tcf(c_21939,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,sk8) = nil )
| ( cons(sk6,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ( tl(X0) != sk8 )
| ( hd(cons(sk6,sk8)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10310,c_424]) ).
tcf(c_21940,plain,
! [X0: $i] :
( ( nil = iPr_def_14 )
| ( X0 = iPr_def_14 )
| ( X0 = nil )
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ( hd(X0) != hd(iPr_def_14) )
| ( tl(X0) != nil ) ),
inference(superposition,[status(thm)],[c_10346,c_424]) ).
tcf(c_21941,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,sk4) = nil )
| ( cons(sk9,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk4))
| ( tl(X0) != sk4 )
| ( hd(cons(sk9,sk4)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10528,c_424]) ).
tcf(c_21942,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,sk7) = nil )
| ( cons(sk9,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk7))
| ( tl(X0) != sk7 )
| ( hd(cons(sk9,sk7)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10529,c_424]) ).
tcf(c_21943,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,sk8) = nil )
| ( cons(sk9,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk8))
| ( tl(X0) != sk8 )
| ( hd(cons(sk9,sk8)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10530,c_424]) ).
tcf(c_21945,plain,
! [X0: $i] :
( ( nil = iPr_def_14 )
| ( X0 = iPr_def_14 )
| ( X0 = nil )
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ( hd(X0) != sk6 )
| ( tl(X0) != nil ) ),
inference(light_normalisation,[status(thm)],[c_21940,c_11259]) ).
tcf(c_21946,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ( X0 = nil )
| ~ ssList(X0)
| ( hd(X0) != sk6 )
| ( tl(X0) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21945,c_10149,c_9488]) ).
tcf(c_21952,plain,
! [X0: $i] :
( ( nil = iPr_def_12 )
| ( X0 = iPr_def_12 )
| ( X0 = nil )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ( hd(X0) != sk5 )
| ( tl(X0) != nil ) ),
inference(light_normalisation,[status(thm)],[c_21936,c_10687]) ).
tcf(c_21953,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ( X0 = nil )
| ~ ssList(X0)
| ( hd(X0) != sk5 )
| ( tl(X0) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21952,c_10150,c_9489]) ).
tcf(c_21959,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,sk8) = nil )
| ( cons(sk9,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk8))
| ( hd(X0) != sk9 )
| ( tl(X0) != sk8 ) ),
inference(light_normalisation,[status(thm)],[c_21943,c_11347]) ).
tcf(c_21960,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,sk8) = nil )
| ( cons(sk9,sk8) = X0 )
| ~ ssList(X0)
| ( hd(X0) != sk9 )
| ( tl(X0) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21959,c_15373]) ).
tcf(c_21967,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,sk7) = nil )
| ( cons(sk9,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk7))
| ( hd(X0) != sk9 )
| ( tl(X0) != sk7 ) ),
inference(light_normalisation,[status(thm)],[c_21942,c_11346]) ).
tcf(c_21968,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,sk7) = nil )
| ( cons(sk9,sk7) = X0 )
| ~ ssList(X0)
| ( hd(X0) != sk9 )
| ( tl(X0) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21967,c_14920]) ).
tcf(c_21975,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,sk4) = nil )
| ( cons(sk9,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk4))
| ( hd(X0) != sk9 )
| ( tl(X0) != sk4 ) ),
inference(light_normalisation,[status(thm)],[c_21941,c_11345]) ).
tcf(c_21976,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,sk4) = nil )
| ( cons(sk9,sk4) = X0 )
| ~ ssList(X0)
| ( hd(X0) != sk9 )
| ( tl(X0) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21975,c_12535]) ).
tcf(c_21983,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,sk8) = nil )
| ( cons(sk6,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ( hd(X0) != sk6 )
| ( tl(X0) != sk8 ) ),
inference(light_normalisation,[status(thm)],[c_21939,c_11223]) ).
tcf(c_21991,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,sk7) = nil )
| ( cons(sk6,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ( hd(X0) != sk6 )
| ( tl(X0) != sk7 ) ),
inference(light_normalisation,[status(thm)],[c_21938,c_11222]) ).
tcf(c_21999,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,sk4) = nil )
| ( cons(sk6,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ( hd(X0) != sk6 )
| ( tl(X0) != sk4 ) ),
inference(light_normalisation,[status(thm)],[c_21937,c_11221]) ).
tcf(c_22007,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,sk8) = nil )
| ( cons(sk5,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ( hd(X0) != sk5 )
| ( tl(X0) != sk8 ) ),
inference(light_normalisation,[status(thm)],[c_21935,c_10651]) ).
tcf(c_22015,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,sk7) = nil )
| ( cons(sk5,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ( hd(X0) != sk5 )
| ( tl(X0) != sk7 ) ),
inference(light_normalisation,[status(thm)],[c_21934,c_10650]) ).
tcf(c_22023,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,sk4) = nil )
| ( cons(sk5,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ( hd(X0) != sk5 )
| ( tl(X0) != sk4 ) ),
inference(light_normalisation,[status(thm)],[c_21933,c_10649]) ).
tcf(c_22054,plain,
! [X0: $i] :
( ( app(skaf53(X0),skaf45(skaf53(X0),skaf53(X0))) = skaf53(X0) )
| ~ ssList(skaf53(X0)) ),
inference(superposition,[status(thm)],[c_15514,c_379]) ).
tcf(c_22056,plain,
! [X0: $i] : app(skaf53(X0),skaf45(skaf53(X0),skaf53(X0))) = skaf53(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_22054,c_289]) ).
tcf(c_22058,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk7,sk7))
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_13)
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_16156,c_401]) ).
tcf(c_22059,plain,
( ( app(skaf46(sk7,sk7),skaf45(iPr_def_13,skaf46(sk7,sk7))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_16156,c_379]) ).
tcf(c_22060,plain,
( ( skaf46(sk7,sk7) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(skaf46(sk7,sk7))
| ~ frontsegP(skaf46(sk7,sk7),iPr_def_13) ),
inference(superposition,[status(thm)],[c_16156,c_376]) ).
tcf(c_22061,plain,
( ( skaf46(sk7,sk7) = iPr_def_13 )
| ~ frontsegP(skaf46(sk7,sk7),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22060,c_9527,c_297]) ).
tcf(c_22064,plain,
app(skaf46(sk7,sk7),skaf45(iPr_def_13,skaf46(sk7,sk7))) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_22059,c_9527,c_297]) ).
tcf(c_22065,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk7,sk7))
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22058,c_9527,c_297]) ).
tcf(c_22071,plain,
! [X0: $i] :
( ( app(skaf52(X0),skaf45(skaf52(X0),skaf52(X0))) = skaf52(X0) )
| ~ ssList(skaf52(X0)) ),
inference(superposition,[status(thm)],[c_16199,c_379]) ).
tcf(c_22073,plain,
! [X0: $i] : app(skaf52(X0),skaf45(skaf52(X0),skaf52(X0))) = skaf52(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_22071,c_290]) ).
tcf(c_22075,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(X0)
| ~ rearsegP(X0,sk4) ),
inference(light_normalisation,[status(thm)],[c_15208,c_18294]) ).
tcf(c_22076,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(X0)
| ~ rearsegP(X0,sk7) ),
inference(light_normalisation,[status(thm)],[c_15212,c_17451]) ).
tcf(c_22077,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(X0)
| ~ rearsegP(X0,sk8) ),
inference(light_normalisation,[status(thm)],[c_15216,c_17445]) ).
tcf(c_22084,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk4),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk9,sk4),sk4))
| ~ ssList(app(app(skaf46(cons(sk9,sk4),sk4),sk4),X0)) ),
inference(superposition,[status(thm)],[c_15438,c_420]) ).
tcf(c_22085,plain,
! [X0: $i] :
( ( skaf46(cons(sk9,sk4),sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk9,sk4),sk4))
| ( app(X0,sk4) != cons(sk9,sk4) ) ),
inference(superposition,[status(thm)],[c_15438,c_398]) ).
tcf(c_22087,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(cons(sk9,sk4),sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(cons(sk9,sk4),X0)
| ~ ssList(skaf46(cons(sk9,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_15438,c_405]) ).
tcf(c_22088,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(skaf46(cons(sk9,sk4),sk4))
| ( cons(sk9,sk4) != nil ) ),
inference(superposition,[status(thm)],[c_15438,c_366]) ).
tcf(c_22089,plain,
( ( skaf46(cons(sk9,sk4),sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(skaf46(cons(sk9,sk4),sk4))
| ( cons(sk9,sk4) != nil ) ),
inference(superposition,[status(thm)],[c_15438,c_365]) ).
tcf(c_22090,plain,
( frontsegP(cons(sk9,sk4),skaf46(cons(sk9,sk4),sk4))
| ~ ssList(sk4)
| ~ ssList(skaf46(cons(sk9,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_15438,c_808]) ).
tcf(c_22092,plain,
! [X0: $i] :
( memberP(cons(sk9,sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(skaf46(cons(sk9,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_15438,c_388]) ).
tcf(c_22093,plain,
! [X0: $i] :
( rearsegP(cons(sk9,sk4),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(skaf46(cons(sk9,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_15438,c_383]) ).
tcf(c_22094,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk9,sk4),sk4))
| ( app(skaf46(cons(sk9,sk4),sk4),X0) != cons(sk9,sk4) ) ),
inference(superposition,[status(thm)],[c_15438,c_397]) ).
tcf(c_22095,plain,
! [X0: $i] :
( memberP(cons(sk9,sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(skaf46(cons(sk9,sk4),sk4))
| ~ memberP(skaf46(cons(sk9,sk4),sk4),X0) ),
inference(superposition,[status(thm)],[c_15438,c_387]) ).
tcf(c_22096,plain,
! [X0: $i] :
( frontsegP(cons(sk9,sk4),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk9,sk4),sk4))
| ~ frontsegP(skaf46(cons(sk9,sk4),sk4),X0) ),
inference(superposition,[status(thm)],[c_15438,c_384]) ).
tcf(c_22097,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk9,sk4),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(skaf46(cons(sk9,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_15438,c_419]) ).
tcf(c_22098,plain,
frontsegP(cons(sk9,sk4),skaf46(cons(sk9,sk4),sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_22090,c_6486,c_297]) ).
tcf(c_22099,plain,
( ( sk4 = nil )
| ( cons(sk9,sk4) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22088,c_6486,c_297]) ).
tcf(c_22102,plain,
! [X0: $i] :
( rearsegP(cons(sk9,sk4),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22093,c_6486,c_297]) ).
tcf(c_22106,plain,
! [X0: $i] :
( memberP(cons(sk9,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22092,c_6486,c_297]) ).
tcf(c_22110,plain,
( ( skaf46(cons(sk9,sk4),sk4) = nil )
| ( cons(sk9,sk4) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22089,c_6486,c_297]) ).
tcf(c_22113,plain,
! [X0: $i] :
( frontsegP(cons(sk9,sk4),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(cons(sk9,sk4),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22096,c_6486,c_297]) ).
tcf(c_22117,plain,
! [X0: $i] :
( memberP(cons(sk9,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(cons(sk9,sk4),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22095,c_6486,c_297]) ).
tcf(c_22121,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk9,sk4),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22097,c_6486,c_297]) ).
tcf(c_22126,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(cons(sk9,sk4),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk9,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22087,c_6486,c_297]) ).
tcf(c_22131,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(skaf46(cons(sk9,sk4),sk4),X0) != cons(sk9,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22094,c_6486,c_297]) ).
tcf(c_22135,plain,
! [X0: $i] :
( ( skaf46(cons(sk9,sk4),sk4) = X0 )
| ~ ssList(X0)
| ( app(X0,sk4) != cons(sk9,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22085,c_6486,c_297]) ).
tcf(c_22139,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk4),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk9,sk4),sk4))
| ~ ssList(app(cons(sk9,sk4),X0)) ),
inference(light_normalisation,[status(thm)],[c_22084,c_15438]) ).
tcf(c_22140,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk4),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk9,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22139,c_6486,c_297]) ).
tcf(c_22206,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk9,sk4),sk4))
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk4))
| ~ frontsegP(X0,cons(sk9,sk4))
| ~ ssList(skaf46(cons(sk9,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_22098,c_401]) ).
tcf(c_22207,plain,
( ( app(skaf46(cons(sk9,sk4),sk4),skaf45(cons(sk9,sk4),skaf46(cons(sk9,sk4),sk4))) = cons(sk9,sk4) )
| ~ ssList(cons(sk9,sk4))
| ~ ssList(skaf46(cons(sk9,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_22098,c_379]) ).
tcf(c_22208,plain,
( ( skaf46(cons(sk9,sk4),sk4) = cons(sk9,sk4) )
| ~ ssList(cons(sk9,sk4))
| ~ ssList(skaf46(cons(sk9,sk4),sk4))
| ~ frontsegP(skaf46(cons(sk9,sk4),sk4),cons(sk9,sk4)) ),
inference(superposition,[status(thm)],[c_22098,c_376]) ).
tcf(c_22209,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk9,sk4),sk4))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk9,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22206,c_12535,c_297]) ).
tcf(c_22213,plain,
( ( skaf46(cons(sk9,sk4),sk4) = cons(sk9,sk4) )
| ~ frontsegP(skaf46(cons(sk9,sk4),sk4),cons(sk9,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22208,c_12535,c_297]) ).
tcf(c_22216,plain,
app(skaf46(cons(sk9,sk4),sk4),skaf45(cons(sk9,sk4),skaf46(cons(sk9,sk4),sk4))) = cons(sk9,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_22207,c_12535,c_297]) ).
tcf(c_22229,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk4))
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk9,sk4)) ),
inference(superposition,[status(thm)],[c_383,c_15439]) ).
tcf(c_22230,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk9,sk4)),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk4))
| ~ ssList(app(X0,cons(sk9,sk4))) ),
inference(superposition,[status(thm)],[c_807,c_15439]) ).
tcf(c_22231,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk9,sk4)),sk4)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sk9,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22230,c_12535]) ).
tcf(c_22235,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk9,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22229,c_12535]) ).
tcf(c_22245,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf43(X0,X1),X2),nil)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf43(X0,X1))
| ~ ssList(app(app(skaf43(X0,X1),nil),X2)) ),
inference(superposition,[status(thm)],[c_9130,c_420]) ).
tcf(c_22246,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf43(X0,X1) = X2 )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf43(X0,X1))
| ( skaf43(X0,X1) != app(X2,nil) ) ),
inference(superposition,[status(thm)],[c_9130,c_398]) ).
tcf(c_22251,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf43(X0,X1),skaf43(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf43(X0,X1)) ),
inference(superposition,[status(thm)],[c_9130,c_808]) ).
tcf(c_22252,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf43(X0,X1),nil)
| ~ ssList(nil)
| ~ ssList(skaf43(X0,X1)) ),
inference(superposition,[status(thm)],[c_9130,c_807]) ).
tcf(c_22253,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf43(X0,X1),X2)
| ~ ssList(nil)
| ~ ssItem(X2)
| ~ memberP(nil,X2)
| ~ ssList(skaf43(X0,X1)) ),
inference(superposition,[status(thm)],[c_9130,c_388]) ).
tcf(c_22254,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(skaf43(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf43(X0,X1)) ),
inference(superposition,[status(thm)],[c_9130,c_383]) ).
tcf(c_22255,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf43(X0,X1))
| ( app(skaf43(X0,X1),X2) != skaf43(X0,X1) ) ),
inference(superposition,[status(thm)],[c_9130,c_397]) ).
tcf(c_22258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf43(X0,X1),X3),X2)
| ~ ssList(nil)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(nil,X2)
| ~ ssList(skaf43(X0,X1)) ),
inference(superposition,[status(thm)],[c_9130,c_419]) ).
tcf(c_22259,plain,
! [X0: $i,X1: $i] : rearsegP(skaf43(X0,X1),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_22252,c_255,c_299]) ).
tcf(c_22260,plain,
! [X0: $i,X1: $i] : frontsegP(skaf43(X0,X1),skaf43(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_22251,c_255,c_299]) ).
tcf(c_22261,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(skaf43(X1,X2),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22254,c_255,c_299]) ).
tcf(c_22266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf43(X2,X3),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22258,c_255,c_299]) ).
tcf(c_22271,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ~ ssList(X2)
| ( app(skaf43(X0,X1),X2) != skaf43(X0,X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22255,c_255,c_299]) ).
tcf(c_22275,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf43(X0,X1) = X2 )
| ~ ssList(X2)
| ( skaf43(X0,X1) != app(X2,nil) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22246,c_255,c_299]) ).
tcf(c_22279,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf43(X0,X1),X2),nil)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf43(X0,X1))
| ~ ssList(app(skaf43(X0,X1),X2)) ),
inference(light_normalisation,[status(thm)],[c_22245,c_9130]) ).
tcf(c_22280,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf43(X0,X1),X2),nil)
| ~ ssList(X2)
| ~ ssList(app(skaf43(X0,X1),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22279,c_255,c_299]) ).
tcf(c_22301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(cons(X1,X3))
| ~ ssList(app(X0,cons(X1,X2)))
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
inference(superposition,[status(thm)],[c_332,c_426]) ).
tcf(c_22302,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_12),cons(sk5,X1)))
| ~ duplicatefreeP(app(app(X0,cons(sk5,nil)),cons(sk5,X1))) ),
inference(superposition,[status(thm)],[c_6473,c_426]) ).
tcf(c_22303,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_14),cons(sk6,X1)))
| ~ duplicatefreeP(app(app(X0,cons(sk6,nil)),cons(sk6,X1))) ),
inference(superposition,[status(thm)],[c_6475,c_426]) ).
tcf(c_22304,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(app(app(X0,sk4),cons(hd(sk4),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(sk4),tl(sk4))),cons(hd(sk4),X1))) ),
inference(superposition,[status(thm)],[c_10766,c_426]) ).
tcf(c_22305,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ ssList(app(app(X0,sk7),cons(hd(sk7),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(sk7),tl(sk7))),cons(hd(sk7),X1))) ),
inference(superposition,[status(thm)],[c_10767,c_426]) ).
tcf(c_22306,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ ssList(app(app(X0,sk8),cons(hd(sk8),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(sk8),tl(sk8))),cons(hd(sk8),X1))) ),
inference(superposition,[status(thm)],[c_10768,c_426]) ).
tcf(c_22307,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ ssList(app(app(X0,sk4),cons(skaf83(sk4),X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(sk4),skaf82(sk4))),cons(skaf83(sk4),X1))) ),
inference(superposition,[status(thm)],[c_10982,c_426]) ).
tcf(c_22308,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ ssList(app(app(X0,sk7),cons(skaf83(sk7),X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(sk7),skaf82(sk7))),cons(skaf83(sk7),X1))) ),
inference(superposition,[status(thm)],[c_10983,c_426]) ).
tcf(c_22309,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ ssList(app(app(X0,sk8),cons(skaf83(sk8),X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(sk8),skaf82(sk8))),cons(skaf83(sk8),X1))) ),
inference(superposition,[status(thm)],[c_10984,c_426]) ).
tcf(c_22310,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(sk5,X1)),iPr_def_12))
| ~ duplicatefreeP(app(app(X0,cons(sk5,X1)),cons(sk5,nil))) ),
inference(superposition,[status(thm)],[c_6473,c_426]) ).
tcf(c_22311,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(sk6,X1)),iPr_def_14))
| ~ duplicatefreeP(app(app(X0,cons(sk6,X1)),cons(sk6,nil))) ),
inference(superposition,[status(thm)],[c_6475,c_426]) ).
tcf(c_22312,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(app(app(X0,cons(hd(sk4),X1)),sk4))
| ~ duplicatefreeP(app(app(X0,cons(hd(sk4),X1)),cons(hd(sk4),tl(sk4)))) ),
inference(superposition,[status(thm)],[c_10766,c_426]) ).
tcf(c_22313,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ ssList(app(app(X0,cons(hd(sk7),X1)),sk7))
| ~ duplicatefreeP(app(app(X0,cons(hd(sk7),X1)),cons(hd(sk7),tl(sk7)))) ),
inference(superposition,[status(thm)],[c_10767,c_426]) ).
tcf(c_22314,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ ssList(app(app(X0,cons(hd(sk8),X1)),sk8))
| ~ duplicatefreeP(app(app(X0,cons(hd(sk8),X1)),cons(hd(sk8),tl(sk8)))) ),
inference(superposition,[status(thm)],[c_10768,c_426]) ).
tcf(c_22315,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ ssList(app(app(X0,cons(skaf83(sk4),X1)),sk4))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(sk4),X1)),cons(skaf83(sk4),skaf82(sk4)))) ),
inference(superposition,[status(thm)],[c_10982,c_426]) ).
tcf(c_22316,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ ssList(app(app(X0,cons(skaf83(sk7),X1)),sk7))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(sk7),X1)),cons(skaf83(sk7),skaf82(sk7)))) ),
inference(superposition,[status(thm)],[c_10983,c_426]) ).
tcf(c_22317,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ ssList(app(app(X0,cons(skaf83(sk8),X1)),sk8))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(sk8),X1)),cons(skaf83(sk8),skaf82(sk8)))) ),
inference(superposition,[status(thm)],[c_10984,c_426]) ).
tcf(c_22318,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(sk6,X1)),iPr_def_14))
| ~ ssList(app(app(X0,cons(sk6,X1)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_22311,c_6475]) ).
tcf(c_22319,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(sk6,X1)),iPr_def_14))
| ~ ssList(app(app(X0,cons(sk6,X1)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22318,c_6484,c_255]) ).
tcf(c_22324,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(sk5,X1)),iPr_def_12))
| ~ ssList(app(app(X0,cons(sk5,X1)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_22310,c_6473]) ).
tcf(c_22325,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(sk5,X1)),iPr_def_12))
| ~ ssList(app(app(X0,cons(sk5,X1)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22324,c_6485,c_255]) ).
tcf(c_22330,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_14),cons(sk6,X1)))
| ~ ssList(app(app(X0,iPr_def_14),cons(sk6,X1))) ),
inference(light_normalisation,[status(thm)],[c_22303,c_6475]) ).
tcf(c_22331,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_14),cons(sk6,X1)))
| ~ ssList(app(app(X0,iPr_def_14),cons(sk6,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22330,c_6484,c_255]) ).
tcf(c_22336,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_12),cons(sk5,X1)))
| ~ ssList(app(app(X0,iPr_def_12),cons(sk5,X1))) ),
inference(light_normalisation,[status(thm)],[c_22302,c_6473]) ).
tcf(c_22337,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_12),cons(sk5,X1)))
| ~ ssList(app(app(X0,iPr_def_12),cons(sk5,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22336,c_6485,c_255]) ).
tcf(c_22349,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(sk8),X1)),sk8))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(sk8),X1)),cons(skaf83(sk8),skaf82(sk8)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22317,c_259,c_260]) ).
tcf(c_22355,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(sk7),X1)),sk7))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(sk7),X1)),cons(skaf83(sk7),skaf82(sk7)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22316,c_259,c_260]) ).
tcf(c_22361,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(sk4),X1)),sk4))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(sk4),X1)),cons(skaf83(sk4),skaf82(sk4)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22315,c_259,c_260]) ).
tcf(c_22388,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,sk8),cons(skaf83(sk8),X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(sk8),skaf82(sk8))),cons(skaf83(sk8),X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22309,c_259,c_260]) ).
tcf(c_22394,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,sk7),cons(skaf83(sk7),X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(sk7),skaf82(sk7))),cons(skaf83(sk7),X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22308,c_259,c_260]) ).
tcf(c_22400,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,sk4),cons(skaf83(sk4),X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(sk4),skaf82(sk4))),cons(skaf83(sk4),X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22307,c_259,c_260]) ).
tcf(c_22508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(cons(X1,cons(X2,X3)))
| ~ equalelemsP(app(X0,cons(X1,cons(X2,X3)))) ),
inference(superposition,[status(thm)],[c_332,c_427]) ).
tcf(c_22509,plain,
! [X0: $i,X1: $i] :
( ( X1 = sk5 )
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,iPr_def_12)))
| ~ equalelemsP(app(X0,cons(X1,cons(sk5,nil)))) ),
inference(superposition,[status(thm)],[c_6473,c_427]) ).
tcf(c_22510,plain,
! [X0: $i,X1: $i] :
( ( X1 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,iPr_def_14)))
| ~ equalelemsP(app(X0,cons(X1,cons(sk6,nil)))) ),
inference(superposition,[status(thm)],[c_6475,c_427]) ).
tcf(c_22511,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( hd(sk4) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(app(X0,cons(X1,sk4)))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(sk4),tl(sk4))))) ),
inference(superposition,[status(thm)],[c_10766,c_427]) ).
tcf(c_22512,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( hd(sk7) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ ssList(app(X0,cons(X1,sk7)))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(sk7),tl(sk7))))) ),
inference(superposition,[status(thm)],[c_10767,c_427]) ).
tcf(c_22513,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( hd(sk8) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ ssList(app(X0,cons(X1,sk8)))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(sk8),tl(sk8))))) ),
inference(superposition,[status(thm)],[c_10768,c_427]) ).
tcf(c_22514,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( skaf83(sk4) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ ssList(app(X0,cons(X1,sk4)))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(sk4),skaf82(sk4))))) ),
inference(superposition,[status(thm)],[c_10982,c_427]) ).
tcf(c_22515,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( skaf83(sk7) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ ssList(app(X0,cons(X1,sk7)))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(sk7),skaf82(sk7))))) ),
inference(superposition,[status(thm)],[c_10983,c_427]) ).
tcf(c_22516,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( skaf83(sk8) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ ssList(app(X0,cons(X1,sk8)))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(sk8),skaf82(sk8))))) ),
inference(superposition,[status(thm)],[c_10984,c_427]) ).
tcf(c_22517,plain,
! [X0: $i,X1: $i] :
( ( X1 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ equalelemsP(app(X0,cons(X1,iPr_def_14)))
| ~ ssList(app(X0,cons(X1,iPr_def_14))) ),
inference(light_normalisation,[status(thm)],[c_22510,c_6475]) ).
tcf(c_22518,plain,
! [X0: $i,X1: $i] :
( ( X1 = sk6 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ equalelemsP(app(X0,cons(X1,iPr_def_14)))
| ~ ssList(app(X0,cons(X1,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22517,c_6484,c_255]) ).
tcf(c_22524,plain,
! [X0: $i,X1: $i] :
( ( X1 = sk5 )
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ equalelemsP(app(X0,cons(X1,iPr_def_12)))
| ~ ssList(app(X0,cons(X1,iPr_def_12))) ),
inference(light_normalisation,[status(thm)],[c_22509,c_6473]) ).
tcf(c_22525,plain,
! [X0: $i,X1: $i] :
( ( X1 = sk5 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ equalelemsP(app(X0,cons(X1,iPr_def_12)))
| ~ ssList(app(X0,cons(X1,iPr_def_12))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22524,c_6485,c_255]) ).
tcf(c_22538,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( skaf83(sk8) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,sk8)))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(sk8),skaf82(sk8))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22516,c_259,c_260]) ).
tcf(c_22545,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( skaf83(sk7) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,sk7)))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(sk7),skaf82(sk7))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22515,c_259,c_260]) ).
tcf(c_22552,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( skaf83(sk4) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,sk4)))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(sk4),skaf82(sk4))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22514,c_259,c_260]) ).
tcf(c_22660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X3)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(cons(X3,X4))
| ~ ssList(app(X0,cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_332,c_428]) ).
tcf(c_22661,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk5,X1)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sk5,nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_6473,c_428]) ).
tcf(c_22662,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk6,X1)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sk6,nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_6475,c_428]) ).
tcf(c_22663,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(app(app(X0,sk4),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(sk4),tl(sk4))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10766,c_428]) ).
tcf(c_22664,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ ssList(app(app(X0,sk7),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(sk7),tl(sk7))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10767,c_428]) ).
tcf(c_22665,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ ssList(app(app(X0,sk8),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(sk8),tl(sk8))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10768,c_428]) ).
tcf(c_22666,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf83(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ ssList(app(app(X0,sk4),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(skaf83(sk4),skaf82(sk4))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10982,c_428]) ).
tcf(c_22667,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf83(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ ssList(app(app(X0,sk7),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(skaf83(sk7),skaf82(sk7))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10983,c_428]) ).
tcf(c_22668,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf83(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ ssList(app(app(X0,sk8),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(skaf83(sk8),skaf82(sk8))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10984,c_428]) ).
tcf(c_22669,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sk5,nil))) ),
inference(superposition,[status(thm)],[c_6473,c_428]) ).
tcf(c_22670,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sk6)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sk6,nil))) ),
inference(superposition,[status(thm)],[c_6475,c_428]) ).
tcf(c_22671,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sk4))
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(app(app(X0,cons(X1,X2)),sk4))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(sk4),tl(sk4)))) ),
inference(superposition,[status(thm)],[c_10766,c_428]) ).
tcf(c_22672,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sk7))
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ ssList(app(app(X0,cons(X1,X2)),sk7))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(sk7),tl(sk7)))) ),
inference(superposition,[status(thm)],[c_10767,c_428]) ).
tcf(c_22673,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sk8))
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ ssList(app(app(X0,cons(X1,X2)),sk8))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(sk8),tl(sk8)))) ),
inference(superposition,[status(thm)],[c_10768,c_428]) ).
tcf(c_22674,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk4))
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ ssList(app(app(X0,cons(X1,X2)),sk4))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(sk4),skaf82(sk4)))) ),
inference(superposition,[status(thm)],[c_10982,c_428]) ).
tcf(c_22675,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk7))
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ ssList(app(app(X0,cons(X1,X2)),sk7))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(sk7),skaf82(sk7)))) ),
inference(superposition,[status(thm)],[c_10983,c_428]) ).
tcf(c_22676,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk8))
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ ssList(app(app(X0,cons(X1,X2)),sk8))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(sk8),skaf82(sk8)))) ),
inference(superposition,[status(thm)],[c_10984,c_428]) ).
tcf(c_22677,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sk6)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_22670,c_6475]) ).
tcf(c_22678,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sk6)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22677,c_6484,c_255]) ).
tcf(c_22685,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_22669,c_6473]) ).
tcf(c_22686,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sk5)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22685,c_6485,c_255]) ).
tcf(c_22693,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk6,X1)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_22662,c_6475]) ).
tcf(c_22694,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk6,X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22693,c_6484,c_255]) ).
tcf(c_22701,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk5,X1)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_22661,c_6473]) ).
tcf(c_22702,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk5,X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22701,c_6485,c_255]) ).
tcf(c_22718,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk8))
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),sk8))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(sk8),skaf82(sk8)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22676,c_259,c_260]) ).
tcf(c_22726,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk7))
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),sk7))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(sk7),skaf82(sk7)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22675,c_259,c_260]) ).
tcf(c_22734,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk4))
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),sk4))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(sk4),skaf82(sk4)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22674,c_259,c_260]) ).
tcf(c_22769,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf83(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,sk8),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(skaf83(sk8),skaf82(sk8))),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22668,c_259,c_260]) ).
tcf(c_22777,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf83(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,sk7),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(skaf83(sk7),skaf82(sk7))),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22667,c_259,c_260]) ).
tcf(c_22785,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf83(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,sk4),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(skaf83(sk4),skaf82(sk4))),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22666,c_259,c_260]) ).
tcf(c_22906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X3)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(cons(X3,X4))
| ~ ssList(app(X0,cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_332,c_429]) ).
tcf(c_22907,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk5,X1)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sk5,nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_6473,c_429]) ).
tcf(c_22908,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk6,X1)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sk6,nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_6475,c_429]) ).
tcf(c_22909,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(app(app(X0,sk4),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(sk4),tl(sk4))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10766,c_429]) ).
tcf(c_22910,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ ssList(app(app(X0,sk7),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(sk7),tl(sk7))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10767,c_429]) ).
tcf(c_22911,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ ssList(app(app(X0,sk8),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(sk8),tl(sk8))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10768,c_429]) ).
tcf(c_22912,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf83(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ ssList(app(app(X0,sk4),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(skaf83(sk4),skaf82(sk4))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10982,c_429]) ).
tcf(c_22913,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf83(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ ssList(app(app(X0,sk7),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(skaf83(sk7),skaf82(sk7))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10983,c_429]) ).
tcf(c_22914,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf83(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ ssList(app(app(X0,sk8),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(skaf83(sk8),skaf82(sk8))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10984,c_429]) ).
tcf(c_22915,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sk5,nil))) ),
inference(superposition,[status(thm)],[c_6473,c_429]) ).
tcf(c_22916,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sk6)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sk6,nil))) ),
inference(superposition,[status(thm)],[c_6475,c_429]) ).
tcf(c_22917,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sk4))
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(app(app(X0,cons(X1,X2)),sk4))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(sk4),tl(sk4)))) ),
inference(superposition,[status(thm)],[c_10766,c_429]) ).
tcf(c_22918,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sk7))
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ ssList(app(app(X0,cons(X1,X2)),sk7))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(sk7),tl(sk7)))) ),
inference(superposition,[status(thm)],[c_10767,c_429]) ).
tcf(c_22919,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sk8))
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ ssList(app(app(X0,cons(X1,X2)),sk8))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(sk8),tl(sk8)))) ),
inference(superposition,[status(thm)],[c_10768,c_429]) ).
tcf(c_22920,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk4))
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ ssList(app(app(X0,cons(X1,X2)),sk4))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(sk4),skaf82(sk4)))) ),
inference(superposition,[status(thm)],[c_10982,c_429]) ).
tcf(c_22921,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk7))
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ ssList(app(app(X0,cons(X1,X2)),sk7))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(sk7),skaf82(sk7)))) ),
inference(superposition,[status(thm)],[c_10983,c_429]) ).
tcf(c_22922,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk8))
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ ssList(app(app(X0,cons(X1,X2)),sk8))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(sk8),skaf82(sk8)))) ),
inference(superposition,[status(thm)],[c_10984,c_429]) ).
tcf(c_22923,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sk6)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_22916,c_6475]) ).
tcf(c_22924,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sk6)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22923,c_6484,c_255]) ).
tcf(c_22931,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_22915,c_6473]) ).
tcf(c_22932,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sk5)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22931,c_6485,c_255]) ).
tcf(c_22939,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk6,X1)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_22908,c_6475]) ).
tcf(c_22940,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk6,X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22939,c_6484,c_255]) ).
tcf(c_22947,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk5,X1)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_22907,c_6473]) ).
tcf(c_22948,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk5,X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22947,c_6485,c_255]) ).
tcf(c_22964,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk8))
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),sk8))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(sk8),skaf82(sk8)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22922,c_259,c_260]) ).
tcf(c_22972,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk7))
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),sk7))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(sk7),skaf82(sk7)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22921,c_259,c_260]) ).
tcf(c_22980,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk4))
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),sk4))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(sk4),skaf82(sk4)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22920,c_259,c_260]) ).
tcf(c_23015,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf83(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,sk8),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(skaf83(sk8),skaf82(sk8))),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22914,c_259,c_260]) ).
tcf(c_23023,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf83(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,sk7),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(skaf83(sk7),skaf82(sk7))),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22913,c_259,c_260]) ).
tcf(c_23031,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf83(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,sk4),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(skaf83(sk4),skaf82(sk4))),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22912,c_259,c_260]) ).
tcf(c_23083,plain,
! [X0: $i] :
( ( app(skaf51(X0),skaf45(skaf51(X0),skaf51(X0))) = skaf51(X0) )
| ~ ssList(skaf51(X0)) ),
inference(superposition,[status(thm)],[c_17470,c_379]) ).
tcf(c_23085,plain,
! [X0: $i] : app(skaf51(X0),skaf45(skaf51(X0),skaf51(X0))) = skaf51(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_23083,c_291]) ).
tcf(c_23087,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf48(X1,X2))
| ~ rearsegP(X0,skaf48(X1,X2)) ),
inference(superposition,[status(thm)],[c_18420,c_400]) ).
tcf(c_23088,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(skaf48(X0,X1),nil),nil) = skaf48(X0,X1) )
| ~ ssList(nil)
| ~ ssList(skaf48(X0,X1)) ),
inference(superposition,[status(thm)],[c_18420,c_378]) ).
tcf(c_23089,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ~ ssList(nil)
| ~ ssList(skaf48(X0,X1))
| ~ rearsegP(nil,skaf48(X0,X1)) ),
inference(superposition,[status(thm)],[c_18420,c_375]) ).
tcf(c_23090,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ~ rearsegP(nil,skaf48(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23089,c_255,c_295]) ).
tcf(c_23093,plain,
! [X0: $i,X1: $i] : app(skaf46(skaf48(X0,X1),nil),nil) = skaf48(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_23088,c_255,c_295]) ).
tcf(c_23097,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf47(X1,X2))
| ~ rearsegP(X0,skaf47(X1,X2)) ),
inference(superposition,[status(thm)],[c_19582,c_400]) ).
tcf(c_23098,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(skaf47(X0,X1),nil),nil) = skaf47(X0,X1) )
| ~ ssList(nil)
| ~ ssList(skaf47(X0,X1)) ),
inference(superposition,[status(thm)],[c_19582,c_378]) ).
tcf(c_23099,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ~ ssList(nil)
| ~ ssList(skaf47(X0,X1))
| ~ rearsegP(nil,skaf47(X0,X1)) ),
inference(superposition,[status(thm)],[c_19582,c_375]) ).
tcf(c_23100,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ~ rearsegP(nil,skaf47(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23099,c_255,c_296]) ).
tcf(c_23103,plain,
! [X0: $i,X1: $i] : app(skaf46(skaf47(X0,X1),nil),nil) = skaf47(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_23098,c_255,c_296]) ).
tcf(c_23110,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf46(X1,X2))
| ~ rearsegP(X0,skaf46(X1,X2)) ),
inference(superposition,[status(thm)],[c_20159,c_400]) ).
tcf(c_23111,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(skaf46(X0,X1),nil),nil) = skaf46(X0,X1) )
| ~ ssList(nil)
| ~ ssList(skaf46(X0,X1)) ),
inference(superposition,[status(thm)],[c_20159,c_378]) ).
tcf(c_23112,plain,
! [X0: $i,X1: $i] :
( ( skaf46(X0,X1) = nil )
| ~ ssList(nil)
| ~ ssList(skaf46(X0,X1))
| ~ rearsegP(nil,skaf46(X0,X1)) ),
inference(superposition,[status(thm)],[c_20159,c_375]) ).
tcf(c_23113,plain,
! [X0: $i,X1: $i] :
( ( skaf46(X0,X1) = nil )
| ~ rearsegP(nil,skaf46(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23112,c_255,c_297]) ).
tcf(c_23116,plain,
! [X0: $i,X1: $i] : app(skaf46(skaf46(X0,X1),nil),nil) = skaf46(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_23111,c_255,c_297]) ).
tcf(c_23126,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk7),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk9,sk7),sk7))
| ~ ssList(app(app(skaf46(cons(sk9,sk7),sk7),sk7),X0)) ),
inference(superposition,[status(thm)],[c_15452,c_420]) ).
tcf(c_23127,plain,
! [X0: $i] :
( ( skaf46(cons(sk9,sk7),sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk9,sk7),sk7))
| ( app(X0,sk7) != cons(sk9,sk7) ) ),
inference(superposition,[status(thm)],[c_15452,c_398]) ).
tcf(c_23129,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(cons(sk9,sk7),sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(cons(sk9,sk7),X0)
| ~ ssList(skaf46(cons(sk9,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_15452,c_405]) ).
tcf(c_23130,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(skaf46(cons(sk9,sk7),sk7))
| ( cons(sk9,sk7) != nil ) ),
inference(superposition,[status(thm)],[c_15452,c_366]) ).
tcf(c_23131,plain,
( ( skaf46(cons(sk9,sk7),sk7) = nil )
| ~ ssList(sk7)
| ~ ssList(skaf46(cons(sk9,sk7),sk7))
| ( cons(sk9,sk7) != nil ) ),
inference(superposition,[status(thm)],[c_15452,c_365]) ).
tcf(c_23132,plain,
( frontsegP(cons(sk9,sk7),skaf46(cons(sk9,sk7),sk7))
| ~ ssList(sk7)
| ~ ssList(skaf46(cons(sk9,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_15452,c_808]) ).
tcf(c_23134,plain,
! [X0: $i] :
( memberP(cons(sk9,sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf46(cons(sk9,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_15452,c_388]) ).
tcf(c_23135,plain,
! [X0: $i] :
( rearsegP(cons(sk9,sk7),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(skaf46(cons(sk9,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_15452,c_383]) ).
tcf(c_23136,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk9,sk7),sk7))
| ( app(skaf46(cons(sk9,sk7),sk7),X0) != cons(sk9,sk7) ) ),
inference(superposition,[status(thm)],[c_15452,c_397]) ).
tcf(c_23137,plain,
! [X0: $i] :
( memberP(cons(sk9,sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf46(cons(sk9,sk7),sk7))
| ~ memberP(skaf46(cons(sk9,sk7),sk7),X0) ),
inference(superposition,[status(thm)],[c_15452,c_387]) ).
tcf(c_23138,plain,
! [X0: $i] :
( frontsegP(cons(sk9,sk7),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk9,sk7),sk7))
| ~ frontsegP(skaf46(cons(sk9,sk7),sk7),X0) ),
inference(superposition,[status(thm)],[c_15452,c_384]) ).
tcf(c_23139,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk9,sk7),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(skaf46(cons(sk9,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_15452,c_419]) ).
tcf(c_23140,plain,
frontsegP(cons(sk9,sk7),skaf46(cons(sk9,sk7),sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_23132,c_6483,c_297]) ).
tcf(c_23141,plain,
( ( sk7 = nil )
| ( cons(sk9,sk7) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23130,c_6483,c_297]) ).
tcf(c_23144,plain,
! [X0: $i] :
( rearsegP(cons(sk9,sk7),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23135,c_6483,c_297]) ).
tcf(c_23148,plain,
! [X0: $i] :
( memberP(cons(sk9,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23134,c_6483,c_297]) ).
tcf(c_23152,plain,
( ( skaf46(cons(sk9,sk7),sk7) = nil )
| ( cons(sk9,sk7) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23131,c_6483,c_297]) ).
tcf(c_23155,plain,
! [X0: $i] :
( frontsegP(cons(sk9,sk7),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(cons(sk9,sk7),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23138,c_6483,c_297]) ).
tcf(c_23159,plain,
! [X0: $i] :
( memberP(cons(sk9,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(cons(sk9,sk7),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23137,c_6483,c_297]) ).
tcf(c_23163,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk9,sk7),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23139,c_6483,c_297]) ).
tcf(c_23168,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(cons(sk9,sk7),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk9,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23129,c_6483,c_297]) ).
tcf(c_23173,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(skaf46(cons(sk9,sk7),sk7),X0) != cons(sk9,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23136,c_6483,c_297]) ).
tcf(c_23177,plain,
! [X0: $i] :
( ( skaf46(cons(sk9,sk7),sk7) = X0 )
| ~ ssList(X0)
| ( app(X0,sk7) != cons(sk9,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23127,c_6483,c_297]) ).
tcf(c_23181,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk7),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk9,sk7),sk7))
| ~ ssList(app(cons(sk9,sk7),X0)) ),
inference(light_normalisation,[status(thm)],[c_23126,c_15452]) ).
tcf(c_23182,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk7),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk9,sk7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23181,c_6483,c_297]) ).
tcf(c_23206,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk9,sk7),sk7))
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk7))
| ~ frontsegP(X0,cons(sk9,sk7))
| ~ ssList(skaf46(cons(sk9,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_23140,c_401]) ).
tcf(c_23207,plain,
( ( app(skaf46(cons(sk9,sk7),sk7),skaf45(cons(sk9,sk7),skaf46(cons(sk9,sk7),sk7))) = cons(sk9,sk7) )
| ~ ssList(cons(sk9,sk7))
| ~ ssList(skaf46(cons(sk9,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_23140,c_379]) ).
tcf(c_23208,plain,
( ( skaf46(cons(sk9,sk7),sk7) = cons(sk9,sk7) )
| ~ ssList(cons(sk9,sk7))
| ~ ssList(skaf46(cons(sk9,sk7),sk7))
| ~ frontsegP(skaf46(cons(sk9,sk7),sk7),cons(sk9,sk7)) ),
inference(superposition,[status(thm)],[c_23140,c_376]) ).
tcf(c_23209,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk9,sk7),sk7))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk9,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23206,c_14920,c_297]) ).
tcf(c_23213,plain,
( ( skaf46(cons(sk9,sk7),sk7) = cons(sk9,sk7) )
| ~ frontsegP(skaf46(cons(sk9,sk7),sk7),cons(sk9,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23208,c_14920,c_297]) ).
tcf(c_23216,plain,
app(skaf46(cons(sk9,sk7),sk7),skaf45(cons(sk9,sk7),skaf46(cons(sk9,sk7),sk7))) = cons(sk9,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_23207,c_14920,c_297]) ).
tcf(c_23240,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk7))
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk9,sk7)) ),
inference(superposition,[status(thm)],[c_383,c_15453]) ).
tcf(c_23241,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk9,sk7)),sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk7))
| ~ ssList(app(X0,cons(sk9,sk7))) ),
inference(superposition,[status(thm)],[c_807,c_15453]) ).
tcf(c_23242,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk9,sk7)),sk7)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sk9,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23241,c_14920]) ).
tcf(c_23246,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk9,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23240,c_14920]) ).
tcf(c_23261,plain,
( frontsegP(sk7,skaf46(sk4,sk4))
| ~ ssList(nil)
| ~ frontsegP(nil,sk4)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_15607,c_13538]) ).
tcf(c_23262,plain,
( frontsegP(sk8,skaf46(sk4,sk4))
| ~ ssList(nil)
| ~ frontsegP(nil,sk4)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_15607,c_13534]) ).
tcf(c_23263,plain,
( ( skaf46(sk4,sk4) = nil )
| ~ ssList(nil)
| ~ frontsegP(nil,sk4)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_15607,c_331]) ).
tcf(c_23264,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,skaf46(sk4,sk4))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,sk4)
| ~ frontsegP(X0,X1)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_15607,c_401]) ).
tcf(c_23265,plain,
! [X0: $i] :
( ( app(skaf46(sk4,sk4),skaf45(X0,skaf46(sk4,sk4))) = X0 )
| ~ ssList(X0)
| ~ frontsegP(X0,sk4)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_15607,c_379]) ).
tcf(c_23266,plain,
! [X0: $i] :
( ( skaf46(sk4,sk4) = X0 )
| ~ ssList(X0)
| ~ frontsegP(X0,sk4)
| ~ ssList(skaf46(sk4,sk4))
| ~ frontsegP(skaf46(sk4,sk4),X0) ),
inference(superposition,[status(thm)],[c_15607,c_376]) ).
tcf(c_23267,plain,
( frontsegP(iPr_def_13,skaf46(sk4,sk4))
| ~ ssList(sk7)
| ~ frontsegP(sk7,sk4)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_15607,c_13555]) ).
tcf(c_23268,plain,
( frontsegP(sk8,skaf46(sk4,sk4))
| ~ ssList(skaf46(sk8,sk8))
| ~ ssList(skaf46(sk4,sk4))
| ~ frontsegP(skaf46(sk8,sk8),sk4) ),
inference(superposition,[status(thm)],[c_15607,c_13613]) ).
tcf(c_23269,plain,
( frontsegP(sk7,skaf46(sk4,sk4))
| ~ ssList(skaf46(sk7,sk7))
| ~ ssList(skaf46(sk4,sk4))
| ~ frontsegP(skaf46(sk7,sk7),sk4) ),
inference(superposition,[status(thm)],[c_15607,c_13634]) ).
tcf(c_23271,plain,
( frontsegP(iPr_def_16,skaf46(sk4,sk4))
| ~ ssList(skaf46(iPr_def_16,sk8))
| ~ ssList(skaf46(sk4,sk4))
| ~ frontsegP(skaf46(iPr_def_16,sk8),sk4) ),
inference(superposition,[status(thm)],[c_15607,c_14081]) ).
tcf(c_23272,plain,
( frontsegP(iPr_def_13,skaf46(sk4,sk4))
| ~ frontsegP(sk7,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23267,c_6483,c_297]) ).
tcf(c_23275,plain,
( frontsegP(sk8,skaf46(sk4,sk4))
| ~ frontsegP(nil,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23262,c_255,c_297]) ).
tcf(c_23278,plain,
( frontsegP(sk7,skaf46(sk4,sk4))
| ~ frontsegP(nil,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23261,c_255,c_297]) ).
tcf(c_23281,plain,
( ( skaf46(sk4,sk4) = nil )
| ~ frontsegP(nil,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23263,c_255,c_297]) ).
tcf(c_23284,plain,
( frontsegP(iPr_def_16,skaf46(sk4,sk4))
| ~ frontsegP(skaf46(iPr_def_16,sk8),sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23271,c_297,c_297]) ).
tcf(c_23287,plain,
( frontsegP(sk7,skaf46(sk4,sk4))
| ~ frontsegP(skaf46(sk7,sk7),sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23269,c_297,c_297]) ).
tcf(c_23290,plain,
( frontsegP(sk8,skaf46(sk4,sk4))
| ~ frontsegP(skaf46(sk8,sk8),sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23268,c_297,c_297]) ).
tcf(c_23293,plain,
! [X0: $i] :
( ( skaf46(sk4,sk4) = X0 )
| ~ ssList(X0)
| ~ frontsegP(X0,sk4)
| ~ frontsegP(skaf46(sk4,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23266,c_297]) ).
tcf(c_23298,plain,
! [X0: $i] :
( ( app(skaf46(sk4,sk4),skaf45(X0,skaf46(sk4,sk4))) = X0 )
| ~ ssList(X0)
| ~ frontsegP(X0,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23265,c_297]) ).
tcf(c_23302,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,skaf46(sk4,sk4))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,sk4)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23264,c_297]) ).
tcf(c_23325,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk4,sk4))
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ frontsegP(sk7,sk4)
| ~ frontsegP(X0,iPr_def_13)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_23272,c_401]) ).
tcf(c_23326,plain,
( ( app(skaf46(sk4,sk4),skaf45(iPr_def_13,skaf46(sk4,sk4))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ frontsegP(sk7,sk4)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_23272,c_379]) ).
tcf(c_23327,plain,
( ( skaf46(sk4,sk4) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ frontsegP(sk7,sk4)
| ~ ssList(skaf46(sk4,sk4))
| ~ frontsegP(skaf46(sk4,sk4),iPr_def_13) ),
inference(superposition,[status(thm)],[c_23272,c_376]) ).
tcf(c_23328,plain,
( ( skaf46(sk4,sk4) = iPr_def_13 )
| ~ frontsegP(sk7,sk4)
| ~ frontsegP(skaf46(sk4,sk4),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23327,c_9527,c_297]) ).
tcf(c_23332,plain,
( ( app(skaf46(sk4,sk4),skaf45(iPr_def_13,skaf46(sk4,sk4))) = iPr_def_13 )
| ~ frontsegP(sk7,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23326,c_9527,c_297]) ).
tcf(c_23335,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk4,sk4))
| ~ ssList(X0)
| ~ frontsegP(sk7,sk4)
| ~ frontsegP(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23325,c_9527,c_297]) ).
tcf(c_23346,plain,
( frontsegP(sk4,skaf46(sk7,sk7))
| ~ ssList(nil)
| ~ frontsegP(nil,sk7)
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_15611,c_13542]) ).
tcf(c_23348,plain,
( frontsegP(sk8,skaf46(sk7,sk7))
| ~ ssList(nil)
| ~ frontsegP(nil,sk7)
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_15611,c_13534]) ).
tcf(c_23349,plain,
( ( skaf46(sk7,sk7) = nil )
| ~ ssList(nil)
| ~ frontsegP(nil,sk7)
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_15611,c_331]) ).
tcf(c_23350,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,skaf46(sk7,sk7))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,sk7)
| ~ frontsegP(X0,X1)
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_15611,c_401]) ).
tcf(c_23351,plain,
! [X0: $i] :
( ( app(skaf46(sk7,sk7),skaf45(X0,skaf46(sk7,sk7))) = X0 )
| ~ ssList(X0)
| ~ frontsegP(X0,sk7)
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_15611,c_379]) ).
tcf(c_23352,plain,
! [X0: $i] :
( ( skaf46(sk7,sk7) = X0 )
| ~ ssList(X0)
| ~ frontsegP(X0,sk7)
| ~ ssList(skaf46(sk7,sk7))
| ~ frontsegP(skaf46(sk7,sk7),X0) ),
inference(superposition,[status(thm)],[c_15611,c_376]) ).
tcf(c_23354,plain,
( frontsegP(sk8,skaf46(sk7,sk7))
| ~ ssList(skaf46(sk8,sk8))
| ~ ssList(skaf46(sk7,sk7))
| ~ frontsegP(skaf46(sk8,sk8),sk7) ),
inference(superposition,[status(thm)],[c_15611,c_13613]) ).
tcf(c_23356,plain,
( frontsegP(sk4,skaf46(sk7,sk7))
| ~ ssList(skaf46(sk7,sk7))
| ~ ssList(skaf46(sk4,sk4))
| ~ frontsegP(skaf46(sk4,sk4),sk7) ),
inference(superposition,[status(thm)],[c_15611,c_13655]) ).
tcf(c_23357,plain,
( frontsegP(iPr_def_16,skaf46(sk7,sk7))
| ~ ssList(skaf46(iPr_def_16,sk8))
| ~ ssList(skaf46(sk7,sk7))
| ~ frontsegP(skaf46(iPr_def_16,sk8),sk7) ),
inference(superposition,[status(thm)],[c_15611,c_14081]) ).
tcf(c_23358,plain,
( frontsegP(sk8,skaf46(sk7,sk7))
| ~ frontsegP(nil,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23348,c_255,c_297]) ).
tcf(c_23361,plain,
( frontsegP(sk4,skaf46(sk7,sk7))
| ~ frontsegP(nil,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23346,c_255,c_297]) ).
tcf(c_23364,plain,
( ( skaf46(sk7,sk7) = nil )
| ~ frontsegP(nil,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23349,c_255,c_297]) ).
tcf(c_23367,plain,
( frontsegP(iPr_def_16,skaf46(sk7,sk7))
| ~ frontsegP(skaf46(iPr_def_16,sk8),sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23357,c_297,c_297]) ).
tcf(c_23370,plain,
( frontsegP(sk4,skaf46(sk7,sk7))
| ~ frontsegP(skaf46(sk4,sk4),sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23356,c_297,c_297]) ).
tcf(c_23373,plain,
( frontsegP(sk8,skaf46(sk7,sk7))
| ~ frontsegP(skaf46(sk8,sk8),sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23354,c_297,c_297]) ).
tcf(c_23376,plain,
! [X0: $i] :
( ( skaf46(sk7,sk7) = X0 )
| ~ ssList(X0)
| ~ frontsegP(X0,sk7)
| ~ frontsegP(skaf46(sk7,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23352,c_297]) ).
tcf(c_23381,plain,
! [X0: $i] :
( ( app(skaf46(sk7,sk7),skaf45(X0,skaf46(sk7,sk7))) = X0 )
| ~ ssList(X0)
| ~ frontsegP(X0,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23351,c_297]) ).
tcf(c_23385,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,skaf46(sk7,sk7))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,sk7)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23350,c_297]) ).
tcf(c_23417,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf42(X0,X1),X2),nil)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf42(X0,X1))
| ~ ssList(app(app(skaf42(X0,X1),nil),X2)) ),
inference(superposition,[status(thm)],[c_9131,c_420]) ).
tcf(c_23418,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf42(X0,X1) = X2 )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf42(X0,X1))
| ( skaf42(X0,X1) != app(X2,nil) ) ),
inference(superposition,[status(thm)],[c_9131,c_398]) ).
tcf(c_23423,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf42(X0,X1),skaf42(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf42(X0,X1)) ),
inference(superposition,[status(thm)],[c_9131,c_808]) ).
tcf(c_23424,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf42(X0,X1),nil)
| ~ ssList(nil)
| ~ ssList(skaf42(X0,X1)) ),
inference(superposition,[status(thm)],[c_9131,c_807]) ).
tcf(c_23425,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf42(X0,X1),X2)
| ~ ssList(nil)
| ~ ssItem(X2)
| ~ memberP(nil,X2)
| ~ ssList(skaf42(X0,X1)) ),
inference(superposition,[status(thm)],[c_9131,c_388]) ).
tcf(c_23426,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(skaf42(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ rearsegP(nil,X2)
| ~ ssList(skaf42(X0,X1)) ),
inference(superposition,[status(thm)],[c_9131,c_383]) ).
tcf(c_23427,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf42(X0,X1))
| ( app(skaf42(X0,X1),X2) != skaf42(X0,X1) ) ),
inference(superposition,[status(thm)],[c_9131,c_397]) ).
tcf(c_23430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf42(X0,X1),X3),X2)
| ~ ssList(nil)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(nil,X2)
| ~ ssList(skaf42(X0,X1)) ),
inference(superposition,[status(thm)],[c_9131,c_419]) ).
tcf(c_23431,plain,
! [X0: $i,X1: $i] : rearsegP(skaf42(X0,X1),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_23424,c_255,c_300]) ).
tcf(c_23432,plain,
! [X0: $i,X1: $i] : frontsegP(skaf42(X0,X1),skaf42(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_23423,c_255,c_300]) ).
tcf(c_23433,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(skaf42(X1,X2),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23426,c_255,c_300]) ).
tcf(c_23438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf42(X2,X3),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23430,c_255,c_300]) ).
tcf(c_23443,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ~ ssList(X2)
| ( app(skaf42(X0,X1),X2) != skaf42(X0,X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23427,c_255,c_300]) ).
tcf(c_23447,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf42(X0,X1) = X2 )
| ~ ssList(X2)
| ( skaf42(X0,X1) != app(X2,nil) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23418,c_255,c_300]) ).
tcf(c_23451,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf42(X0,X1),X2),nil)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf42(X0,X1))
| ~ ssList(app(skaf42(X0,X1),X2)) ),
inference(light_normalisation,[status(thm)],[c_23417,c_9131]) ).
tcf(c_23452,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf42(X0,X1),X2),nil)
| ~ ssList(X2)
| ~ ssList(app(skaf42(X0,X1),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23451,c_255,c_300]) ).
tcf(c_23490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X3,X1)
| lt(X1,X3)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(cons(X3,X4))
| ~ ssList(app(X0,cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_332,c_430]) ).
tcf(c_23491,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk5,X1)
| lt(X1,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(sk5,nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_6473,c_430]) ).
tcf(c_23492,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk6,X1)
| lt(X1,sk6)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(sk6,nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_6475,c_430]) ).
tcf(c_23493,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sk4))
| lt(hd(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(app(app(X0,sk4),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(hd(sk4),tl(sk4))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10766,c_430]) ).
tcf(c_23494,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sk7))
| lt(hd(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ ssList(app(app(X0,sk7),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(hd(sk7),tl(sk7))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10767,c_430]) ).
tcf(c_23495,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sk8))
| lt(hd(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ ssList(app(app(X0,sk8),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(hd(sk8),tl(sk8))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10768,c_430]) ).
tcf(c_23496,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk4))
| lt(skaf83(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ ssList(app(app(X0,sk4),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(skaf83(sk4),skaf82(sk4))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10982,c_430]) ).
tcf(c_23497,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk7))
| lt(skaf83(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ ssList(app(app(X0,sk7),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(skaf83(sk7),skaf82(sk7))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10983,c_430]) ).
tcf(c_23498,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk8))
| lt(skaf83(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ ssList(app(app(X0,sk8),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(skaf83(sk8),skaf82(sk8))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10984,c_430]) ).
tcf(c_23499,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk5,X1)
| lt(X1,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(sk5,nil))) ),
inference(superposition,[status(thm)],[c_6473,c_430]) ).
tcf(c_23500,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk6,X1)
| lt(X1,sk6)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(sk6,nil))) ),
inference(superposition,[status(thm)],[c_6475,c_430]) ).
tcf(c_23501,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sk4))
| lt(hd(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(app(app(X0,cons(X1,X2)),sk4))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(sk4),tl(sk4)))) ),
inference(superposition,[status(thm)],[c_10766,c_430]) ).
tcf(c_23502,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sk7))
| lt(hd(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ ssList(app(app(X0,cons(X1,X2)),sk7))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(sk7),tl(sk7)))) ),
inference(superposition,[status(thm)],[c_10767,c_430]) ).
tcf(c_23503,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sk8))
| lt(hd(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ ssList(app(app(X0,cons(X1,X2)),sk8))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(sk8),tl(sk8)))) ),
inference(superposition,[status(thm)],[c_10768,c_430]) ).
tcf(c_23504,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk4))
| lt(skaf83(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ ssList(app(app(X0,cons(X1,X2)),sk4))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(sk4),skaf82(sk4)))) ),
inference(superposition,[status(thm)],[c_10982,c_430]) ).
tcf(c_23505,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk7))
| lt(skaf83(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ ssList(app(app(X0,cons(X1,X2)),sk7))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(sk7),skaf82(sk7)))) ),
inference(superposition,[status(thm)],[c_10983,c_430]) ).
tcf(c_23506,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk8))
| lt(skaf83(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ ssList(app(app(X0,cons(X1,X2)),sk8))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(sk8),skaf82(sk8)))) ),
inference(superposition,[status(thm)],[c_10984,c_430]) ).
tcf(c_23507,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk6,X1)
| lt(X1,sk6)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_23500,c_6475]) ).
tcf(c_23508,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk6,X1)
| lt(X1,sk6)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23507,c_6484,c_255]) ).
tcf(c_23516,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk5,X1)
| lt(X1,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_23499,c_6473]) ).
tcf(c_23517,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk5,X1)
| lt(X1,sk5)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23516,c_6485,c_255]) ).
tcf(c_23525,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk6,X1)
| lt(X1,sk6)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_23492,c_6475]) ).
tcf(c_23526,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk6,X1)
| lt(X1,sk6)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23525,c_6484,c_255]) ).
tcf(c_23534,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk5,X1)
| lt(X1,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_23491,c_6473]) ).
tcf(c_23535,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sk5,X1)
| lt(X1,sk5)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23534,c_6485,c_255]) ).
tcf(c_23553,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk8))
| lt(skaf83(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),sk8))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(sk8),skaf82(sk8)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23506,c_259,c_260]) ).
tcf(c_23562,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk7))
| lt(skaf83(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),sk7))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(sk7),skaf82(sk7)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23505,c_259,c_260]) ).
tcf(c_23571,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk4))
| lt(skaf83(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),sk4))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(sk4),skaf82(sk4)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23504,c_259,c_260]) ).
tcf(c_23610,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk8))
| lt(skaf83(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,sk8),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(skaf83(sk8),skaf82(sk8))),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23498,c_259,c_260]) ).
tcf(c_23619,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk7))
| lt(skaf83(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,sk7),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(skaf83(sk7),skaf82(sk7))),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23497,c_259,c_260]) ).
tcf(c_23628,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(sk4))
| lt(skaf83(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,sk4),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(skaf83(sk4),skaf82(sk4))),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23496,c_259,c_260]) ).
tcf(c_23722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X3,X1)
| leq(X1,X3)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(cons(X3,X4))
| ~ ssList(app(X0,cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_332,c_431]) ).
tcf(c_23723,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk5,X1)
| leq(X1,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(sk5,nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_6473,c_431]) ).
tcf(c_23724,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk6,X1)
| leq(X1,sk6)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(sk6,nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_6475,c_431]) ).
tcf(c_23725,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sk4))
| leq(hd(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(app(app(X0,sk4),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(hd(sk4),tl(sk4))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10766,c_431]) ).
tcf(c_23726,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sk7))
| leq(hd(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ ssList(app(app(X0,sk7),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(hd(sk7),tl(sk7))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10767,c_431]) ).
tcf(c_23727,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sk8))
| leq(hd(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ ssList(app(app(X0,sk8),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(hd(sk8),tl(sk8))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10768,c_431]) ).
tcf(c_23728,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk4))
| leq(skaf83(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ ssList(app(app(X0,sk4),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(skaf83(sk4),skaf82(sk4))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10982,c_431]) ).
tcf(c_23729,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk7))
| leq(skaf83(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ ssList(app(app(X0,sk7),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(skaf83(sk7),skaf82(sk7))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10983,c_431]) ).
tcf(c_23730,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk8))
| leq(skaf83(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ ssList(app(app(X0,sk8),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(skaf83(sk8),skaf82(sk8))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10984,c_431]) ).
tcf(c_23731,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk5,X1)
| leq(X1,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(sk5,nil))) ),
inference(superposition,[status(thm)],[c_6473,c_431]) ).
tcf(c_23732,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk6,X1)
| leq(X1,sk6)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(sk6,nil))) ),
inference(superposition,[status(thm)],[c_6475,c_431]) ).
tcf(c_23733,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sk4))
| leq(hd(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(app(app(X0,cons(X1,X2)),sk4))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(sk4),tl(sk4)))) ),
inference(superposition,[status(thm)],[c_10766,c_431]) ).
tcf(c_23734,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sk7))
| leq(hd(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ ssList(app(app(X0,cons(X1,X2)),sk7))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(sk7),tl(sk7)))) ),
inference(superposition,[status(thm)],[c_10767,c_431]) ).
tcf(c_23735,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sk8))
| leq(hd(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ ssList(app(app(X0,cons(X1,X2)),sk8))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(sk8),tl(sk8)))) ),
inference(superposition,[status(thm)],[c_10768,c_431]) ).
tcf(c_23736,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk4))
| leq(skaf83(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ ssList(app(app(X0,cons(X1,X2)),sk4))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(sk4),skaf82(sk4)))) ),
inference(superposition,[status(thm)],[c_10982,c_431]) ).
tcf(c_23737,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk7))
| leq(skaf83(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ ssList(app(app(X0,cons(X1,X2)),sk7))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(sk7),skaf82(sk7)))) ),
inference(superposition,[status(thm)],[c_10983,c_431]) ).
tcf(c_23738,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk8))
| leq(skaf83(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ ssList(app(app(X0,cons(X1,X2)),sk8))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(sk8),skaf82(sk8)))) ),
inference(superposition,[status(thm)],[c_10984,c_431]) ).
tcf(c_23739,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk6,X1)
| leq(X1,sk6)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_23732,c_6475]) ).
tcf(c_23740,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk6,X1)
| leq(X1,sk6)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23739,c_6484,c_255]) ).
tcf(c_23748,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk5,X1)
| leq(X1,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_23731,c_6473]) ).
tcf(c_23749,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk5,X1)
| leq(X1,sk5)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23748,c_6485,c_255]) ).
tcf(c_23757,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk6,X1)
| leq(X1,sk6)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_23724,c_6475]) ).
tcf(c_23758,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk6,X1)
| leq(X1,sk6)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23757,c_6484,c_255]) ).
tcf(c_23766,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk5,X1)
| leq(X1,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_23723,c_6473]) ).
tcf(c_23767,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sk5,X1)
| leq(X1,sk5)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23766,c_6485,c_255]) ).
tcf(c_23785,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk8))
| leq(skaf83(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),sk8))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(sk8),skaf82(sk8)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23738,c_259,c_260]) ).
tcf(c_23794,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk7))
| leq(skaf83(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),sk7))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(sk7),skaf82(sk7)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23737,c_259,c_260]) ).
tcf(c_23803,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk4))
| leq(skaf83(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),sk4))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(sk4),skaf82(sk4)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23736,c_259,c_260]) ).
tcf(c_23842,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk8))
| leq(skaf83(sk8),X1)
| ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,sk8),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(skaf83(sk8),skaf82(sk8))),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23730,c_259,c_260]) ).
tcf(c_23851,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk7))
| leq(skaf83(sk7),X1)
| ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,sk7),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(skaf83(sk7),skaf82(sk7))),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23729,c_259,c_260]) ).
tcf(c_23860,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(sk4))
| leq(skaf83(sk4),X1)
| ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,sk4),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(skaf83(sk4),skaf82(sk4))),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23728,c_259,c_260]) ).
tcf(c_23933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X3,X1)
| ~ leq(X1,X3)
| ~ ssList(cons(X3,X4))
| ~ ssList(app(X0,cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_332,c_432]) ).
tcf(c_23934,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(sk5,X1)
| ~ leq(X1,sk5)
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(sk5,nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_6473,c_432]) ).
tcf(c_23935,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(sk6,X1)
| ~ leq(X1,sk6)
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(sk6,nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_6475,c_432]) ).
tcf(c_23936,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ leq(X1,hd(sk4))
| ~ leq(hd(sk4),X1)
| ~ ssList(app(app(X0,sk4),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(hd(sk4),tl(sk4))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10766,c_432]) ).
tcf(c_23937,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ leq(X1,hd(sk7))
| ~ leq(hd(sk7),X1)
| ~ ssList(app(app(X0,sk7),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(hd(sk7),tl(sk7))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10767,c_432]) ).
tcf(c_23938,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ leq(X1,hd(sk8))
| ~ leq(hd(sk8),X1)
| ~ ssList(app(app(X0,sk8),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(hd(sk8),tl(sk8))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10768,c_432]) ).
tcf(c_23939,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ leq(X1,skaf83(sk4))
| ~ leq(skaf83(sk4),X1)
| ~ ssList(app(app(X0,sk4),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(sk4),skaf82(sk4))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10982,c_432]) ).
tcf(c_23940,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ leq(X1,skaf83(sk7))
| ~ leq(skaf83(sk7),X1)
| ~ ssList(app(app(X0,sk7),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(sk7),skaf82(sk7))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10983,c_432]) ).
tcf(c_23941,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ leq(X1,skaf83(sk8))
| ~ leq(skaf83(sk8),X1)
| ~ ssList(app(app(X0,sk8),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(sk8),skaf82(sk8))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_10984,c_432]) ).
tcf(c_23942,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(sk5,X1)
| ~ leq(X1,sk5)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(sk5,nil))) ),
inference(superposition,[status(thm)],[c_6473,c_432]) ).
tcf(c_23943,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(sk6,X1)
| ~ leq(X1,sk6)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(sk6,nil))) ),
inference(superposition,[status(thm)],[c_6475,c_432]) ).
tcf(c_23944,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ leq(X1,hd(sk4))
| ~ leq(hd(sk4),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),sk4))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(sk4),tl(sk4)))) ),
inference(superposition,[status(thm)],[c_10766,c_432]) ).
tcf(c_23945,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ~ leq(X1,hd(sk7))
| ~ leq(hd(sk7),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),sk7))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(sk7),tl(sk7)))) ),
inference(superposition,[status(thm)],[c_10767,c_432]) ).
tcf(c_23946,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ~ leq(X1,hd(sk8))
| ~ leq(hd(sk8),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),sk8))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(sk8),tl(sk8)))) ),
inference(superposition,[status(thm)],[c_10768,c_432]) ).
tcf(c_23947,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ~ leq(X1,skaf83(sk4))
| ~ leq(skaf83(sk4),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),sk4))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(sk4),skaf82(sk4)))) ),
inference(superposition,[status(thm)],[c_10982,c_432]) ).
tcf(c_23948,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ~ leq(X1,skaf83(sk7))
| ~ leq(skaf83(sk7),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),sk7))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(sk7),skaf82(sk7)))) ),
inference(superposition,[status(thm)],[c_10983,c_432]) ).
tcf(c_23949,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ~ leq(X1,skaf83(sk8))
| ~ leq(skaf83(sk8),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),sk8))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(sk8),skaf82(sk8)))) ),
inference(superposition,[status(thm)],[c_10984,c_432]) ).
tcf(c_23950,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(sk6,X1)
| ~ leq(X1,sk6)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_23943,c_6475]) ).
tcf(c_23951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(sk6,X1)
| ~ leq(X1,sk6)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23950,c_6484,c_255]) ).
tcf(c_23959,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(sk5,X1)
| ~ leq(X1,sk5)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_23942,c_6473]) ).
tcf(c_23960,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(sk5,X1)
| ~ leq(X1,sk5)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23959,c_6485,c_255]) ).
tcf(c_23968,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(sk6,X1)
| ~ leq(X1,sk6)
| ~ cyclefreeP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_23935,c_6475]) ).
tcf(c_23969,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(sk6,X1)
| ~ leq(X1,sk6)
| ~ cyclefreeP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23968,c_6484,c_255]) ).
tcf(c_23977,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(sk5,X1)
| ~ leq(X1,sk5)
| ~ cyclefreeP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_23934,c_6473]) ).
tcf(c_23978,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(sk5,X1)
| ~ leq(X1,sk5)
| ~ cyclefreeP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23977,c_6485,c_255]) ).
tcf(c_23996,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(sk8))
| ~ leq(skaf83(sk8),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),sk8))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(sk8),skaf82(sk8)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23949,c_259,c_260]) ).
tcf(c_24005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(sk7))
| ~ leq(skaf83(sk7),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),sk7))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(sk7),skaf82(sk7)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23948,c_259,c_260]) ).
tcf(c_24014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(sk4))
| ~ leq(skaf83(sk4),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),sk4))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(sk4),skaf82(sk4)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23947,c_259,c_260]) ).
tcf(c_24053,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk8 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(sk8))
| ~ leq(skaf83(sk8),X1)
| ~ ssList(app(app(X0,sk8),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(sk8),skaf82(sk8))),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23941,c_259,c_260]) ).
tcf(c_24062,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk7 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(sk7))
| ~ leq(skaf83(sk7),X1)
| ~ ssList(app(app(X0,sk7),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(sk7),skaf82(sk7))),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23940,c_259,c_260]) ).
tcf(c_24071,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk4 = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(sk4))
| ~ leq(skaf83(sk4),X1)
| ~ ssList(app(app(X0,sk4),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(sk4),skaf82(sk4))),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23939,c_259,c_260]) ).
tcf(c_24153,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf45(X1,X2))
| ~ rearsegP(X0,skaf45(X1,X2)) ),
inference(superposition,[status(thm)],[c_21506,c_400]) ).
tcf(c_24154,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(skaf45(X0,X1),nil),nil) = skaf45(X0,X1) )
| ~ ssList(nil)
| ~ ssList(skaf45(X0,X1)) ),
inference(superposition,[status(thm)],[c_21506,c_378]) ).
tcf(c_24155,plain,
! [X0: $i,X1: $i] :
( ( skaf45(X0,X1) = nil )
| ~ ssList(nil)
| ~ ssList(skaf45(X0,X1))
| ~ rearsegP(nil,skaf45(X0,X1)) ),
inference(superposition,[status(thm)],[c_21506,c_375]) ).
tcf(c_24157,plain,
! [X0: $i,X1: $i] :
( ( skaf45(X0,X1) = nil )
| ~ rearsegP(nil,skaf45(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24155,c_255,c_298]) ).
tcf(c_24160,plain,
! [X0: $i,X1: $i] : app(skaf46(skaf45(X0,X1),nil),nil) = skaf45(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_24154,c_255,c_298]) ).
tcf(c_24164,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf43(X1,X2))
| ~ rearsegP(X0,skaf43(X1,X2)) ),
inference(superposition,[status(thm)],[c_22259,c_400]) ).
tcf(c_24165,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(skaf43(X0,X1),nil),nil) = skaf43(X0,X1) )
| ~ ssList(nil)
| ~ ssList(skaf43(X0,X1)) ),
inference(superposition,[status(thm)],[c_22259,c_378]) ).
tcf(c_24166,plain,
! [X0: $i,X1: $i] :
( ( skaf43(X0,X1) = nil )
| ~ ssList(nil)
| ~ ssList(skaf43(X0,X1))
| ~ rearsegP(nil,skaf43(X0,X1)) ),
inference(superposition,[status(thm)],[c_22259,c_375]) ).
tcf(c_24167,plain,
! [X0: $i,X1: $i] :
( ( skaf43(X0,X1) = nil )
| ~ rearsegP(nil,skaf43(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24166,c_255,c_299]) ).
tcf(c_24170,plain,
! [X0: $i,X1: $i] : app(skaf46(skaf43(X0,X1),nil),nil) = skaf43(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_24165,c_255,c_299]) ).
tcf(c_24174,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf42(X1,X2))
| ~ rearsegP(X0,skaf42(X1,X2)) ),
inference(superposition,[status(thm)],[c_23431,c_400]) ).
tcf(c_24175,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(skaf42(X0,X1),nil),nil) = skaf42(X0,X1) )
| ~ ssList(nil)
| ~ ssList(skaf42(X0,X1)) ),
inference(superposition,[status(thm)],[c_23431,c_378]) ).
tcf(c_24176,plain,
! [X0: $i,X1: $i] :
( ( skaf42(X0,X1) = nil )
| ~ ssList(nil)
| ~ ssList(skaf42(X0,X1))
| ~ rearsegP(nil,skaf42(X0,X1)) ),
inference(superposition,[status(thm)],[c_23431,c_375]) ).
tcf(c_24177,plain,
! [X0: $i,X1: $i] :
( ( skaf42(X0,X1) = nil )
| ~ rearsegP(nil,skaf42(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24176,c_255,c_300]) ).
tcf(c_24180,plain,
! [X0: $i,X1: $i] : app(skaf46(skaf42(X0,X1),nil),nil) = skaf42(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_24175,c_255,c_300]) ).
tcf(c_24201,plain,
( frontsegP(sk4,skaf46(sk8,sk8))
| ~ ssList(nil)
| ~ frontsegP(nil,sk8)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_15615,c_13542]) ).
tcf(c_24202,plain,
( frontsegP(sk7,skaf46(sk8,sk8))
| ~ ssList(nil)
| ~ frontsegP(nil,sk8)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_15615,c_13538]) ).
tcf(c_24204,plain,
( ( skaf46(sk8,sk8) = nil )
| ~ ssList(nil)
| ~ frontsegP(nil,sk8)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_15615,c_331]) ).
tcf(c_24205,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,skaf46(sk8,sk8))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,sk8)
| ~ frontsegP(X0,X1)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_15615,c_401]) ).
tcf(c_24206,plain,
! [X0: $i] :
( ( app(skaf46(sk8,sk8),skaf45(X0,skaf46(sk8,sk8))) = X0 )
| ~ ssList(X0)
| ~ frontsegP(X0,sk8)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_15615,c_379]) ).
tcf(c_24207,plain,
! [X0: $i] :
( ( skaf46(sk8,sk8) = X0 )
| ~ ssList(X0)
| ~ frontsegP(X0,sk8)
| ~ ssList(skaf46(sk8,sk8))
| ~ frontsegP(skaf46(sk8,sk8),X0) ),
inference(superposition,[status(thm)],[c_15615,c_376]) ).
tcf(c_24208,plain,
( frontsegP(iPr_def_13,skaf46(sk8,sk8))
| ~ ssList(sk7)
| ~ frontsegP(sk7,sk8)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_15615,c_13555]) ).
tcf(c_24210,plain,
( frontsegP(sk7,skaf46(sk8,sk8))
| ~ ssList(skaf46(sk8,sk8))
| ~ ssList(skaf46(sk7,sk7))
| ~ frontsegP(skaf46(sk7,sk7),sk8) ),
inference(superposition,[status(thm)],[c_15615,c_13634]) ).
tcf(c_24211,plain,
( frontsegP(sk4,skaf46(sk8,sk8))
| ~ ssList(skaf46(sk8,sk8))
| ~ ssList(skaf46(sk4,sk4))
| ~ frontsegP(skaf46(sk4,sk4),sk8) ),
inference(superposition,[status(thm)],[c_15615,c_13655]) ).
tcf(c_24212,plain,
( frontsegP(iPr_def_16,skaf46(sk8,sk8))
| ~ ssList(skaf46(iPr_def_16,sk8))
| ~ ssList(skaf46(sk8,sk8))
| ~ frontsegP(skaf46(iPr_def_16,sk8),sk8) ),
inference(superposition,[status(thm)],[c_15615,c_14081]) ).
tcf(c_24213,plain,
( frontsegP(iPr_def_13,skaf46(sk8,sk8))
| ~ frontsegP(sk7,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24208,c_6483,c_297]) ).
tcf(c_24216,plain,
( frontsegP(sk7,skaf46(sk8,sk8))
| ~ frontsegP(nil,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24202,c_255,c_297]) ).
tcf(c_24219,plain,
( frontsegP(sk4,skaf46(sk8,sk8))
| ~ frontsegP(nil,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24201,c_255,c_297]) ).
tcf(c_24222,plain,
( ( skaf46(sk8,sk8) = nil )
| ~ frontsegP(nil,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24204,c_255,c_297]) ).
tcf(c_24225,plain,
( frontsegP(iPr_def_16,skaf46(sk8,sk8))
| ~ frontsegP(skaf46(iPr_def_16,sk8),sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24212,c_297,c_297]) ).
tcf(c_24228,plain,
( frontsegP(sk4,skaf46(sk8,sk8))
| ~ frontsegP(skaf46(sk4,sk4),sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24211,c_297,c_297]) ).
tcf(c_24231,plain,
( frontsegP(sk7,skaf46(sk8,sk8))
| ~ frontsegP(skaf46(sk7,sk7),sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24210,c_297,c_297]) ).
tcf(c_24234,plain,
! [X0: $i] :
( ( skaf46(sk8,sk8) = X0 )
| ~ ssList(X0)
| ~ frontsegP(X0,sk8)
| ~ frontsegP(skaf46(sk8,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24207,c_297]) ).
tcf(c_24239,plain,
! [X0: $i] :
( ( app(skaf46(sk8,sk8),skaf45(X0,skaf46(sk8,sk8))) = X0 )
| ~ ssList(X0)
| ~ frontsegP(X0,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24206,c_297]) ).
tcf(c_24243,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,skaf46(sk8,sk8))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,sk8)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24205,c_297]) ).
tcf(c_24307,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk8,sk8))
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ frontsegP(sk7,sk8)
| ~ frontsegP(X0,iPr_def_13)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_24213,c_401]) ).
tcf(c_24308,plain,
( ( app(skaf46(sk8,sk8),skaf45(iPr_def_13,skaf46(sk8,sk8))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ frontsegP(sk7,sk8)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_24213,c_379]) ).
tcf(c_24309,plain,
( ( skaf46(sk8,sk8) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ frontsegP(sk7,sk8)
| ~ ssList(skaf46(sk8,sk8))
| ~ frontsegP(skaf46(sk8,sk8),iPr_def_13) ),
inference(superposition,[status(thm)],[c_24213,c_376]) ).
tcf(c_24310,plain,
( ( skaf46(sk8,sk8) = iPr_def_13 )
| ~ frontsegP(sk7,sk8)
| ~ frontsegP(skaf46(sk8,sk8),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24309,c_9527,c_297]) ).
tcf(c_24314,plain,
( ( app(skaf46(sk8,sk8),skaf45(iPr_def_13,skaf46(sk8,sk8))) = iPr_def_13 )
| ~ frontsegP(sk7,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24308,c_9527,c_297]) ).
tcf(c_24317,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk8,sk8))
| ~ ssList(X0)
| ~ frontsegP(sk7,sk8)
| ~ frontsegP(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24307,c_9527,c_297]) ).
tcf(c_24322,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),iPr_def_14)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_15745,c_307,c_15745]) ).
tcf(c_24330,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,X1))
| ~ frontsegP(X0,cons(sk6,X1)) ),
inference(superposition,[status(thm)],[c_24322,c_401]) ).
tcf(c_24331,plain,
! [X0: $i] :
( ( app(iPr_def_14,skaf45(cons(sk6,X0),iPr_def_14)) = cons(sk6,X0) )
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(cons(sk6,X0)) ),
inference(superposition,[status(thm)],[c_24322,c_379]) ).
tcf(c_24332,plain,
! [X0: $i] :
( ( cons(sk6,X0) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(cons(sk6,X0))
| ~ frontsegP(iPr_def_14,cons(sk6,X0)) ),
inference(superposition,[status(thm)],[c_24322,c_376]) ).
tcf(c_24333,plain,
! [X0: $i] :
( ( cons(sk6,X0) = iPr_def_14 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,X0))
| ~ frontsegP(iPr_def_14,cons(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24332,c_9488]) ).
tcf(c_24338,plain,
! [X0: $i] :
( ( app(iPr_def_14,skaf45(cons(sk6,X0),iPr_def_14)) = cons(sk6,X0) )
| ~ ssList(X0)
| ~ ssList(cons(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24331,c_9488]) ).
tcf(c_24342,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,iPr_def_14)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,X1))
| ~ frontsegP(X0,cons(sk6,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24330,c_9488]) ).
tcf(c_24351,plain,
! [X0: $i] :
( frontsegP(cons(sk5,X0),iPr_def_12)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_15749,c_307,c_15749]) ).
tcf(c_24359,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,X1))
| ~ frontsegP(X0,cons(sk5,X1)) ),
inference(superposition,[status(thm)],[c_24351,c_401]) ).
tcf(c_24360,plain,
! [X0: $i] :
( ( app(iPr_def_12,skaf45(cons(sk5,X0),iPr_def_12)) = cons(sk5,X0) )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(cons(sk5,X0)) ),
inference(superposition,[status(thm)],[c_24351,c_379]) ).
tcf(c_24361,plain,
! [X0: $i] :
( ( cons(sk5,X0) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(cons(sk5,X0))
| ~ frontsegP(iPr_def_12,cons(sk5,X0)) ),
inference(superposition,[status(thm)],[c_24351,c_376]) ).
tcf(c_24362,plain,
! [X0: $i] :
( ( cons(sk5,X0) = iPr_def_12 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,X0))
| ~ frontsegP(iPr_def_12,cons(sk5,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24361,c_9489]) ).
tcf(c_24367,plain,
! [X0: $i] :
( ( app(iPr_def_12,skaf45(cons(sk5,X0),iPr_def_12)) = cons(sk5,X0) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24360,c_9489]) ).
tcf(c_24371,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,iPr_def_12)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,X1))
| ~ frontsegP(X0,cons(sk5,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24359,c_9489]) ).
tcf(c_24407,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,cons(sk6,X0))
| ~ ssList(iPr_def_14)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ frontsegP(X1,iPr_def_14)
| ~ ssList(cons(sk6,X0)) ),
inference(superposition,[status(thm)],[c_15753,c_401]) ).
tcf(c_24408,plain,
! [X0: $i] :
( ( app(cons(sk6,X0),skaf45(iPr_def_14,cons(sk6,X0))) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sk6,X0)) ),
inference(superposition,[status(thm)],[c_15753,c_379]) ).
tcf(c_24409,plain,
! [X0: $i] :
( ( cons(sk6,X0) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sk6,X0))
| ~ frontsegP(cons(sk6,X0),iPr_def_14) ),
inference(superposition,[status(thm)],[c_15753,c_376]) ).
tcf(c_24410,plain,
! [X0: $i] :
( ( cons(sk6,X0) = iPr_def_14 )
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sk6,X0))
| ~ frontsegP(cons(sk6,X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24409,c_9488]) ).
tcf(c_24416,plain,
! [X0: $i] :
( ( app(cons(sk6,X0),skaf45(iPr_def_14,cons(sk6,X0))) = iPr_def_14 )
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24408,c_9488]) ).
tcf(c_24421,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,cons(sk6,X0))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ frontsegP(X1,iPr_def_14)
| ~ ssList(cons(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24407,c_9488]) ).
tcf(c_24437,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,cons(sk5,X0))
| ~ ssList(iPr_def_12)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ frontsegP(X1,iPr_def_12)
| ~ ssList(cons(sk5,X0)) ),
inference(superposition,[status(thm)],[c_15757,c_401]) ).
tcf(c_24438,plain,
! [X0: $i] :
( ( app(cons(sk5,X0),skaf45(iPr_def_12,cons(sk5,X0))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sk5,X0)) ),
inference(superposition,[status(thm)],[c_15757,c_379]) ).
tcf(c_24439,plain,
! [X0: $i] :
( ( cons(sk5,X0) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sk5,X0))
| ~ frontsegP(cons(sk5,X0),iPr_def_12) ),
inference(superposition,[status(thm)],[c_15757,c_376]) ).
tcf(c_24440,plain,
! [X0: $i] :
( ( cons(sk5,X0) = iPr_def_12 )
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sk5,X0))
| ~ frontsegP(cons(sk5,X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24439,c_9489]) ).
tcf(c_24446,plain,
! [X0: $i] :
( ( app(cons(sk5,X0),skaf45(iPr_def_12,cons(sk5,X0))) = iPr_def_12 )
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sk5,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24438,c_9489]) ).
tcf(c_24451,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,cons(sk5,X0))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ frontsegP(X1,iPr_def_12)
| ~ ssList(cons(sk5,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24437,c_9489]) ).
tcf(c_24466,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk8),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk9,sk8),sk8))
| ~ ssList(app(app(skaf46(cons(sk9,sk8),sk8),sk8),X0)) ),
inference(superposition,[status(thm)],[c_17382,c_420]) ).
tcf(c_24467,plain,
! [X0: $i] :
( ( skaf46(cons(sk9,sk8),sk8) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk9,sk8),sk8))
| ( app(X0,sk8) != cons(sk9,sk8) ) ),
inference(superposition,[status(thm)],[c_17382,c_398]) ).
tcf(c_24469,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf46(cons(sk9,sk8),sk8),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(cons(sk9,sk8),X0)
| ~ ssList(skaf46(cons(sk9,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_17382,c_405]) ).
tcf(c_24470,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(skaf46(cons(sk9,sk8),sk8))
| ( cons(sk9,sk8) != nil ) ),
inference(superposition,[status(thm)],[c_17382,c_366]) ).
tcf(c_24471,plain,
( ( skaf46(cons(sk9,sk8),sk8) = nil )
| ~ ssList(sk8)
| ~ ssList(skaf46(cons(sk9,sk8),sk8))
| ( cons(sk9,sk8) != nil ) ),
inference(superposition,[status(thm)],[c_17382,c_365]) ).
tcf(c_24472,plain,
( frontsegP(cons(sk9,sk8),skaf46(cons(sk9,sk8),sk8))
| ~ ssList(sk8)
| ~ ssList(skaf46(cons(sk9,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_17382,c_808]) ).
tcf(c_24474,plain,
! [X0: $i] :
( memberP(cons(sk9,sk8),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(skaf46(cons(sk9,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_17382,c_388]) ).
tcf(c_24475,plain,
! [X0: $i] :
( rearsegP(cons(sk9,sk8),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(skaf46(cons(sk9,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_17382,c_383]) ).
tcf(c_24476,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk9,sk8),sk8))
| ( app(skaf46(cons(sk9,sk8),sk8),X0) != cons(sk9,sk8) ) ),
inference(superposition,[status(thm)],[c_17382,c_397]) ).
tcf(c_24477,plain,
! [X0: $i] :
( memberP(cons(sk9,sk8),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(skaf46(cons(sk9,sk8),sk8))
| ~ memberP(skaf46(cons(sk9,sk8),sk8),X0) ),
inference(superposition,[status(thm)],[c_17382,c_387]) ).
tcf(c_24478,plain,
! [X0: $i] :
( frontsegP(cons(sk9,sk8),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk9,sk8),sk8))
| ~ frontsegP(skaf46(cons(sk9,sk8),sk8),X0) ),
inference(superposition,[status(thm)],[c_17382,c_384]) ).
tcf(c_24479,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk9,sk8),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(skaf46(cons(sk9,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_17382,c_419]) ).
tcf(c_24480,plain,
frontsegP(cons(sk9,sk8),skaf46(cons(sk9,sk8),sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_24472,c_6482,c_297]) ).
tcf(c_24481,plain,
( ( sk8 = nil )
| ( cons(sk9,sk8) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24470,c_6482,c_297]) ).
tcf(c_24484,plain,
! [X0: $i] :
( rearsegP(cons(sk9,sk8),X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24475,c_6482,c_297]) ).
tcf(c_24488,plain,
! [X0: $i] :
( memberP(cons(sk9,sk8),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24474,c_6482,c_297]) ).
tcf(c_24492,plain,
( ( skaf46(cons(sk9,sk8),sk8) = nil )
| ( cons(sk9,sk8) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24471,c_6482,c_297]) ).
tcf(c_24495,plain,
! [X0: $i] :
( frontsegP(cons(sk9,sk8),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(cons(sk9,sk8),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24478,c_6482,c_297]) ).
tcf(c_24499,plain,
! [X0: $i] :
( memberP(cons(sk9,sk8),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(cons(sk9,sk8),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24477,c_6482,c_297]) ).
tcf(c_24503,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk9,sk8),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24479,c_6482,c_297]) ).
tcf(c_24508,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf46(cons(sk9,sk8),sk8),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk9,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24469,c_6482,c_297]) ).
tcf(c_24513,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ( app(skaf46(cons(sk9,sk8),sk8),X0) != cons(sk9,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24476,c_6482,c_297]) ).
tcf(c_24517,plain,
! [X0: $i] :
( ( skaf46(cons(sk9,sk8),sk8) = X0 )
| ~ ssList(X0)
| ( app(X0,sk8) != cons(sk9,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24467,c_6482,c_297]) ).
tcf(c_24521,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk8),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk9,sk8),sk8))
| ~ ssList(app(cons(sk9,sk8),X0)) ),
inference(light_normalisation,[status(thm)],[c_24466,c_17382]) ).
tcf(c_24522,plain,
! [X0: $i] :
( segmentP(app(cons(sk9,sk8),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk9,sk8),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24521,c_6482,c_297]) ).
tcf(c_24537,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf82(X0),X1),skaf82(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf82(X0))
| ~ ssList(app(app(nil,skaf82(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9200,c_420]) ).
tcf(c_24538,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf82(X1))
| ( app(X0,skaf82(X1)) != skaf82(X1) ) ),
inference(superposition,[status(thm)],[c_9200,c_398]) ).
tcf(c_24543,plain,
! [X0: $i] :
( frontsegP(skaf82(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf82(X0)) ),
inference(superposition,[status(thm)],[c_9200,c_808]) ).
tcf(c_24544,plain,
! [X0: $i] :
( rearsegP(skaf82(X0),skaf82(X0))
| ~ ssList(nil)
| ~ ssList(skaf82(X0)) ),
inference(superposition,[status(thm)],[c_9200,c_807]) ).
tcf(c_24547,plain,
! [X0: $i,X1: $i] :
( ( skaf82(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf82(X1))
| ( app(nil,X0) != skaf82(X1) ) ),
inference(superposition,[status(thm)],[c_9200,c_397]) ).
tcf(c_24549,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf82(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf82(X0)) ),
inference(superposition,[status(thm)],[c_9200,c_384]) ).
tcf(c_24550,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf82(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf82(X0))
| ~ segmentP(skaf82(X0),X1) ),
inference(superposition,[status(thm)],[c_9200,c_419]) ).
tcf(c_24551,plain,
! [X0: $i] : frontsegP(skaf82(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_24543,c_255,c_260]) ).
tcf(c_24552,plain,
! [X0: $i] : rearsegP(skaf82(X0),skaf82(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_24544,c_255,c_260]) ).
tcf(c_24553,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf82(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24549,c_255,c_260]) ).
tcf(c_24557,plain,
! [X0: $i,X1: $i] :
( ( skaf82(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf82(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24547,c_255,c_260]) ).
tcf(c_24561,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf82(X1)) != skaf82(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24538,c_255,c_260]) ).
tcf(c_24565,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf82(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf82(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24550,c_255,c_260]) ).
tcf(c_24570,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf82(X0),X1),skaf82(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf82(X0))
| ~ ssList(app(skaf82(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_24537,c_9200]) ).
tcf(c_24571,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf82(X0),X1),skaf82(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf82(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24570,c_255,c_260]) ).
tcf(c_24579,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf82(X1))
| ~ frontsegP(X0,skaf82(X1)) ),
inference(superposition,[status(thm)],[c_24551,c_401]) ).
tcf(c_24580,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf82(X0),nil)) = skaf82(X0) )
| ~ ssList(nil)
| ~ ssList(skaf82(X0)) ),
inference(superposition,[status(thm)],[c_24551,c_379]) ).
tcf(c_24581,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf82(X0))
| ~ frontsegP(nil,skaf82(X0)) ),
inference(superposition,[status(thm)],[c_24551,c_376]) ).
tcf(c_24582,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ~ frontsegP(nil,skaf82(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24581,c_255,c_260]) ).
tcf(c_24585,plain,
! [X0: $i] : app(nil,skaf45(skaf82(X0),nil)) = skaf82(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_24580,c_255,c_260]) ).
tcf(c_24590,plain,
! [X0: $i] :
( ( app(skaf46(skaf82(X0),skaf82(X0)),skaf82(X0)) = skaf82(X0) )
| ~ ssList(skaf82(X0)) ),
inference(superposition,[status(thm)],[c_24552,c_378]) ).
tcf(c_24592,plain,
! [X0: $i] : app(skaf46(skaf82(X0),skaf82(X0)),skaf82(X0)) = skaf82(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_24590,c_260]) ).
tcf(c_24637,plain,
( singletonP(iPr_def_12)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_6473,c_9874]) ).
tcf(c_24638,plain,
( singletonP(iPr_def_14)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_6475,c_9874]) ).
tcf(c_24639,plain,
! [X0: $i] :
( ( cons(skaf44(cons(X0,nil)),nil) = cons(X0,nil) )
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[status(thm)],[c_9874,c_348]) ).
tcf(c_24640,plain,
singletonP(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_24638,c_6484]) ).
tcf(c_24641,plain,
singletonP(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_24637,c_6485]) ).
tcf(c_24645,plain,
( ( cons(skaf44(iPr_def_14),nil) = iPr_def_14 )
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_24640,c_348]) ).
tcf(c_24646,plain,
cons(skaf44(iPr_def_14),nil) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_24645,c_9488]) ).
tcf(c_24647,plain,
( ( cons(skaf44(iPr_def_12),nil) = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_24641,c_348]) ).
tcf(c_24648,plain,
cons(skaf44(iPr_def_12),nil) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_24647,c_9489]) ).
tcf(c_24653,plain,
frontsegP(iPr_def_15,sk7),
inference(global_subsumption_just,[status(thm)],[c_17418,c_9461,c_9443,c_9489,c_9488,c_17418]) ).
tcf(c_24655,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(iPr_def_15)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_24653,c_401]) ).
tcf(c_24656,plain,
( ( app(sk7,skaf45(iPr_def_15,sk7)) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_24653,c_379]) ).
tcf(c_24657,plain,
( ( sk7 = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(sk7)
| ~ frontsegP(sk7,iPr_def_15) ),
inference(superposition,[status(thm)],[c_24653,c_376]) ).
tcf(c_24658,plain,
( ( sk7 = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ frontsegP(sk7,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24657,c_6483]) ).
tcf(c_24662,plain,
( ( app(sk7,skaf45(iPr_def_15,sk7)) = iPr_def_15 )
| ~ ssList(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24656,c_6483]) ).
tcf(c_24665,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24655,c_6483]) ).
tcf(c_24671,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,iPr_def_16) = nil )
| ( cons(sk5,iPr_def_16) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,iPr_def_16))
| ( tl(X0) != iPr_def_16 )
| ( hd(cons(sk5,iPr_def_16)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10215,c_424]) ).
tcf(c_24674,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,iPr_def_16) = nil )
| ( cons(sk5,iPr_def_16) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,iPr_def_16))
| ( hd(X0) != sk5 )
| ( tl(X0) != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_24671,c_10683]) ).
tcf(c_24682,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk9,sk8),sk8))
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk8))
| ~ frontsegP(X0,cons(sk9,sk8))
| ~ ssList(skaf46(cons(sk9,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_24480,c_401]) ).
tcf(c_24683,plain,
( ( app(skaf46(cons(sk9,sk8),sk8),skaf45(cons(sk9,sk8),skaf46(cons(sk9,sk8),sk8))) = cons(sk9,sk8) )
| ~ ssList(cons(sk9,sk8))
| ~ ssList(skaf46(cons(sk9,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_24480,c_379]) ).
tcf(c_24684,plain,
( ( skaf46(cons(sk9,sk8),sk8) = cons(sk9,sk8) )
| ~ ssList(cons(sk9,sk8))
| ~ ssList(skaf46(cons(sk9,sk8),sk8))
| ~ frontsegP(skaf46(cons(sk9,sk8),sk8),cons(sk9,sk8)) ),
inference(superposition,[status(thm)],[c_24480,c_376]) ).
tcf(c_24685,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk9,sk8),sk8))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk9,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24682,c_15373,c_297]) ).
tcf(c_24689,plain,
( ( skaf46(cons(sk9,sk8),sk8) = cons(sk9,sk8) )
| ~ frontsegP(skaf46(cons(sk9,sk8),sk8),cons(sk9,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24684,c_15373,c_297]) ).
tcf(c_24692,plain,
app(skaf46(cons(sk9,sk8),sk8),skaf45(cons(sk9,sk8),skaf46(cons(sk9,sk8),sk8))) = cons(sk9,sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_24683,c_15373,c_297]) ).
tcf(c_24724,plain,
( ( sk7 = iPr_def_15 )
| ~ frontsegP(sk7,iPr_def_15) ),
inference(global_subsumption_just,[status(thm)],[c_24658,c_9461,c_9443,c_9489,c_9488,c_24658]) ).
tcf(c_24730,plain,
app(sk7,skaf45(iPr_def_15,sk7)) = iPr_def_15,
inference(global_subsumption_just,[status(thm)],[c_24662,c_9461,c_9443,c_9489,c_9488,c_24662]) ).
tcf(c_24733,plain,
( ssList(iPr_def_15)
| ~ ssList(sk7)
| ~ ssList(skaf45(iPr_def_15,sk7)) ),
inference(superposition,[status(thm)],[c_24730,c_332]) ).
tcf(c_24734,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),skaf45(iPr_def_15,sk7))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_15,sk7))
| ~ ssList(app(app(sk7,skaf45(iPr_def_15,sk7)),X0)) ),
inference(superposition,[status(thm)],[c_24730,c_420]) ).
tcf(c_24735,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_15,sk7))
| ( app(X0,skaf45(iPr_def_15,sk7)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24730,c_398]) ).
tcf(c_24737,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf45(iPr_def_15,sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(iPr_def_15,X0)
| ~ ssList(skaf45(iPr_def_15,sk7)) ),
inference(superposition,[status(thm)],[c_24730,c_405]) ).
tcf(c_24741,plain,
( rearsegP(iPr_def_15,skaf45(iPr_def_15,sk7))
| ~ ssList(sk7)
| ~ ssList(skaf45(iPr_def_15,sk7)) ),
inference(superposition,[status(thm)],[c_24730,c_807]) ).
tcf(c_24742,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf45(iPr_def_15,sk7))
| ~ memberP(skaf45(iPr_def_15,sk7),X0) ),
inference(superposition,[status(thm)],[c_24730,c_388]) ).
tcf(c_24743,plain,
! [X0: $i] :
( rearsegP(iPr_def_15,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_15,sk7))
| ~ rearsegP(skaf45(iPr_def_15,sk7),X0) ),
inference(superposition,[status(thm)],[c_24730,c_383]) ).
tcf(c_24744,plain,
! [X0: $i] :
( ( skaf45(iPr_def_15,sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_15,sk7))
| ( app(sk7,X0) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24730,c_397]) ).
tcf(c_24745,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf45(iPr_def_15,sk7)) ),
inference(superposition,[status(thm)],[c_24730,c_387]) ).
tcf(c_24746,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ ssList(skaf45(iPr_def_15,sk7)) ),
inference(superposition,[status(thm)],[c_24730,c_384]) ).
tcf(c_24747,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_15,X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_15,sk7))
| ~ segmentP(skaf45(iPr_def_15,sk7),X0) ),
inference(superposition,[status(thm)],[c_24730,c_419]) ).
tcf(c_24748,plain,
ssList(iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_24733,c_6483,c_298]) ).
tcf(c_24749,plain,
rearsegP(iPr_def_15,skaf45(iPr_def_15,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_24741,c_6483,c_298]) ).
tcf(c_24750,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ frontsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24746,c_6483,c_298]) ).
tcf(c_24754,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24745,c_6483,c_298]) ).
tcf(c_24758,plain,
! [X0: $i] :
( rearsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(iPr_def_15,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24743,c_6483,c_298]) ).
tcf(c_24762,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(iPr_def_15,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24742,c_6483,c_298]) ).
tcf(c_24766,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf45(iPr_def_15,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24737,c_6483,c_298]) ).
tcf(c_24771,plain,
! [X0: $i] :
( ( skaf45(iPr_def_15,sk7) = X0 )
| ~ ssList(X0)
| ( app(sk7,X0) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24744,c_6483,c_298]) ).
tcf(c_24775,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(X0,skaf45(iPr_def_15,sk7)) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24735,c_6483,c_298]) ).
tcf(c_24779,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_15,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(iPr_def_15,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24747,c_6483,c_298]) ).
tcf(c_24784,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),skaf45(iPr_def_15,sk7))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_15,sk7))
| ~ ssList(app(iPr_def_15,X0)) ),
inference(light_normalisation,[status(thm)],[c_24734,c_24730]) ).
tcf(c_24785,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),skaf45(iPr_def_15,sk7))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24784,c_6483,c_298]) ).
tcf(c_24892,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,iPr_def_15)) = app(cons(X1,X0),iPr_def_15) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_24748,c_404]) ).
tcf(c_24893,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,iPr_def_15),X0) = app(X1,app(iPr_def_15,X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_24748,c_396]) ).
tcf(c_24894,plain,
! [X0: $i] :
( ( nil = iPr_def_15 )
| ( app(tl(iPr_def_15),X0) = tl(app(iPr_def_15,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_24748,c_380]) ).
tcf(c_24895,plain,
! [X0: $i] :
( ( nil = iPr_def_15 )
| ( hd(app(iPr_def_15,X0)) = hd(iPr_def_15) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_24748,c_370]) ).
tcf(c_24896,plain,
( cyclefreeP(iPr_def_15)
| ( app(app(skaf51(iPr_def_15),cons(skaf49(iPr_def_15),skaf52(iPr_def_15))),cons(skaf50(iPr_def_15),skaf53(iPr_def_15))) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24748,c_414]) ).
tcf(c_24897,plain,
( totalorderP(iPr_def_15)
| ( app(app(skaf56(iPr_def_15),cons(skaf54(iPr_def_15),skaf57(iPr_def_15))),cons(skaf55(iPr_def_15),skaf58(iPr_def_15))) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24748,c_413]) ).
tcf(c_24898,plain,
( strictorderP(iPr_def_15)
| ( app(app(skaf61(iPr_def_15),cons(skaf59(iPr_def_15),skaf62(iPr_def_15))),cons(skaf60(iPr_def_15),skaf63(iPr_def_15))) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24748,c_412]) ).
tcf(c_24899,plain,
( totalorderedP(iPr_def_15)
| ( app(app(skaf66(iPr_def_15),cons(skaf64(iPr_def_15),skaf67(iPr_def_15))),cons(skaf65(iPr_def_15),skaf68(iPr_def_15))) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24748,c_411]) ).
tcf(c_24900,plain,
( strictorderedP(iPr_def_15)
| ( app(app(skaf71(iPr_def_15),cons(skaf69(iPr_def_15),skaf72(iPr_def_15))),cons(skaf70(iPr_def_15),skaf73(iPr_def_15))) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24748,c_410]) ).
tcf(c_24901,plain,
( duplicatefreeP(iPr_def_15)
| ( app(app(skaf75(iPr_def_15),cons(skaf74(iPr_def_15),skaf76(iPr_def_15))),cons(skaf74(iPr_def_15),skaf77(iPr_def_15))) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24748,c_409]) ).
tcf(c_24902,plain,
( equalelemsP(iPr_def_15)
| ( app(skaf80(iPr_def_15),cons(skaf78(iPr_def_15),cons(skaf79(iPr_def_15),skaf81(iPr_def_15)))) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24748,c_389]) ).
tcf(c_24903,plain,
app(cons(sk9,nil),iPr_def_15) = cons(sk9,iPr_def_15),
inference(superposition,[status(thm)],[c_24748,c_11506]) ).
tcf(c_24904,plain,
hd(cons(sk9,iPr_def_15)) = sk9,
inference(superposition,[status(thm)],[c_24748,c_10018]) ).
tcf(c_24905,plain,
hd(cons(sk6,iPr_def_15)) = sk6,
inference(superposition,[status(thm)],[c_24748,c_10017]) ).
tcf(c_24906,plain,
( ( nil = iPr_def_15 )
| ( cons(skaf83(iPr_def_15),skaf82(iPr_def_15)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24748,c_356]) ).
tcf(c_24907,plain,
( ( nil = iPr_def_15 )
| ( cons(hd(iPr_def_15),tl(iPr_def_15)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24748,c_351]) ).
tcf(c_24908,plain,
hd(cons(sk5,iPr_def_15)) = sk5,
inference(superposition,[status(thm)],[c_24748,c_10016]) ).
tcf(c_24909,plain,
tl(cons(sk9,iPr_def_15)) = iPr_def_15,
inference(superposition,[status(thm)],[c_24748,c_9888]) ).
tcf(c_24910,plain,
tl(cons(sk6,iPr_def_15)) = iPr_def_15,
inference(superposition,[status(thm)],[c_24748,c_9887]) ).
tcf(c_24911,plain,
tl(cons(sk5,iPr_def_15)) = iPr_def_15,
inference(superposition,[status(thm)],[c_24748,c_9886]) ).
tcf(c_24912,plain,
( duplicatefreeP(iPr_def_15)
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_24748,c_6471]) ).
tcf(c_24913,plain,
app(nil,iPr_def_15) = iPr_def_15,
inference(superposition,[status(thm)],[c_24748,c_321]) ).
tcf(c_24914,plain,
app(iPr_def_15,nil) = iPr_def_15,
inference(superposition,[status(thm)],[c_24748,c_320]) ).
tcf(c_24917,plain,
cons(hd(iPr_def_15),tl(iPr_def_15)) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_24907,c_11686]) ).
tcf(c_24918,plain,
cons(skaf83(iPr_def_15),skaf82(iPr_def_15)) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_24906,c_11686]) ).
tcf(c_24919,plain,
! [X0: $i] :
( ( hd(app(iPr_def_15,X0)) = hd(iPr_def_15) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24895,c_11686]) ).
tcf(c_24924,plain,
! [X0: $i] :
( ( app(tl(iPr_def_15),X0) = tl(app(iPr_def_15,X0)) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24894,c_11686]) ).
tcf(c_24949,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_15,sk7))
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_15)
| ~ ssList(skaf45(iPr_def_15,sk7)) ),
inference(superposition,[status(thm)],[c_24749,c_400]) ).
tcf(c_24950,plain,
( ( app(skaf46(iPr_def_15,skaf45(iPr_def_15,sk7)),skaf45(iPr_def_15,sk7)) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(skaf45(iPr_def_15,sk7)) ),
inference(superposition,[status(thm)],[c_24749,c_378]) ).
tcf(c_24951,plain,
( ( skaf45(iPr_def_15,sk7) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(skaf45(iPr_def_15,sk7))
| ~ rearsegP(skaf45(iPr_def_15,sk7),iPr_def_15) ),
inference(superposition,[status(thm)],[c_24749,c_375]) ).
tcf(c_24952,plain,
( ( skaf45(iPr_def_15,sk7) = iPr_def_15 )
| ~ rearsegP(skaf45(iPr_def_15,sk7),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24951,c_24748,c_298]) ).
tcf(c_24955,plain,
app(skaf46(iPr_def_15,skaf45(iPr_def_15,sk7)),skaf45(iPr_def_15,sk7)) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_24950,c_24748,c_298]) ).
tcf(c_24956,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_15,sk7))
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24949,c_24748,c_298]) ).
tcf(c_24970,plain,
( frontsegP(iPr_def_15,nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9813,c_24750]) ).
tcf(c_24971,plain,
( frontsegP(iPr_def_15,skaf46(sk7,sk7))
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_13630,c_24750]) ).
tcf(c_24972,plain,
( frontsegP(iPr_def_15,skaf46(sk8,sk8))
| ~ ssList(sk7)
| ~ frontsegP(sk7,sk8)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_15615,c_24750]) ).
tcf(c_24974,plain,
( frontsegP(iPr_def_15,skaf46(sk4,sk4))
| ~ ssList(sk7)
| ~ frontsegP(sk7,sk4)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_15607,c_24750]) ).
tcf(c_24975,plain,
frontsegP(iPr_def_15,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_24970,c_255]) ).
tcf(c_24976,plain,
frontsegP(iPr_def_15,skaf46(sk7,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_24971,c_297]) ).
tcf(c_24977,plain,
( frontsegP(iPr_def_15,skaf46(sk4,sk4))
| ~ frontsegP(sk7,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24974,c_6483,c_297]) ).
tcf(c_24980,plain,
( frontsegP(iPr_def_15,skaf46(sk8,sk8))
| ~ frontsegP(sk7,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24972,c_6483,c_297]) ).
tcf(c_24987,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk4,sk4))
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ frontsegP(sk7,sk4)
| ~ frontsegP(X0,iPr_def_15)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_24977,c_401]) ).
tcf(c_24988,plain,
( ( app(skaf46(sk4,sk4),skaf45(iPr_def_15,skaf46(sk4,sk4))) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ frontsegP(sk7,sk4)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_24977,c_379]) ).
tcf(c_24989,plain,
( ( skaf46(sk4,sk4) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ frontsegP(sk7,sk4)
| ~ ssList(skaf46(sk4,sk4))
| ~ frontsegP(skaf46(sk4,sk4),iPr_def_15) ),
inference(superposition,[status(thm)],[c_24977,c_376]) ).
tcf(c_24990,plain,
( ( skaf46(sk4,sk4) = iPr_def_15 )
| ~ frontsegP(sk7,sk4)
| ~ frontsegP(skaf46(sk4,sk4),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24989,c_24748,c_297]) ).
tcf(c_24994,plain,
( ( app(skaf46(sk4,sk4),skaf45(iPr_def_15,skaf46(sk4,sk4))) = iPr_def_15 )
| ~ frontsegP(sk7,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24988,c_24748,c_297]) ).
tcf(c_24997,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk4,sk4))
| ~ ssList(X0)
| ~ frontsegP(sk7,sk4)
| ~ frontsegP(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24987,c_24748,c_297]) ).
tcf(c_25005,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf81(X0),X1),skaf81(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf81(X0))
| ~ ssList(app(app(nil,skaf81(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9201,c_420]) ).
tcf(c_25006,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf81(X1))
| ( app(X0,skaf81(X1)) != skaf81(X1) ) ),
inference(superposition,[status(thm)],[c_9201,c_398]) ).
tcf(c_25011,plain,
! [X0: $i] :
( frontsegP(skaf81(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf81(X0)) ),
inference(superposition,[status(thm)],[c_9201,c_808]) ).
tcf(c_25012,plain,
! [X0: $i] :
( rearsegP(skaf81(X0),skaf81(X0))
| ~ ssList(nil)
| ~ ssList(skaf81(X0)) ),
inference(superposition,[status(thm)],[c_9201,c_807]) ).
tcf(c_25015,plain,
! [X0: $i,X1: $i] :
( ( skaf81(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf81(X1))
| ( app(nil,X0) != skaf81(X1) ) ),
inference(superposition,[status(thm)],[c_9201,c_397]) ).
tcf(c_25017,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf81(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf81(X0)) ),
inference(superposition,[status(thm)],[c_9201,c_384]) ).
tcf(c_25018,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf81(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf81(X0))
| ~ segmentP(skaf81(X0),X1) ),
inference(superposition,[status(thm)],[c_9201,c_419]) ).
tcf(c_25019,plain,
! [X0: $i] : frontsegP(skaf81(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_25011,c_255,c_261]) ).
tcf(c_25020,plain,
! [X0: $i] : rearsegP(skaf81(X0),skaf81(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_25012,c_255,c_261]) ).
tcf(c_25021,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf81(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25017,c_255,c_261]) ).
tcf(c_25025,plain,
! [X0: $i,X1: $i] :
( ( skaf81(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf81(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25015,c_255,c_261]) ).
tcf(c_25029,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf81(X1)) != skaf81(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25006,c_255,c_261]) ).
tcf(c_25033,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf81(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf81(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25018,c_255,c_261]) ).
tcf(c_25038,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf81(X0),X1),skaf81(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf81(X0))
| ~ ssList(app(skaf81(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_25005,c_9201]) ).
tcf(c_25039,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf81(X0),X1),skaf81(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf81(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25038,c_255,c_261]) ).
tcf(c_25047,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf81(X1))
| ~ frontsegP(X0,skaf81(X1)) ),
inference(superposition,[status(thm)],[c_25019,c_401]) ).
tcf(c_25048,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf81(X0),nil)) = skaf81(X0) )
| ~ ssList(nil)
| ~ ssList(skaf81(X0)) ),
inference(superposition,[status(thm)],[c_25019,c_379]) ).
tcf(c_25049,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf81(X0))
| ~ frontsegP(nil,skaf81(X0)) ),
inference(superposition,[status(thm)],[c_25019,c_376]) ).
tcf(c_25050,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ~ frontsegP(nil,skaf81(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25049,c_255,c_261]) ).
tcf(c_25053,plain,
! [X0: $i] : app(nil,skaf45(skaf81(X0),nil)) = skaf81(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_25048,c_255,c_261]) ).
tcf(c_25058,plain,
! [X0: $i] :
( ( app(skaf46(skaf81(X0),skaf81(X0)),skaf81(X0)) = skaf81(X0) )
| ~ ssList(skaf81(X0)) ),
inference(superposition,[status(thm)],[c_25020,c_378]) ).
tcf(c_25060,plain,
! [X0: $i] : app(skaf46(skaf81(X0),skaf81(X0)),skaf81(X0)) = skaf81(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_25058,c_261]) ).
tcf(c_25064,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),iPr_def_15)
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,iPr_def_15),X0)) ),
inference(superposition,[status(thm)],[c_24913,c_420]) ).
tcf(c_25065,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,iPr_def_15) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24913,c_398]) ).
tcf(c_25071,plain,
( rearsegP(iPr_def_15,iPr_def_15)
| ~ ssList(iPr_def_15)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_24913,c_807]) ).
tcf(c_25074,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24913,c_397]) ).
tcf(c_25076,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,X0)
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_24913,c_384]) ).
tcf(c_25077,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_15,X1),X0)
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_24913,c_419]) ).
tcf(c_25078,plain,
rearsegP(iPr_def_15,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_25071,c_24748,c_255]) ).
tcf(c_25079,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25076,c_24748,c_255]) ).
tcf(c_25083,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25074,c_24748,c_255]) ).
tcf(c_25087,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_15) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25065,c_24748,c_255]) ).
tcf(c_25091,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_15,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25077,c_24748,c_255]) ).
tcf(c_25096,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),iPr_def_15)
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0)) ),
inference(light_normalisation,[status(thm)],[c_25064,c_24913]) ).
tcf(c_25097,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),iPr_def_15)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25096,c_24748,c_255]) ).
tcf(c_25105,plain,
( ( app(skaf46(iPr_def_15,iPr_def_15),iPr_def_15) = iPr_def_15 )
| ~ ssList(iPr_def_15) ),
inference(superposition,[status(thm)],[c_25078,c_378]) ).
tcf(c_25107,plain,
app(skaf46(iPr_def_15,iPr_def_15),iPr_def_15) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_25105,c_24748]) ).
tcf(c_25108,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_24975,c_401]) ).
tcf(c_25109,plain,
( ( app(nil,skaf45(iPr_def_15,nil)) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_24975,c_379]) ).
tcf(c_25110,plain,
( ( nil = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_15) ),
inference(superposition,[status(thm)],[c_24975,c_376]) ).
tcf(c_25111,plain,
~ frontsegP(nil,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_25110,c_11686,c_24748,c_255]) ).
tcf(c_25112,plain,
app(nil,skaf45(iPr_def_15,nil)) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_25109,c_24748,c_255]) ).
tcf(c_25118,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk7,sk7))
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_15)
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_24976,c_401]) ).
tcf(c_25119,plain,
( ( app(skaf46(sk7,sk7),skaf45(iPr_def_15,skaf46(sk7,sk7))) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_24976,c_379]) ).
tcf(c_25120,plain,
( ( skaf46(sk7,sk7) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(skaf46(sk7,sk7))
| ~ frontsegP(skaf46(sk7,sk7),iPr_def_15) ),
inference(superposition,[status(thm)],[c_24976,c_376]) ).
tcf(c_25121,plain,
( ( skaf46(sk7,sk7) = iPr_def_15 )
| ~ frontsegP(skaf46(sk7,sk7),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25120,c_24748,c_297]) ).
tcf(c_25124,plain,
app(skaf46(sk7,sk7),skaf45(iPr_def_15,skaf46(sk7,sk7))) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_25119,c_24748,c_297]) ).
tcf(c_25125,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk7,sk7))
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25118,c_24748,c_297]) ).
tcf(c_25133,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk8,sk8))
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ frontsegP(sk7,sk8)
| ~ frontsegP(X0,iPr_def_15)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_24980,c_401]) ).
tcf(c_25134,plain,
( ( app(skaf46(sk8,sk8),skaf45(iPr_def_15,skaf46(sk8,sk8))) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ frontsegP(sk7,sk8)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_24980,c_379]) ).
tcf(c_25135,plain,
( ( skaf46(sk8,sk8) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ frontsegP(sk7,sk8)
| ~ ssList(skaf46(sk8,sk8))
| ~ frontsegP(skaf46(sk8,sk8),iPr_def_15) ),
inference(superposition,[status(thm)],[c_24980,c_376]) ).
tcf(c_25136,plain,
( ( skaf46(sk8,sk8) = iPr_def_15 )
| ~ frontsegP(sk7,sk8)
| ~ frontsegP(skaf46(sk8,sk8),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25135,c_24748,c_297]) ).
tcf(c_25140,plain,
( ( app(skaf46(sk8,sk8),skaf45(iPr_def_15,skaf46(sk8,sk8))) = iPr_def_15 )
| ~ frontsegP(sk7,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25134,c_24748,c_297]) ).
tcf(c_25143,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk8,sk8))
| ~ ssList(X0)
| ~ frontsegP(sk7,sk8)
| ~ frontsegP(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25133,c_24748,c_297]) ).
tcf(c_25161,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk8))
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk9,sk8)) ),
inference(superposition,[status(thm)],[c_383,c_17383]) ).
tcf(c_25162,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk9,sk8)),sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk9,sk8))
| ~ ssList(app(X0,cons(sk9,sk8))) ),
inference(superposition,[status(thm)],[c_807,c_17383]) ).
tcf(c_25163,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk9,sk8)),sk8)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sk9,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25162,c_15373]) ).
tcf(c_25167,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk9,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25161,c_15373]) ).
tcf(c_25177,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),cons(sk5,skaf43(sk5,iPr_def_13)))
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13)))
| ~ ssList(app(app(skaf42(iPr_def_13,sk5),cons(sk5,skaf43(sk5,iPr_def_13))),X0)) ),
inference(superposition,[status(thm)],[c_20088,c_420]) ).
tcf(c_25178,plain,
! [X0: $i] :
( ( skaf42(iPr_def_13,sk5) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13)))
| ( app(X0,cons(sk5,skaf43(sk5,iPr_def_13))) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_20088,c_398]) ).
tcf(c_25180,plain,
! [X0: $i] :
( memberP(skaf42(iPr_def_13,sk5),X0)
| memberP(cons(sk5,skaf43(sk5,iPr_def_13)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_20088,c_405]) ).
tcf(c_25183,plain,
( frontsegP(iPr_def_13,skaf42(iPr_def_13,sk5))
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_20088,c_808]) ).
tcf(c_25184,plain,
( rearsegP(iPr_def_13,cons(sk5,skaf43(sk5,iPr_def_13)))
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_20088,c_807]) ).
tcf(c_25185,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13)))
| ~ memberP(cons(sk5,skaf43(sk5,iPr_def_13)),X0) ),
inference(superposition,[status(thm)],[c_20088,c_388]) ).
tcf(c_25186,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13)))
| ~ rearsegP(cons(sk5,skaf43(sk5,iPr_def_13)),X0) ),
inference(superposition,[status(thm)],[c_20088,c_383]) ).
tcf(c_25187,plain,
! [X0: $i] :
( ( cons(sk5,skaf43(sk5,iPr_def_13)) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13)))
| ( app(skaf42(iPr_def_13,sk5),X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_20088,c_397]) ).
tcf(c_25188,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ memberP(skaf42(iPr_def_13,sk5),X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_20088,c_387]) ).
tcf(c_25189,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ frontsegP(skaf42(iPr_def_13,sk5),X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_20088,c_384]) ).
tcf(c_25190,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13)))
| ~ segmentP(cons(sk5,skaf43(sk5,iPr_def_13)),X0) ),
inference(superposition,[status(thm)],[c_20088,c_419]) ).
tcf(c_25191,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk5,X0)
| ~ leq(X0,sk5)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(skaf43(sk5,iPr_def_13))
| ~ ssList(app(iPr_def_13,cons(X0,X1)))
| ~ cyclefreeP(app(app(skaf42(iPr_def_13,sk5),cons(sk5,skaf43(sk5,iPr_def_13))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_20088,c_432]) ).
tcf(c_25192,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| leq(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(skaf43(sk5,iPr_def_13))
| ~ ssList(app(iPr_def_13,cons(X0,X1)))
| ~ totalorderP(app(app(skaf42(iPr_def_13,sk5),cons(sk5,skaf43(sk5,iPr_def_13))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_20088,c_431]) ).
tcf(c_25193,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| lt(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(skaf43(sk5,iPr_def_13))
| ~ ssList(app(iPr_def_13,cons(X0,X1)))
| ~ strictorderP(app(app(skaf42(iPr_def_13,sk5),cons(sk5,skaf43(sk5,iPr_def_13))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_20088,c_430]) ).
tcf(c_25194,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(skaf43(sk5,iPr_def_13))
| ~ ssList(app(iPr_def_13,cons(X0,X1)))
| ~ totalorderedP(app(app(skaf42(iPr_def_13,sk5),cons(sk5,skaf43(sk5,iPr_def_13))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_20088,c_429]) ).
tcf(c_25195,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(skaf43(sk5,iPr_def_13))
| ~ ssList(app(iPr_def_13,cons(X0,X1)))
| ~ strictorderedP(app(app(skaf42(iPr_def_13,sk5),cons(sk5,skaf43(sk5,iPr_def_13))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_20088,c_428]) ).
tcf(c_25196,plain,
! [X0: $i] :
( ~ ssItem(sk5)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(skaf43(sk5,iPr_def_13))
| ~ ssList(app(iPr_def_13,cons(sk5,X0)))
| ~ duplicatefreeP(app(app(skaf42(iPr_def_13,sk5),cons(sk5,skaf43(sk5,iPr_def_13))),cons(sk5,X0))) ),
inference(superposition,[status(thm)],[c_20088,c_426]) ).
tcf(c_25198,plain,
( frontsegP(iPr_def_13,skaf42(iPr_def_13,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25183,c_300]) ).
tcf(c_25201,plain,
( rearsegP(iPr_def_13,cons(sk5,skaf43(sk5,iPr_def_13)))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25184,c_300]) ).
tcf(c_25204,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf42(iPr_def_13,sk5),X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25189,c_300]) ).
tcf(c_25209,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(skaf42(iPr_def_13,sk5),X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25188,c_300]) ).
tcf(c_25214,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13)))
| ~ rearsegP(cons(sk5,skaf43(sk5,iPr_def_13)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25186,c_300]) ).
tcf(c_25219,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13)))
| ~ memberP(cons(sk5,skaf43(sk5,iPr_def_13)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25185,c_300]) ).
tcf(c_25224,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13)))
| ~ segmentP(cons(sk5,skaf43(sk5,iPr_def_13)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25190,c_300]) ).
tcf(c_25230,plain,
! [X0: $i] :
( memberP(skaf42(iPr_def_13,sk5),X0)
| memberP(cons(sk5,skaf43(sk5,iPr_def_13)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25180,c_300]) ).
tcf(c_25236,plain,
! [X0: $i] :
( ( cons(sk5,skaf43(sk5,iPr_def_13)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13)))
| ( app(skaf42(iPr_def_13,sk5),X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25187,c_300]) ).
tcf(c_25241,plain,
! [X0: $i] :
( ( skaf42(iPr_def_13,sk5) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13)))
| ( app(X0,cons(sk5,skaf43(sk5,iPr_def_13))) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25178,c_300]) ).
tcf(c_25246,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),cons(sk5,skaf43(sk5,iPr_def_13)))
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13))) ),
inference(light_normalisation,[status(thm)],[c_25177,c_20088]) ).
tcf(c_25247,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),cons(sk5,skaf43(sk5,iPr_def_13)))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_13))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25246,c_300]) ).
tcf(c_25252,plain,
! [X0: $i] :
( ~ ssItem(sk5)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(skaf43(sk5,iPr_def_13))
| ~ duplicatefreeP(app(iPr_def_13,cons(sk5,X0)))
| ~ ssList(app(iPr_def_13,cons(sk5,X0))) ),
inference(light_normalisation,[status(thm)],[c_25196,c_20088]) ).
tcf(c_25253,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(iPr_def_13,cons(sk5,X0)))
| ~ ssList(app(iPr_def_13,cons(sk5,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25252,c_6485,c_300,c_299]) ).
tcf(c_25257,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(skaf43(sk5,iPr_def_13))
| ~ strictorderedP(app(iPr_def_13,cons(X0,X1)))
| ~ ssList(app(iPr_def_13,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_25195,c_20088]) ).
tcf(c_25258,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(app(iPr_def_13,cons(X0,X1)))
| ~ ssList(app(iPr_def_13,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25257,c_6485,c_300,c_299]) ).
tcf(c_25264,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(skaf43(sk5,iPr_def_13))
| ~ totalorderedP(app(iPr_def_13,cons(X0,X1)))
| ~ ssList(app(iPr_def_13,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_25194,c_20088]) ).
tcf(c_25265,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(app(iPr_def_13,cons(X0,X1)))
| ~ ssList(app(iPr_def_13,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25264,c_6485,c_300,c_299]) ).
tcf(c_25271,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| lt(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(skaf43(sk5,iPr_def_13))
| ~ strictorderP(app(iPr_def_13,cons(X0,X1)))
| ~ ssList(app(iPr_def_13,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_25193,c_20088]) ).
tcf(c_25272,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| lt(X0,sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderP(app(iPr_def_13,cons(X0,X1)))
| ~ ssList(app(iPr_def_13,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25271,c_6485,c_300,c_299]) ).
tcf(c_25279,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| leq(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(skaf43(sk5,iPr_def_13))
| ~ totalorderP(app(iPr_def_13,cons(X0,X1)))
| ~ ssList(app(iPr_def_13,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_25192,c_20088]) ).
tcf(c_25280,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| leq(X0,sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderP(app(iPr_def_13,cons(X0,X1)))
| ~ ssList(app(iPr_def_13,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25279,c_6485,c_300,c_299]) ).
tcf(c_25287,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk5,X0)
| ~ leq(X0,sk5)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(skaf43(sk5,iPr_def_13))
| ~ cyclefreeP(app(iPr_def_13,cons(X0,X1)))
| ~ ssList(app(iPr_def_13,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_25191,c_20088]) ).
tcf(c_25288,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk5,X0)
| ~ leq(X0,sk5)
| ~ cyclefreeP(app(iPr_def_13,cons(X0,X1)))
| ~ ssList(app(iPr_def_13,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25287,c_6485,c_300,c_299]) ).
tcf(c_25394,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),cons(sk6,skaf43(sk6,iPr_def_14)))
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14)))
| ~ ssList(app(app(skaf42(iPr_def_14,sk6),cons(sk6,skaf43(sk6,iPr_def_14))),X0)) ),
inference(superposition,[status(thm)],[c_20089,c_420]) ).
tcf(c_25395,plain,
! [X0: $i] :
( ( skaf42(iPr_def_14,sk6) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14)))
| ( app(X0,cons(sk6,skaf43(sk6,iPr_def_14))) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_20089,c_398]) ).
tcf(c_25397,plain,
! [X0: $i] :
( memberP(skaf42(iPr_def_14,sk6),X0)
| memberP(cons(sk6,skaf43(sk6,iPr_def_14)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_20089,c_405]) ).
tcf(c_25400,plain,
( frontsegP(iPr_def_14,skaf42(iPr_def_14,sk6))
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_20089,c_808]) ).
tcf(c_25401,plain,
( rearsegP(iPr_def_14,cons(sk6,skaf43(sk6,iPr_def_14)))
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_20089,c_807]) ).
tcf(c_25402,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| ~ ssItem(X0)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14)))
| ~ memberP(cons(sk6,skaf43(sk6,iPr_def_14)),X0) ),
inference(superposition,[status(thm)],[c_20089,c_388]) ).
tcf(c_25403,plain,
! [X0: $i] :
( rearsegP(iPr_def_14,X0)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14)))
| ~ rearsegP(cons(sk6,skaf43(sk6,iPr_def_14)),X0) ),
inference(superposition,[status(thm)],[c_20089,c_383]) ).
tcf(c_25404,plain,
! [X0: $i] :
( ( cons(sk6,skaf43(sk6,iPr_def_14)) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14)))
| ( app(skaf42(iPr_def_14,sk6),X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_20089,c_397]) ).
tcf(c_25405,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| ~ ssItem(X0)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ memberP(skaf42(iPr_def_14,sk6),X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_20089,c_387]) ).
tcf(c_25406,plain,
! [X0: $i] :
( frontsegP(iPr_def_14,X0)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ frontsegP(skaf42(iPr_def_14,sk6),X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_20089,c_384]) ).
tcf(c_25407,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_14,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14)))
| ~ segmentP(cons(sk6,skaf43(sk6,iPr_def_14)),X0) ),
inference(superposition,[status(thm)],[c_20089,c_419]) ).
tcf(c_25408,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk6,X0)
| ~ leq(X0,sk6)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(skaf43(sk6,iPr_def_14))
| ~ ssList(app(iPr_def_14,cons(X0,X1)))
| ~ cyclefreeP(app(app(skaf42(iPr_def_14,sk6),cons(sk6,skaf43(sk6,iPr_def_14))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_20089,c_432]) ).
tcf(c_25409,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| leq(X0,sk6)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(skaf43(sk6,iPr_def_14))
| ~ ssList(app(iPr_def_14,cons(X0,X1)))
| ~ totalorderP(app(app(skaf42(iPr_def_14,sk6),cons(sk6,skaf43(sk6,iPr_def_14))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_20089,c_431]) ).
tcf(c_25410,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| lt(X0,sk6)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(skaf43(sk6,iPr_def_14))
| ~ ssList(app(iPr_def_14,cons(X0,X1)))
| ~ strictorderP(app(app(skaf42(iPr_def_14,sk6),cons(sk6,skaf43(sk6,iPr_def_14))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_20089,c_430]) ).
tcf(c_25411,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(skaf43(sk6,iPr_def_14))
| ~ ssList(app(iPr_def_14,cons(X0,X1)))
| ~ totalorderedP(app(app(skaf42(iPr_def_14,sk6),cons(sk6,skaf43(sk6,iPr_def_14))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_20089,c_429]) ).
tcf(c_25412,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(skaf43(sk6,iPr_def_14))
| ~ ssList(app(iPr_def_14,cons(X0,X1)))
| ~ strictorderedP(app(app(skaf42(iPr_def_14,sk6),cons(sk6,skaf43(sk6,iPr_def_14))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_20089,c_428]) ).
tcf(c_25413,plain,
! [X0: $i] :
( ~ ssItem(sk6)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(skaf43(sk6,iPr_def_14))
| ~ ssList(app(iPr_def_14,cons(sk6,X0)))
| ~ duplicatefreeP(app(app(skaf42(iPr_def_14,sk6),cons(sk6,skaf43(sk6,iPr_def_14))),cons(sk6,X0))) ),
inference(superposition,[status(thm)],[c_20089,c_426]) ).
tcf(c_25415,plain,
( frontsegP(iPr_def_14,skaf42(iPr_def_14,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25400,c_300]) ).
tcf(c_25418,plain,
( rearsegP(iPr_def_14,cons(sk6,skaf43(sk6,iPr_def_14)))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25401,c_300]) ).
tcf(c_25421,plain,
! [X0: $i] :
( frontsegP(iPr_def_14,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf42(iPr_def_14,sk6),X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25406,c_300]) ).
tcf(c_25426,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| ~ ssItem(X0)
| ~ memberP(skaf42(iPr_def_14,sk6),X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25405,c_300]) ).
tcf(c_25431,plain,
! [X0: $i] :
( rearsegP(iPr_def_14,X0)
| ~ ssList(X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14)))
| ~ rearsegP(cons(sk6,skaf43(sk6,iPr_def_14)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25403,c_300]) ).
tcf(c_25436,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14)))
| ~ memberP(cons(sk6,skaf43(sk6,iPr_def_14)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25402,c_300]) ).
tcf(c_25441,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_14,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14)))
| ~ segmentP(cons(sk6,skaf43(sk6,iPr_def_14)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25407,c_300]) ).
tcf(c_25447,plain,
! [X0: $i] :
( memberP(skaf42(iPr_def_14,sk6),X0)
| memberP(cons(sk6,skaf43(sk6,iPr_def_14)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25397,c_300]) ).
tcf(c_25453,plain,
! [X0: $i] :
( ( cons(sk6,skaf43(sk6,iPr_def_14)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14)))
| ( app(skaf42(iPr_def_14,sk6),X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25404,c_300]) ).
tcf(c_25458,plain,
! [X0: $i] :
( ( skaf42(iPr_def_14,sk6) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14)))
| ( app(X0,cons(sk6,skaf43(sk6,iPr_def_14))) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25395,c_300]) ).
tcf(c_25463,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),cons(sk6,skaf43(sk6,iPr_def_14)))
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(app(iPr_def_14,X0))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14))) ),
inference(light_normalisation,[status(thm)],[c_25394,c_20089]) ).
tcf(c_25464,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),cons(sk6,skaf43(sk6,iPr_def_14)))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_14,X0))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25463,c_300]) ).
tcf(c_25469,plain,
! [X0: $i] :
( ~ ssItem(sk6)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(skaf43(sk6,iPr_def_14))
| ~ duplicatefreeP(app(iPr_def_14,cons(sk6,X0)))
| ~ ssList(app(iPr_def_14,cons(sk6,X0))) ),
inference(light_normalisation,[status(thm)],[c_25413,c_20089]) ).
tcf(c_25470,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(iPr_def_14,cons(sk6,X0)))
| ~ ssList(app(iPr_def_14,cons(sk6,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25469,c_6484,c_300,c_299]) ).
tcf(c_25474,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(skaf43(sk6,iPr_def_14))
| ~ strictorderedP(app(iPr_def_14,cons(X0,X1)))
| ~ ssList(app(iPr_def_14,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_25412,c_20089]) ).
tcf(c_25475,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(app(iPr_def_14,cons(X0,X1)))
| ~ ssList(app(iPr_def_14,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25474,c_6484,c_300,c_299]) ).
tcf(c_25481,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(skaf43(sk6,iPr_def_14))
| ~ totalorderedP(app(iPr_def_14,cons(X0,X1)))
| ~ ssList(app(iPr_def_14,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_25411,c_20089]) ).
tcf(c_25482,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(app(iPr_def_14,cons(X0,X1)))
| ~ ssList(app(iPr_def_14,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25481,c_6484,c_300,c_299]) ).
tcf(c_25488,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| lt(X0,sk6)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(skaf43(sk6,iPr_def_14))
| ~ strictorderP(app(iPr_def_14,cons(X0,X1)))
| ~ ssList(app(iPr_def_14,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_25410,c_20089]) ).
tcf(c_25489,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| lt(X0,sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderP(app(iPr_def_14,cons(X0,X1)))
| ~ ssList(app(iPr_def_14,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25488,c_6484,c_300,c_299]) ).
tcf(c_25496,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| leq(X0,sk6)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(skaf43(sk6,iPr_def_14))
| ~ totalorderP(app(iPr_def_14,cons(X0,X1)))
| ~ ssList(app(iPr_def_14,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_25409,c_20089]) ).
tcf(c_25497,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| leq(X0,sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderP(app(iPr_def_14,cons(X0,X1)))
| ~ ssList(app(iPr_def_14,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25496,c_6484,c_300,c_299]) ).
tcf(c_25504,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk6,X0)
| ~ leq(X0,sk6)
| ~ ssList(skaf42(iPr_def_14,sk6))
| ~ ssList(skaf43(sk6,iPr_def_14))
| ~ cyclefreeP(app(iPr_def_14,cons(X0,X1)))
| ~ ssList(app(iPr_def_14,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_25408,c_20089]) ).
tcf(c_25505,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk6,X0)
| ~ leq(X0,sk6)
| ~ cyclefreeP(app(iPr_def_14,cons(X0,X1)))
| ~ ssList(app(iPr_def_14,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25504,c_6484,c_300,c_299]) ).
tcf(c_25527,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),cons(sk5,skaf43(sk5,iPr_def_12)))
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12)))
| ~ ssList(app(app(skaf42(iPr_def_12,sk5),cons(sk5,skaf43(sk5,iPr_def_12))),X0)) ),
inference(superposition,[status(thm)],[c_20090,c_420]) ).
tcf(c_25528,plain,
! [X0: $i] :
( ( skaf42(iPr_def_12,sk5) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12)))
| ( app(X0,cons(sk5,skaf43(sk5,iPr_def_12))) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_20090,c_398]) ).
tcf(c_25530,plain,
! [X0: $i] :
( memberP(skaf42(iPr_def_12,sk5),X0)
| memberP(cons(sk5,skaf43(sk5,iPr_def_12)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20090,c_405]) ).
tcf(c_25533,plain,
( frontsegP(iPr_def_12,skaf42(iPr_def_12,sk5))
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20090,c_808]) ).
tcf(c_25534,plain,
( rearsegP(iPr_def_12,cons(sk5,skaf43(sk5,iPr_def_12)))
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20090,c_807]) ).
tcf(c_25535,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12)))
| ~ memberP(cons(sk5,skaf43(sk5,iPr_def_12)),X0) ),
inference(superposition,[status(thm)],[c_20090,c_388]) ).
tcf(c_25536,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12)))
| ~ rearsegP(cons(sk5,skaf43(sk5,iPr_def_12)),X0) ),
inference(superposition,[status(thm)],[c_20090,c_383]) ).
tcf(c_25537,plain,
! [X0: $i] :
( ( cons(sk5,skaf43(sk5,iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12)))
| ( app(skaf42(iPr_def_12,sk5),X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_20090,c_397]) ).
tcf(c_25538,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ memberP(skaf42(iPr_def_12,sk5),X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20090,c_387]) ).
tcf(c_25539,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ frontsegP(skaf42(iPr_def_12,sk5),X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20090,c_384]) ).
tcf(c_25540,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12)))
| ~ segmentP(cons(sk5,skaf43(sk5,iPr_def_12)),X0) ),
inference(superposition,[status(thm)],[c_20090,c_419]) ).
tcf(c_25541,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk5,X0)
| ~ leq(X0,sk5)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(skaf43(sk5,iPr_def_12))
| ~ ssList(app(iPr_def_12,cons(X0,X1)))
| ~ cyclefreeP(app(app(skaf42(iPr_def_12,sk5),cons(sk5,skaf43(sk5,iPr_def_12))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_20090,c_432]) ).
tcf(c_25542,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| leq(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(skaf43(sk5,iPr_def_12))
| ~ ssList(app(iPr_def_12,cons(X0,X1)))
| ~ totalorderP(app(app(skaf42(iPr_def_12,sk5),cons(sk5,skaf43(sk5,iPr_def_12))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_20090,c_431]) ).
tcf(c_25543,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| lt(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(skaf43(sk5,iPr_def_12))
| ~ ssList(app(iPr_def_12,cons(X0,X1)))
| ~ strictorderP(app(app(skaf42(iPr_def_12,sk5),cons(sk5,skaf43(sk5,iPr_def_12))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_20090,c_430]) ).
tcf(c_25544,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(skaf43(sk5,iPr_def_12))
| ~ ssList(app(iPr_def_12,cons(X0,X1)))
| ~ totalorderedP(app(app(skaf42(iPr_def_12,sk5),cons(sk5,skaf43(sk5,iPr_def_12))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_20090,c_429]) ).
tcf(c_25545,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(skaf43(sk5,iPr_def_12))
| ~ ssList(app(iPr_def_12,cons(X0,X1)))
| ~ strictorderedP(app(app(skaf42(iPr_def_12,sk5),cons(sk5,skaf43(sk5,iPr_def_12))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_20090,c_428]) ).
tcf(c_25546,plain,
! [X0: $i] :
( ~ ssItem(sk5)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(skaf43(sk5,iPr_def_12))
| ~ ssList(app(iPr_def_12,cons(sk5,X0)))
| ~ duplicatefreeP(app(app(skaf42(iPr_def_12,sk5),cons(sk5,skaf43(sk5,iPr_def_12))),cons(sk5,X0))) ),
inference(superposition,[status(thm)],[c_20090,c_426]) ).
tcf(c_25548,plain,
( frontsegP(iPr_def_12,skaf42(iPr_def_12,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25533,c_300]) ).
tcf(c_25551,plain,
( rearsegP(iPr_def_12,cons(sk5,skaf43(sk5,iPr_def_12)))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25534,c_300]) ).
tcf(c_25554,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf42(iPr_def_12,sk5),X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25539,c_300]) ).
tcf(c_25559,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(skaf42(iPr_def_12,sk5),X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25538,c_300]) ).
tcf(c_25564,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12)))
| ~ rearsegP(cons(sk5,skaf43(sk5,iPr_def_12)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25536,c_300]) ).
tcf(c_25569,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12)))
| ~ memberP(cons(sk5,skaf43(sk5,iPr_def_12)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25535,c_300]) ).
tcf(c_25574,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12)))
| ~ segmentP(cons(sk5,skaf43(sk5,iPr_def_12)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25540,c_300]) ).
tcf(c_25580,plain,
! [X0: $i] :
( memberP(skaf42(iPr_def_12,sk5),X0)
| memberP(cons(sk5,skaf43(sk5,iPr_def_12)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25530,c_300]) ).
tcf(c_25586,plain,
! [X0: $i] :
( ( cons(sk5,skaf43(sk5,iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12)))
| ( app(skaf42(iPr_def_12,sk5),X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25537,c_300]) ).
tcf(c_25591,plain,
! [X0: $i] :
( ( skaf42(iPr_def_12,sk5) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12)))
| ( app(X0,cons(sk5,skaf43(sk5,iPr_def_12))) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25528,c_300]) ).
tcf(c_25596,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),cons(sk5,skaf43(sk5,iPr_def_12)))
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(app(iPr_def_12,X0))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12))) ),
inference(light_normalisation,[status(thm)],[c_25527,c_20090]) ).
tcf(c_25597,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),cons(sk5,skaf43(sk5,iPr_def_12)))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,X0))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_12))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25596,c_300]) ).
tcf(c_25602,plain,
! [X0: $i] :
( ~ ssItem(sk5)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(skaf43(sk5,iPr_def_12))
| ~ duplicatefreeP(app(iPr_def_12,cons(sk5,X0)))
| ~ ssList(app(iPr_def_12,cons(sk5,X0))) ),
inference(light_normalisation,[status(thm)],[c_25546,c_20090]) ).
tcf(c_25603,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(iPr_def_12,cons(sk5,X0)))
| ~ ssList(app(iPr_def_12,cons(sk5,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25602,c_6485,c_300,c_299]) ).
tcf(c_25607,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(skaf43(sk5,iPr_def_12))
| ~ strictorderedP(app(iPr_def_12,cons(X0,X1)))
| ~ ssList(app(iPr_def_12,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_25545,c_20090]) ).
tcf(c_25608,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(app(iPr_def_12,cons(X0,X1)))
| ~ ssList(app(iPr_def_12,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25607,c_6485,c_300,c_299]) ).
tcf(c_25614,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(skaf43(sk5,iPr_def_12))
| ~ totalorderedP(app(iPr_def_12,cons(X0,X1)))
| ~ ssList(app(iPr_def_12,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_25544,c_20090]) ).
tcf(c_25615,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(app(iPr_def_12,cons(X0,X1)))
| ~ ssList(app(iPr_def_12,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25614,c_6485,c_300,c_299]) ).
tcf(c_25621,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| lt(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(skaf43(sk5,iPr_def_12))
| ~ strictorderP(app(iPr_def_12,cons(X0,X1)))
| ~ ssList(app(iPr_def_12,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_25543,c_20090]) ).
tcf(c_25622,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| lt(X0,sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderP(app(iPr_def_12,cons(X0,X1)))
| ~ ssList(app(iPr_def_12,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25621,c_6485,c_300,c_299]) ).
tcf(c_25629,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| leq(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(skaf43(sk5,iPr_def_12))
| ~ totalorderP(app(iPr_def_12,cons(X0,X1)))
| ~ ssList(app(iPr_def_12,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_25542,c_20090]) ).
tcf(c_25630,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| leq(X0,sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderP(app(iPr_def_12,cons(X0,X1)))
| ~ ssList(app(iPr_def_12,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25629,c_6485,c_300,c_299]) ).
tcf(c_25637,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk5,X0)
| ~ leq(X0,sk5)
| ~ ssList(skaf42(iPr_def_12,sk5))
| ~ ssList(skaf43(sk5,iPr_def_12))
| ~ cyclefreeP(app(iPr_def_12,cons(X0,X1)))
| ~ ssList(app(iPr_def_12,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_25541,c_20090]) ).
tcf(c_25638,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk5,X0)
| ~ leq(X0,sk5)
| ~ cyclefreeP(app(iPr_def_12,cons(X0,X1)))
| ~ ssList(app(iPr_def_12,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25637,c_6485,c_300,c_299]) ).
tcf(c_25809,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ ssList(cons(sk9,sk4))
| ~ rearsegP(X0,cons(sk9,sk4)) ),
inference(superposition,[status(thm)],[c_22102,c_400]) ).
tcf(c_25810,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk9,sk4),X0),X0) = cons(sk9,sk4) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk9,sk4)) ),
inference(superposition,[status(thm)],[c_22102,c_378]) ).
tcf(c_25811,plain,
! [X0: $i] :
( ( cons(sk9,sk4) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk9,sk4))
| ~ rearsegP(X0,cons(sk9,sk4)) ),
inference(superposition,[status(thm)],[c_22102,c_375]) ).
tcf(c_25812,plain,
( rearsegP(cons(sk9,sk4),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk9,sk4)) ),
inference(superposition,[status(thm)],[c_22102,c_15170]) ).
tcf(c_25814,plain,
( rearsegP(cons(sk9,sk4),sk7)
| ~ ssList(cons(sk9,sk7))
| ~ ssList(cons(sk9,sk4))
| ~ rearsegP(sk4,cons(sk9,sk7)) ),
inference(superposition,[status(thm)],[c_22102,c_15453]) ).
tcf(c_25815,plain,
( rearsegP(cons(sk9,sk4),sk8)
| ~ ssList(cons(sk9,sk8))
| ~ ssList(cons(sk9,sk4))
| ~ rearsegP(sk4,cons(sk9,sk8)) ),
inference(superposition,[status(thm)],[c_22102,c_17383]) ).
tcf(c_25816,plain,
( rearsegP(cons(sk9,sk4),sk8)
| ~ rearsegP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25812,c_9020,c_12535]) ).
tcf(c_25819,plain,
( rearsegP(cons(sk9,sk4),sk8)
| ~ rearsegP(sk4,cons(sk9,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25815,c_15373,c_12535]) ).
tcf(c_25822,plain,
( rearsegP(cons(sk9,sk4),sk7)
| ~ rearsegP(sk4,cons(sk9,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25814,c_14920,c_12535]) ).
tcf(c_25825,plain,
! [X0: $i] :
( ( cons(sk9,sk4) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ rearsegP(X0,cons(sk9,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25811,c_12535]) ).
tcf(c_25830,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk9,sk4),X0),X0) = cons(sk9,sk4) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25810,c_12535]) ).
tcf(c_25834,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ rearsegP(X0,cons(sk9,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25809,c_12535]) ).
tcf(c_25848,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk9,sk4),X0),cons(X0,skaf43(X0,cons(sk9,sk4)))) = cons(sk9,sk4) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk9,sk4)) ),
inference(superposition,[status(thm)],[c_22106,c_416]) ).
tcf(c_25850,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk9,sk4),X0),cons(X0,skaf43(X0,cons(sk9,sk4)))) = cons(sk9,sk4) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25848,c_12535]) ).
tcf(c_25857,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf80(X0),X1),skaf80(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf80(X0))
| ~ ssList(app(app(nil,skaf80(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9202,c_420]) ).
tcf(c_25858,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf80(X1))
| ( app(X0,skaf80(X1)) != skaf80(X1) ) ),
inference(superposition,[status(thm)],[c_9202,c_398]) ).
tcf(c_25863,plain,
! [X0: $i] :
( frontsegP(skaf80(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf80(X0)) ),
inference(superposition,[status(thm)],[c_9202,c_808]) ).
tcf(c_25864,plain,
! [X0: $i] :
( rearsegP(skaf80(X0),skaf80(X0))
| ~ ssList(nil)
| ~ ssList(skaf80(X0)) ),
inference(superposition,[status(thm)],[c_9202,c_807]) ).
tcf(c_25867,plain,
! [X0: $i,X1: $i] :
( ( skaf80(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf80(X1))
| ( app(nil,X0) != skaf80(X1) ) ),
inference(superposition,[status(thm)],[c_9202,c_397]) ).
tcf(c_25869,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf80(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf80(X0)) ),
inference(superposition,[status(thm)],[c_9202,c_384]) ).
tcf(c_25870,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf80(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf80(X0))
| ~ segmentP(skaf80(X0),X1) ),
inference(superposition,[status(thm)],[c_9202,c_419]) ).
tcf(c_25871,plain,
! [X0: $i] : frontsegP(skaf80(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_25863,c_255,c_262]) ).
tcf(c_25872,plain,
! [X0: $i] : rearsegP(skaf80(X0),skaf80(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_25864,c_255,c_262]) ).
tcf(c_25873,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf80(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25869,c_255,c_262]) ).
tcf(c_25877,plain,
! [X0: $i,X1: $i] :
( ( skaf80(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf80(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25867,c_255,c_262]) ).
tcf(c_25881,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf80(X1)) != skaf80(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25858,c_255,c_262]) ).
tcf(c_25885,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf80(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf80(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25870,c_255,c_262]) ).
tcf(c_25890,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf80(X0),X1),skaf80(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf80(X0))
| ~ ssList(app(skaf80(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_25857,c_9202]) ).
tcf(c_25891,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf80(X0),X1),skaf80(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf80(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25890,c_255,c_262]) ).
tcf(c_25899,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf80(X1))
| ~ frontsegP(X0,skaf80(X1)) ),
inference(superposition,[status(thm)],[c_25871,c_401]) ).
tcf(c_25900,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf80(X0),nil)) = skaf80(X0) )
| ~ ssList(nil)
| ~ ssList(skaf80(X0)) ),
inference(superposition,[status(thm)],[c_25871,c_379]) ).
tcf(c_25901,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf80(X0))
| ~ frontsegP(nil,skaf80(X0)) ),
inference(superposition,[status(thm)],[c_25871,c_376]) ).
tcf(c_25902,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ~ frontsegP(nil,skaf80(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25901,c_255,c_262]) ).
tcf(c_25905,plain,
! [X0: $i] : app(nil,skaf45(skaf80(X0),nil)) = skaf80(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_25900,c_255,c_262]) ).
tcf(c_25910,plain,
! [X0: $i] :
( ( app(skaf46(skaf80(X0),skaf80(X0)),skaf80(X0)) = skaf80(X0) )
| ~ ssList(skaf80(X0)) ),
inference(superposition,[status(thm)],[c_25872,c_378]) ).
tcf(c_25912,plain,
! [X0: $i] : app(skaf46(skaf80(X0),skaf80(X0)),skaf80(X0)) = skaf80(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_25910,c_262]) ).
tcf(c_25916,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),nil)
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_15,nil),X0)) ),
inference(superposition,[status(thm)],[c_24914,c_420]) ).
tcf(c_25917,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24914,c_398]) ).
tcf(c_25922,plain,
( frontsegP(iPr_def_15,iPr_def_15)
| ~ ssList(iPr_def_15)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_24914,c_808]) ).
tcf(c_25923,plain,
( rearsegP(iPr_def_15,nil)
| ~ ssList(iPr_def_15)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_24914,c_807]) ).
tcf(c_25925,plain,
! [X0: $i] :
( rearsegP(iPr_def_15,X0)
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_24914,c_383]) ).
tcf(c_25926,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(iPr_def_15,X0) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24914,c_397]) ).
tcf(c_25929,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_15,X1),X0)
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_24914,c_419]) ).
tcf(c_25930,plain,
rearsegP(iPr_def_15,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_25923,c_24748,c_255]) ).
tcf(c_25931,plain,
frontsegP(iPr_def_15,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_25922,c_24748,c_255]) ).
tcf(c_25932,plain,
! [X0: $i] :
( rearsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25925,c_24748,c_255]) ).
tcf(c_25936,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_15,X0) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25926,c_24748,c_255]) ).
tcf(c_25940,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25917,c_24748,c_255]) ).
tcf(c_25944,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_15,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25929,c_24748,c_255]) ).
tcf(c_25949,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),nil)
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0)) ),
inference(light_normalisation,[status(thm)],[c_25916,c_24914]) ).
tcf(c_25950,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25949,c_24748,c_255]) ).
tcf(c_25956,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_25930,c_400]) ).
tcf(c_25957,plain,
( ( app(skaf46(iPr_def_15,nil),nil) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_25930,c_378]) ).
tcf(c_25958,plain,
( ( nil = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_15) ),
inference(superposition,[status(thm)],[c_25930,c_375]) ).
tcf(c_25959,plain,
~ rearsegP(nil,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_25958,c_11686,c_24748,c_255]) ).
tcf(c_25960,plain,
app(skaf46(iPr_def_15,nil),nil) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_25957,c_24748,c_255]) ).
tcf(c_25963,plain,
( ( app(iPr_def_15,skaf45(iPr_def_15,iPr_def_15)) = iPr_def_15 )
| ~ ssList(iPr_def_15) ),
inference(superposition,[status(thm)],[c_25931,c_379]) ).
tcf(c_25965,plain,
app(iPr_def_15,skaf45(iPr_def_15,iPr_def_15)) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_25963,c_24748]) ).
tcf(c_25966,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,iPr_def_13) = nil )
| ( cons(sk5,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,iPr_def_13))
| ( tl(X0) != iPr_def_13 )
| ( hd(cons(sk5,iPr_def_13)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10216,c_424]) ).
tcf(c_25969,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,iPr_def_13) = nil )
| ( cons(sk5,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,iPr_def_13))
| ( hd(X0) != sk5 )
| ( tl(X0) != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_25966,c_10684]) ).
tcf(c_25977,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,iPr_def_12) = nil )
| ( cons(sk5,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,iPr_def_12))
| ( tl(X0) != iPr_def_12 )
| ( hd(cons(sk5,iPr_def_12)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10217,c_424]) ).
tcf(c_25980,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,iPr_def_12) = nil )
| ( cons(sk5,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,iPr_def_12))
| ( hd(X0) != sk5 )
| ( tl(X0) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_25977,c_10685]) ).
tcf(c_25994,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ ssList(cons(sk9,sk7))
| ~ rearsegP(X0,cons(sk9,sk7)) ),
inference(superposition,[status(thm)],[c_23144,c_400]) ).
tcf(c_25995,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk9,sk7),X0),X0) = cons(sk9,sk7) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk9,sk7)) ),
inference(superposition,[status(thm)],[c_23144,c_378]) ).
tcf(c_25996,plain,
! [X0: $i] :
( ( cons(sk9,sk7) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk9,sk7))
| ~ rearsegP(X0,cons(sk9,sk7)) ),
inference(superposition,[status(thm)],[c_23144,c_375]) ).
tcf(c_25997,plain,
( rearsegP(cons(sk9,sk7),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk9,sk7)) ),
inference(superposition,[status(thm)],[c_23144,c_15170]) ).
tcf(c_25998,plain,
( rearsegP(cons(sk9,sk7),sk4)
| ~ ssList(cons(sk9,sk7))
| ~ ssList(cons(sk9,sk4))
| ~ rearsegP(sk7,cons(sk9,sk4)) ),
inference(superposition,[status(thm)],[c_23144,c_15439]) ).
tcf(c_26000,plain,
( rearsegP(cons(sk9,sk7),sk8)
| ~ ssList(cons(sk9,sk8))
| ~ ssList(cons(sk9,sk7))
| ~ rearsegP(sk7,cons(sk9,sk8)) ),
inference(superposition,[status(thm)],[c_23144,c_17383]) ).
tcf(c_26001,plain,
( rearsegP(cons(sk9,sk7),sk8)
| ~ rearsegP(sk7,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25997,c_9020,c_14920]) ).
tcf(c_26004,plain,
( rearsegP(cons(sk9,sk7),sk8)
| ~ rearsegP(sk7,cons(sk9,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26000,c_15373,c_14920]) ).
tcf(c_26007,plain,
( rearsegP(cons(sk9,sk7),sk4)
| ~ rearsegP(sk7,cons(sk9,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25998,c_14920,c_12535]) ).
tcf(c_26010,plain,
! [X0: $i] :
( ( cons(sk9,sk7) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ rearsegP(X0,cons(sk9,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25996,c_14920]) ).
tcf(c_26015,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk9,sk7),X0),X0) = cons(sk9,sk7) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25995,c_14920]) ).
tcf(c_26019,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ rearsegP(X0,cons(sk9,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25994,c_14920]) ).
tcf(c_26105,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk9,sk7),X0),cons(X0,skaf43(X0,cons(sk9,sk7)))) = cons(sk9,sk7) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(cons(sk9,sk7)) ),
inference(superposition,[status(thm)],[c_23148,c_416]) ).
tcf(c_26107,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk9,sk7),X0),cons(X0,skaf43(X0,cons(sk9,sk7)))) = cons(sk9,sk7) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26105,c_14920]) ).
tcf(c_26118,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk8,X1)
| ~ ssList(cons(sk9,sk8))
| ~ rearsegP(X0,cons(sk9,sk8)) ),
inference(superposition,[status(thm)],[c_24484,c_400]) ).
tcf(c_26119,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk9,sk8),X0),X0) = cons(sk9,sk8) )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(cons(sk9,sk8)) ),
inference(superposition,[status(thm)],[c_24484,c_378]) ).
tcf(c_26120,plain,
! [X0: $i] :
( ( cons(sk9,sk8) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(cons(sk9,sk8))
| ~ rearsegP(X0,cons(sk9,sk8)) ),
inference(superposition,[status(thm)],[c_24484,c_375]) ).
tcf(c_26122,plain,
( rearsegP(cons(sk9,sk8),sk4)
| ~ ssList(cons(sk9,sk8))
| ~ ssList(cons(sk9,sk4))
| ~ rearsegP(sk8,cons(sk9,sk4)) ),
inference(superposition,[status(thm)],[c_24484,c_15439]) ).
tcf(c_26123,plain,
( rearsegP(cons(sk9,sk8),sk7)
| ~ ssList(cons(sk9,sk8))
| ~ ssList(cons(sk9,sk7))
| ~ rearsegP(sk8,cons(sk9,sk7)) ),
inference(superposition,[status(thm)],[c_24484,c_15453]) ).
tcf(c_26125,plain,
( rearsegP(cons(sk9,sk8),sk7)
| ~ rearsegP(sk8,cons(sk9,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26123,c_15373,c_14920]) ).
tcf(c_26128,plain,
( rearsegP(cons(sk9,sk8),sk4)
| ~ rearsegP(sk8,cons(sk9,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26122,c_15373,c_12535]) ).
tcf(c_26131,plain,
! [X0: $i] :
( ( cons(sk9,sk8) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ rearsegP(X0,cons(sk9,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26120,c_15373]) ).
tcf(c_26136,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk9,sk8),X0),X0) = cons(sk9,sk8) )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26119,c_15373]) ).
tcf(c_26140,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk8,X1)
| ~ rearsegP(X0,cons(sk9,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26118,c_15373]) ).
tcf(c_26154,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk9,sk8),X0),cons(X0,skaf43(X0,cons(sk9,sk8)))) = cons(sk9,sk8) )
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(cons(sk9,sk8)) ),
inference(superposition,[status(thm)],[c_24488,c_416]) ).
tcf(c_26156,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk9,sk8),X0),cons(X0,skaf43(X0,cons(sk9,sk8)))) = cons(sk9,sk8) )
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26154,c_15373]) ).
tcf(c_26178,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ frontsegP(iPr_def_15,X0)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_13546,c_9461,c_9443,c_9489,c_9488,c_13546]) ).
tcf(c_26179,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_15,X0) ),
inference(renaming,[status(thm)],[c_26178]) ).
tcf(c_26188,plain,
( frontsegP(iPr_def_16,iPr_def_13)
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_9822,c_26179]) ).
tcf(c_26190,plain,
( frontsegP(iPr_def_16,skaf46(sk8,sk8))
| ~ ssList(iPr_def_15)
| ~ frontsegP(iPr_def_15,sk8)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_15615,c_26179]) ).
tcf(c_26192,plain,
( frontsegP(iPr_def_16,skaf46(sk4,sk4))
| ~ ssList(iPr_def_15)
| ~ frontsegP(iPr_def_15,sk4)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_15607,c_26179]) ).
tcf(c_26193,plain,
( frontsegP(iPr_def_16,sk7)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_24653,c_26179]) ).
tcf(c_26194,plain,
( frontsegP(iPr_def_16,skaf46(sk7,sk7))
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_24976,c_26179]) ).
tcf(c_26195,plain,
( frontsegP(iPr_def_16,skaf46(sk8,sk8))
| ~ frontsegP(sk7,sk8)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_24980,c_26179]) ).
tcf(c_26196,plain,
( frontsegP(iPr_def_16,skaf46(sk4,sk4))
| ~ frontsegP(sk7,sk4)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_24977,c_26179]) ).
tcf(c_26198,plain,
frontsegP(iPr_def_16,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_26193,c_6483]) ).
tcf(c_26199,plain,
frontsegP(iPr_def_16,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_26188,c_9527]) ).
tcf(c_26200,plain,
frontsegP(iPr_def_16,skaf46(sk7,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_26194,c_297]) ).
tcf(c_26201,plain,
( frontsegP(iPr_def_16,skaf46(sk4,sk4))
| ~ frontsegP(sk7,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26196,c_297]) ).
tcf(c_26204,plain,
( frontsegP(iPr_def_16,skaf46(sk8,sk8))
| ~ frontsegP(sk7,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26195,c_297]) ).
tcf(c_26207,plain,
( frontsegP(iPr_def_16,skaf46(sk4,sk4))
| ~ frontsegP(iPr_def_15,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26192,c_24748,c_297]) ).
tcf(c_26210,plain,
( frontsegP(iPr_def_16,skaf46(sk8,sk8))
| ~ frontsegP(iPr_def_15,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26190,c_24748,c_297]) ).
tcf(c_26215,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf77(X0),X1),skaf77(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf77(X0))
| ~ ssList(app(app(nil,skaf77(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9203,c_420]) ).
tcf(c_26216,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ( app(X0,skaf77(X1)) != skaf77(X1) ) ),
inference(superposition,[status(thm)],[c_9203,c_398]) ).
tcf(c_26221,plain,
! [X0: $i] :
( frontsegP(skaf77(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf77(X0)) ),
inference(superposition,[status(thm)],[c_9203,c_808]) ).
tcf(c_26222,plain,
! [X0: $i] :
( rearsegP(skaf77(X0),skaf77(X0))
| ~ ssList(nil)
| ~ ssList(skaf77(X0)) ),
inference(superposition,[status(thm)],[c_9203,c_807]) ).
tcf(c_26225,plain,
! [X0: $i,X1: $i] :
( ( skaf77(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ( app(nil,X0) != skaf77(X1) ) ),
inference(superposition,[status(thm)],[c_9203,c_397]) ).
tcf(c_26227,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf77(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf77(X0)) ),
inference(superposition,[status(thm)],[c_9203,c_384]) ).
tcf(c_26228,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf77(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf77(X0))
| ~ segmentP(skaf77(X0),X1) ),
inference(superposition,[status(thm)],[c_9203,c_419]) ).
tcf(c_26229,plain,
! [X0: $i] : frontsegP(skaf77(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_26221,c_255,c_265]) ).
tcf(c_26230,plain,
! [X0: $i] : rearsegP(skaf77(X0),skaf77(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_26222,c_255,c_265]) ).
tcf(c_26231,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf77(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26227,c_255,c_265]) ).
tcf(c_26235,plain,
! [X0: $i,X1: $i] :
( ( skaf77(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf77(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26225,c_255,c_265]) ).
tcf(c_26239,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf77(X1)) != skaf77(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26216,c_255,c_265]) ).
tcf(c_26243,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf77(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf77(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26228,c_255,c_265]) ).
tcf(c_26248,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf77(X0),X1),skaf77(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf77(X0))
| ~ ssList(app(skaf77(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_26215,c_9203]) ).
tcf(c_26249,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf77(X0),X1),skaf77(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf77(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26248,c_255,c_265]) ).
tcf(c_26257,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf77(X1))
| ~ frontsegP(X0,skaf77(X1)) ),
inference(superposition,[status(thm)],[c_26229,c_401]) ).
tcf(c_26258,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf77(X0),nil)) = skaf77(X0) )
| ~ ssList(nil)
| ~ ssList(skaf77(X0)) ),
inference(superposition,[status(thm)],[c_26229,c_379]) ).
tcf(c_26259,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf77(X0))
| ~ frontsegP(nil,skaf77(X0)) ),
inference(superposition,[status(thm)],[c_26229,c_376]) ).
tcf(c_26260,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ~ frontsegP(nil,skaf77(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26259,c_255,c_265]) ).
tcf(c_26263,plain,
! [X0: $i] : app(nil,skaf45(skaf77(X0),nil)) = skaf77(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_26258,c_255,c_265]) ).
tcf(c_26268,plain,
! [X0: $i] :
( ( app(skaf46(skaf77(X0),skaf77(X0)),skaf77(X0)) = skaf77(X0) )
| ~ ssList(skaf77(X0)) ),
inference(superposition,[status(thm)],[c_26230,c_378]) ).
tcf(c_26270,plain,
! [X0: $i] : app(skaf46(skaf77(X0),skaf77(X0)),skaf77(X0)) = skaf77(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_26268,c_265]) ).
tcf(c_26272,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,iPr_def_16) = nil )
| ( cons(sk6,iPr_def_16) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,iPr_def_16))
| ( tl(X0) != iPr_def_16 )
| ( hd(cons(sk6,iPr_def_16)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10342,c_424]) ).
tcf(c_26275,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,iPr_def_16) = nil )
| ( cons(sk6,iPr_def_16) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,iPr_def_16))
| ( hd(X0) != sk6 )
| ( tl(X0) != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_26272,c_11255]) ).
tcf(c_26283,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,nil) = nil )
| ( cons(sk9,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ( tl(X0) != nil )
| ( hd(cons(sk9,nil)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10531,c_424]) ).
tcf(c_26286,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,nil) = nil )
| ( cons(sk9,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,nil))
| ( hd(X0) != sk9 )
| ( tl(X0) != nil ) ),
inference(light_normalisation,[status(thm)],[c_26283,c_11348]) ).
tcf(c_26329,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(iPr_def_16)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_26198,c_401]) ).
tcf(c_26330,plain,
( ( app(sk7,skaf45(iPr_def_16,sk7)) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_26198,c_379]) ).
tcf(c_26331,plain,
( ( sk7 = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(sk7)
| ~ frontsegP(sk7,iPr_def_16) ),
inference(superposition,[status(thm)],[c_26198,c_376]) ).
tcf(c_26332,plain,
( ( sk7 = iPr_def_16 )
| ~ frontsegP(sk7,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26331,c_9020,c_6483]) ).
tcf(c_26335,plain,
app(sk7,skaf45(iPr_def_16,sk7)) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_26330,c_9020,c_6483]) ).
tcf(c_26336,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26329,c_9020,c_6483]) ).
tcf(c_26340,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_13)
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_26199,c_401]) ).
tcf(c_26341,plain,
( ( app(iPr_def_13,skaf45(iPr_def_16,iPr_def_13)) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_26199,c_379]) ).
tcf(c_26342,plain,
( ( iPr_def_13 = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_13,iPr_def_16) ),
inference(superposition,[status(thm)],[c_26199,c_376]) ).
tcf(c_26344,plain,
( ( iPr_def_13 = iPr_def_16 )
| ~ frontsegP(iPr_def_13,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26342,c_9020,c_9527]) ).
tcf(c_26347,plain,
app(iPr_def_13,skaf45(iPr_def_16,iPr_def_13)) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_26341,c_9020,c_9527]) ).
tcf(c_26348,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_13)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26340,c_9020,c_9527]) ).
tcf(c_26352,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk7,sk7))
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16)
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_26200,c_401]) ).
tcf(c_26353,plain,
( ( app(skaf46(sk7,sk7),skaf45(iPr_def_16,skaf46(sk7,sk7))) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_26200,c_379]) ).
tcf(c_26354,plain,
( ( skaf46(sk7,sk7) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf46(sk7,sk7))
| ~ frontsegP(skaf46(sk7,sk7),iPr_def_16) ),
inference(superposition,[status(thm)],[c_26200,c_376]) ).
tcf(c_26355,plain,
( ( skaf46(sk7,sk7) = iPr_def_16 )
| ~ frontsegP(skaf46(sk7,sk7),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26354,c_9020,c_297]) ).
tcf(c_26358,plain,
app(skaf46(sk7,sk7),skaf45(iPr_def_16,skaf46(sk7,sk7))) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_26353,c_9020,c_297]) ).
tcf(c_26359,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(sk7,sk7))
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26352,c_9020,c_297]) ).
tcf(c_26363,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,iPr_def_14) = nil )
| ( cons(sk5,iPr_def_14) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,iPr_def_14))
| ( tl(X0) != iPr_def_14 )
| ( hd(cons(sk5,iPr_def_14)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10218,c_424]) ).
tcf(c_26366,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,iPr_def_14) = nil )
| ( cons(sk5,iPr_def_14) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,iPr_def_14))
| ( hd(X0) != sk5 )
| ( tl(X0) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_26363,c_10686]) ).
tcf(c_26380,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),skaf45(iPr_def_16,sk7))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,sk7))
| ~ ssList(app(app(sk7,skaf45(iPr_def_16,sk7)),X0)) ),
inference(superposition,[status(thm)],[c_26335,c_420]) ).
tcf(c_26381,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,sk7))
| ( app(X0,skaf45(iPr_def_16,sk7)) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_26335,c_398]) ).
tcf(c_26383,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf45(iPr_def_16,sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0)
| ~ ssList(skaf45(iPr_def_16,sk7)) ),
inference(superposition,[status(thm)],[c_26335,c_405]) ).
tcf(c_26387,plain,
( rearsegP(iPr_def_16,skaf45(iPr_def_16,sk7))
| ~ ssList(sk7)
| ~ ssList(skaf45(iPr_def_16,sk7)) ),
inference(superposition,[status(thm)],[c_26335,c_807]) ).
tcf(c_26388,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf45(iPr_def_16,sk7))
| ~ memberP(skaf45(iPr_def_16,sk7),X0) ),
inference(superposition,[status(thm)],[c_26335,c_388]) ).
tcf(c_26389,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,sk7))
| ~ rearsegP(skaf45(iPr_def_16,sk7),X0) ),
inference(superposition,[status(thm)],[c_26335,c_383]) ).
tcf(c_26390,plain,
! [X0: $i] :
( ( skaf45(iPr_def_16,sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,sk7))
| ( app(sk7,X0) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_26335,c_397]) ).
tcf(c_26391,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf45(iPr_def_16,sk7)) ),
inference(superposition,[status(thm)],[c_26335,c_387]) ).
tcf(c_26392,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ ssList(skaf45(iPr_def_16,sk7)) ),
inference(superposition,[status(thm)],[c_26335,c_384]) ).
tcf(c_26393,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,sk7))
| ~ segmentP(skaf45(iPr_def_16,sk7),X0) ),
inference(superposition,[status(thm)],[c_26335,c_419]) ).
tcf(c_26394,plain,
rearsegP(iPr_def_16,skaf45(iPr_def_16,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_26387,c_6483,c_298]) ).
tcf(c_26395,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ frontsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26392,c_6483,c_298]) ).
tcf(c_26399,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26391,c_6483,c_298]) ).
tcf(c_26403,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(iPr_def_16,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26389,c_6483,c_298]) ).
tcf(c_26407,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(iPr_def_16,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26388,c_6483,c_298]) ).
tcf(c_26411,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf45(iPr_def_16,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26383,c_6483,c_298]) ).
tcf(c_26416,plain,
! [X0: $i] :
( ( skaf45(iPr_def_16,sk7) = X0 )
| ~ ssList(X0)
| ( app(sk7,X0) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26390,c_6483,c_298]) ).
tcf(c_26420,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(X0,skaf45(iPr_def_16,sk7)) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26381,c_6483,c_298]) ).
tcf(c_26424,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(iPr_def_16,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26393,c_6483,c_298]) ).
tcf(c_26429,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),skaf45(iPr_def_16,sk7))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,sk7))
| ~ ssList(app(iPr_def_16,X0)) ),
inference(light_normalisation,[status(thm)],[c_26380,c_26335]) ).
tcf(c_26430,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),skaf45(iPr_def_16,sk7))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26429,c_6483,c_298]) ).
tcf(c_26441,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_16,sk7))
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_16)
| ~ ssList(skaf45(iPr_def_16,sk7)) ),
inference(superposition,[status(thm)],[c_26394,c_400]) ).
tcf(c_26442,plain,
( ( app(skaf46(iPr_def_16,skaf45(iPr_def_16,sk7)),skaf45(iPr_def_16,sk7)) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf45(iPr_def_16,sk7)) ),
inference(superposition,[status(thm)],[c_26394,c_378]) ).
tcf(c_26443,plain,
( ( skaf45(iPr_def_16,sk7) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf45(iPr_def_16,sk7))
| ~ rearsegP(skaf45(iPr_def_16,sk7),iPr_def_16) ),
inference(superposition,[status(thm)],[c_26394,c_375]) ).
tcf(c_26444,plain,
( ( skaf45(iPr_def_16,sk7) = iPr_def_16 )
| ~ rearsegP(skaf45(iPr_def_16,sk7),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26443,c_9020,c_298]) ).
tcf(c_26447,plain,
app(skaf46(iPr_def_16,skaf45(iPr_def_16,sk7)),skaf45(iPr_def_16,sk7)) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_26442,c_9020,c_298]) ).
tcf(c_26448,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_16,sk7))
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26441,c_9020,c_298]) ).
tcf(c_26459,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(iPr_def_16)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_384,c_26336]) ).
tcf(c_26460,plain,
! [X0: $i] :
( frontsegP(app(iPr_def_16,X0),sk7)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_808,c_26336]) ).
tcf(c_26462,plain,
! [X0: $i] :
( frontsegP(app(iPr_def_16,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26460,c_9020]) ).
tcf(c_26466,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16)
| ~ ssList(app(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26459,c_9020]) ).
tcf(c_26484,plain,
( frontsegP(iPr_def_16,skaf46(sk8,sk8))
| ~ ssList(sk7)
| ~ frontsegP(sk7,sk8)
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_15615,c_26395]) ).
tcf(c_26486,plain,
( frontsegP(iPr_def_16,skaf46(sk4,sk4))
| ~ ssList(sk7)
| ~ frontsegP(sk7,sk4)
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_15607,c_26395]) ).
tcf(c_26512,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf76(X0),X1),skaf76(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf76(X0))
| ~ ssList(app(app(nil,skaf76(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9204,c_420]) ).
tcf(c_26513,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ( app(X0,skaf76(X1)) != skaf76(X1) ) ),
inference(superposition,[status(thm)],[c_9204,c_398]) ).
tcf(c_26518,plain,
! [X0: $i] :
( frontsegP(skaf76(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf76(X0)) ),
inference(superposition,[status(thm)],[c_9204,c_808]) ).
tcf(c_26519,plain,
! [X0: $i] :
( rearsegP(skaf76(X0),skaf76(X0))
| ~ ssList(nil)
| ~ ssList(skaf76(X0)) ),
inference(superposition,[status(thm)],[c_9204,c_807]) ).
tcf(c_26522,plain,
! [X0: $i,X1: $i] :
( ( skaf76(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ( app(nil,X0) != skaf76(X1) ) ),
inference(superposition,[status(thm)],[c_9204,c_397]) ).
tcf(c_26524,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf76(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf76(X0)) ),
inference(superposition,[status(thm)],[c_9204,c_384]) ).
tcf(c_26525,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf76(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf76(X0))
| ~ segmentP(skaf76(X0),X1) ),
inference(superposition,[status(thm)],[c_9204,c_419]) ).
tcf(c_26526,plain,
! [X0: $i] : frontsegP(skaf76(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_26518,c_255,c_266]) ).
tcf(c_26527,plain,
! [X0: $i] : rearsegP(skaf76(X0),skaf76(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_26519,c_255,c_266]) ).
tcf(c_26528,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf76(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26524,c_255,c_266]) ).
tcf(c_26532,plain,
! [X0: $i,X1: $i] :
( ( skaf76(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf76(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26522,c_255,c_266]) ).
tcf(c_26536,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf76(X1)) != skaf76(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26513,c_255,c_266]) ).
tcf(c_26540,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf76(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf76(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26525,c_255,c_266]) ).
tcf(c_26545,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf76(X0),X1),skaf76(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf76(X0))
| ~ ssList(app(skaf76(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_26512,c_9204]) ).
tcf(c_26546,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf76(X0),X1),skaf76(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf76(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26545,c_255,c_266]) ).
tcf(c_26589,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf76(X1))
| ~ frontsegP(X0,skaf76(X1)) ),
inference(superposition,[status(thm)],[c_26526,c_401]) ).
tcf(c_26590,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf76(X0),nil)) = skaf76(X0) )
| ~ ssList(nil)
| ~ ssList(skaf76(X0)) ),
inference(superposition,[status(thm)],[c_26526,c_379]) ).
tcf(c_26591,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf76(X0))
| ~ frontsegP(nil,skaf76(X0)) ),
inference(superposition,[status(thm)],[c_26526,c_376]) ).
tcf(c_26592,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ~ frontsegP(nil,skaf76(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26591,c_255,c_266]) ).
tcf(c_26595,plain,
! [X0: $i] : app(nil,skaf45(skaf76(X0),nil)) = skaf76(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_26590,c_255,c_266]) ).
tcf(c_26600,plain,
! [X0: $i] :
( ( app(skaf46(skaf76(X0),skaf76(X0)),skaf76(X0)) = skaf76(X0) )
| ~ ssList(skaf76(X0)) ),
inference(superposition,[status(thm)],[c_26527,c_378]) ).
tcf(c_26602,plain,
! [X0: $i] : app(skaf46(skaf76(X0),skaf76(X0)),skaf76(X0)) = skaf76(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_26600,c_266]) ).
tcf(c_26604,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,iPr_def_16) = nil )
| ( cons(sk9,iPr_def_16) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,iPr_def_16))
| ( tl(X0) != iPr_def_16 )
| ( hd(cons(sk9,iPr_def_16)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10562,c_424]) ).
tcf(c_26607,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,iPr_def_16) = nil )
| ( cons(sk9,iPr_def_16) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,iPr_def_16))
| ( hd(X0) != sk9 )
| ( tl(X0) != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_26604,c_11379]) ).
tcf(c_26615,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,iPr_def_16)))
| ( cons(sk5,iPr_def_16) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,iPr_def_16))
| ~ ssList(cons(sk5,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_10683,c_407]) ).
tcf(c_26616,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,iPr_def_16)))
| ( cons(sk5,iPr_def_16) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,iPr_def_16))
| ~ ssList(cons(sk5,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_10683,c_406]) ).
tcf(c_26632,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,iPr_def_13) = nil )
| ( cons(sk6,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,iPr_def_13))
| ( tl(X0) != iPr_def_13 )
| ( hd(cons(sk6,iPr_def_13)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10343,c_424]) ).
tcf(c_26635,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,iPr_def_13) = nil )
| ( cons(sk6,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,iPr_def_13))
| ( hd(X0) != sk6 )
| ( tl(X0) != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_26632,c_11256]) ).
tcf(c_26643,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,iPr_def_12) = nil )
| ( cons(sk6,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,iPr_def_12))
| ( tl(X0) != iPr_def_12 )
| ( hd(cons(sk6,iPr_def_12)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10344,c_424]) ).
tcf(c_26646,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,iPr_def_12) = nil )
| ( cons(sk6,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,iPr_def_12))
| ( hd(X0) != sk6 )
| ( tl(X0) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_26643,c_11257]) ).
tcf(c_26654,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,iPr_def_14) = nil )
| ( cons(sk6,iPr_def_14) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,iPr_def_14))
| ( tl(X0) != iPr_def_14 )
| ( hd(cons(sk6,iPr_def_14)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10345,c_424]) ).
tcf(c_26657,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,iPr_def_14) = nil )
| ( cons(sk6,iPr_def_14) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,iPr_def_14))
| ( hd(X0) != sk6 )
| ( tl(X0) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_26654,c_11258]) ).
tcf(c_26665,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,iPr_def_13) = nil )
| ( cons(sk9,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,iPr_def_13))
| ( tl(X0) != iPr_def_13 )
| ( hd(cons(sk9,iPr_def_13)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10563,c_424]) ).
tcf(c_26668,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,iPr_def_13) = nil )
| ( cons(sk9,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,iPr_def_13))
| ( hd(X0) != sk9 )
| ( tl(X0) != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_26665,c_11380]) ).
tcf(c_26676,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ memberP(iPr_def_15,X0)
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_13832,c_9461,c_9443,c_9489,c_9488,c_13832]) ).
tcf(c_26677,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_15,X0) ),
inference(renaming,[status(thm)],[c_26676]) ).
tcf(c_26702,plain,
( segmentP(sk8,sk8)
| ~ ssList(nil)
| ~ ssList(app(sk8,nil)) ),
inference(superposition,[status(thm)],[c_9103,c_20764]) ).
tcf(c_26703,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,X1))
| ~ segmentP(X0,app(sk8,X1)) ),
inference(superposition,[status(thm)],[c_20764,c_399]) ).
tcf(c_26704,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk8,X0),sk8),sk8),skaf48(sk8,app(sk8,X0))) = app(sk8,X0) )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0)) ),
inference(superposition,[status(thm)],[c_20764,c_415]) ).
tcf(c_26705,plain,
! [X0: $i] :
( ( app(sk8,X0) = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(sk8,app(sk8,X0)) ),
inference(superposition,[status(thm)],[c_20764,c_374]) ).
tcf(c_26706,plain,
( segmentP(sk8,sk8)
| ~ ssList(nil)
| ~ ssList(sk8) ),
inference(light_normalisation,[status(thm)],[c_26702,c_9103]) ).
tcf(c_26707,plain,
segmentP(sk8,sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_26706,c_255,c_6482]) ).
tcf(c_26708,plain,
! [X0: $i] :
( ( app(sk8,X0) = sk8 )
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(sk8,app(sk8,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26705,c_6482]) ).
tcf(c_26713,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,X1))
| ~ segmentP(X0,app(sk8,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26703,c_6482]) ).
tcf(c_26719,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk8,X0),sk8),sk8),skaf48(sk8,app(sk8,X0))) = app(sk8,X0) )
| ~ ssList(X0)
| ~ ssList(app(sk8,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26704,c_6482]) ).
tcf(c_26726,plain,
( ( app(app(skaf47(sk8,sk8),sk8),skaf48(sk8,sk8)) = sk8 )
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_26707,c_415]) ).
tcf(c_26728,plain,
app(app(skaf47(sk8,sk8),sk8),skaf48(sk8,sk8)) = sk8,
inference(forward_subsumption_resolution,[status(thm)],[c_26726,c_6482]) ).
tcf(c_26731,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),skaf48(sk8,sk8))
| ~ ssList(X0)
| ~ ssList(skaf48(sk8,sk8))
| ~ ssList(app(skaf47(sk8,sk8),sk8))
| ~ ssList(app(app(app(skaf47(sk8,sk8),sk8),skaf48(sk8,sk8)),X0)) ),
inference(superposition,[status(thm)],[c_26728,c_420]) ).
tcf(c_26732,plain,
! [X0: $i] :
( ( app(skaf47(sk8,sk8),sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf48(sk8,sk8))
| ~ ssList(app(skaf47(sk8,sk8),sk8))
| ( app(X0,skaf48(sk8,sk8)) != sk8 ) ),
inference(superposition,[status(thm)],[c_26728,c_398]) ).
tcf(c_26734,plain,
! [X0: $i] :
( memberP(skaf48(sk8,sk8),X0)
| memberP(app(skaf47(sk8,sk8),sk8),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(skaf48(sk8,sk8))
| ~ ssList(app(skaf47(sk8,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_26728,c_405]) ).
tcf(c_26735,plain,
( ( skaf48(sk8,sk8) = nil )
| ~ ssList(skaf48(sk8,sk8))
| ~ ssList(app(skaf47(sk8,sk8),sk8))
| ( sk8 != nil ) ),
inference(superposition,[status(thm)],[c_26728,c_366]) ).
tcf(c_26736,plain,
( ( app(skaf47(sk8,sk8),sk8) = nil )
| ~ ssList(skaf48(sk8,sk8))
| ~ ssList(app(skaf47(sk8,sk8),sk8))
| ( sk8 != nil ) ),
inference(superposition,[status(thm)],[c_26728,c_365]) ).
tcf(c_26737,plain,
( frontsegP(sk8,app(skaf47(sk8,sk8),sk8))
| ~ ssList(skaf48(sk8,sk8))
| ~ ssList(app(skaf47(sk8,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_26728,c_808]) ).
tcf(c_26738,plain,
( rearsegP(sk8,skaf48(sk8,sk8))
| ~ ssList(skaf48(sk8,sk8))
| ~ ssList(app(skaf47(sk8,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_26728,c_807]) ).
tcf(c_26739,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ~ ssItem(X0)
| ~ ssList(skaf48(sk8,sk8))
| ~ memberP(skaf48(sk8,sk8),X0)
| ~ ssList(app(skaf47(sk8,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_26728,c_388]) ).
tcf(c_26740,plain,
! [X0: $i] :
( rearsegP(sk8,X0)
| ~ ssList(X0)
| ~ ssList(skaf48(sk8,sk8))
| ~ rearsegP(skaf48(sk8,sk8),X0)
| ~ ssList(app(skaf47(sk8,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_26728,c_383]) ).
tcf(c_26741,plain,
! [X0: $i] :
( ( skaf48(sk8,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf48(sk8,sk8))
| ~ ssList(app(skaf47(sk8,sk8),sk8))
| ( app(app(skaf47(sk8,sk8),sk8),X0) != sk8 ) ),
inference(superposition,[status(thm)],[c_26728,c_397]) ).
tcf(c_26742,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ~ ssItem(X0)
| ~ ssList(skaf48(sk8,sk8))
| ~ ssList(app(skaf47(sk8,sk8),sk8))
| ~ memberP(app(skaf47(sk8,sk8),sk8),X0) ),
inference(superposition,[status(thm)],[c_26728,c_387]) ).
tcf(c_26743,plain,
! [X0: $i] :
( frontsegP(sk8,X0)
| ~ ssList(X0)
| ~ ssList(skaf48(sk8,sk8))
| ~ ssList(app(skaf47(sk8,sk8),sk8))
| ~ frontsegP(app(skaf47(sk8,sk8),sk8),X0) ),
inference(superposition,[status(thm)],[c_26728,c_384]) ).
tcf(c_26744,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk8,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf48(sk8,sk8))
| ~ segmentP(skaf48(sk8,sk8),X0)
| ~ ssList(app(skaf47(sk8,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_26728,c_419]) ).
tcf(c_26747,plain,
( rearsegP(sk8,skaf48(sk8,sk8))
| ~ ssList(app(skaf47(sk8,sk8),sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26738,c_295]) ).
tcf(c_26750,plain,
( frontsegP(sk8,app(skaf47(sk8,sk8),sk8))
| ~ ssList(app(skaf47(sk8,sk8),sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26737,c_295]) ).
tcf(c_26753,plain,
( ( skaf48(sk8,sk8) = nil )
| ~ ssList(app(skaf47(sk8,sk8),sk8))
| ( sk8 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26735,c_295]) ).
tcf(c_26757,plain,
! [X0: $i] :
( rearsegP(sk8,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf48(sk8,sk8),X0)
| ~ ssList(app(skaf47(sk8,sk8),sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26740,c_295]) ).
tcf(c_26762,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ~ ssItem(X0)
| ~ memberP(skaf48(sk8,sk8),X0)
| ~ ssList(app(skaf47(sk8,sk8),sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26739,c_295]) ).
tcf(c_26767,plain,
( ( app(skaf47(sk8,sk8),sk8) = nil )
| ~ ssList(app(skaf47(sk8,sk8),sk8))
| ( sk8 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26736,c_295]) ).
tcf(c_26771,plain,
! [X0: $i] :
( frontsegP(sk8,X0)
| ~ ssList(X0)
| ~ ssList(app(skaf47(sk8,sk8),sk8))
| ~ frontsegP(app(skaf47(sk8,sk8),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26743,c_295]) ).
tcf(c_26776,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ~ ssItem(X0)
| ~ ssList(app(skaf47(sk8,sk8),sk8))
| ~ memberP(app(skaf47(sk8,sk8),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26742,c_295]) ).
tcf(c_26781,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk8,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf48(sk8,sk8),X0)
| ~ ssList(app(skaf47(sk8,sk8),sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26744,c_295]) ).
tcf(c_26787,plain,
! [X0: $i] :
( memberP(skaf48(sk8,sk8),X0)
| memberP(app(skaf47(sk8,sk8),sk8),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(skaf47(sk8,sk8),sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26734,c_295]) ).
tcf(c_26793,plain,
! [X0: $i] :
( ( skaf48(sk8,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(app(skaf47(sk8,sk8),sk8))
| ( app(app(skaf47(sk8,sk8),sk8),X0) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26741,c_295]) ).
tcf(c_26798,plain,
! [X0: $i] :
( ( app(skaf47(sk8,sk8),sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(app(skaf47(sk8,sk8),sk8))
| ( app(X0,skaf48(sk8,sk8)) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26732,c_295]) ).
tcf(c_26803,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),skaf48(sk8,sk8))
| ~ ssList(X0)
| ~ ssList(skaf48(sk8,sk8))
| ~ ssList(app(sk8,X0))
| ~ ssList(app(skaf47(sk8,sk8),sk8)) ),
inference(light_normalisation,[status(thm)],[c_26731,c_26728]) ).
tcf(c_26804,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),skaf48(sk8,sk8))
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(app(skaf47(sk8,sk8),sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26803,c_295]) ).
tcf(c_26860,plain,
( segmentP(iPr_def_13,sk7)
| ~ ssList(iPr_def_12)
| ~ ssList(app(sk7,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_6474,c_20769]) ).
tcf(c_26861,plain,
( segmentP(sk7,sk7)
| ~ ssList(nil)
| ~ ssList(app(sk7,nil)) ),
inference(superposition,[status(thm)],[c_9102,c_20769]) ).
tcf(c_26863,plain,
( segmentP(iPr_def_15,sk7)
| ~ ssList(skaf45(iPr_def_15,sk7))
| ~ ssList(app(sk7,skaf45(iPr_def_15,sk7))) ),
inference(superposition,[status(thm)],[c_24730,c_20769]) ).
tcf(c_26864,plain,
( segmentP(iPr_def_16,sk7)
| ~ ssList(skaf45(iPr_def_16,sk7))
| ~ ssList(app(sk7,skaf45(iPr_def_16,sk7))) ),
inference(superposition,[status(thm)],[c_26335,c_20769]) ).
tcf(c_26865,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,X1))
| ~ segmentP(X0,app(sk7,X1)) ),
inference(superposition,[status(thm)],[c_20769,c_399]) ).
tcf(c_26866,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk7,X0),sk7),sk7),skaf48(sk7,app(sk7,X0))) = app(sk7,X0) )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0)) ),
inference(superposition,[status(thm)],[c_20769,c_415]) ).
tcf(c_26867,plain,
! [X0: $i] :
( ( app(sk7,X0) = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(sk7,app(sk7,X0)) ),
inference(superposition,[status(thm)],[c_20769,c_374]) ).
tcf(c_26868,plain,
( segmentP(sk7,sk7)
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(light_normalisation,[status(thm)],[c_26861,c_9102]) ).
tcf(c_26869,plain,
segmentP(sk7,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_26868,c_255,c_6483]) ).
tcf(c_26870,plain,
( segmentP(iPr_def_13,sk7)
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_26860,c_6474]) ).
tcf(c_26871,plain,
segmentP(iPr_def_13,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_26870,c_9527,c_9489]) ).
tcf(c_26872,plain,
( segmentP(iPr_def_16,sk7)
| ~ ssList(iPr_def_16)
| ~ ssList(skaf45(iPr_def_16,sk7)) ),
inference(light_normalisation,[status(thm)],[c_26864,c_26335]) ).
tcf(c_26873,plain,
segmentP(iPr_def_16,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_26872,c_9020,c_298]) ).
tcf(c_26874,plain,
( segmentP(iPr_def_15,sk7)
| ~ ssList(iPr_def_15)
| ~ ssList(skaf45(iPr_def_15,sk7)) ),
inference(light_normalisation,[status(thm)],[c_26863,c_24730]) ).
tcf(c_26875,plain,
segmentP(iPr_def_15,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_26874,c_24748,c_298]) ).
tcf(c_26876,plain,
! [X0: $i] :
( ( app(sk7,X0) = sk7 )
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(sk7,app(sk7,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26867,c_6483]) ).
tcf(c_26881,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,X1))
| ~ segmentP(X0,app(sk7,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26865,c_6483]) ).
tcf(c_26887,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk7,X0),sk7),sk7),skaf48(sk7,app(sk7,X0))) = app(sk7,X0) )
| ~ ssList(X0)
| ~ ssList(app(sk7,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26866,c_6483]) ).
tcf(c_27016,plain,
( ( app(app(skaf47(sk7,sk7),sk7),skaf48(sk7,sk7)) = sk7 )
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_26869,c_415]) ).
tcf(c_27018,plain,
app(app(skaf47(sk7,sk7),sk7),skaf48(sk7,sk7)) = sk7,
inference(forward_subsumption_resolution,[status(thm)],[c_27016,c_6483]) ).
tcf(c_27021,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf75(X0),X1),skaf75(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf75(X0))
| ~ ssList(app(app(nil,skaf75(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9205,c_420]) ).
tcf(c_27022,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ( app(X0,skaf75(X1)) != skaf75(X1) ) ),
inference(superposition,[status(thm)],[c_9205,c_398]) ).
tcf(c_27027,plain,
! [X0: $i] :
( frontsegP(skaf75(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf75(X0)) ),
inference(superposition,[status(thm)],[c_9205,c_808]) ).
tcf(c_27028,plain,
! [X0: $i] :
( rearsegP(skaf75(X0),skaf75(X0))
| ~ ssList(nil)
| ~ ssList(skaf75(X0)) ),
inference(superposition,[status(thm)],[c_9205,c_807]) ).
tcf(c_27031,plain,
! [X0: $i,X1: $i] :
( ( skaf75(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ( app(nil,X0) != skaf75(X1) ) ),
inference(superposition,[status(thm)],[c_9205,c_397]) ).
tcf(c_27033,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf75(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf75(X0)) ),
inference(superposition,[status(thm)],[c_9205,c_384]) ).
tcf(c_27034,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf75(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf75(X0))
| ~ segmentP(skaf75(X0),X1) ),
inference(superposition,[status(thm)],[c_9205,c_419]) ).
tcf(c_27035,plain,
! [X0: $i] : frontsegP(skaf75(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_27027,c_255,c_267]) ).
tcf(c_27036,plain,
! [X0: $i] : rearsegP(skaf75(X0),skaf75(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_27028,c_255,c_267]) ).
tcf(c_27037,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf75(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27033,c_255,c_267]) ).
tcf(c_27041,plain,
! [X0: $i,X1: $i] :
( ( skaf75(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf75(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27031,c_255,c_267]) ).
tcf(c_27045,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf75(X1)) != skaf75(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27022,c_255,c_267]) ).
tcf(c_27049,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf75(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf75(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27034,c_255,c_267]) ).
tcf(c_27054,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf75(X0),X1),skaf75(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf75(X0))
| ~ ssList(app(skaf75(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_27021,c_9205]) ).
tcf(c_27055,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf75(X0),X1),skaf75(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf75(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27054,c_255,c_267]) ).
tcf(c_27063,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(iPr_def_13)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_26871,c_399]) ).
tcf(c_27064,plain,
( ( app(app(skaf47(iPr_def_13,sk7),sk7),skaf48(sk7,iPr_def_13)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_26871,c_415]) ).
tcf(c_27065,plain,
( ( sk7 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sk7)
| ~ segmentP(sk7,iPr_def_13) ),
inference(superposition,[status(thm)],[c_26871,c_374]) ).
tcf(c_27066,plain,
( ( sk7 = iPr_def_13 )
| ~ segmentP(sk7,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27065,c_9527,c_6483]) ).
tcf(c_27069,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27063,c_9527,c_6483]) ).
tcf(c_27073,plain,
app(app(skaf47(iPr_def_13,sk7),sk7),skaf48(sk7,iPr_def_13)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_27064,c_9527,c_6483]) ).
tcf(c_27075,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf75(X1))
| ~ frontsegP(X0,skaf75(X1)) ),
inference(superposition,[status(thm)],[c_27035,c_401]) ).
tcf(c_27076,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf75(X0),nil)) = skaf75(X0) )
| ~ ssList(nil)
| ~ ssList(skaf75(X0)) ),
inference(superposition,[status(thm)],[c_27035,c_379]) ).
tcf(c_27077,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf75(X0))
| ~ frontsegP(nil,skaf75(X0)) ),
inference(superposition,[status(thm)],[c_27035,c_376]) ).
tcf(c_27078,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ~ frontsegP(nil,skaf75(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27077,c_255,c_267]) ).
tcf(c_27081,plain,
! [X0: $i] : app(nil,skaf45(skaf75(X0),nil)) = skaf75(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_27076,c_255,c_267]) ).
tcf(c_27086,plain,
! [X0: $i] :
( ( app(skaf46(skaf75(X0),skaf75(X0)),skaf75(X0)) = skaf75(X0) )
| ~ ssList(skaf75(X0)) ),
inference(superposition,[status(thm)],[c_27036,c_378]) ).
tcf(c_27088,plain,
! [X0: $i] : app(skaf46(skaf75(X0),skaf75(X0)),skaf75(X0)) = skaf75(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_27086,c_267]) ).
tcf(c_27091,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(iPr_def_16)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_26873,c_399]) ).
tcf(c_27092,plain,
( ( app(app(skaf47(iPr_def_16,sk7),sk7),skaf48(sk7,iPr_def_16)) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_26873,c_415]) ).
tcf(c_27093,plain,
( ( sk7 = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(sk7)
| ~ segmentP(sk7,iPr_def_16) ),
inference(superposition,[status(thm)],[c_26873,c_374]) ).
tcf(c_27094,plain,
( ( sk7 = iPr_def_16 )
| ~ segmentP(sk7,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27093,c_9020,c_6483]) ).
tcf(c_27097,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27091,c_9020,c_6483]) ).
tcf(c_27101,plain,
app(app(skaf47(iPr_def_16,sk7),sk7),skaf48(sk7,iPr_def_16)) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_27092,c_9020,c_6483]) ).
tcf(c_27103,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(iPr_def_15)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_26875,c_399]) ).
tcf(c_27104,plain,
( ( app(app(skaf47(iPr_def_15,sk7),sk7),skaf48(sk7,iPr_def_15)) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_26875,c_415]) ).
tcf(c_27105,plain,
( ( sk7 = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(sk7)
| ~ segmentP(sk7,iPr_def_15) ),
inference(superposition,[status(thm)],[c_26875,c_374]) ).
tcf(c_27106,plain,
( ( sk7 = iPr_def_15 )
| ~ segmentP(sk7,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27105,c_24748,c_6483]) ).
tcf(c_27109,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27103,c_24748,c_6483]) ).
tcf(c_27113,plain,
app(app(skaf47(iPr_def_15,sk7),sk7),skaf48(sk7,iPr_def_15)) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_27104,c_24748,c_6483]) ).
tcf(c_27115,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,iPr_def_12) = nil )
| ( cons(sk9,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,iPr_def_12))
| ( tl(X0) != iPr_def_12 )
| ( hd(cons(sk9,iPr_def_12)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10564,c_424]) ).
tcf(c_27118,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,iPr_def_12) = nil )
| ( cons(sk9,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,iPr_def_12))
| ( hd(X0) != sk9 )
| ( tl(X0) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_27115,c_11381]) ).
tcf(c_27126,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,iPr_def_14) = nil )
| ( cons(sk9,iPr_def_14) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,iPr_def_14))
| ( tl(X0) != iPr_def_14 )
| ( hd(cons(sk9,iPr_def_14)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_10565,c_424]) ).
tcf(c_27129,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk9,iPr_def_14) = nil )
| ( cons(sk9,iPr_def_14) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk9,iPr_def_14))
| ( hd(X0) != sk9 )
| ( tl(X0) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_27126,c_11382]) ).
tcf(c_27191,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),sk7)
| ~ ssList(iPr_def_13)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,iPr_def_13)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_419,c_27069]) ).
tcf(c_27192,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,iPr_def_13),X1),sk7)
| ~ ssList(iPr_def_13)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_13),X1)) ),
inference(superposition,[status(thm)],[c_420,c_27069]) ).
tcf(c_27193,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,iPr_def_13),X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_13),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27192,c_9527]) ).
tcf(c_27198,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),sk7)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,iPr_def_13)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27191,c_9527]) ).
tcf(c_27214,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),sk7)
| ~ ssList(iPr_def_16)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,iPr_def_16)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_419,c_27097]) ).
tcf(c_27215,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,iPr_def_16),X1),sk7)
| ~ ssList(iPr_def_16)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_16),X1)) ),
inference(superposition,[status(thm)],[c_420,c_27097]) ).
tcf(c_27216,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,iPr_def_16),X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_16),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27215,c_9020]) ).
tcf(c_27221,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),sk7)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,iPr_def_16)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27214,c_9020]) ).
tcf(c_27237,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),sk7)
| ~ ssList(iPr_def_15)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,iPr_def_15)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_419,c_27109]) ).
tcf(c_27238,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,iPr_def_15),X1),sk7)
| ~ ssList(iPr_def_15)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_15),X1)) ),
inference(superposition,[status(thm)],[c_420,c_27109]) ).
tcf(c_27239,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,iPr_def_15),X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_15),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27238,c_24748]) ).
tcf(c_27244,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),sk7)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,iPr_def_15)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27237,c_24748]) ).
tcf(c_27255,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),skaf48(sk7,sk7))
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,sk7))
| ~ ssList(app(skaf47(sk7,sk7),sk7))
| ~ ssList(app(app(app(skaf47(sk7,sk7),sk7),skaf48(sk7,sk7)),X0)) ),
inference(superposition,[status(thm)],[c_27018,c_420]) ).
tcf(c_27256,plain,
! [X0: $i] :
( ( app(skaf47(sk7,sk7),sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,sk7))
| ~ ssList(app(skaf47(sk7,sk7),sk7))
| ( app(X0,skaf48(sk7,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_27018,c_398]) ).
tcf(c_27258,plain,
! [X0: $i] :
( memberP(skaf48(sk7,sk7),X0)
| memberP(app(skaf47(sk7,sk7),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf48(sk7,sk7))
| ~ ssList(app(skaf47(sk7,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27018,c_405]) ).
tcf(c_27259,plain,
( ( skaf48(sk7,sk7) = nil )
| ~ ssList(skaf48(sk7,sk7))
| ~ ssList(app(skaf47(sk7,sk7),sk7))
| ( sk7 != nil ) ),
inference(superposition,[status(thm)],[c_27018,c_366]) ).
tcf(c_27260,plain,
( ( app(skaf47(sk7,sk7),sk7) = nil )
| ~ ssList(skaf48(sk7,sk7))
| ~ ssList(app(skaf47(sk7,sk7),sk7))
| ( sk7 != nil ) ),
inference(superposition,[status(thm)],[c_27018,c_365]) ).
tcf(c_27261,plain,
( frontsegP(sk7,app(skaf47(sk7,sk7),sk7))
| ~ ssList(skaf48(sk7,sk7))
| ~ ssList(app(skaf47(sk7,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27018,c_808]) ).
tcf(c_27262,plain,
( rearsegP(sk7,skaf48(sk7,sk7))
| ~ ssList(skaf48(sk7,sk7))
| ~ ssList(app(skaf47(sk7,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27018,c_807]) ).
tcf(c_27263,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ~ ssItem(X0)
| ~ ssList(skaf48(sk7,sk7))
| ~ memberP(skaf48(sk7,sk7),X0)
| ~ ssList(app(skaf47(sk7,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27018,c_388]) ).
tcf(c_27264,plain,
! [X0: $i] :
( rearsegP(sk7,X0)
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,sk7))
| ~ rearsegP(skaf48(sk7,sk7),X0)
| ~ ssList(app(skaf47(sk7,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27018,c_383]) ).
tcf(c_27265,plain,
! [X0: $i] :
( ( skaf48(sk7,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,sk7))
| ~ ssList(app(skaf47(sk7,sk7),sk7))
| ( app(app(skaf47(sk7,sk7),sk7),X0) != sk7 ) ),
inference(superposition,[status(thm)],[c_27018,c_397]) ).
tcf(c_27266,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ~ ssItem(X0)
| ~ ssList(skaf48(sk7,sk7))
| ~ ssList(app(skaf47(sk7,sk7),sk7))
| ~ memberP(app(skaf47(sk7,sk7),sk7),X0) ),
inference(superposition,[status(thm)],[c_27018,c_387]) ).
tcf(c_27267,plain,
! [X0: $i] :
( frontsegP(sk7,X0)
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,sk7))
| ~ ssList(app(skaf47(sk7,sk7),sk7))
| ~ frontsegP(app(skaf47(sk7,sk7),sk7),X0) ),
inference(superposition,[status(thm)],[c_27018,c_384]) ).
tcf(c_27268,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk7,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,sk7))
| ~ segmentP(skaf48(sk7,sk7),X0)
| ~ ssList(app(skaf47(sk7,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27018,c_419]) ).
tcf(c_27271,plain,
( rearsegP(sk7,skaf48(sk7,sk7))
| ~ ssList(app(skaf47(sk7,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27262,c_295]) ).
tcf(c_27274,plain,
( frontsegP(sk7,app(skaf47(sk7,sk7),sk7))
| ~ ssList(app(skaf47(sk7,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27261,c_295]) ).
tcf(c_27277,plain,
( ( skaf48(sk7,sk7) = nil )
| ~ ssList(app(skaf47(sk7,sk7),sk7))
| ( sk7 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27259,c_295]) ).
tcf(c_27281,plain,
! [X0: $i] :
( rearsegP(sk7,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf48(sk7,sk7),X0)
| ~ ssList(app(skaf47(sk7,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27264,c_295]) ).
tcf(c_27286,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ~ ssItem(X0)
| ~ memberP(skaf48(sk7,sk7),X0)
| ~ ssList(app(skaf47(sk7,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27263,c_295]) ).
tcf(c_27291,plain,
( ( app(skaf47(sk7,sk7),sk7) = nil )
| ~ ssList(app(skaf47(sk7,sk7),sk7))
| ( sk7 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27260,c_295]) ).
tcf(c_27295,plain,
! [X0: $i] :
( frontsegP(sk7,X0)
| ~ ssList(X0)
| ~ ssList(app(skaf47(sk7,sk7),sk7))
| ~ frontsegP(app(skaf47(sk7,sk7),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27267,c_295]) ).
tcf(c_27300,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ~ ssItem(X0)
| ~ ssList(app(skaf47(sk7,sk7),sk7))
| ~ memberP(app(skaf47(sk7,sk7),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27266,c_295]) ).
tcf(c_27305,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk7,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf48(sk7,sk7),X0)
| ~ ssList(app(skaf47(sk7,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27268,c_295]) ).
tcf(c_27311,plain,
! [X0: $i] :
( memberP(skaf48(sk7,sk7),X0)
| memberP(app(skaf47(sk7,sk7),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(skaf47(sk7,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27258,c_295]) ).
tcf(c_27317,plain,
! [X0: $i] :
( ( skaf48(sk7,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(skaf47(sk7,sk7),sk7))
| ( app(app(skaf47(sk7,sk7),sk7),X0) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27265,c_295]) ).
tcf(c_27322,plain,
! [X0: $i] :
( ( app(skaf47(sk7,sk7),sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(skaf47(sk7,sk7),sk7))
| ( app(X0,skaf48(sk7,sk7)) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27256,c_295]) ).
tcf(c_27327,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),skaf48(sk7,sk7))
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,sk7))
| ~ ssList(app(sk7,X0))
| ~ ssList(app(skaf47(sk7,sk7),sk7)) ),
inference(light_normalisation,[status(thm)],[c_27255,c_27018]) ).
tcf(c_27328,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),skaf48(sk7,sk7))
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(app(skaf47(sk7,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27327,c_295]) ).
tcf(c_27342,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),skaf48(sk7,iPr_def_13))
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_13))
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7))
| ~ ssList(app(app(app(skaf47(iPr_def_13,sk7),sk7),skaf48(sk7,iPr_def_13)),X0)) ),
inference(superposition,[status(thm)],[c_27073,c_420]) ).
tcf(c_27343,plain,
! [X0: $i] :
( ( app(skaf47(iPr_def_13,sk7),sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_13))
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7))
| ( app(X0,skaf48(sk7,iPr_def_13)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27073,c_398]) ).
tcf(c_27345,plain,
! [X0: $i] :
( memberP(skaf48(sk7,iPr_def_13),X0)
| memberP(app(skaf47(iPr_def_13,sk7),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(skaf48(sk7,iPr_def_13))
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27073,c_405]) ).
tcf(c_27348,plain,
( frontsegP(iPr_def_13,app(skaf47(iPr_def_13,sk7),sk7))
| ~ ssList(skaf48(sk7,iPr_def_13))
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27073,c_808]) ).
tcf(c_27349,plain,
( rearsegP(iPr_def_13,skaf48(sk7,iPr_def_13))
| ~ ssList(skaf48(sk7,iPr_def_13))
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27073,c_807]) ).
tcf(c_27350,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(skaf48(sk7,iPr_def_13))
| ~ memberP(skaf48(sk7,iPr_def_13),X0)
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27073,c_388]) ).
tcf(c_27351,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_13))
| ~ rearsegP(skaf48(sk7,iPr_def_13),X0)
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27073,c_383]) ).
tcf(c_27352,plain,
! [X0: $i] :
( ( skaf48(sk7,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_13))
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7))
| ( app(app(skaf47(iPr_def_13,sk7),sk7),X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_27073,c_397]) ).
tcf(c_27353,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(skaf48(sk7,iPr_def_13))
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7))
| ~ memberP(app(skaf47(iPr_def_13,sk7),sk7),X0) ),
inference(superposition,[status(thm)],[c_27073,c_387]) ).
tcf(c_27354,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_13))
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7))
| ~ frontsegP(app(skaf47(iPr_def_13,sk7),sk7),X0) ),
inference(superposition,[status(thm)],[c_27073,c_384]) ).
tcf(c_27355,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_13))
| ~ segmentP(skaf48(sk7,iPr_def_13),X0)
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27073,c_419]) ).
tcf(c_27356,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(skaf47(iPr_def_13,sk7))
| ~ ssList(skaf48(sk7,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_27073,c_419]) ).
tcf(c_27358,plain,
( rearsegP(iPr_def_13,skaf48(sk7,iPr_def_13))
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27349,c_295]) ).
tcf(c_27361,plain,
( frontsegP(iPr_def_13,app(skaf47(iPr_def_13,sk7),sk7))
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27348,c_295]) ).
tcf(c_27364,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27356,c_6483,c_296,c_295]) ).
tcf(c_27368,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf48(sk7,iPr_def_13),X0)
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27351,c_295]) ).
tcf(c_27373,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(skaf48(sk7,iPr_def_13),X0)
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27350,c_295]) ).
tcf(c_27378,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7))
| ~ frontsegP(app(skaf47(iPr_def_13,sk7),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27354,c_295]) ).
tcf(c_27383,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7))
| ~ memberP(app(skaf47(iPr_def_13,sk7),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27353,c_295]) ).
tcf(c_27388,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf48(sk7,iPr_def_13),X0)
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27355,c_295]) ).
tcf(c_27394,plain,
! [X0: $i] :
( memberP(skaf48(sk7,iPr_def_13),X0)
| memberP(app(skaf47(iPr_def_13,sk7),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27345,c_295]) ).
tcf(c_27400,plain,
! [X0: $i] :
( ( skaf48(sk7,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7))
| ( app(app(skaf47(iPr_def_13,sk7),sk7),X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27352,c_295]) ).
tcf(c_27405,plain,
! [X0: $i] :
( ( app(skaf47(iPr_def_13,sk7),sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7))
| ( app(X0,skaf48(sk7,iPr_def_13)) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27343,c_295]) ).
tcf(c_27410,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),skaf48(sk7,iPr_def_13))
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_13))
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7)) ),
inference(light_normalisation,[status(thm)],[c_27342,c_27073]) ).
tcf(c_27411,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),skaf48(sk7,iPr_def_13))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(app(skaf47(iPr_def_13,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27410,c_295]) ).
tcf(c_27513,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf73(X0),X1),skaf73(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf73(X0))
| ~ ssList(app(app(nil,skaf73(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9206,c_420]) ).
tcf(c_27514,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ( app(X0,skaf73(X1)) != skaf73(X1) ) ),
inference(superposition,[status(thm)],[c_9206,c_398]) ).
tcf(c_27519,plain,
! [X0: $i] :
( frontsegP(skaf73(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf73(X0)) ),
inference(superposition,[status(thm)],[c_9206,c_808]) ).
tcf(c_27520,plain,
! [X0: $i] :
( rearsegP(skaf73(X0),skaf73(X0))
| ~ ssList(nil)
| ~ ssList(skaf73(X0)) ),
inference(superposition,[status(thm)],[c_9206,c_807]) ).
tcf(c_27523,plain,
! [X0: $i,X1: $i] :
( ( skaf73(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ( app(nil,X0) != skaf73(X1) ) ),
inference(superposition,[status(thm)],[c_9206,c_397]) ).
tcf(c_27525,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf73(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf73(X0)) ),
inference(superposition,[status(thm)],[c_9206,c_384]) ).
tcf(c_27526,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf73(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf73(X0))
| ~ segmentP(skaf73(X0),X1) ),
inference(superposition,[status(thm)],[c_9206,c_419]) ).
tcf(c_27527,plain,
! [X0: $i] : frontsegP(skaf73(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_27519,c_255,c_269]) ).
tcf(c_27528,plain,
! [X0: $i] : rearsegP(skaf73(X0),skaf73(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_27520,c_255,c_269]) ).
tcf(c_27529,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf73(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27525,c_255,c_269]) ).
tcf(c_27533,plain,
! [X0: $i,X1: $i] :
( ( skaf73(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf73(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27523,c_255,c_269]) ).
tcf(c_27537,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf73(X1)) != skaf73(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27514,c_255,c_269]) ).
tcf(c_27541,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf73(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf73(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27526,c_255,c_269]) ).
tcf(c_27546,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf73(X0),X1),skaf73(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf73(X0))
| ~ ssList(app(skaf73(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_27513,c_9206]) ).
tcf(c_27547,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf73(X0),X1),skaf73(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf73(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27546,c_255,c_269]) ).
tcf(c_27641,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf73(X1))
| ~ frontsegP(X0,skaf73(X1)) ),
inference(superposition,[status(thm)],[c_27527,c_401]) ).
tcf(c_27642,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf73(X0),nil)) = skaf73(X0) )
| ~ ssList(nil)
| ~ ssList(skaf73(X0)) ),
inference(superposition,[status(thm)],[c_27527,c_379]) ).
tcf(c_27643,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf73(X0))
| ~ frontsegP(nil,skaf73(X0)) ),
inference(superposition,[status(thm)],[c_27527,c_376]) ).
tcf(c_27644,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ~ frontsegP(nil,skaf73(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27643,c_255,c_269]) ).
tcf(c_27647,plain,
! [X0: $i] : app(nil,skaf45(skaf73(X0),nil)) = skaf73(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_27642,c_255,c_269]) ).
tcf(c_27652,plain,
! [X0: $i] :
( ( app(skaf46(skaf73(X0),skaf73(X0)),skaf73(X0)) = skaf73(X0) )
| ~ ssList(skaf73(X0)) ),
inference(superposition,[status(thm)],[c_27528,c_378]) ).
tcf(c_27654,plain,
! [X0: $i] : app(skaf46(skaf73(X0),skaf73(X0)),skaf73(X0)) = skaf73(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_27652,c_269]) ).
tcf(c_27656,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,iPr_def_16)))
| ( cons(sk6,iPr_def_16) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,iPr_def_16))
| ~ ssList(cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_11255,c_407]) ).
tcf(c_27657,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,iPr_def_16)))
| ( cons(sk6,iPr_def_16) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,iPr_def_16))
| ~ ssList(cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_11255,c_406]) ).
tcf(c_27673,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk9,nil)))
| ( cons(sk9,nil) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk9)
| ~ strictorderedP(cons(sk9,nil))
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_11348,c_407]) ).
tcf(c_27674,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk9,nil)))
| ( cons(sk9,nil) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk9)
| ~ totalorderedP(cons(sk9,nil))
| ~ ssList(cons(sk9,nil)) ),
inference(superposition,[status(thm)],[c_11348,c_406]) ).
tcf(c_27690,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,iPr_def_13)))
| ( cons(sk5,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,iPr_def_13))
| ~ ssList(cons(sk5,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_10684,c_407]) ).
tcf(c_27691,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,iPr_def_13)))
| ( cons(sk5,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,iPr_def_13))
| ~ ssList(cons(sk5,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_10684,c_406]) ).
tcf(c_27707,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,iPr_def_12)))
| ( cons(sk5,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,iPr_def_12))
| ~ ssList(cons(sk5,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_10685,c_407]) ).
tcf(c_27708,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,iPr_def_12)))
| ( cons(sk5,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,iPr_def_12))
| ~ ssList(cons(sk5,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_10685,c_406]) ).
tcf(c_27724,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,iPr_def_14)))
| ( cons(sk5,iPr_def_14) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,iPr_def_14))
| ~ ssList(cons(sk5,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_10686,c_407]) ).
tcf(c_27725,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,iPr_def_14)))
| ( cons(sk5,iPr_def_14) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,iPr_def_14))
| ~ ssList(cons(sk5,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_10686,c_406]) ).
tcf(c_27741,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,iPr_def_13)))
| ( cons(sk6,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,iPr_def_13))
| ~ ssList(cons(sk6,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_11256,c_407]) ).
tcf(c_27742,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,iPr_def_13)))
| ( cons(sk6,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,iPr_def_13))
| ~ ssList(cons(sk6,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_11256,c_406]) ).
tcf(c_27764,plain,
( segmentP(iPr_def_13,nil)
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_303,c_27364]) ).
tcf(c_27767,plain,
segmentP(iPr_def_13,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_27764,c_255,c_6483]) ).
tcf(c_27768,plain,
! [X0: $i] :
( segmentP(X0,nil)
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_27767,c_399]) ).
tcf(c_27769,plain,
( ( app(app(skaf47(iPr_def_13,nil),nil),skaf48(nil,iPr_def_13)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_27767,c_415]) ).
tcf(c_27770,plain,
( ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil)
| ~ segmentP(nil,iPr_def_13) ),
inference(superposition,[status(thm)],[c_27767,c_374]) ).
tcf(c_27771,plain,
~ segmentP(nil,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_27770,c_11687,c_9527,c_255]) ).
tcf(c_27773,plain,
app(app(skaf47(iPr_def_13,nil),nil),skaf48(nil,iPr_def_13)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_27769,c_9527,c_255]) ).
tcf(c_27776,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),skaf48(sk7,iPr_def_16))
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7))
| ~ ssList(app(app(app(skaf47(iPr_def_16,sk7),sk7),skaf48(sk7,iPr_def_16)),X0)) ),
inference(superposition,[status(thm)],[c_27101,c_420]) ).
tcf(c_27777,plain,
! [X0: $i] :
( ( app(skaf47(iPr_def_16,sk7),sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7))
| ( app(X0,skaf48(sk7,iPr_def_16)) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_27101,c_398]) ).
tcf(c_27779,plain,
! [X0: $i] :
( memberP(skaf48(sk7,iPr_def_16),X0)
| memberP(app(skaf47(iPr_def_16,sk7),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0)
| ~ ssList(skaf48(sk7,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27101,c_405]) ).
tcf(c_27782,plain,
( frontsegP(iPr_def_16,app(skaf47(iPr_def_16,sk7),sk7))
| ~ ssList(skaf48(sk7,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27101,c_808]) ).
tcf(c_27783,plain,
( rearsegP(iPr_def_16,skaf48(sk7,iPr_def_16))
| ~ ssList(skaf48(sk7,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27101,c_807]) ).
tcf(c_27784,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ ssList(skaf48(sk7,iPr_def_16))
| ~ memberP(skaf48(sk7,iPr_def_16),X0)
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27101,c_388]) ).
tcf(c_27785,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_16))
| ~ rearsegP(skaf48(sk7,iPr_def_16),X0)
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27101,c_383]) ).
tcf(c_27786,plain,
! [X0: $i] :
( ( skaf48(sk7,iPr_def_16) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7))
| ( app(app(skaf47(iPr_def_16,sk7),sk7),X0) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_27101,c_397]) ).
tcf(c_27787,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ ssList(skaf48(sk7,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7))
| ~ memberP(app(skaf47(iPr_def_16,sk7),sk7),X0) ),
inference(superposition,[status(thm)],[c_27101,c_387]) ).
tcf(c_27788,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7))
| ~ frontsegP(app(skaf47(iPr_def_16,sk7),sk7),X0) ),
inference(superposition,[status(thm)],[c_27101,c_384]) ).
tcf(c_27789,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_16))
| ~ segmentP(skaf48(sk7,iPr_def_16),X0)
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27101,c_419]) ).
tcf(c_27790,plain,
! [X0: $i] :
( segmentP(iPr_def_16,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(skaf47(iPr_def_16,sk7))
| ~ ssList(skaf48(sk7,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_27101,c_419]) ).
tcf(c_27792,plain,
( rearsegP(iPr_def_16,skaf48(sk7,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27783,c_295]) ).
tcf(c_27795,plain,
( frontsegP(iPr_def_16,app(skaf47(iPr_def_16,sk7),sk7))
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27782,c_295]) ).
tcf(c_27798,plain,
! [X0: $i] :
( segmentP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27790,c_6483,c_296,c_295]) ).
tcf(c_27802,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf48(sk7,iPr_def_16),X0)
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27785,c_295]) ).
tcf(c_27807,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ memberP(skaf48(sk7,iPr_def_16),X0)
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27784,c_295]) ).
tcf(c_27812,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7))
| ~ frontsegP(app(skaf47(iPr_def_16,sk7),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27788,c_295]) ).
tcf(c_27817,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7))
| ~ memberP(app(skaf47(iPr_def_16,sk7),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27787,c_295]) ).
tcf(c_27822,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf48(sk7,iPr_def_16),X0)
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27789,c_295]) ).
tcf(c_27828,plain,
! [X0: $i] :
( memberP(skaf48(sk7,iPr_def_16),X0)
| memberP(app(skaf47(iPr_def_16,sk7),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0)
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27779,c_295]) ).
tcf(c_27834,plain,
! [X0: $i] :
( ( skaf48(sk7,iPr_def_16) = X0 )
| ~ ssList(X0)
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7))
| ( app(app(skaf47(iPr_def_16,sk7),sk7),X0) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27786,c_295]) ).
tcf(c_27839,plain,
! [X0: $i] :
( ( app(skaf47(iPr_def_16,sk7),sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7))
| ( app(X0,skaf48(sk7,iPr_def_16)) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27777,c_295]) ).
tcf(c_27844,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),skaf48(sk7,iPr_def_16))
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_16))
| ~ ssList(app(iPr_def_16,X0))
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7)) ),
inference(light_normalisation,[status(thm)],[c_27776,c_27101]) ).
tcf(c_27845,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),skaf48(sk7,iPr_def_16))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ ssList(app(skaf47(iPr_def_16,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27844,c_295]) ).
tcf(c_27902,plain,
( segmentP(iPr_def_16,nil)
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_303,c_27798]) ).
tcf(c_27905,plain,
segmentP(iPr_def_16,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_27902,c_255,c_6483]) ).
tcf(c_27906,plain,
! [X0: $i] :
( segmentP(X0,nil)
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_27905,c_399]) ).
tcf(c_27907,plain,
( ( app(app(skaf47(iPr_def_16,nil),nil),skaf48(nil,iPr_def_16)) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_27905,c_415]) ).
tcf(c_27908,plain,
( ( nil = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(nil)
| ~ segmentP(nil,iPr_def_16) ),
inference(superposition,[status(thm)],[c_27905,c_374]) ).
tcf(c_27909,plain,
~ segmentP(nil,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_27908,c_12352,c_9020,c_255]) ).
tcf(c_27911,plain,
app(app(skaf47(iPr_def_16,nil),nil),skaf48(nil,iPr_def_16)) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_27907,c_9020,c_255]) ).
tcf(c_27914,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),skaf48(sk7,iPr_def_15))
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_15))
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7))
| ~ ssList(app(app(app(skaf47(iPr_def_15,sk7),sk7),skaf48(sk7,iPr_def_15)),X0)) ),
inference(superposition,[status(thm)],[c_27113,c_420]) ).
tcf(c_27915,plain,
! [X0: $i] :
( ( app(skaf47(iPr_def_15,sk7),sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_15))
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7))
| ( app(X0,skaf48(sk7,iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_27113,c_398]) ).
tcf(c_27917,plain,
! [X0: $i] :
( memberP(skaf48(sk7,iPr_def_15),X0)
| memberP(app(skaf47(iPr_def_15,sk7),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_15,X0)
| ~ ssList(skaf48(sk7,iPr_def_15))
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27113,c_405]) ).
tcf(c_27920,plain,
( frontsegP(iPr_def_15,app(skaf47(iPr_def_15,sk7),sk7))
| ~ ssList(skaf48(sk7,iPr_def_15))
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27113,c_808]) ).
tcf(c_27921,plain,
( rearsegP(iPr_def_15,skaf48(sk7,iPr_def_15))
| ~ ssList(skaf48(sk7,iPr_def_15))
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27113,c_807]) ).
tcf(c_27922,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ ssList(skaf48(sk7,iPr_def_15))
| ~ memberP(skaf48(sk7,iPr_def_15),X0)
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27113,c_388]) ).
tcf(c_27923,plain,
! [X0: $i] :
( rearsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_15))
| ~ rearsegP(skaf48(sk7,iPr_def_15),X0)
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27113,c_383]) ).
tcf(c_27924,plain,
! [X0: $i] :
( ( skaf48(sk7,iPr_def_15) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_15))
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7))
| ( app(app(skaf47(iPr_def_15,sk7),sk7),X0) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_27113,c_397]) ).
tcf(c_27925,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ ssList(skaf48(sk7,iPr_def_15))
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7))
| ~ memberP(app(skaf47(iPr_def_15,sk7),sk7),X0) ),
inference(superposition,[status(thm)],[c_27113,c_387]) ).
tcf(c_27926,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_15))
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7))
| ~ frontsegP(app(skaf47(iPr_def_15,sk7),sk7),X0) ),
inference(superposition,[status(thm)],[c_27113,c_384]) ).
tcf(c_27927,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_15,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_15))
| ~ segmentP(skaf48(sk7,iPr_def_15),X0)
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_27113,c_419]) ).
tcf(c_27928,plain,
! [X0: $i] :
( segmentP(iPr_def_15,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(skaf47(iPr_def_15,sk7))
| ~ ssList(skaf48(sk7,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_27113,c_419]) ).
tcf(c_27930,plain,
( rearsegP(iPr_def_15,skaf48(sk7,iPr_def_15))
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27921,c_295]) ).
tcf(c_27933,plain,
( frontsegP(iPr_def_15,app(skaf47(iPr_def_15,sk7),sk7))
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27920,c_295]) ).
tcf(c_27936,plain,
! [X0: $i] :
( segmentP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27928,c_6483,c_296,c_295]) ).
tcf(c_27940,plain,
! [X0: $i] :
( rearsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf48(sk7,iPr_def_15),X0)
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27923,c_295]) ).
tcf(c_27945,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ memberP(skaf48(sk7,iPr_def_15),X0)
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27922,c_295]) ).
tcf(c_27950,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7))
| ~ frontsegP(app(skaf47(iPr_def_15,sk7),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27926,c_295]) ).
tcf(c_27955,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7))
| ~ memberP(app(skaf47(iPr_def_15,sk7),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27925,c_295]) ).
tcf(c_27960,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_15,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf48(sk7,iPr_def_15),X0)
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27927,c_295]) ).
tcf(c_27966,plain,
! [X0: $i] :
( memberP(skaf48(sk7,iPr_def_15),X0)
| memberP(app(skaf47(iPr_def_15,sk7),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_15,X0)
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27917,c_295]) ).
tcf(c_27972,plain,
! [X0: $i] :
( ( skaf48(sk7,iPr_def_15) = X0 )
| ~ ssList(X0)
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7))
| ( app(app(skaf47(iPr_def_15,sk7),sk7),X0) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27924,c_295]) ).
tcf(c_27977,plain,
! [X0: $i] :
( ( app(skaf47(iPr_def_15,sk7),sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7))
| ( app(X0,skaf48(sk7,iPr_def_15)) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27915,c_295]) ).
tcf(c_27982,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),skaf48(sk7,iPr_def_15))
| ~ ssList(X0)
| ~ ssList(skaf48(sk7,iPr_def_15))
| ~ ssList(app(iPr_def_15,X0))
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7)) ),
inference(light_normalisation,[status(thm)],[c_27914,c_27113]) ).
tcf(c_27983,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),skaf48(sk7,iPr_def_15))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0))
| ~ ssList(app(skaf47(iPr_def_15,sk7),sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27982,c_295]) ).
tcf(c_28002,plain,
( segmentP(iPr_def_15,nil)
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_303,c_27936]) ).
tcf(c_28005,plain,
segmentP(iPr_def_15,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_28002,c_255,c_6483]) ).
tcf(c_28006,plain,
! [X0: $i] :
( segmentP(X0,nil)
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_28005,c_399]) ).
tcf(c_28007,plain,
( ( app(app(skaf47(iPr_def_15,nil),nil),skaf48(nil,iPr_def_15)) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_28005,c_415]) ).
tcf(c_28008,plain,
( ( nil = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ segmentP(nil,iPr_def_15) ),
inference(superposition,[status(thm)],[c_28005,c_374]) ).
tcf(c_28009,plain,
~ segmentP(nil,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_28008,c_11686,c_24748,c_255]) ).
tcf(c_28011,plain,
app(app(skaf47(iPr_def_15,nil),nil),skaf48(nil,iPr_def_15)) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_28007,c_24748,c_255]) ).
tcf(c_28014,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf72(X0),X1),skaf72(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf72(X0))
| ~ ssList(app(app(nil,skaf72(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9207,c_420]) ).
tcf(c_28015,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ( app(X0,skaf72(X1)) != skaf72(X1) ) ),
inference(superposition,[status(thm)],[c_9207,c_398]) ).
tcf(c_28020,plain,
! [X0: $i] :
( frontsegP(skaf72(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf72(X0)) ),
inference(superposition,[status(thm)],[c_9207,c_808]) ).
tcf(c_28021,plain,
! [X0: $i] :
( rearsegP(skaf72(X0),skaf72(X0))
| ~ ssList(nil)
| ~ ssList(skaf72(X0)) ),
inference(superposition,[status(thm)],[c_9207,c_807]) ).
tcf(c_28024,plain,
! [X0: $i,X1: $i] :
( ( skaf72(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ( app(nil,X0) != skaf72(X1) ) ),
inference(superposition,[status(thm)],[c_9207,c_397]) ).
tcf(c_28026,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf72(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf72(X0)) ),
inference(superposition,[status(thm)],[c_9207,c_384]) ).
tcf(c_28027,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf72(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf72(X0))
| ~ segmentP(skaf72(X0),X1) ),
inference(superposition,[status(thm)],[c_9207,c_419]) ).
tcf(c_28028,plain,
! [X0: $i] : frontsegP(skaf72(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_28020,c_255,c_270]) ).
tcf(c_28029,plain,
! [X0: $i] : rearsegP(skaf72(X0),skaf72(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_28021,c_255,c_270]) ).
tcf(c_28030,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf72(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28026,c_255,c_270]) ).
tcf(c_28034,plain,
! [X0: $i,X1: $i] :
( ( skaf72(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf72(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28024,c_255,c_270]) ).
tcf(c_28038,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf72(X1)) != skaf72(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28015,c_255,c_270]) ).
tcf(c_28042,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf72(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf72(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28027,c_255,c_270]) ).
tcf(c_28047,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf72(X0),X1),skaf72(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf72(X0))
| ~ ssList(app(skaf72(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_28014,c_9207]) ).
tcf(c_28048,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf72(X0),X1),skaf72(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf72(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28047,c_255,c_270]) ).
tcf(c_28094,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf72(X1))
| ~ frontsegP(X0,skaf72(X1)) ),
inference(superposition,[status(thm)],[c_28028,c_401]) ).
tcf(c_28095,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf72(X0),nil)) = skaf72(X0) )
| ~ ssList(nil)
| ~ ssList(skaf72(X0)) ),
inference(superposition,[status(thm)],[c_28028,c_379]) ).
tcf(c_28096,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf72(X0))
| ~ frontsegP(nil,skaf72(X0)) ),
inference(superposition,[status(thm)],[c_28028,c_376]) ).
tcf(c_28097,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ~ frontsegP(nil,skaf72(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28096,c_255,c_270]) ).
tcf(c_28100,plain,
! [X0: $i] : app(nil,skaf45(skaf72(X0),nil)) = skaf72(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_28095,c_255,c_270]) ).
tcf(c_28105,plain,
! [X0: $i] :
( ( app(skaf46(skaf72(X0),skaf72(X0)),skaf72(X0)) = skaf72(X0) )
| ~ ssList(skaf72(X0)) ),
inference(superposition,[status(thm)],[c_28029,c_378]) ).
tcf(c_28107,plain,
! [X0: $i] : app(skaf46(skaf72(X0),skaf72(X0)),skaf72(X0)) = skaf72(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_28105,c_270]) ).
tcf(c_28109,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,iPr_def_12)))
| ( cons(sk6,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,iPr_def_12))
| ~ ssList(cons(sk6,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11257,c_407]) ).
tcf(c_28110,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,iPr_def_12)))
| ( cons(sk6,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,iPr_def_12))
| ~ ssList(cons(sk6,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11257,c_406]) ).
tcf(c_28126,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,iPr_def_14)))
| ( cons(sk6,iPr_def_14) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,iPr_def_14))
| ~ ssList(cons(sk6,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11258,c_407]) ).
tcf(c_28127,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,iPr_def_14)))
| ( cons(sk6,iPr_def_14) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,iPr_def_14))
| ~ ssList(cons(sk6,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11258,c_406]) ).
tcf(c_28143,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk9,iPr_def_16)))
| ( cons(sk9,iPr_def_16) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk9)
| ~ strictorderedP(cons(sk9,iPr_def_16))
| ~ ssList(cons(sk9,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_11379,c_407]) ).
tcf(c_28144,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk9,iPr_def_16)))
| ( cons(sk9,iPr_def_16) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk9)
| ~ totalorderedP(cons(sk9,iPr_def_16))
| ~ ssList(cons(sk9,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_11379,c_406]) ).
tcf(c_28166,plain,
( segmentP(sk4,sk4)
| ~ ssList(nil)
| ~ ssList(app(sk4,nil)) ),
inference(superposition,[status(thm)],[c_9101,c_20774]) ).
tcf(c_28167,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(sk4,X1)) ),
inference(superposition,[status(thm)],[c_20774,c_399]) ).
tcf(c_28168,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk4,X0),sk4),sk4),skaf48(sk4,app(sk4,X0))) = app(sk4,X0) )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(superposition,[status(thm)],[c_20774,c_415]) ).
tcf(c_28169,plain,
! [X0: $i] :
( ( app(sk4,X0) = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(sk4,app(sk4,X0)) ),
inference(superposition,[status(thm)],[c_20774,c_374]) ).
tcf(c_28170,plain,
( segmentP(sk4,sk4)
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(light_normalisation,[status(thm)],[c_28166,c_9101]) ).
tcf(c_28171,plain,
segmentP(sk4,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_28170,c_255,c_6486]) ).
tcf(c_28172,plain,
! [X0: $i] :
( ( app(sk4,X0) = sk4 )
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(sk4,app(sk4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28169,c_6486]) ).
tcf(c_28177,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(sk4,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28167,c_6486]) ).
tcf(c_28183,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk4,X0),sk4),sk4),skaf48(sk4,app(sk4,X0))) = app(sk4,X0) )
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28168,c_6486]) ).
tcf(c_28190,plain,
( ( app(app(skaf47(sk4,sk4),sk4),skaf48(sk4,sk4)) = sk4 )
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_28171,c_415]) ).
tcf(c_28192,plain,
app(app(skaf47(sk4,sk4),sk4),skaf48(sk4,sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_28190,c_6486]) ).
tcf(c_28195,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),skaf48(sk4,sk4))
| ~ ssList(X0)
| ~ ssList(skaf48(sk4,sk4))
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| ~ ssList(app(app(app(skaf47(sk4,sk4),sk4),skaf48(sk4,sk4)),X0)) ),
inference(superposition,[status(thm)],[c_28192,c_420]) ).
tcf(c_28196,plain,
! [X0: $i] :
( ( app(skaf47(sk4,sk4),sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf48(sk4,sk4))
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| ( app(X0,skaf48(sk4,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_28192,c_398]) ).
tcf(c_28198,plain,
! [X0: $i] :
( memberP(skaf48(sk4,sk4),X0)
| memberP(app(skaf47(sk4,sk4),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(skaf48(sk4,sk4))
| ~ ssList(app(skaf47(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_28192,c_405]) ).
tcf(c_28199,plain,
( ( skaf48(sk4,sk4) = nil )
| ~ ssList(skaf48(sk4,sk4))
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| ( sk4 != nil ) ),
inference(superposition,[status(thm)],[c_28192,c_366]) ).
tcf(c_28200,plain,
( ( app(skaf47(sk4,sk4),sk4) = nil )
| ~ ssList(skaf48(sk4,sk4))
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| ( sk4 != nil ) ),
inference(superposition,[status(thm)],[c_28192,c_365]) ).
tcf(c_28201,plain,
( frontsegP(sk4,app(skaf47(sk4,sk4),sk4))
| ~ ssList(skaf48(sk4,sk4))
| ~ ssList(app(skaf47(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_28192,c_808]) ).
tcf(c_28202,plain,
( rearsegP(sk4,skaf48(sk4,sk4))
| ~ ssList(skaf48(sk4,sk4))
| ~ ssList(app(skaf47(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_28192,c_807]) ).
tcf(c_28203,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(skaf48(sk4,sk4))
| ~ memberP(skaf48(sk4,sk4),X0)
| ~ ssList(app(skaf47(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_28192,c_388]) ).
tcf(c_28204,plain,
! [X0: $i] :
( rearsegP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(skaf48(sk4,sk4))
| ~ rearsegP(skaf48(sk4,sk4),X0)
| ~ ssList(app(skaf47(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_28192,c_383]) ).
tcf(c_28205,plain,
! [X0: $i] :
( ( skaf48(sk4,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf48(sk4,sk4))
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| ( app(app(skaf47(sk4,sk4),sk4),X0) != sk4 ) ),
inference(superposition,[status(thm)],[c_28192,c_397]) ).
tcf(c_28206,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(skaf48(sk4,sk4))
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| ~ memberP(app(skaf47(sk4,sk4),sk4),X0) ),
inference(superposition,[status(thm)],[c_28192,c_387]) ).
tcf(c_28207,plain,
! [X0: $i] :
( frontsegP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(skaf48(sk4,sk4))
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| ~ frontsegP(app(skaf47(sk4,sk4),sk4),X0) ),
inference(superposition,[status(thm)],[c_28192,c_384]) ).
tcf(c_28208,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk4,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf48(sk4,sk4))
| ~ segmentP(skaf48(sk4,sk4),X0)
| ~ ssList(app(skaf47(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_28192,c_419]) ).
tcf(c_28211,plain,
( rearsegP(sk4,skaf48(sk4,sk4))
| ~ ssList(app(skaf47(sk4,sk4),sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28202,c_295]) ).
tcf(c_28214,plain,
( frontsegP(sk4,app(skaf47(sk4,sk4),sk4))
| ~ ssList(app(skaf47(sk4,sk4),sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28201,c_295]) ).
tcf(c_28217,plain,
( ( skaf48(sk4,sk4) = nil )
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| ( sk4 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28199,c_295]) ).
tcf(c_28221,plain,
! [X0: $i] :
( rearsegP(sk4,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf48(sk4,sk4),X0)
| ~ ssList(app(skaf47(sk4,sk4),sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28204,c_295]) ).
tcf(c_28226,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(skaf48(sk4,sk4),X0)
| ~ ssList(app(skaf47(sk4,sk4),sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28203,c_295]) ).
tcf(c_28231,plain,
( ( app(skaf47(sk4,sk4),sk4) = nil )
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| ( sk4 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28200,c_295]) ).
tcf(c_28235,plain,
! [X0: $i] :
( frontsegP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| ~ frontsegP(app(skaf47(sk4,sk4),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28207,c_295]) ).
tcf(c_28240,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| ~ memberP(app(skaf47(sk4,sk4),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28206,c_295]) ).
tcf(c_28245,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk4,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf48(sk4,sk4),X0)
| ~ ssList(app(skaf47(sk4,sk4),sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28208,c_295]) ).
tcf(c_28251,plain,
! [X0: $i] :
( memberP(skaf48(sk4,sk4),X0)
| memberP(app(skaf47(sk4,sk4),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(skaf47(sk4,sk4),sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28198,c_295]) ).
tcf(c_28257,plain,
! [X0: $i] :
( ( skaf48(sk4,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| ( app(app(skaf47(sk4,sk4),sk4),X0) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28205,c_295]) ).
tcf(c_28262,plain,
! [X0: $i] :
( ( app(skaf47(sk4,sk4),sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| ( app(X0,skaf48(sk4,sk4)) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28196,c_295]) ).
tcf(c_28267,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),skaf48(sk4,sk4))
| ~ ssList(X0)
| ~ ssList(skaf48(sk4,sk4))
| ~ ssList(app(sk4,X0))
| ~ ssList(app(skaf47(sk4,sk4),sk4)) ),
inference(light_normalisation,[status(thm)],[c_28195,c_28192]) ).
tcf(c_28268,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),skaf48(sk4,sk4))
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(app(skaf47(sk4,sk4),sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28267,c_295]) ).
tcf(c_28340,plain,
( segmentP(iPr_def_15,iPr_def_12)
| ~ ssList(iPr_def_14)
| ~ ssList(app(iPr_def_13,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_6476,c_20810]) ).
tcf(c_28341,plain,
( segmentP(iPr_def_13,iPr_def_12)
| ~ ssList(nil)
| ~ ssList(app(iPr_def_13,nil)) ),
inference(superposition,[status(thm)],[c_9531,c_20810]) ).
tcf(c_28342,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X1))
| ~ segmentP(X0,app(iPr_def_13,X1)) ),
inference(superposition,[status(thm)],[c_20810,c_399]) ).
tcf(c_28343,plain,
! [X0: $i] :
( ( app(app(skaf47(app(iPr_def_13,X0),iPr_def_12),iPr_def_12),skaf48(iPr_def_12,app(iPr_def_13,X0))) = app(iPr_def_13,X0) )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_20810,c_415]) ).
tcf(c_28344,plain,
! [X0: $i] :
( ( app(iPr_def_13,X0) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(iPr_def_12,app(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_20810,c_374]) ).
tcf(c_28345,plain,
( segmentP(iPr_def_13,iPr_def_12)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_28341,c_9531]) ).
tcf(c_28346,plain,
segmentP(iPr_def_13,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_28345,c_9527,c_255]) ).
tcf(c_28347,plain,
( segmentP(iPr_def_15,iPr_def_12)
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_28340,c_6476]) ).
tcf(c_28348,plain,
segmentP(iPr_def_15,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_28347,c_24748,c_9488]) ).
tcf(c_28349,plain,
! [X0: $i] :
( ( app(iPr_def_13,X0) = iPr_def_12 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(iPr_def_12,app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28344,c_9489]) ).
tcf(c_28354,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,iPr_def_12)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X1))
| ~ segmentP(X0,app(iPr_def_13,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28342,c_9489]) ).
tcf(c_28360,plain,
! [X0: $i] :
( ( app(app(skaf47(app(iPr_def_13,X0),iPr_def_12),iPr_def_12),skaf48(iPr_def_12,app(iPr_def_13,X0))) = app(iPr_def_13,X0) )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28343,c_9489]) ).
tcf(c_28373,plain,
( segmentP(iPr_def_16,sk8)
| ~ ssList(nil)
| ~ ssList(app(iPr_def_16,nil)) ),
inference(superposition,[status(thm)],[c_9132,c_20926]) ).
tcf(c_28374,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X1))
| ~ segmentP(X0,app(iPr_def_16,X1)) ),
inference(superposition,[status(thm)],[c_20926,c_399]) ).
tcf(c_28375,plain,
! [X0: $i] :
( ( app(app(skaf47(app(iPr_def_16,X0),sk8),sk8),skaf48(sk8,app(iPr_def_16,X0))) = app(iPr_def_16,X0) )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_20926,c_415]) ).
tcf(c_28376,plain,
! [X0: $i] :
( ( app(iPr_def_16,X0) = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ segmentP(sk8,app(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_20926,c_374]) ).
tcf(c_28377,plain,
( segmentP(iPr_def_16,sk8)
| ~ ssList(iPr_def_16)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_28373,c_9132]) ).
tcf(c_28378,plain,
segmentP(iPr_def_16,sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_28377,c_9020,c_255]) ).
tcf(c_28379,plain,
! [X0: $i] :
( ( app(iPr_def_16,X0) = sk8 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ segmentP(sk8,app(iPr_def_16,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28376,c_6482]) ).
tcf(c_28384,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X1))
| ~ segmentP(X0,app(iPr_def_16,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28374,c_6482]) ).
tcf(c_28390,plain,
! [X0: $i] :
( ( app(app(skaf47(app(iPr_def_16,X0),sk8),sk8),skaf48(sk8,app(iPr_def_16,X0))) = app(iPr_def_16,X0) )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28375,c_6482]) ).
tcf(c_28399,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf71(X0),X1),skaf71(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf71(X0))
| ~ ssList(app(app(nil,skaf71(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9208,c_420]) ).
tcf(c_28400,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ( app(X0,skaf71(X1)) != skaf71(X1) ) ),
inference(superposition,[status(thm)],[c_9208,c_398]) ).
tcf(c_28405,plain,
! [X0: $i] :
( frontsegP(skaf71(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf71(X0)) ),
inference(superposition,[status(thm)],[c_9208,c_808]) ).
tcf(c_28406,plain,
! [X0: $i] :
( rearsegP(skaf71(X0),skaf71(X0))
| ~ ssList(nil)
| ~ ssList(skaf71(X0)) ),
inference(superposition,[status(thm)],[c_9208,c_807]) ).
tcf(c_28409,plain,
! [X0: $i,X1: $i] :
( ( skaf71(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ( app(nil,X0) != skaf71(X1) ) ),
inference(superposition,[status(thm)],[c_9208,c_397]) ).
tcf(c_28411,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf71(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf71(X0)) ),
inference(superposition,[status(thm)],[c_9208,c_384]) ).
tcf(c_28412,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf71(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf71(X0))
| ~ segmentP(skaf71(X0),X1) ),
inference(superposition,[status(thm)],[c_9208,c_419]) ).
tcf(c_28413,plain,
! [X0: $i] : frontsegP(skaf71(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_28405,c_255,c_271]) ).
tcf(c_28414,plain,
! [X0: $i] : rearsegP(skaf71(X0),skaf71(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_28406,c_255,c_271]) ).
tcf(c_28415,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf71(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28411,c_255,c_271]) ).
tcf(c_28419,plain,
! [X0: $i,X1: $i] :
( ( skaf71(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf71(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28409,c_255,c_271]) ).
tcf(c_28423,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf71(X1)) != skaf71(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28400,c_255,c_271]) ).
tcf(c_28427,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf71(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf71(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28412,c_255,c_271]) ).
tcf(c_28432,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf71(X0),X1),skaf71(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf71(X0))
| ~ ssList(app(skaf71(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_28399,c_9208]) ).
tcf(c_28433,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf71(X0),X1),skaf71(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf71(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28432,c_255,c_271]) ).
tcf(c_28452,plain,
! [X0: $i] :
( segmentP(X0,iPr_def_12)
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_28348,c_399]) ).
tcf(c_28453,plain,
( ( app(app(skaf47(iPr_def_15,iPr_def_12),iPr_def_12),skaf48(iPr_def_12,iPr_def_15)) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_28348,c_415]) ).
tcf(c_28454,plain,
( ( iPr_def_12 = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_12)
| ~ segmentP(iPr_def_12,iPr_def_15) ),
inference(superposition,[status(thm)],[c_28348,c_374]) ).
tcf(c_28455,plain,
( ( iPr_def_12 = iPr_def_15 )
| ~ segmentP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28454,c_24748,c_9489]) ).
tcf(c_28458,plain,
! [X0: $i] :
( segmentP(X0,iPr_def_12)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28452,c_24748,c_9489]) ).
tcf(c_28462,plain,
app(app(skaf47(iPr_def_15,iPr_def_12),iPr_def_12),skaf48(iPr_def_12,iPr_def_15)) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_28453,c_24748,c_9489]) ).
tcf(c_28503,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf71(X1))
| ~ frontsegP(X0,skaf71(X1)) ),
inference(superposition,[status(thm)],[c_28413,c_401]) ).
tcf(c_28504,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf71(X0),nil)) = skaf71(X0) )
| ~ ssList(nil)
| ~ ssList(skaf71(X0)) ),
inference(superposition,[status(thm)],[c_28413,c_379]) ).
tcf(c_28505,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf71(X0))
| ~ frontsegP(nil,skaf71(X0)) ),
inference(superposition,[status(thm)],[c_28413,c_376]) ).
tcf(c_28506,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ~ frontsegP(nil,skaf71(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28505,c_255,c_271]) ).
tcf(c_28509,plain,
! [X0: $i] : app(nil,skaf45(skaf71(X0),nil)) = skaf71(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_28504,c_255,c_271]) ).
tcf(c_28514,plain,
! [X0: $i] :
( ( app(skaf46(skaf71(X0),skaf71(X0)),skaf71(X0)) = skaf71(X0) )
| ~ ssList(skaf71(X0)) ),
inference(superposition,[status(thm)],[c_28414,c_378]) ).
tcf(c_28516,plain,
! [X0: $i] : app(skaf46(skaf71(X0),skaf71(X0)),skaf71(X0)) = skaf71(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_28514,c_271]) ).
tcf(c_28518,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(sk8,skaf46(sk8,sk8)))
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(X0,sk8)
| ~ ssList(skaf45(sk8,skaf46(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_18362,c_400]) ).
tcf(c_28519,plain,
( ( app(skaf46(sk8,skaf45(sk8,skaf46(sk8,sk8))),skaf45(sk8,skaf46(sk8,sk8))) = sk8 )
| ~ ssList(sk8)
| ~ ssList(skaf45(sk8,skaf46(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_18362,c_378]) ).
tcf(c_28520,plain,
( ( skaf45(sk8,skaf46(sk8,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(skaf45(sk8,skaf46(sk8,sk8)))
| ~ rearsegP(skaf45(sk8,skaf46(sk8,sk8)),sk8) ),
inference(superposition,[status(thm)],[c_18362,c_375]) ).
tcf(c_28521,plain,
( rearsegP(iPr_def_16,skaf45(sk8,skaf46(sk8,sk8)))
| ~ ssList(skaf45(sk8,skaf46(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_18362,c_14073]) ).
tcf(c_28522,plain,
rearsegP(iPr_def_16,skaf45(sk8,skaf46(sk8,sk8))),
inference(forward_subsumption_resolution,[status(thm)],[c_28521,c_298]) ).
tcf(c_28523,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(sk8,skaf46(sk8,sk8)))
| ~ ssList(X0)
| ~ rearsegP(X0,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28518,c_6482,c_298]) ).
tcf(c_28527,plain,
( ( skaf45(sk8,skaf46(sk8,sk8)) = sk8 )
| ~ rearsegP(skaf45(sk8,skaf46(sk8,sk8)),sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28520,c_6482,c_298]) ).
tcf(c_28530,plain,
app(skaf46(sk8,skaf45(sk8,skaf46(sk8,sk8))),skaf45(sk8,skaf46(sk8,sk8))) = sk8,
inference(forward_subsumption_resolution,[status(thm)],[c_28519,c_6482,c_298]) ).
tcf(c_28532,plain,
! [X0: $i] :
( segmentP(X0,iPr_def_12)
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_28346,c_399]) ).
tcf(c_28533,plain,
( ( app(app(skaf47(iPr_def_13,iPr_def_12),iPr_def_12),skaf48(iPr_def_12,iPr_def_13)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_28346,c_415]) ).
tcf(c_28534,plain,
( ( iPr_def_12 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12)
| ~ segmentP(iPr_def_12,iPr_def_13) ),
inference(superposition,[status(thm)],[c_28346,c_374]) ).
tcf(c_28535,plain,
( ( iPr_def_12 = iPr_def_13 )
| ~ segmentP(iPr_def_12,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28534,c_9527,c_9489]) ).
tcf(c_28538,plain,
! [X0: $i] :
( segmentP(X0,iPr_def_12)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28532,c_9527,c_9489]) ).
tcf(c_28542,plain,
app(app(skaf47(iPr_def_13,iPr_def_12),iPr_def_12),skaf48(iPr_def_12,iPr_def_13)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_28533,c_9527,c_9489]) ).
tcf(c_28543,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(iPr_def_16)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_28378,c_399]) ).
tcf(c_28544,plain,
( ( app(app(skaf47(iPr_def_16,sk8),sk8),skaf48(sk8,iPr_def_16)) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_28378,c_415]) ).
tcf(c_28545,plain,
( ( sk8 = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(sk8)
| ~ segmentP(sk8,iPr_def_16) ),
inference(superposition,[status(thm)],[c_28378,c_374]) ).
tcf(c_28546,plain,
( ( sk8 = iPr_def_16 )
| ~ segmentP(sk8,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28545,c_9020,c_6482]) ).
tcf(c_28549,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28543,c_9020,c_6482]) ).
tcf(c_28553,plain,
app(app(skaf47(iPr_def_16,sk8),sk8),skaf48(sk8,iPr_def_16)) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_28544,c_9020,c_6482]) ).
tcf(c_28554,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk9,iPr_def_13)))
| ( cons(sk9,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk9)
| ~ strictorderedP(cons(sk9,iPr_def_13))
| ~ ssList(cons(sk9,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_11380,c_407]) ).
tcf(c_28555,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk9,iPr_def_13)))
| ( cons(sk9,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk9)
| ~ totalorderedP(cons(sk9,iPr_def_13))
| ~ ssList(cons(sk9,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_11380,c_406]) ).
tcf(c_28571,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk9,iPr_def_12)))
| ( cons(sk9,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk9)
| ~ strictorderedP(cons(sk9,iPr_def_12))
| ~ ssList(cons(sk9,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11381,c_407]) ).
tcf(c_28572,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk9,iPr_def_12)))
| ( cons(sk9,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk9)
| ~ totalorderedP(cons(sk9,iPr_def_12))
| ~ ssList(cons(sk9,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11381,c_406]) ).
tcf(c_28599,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),sk8)
| ~ ssList(iPr_def_16)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,iPr_def_16)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_419,c_28549]) ).
tcf(c_28600,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,iPr_def_16),X1),sk8)
| ~ ssList(iPr_def_16)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_16),X1)) ),
inference(superposition,[status(thm)],[c_420,c_28549]) ).
tcf(c_28601,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,iPr_def_16),X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_16),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28600,c_9020]) ).
tcf(c_28606,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),sk8)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,iPr_def_16)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28599,c_9020]) ).
tcf(c_28616,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),skaf48(sk8,iPr_def_16))
| ~ ssList(X0)
| ~ ssList(skaf48(sk8,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8))
| ~ ssList(app(app(app(skaf47(iPr_def_16,sk8),sk8),skaf48(sk8,iPr_def_16)),X0)) ),
inference(superposition,[status(thm)],[c_28553,c_420]) ).
tcf(c_28617,plain,
! [X0: $i] :
( ( app(skaf47(iPr_def_16,sk8),sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf48(sk8,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8))
| ( app(X0,skaf48(sk8,iPr_def_16)) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_28553,c_398]) ).
tcf(c_28619,plain,
! [X0: $i] :
( memberP(skaf48(sk8,iPr_def_16),X0)
| memberP(app(skaf47(iPr_def_16,sk8),sk8),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0)
| ~ ssList(skaf48(sk8,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_28553,c_405]) ).
tcf(c_28622,plain,
( frontsegP(iPr_def_16,app(skaf47(iPr_def_16,sk8),sk8))
| ~ ssList(skaf48(sk8,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_28553,c_808]) ).
tcf(c_28623,plain,
( rearsegP(iPr_def_16,skaf48(sk8,iPr_def_16))
| ~ ssList(skaf48(sk8,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_28553,c_807]) ).
tcf(c_28624,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ ssList(skaf48(sk8,iPr_def_16))
| ~ memberP(skaf48(sk8,iPr_def_16),X0)
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_28553,c_388]) ).
tcf(c_28625,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ ssList(skaf48(sk8,iPr_def_16))
| ~ rearsegP(skaf48(sk8,iPr_def_16),X0)
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_28553,c_383]) ).
tcf(c_28626,plain,
! [X0: $i] :
( ( skaf48(sk8,iPr_def_16) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf48(sk8,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8))
| ( app(app(skaf47(iPr_def_16,sk8),sk8),X0) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_28553,c_397]) ).
tcf(c_28627,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ ssList(skaf48(sk8,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8))
| ~ memberP(app(skaf47(iPr_def_16,sk8),sk8),X0) ),
inference(superposition,[status(thm)],[c_28553,c_387]) ).
tcf(c_28628,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ ssList(skaf48(sk8,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8))
| ~ frontsegP(app(skaf47(iPr_def_16,sk8),sk8),X0) ),
inference(superposition,[status(thm)],[c_28553,c_384]) ).
tcf(c_28629,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf48(sk8,iPr_def_16))
| ~ segmentP(skaf48(sk8,iPr_def_16),X0)
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_28553,c_419]) ).
tcf(c_28630,plain,
! [X0: $i] :
( segmentP(iPr_def_16,X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(skaf47(iPr_def_16,sk8))
| ~ ssList(skaf48(sk8,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_28553,c_419]) ).
tcf(c_28632,plain,
( rearsegP(iPr_def_16,skaf48(sk8,iPr_def_16))
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28623,c_295]) ).
tcf(c_28635,plain,
( frontsegP(iPr_def_16,app(skaf47(iPr_def_16,sk8),sk8))
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28622,c_295]) ).
tcf(c_28638,plain,
! [X0: $i] :
( segmentP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28630,c_6482,c_296,c_295]) ).
tcf(c_28642,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf48(sk8,iPr_def_16),X0)
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28625,c_295]) ).
tcf(c_28647,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ memberP(skaf48(sk8,iPr_def_16),X0)
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28624,c_295]) ).
tcf(c_28652,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8))
| ~ frontsegP(app(skaf47(iPr_def_16,sk8),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28628,c_295]) ).
tcf(c_28657,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8))
| ~ memberP(app(skaf47(iPr_def_16,sk8),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28627,c_295]) ).
tcf(c_28662,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf48(sk8,iPr_def_16),X0)
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28629,c_295]) ).
tcf(c_28668,plain,
! [X0: $i] :
( memberP(skaf48(sk8,iPr_def_16),X0)
| memberP(app(skaf47(iPr_def_16,sk8),sk8),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0)
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28619,c_295]) ).
tcf(c_28674,plain,
! [X0: $i] :
( ( skaf48(sk8,iPr_def_16) = X0 )
| ~ ssList(X0)
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8))
| ( app(app(skaf47(iPr_def_16,sk8),sk8),X0) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28626,c_295]) ).
tcf(c_28679,plain,
! [X0: $i] :
( ( app(skaf47(iPr_def_16,sk8),sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8))
| ( app(X0,skaf48(sk8,iPr_def_16)) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28617,c_295]) ).
tcf(c_28684,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),skaf48(sk8,iPr_def_16))
| ~ ssList(X0)
| ~ ssList(skaf48(sk8,iPr_def_16))
| ~ ssList(app(iPr_def_16,X0))
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8)) ),
inference(light_normalisation,[status(thm)],[c_28616,c_28553]) ).
tcf(c_28685,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),skaf48(sk8,iPr_def_16))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ ssList(app(skaf47(iPr_def_16,sk8),sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28684,c_295]) ).
tcf(c_28752,plain,
( memberP(iPr_def_15,sk6)
| ~ ssList(iPr_def_13)
| ~ ssList(app(iPr_def_13,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_6476,c_21340]) ).
tcf(c_28754,plain,
! [X0: $i] :
( ( app(skaf42(app(X0,iPr_def_14),sk6),cons(sk6,skaf43(sk6,app(X0,iPr_def_14)))) = app(X0,iPr_def_14) )
| ~ ssItem(sk6)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_21340,c_416]) ).
tcf(c_28756,plain,
( memberP(iPr_def_15,sk6)
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_28752,c_6476]) ).
tcf(c_28757,plain,
memberP(iPr_def_15,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_28756,c_24748,c_9527]) ).
tcf(c_28758,plain,
! [X0: $i] :
( ( app(skaf42(app(X0,iPr_def_14),sk6),cons(sk6,skaf43(sk6,app(X0,iPr_def_14)))) = app(X0,iPr_def_14) )
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28754,c_6484]) ).
tcf(c_28771,plain,
! [X0: $i] :
( ( app(skaf42(app(X0,iPr_def_12),sk5),cons(sk5,skaf43(sk5,app(X0,iPr_def_12)))) = app(X0,iPr_def_12) )
| ~ ssItem(sk5)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_21345,c_416]) ).
tcf(c_28773,plain,
! [X0: $i] :
( ( app(skaf42(app(X0,iPr_def_12),sk5),cons(sk5,skaf43(sk5,app(X0,iPr_def_12)))) = app(X0,iPr_def_12) )
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28771,c_6485]) ).
tcf(c_28778,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ frontsegP(X0,iPr_def_15)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_24665,c_9461,c_9443,c_9489,c_9488,c_24665]) ).
tcf(c_28779,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_15) ),
inference(renaming,[status(thm)],[c_28778]) ).
tcf(c_28787,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(iPr_def_15)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_15)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_384,c_28779]) ).
tcf(c_28788,plain,
! [X0: $i] :
( frontsegP(app(iPr_def_15,X0),sk7)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0)) ),
inference(superposition,[status(thm)],[c_808,c_28779]) ).
tcf(c_28791,plain,
! [X0: $i] :
( frontsegP(app(iPr_def_15,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28788,c_24748]) ).
tcf(c_28795,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_15)
| ~ ssList(app(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28787,c_24748]) ).
tcf(c_28829,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf68(X0),X1),skaf68(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf68(X0))
| ~ ssList(app(app(nil,skaf68(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9209,c_420]) ).
tcf(c_28830,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ( app(X0,skaf68(X1)) != skaf68(X1) ) ),
inference(superposition,[status(thm)],[c_9209,c_398]) ).
tcf(c_28835,plain,
! [X0: $i] :
( frontsegP(skaf68(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf68(X0)) ),
inference(superposition,[status(thm)],[c_9209,c_808]) ).
tcf(c_28836,plain,
! [X0: $i] :
( rearsegP(skaf68(X0),skaf68(X0))
| ~ ssList(nil)
| ~ ssList(skaf68(X0)) ),
inference(superposition,[status(thm)],[c_9209,c_807]) ).
tcf(c_28839,plain,
! [X0: $i,X1: $i] :
( ( skaf68(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ( app(nil,X0) != skaf68(X1) ) ),
inference(superposition,[status(thm)],[c_9209,c_397]) ).
tcf(c_28841,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf68(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf68(X0)) ),
inference(superposition,[status(thm)],[c_9209,c_384]) ).
tcf(c_28842,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf68(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf68(X0))
| ~ segmentP(skaf68(X0),X1) ),
inference(superposition,[status(thm)],[c_9209,c_419]) ).
tcf(c_28843,plain,
! [X0: $i] : frontsegP(skaf68(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_28835,c_255,c_274]) ).
tcf(c_28844,plain,
! [X0: $i] : rearsegP(skaf68(X0),skaf68(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_28836,c_255,c_274]) ).
tcf(c_28845,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf68(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28841,c_255,c_274]) ).
tcf(c_28849,plain,
! [X0: $i,X1: $i] :
( ( skaf68(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf68(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28839,c_255,c_274]) ).
tcf(c_28853,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf68(X1)) != skaf68(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28830,c_255,c_274]) ).
tcf(c_28857,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf68(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf68(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28842,c_255,c_274]) ).
tcf(c_28862,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf68(X0),X1),skaf68(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf68(X0))
| ~ ssList(app(skaf68(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_28829,c_9209]) ).
tcf(c_28863,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf68(X0),X1),skaf68(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf68(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28862,c_255,c_274]) ).
tcf(c_28871,plain,
( ( app(skaf42(iPr_def_15,sk6),cons(sk6,skaf43(sk6,iPr_def_15))) = iPr_def_15 )
| ~ ssItem(sk6)
| ~ ssList(iPr_def_15) ),
inference(superposition,[status(thm)],[c_28757,c_416]) ).
tcf(c_28872,plain,
( memberP(iPr_def_16,sk6)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_28757,c_26677]) ).
tcf(c_28873,plain,
memberP(iPr_def_16,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_28872,c_6484]) ).
tcf(c_28874,plain,
app(skaf42(iPr_def_15,sk6),cons(sk6,skaf43(sk6,iPr_def_15))) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_28871,c_6484,c_24748]) ).
tcf(c_28875,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf68(X1))
| ~ frontsegP(X0,skaf68(X1)) ),
inference(superposition,[status(thm)],[c_28843,c_401]) ).
tcf(c_28876,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf68(X0),nil)) = skaf68(X0) )
| ~ ssList(nil)
| ~ ssList(skaf68(X0)) ),
inference(superposition,[status(thm)],[c_28843,c_379]) ).
tcf(c_28877,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf68(X0))
| ~ frontsegP(nil,skaf68(X0)) ),
inference(superposition,[status(thm)],[c_28843,c_376]) ).
tcf(c_28878,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ~ frontsegP(nil,skaf68(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28877,c_255,c_274]) ).
tcf(c_28881,plain,
! [X0: $i] : app(nil,skaf45(skaf68(X0),nil)) = skaf68(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_28876,c_255,c_274]) ).
tcf(c_28886,plain,
! [X0: $i] :
( ( app(skaf46(skaf68(X0),skaf68(X0)),skaf68(X0)) = skaf68(X0) )
| ~ ssList(skaf68(X0)) ),
inference(superposition,[status(thm)],[c_28844,c_378]) ).
tcf(c_28888,plain,
! [X0: $i] : app(skaf46(skaf68(X0),skaf68(X0)),skaf68(X0)) = skaf68(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_28886,c_274]) ).
tcf(c_28891,plain,
! [X0: $i,X1: $i] :
( ( app(skaf48(X0,X1),skaf45(skaf48(X0,X1),skaf48(X0,X1))) = skaf48(X0,X1) )
| ~ ssList(skaf48(X0,X1)) ),
inference(superposition,[status(thm)],[c_18421,c_379]) ).
tcf(c_28893,plain,
! [X0: $i,X1: $i] : app(skaf48(X0,X1),skaf45(skaf48(X0,X1),skaf48(X0,X1))) = skaf48(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_28891,c_295]) ).
tcf(c_28895,plain,
( ( app(skaf42(iPr_def_16,sk6),cons(sk6,skaf43(sk6,iPr_def_16))) = iPr_def_16 )
| ~ ssItem(sk6)
| ~ ssList(iPr_def_16) ),
inference(superposition,[status(thm)],[c_28873,c_416]) ).
tcf(c_28896,plain,
( ( sk6 = sk9 )
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_28873,c_9021]) ).
tcf(c_28897,plain,
sk6 = sk9,
inference(forward_subsumption_resolution,[status(thm)],[c_28896,c_6484]) ).
tcf(c_28898,plain,
app(skaf42(iPr_def_16,sk6),cons(sk6,skaf43(sk6,iPr_def_16))) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_28895,c_6484,c_9020]) ).
tcf(c_28908,plain,
! [X0: $i] :
( memberP(cons(sk6,sk8),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(demodulation,[status(thm)],[c_24488,c_28897]) ).
tcf(c_28909,plain,
! [X0: $i] :
( rearsegP(cons(sk6,sk8),X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0) ),
inference(demodulation,[status(thm)],[c_24484,c_28897]) ).
tcf(c_28910,plain,
! [X0: $i] :
( memberP(cons(sk6,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(demodulation,[status(thm)],[c_23148,c_28897]) ).
tcf(c_28911,plain,
! [X0: $i] :
( rearsegP(cons(sk6,sk7),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(demodulation,[status(thm)],[c_23144,c_28897]) ).
tcf(c_28912,plain,
! [X0: $i] :
( memberP(cons(sk6,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(demodulation,[status(thm)],[c_22106,c_28897]) ).
tcf(c_28913,plain,
! [X0: $i] :
( rearsegP(cons(sk6,sk4),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(demodulation,[status(thm)],[c_22102,c_28897]) ).
tcf(c_28914,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk6,sk8)) ),
inference(demodulation,[status(thm)],[c_17383,c_28897]) ).
tcf(c_28915,plain,
( ( sk8 = nil )
| ( cons(sk6,sk8) != nil ) ),
inference(demodulation,[status(thm)],[c_24481,c_28897]) ).
tcf(c_28916,plain,
frontsegP(cons(sk6,sk8),skaf46(cons(sk6,sk8),sk8)),
inference(demodulation,[status(thm)],[c_24480,c_28897]) ).
tcf(c_28917,plain,
( duplicatefreeP(cons(sk6,sk8))
| ~ iPr_def_11 ),
inference(demodulation,[status(thm)],[c_15387,c_28897]) ).
tcf(c_28918,plain,
app(skaf46(cons(sk6,sk8),sk8),sk8) = cons(sk6,sk8),
inference(demodulation,[status(thm)],[c_17382,c_28897]) ).
tcf(c_28919,plain,
( ( cons(sk6,sk8) = sk8 )
| ~ rearsegP(sk8,cons(sk6,sk8)) ),
inference(demodulation,[status(thm)],[c_17379,c_28897]) ).
tcf(c_28920,plain,
( duplicatefreeP(cons(sk6,sk7))
| ~ iPr_def_11 ),
inference(demodulation,[status(thm)],[c_14934,c_28897]) ).
tcf(c_28921,plain,
( duplicatefreeP(cons(sk6,sk4))
| ~ iPr_def_11 ),
inference(demodulation,[status(thm)],[c_12547,c_28897]) ).
tcf(c_28922,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk6,sk7)) ),
inference(demodulation,[status(thm)],[c_15453,c_28897]) ).
tcf(c_28923,plain,
( ( sk7 = nil )
| ( cons(sk6,sk7) != nil ) ),
inference(demodulation,[status(thm)],[c_23141,c_28897]) ).
tcf(c_28924,plain,
frontsegP(cons(sk6,sk7),skaf46(cons(sk6,sk7),sk7)),
inference(demodulation,[status(thm)],[c_23140,c_28897]) ).
tcf(c_28925,plain,
app(skaf46(cons(sk6,sk7),sk7),sk7) = cons(sk6,sk7),
inference(demodulation,[status(thm)],[c_15452,c_28897]) ).
tcf(c_28926,plain,
( ( cons(sk6,sk7) = sk7 )
| ~ rearsegP(sk7,cons(sk6,sk7)) ),
inference(demodulation,[status(thm)],[c_15449,c_28897]) ).
tcf(c_28927,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk6,sk4)) ),
inference(demodulation,[status(thm)],[c_15439,c_28897]) ).
tcf(c_28928,plain,
( ( sk4 = nil )
| ( cons(sk6,sk4) != nil ) ),
inference(demodulation,[status(thm)],[c_22099,c_28897]) ).
tcf(c_28929,plain,
frontsegP(cons(sk6,sk4),skaf46(cons(sk6,sk4),sk4)),
inference(demodulation,[status(thm)],[c_22098,c_28897]) ).
tcf(c_28930,plain,
app(skaf46(cons(sk6,sk4),sk4),sk4) = cons(sk6,sk4),
inference(demodulation,[status(thm)],[c_15438,c_28897]) ).
tcf(c_28931,plain,
( ( cons(sk6,sk4) = sk4 )
| ~ rearsegP(sk4,cons(sk6,sk4)) ),
inference(demodulation,[status(thm)],[c_15435,c_28897]) ).
tcf(c_28932,plain,
frontsegP(cons(sk6,sk8),cons(sk6,nil)),
inference(demodulation,[status(thm)],[c_21465,c_28897]) ).
tcf(c_28933,plain,
frontsegP(cons(sk6,sk7),cons(sk6,nil)),
inference(demodulation,[status(thm)],[c_18318,c_28897]) ).
tcf(c_28934,plain,
frontsegP(cons(sk6,sk4),cons(sk6,nil)),
inference(demodulation,[status(thm)],[c_18300,c_28897]) ).
tcf(c_28935,plain,
rearsegP(cons(sk6,sk8),sk8),
inference(demodulation,[status(thm)],[c_17374,c_28897]) ).
tcf(c_28936,plain,
rearsegP(cons(sk6,sk7),sk7),
inference(demodulation,[status(thm)],[c_15444,c_28897]) ).
tcf(c_28937,plain,
rearsegP(cons(sk6,sk4),sk4),
inference(demodulation,[status(thm)],[c_15430,c_28897]) ).
tcf(c_28938,plain,
ssList(cons(sk6,sk8)),
inference(demodulation,[status(thm)],[c_15373,c_28897]) ).
tcf(c_28939,plain,
app(cons(sk6,nil),sk8) = cons(sk6,sk8),
inference(demodulation,[status(thm)],[c_12360,c_28897]) ).
tcf(c_28940,plain,
ssList(cons(sk6,sk7)),
inference(demodulation,[status(thm)],[c_14920,c_28897]) ).
tcf(c_28941,plain,
app(cons(sk6,nil),sk7) = cons(sk6,sk7),
inference(demodulation,[status(thm)],[c_12359,c_28897]) ).
tcf(c_28942,plain,
ssList(cons(sk6,sk4)),
inference(demodulation,[status(thm)],[c_12535,c_28897]) ).
tcf(c_28943,plain,
app(cons(sk6,nil),sk4) = cons(sk6,sk4),
inference(demodulation,[status(thm)],[c_12358,c_28897]) ).
tcf(c_28953,plain,
! [X0: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0) ),
inference(demodulation,[status(thm)],[c_9021,c_28897]) ).
tcf(c_28958,plain,
cons(sk6,sk4) = app(iPr_def_14,sk4),
inference(light_normalisation,[status(thm)],[c_28943,c_6475]) ).
tcf(c_28959,plain,
cons(sk6,sk7) = app(iPr_def_14,sk7),
inference(light_normalisation,[status(thm)],[c_28941,c_6475]) ).
tcf(c_28960,plain,
cons(sk6,sk8) = app(iPr_def_14,sk8),
inference(light_normalisation,[status(thm)],[c_28939,c_6475]) ).
tcf(c_28961,plain,
frontsegP(cons(sk6,sk4),iPr_def_14),
inference(light_normalisation,[status(thm)],[c_28934,c_6475]) ).
tcf(c_28962,plain,
frontsegP(cons(sk6,sk7),iPr_def_14),
inference(light_normalisation,[status(thm)],[c_28933,c_6475]) ).
tcf(c_28963,plain,
frontsegP(cons(sk6,sk8),iPr_def_14),
inference(light_normalisation,[status(thm)],[c_28932,c_6475]) ).
tcf(c_29019,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk6,sk8))) = app(cons(X1,X0),cons(sk6,sk8)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28938,c_404]) ).
tcf(c_29020,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk6,sk8)),X0) = app(X1,app(cons(sk6,sk8),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28938,c_396]) ).
tcf(c_29021,plain,
! [X0: $i] :
( ( cons(sk6,sk8) = nil )
| ( app(tl(cons(sk6,sk8)),X0) = tl(app(cons(sk6,sk8),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28938,c_380]) ).
tcf(c_29022,plain,
! [X0: $i] :
( ( cons(sk6,sk8) = nil )
| ( hd(app(cons(sk6,sk8),X0)) = hd(cons(sk6,sk8)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28938,c_370]) ).
tcf(c_29023,plain,
( cyclefreeP(cons(sk6,sk8))
| ( app(app(skaf51(cons(sk6,sk8)),cons(skaf49(cons(sk6,sk8)),skaf52(cons(sk6,sk8)))),cons(skaf50(cons(sk6,sk8)),skaf53(cons(sk6,sk8)))) = cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_28938,c_414]) ).
tcf(c_29024,plain,
( totalorderP(cons(sk6,sk8))
| ( app(app(skaf56(cons(sk6,sk8)),cons(skaf54(cons(sk6,sk8)),skaf57(cons(sk6,sk8)))),cons(skaf55(cons(sk6,sk8)),skaf58(cons(sk6,sk8)))) = cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_28938,c_413]) ).
tcf(c_29025,plain,
( strictorderP(cons(sk6,sk8))
| ( app(app(skaf61(cons(sk6,sk8)),cons(skaf59(cons(sk6,sk8)),skaf62(cons(sk6,sk8)))),cons(skaf60(cons(sk6,sk8)),skaf63(cons(sk6,sk8)))) = cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_28938,c_412]) ).
tcf(c_29026,plain,
( totalorderedP(cons(sk6,sk8))
| ( app(app(skaf66(cons(sk6,sk8)),cons(skaf64(cons(sk6,sk8)),skaf67(cons(sk6,sk8)))),cons(skaf65(cons(sk6,sk8)),skaf68(cons(sk6,sk8)))) = cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_28938,c_411]) ).
tcf(c_29027,plain,
( strictorderedP(cons(sk6,sk8))
| ( app(app(skaf71(cons(sk6,sk8)),cons(skaf69(cons(sk6,sk8)),skaf72(cons(sk6,sk8)))),cons(skaf70(cons(sk6,sk8)),skaf73(cons(sk6,sk8)))) = cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_28938,c_410]) ).
tcf(c_29028,plain,
( duplicatefreeP(cons(sk6,sk8))
| ( app(app(skaf75(cons(sk6,sk8)),cons(skaf74(cons(sk6,sk8)),skaf76(cons(sk6,sk8)))),cons(skaf74(cons(sk6,sk8)),skaf77(cons(sk6,sk8)))) = cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_28938,c_409]) ).
tcf(c_29029,plain,
( equalelemsP(cons(sk6,sk8))
| ( app(skaf80(cons(sk6,sk8)),cons(skaf78(cons(sk6,sk8)),cons(skaf79(cons(sk6,sk8)),skaf81(cons(sk6,sk8))))) = cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_28938,c_389]) ).
tcf(c_29030,plain,
hd(cons(sk6,cons(sk6,sk8))) = sk6,
inference(superposition,[status(thm)],[c_28938,c_10017]) ).
tcf(c_29031,plain,
( ( cons(sk6,sk8) = nil )
| ( cons(skaf83(cons(sk6,sk8)),skaf82(cons(sk6,sk8))) = cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_28938,c_356]) ).
tcf(c_29032,plain,
( ( cons(sk6,sk8) = nil )
| ( cons(hd(cons(sk6,sk8)),tl(cons(sk6,sk8))) = cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_28938,c_351]) ).
tcf(c_29033,plain,
hd(cons(sk5,cons(sk6,sk8))) = sk5,
inference(superposition,[status(thm)],[c_28938,c_10016]) ).
tcf(c_29034,plain,
tl(cons(sk6,cons(sk6,sk8))) = cons(sk6,sk8),
inference(superposition,[status(thm)],[c_28938,c_9887]) ).
tcf(c_29035,plain,
tl(cons(sk5,cons(sk6,sk8))) = cons(sk6,sk8),
inference(superposition,[status(thm)],[c_28938,c_9886]) ).
tcf(c_29037,plain,
app(nil,cons(sk6,sk8)) = cons(sk6,sk8),
inference(superposition,[status(thm)],[c_28938,c_321]) ).
tcf(c_29038,plain,
app(cons(sk6,sk8),nil) = cons(sk6,sk8),
inference(superposition,[status(thm)],[c_28938,c_320]) ).
tcf(c_29042,plain,
! [X0: $i] :
( ( cons(sk6,sk8) = nil )
| ( hd(app(cons(sk6,sk8),X0)) = sk6 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_29022,c_11223]) ).
tcf(c_29052,plain,
! [X0: $i] :
( ( cons(sk6,sk8) = nil )
| ( tl(app(cons(sk6,sk8),X0)) = app(sk8,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_29021,c_10310]) ).
tcf(c_29074,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk6,sk7))) = app(cons(X1,X0),cons(sk6,sk7)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28940,c_404]) ).
tcf(c_29075,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk6,sk7)),X0) = app(X1,app(cons(sk6,sk7),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28940,c_396]) ).
tcf(c_29076,plain,
! [X0: $i] :
( ( cons(sk6,sk7) = nil )
| ( app(tl(cons(sk6,sk7)),X0) = tl(app(cons(sk6,sk7),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28940,c_380]) ).
tcf(c_29077,plain,
! [X0: $i] :
( ( cons(sk6,sk7) = nil )
| ( hd(app(cons(sk6,sk7),X0)) = hd(cons(sk6,sk7)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28940,c_370]) ).
tcf(c_29078,plain,
( cyclefreeP(cons(sk6,sk7))
| ( app(app(skaf51(cons(sk6,sk7)),cons(skaf49(cons(sk6,sk7)),skaf52(cons(sk6,sk7)))),cons(skaf50(cons(sk6,sk7)),skaf53(cons(sk6,sk7)))) = cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_28940,c_414]) ).
tcf(c_29079,plain,
( totalorderP(cons(sk6,sk7))
| ( app(app(skaf56(cons(sk6,sk7)),cons(skaf54(cons(sk6,sk7)),skaf57(cons(sk6,sk7)))),cons(skaf55(cons(sk6,sk7)),skaf58(cons(sk6,sk7)))) = cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_28940,c_413]) ).
tcf(c_29080,plain,
( strictorderP(cons(sk6,sk7))
| ( app(app(skaf61(cons(sk6,sk7)),cons(skaf59(cons(sk6,sk7)),skaf62(cons(sk6,sk7)))),cons(skaf60(cons(sk6,sk7)),skaf63(cons(sk6,sk7)))) = cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_28940,c_412]) ).
tcf(c_29081,plain,
( totalorderedP(cons(sk6,sk7))
| ( app(app(skaf66(cons(sk6,sk7)),cons(skaf64(cons(sk6,sk7)),skaf67(cons(sk6,sk7)))),cons(skaf65(cons(sk6,sk7)),skaf68(cons(sk6,sk7)))) = cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_28940,c_411]) ).
tcf(c_29082,plain,
( strictorderedP(cons(sk6,sk7))
| ( app(app(skaf71(cons(sk6,sk7)),cons(skaf69(cons(sk6,sk7)),skaf72(cons(sk6,sk7)))),cons(skaf70(cons(sk6,sk7)),skaf73(cons(sk6,sk7)))) = cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_28940,c_410]) ).
tcf(c_29083,plain,
( duplicatefreeP(cons(sk6,sk7))
| ( app(app(skaf75(cons(sk6,sk7)),cons(skaf74(cons(sk6,sk7)),skaf76(cons(sk6,sk7)))),cons(skaf74(cons(sk6,sk7)),skaf77(cons(sk6,sk7)))) = cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_28940,c_409]) ).
tcf(c_29084,plain,
( equalelemsP(cons(sk6,sk7))
| ( app(skaf80(cons(sk6,sk7)),cons(skaf78(cons(sk6,sk7)),cons(skaf79(cons(sk6,sk7)),skaf81(cons(sk6,sk7))))) = cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_28940,c_389]) ).
tcf(c_29085,plain,
hd(cons(sk6,cons(sk6,sk7))) = sk6,
inference(superposition,[status(thm)],[c_28940,c_10017]) ).
tcf(c_29086,plain,
( ( cons(sk6,sk7) = nil )
| ( cons(skaf83(cons(sk6,sk7)),skaf82(cons(sk6,sk7))) = cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_28940,c_356]) ).
tcf(c_29087,plain,
( ( cons(sk6,sk7) = nil )
| ( cons(hd(cons(sk6,sk7)),tl(cons(sk6,sk7))) = cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_28940,c_351]) ).
tcf(c_29088,plain,
hd(cons(sk5,cons(sk6,sk7))) = sk5,
inference(superposition,[status(thm)],[c_28940,c_10016]) ).
tcf(c_29089,plain,
tl(cons(sk6,cons(sk6,sk7))) = cons(sk6,sk7),
inference(superposition,[status(thm)],[c_28940,c_9887]) ).
tcf(c_29090,plain,
tl(cons(sk5,cons(sk6,sk7))) = cons(sk6,sk7),
inference(superposition,[status(thm)],[c_28940,c_9886]) ).
tcf(c_29092,plain,
app(nil,cons(sk6,sk7)) = cons(sk6,sk7),
inference(superposition,[status(thm)],[c_28940,c_321]) ).
tcf(c_29093,plain,
app(cons(sk6,sk7),nil) = cons(sk6,sk7),
inference(superposition,[status(thm)],[c_28940,c_320]) ).
tcf(c_29097,plain,
! [X0: $i] :
( ( cons(sk6,sk7) = nil )
| ( hd(app(cons(sk6,sk7),X0)) = sk6 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_29077,c_11222]) ).
tcf(c_29107,plain,
! [X0: $i] :
( ( cons(sk6,sk7) = nil )
| ( tl(app(cons(sk6,sk7),X0)) = app(sk7,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_29076,c_10309]) ).
tcf(c_29221,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),cons(sk6,skaf43(sk6,iPr_def_15)))
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15)))
| ~ ssList(app(app(skaf42(iPr_def_15,sk6),cons(sk6,skaf43(sk6,iPr_def_15))),X0)) ),
inference(superposition,[status(thm)],[c_28874,c_420]) ).
tcf(c_29222,plain,
! [X0: $i] :
( ( skaf42(iPr_def_15,sk6) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15)))
| ( app(X0,cons(sk6,skaf43(sk6,iPr_def_15))) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28874,c_398]) ).
tcf(c_29224,plain,
! [X0: $i] :
( memberP(skaf42(iPr_def_15,sk6),X0)
| memberP(cons(sk6,skaf43(sk6,iPr_def_15)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_15,X0)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15))) ),
inference(superposition,[status(thm)],[c_28874,c_405]) ).
tcf(c_29227,plain,
( frontsegP(iPr_def_15,skaf42(iPr_def_15,sk6))
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15))) ),
inference(superposition,[status(thm)],[c_28874,c_808]) ).
tcf(c_29228,plain,
( rearsegP(iPr_def_15,cons(sk6,skaf43(sk6,iPr_def_15)))
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15))) ),
inference(superposition,[status(thm)],[c_28874,c_807]) ).
tcf(c_29229,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15)))
| ~ memberP(cons(sk6,skaf43(sk6,iPr_def_15)),X0) ),
inference(superposition,[status(thm)],[c_28874,c_388]) ).
tcf(c_29230,plain,
! [X0: $i] :
( rearsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15)))
| ~ rearsegP(cons(sk6,skaf43(sk6,iPr_def_15)),X0) ),
inference(superposition,[status(thm)],[c_28874,c_383]) ).
tcf(c_29231,plain,
! [X0: $i] :
( ( cons(sk6,skaf43(sk6,iPr_def_15)) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15)))
| ( app(skaf42(iPr_def_15,sk6),X0) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28874,c_397]) ).
tcf(c_29232,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ memberP(skaf42(iPr_def_15,sk6),X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15))) ),
inference(superposition,[status(thm)],[c_28874,c_387]) ).
tcf(c_29233,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ frontsegP(skaf42(iPr_def_15,sk6),X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15))) ),
inference(superposition,[status(thm)],[c_28874,c_384]) ).
tcf(c_29234,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_15,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15)))
| ~ segmentP(cons(sk6,skaf43(sk6,iPr_def_15)),X0) ),
inference(superposition,[status(thm)],[c_28874,c_419]) ).
tcf(c_29235,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk6,X0)
| ~ leq(X0,sk6)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(skaf43(sk6,iPr_def_15))
| ~ ssList(app(iPr_def_15,cons(X0,X1)))
| ~ cyclefreeP(app(app(skaf42(iPr_def_15,sk6),cons(sk6,skaf43(sk6,iPr_def_15))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_28874,c_432]) ).
tcf(c_29236,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| leq(X0,sk6)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(skaf43(sk6,iPr_def_15))
| ~ ssList(app(iPr_def_15,cons(X0,X1)))
| ~ totalorderP(app(app(skaf42(iPr_def_15,sk6),cons(sk6,skaf43(sk6,iPr_def_15))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_28874,c_431]) ).
tcf(c_29237,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| lt(X0,sk6)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(skaf43(sk6,iPr_def_15))
| ~ ssList(app(iPr_def_15,cons(X0,X1)))
| ~ strictorderP(app(app(skaf42(iPr_def_15,sk6),cons(sk6,skaf43(sk6,iPr_def_15))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_28874,c_430]) ).
tcf(c_29238,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(skaf43(sk6,iPr_def_15))
| ~ ssList(app(iPr_def_15,cons(X0,X1)))
| ~ totalorderedP(app(app(skaf42(iPr_def_15,sk6),cons(sk6,skaf43(sk6,iPr_def_15))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_28874,c_429]) ).
tcf(c_29239,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(skaf43(sk6,iPr_def_15))
| ~ ssList(app(iPr_def_15,cons(X0,X1)))
| ~ strictorderedP(app(app(skaf42(iPr_def_15,sk6),cons(sk6,skaf43(sk6,iPr_def_15))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_28874,c_428]) ).
tcf(c_29240,plain,
! [X0: $i] :
( ~ ssItem(sk6)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(skaf43(sk6,iPr_def_15))
| ~ ssList(app(iPr_def_15,cons(sk6,X0)))
| ~ duplicatefreeP(app(app(skaf42(iPr_def_15,sk6),cons(sk6,skaf43(sk6,iPr_def_15))),cons(sk6,X0))) ),
inference(superposition,[status(thm)],[c_28874,c_426]) ).
tcf(c_29242,plain,
( frontsegP(iPr_def_15,skaf42(iPr_def_15,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29227,c_300]) ).
tcf(c_29245,plain,
( rearsegP(iPr_def_15,cons(sk6,skaf43(sk6,iPr_def_15)))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29228,c_300]) ).
tcf(c_29248,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf42(iPr_def_15,sk6),X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29233,c_300]) ).
tcf(c_29253,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ memberP(skaf42(iPr_def_15,sk6),X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29232,c_300]) ).
tcf(c_29258,plain,
! [X0: $i] :
( rearsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15)))
| ~ rearsegP(cons(sk6,skaf43(sk6,iPr_def_15)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29230,c_300]) ).
tcf(c_29263,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15)))
| ~ memberP(cons(sk6,skaf43(sk6,iPr_def_15)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29229,c_300]) ).
tcf(c_29268,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_15,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15)))
| ~ segmentP(cons(sk6,skaf43(sk6,iPr_def_15)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29234,c_300]) ).
tcf(c_29274,plain,
! [X0: $i] :
( memberP(skaf42(iPr_def_15,sk6),X0)
| memberP(cons(sk6,skaf43(sk6,iPr_def_15)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_15,X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29224,c_300]) ).
tcf(c_29280,plain,
! [X0: $i] :
( ( cons(sk6,skaf43(sk6,iPr_def_15)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15)))
| ( app(skaf42(iPr_def_15,sk6),X0) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29231,c_300]) ).
tcf(c_29285,plain,
! [X0: $i] :
( ( skaf42(iPr_def_15,sk6) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15)))
| ( app(X0,cons(sk6,skaf43(sk6,iPr_def_15))) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29222,c_300]) ).
tcf(c_29290,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),cons(sk6,skaf43(sk6,iPr_def_15)))
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(app(iPr_def_15,X0))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15))) ),
inference(light_normalisation,[status(thm)],[c_29221,c_28874]) ).
tcf(c_29291,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),cons(sk6,skaf43(sk6,iPr_def_15)))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_15))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29290,c_300]) ).
tcf(c_29296,plain,
! [X0: $i] :
( ~ ssItem(sk6)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(skaf43(sk6,iPr_def_15))
| ~ duplicatefreeP(app(iPr_def_15,cons(sk6,X0)))
| ~ ssList(app(iPr_def_15,cons(sk6,X0))) ),
inference(light_normalisation,[status(thm)],[c_29240,c_28874]) ).
tcf(c_29297,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(iPr_def_15,cons(sk6,X0)))
| ~ ssList(app(iPr_def_15,cons(sk6,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29296,c_6484,c_300,c_299]) ).
tcf(c_29301,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(skaf43(sk6,iPr_def_15))
| ~ strictorderedP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_29239,c_28874]) ).
tcf(c_29302,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29301,c_6484,c_300,c_299]) ).
tcf(c_29308,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(skaf43(sk6,iPr_def_15))
| ~ totalorderedP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_29238,c_28874]) ).
tcf(c_29309,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29308,c_6484,c_300,c_299]) ).
tcf(c_29315,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| lt(X0,sk6)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(skaf43(sk6,iPr_def_15))
| ~ strictorderP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_29237,c_28874]) ).
tcf(c_29316,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| lt(X0,sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29315,c_6484,c_300,c_299]) ).
tcf(c_29323,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| leq(X0,sk6)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(skaf43(sk6,iPr_def_15))
| ~ totalorderP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_29236,c_28874]) ).
tcf(c_29324,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| leq(X0,sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29323,c_6484,c_300,c_299]) ).
tcf(c_29331,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk6,X0)
| ~ leq(X0,sk6)
| ~ ssList(skaf42(iPr_def_15,sk6))
| ~ ssList(skaf43(sk6,iPr_def_15))
| ~ cyclefreeP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_29235,c_28874]) ).
tcf(c_29332,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk6,X0)
| ~ leq(X0,sk6)
| ~ cyclefreeP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29331,c_6484,c_300,c_299]) ).
tcf(c_29365,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),cons(sk6,skaf43(sk6,iPr_def_16)))
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16)))
| ~ ssList(app(app(skaf42(iPr_def_16,sk6),cons(sk6,skaf43(sk6,iPr_def_16))),X0)) ),
inference(superposition,[status(thm)],[c_28898,c_420]) ).
tcf(c_29366,plain,
! [X0: $i] :
( ( skaf42(iPr_def_16,sk6) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16)))
| ( app(X0,cons(sk6,skaf43(sk6,iPr_def_16))) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_28898,c_398]) ).
tcf(c_29368,plain,
! [X0: $i] :
( memberP(skaf42(iPr_def_16,sk6),X0)
| memberP(cons(sk6,skaf43(sk6,iPr_def_16)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16))) ),
inference(superposition,[status(thm)],[c_28898,c_405]) ).
tcf(c_29371,plain,
( frontsegP(iPr_def_16,skaf42(iPr_def_16,sk6))
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16))) ),
inference(superposition,[status(thm)],[c_28898,c_808]) ).
tcf(c_29372,plain,
( rearsegP(iPr_def_16,cons(sk6,skaf43(sk6,iPr_def_16)))
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16))) ),
inference(superposition,[status(thm)],[c_28898,c_807]) ).
tcf(c_29373,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16)))
| ~ memberP(cons(sk6,skaf43(sk6,iPr_def_16)),X0) ),
inference(superposition,[status(thm)],[c_28898,c_388]) ).
tcf(c_29374,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16)))
| ~ rearsegP(cons(sk6,skaf43(sk6,iPr_def_16)),X0) ),
inference(superposition,[status(thm)],[c_28898,c_383]) ).
tcf(c_29375,plain,
! [X0: $i] :
( ( cons(sk6,skaf43(sk6,iPr_def_16)) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16)))
| ( app(skaf42(iPr_def_16,sk6),X0) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_28898,c_397]) ).
tcf(c_29376,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ memberP(skaf42(iPr_def_16,sk6),X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16))) ),
inference(superposition,[status(thm)],[c_28898,c_387]) ).
tcf(c_29377,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ frontsegP(skaf42(iPr_def_16,sk6),X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16))) ),
inference(superposition,[status(thm)],[c_28898,c_384]) ).
tcf(c_29378,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16)))
| ~ segmentP(cons(sk6,skaf43(sk6,iPr_def_16)),X0) ),
inference(superposition,[status(thm)],[c_28898,c_419]) ).
tcf(c_29379,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk6,X0)
| ~ leq(X0,sk6)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(skaf43(sk6,iPr_def_16))
| ~ ssList(app(iPr_def_16,cons(X0,X1)))
| ~ cyclefreeP(app(app(skaf42(iPr_def_16,sk6),cons(sk6,skaf43(sk6,iPr_def_16))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_28898,c_432]) ).
tcf(c_29380,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| leq(X0,sk6)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(skaf43(sk6,iPr_def_16))
| ~ ssList(app(iPr_def_16,cons(X0,X1)))
| ~ totalorderP(app(app(skaf42(iPr_def_16,sk6),cons(sk6,skaf43(sk6,iPr_def_16))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_28898,c_431]) ).
tcf(c_29381,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| lt(X0,sk6)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(skaf43(sk6,iPr_def_16))
| ~ ssList(app(iPr_def_16,cons(X0,X1)))
| ~ strictorderP(app(app(skaf42(iPr_def_16,sk6),cons(sk6,skaf43(sk6,iPr_def_16))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_28898,c_430]) ).
tcf(c_29382,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(skaf43(sk6,iPr_def_16))
| ~ ssList(app(iPr_def_16,cons(X0,X1)))
| ~ totalorderedP(app(app(skaf42(iPr_def_16,sk6),cons(sk6,skaf43(sk6,iPr_def_16))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_28898,c_429]) ).
tcf(c_29383,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(skaf43(sk6,iPr_def_16))
| ~ ssList(app(iPr_def_16,cons(X0,X1)))
| ~ strictorderedP(app(app(skaf42(iPr_def_16,sk6),cons(sk6,skaf43(sk6,iPr_def_16))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_28898,c_428]) ).
tcf(c_29384,plain,
! [X0: $i] :
( ~ ssItem(sk6)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(skaf43(sk6,iPr_def_16))
| ~ ssList(app(iPr_def_16,cons(sk6,X0)))
| ~ duplicatefreeP(app(app(skaf42(iPr_def_16,sk6),cons(sk6,skaf43(sk6,iPr_def_16))),cons(sk6,X0))) ),
inference(superposition,[status(thm)],[c_28898,c_426]) ).
tcf(c_29386,plain,
( frontsegP(iPr_def_16,skaf42(iPr_def_16,sk6))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29371,c_300]) ).
tcf(c_29389,plain,
( rearsegP(iPr_def_16,cons(sk6,skaf43(sk6,iPr_def_16)))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29372,c_300]) ).
tcf(c_29392,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf42(iPr_def_16,sk6),X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29377,c_300]) ).
tcf(c_29397,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ memberP(skaf42(iPr_def_16,sk6),X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29376,c_300]) ).
tcf(c_29402,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16)))
| ~ rearsegP(cons(sk6,skaf43(sk6,iPr_def_16)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29374,c_300]) ).
tcf(c_29407,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16)))
| ~ memberP(cons(sk6,skaf43(sk6,iPr_def_16)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29373,c_300]) ).
tcf(c_29412,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16)))
| ~ segmentP(cons(sk6,skaf43(sk6,iPr_def_16)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29378,c_300]) ).
tcf(c_29418,plain,
! [X0: $i] :
( memberP(skaf42(iPr_def_16,sk6),X0)
| memberP(cons(sk6,skaf43(sk6,iPr_def_16)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29368,c_300]) ).
tcf(c_29424,plain,
! [X0: $i] :
( ( cons(sk6,skaf43(sk6,iPr_def_16)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16)))
| ( app(skaf42(iPr_def_16,sk6),X0) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29375,c_300]) ).
tcf(c_29429,plain,
! [X0: $i] :
( ( skaf42(iPr_def_16,sk6) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16)))
| ( app(X0,cons(sk6,skaf43(sk6,iPr_def_16))) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29366,c_300]) ).
tcf(c_29434,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),cons(sk6,skaf43(sk6,iPr_def_16)))
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(app(iPr_def_16,X0))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16))) ),
inference(light_normalisation,[status(thm)],[c_29365,c_28898]) ).
tcf(c_29435,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),cons(sk6,skaf43(sk6,iPr_def_16)))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ ssList(cons(sk6,skaf43(sk6,iPr_def_16))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29434,c_300]) ).
tcf(c_29440,plain,
! [X0: $i] :
( ~ ssItem(sk6)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(skaf43(sk6,iPr_def_16))
| ~ duplicatefreeP(app(iPr_def_16,cons(sk6,X0)))
| ~ ssList(app(iPr_def_16,cons(sk6,X0))) ),
inference(light_normalisation,[status(thm)],[c_29384,c_28898]) ).
tcf(c_29441,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(iPr_def_16,cons(sk6,X0)))
| ~ ssList(app(iPr_def_16,cons(sk6,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29440,c_6484,c_300,c_299]) ).
tcf(c_29445,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(skaf43(sk6,iPr_def_16))
| ~ strictorderedP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_29383,c_28898]) ).
tcf(c_29446,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29445,c_6484,c_300,c_299]) ).
tcf(c_29452,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(skaf43(sk6,iPr_def_16))
| ~ totalorderedP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_29382,c_28898]) ).
tcf(c_29453,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29452,c_6484,c_300,c_299]) ).
tcf(c_29459,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| lt(X0,sk6)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(skaf43(sk6,iPr_def_16))
| ~ strictorderP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_29381,c_28898]) ).
tcf(c_29460,plain,
! [X0: $i,X1: $i] :
( lt(sk6,X0)
| lt(X0,sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29459,c_6484,c_300,c_299]) ).
tcf(c_29467,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| leq(X0,sk6)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(skaf43(sk6,iPr_def_16))
| ~ totalorderP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_29380,c_28898]) ).
tcf(c_29468,plain,
! [X0: $i,X1: $i] :
( leq(sk6,X0)
| leq(X0,sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29467,c_6484,c_300,c_299]) ).
tcf(c_29475,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk6,X0)
| ~ leq(X0,sk6)
| ~ ssList(skaf42(iPr_def_16,sk6))
| ~ ssList(skaf43(sk6,iPr_def_16))
| ~ cyclefreeP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_29379,c_28898]) ).
tcf(c_29476,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk6,X0)
| ~ leq(X0,sk6)
| ~ cyclefreeP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29475,c_6484,c_300,c_299]) ).
tcf(c_29597,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( sk7 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6474,c_17074]) ).
tcf(c_29600,plain,
( ( skaf45(iPr_def_15,sk7) = nil )
| ~ ssList(skaf45(iPr_def_15,sk7))
| ( sk7 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24730,c_17074]) ).
tcf(c_29601,plain,
( ( skaf45(iPr_def_16,sk7) = nil )
| ~ ssList(skaf45(iPr_def_16,sk7))
| ( sk7 != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_26335,c_17074]) ).
tcf(c_29602,plain,
sk7 != iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_29597,c_10150,c_9489]) ).
tcf(c_29603,plain,
( ( skaf45(iPr_def_16,sk7) = nil )
| ( sk7 != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29601,c_298]) ).
tcf(c_29606,plain,
( ( skaf45(iPr_def_15,sk7) = nil )
| ( sk7 != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29600,c_298]) ).
tcf(c_29609,plain,
~ segmentP(sk7,iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_27066,c_29602]) ).
tcf(c_29610,plain,
~ frontsegP(sk7,iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_12819,c_29602]) ).
tcf(c_29626,plain,
( ( skaf45(iPr_def_13,sk7) = iPr_def_12 )
| ~ ssList(skaf45(iPr_def_13,sk7)) ),
inference(superposition,[status(thm)],[c_13166,c_17091]) ).
tcf(c_29627,plain,
( ( skaf45(iPr_def_15,sk7) = iPr_def_12 )
| ~ ssList(skaf45(iPr_def_15,sk7))
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24730,c_17091]) ).
tcf(c_29628,plain,
( ( skaf45(iPr_def_16,sk7) = iPr_def_12 )
| ~ ssList(skaf45(iPr_def_16,sk7))
| ( iPr_def_13 != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_26335,c_17091]) ).
tcf(c_29629,plain,
skaf45(iPr_def_13,sk7) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_29626,c_298]) ).
tcf(c_29630,plain,
( ( skaf45(iPr_def_16,sk7) = iPr_def_12 )
| ( iPr_def_13 != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29628,c_298]) ).
tcf(c_29633,plain,
( ( skaf45(iPr_def_15,sk7) = iPr_def_12 )
| ( iPr_def_13 != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29627,c_298]) ).
tcf(c_29639,plain,
app(sk7,iPr_def_12) = iPr_def_13,
inference(demodulation,[status(thm)],[c_13166,c_29629]) ).
tcf(c_29645,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf67(X0),X1),skaf67(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf67(X0))
| ~ ssList(app(app(nil,skaf67(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9210,c_420]) ).
tcf(c_29646,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ( app(X0,skaf67(X1)) != skaf67(X1) ) ),
inference(superposition,[status(thm)],[c_9210,c_398]) ).
tcf(c_29651,plain,
! [X0: $i] :
( frontsegP(skaf67(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf67(X0)) ),
inference(superposition,[status(thm)],[c_9210,c_808]) ).
tcf(c_29652,plain,
! [X0: $i] :
( rearsegP(skaf67(X0),skaf67(X0))
| ~ ssList(nil)
| ~ ssList(skaf67(X0)) ),
inference(superposition,[status(thm)],[c_9210,c_807]) ).
tcf(c_29655,plain,
! [X0: $i,X1: $i] :
( ( skaf67(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ( app(nil,X0) != skaf67(X1) ) ),
inference(superposition,[status(thm)],[c_9210,c_397]) ).
tcf(c_29657,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf67(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf67(X0)) ),
inference(superposition,[status(thm)],[c_9210,c_384]) ).
tcf(c_29658,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf67(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf67(X0))
| ~ segmentP(skaf67(X0),X1) ),
inference(superposition,[status(thm)],[c_9210,c_419]) ).
tcf(c_29659,plain,
! [X0: $i] : frontsegP(skaf67(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_29651,c_255,c_275]) ).
tcf(c_29660,plain,
! [X0: $i] : rearsegP(skaf67(X0),skaf67(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_29652,c_255,c_275]) ).
tcf(c_29661,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf67(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29657,c_255,c_275]) ).
tcf(c_29665,plain,
! [X0: $i,X1: $i] :
( ( skaf67(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf67(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29655,c_255,c_275]) ).
tcf(c_29669,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf67(X1)) != skaf67(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29646,c_255,c_275]) ).
tcf(c_29673,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf67(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf67(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29658,c_255,c_275]) ).
tcf(c_29678,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf67(X0),X1),skaf67(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf67(X0))
| ~ ssList(app(skaf67(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_29645,c_9210]) ).
tcf(c_29679,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf67(X0),X1),skaf67(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf67(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29678,c_255,c_275]) ).
tcf(c_29687,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk6,sk4))) = app(cons(X1,X0),cons(sk6,sk4)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28942,c_404]) ).
tcf(c_29688,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk6,sk4)),X0) = app(X1,app(cons(sk6,sk4),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28942,c_396]) ).
tcf(c_29689,plain,
! [X0: $i] :
( ( cons(sk6,sk4) = nil )
| ( app(tl(cons(sk6,sk4)),X0) = tl(app(cons(sk6,sk4),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28942,c_380]) ).
tcf(c_29690,plain,
! [X0: $i] :
( ( cons(sk6,sk4) = nil )
| ( hd(app(cons(sk6,sk4),X0)) = hd(cons(sk6,sk4)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28942,c_370]) ).
tcf(c_29691,plain,
( cyclefreeP(cons(sk6,sk4))
| ( app(app(skaf51(cons(sk6,sk4)),cons(skaf49(cons(sk6,sk4)),skaf52(cons(sk6,sk4)))),cons(skaf50(cons(sk6,sk4)),skaf53(cons(sk6,sk4)))) = cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_28942,c_414]) ).
tcf(c_29692,plain,
( totalorderP(cons(sk6,sk4))
| ( app(app(skaf56(cons(sk6,sk4)),cons(skaf54(cons(sk6,sk4)),skaf57(cons(sk6,sk4)))),cons(skaf55(cons(sk6,sk4)),skaf58(cons(sk6,sk4)))) = cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_28942,c_413]) ).
tcf(c_29693,plain,
( strictorderP(cons(sk6,sk4))
| ( app(app(skaf61(cons(sk6,sk4)),cons(skaf59(cons(sk6,sk4)),skaf62(cons(sk6,sk4)))),cons(skaf60(cons(sk6,sk4)),skaf63(cons(sk6,sk4)))) = cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_28942,c_412]) ).
tcf(c_29694,plain,
( totalorderedP(cons(sk6,sk4))
| ( app(app(skaf66(cons(sk6,sk4)),cons(skaf64(cons(sk6,sk4)),skaf67(cons(sk6,sk4)))),cons(skaf65(cons(sk6,sk4)),skaf68(cons(sk6,sk4)))) = cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_28942,c_411]) ).
tcf(c_29695,plain,
( strictorderedP(cons(sk6,sk4))
| ( app(app(skaf71(cons(sk6,sk4)),cons(skaf69(cons(sk6,sk4)),skaf72(cons(sk6,sk4)))),cons(skaf70(cons(sk6,sk4)),skaf73(cons(sk6,sk4)))) = cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_28942,c_410]) ).
tcf(c_29696,plain,
( duplicatefreeP(cons(sk6,sk4))
| ( app(app(skaf75(cons(sk6,sk4)),cons(skaf74(cons(sk6,sk4)),skaf76(cons(sk6,sk4)))),cons(skaf74(cons(sk6,sk4)),skaf77(cons(sk6,sk4)))) = cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_28942,c_409]) ).
tcf(c_29697,plain,
( equalelemsP(cons(sk6,sk4))
| ( app(skaf80(cons(sk6,sk4)),cons(skaf78(cons(sk6,sk4)),cons(skaf79(cons(sk6,sk4)),skaf81(cons(sk6,sk4))))) = cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_28942,c_389]) ).
tcf(c_29698,plain,
hd(cons(sk6,cons(sk6,sk4))) = sk6,
inference(superposition,[status(thm)],[c_28942,c_10017]) ).
tcf(c_29699,plain,
( ( cons(sk6,sk4) = nil )
| ( cons(skaf83(cons(sk6,sk4)),skaf82(cons(sk6,sk4))) = cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_28942,c_356]) ).
tcf(c_29700,plain,
( ( cons(sk6,sk4) = nil )
| ( cons(hd(cons(sk6,sk4)),tl(cons(sk6,sk4))) = cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_28942,c_351]) ).
tcf(c_29701,plain,
hd(cons(sk5,cons(sk6,sk4))) = sk5,
inference(superposition,[status(thm)],[c_28942,c_10016]) ).
tcf(c_29702,plain,
tl(cons(sk6,cons(sk6,sk4))) = cons(sk6,sk4),
inference(superposition,[status(thm)],[c_28942,c_9887]) ).
tcf(c_29703,plain,
tl(cons(sk5,cons(sk6,sk4))) = cons(sk6,sk4),
inference(superposition,[status(thm)],[c_28942,c_9886]) ).
tcf(c_29705,plain,
app(nil,cons(sk6,sk4)) = cons(sk6,sk4),
inference(superposition,[status(thm)],[c_28942,c_321]) ).
tcf(c_29706,plain,
app(cons(sk6,sk4),nil) = cons(sk6,sk4),
inference(superposition,[status(thm)],[c_28942,c_320]) ).
tcf(c_29710,plain,
! [X0: $i] :
( ( cons(sk6,sk4) = nil )
| ( hd(app(cons(sk6,sk4),X0)) = sk6 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_29690,c_11221]) ).
tcf(c_29720,plain,
! [X0: $i] :
( ( cons(sk6,sk4) = nil )
| ( tl(app(cons(sk6,sk4),X0)) = app(sk4,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_29689,c_10308]) ).
tcf(c_29782,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf67(X1))
| ~ frontsegP(X0,skaf67(X1)) ),
inference(superposition,[status(thm)],[c_29659,c_401]) ).
tcf(c_29783,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf67(X0),nil)) = skaf67(X0) )
| ~ ssList(nil)
| ~ ssList(skaf67(X0)) ),
inference(superposition,[status(thm)],[c_29659,c_379]) ).
tcf(c_29784,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf67(X0))
| ~ frontsegP(nil,skaf67(X0)) ),
inference(superposition,[status(thm)],[c_29659,c_376]) ).
tcf(c_29785,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ~ frontsegP(nil,skaf67(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29784,c_255,c_275]) ).
tcf(c_29788,plain,
! [X0: $i] : app(nil,skaf45(skaf67(X0),nil)) = skaf67(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_29783,c_255,c_275]) ).
tcf(c_29792,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ~ rearsegP(X0,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_28935,c_400]) ).
tcf(c_29794,plain,
( ( cons(sk6,sk8) = sk8 )
| ~ ssList(sk8)
| ~ ssList(cons(sk6,sk8))
| ~ rearsegP(sk8,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_28935,c_375]) ).
tcf(c_29797,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ~ rearsegP(X0,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_28936,c_400]) ).
tcf(c_29799,plain,
( ( cons(sk6,sk7) = sk7 )
| ~ ssList(sk7)
| ~ ssList(cons(sk6,sk7))
| ~ rearsegP(sk7,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_28936,c_375]) ).
tcf(c_29802,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ~ rearsegP(X0,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_28937,c_400]) ).
tcf(c_29804,plain,
( ( cons(sk6,sk4) = sk4 )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,sk4))
| ~ rearsegP(sk4,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_28937,c_375]) ).
tcf(c_29807,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_28961,c_401]) ).
tcf(c_29808,plain,
( ( app(iPr_def_14,skaf45(cons(sk6,sk4),iPr_def_14)) = cons(sk6,sk4) )
| ~ ssList(iPr_def_14)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_28961,c_379]) ).
tcf(c_29809,plain,
( ( cons(sk6,sk4) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(iPr_def_14,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_28961,c_376]) ).
tcf(c_29810,plain,
( ( cons(sk6,sk4) = iPr_def_14 )
| ~ frontsegP(iPr_def_14,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29809,c_9488,c_28942]) ).
tcf(c_29813,plain,
app(iPr_def_14,skaf45(cons(sk6,sk4),iPr_def_14)) = cons(sk6,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_29808,c_9488,c_28942]) ).
tcf(c_29814,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_14)
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29807,c_9488,c_28942]) ).
tcf(c_29826,plain,
( ( nil = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ( sk8 != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6477,c_17621]) ).
tcf(c_29829,plain,
( ( skaf46(sk8,sk8) = nil )
| ~ ssList(skaf46(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_12957,c_17621]) ).
tcf(c_29830,plain,
skaf46(sk8,sk8) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_29829,c_297]) ).
tcf(c_29831,plain,
sk8 != iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_29826,c_11686,c_24748]) ).
tcf(c_29832,plain,
rearsegP(sk8,skaf45(sk8,nil)),
inference(demodulation,[status(thm)],[c_18362,c_29830]) ).
tcf(c_29843,plain,
~ segmentP(sk8,iPr_def_16),
inference(backward_subsumption_resolution,[status(thm)],[c_28546,c_29831]) ).
tcf(c_29844,plain,
~ rearsegP(sk8,iPr_def_16),
inference(backward_subsumption_resolution,[status(thm)],[c_12657,c_29831]) ).
tcf(c_29852,plain,
( ( skaf46(sk7,sk7) = nil )
| ~ ssList(skaf46(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_12958,c_17625]) ).
tcf(c_29853,plain,
skaf46(sk7,sk7) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_29852,c_297]) ).
tcf(c_29871,plain,
( ( skaf46(sk4,sk4) = nil )
| ~ ssList(skaf46(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_12959,c_17629]) ).
tcf(c_29872,plain,
skaf46(sk4,sk4) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_29871,c_297]) ).
tcf(c_30015,plain,
( ( sk7 = nil )
| ~ ssList(nil)
| ( iPr_def_12 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9517,c_17658]) ).
tcf(c_30016,plain,
( ( sk7 = nil )
| ( iPr_def_12 != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30015,c_255]) ).
tcf(c_30019,plain,
! [X0: $i] :
( ~ memberP(iPr_def_14,X0)
| ~ ssItem(X0)
| ( X0 = sk6 ) ),
inference(global_subsumption_just,[status(thm)],[c_18183,c_318,c_18183]) ).
tcf(c_30020,plain,
! [X0: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(renaming,[status(thm)],[c_30019]) ).
tcf(c_30034,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf66(X0),X1),skaf66(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf66(X0))
| ~ ssList(app(app(nil,skaf66(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9211,c_420]) ).
tcf(c_30035,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ( app(X0,skaf66(X1)) != skaf66(X1) ) ),
inference(superposition,[status(thm)],[c_9211,c_398]) ).
tcf(c_30040,plain,
! [X0: $i] :
( frontsegP(skaf66(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf66(X0)) ),
inference(superposition,[status(thm)],[c_9211,c_808]) ).
tcf(c_30041,plain,
! [X0: $i] :
( rearsegP(skaf66(X0),skaf66(X0))
| ~ ssList(nil)
| ~ ssList(skaf66(X0)) ),
inference(superposition,[status(thm)],[c_9211,c_807]) ).
tcf(c_30044,plain,
! [X0: $i,X1: $i] :
( ( skaf66(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ( app(nil,X0) != skaf66(X1) ) ),
inference(superposition,[status(thm)],[c_9211,c_397]) ).
tcf(c_30046,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf66(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf66(X0)) ),
inference(superposition,[status(thm)],[c_9211,c_384]) ).
tcf(c_30047,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf66(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf66(X0))
| ~ segmentP(skaf66(X0),X1) ),
inference(superposition,[status(thm)],[c_9211,c_419]) ).
tcf(c_30048,plain,
! [X0: $i] : frontsegP(skaf66(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_30040,c_255,c_276]) ).
tcf(c_30049,plain,
! [X0: $i] : rearsegP(skaf66(X0),skaf66(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_30041,c_255,c_276]) ).
tcf(c_30050,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf66(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30046,c_255,c_276]) ).
tcf(c_30054,plain,
! [X0: $i,X1: $i] :
( ( skaf66(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf66(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30044,c_255,c_276]) ).
tcf(c_30058,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf66(X1)) != skaf66(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30035,c_255,c_276]) ).
tcf(c_30062,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf66(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf66(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30047,c_255,c_276]) ).
tcf(c_30067,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf66(X0),X1),skaf66(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf66(X0))
| ~ ssList(app(skaf66(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_30034,c_9211]) ).
tcf(c_30068,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf66(X0),X1),skaf66(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf66(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30067,c_255,c_276]) ).
tcf(c_30076,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf66(X1))
| ~ frontsegP(X0,skaf66(X1)) ),
inference(superposition,[status(thm)],[c_30048,c_401]) ).
tcf(c_30077,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf66(X0),nil)) = skaf66(X0) )
| ~ ssList(nil)
| ~ ssList(skaf66(X0)) ),
inference(superposition,[status(thm)],[c_30048,c_379]) ).
tcf(c_30078,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf66(X0))
| ~ frontsegP(nil,skaf66(X0)) ),
inference(superposition,[status(thm)],[c_30048,c_376]) ).
tcf(c_30079,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ~ frontsegP(nil,skaf66(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30078,c_255,c_276]) ).
tcf(c_30082,plain,
! [X0: $i] : app(nil,skaf45(skaf66(X0),nil)) = skaf66(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_30077,c_255,c_276]) ).
tcf(c_30086,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_28962,c_401]) ).
tcf(c_30087,plain,
( ( app(iPr_def_14,skaf45(cons(sk6,sk7),iPr_def_14)) = cons(sk6,sk7) )
| ~ ssList(iPr_def_14)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_28962,c_379]) ).
tcf(c_30088,plain,
( ( cons(sk6,sk7) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(iPr_def_14,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_28962,c_376]) ).
tcf(c_30089,plain,
( ( cons(sk6,sk7) = iPr_def_14 )
| ~ frontsegP(iPr_def_14,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30088,c_9488,c_28940]) ).
tcf(c_30092,plain,
app(iPr_def_14,skaf45(cons(sk6,sk7),iPr_def_14)) = cons(sk6,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_30087,c_9488,c_28940]) ).
tcf(c_30093,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_14)
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30086,c_9488,c_28940]) ).
tcf(c_30098,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_28963,c_401]) ).
tcf(c_30099,plain,
( ( app(iPr_def_14,skaf45(cons(sk6,sk8),iPr_def_14)) = cons(sk6,sk8) )
| ~ ssList(iPr_def_14)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_28963,c_379]) ).
tcf(c_30100,plain,
( ( cons(sk6,sk8) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(iPr_def_14,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_28963,c_376]) ).
tcf(c_30101,plain,
( ( cons(sk6,sk8) = iPr_def_14 )
| ~ frontsegP(iPr_def_14,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30100,c_9488,c_28938]) ).
tcf(c_30104,plain,
app(iPr_def_14,skaf45(cons(sk6,sk8),iPr_def_14)) = cons(sk6,sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_30099,c_9488,c_28938]) ).
tcf(c_30105,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_14)
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30098,c_9488,c_28938]) ).
tcf(c_30111,plain,
! [X0: $i] :
( ( app(skaf46(skaf67(X0),skaf67(X0)),skaf67(X0)) = skaf67(X0) )
| ~ ssList(skaf67(X0)) ),
inference(superposition,[status(thm)],[c_29660,c_378]) ).
tcf(c_30113,plain,
! [X0: $i] : app(skaf46(skaf67(X0),skaf67(X0)),skaf67(X0)) = skaf67(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_30111,c_275]) ).
tcf(c_30115,plain,
! [X0: $i] :
( ~ memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ( X0 = sk5 ) ),
inference(global_subsumption_just,[status(thm)],[c_18188,c_318,c_18188]) ).
tcf(c_30116,plain,
! [X0: $i] :
( ( X0 = sk5 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(renaming,[status(thm)],[c_30115]) ).
tcf(c_30132,plain,
( ( sk4 = nil )
| ( hd(app(sk4,sk4)) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_6486,c_11901]) ).
tcf(c_30133,plain,
( ( sk4 = nil )
| ( hd(app(sk4,sk7)) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_6483,c_11901]) ).
tcf(c_30134,plain,
( ( sk4 = nil )
| ( hd(app(sk4,sk8)) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_6482,c_11901]) ).
tcf(c_30135,plain,
( ( sk4 = nil )
| ( hd(app(sk4,nil)) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_255,c_11901]) ).
tcf(c_30136,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf82(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_260,c_11901]) ).
tcf(c_30137,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf81(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_261,c_11901]) ).
tcf(c_30138,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf80(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_262,c_11901]) ).
tcf(c_30139,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf77(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_265,c_11901]) ).
tcf(c_30140,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf76(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_266,c_11901]) ).
tcf(c_30141,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf75(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_267,c_11901]) ).
tcf(c_30142,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf73(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_269,c_11901]) ).
tcf(c_30143,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf72(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_270,c_11901]) ).
tcf(c_30144,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf71(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_271,c_11901]) ).
tcf(c_30145,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf68(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_274,c_11901]) ).
tcf(c_30146,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf67(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_275,c_11901]) ).
tcf(c_30147,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf66(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_276,c_11901]) ).
tcf(c_30148,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf63(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_279,c_11901]) ).
tcf(c_30149,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf62(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_280,c_11901]) ).
tcf(c_30150,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf61(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_281,c_11901]) ).
tcf(c_30151,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf58(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_284,c_11901]) ).
tcf(c_30152,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf57(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_285,c_11901]) ).
tcf(c_30153,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf56(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_286,c_11901]) ).
tcf(c_30154,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf53(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_289,c_11901]) ).
tcf(c_30155,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf52(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_290,c_11901]) ).
tcf(c_30156,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf51(X0))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_291,c_11901]) ).
tcf(c_30157,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf48(X0,X1))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_295,c_11901]) ).
tcf(c_30158,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf47(X0,X1))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_296,c_11901]) ).
tcf(c_30159,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf46(X0,X1))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_297,c_11901]) ).
tcf(c_30160,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf45(X0,X1))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_298,c_11901]) ).
tcf(c_30161,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf43(X0,X1))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_299,c_11901]) ).
tcf(c_30162,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,skaf42(X0,X1))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_300,c_11901]) ).
tcf(c_30163,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( X0 = nil )
| ( hd(app(sk4,tl(X0))) = hd(sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_11901]) ).
tcf(c_30164,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,app(X1,X0))) = hd(sk4) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_11901]) ).
tcf(c_30165,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( hd(app(sk4,cons(X1,X0))) = hd(sk4) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_11901]) ).
tcf(c_30166,plain,
( ( sk4 = nil )
| ( hd(app(sk4,iPr_def_16)) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_9020,c_11901]) ).
tcf(c_30167,plain,
( ( sk4 = nil )
| ( hd(app(sk4,iPr_def_13)) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_9527,c_11901]) ).
tcf(c_30168,plain,
( ( sk4 = nil )
| ( hd(app(sk4,iPr_def_12)) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_9489,c_11901]) ).
tcf(c_30169,plain,
( ( sk4 = nil )
| ( hd(app(sk4,iPr_def_15)) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_24748,c_11901]) ).
tcf(c_30170,plain,
( ( sk4 = nil )
| ( hd(app(sk4,iPr_def_14)) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_9488,c_11901]) ).
tcf(c_30171,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk6,sk4))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_28942,c_11901]) ).
tcf(c_30172,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk6,sk7))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_28940,c_11901]) ).
tcf(c_30173,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk6,sk8))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_28938,c_11901]) ).
tcf(c_30389,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sk4,sk4)))
| ( sk4 = nil )
| ( app(sk4,sk4) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sk4,sk4))
| ~ ssList(app(sk4,sk4))
| ~ lt(X0,hd(sk4)) ),
inference(superposition,[status(thm)],[c_30132,c_407]) ).
tcf(c_30390,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sk4,sk4)))
| ( sk4 = nil )
| ( app(sk4,sk4) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sk4,sk4))
| ~ ssList(app(sk4,sk4))
| ~ leq(X0,hd(sk4)) ),
inference(superposition,[status(thm)],[c_30132,c_406]) ).
tcf(c_30391,plain,
( ssItem(hd(sk4))
| ( sk4 = nil )
| ( app(sk4,sk4) = nil )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_30132,c_325]) ).
tcf(c_30416,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sk4,sk7)))
| ( sk4 = nil )
| ( app(sk4,sk7) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sk4,sk7))
| ~ ssList(app(sk4,sk7))
| ~ lt(X0,hd(sk4)) ),
inference(superposition,[status(thm)],[c_30133,c_407]) ).
tcf(c_30417,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sk4,sk7)))
| ( sk4 = nil )
| ( app(sk4,sk7) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sk4,sk7))
| ~ ssList(app(sk4,sk7))
| ~ leq(X0,hd(sk4)) ),
inference(superposition,[status(thm)],[c_30133,c_406]) ).
tcf(c_30418,plain,
( ssItem(hd(sk4))
| ( sk4 = nil )
| ( app(sk4,sk7) = nil )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_30133,c_325]) ).
tcf(c_30443,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sk4,sk8)))
| ( sk4 = nil )
| ( app(sk4,sk8) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sk4,sk8))
| ~ ssList(app(sk4,sk8))
| ~ lt(X0,hd(sk4)) ),
inference(superposition,[status(thm)],[c_30134,c_407]) ).
tcf(c_30444,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sk4,sk8)))
| ( sk4 = nil )
| ( app(sk4,sk8) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sk4,sk8))
| ~ ssList(app(sk4,sk8))
| ~ leq(X0,hd(sk4)) ),
inference(superposition,[status(thm)],[c_30134,c_406]) ).
tcf(c_30445,plain,
( ssItem(hd(sk4))
| ( sk4 = nil )
| ( app(sk4,sk8) = nil )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_30134,c_325]) ).
tcf(c_30472,plain,
( ( sk7 = nil )
| ( hd(app(sk7,sk4)) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_6486,c_11902]) ).
tcf(c_30473,plain,
( ( sk7 = nil )
| ( hd(app(sk7,sk7)) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_6483,c_11902]) ).
tcf(c_30474,plain,
( ( sk7 = nil )
| ( hd(app(sk7,sk8)) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_6482,c_11902]) ).
tcf(c_30475,plain,
( ( sk7 = nil )
| ( hd(app(sk7,nil)) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_255,c_11902]) ).
tcf(c_30476,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf82(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_260,c_11902]) ).
tcf(c_30477,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf81(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_261,c_11902]) ).
tcf(c_30478,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf80(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_262,c_11902]) ).
tcf(c_30479,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf77(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_265,c_11902]) ).
tcf(c_30480,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf76(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_266,c_11902]) ).
tcf(c_30481,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf75(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_267,c_11902]) ).
tcf(c_30482,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf73(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_269,c_11902]) ).
tcf(c_30483,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf72(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_270,c_11902]) ).
tcf(c_30484,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf71(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_271,c_11902]) ).
tcf(c_30485,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf68(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_274,c_11902]) ).
tcf(c_30486,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf67(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_275,c_11902]) ).
tcf(c_30487,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf66(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_276,c_11902]) ).
tcf(c_30488,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf63(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_279,c_11902]) ).
tcf(c_30489,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf62(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_280,c_11902]) ).
tcf(c_30490,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf61(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_281,c_11902]) ).
tcf(c_30491,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf58(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_284,c_11902]) ).
tcf(c_30492,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf57(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_285,c_11902]) ).
tcf(c_30493,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf56(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_286,c_11902]) ).
tcf(c_30494,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf53(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_289,c_11902]) ).
tcf(c_30495,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf52(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_290,c_11902]) ).
tcf(c_30496,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf51(X0))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_291,c_11902]) ).
tcf(c_30497,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf48(X0,X1))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_295,c_11902]) ).
tcf(c_30498,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf47(X0,X1))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_296,c_11902]) ).
tcf(c_30499,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf46(X0,X1))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_297,c_11902]) ).
tcf(c_30500,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf45(X0,X1))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_298,c_11902]) ).
tcf(c_30501,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf43(X0,X1))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_299,c_11902]) ).
tcf(c_30502,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,skaf42(X0,X1))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_300,c_11902]) ).
tcf(c_30503,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( X0 = nil )
| ( hd(app(sk7,tl(X0))) = hd(sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_11902]) ).
tcf(c_30504,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,app(X1,X0))) = hd(sk7) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_11902]) ).
tcf(c_30505,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( hd(app(sk7,cons(X1,X0))) = hd(sk7) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_11902]) ).
tcf(c_30506,plain,
( ( sk7 = nil )
| ( hd(app(sk7,iPr_def_16)) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_9020,c_11902]) ).
tcf(c_30507,plain,
( ( sk7 = nil )
| ( hd(app(sk7,iPr_def_13)) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_9527,c_11902]) ).
tcf(c_30508,plain,
( ( sk7 = nil )
| ( hd(app(sk7,iPr_def_12)) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_9489,c_11902]) ).
tcf(c_30509,plain,
( ( sk7 = nil )
| ( hd(app(sk7,iPr_def_15)) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_24748,c_11902]) ).
tcf(c_30510,plain,
( ( sk7 = nil )
| ( hd(app(sk7,iPr_def_14)) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_9488,c_11902]) ).
tcf(c_30511,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk6,sk4))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_28942,c_11902]) ).
tcf(c_30512,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk6,sk7))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_28940,c_11902]) ).
tcf(c_30513,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk6,sk8))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_28938,c_11902]) ).
tcf(c_30518,plain,
( ( sk7 = nil )
| ( hd(sk7) = hd(iPr_def_13) ) ),
inference(light_normalisation,[status(thm)],[c_30508,c_29639]) ).
tcf(c_30784,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sk7,sk4)))
| ( sk7 = nil )
| ( app(sk7,sk4) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sk7,sk4))
| ~ ssList(app(sk7,sk4))
| ~ lt(X0,hd(sk7)) ),
inference(superposition,[status(thm)],[c_30472,c_407]) ).
tcf(c_30785,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sk7,sk4)))
| ( sk7 = nil )
| ( app(sk7,sk4) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sk7,sk4))
| ~ ssList(app(sk7,sk4))
| ~ leq(X0,hd(sk7)) ),
inference(superposition,[status(thm)],[c_30472,c_406]) ).
tcf(c_30786,plain,
( ssItem(hd(sk7))
| ( sk7 = nil )
| ( app(sk7,sk4) = nil )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_30472,c_325]) ).
tcf(c_30812,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf63(X0),X1),skaf63(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf63(X0))
| ~ ssList(app(app(nil,skaf63(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9212,c_420]) ).
tcf(c_30813,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ( app(X0,skaf63(X1)) != skaf63(X1) ) ),
inference(superposition,[status(thm)],[c_9212,c_398]) ).
tcf(c_30818,plain,
! [X0: $i] :
( frontsegP(skaf63(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf63(X0)) ),
inference(superposition,[status(thm)],[c_9212,c_808]) ).
tcf(c_30819,plain,
! [X0: $i] :
( rearsegP(skaf63(X0),skaf63(X0))
| ~ ssList(nil)
| ~ ssList(skaf63(X0)) ),
inference(superposition,[status(thm)],[c_9212,c_807]) ).
tcf(c_30822,plain,
! [X0: $i,X1: $i] :
( ( skaf63(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ( app(nil,X0) != skaf63(X1) ) ),
inference(superposition,[status(thm)],[c_9212,c_397]) ).
tcf(c_30824,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf63(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf63(X0)) ),
inference(superposition,[status(thm)],[c_9212,c_384]) ).
tcf(c_30825,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf63(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf63(X0))
| ~ segmentP(skaf63(X0),X1) ),
inference(superposition,[status(thm)],[c_9212,c_419]) ).
tcf(c_30826,plain,
! [X0: $i] : frontsegP(skaf63(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_30818,c_255,c_279]) ).
tcf(c_30827,plain,
! [X0: $i] : rearsegP(skaf63(X0),skaf63(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_30819,c_255,c_279]) ).
tcf(c_30828,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf63(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30824,c_255,c_279]) ).
tcf(c_30832,plain,
! [X0: $i,X1: $i] :
( ( skaf63(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf63(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30822,c_255,c_279]) ).
tcf(c_30836,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf63(X1)) != skaf63(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30813,c_255,c_279]) ).
tcf(c_30840,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf63(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf63(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30825,c_255,c_279]) ).
tcf(c_30845,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf63(X0),X1),skaf63(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf63(X0))
| ~ ssList(app(skaf63(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_30812,c_9212]) ).
tcf(c_30846,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf63(X0),X1),skaf63(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf63(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30845,c_255,c_279]) ).
tcf(c_30854,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf63(X1))
| ~ frontsegP(X0,skaf63(X1)) ),
inference(superposition,[status(thm)],[c_30826,c_401]) ).
tcf(c_30855,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf63(X0),nil)) = skaf63(X0) )
| ~ ssList(nil)
| ~ ssList(skaf63(X0)) ),
inference(superposition,[status(thm)],[c_30826,c_379]) ).
tcf(c_30856,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf63(X0))
| ~ frontsegP(nil,skaf63(X0)) ),
inference(superposition,[status(thm)],[c_30826,c_376]) ).
tcf(c_30857,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ~ frontsegP(nil,skaf63(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30856,c_255,c_279]) ).
tcf(c_30860,plain,
! [X0: $i] : app(nil,skaf45(skaf63(X0),nil)) = skaf63(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_30855,c_255,c_279]) ).
tcf(c_30865,plain,
! [X0: $i] :
( ( app(skaf46(skaf66(X0),skaf66(X0)),skaf66(X0)) = skaf66(X0) )
| ~ ssList(skaf66(X0)) ),
inference(superposition,[status(thm)],[c_30049,c_378]) ).
tcf(c_30867,plain,
! [X0: $i] : app(skaf46(skaf66(X0),skaf66(X0)),skaf66(X0)) = skaf66(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_30865,c_276]) ).
tcf(c_30870,plain,
! [X0: $i] :
( ( app(skaf46(skaf63(X0),skaf63(X0)),skaf63(X0)) = skaf63(X0) )
| ~ ssList(skaf63(X0)) ),
inference(superposition,[status(thm)],[c_30827,c_378]) ).
tcf(c_30872,plain,
! [X0: $i] : app(skaf46(skaf63(X0),skaf63(X0)),skaf63(X0)) = skaf63(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_30870,c_279]) ).
tcf(c_30895,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sk7,sk7)))
| ( sk7 = nil )
| ( app(sk7,sk7) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sk7,sk7))
| ~ ssList(app(sk7,sk7))
| ~ lt(X0,hd(sk7)) ),
inference(superposition,[status(thm)],[c_30473,c_407]) ).
tcf(c_30896,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sk7,sk7)))
| ( sk7 = nil )
| ( app(sk7,sk7) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sk7,sk7))
| ~ ssList(app(sk7,sk7))
| ~ leq(X0,hd(sk7)) ),
inference(superposition,[status(thm)],[c_30473,c_406]) ).
tcf(c_30897,plain,
( ssItem(hd(sk7))
| ( sk7 = nil )
| ( app(sk7,sk7) = nil )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_30473,c_325]) ).
tcf(c_30922,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sk7,sk8)))
| ( sk7 = nil )
| ( app(sk7,sk8) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sk7,sk8))
| ~ ssList(app(sk7,sk8))
| ~ lt(X0,hd(sk7)) ),
inference(superposition,[status(thm)],[c_30474,c_407]) ).
tcf(c_30923,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sk7,sk8)))
| ( sk7 = nil )
| ( app(sk7,sk8) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sk7,sk8))
| ~ ssList(app(sk7,sk8))
| ~ leq(X0,hd(sk7)) ),
inference(superposition,[status(thm)],[c_30474,c_406]) ).
tcf(c_30924,plain,
( ssItem(hd(sk7))
| ( sk7 = nil )
| ( app(sk7,sk8) = nil )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_30474,c_325]) ).
tcf(c_30951,plain,
( ( sk8 = nil )
| ( hd(app(sk8,sk4)) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_6486,c_11903]) ).
tcf(c_30952,plain,
( ( sk8 = nil )
| ( hd(app(sk8,sk7)) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_6483,c_11903]) ).
tcf(c_30953,plain,
( ( sk8 = nil )
| ( hd(app(sk8,sk8)) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_6482,c_11903]) ).
tcf(c_30954,plain,
( ( sk8 = nil )
| ( hd(app(sk8,nil)) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_255,c_11903]) ).
tcf(c_30955,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf82(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_260,c_11903]) ).
tcf(c_30956,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf81(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_261,c_11903]) ).
tcf(c_30957,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf80(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_262,c_11903]) ).
tcf(c_30958,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf77(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_265,c_11903]) ).
tcf(c_30959,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf76(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_266,c_11903]) ).
tcf(c_30960,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf75(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_267,c_11903]) ).
tcf(c_30961,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf73(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_269,c_11903]) ).
tcf(c_30962,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf72(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_270,c_11903]) ).
tcf(c_30963,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf71(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_271,c_11903]) ).
tcf(c_30964,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf68(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_274,c_11903]) ).
tcf(c_30965,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf67(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_275,c_11903]) ).
tcf(c_30966,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf66(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_276,c_11903]) ).
tcf(c_30967,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf63(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_279,c_11903]) ).
tcf(c_30968,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf62(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_280,c_11903]) ).
tcf(c_30969,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf61(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_281,c_11903]) ).
tcf(c_30970,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf58(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_284,c_11903]) ).
tcf(c_30971,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf57(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_285,c_11903]) ).
tcf(c_30972,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf56(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_286,c_11903]) ).
tcf(c_30973,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf53(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_289,c_11903]) ).
tcf(c_30974,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf52(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_290,c_11903]) ).
tcf(c_30975,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf51(X0))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_291,c_11903]) ).
tcf(c_30976,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf48(X0,X1))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_295,c_11903]) ).
tcf(c_30977,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf47(X0,X1))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_296,c_11903]) ).
tcf(c_30978,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf46(X0,X1))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_297,c_11903]) ).
tcf(c_30979,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf45(X0,X1))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_298,c_11903]) ).
tcf(c_30980,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf43(X0,X1))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_299,c_11903]) ).
tcf(c_30981,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,skaf42(X0,X1))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_300,c_11903]) ).
tcf(c_30982,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( X0 = nil )
| ( hd(app(sk8,tl(X0))) = hd(sk8) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_11903]) ).
tcf(c_30983,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,app(X1,X0))) = hd(sk8) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_11903]) ).
tcf(c_30984,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( hd(app(sk8,cons(X1,X0))) = hd(sk8) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_11903]) ).
tcf(c_30985,plain,
( ( sk8 = nil )
| ( hd(app(sk8,iPr_def_16)) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_9020,c_11903]) ).
tcf(c_30986,plain,
( ( sk8 = nil )
| ( hd(app(sk8,iPr_def_13)) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_9527,c_11903]) ).
tcf(c_30987,plain,
( ( sk8 = nil )
| ( hd(app(sk8,iPr_def_12)) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_9489,c_11903]) ).
tcf(c_30988,plain,
( ( sk8 = nil )
| ( hd(app(sk8,iPr_def_15)) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_24748,c_11903]) ).
tcf(c_30989,plain,
( ( sk8 = nil )
| ( hd(app(sk8,iPr_def_14)) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_9488,c_11903]) ).
tcf(c_30990,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk6,sk4))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_28942,c_11903]) ).
tcf(c_30991,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk6,sk7))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_28940,c_11903]) ).
tcf(c_30992,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk6,sk8))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_28938,c_11903]) ).
tcf(c_31199,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sk8,sk4)))
| ( sk8 = nil )
| ( app(sk8,sk4) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sk8,sk4))
| ~ ssList(app(sk8,sk4))
| ~ lt(X0,hd(sk8)) ),
inference(superposition,[status(thm)],[c_30951,c_407]) ).
tcf(c_31200,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sk8,sk4)))
| ( sk8 = nil )
| ( app(sk8,sk4) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sk8,sk4))
| ~ ssList(app(sk8,sk4))
| ~ leq(X0,hd(sk8)) ),
inference(superposition,[status(thm)],[c_30951,c_406]) ).
tcf(c_31201,plain,
( ssItem(hd(sk8))
| ( sk8 = nil )
| ( app(sk8,sk4) = nil )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_30951,c_325]) ).
tcf(c_31226,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sk8,sk7)))
| ( sk8 = nil )
| ( app(sk8,sk7) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sk8,sk7))
| ~ ssList(app(sk8,sk7))
| ~ lt(X0,hd(sk8)) ),
inference(superposition,[status(thm)],[c_30952,c_407]) ).
tcf(c_31227,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sk8,sk7)))
| ( sk8 = nil )
| ( app(sk8,sk7) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sk8,sk7))
| ~ ssList(app(sk8,sk7))
| ~ leq(X0,hd(sk8)) ),
inference(superposition,[status(thm)],[c_30952,c_406]) ).
tcf(c_31228,plain,
( ssItem(hd(sk8))
| ( sk8 = nil )
| ( app(sk8,sk7) = nil )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_30952,c_325]) ).
tcf(c_31253,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sk8,sk8)))
| ( sk8 = nil )
| ( app(sk8,sk8) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sk8,sk8))
| ~ ssList(app(sk8,sk8))
| ~ lt(X0,hd(sk8)) ),
inference(superposition,[status(thm)],[c_30953,c_407]) ).
tcf(c_31254,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sk8,sk8)))
| ( sk8 = nil )
| ( app(sk8,sk8) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sk8,sk8))
| ~ ssList(app(sk8,sk8))
| ~ leq(X0,hd(sk8)) ),
inference(superposition,[status(thm)],[c_30953,c_406]) ).
tcf(c_31255,plain,
( ssItem(hd(sk8))
| ( sk8 = nil )
| ( app(sk8,sk8) = nil )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_30953,c_325]) ).
tcf(c_31285,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ( app(skaf42(skaf46(iPr_def_16,sk8),X0),cons(X0,skaf43(X0,skaf46(iPr_def_16,sk8)))) = skaf46(iPr_def_16,sk8) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0)
| ~ ssList(skaf46(iPr_def_16,sk8)) ),
inference(superposition,[status(thm)],[c_16842,c_416]) ).
tcf(c_31287,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ( app(skaf42(skaf46(iPr_def_16,sk8),X0),cons(X0,skaf43(X0,skaf46(iPr_def_16,sk8)))) = skaf46(iPr_def_16,sk8) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31285,c_297]) ).
tcf(c_31298,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf62(X0),X1),skaf62(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf62(X0))
| ~ ssList(app(app(nil,skaf62(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9213,c_420]) ).
tcf(c_31299,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ( app(X0,skaf62(X1)) != skaf62(X1) ) ),
inference(superposition,[status(thm)],[c_9213,c_398]) ).
tcf(c_31304,plain,
! [X0: $i] :
( frontsegP(skaf62(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf62(X0)) ),
inference(superposition,[status(thm)],[c_9213,c_808]) ).
tcf(c_31305,plain,
! [X0: $i] :
( rearsegP(skaf62(X0),skaf62(X0))
| ~ ssList(nil)
| ~ ssList(skaf62(X0)) ),
inference(superposition,[status(thm)],[c_9213,c_807]) ).
tcf(c_31308,plain,
! [X0: $i,X1: $i] :
( ( skaf62(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ( app(nil,X0) != skaf62(X1) ) ),
inference(superposition,[status(thm)],[c_9213,c_397]) ).
tcf(c_31310,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf62(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf62(X0)) ),
inference(superposition,[status(thm)],[c_9213,c_384]) ).
tcf(c_31311,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf62(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf62(X0))
| ~ segmentP(skaf62(X0),X1) ),
inference(superposition,[status(thm)],[c_9213,c_419]) ).
tcf(c_31312,plain,
! [X0: $i] : frontsegP(skaf62(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_31304,c_255,c_280]) ).
tcf(c_31313,plain,
! [X0: $i] : rearsegP(skaf62(X0),skaf62(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_31305,c_255,c_280]) ).
tcf(c_31314,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf62(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31310,c_255,c_280]) ).
tcf(c_31318,plain,
! [X0: $i,X1: $i] :
( ( skaf62(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf62(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31308,c_255,c_280]) ).
tcf(c_31322,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf62(X1)) != skaf62(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31299,c_255,c_280]) ).
tcf(c_31326,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf62(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf62(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31311,c_255,c_280]) ).
tcf(c_31331,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf62(X0),X1),skaf62(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf62(X0))
| ~ ssList(app(skaf62(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_31298,c_9213]) ).
tcf(c_31332,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf62(X0),X1),skaf62(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf62(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31331,c_255,c_280]) ).
tcf(c_31340,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf62(X1))
| ~ frontsegP(X0,skaf62(X1)) ),
inference(superposition,[status(thm)],[c_31312,c_401]) ).
tcf(c_31341,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf62(X0),nil)) = skaf62(X0) )
| ~ ssList(nil)
| ~ ssList(skaf62(X0)) ),
inference(superposition,[status(thm)],[c_31312,c_379]) ).
tcf(c_31342,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf62(X0))
| ~ frontsegP(nil,skaf62(X0)) ),
inference(superposition,[status(thm)],[c_31312,c_376]) ).
tcf(c_31343,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ~ frontsegP(nil,skaf62(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31342,c_255,c_280]) ).
tcf(c_31346,plain,
! [X0: $i] : app(nil,skaf45(skaf62(X0),nil)) = skaf62(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_31341,c_255,c_280]) ).
tcf(c_31351,plain,
! [X0: $i] :
( ( app(skaf46(skaf62(X0),skaf62(X0)),skaf62(X0)) = skaf62(X0) )
| ~ ssList(skaf62(X0)) ),
inference(superposition,[status(thm)],[c_31313,c_378]) ).
tcf(c_31353,plain,
! [X0: $i] : app(skaf46(skaf62(X0),skaf62(X0)),skaf62(X0)) = skaf62(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_31351,c_280]) ).
tcf(c_31357,plain,
! [X0: $i,X1: $i] :
( ( app(skaf47(X0,X1),skaf45(skaf47(X0,X1),skaf47(X0,X1))) = skaf47(X0,X1) )
| ~ ssList(skaf47(X0,X1)) ),
inference(superposition,[status(thm)],[c_19583,c_379]) ).
tcf(c_31359,plain,
! [X0: $i,X1: $i] : app(skaf47(X0,X1),skaf45(skaf47(X0,X1),skaf47(X0,X1))) = skaf47(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_31357,c_296]) ).
tcf(c_31403,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X2)
| ~ ssList(app(sk8,X1))
| ~ segmentP(X0,app(sk8,X1)) ),
inference(superposition,[status(thm)],[c_20285,c_399]) ).
tcf(c_31404,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf47(app(sk8,X0),X1),X1),skaf48(X1,app(sk8,X0))) = app(sk8,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X1)
| ~ ssList(app(sk8,X0)) ),
inference(superposition,[status(thm)],[c_20285,c_415]) ).
tcf(c_31405,plain,
! [X0: $i,X1: $i] :
( ( app(sk8,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk8,X1))
| ~ segmentP(X0,app(sk8,X1)) ),
inference(superposition,[status(thm)],[c_20285,c_374]) ).
tcf(c_31406,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk8,X0)) ),
inference(superposition,[status(thm)],[c_20285,c_27069]) ).
tcf(c_31409,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk8,X0)) ),
inference(superposition,[status(thm)],[c_20285,c_27109]) ).
tcf(c_31410,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk8,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31409,c_24748]) ).
tcf(c_31415,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk8,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31406,c_9527]) ).
tcf(c_31450,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(superposition,[status(thm)],[c_29639,c_20290]) ).
tcf(c_31455,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X2)
| ~ ssList(app(sk7,X1))
| ~ segmentP(X0,app(sk7,X1)) ),
inference(superposition,[status(thm)],[c_20290,c_399]) ).
tcf(c_31456,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf47(app(sk7,X0),X1),X1),skaf48(X1,app(sk7,X0))) = app(sk7,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X1)
| ~ ssList(app(sk7,X0)) ),
inference(superposition,[status(thm)],[c_20290,c_415]) ).
tcf(c_31457,plain,
! [X0: $i,X1: $i] :
( ( app(sk7,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk7,X1))
| ~ segmentP(X0,app(sk7,X1)) ),
inference(superposition,[status(thm)],[c_20290,c_374]) ).
tcf(c_31459,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk7,X0)) ),
inference(superposition,[status(thm)],[c_20290,c_28549]) ).
tcf(c_31460,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk7)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk7,X0)) ),
inference(superposition,[status(thm)],[c_20290,c_27097]) ).
tcf(c_31461,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk7)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk7,X0)) ),
inference(superposition,[status(thm)],[c_20290,c_27109]) ).
tcf(c_31463,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk7,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31461,c_24748]) ).
tcf(c_31468,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk7,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31460,c_9020]) ).
tcf(c_31473,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk7,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31459,c_9020]) ).
tcf(c_31509,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X2)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(sk4,X1)) ),
inference(superposition,[status(thm)],[c_20295,c_399]) ).
tcf(c_31510,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf47(app(sk4,X0),X1),X1),skaf48(X1,app(sk4,X0))) = app(sk4,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ ssList(app(sk4,X0)) ),
inference(superposition,[status(thm)],[c_20295,c_415]) ).
tcf(c_31511,plain,
! [X0: $i,X1: $i] :
( ( app(sk4,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(sk4,X1)) ),
inference(superposition,[status(thm)],[c_20295,c_374]) ).
tcf(c_31512,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk4,X0)) ),
inference(superposition,[status(thm)],[c_20295,c_27069]) ).
tcf(c_31513,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk4,X0)) ),
inference(superposition,[status(thm)],[c_20295,c_28549]) ).
tcf(c_31514,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk4,X0)) ),
inference(superposition,[status(thm)],[c_20295,c_27097]) ).
tcf(c_31515,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk4,X0)) ),
inference(superposition,[status(thm)],[c_20295,c_27109]) ).
tcf(c_31516,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31515,c_24748]) ).
tcf(c_31521,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31514,c_9020]) ).
tcf(c_31526,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31513,c_9020]) ).
tcf(c_31531,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31512,c_9527]) ).
tcf(c_31650,plain,
! [X0: $i] :
( segmentP(sk8,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_9103,c_20305]) ).
tcf(c_31651,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X2)
| ~ ssList(app(sk8,X1))
| ~ segmentP(X0,app(sk8,X1)) ),
inference(superposition,[status(thm)],[c_20305,c_399]) ).
tcf(c_31652,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf47(app(sk8,X0),X1),X1),skaf48(X1,app(sk8,X0))) = app(sk8,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X1)
| ~ ssList(app(sk8,X0)) ),
inference(superposition,[status(thm)],[c_20305,c_415]) ).
tcf(c_31653,plain,
! [X0: $i,X1: $i] :
( ( app(sk8,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(app(sk8,X1))
| ~ segmentP(X0,app(sk8,X1)) ),
inference(superposition,[status(thm)],[c_20305,c_374]) ).
tcf(c_31658,plain,
! [X0: $i] :
( segmentP(sk8,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31650,c_255]) ).
tcf(c_31691,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_29639,c_20310]) ).
tcf(c_31693,plain,
! [X0: $i] :
( segmentP(sk7,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_9102,c_20310]) ).
tcf(c_31694,plain,
! [X0: $i] :
( segmentP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(skaf45(iPr_def_15,sk7)) ),
inference(superposition,[status(thm)],[c_24730,c_20310]) ).
tcf(c_31695,plain,
! [X0: $i] :
( segmentP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(skaf45(iPr_def_16,sk7)) ),
inference(superposition,[status(thm)],[c_26335,c_20310]) ).
tcf(c_31696,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X2)
| ~ ssList(app(sk7,X1))
| ~ segmentP(X0,app(sk7,X1)) ),
inference(superposition,[status(thm)],[c_20310,c_399]) ).
tcf(c_31697,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf47(app(sk7,X0),X1),X1),skaf48(X1,app(sk7,X0))) = app(sk7,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X1)
| ~ ssList(app(sk7,X0)) ),
inference(superposition,[status(thm)],[c_20310,c_415]) ).
tcf(c_31698,plain,
! [X0: $i,X1: $i] :
( ( app(sk7,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(app(sk7,X1))
| ~ segmentP(X0,app(sk7,X1)) ),
inference(superposition,[status(thm)],[c_20310,c_374]) ).
tcf(c_31703,plain,
! [X0: $i] :
( segmentP(sk7,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31693,c_255]) ).
tcf(c_31707,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31691,c_9489]) ).
tcf(c_31711,plain,
! [X0: $i] :
( segmentP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31695,c_298]) ).
tcf(c_31715,plain,
! [X0: $i] :
( segmentP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31694,c_298]) ).
tcf(c_31748,plain,
! [X0: $i] :
( segmentP(sk4,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_9101,c_20315]) ).
tcf(c_31749,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X2)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(sk4,X1)) ),
inference(superposition,[status(thm)],[c_20315,c_399]) ).
tcf(c_31750,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf47(app(sk4,X0),X1),X1),skaf48(X1,app(sk4,X0))) = app(sk4,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X1)
| ~ ssList(app(sk4,X0)) ),
inference(superposition,[status(thm)],[c_20315,c_415]) ).
tcf(c_31751,plain,
! [X0: $i,X1: $i] :
( ( app(sk4,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(app(sk4,X1))
| ~ segmentP(X0,app(sk4,X1)) ),
inference(superposition,[status(thm)],[c_20315,c_374]) ).
tcf(c_31756,plain,
! [X0: $i] :
( segmentP(sk4,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31748,c_255]) ).
tcf(c_31789,plain,
! [X0: $i] :
( segmentP(iPr_def_15,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_6476,c_20331]) ).
tcf(c_31790,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_9531,c_20331]) ).
tcf(c_31791,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X2)
| ~ ssList(app(iPr_def_13,X1))
| ~ segmentP(X0,app(iPr_def_13,X1)) ),
inference(superposition,[status(thm)],[c_20331,c_399]) ).
tcf(c_31792,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf47(app(iPr_def_13,X0),X1),X1),skaf48(X1,app(iPr_def_13,X0))) = app(iPr_def_13,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X1)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_20331,c_415]) ).
tcf(c_31793,plain,
! [X0: $i,X1: $i] :
( ( app(iPr_def_13,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0)
| ~ ssList(app(iPr_def_13,X1))
| ~ segmentP(X0,app(iPr_def_13,X1)) ),
inference(superposition,[status(thm)],[c_20331,c_374]) ).
tcf(c_31794,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk7)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,iPr_def_13)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_20331,c_27069]) ).
tcf(c_31795,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk8)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,iPr_def_16)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_20331,c_28549]) ).
tcf(c_31796,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk7)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,iPr_def_16)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_20331,c_27097]) ).
tcf(c_31797,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk7)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,iPr_def_15)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_20331,c_27109]) ).
tcf(c_31798,plain,
! [X0: $i] :
( segmentP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31790,c_255]) ).
tcf(c_31802,plain,
! [X0: $i] :
( segmentP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31789,c_9488]) ).
tcf(c_31806,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk7)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,iPr_def_15)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31797,c_24748]) ).
tcf(c_31811,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk7)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,iPr_def_16)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31796,c_9020]) ).
tcf(c_31816,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk8)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,iPr_def_16)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31795,c_9020]) ).
tcf(c_31821,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk7)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,iPr_def_13)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31794,c_9527]) ).
tcf(c_31858,plain,
! [X0: $i] :
( segmentP(iPr_def_16,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(superposition,[status(thm)],[c_9132,c_20339]) ).
tcf(c_31859,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X2)
| ~ ssList(app(iPr_def_16,X1))
| ~ segmentP(X0,app(iPr_def_16,X1)) ),
inference(superposition,[status(thm)],[c_20339,c_399]) ).
tcf(c_31860,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf47(app(iPr_def_16,X0),X1),X1),skaf48(X1,app(iPr_def_16,X0))) = app(iPr_def_16,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X1)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_20339,c_415]) ).
tcf(c_31861,plain,
! [X0: $i,X1: $i] :
( ( app(iPr_def_16,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(iPr_def_16,X1))
| ~ segmentP(X0,app(iPr_def_16,X1)) ),
inference(superposition,[status(thm)],[c_20339,c_374]) ).
tcf(c_31862,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk7)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_20339,c_27069]) ).
tcf(c_31865,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk7)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_20339,c_27109]) ).
tcf(c_31867,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31865,c_24748]) ).
tcf(c_31872,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31862,c_9527]) ).
tcf(c_31904,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf61(X0),X1),skaf61(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf61(X0))
| ~ ssList(app(app(nil,skaf61(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9214,c_420]) ).
tcf(c_31905,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ( app(X0,skaf61(X1)) != skaf61(X1) ) ),
inference(superposition,[status(thm)],[c_9214,c_398]) ).
tcf(c_31910,plain,
! [X0: $i] :
( frontsegP(skaf61(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf61(X0)) ),
inference(superposition,[status(thm)],[c_9214,c_808]) ).
tcf(c_31911,plain,
! [X0: $i] :
( rearsegP(skaf61(X0),skaf61(X0))
| ~ ssList(nil)
| ~ ssList(skaf61(X0)) ),
inference(superposition,[status(thm)],[c_9214,c_807]) ).
tcf(c_31914,plain,
! [X0: $i,X1: $i] :
( ( skaf61(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ( app(nil,X0) != skaf61(X1) ) ),
inference(superposition,[status(thm)],[c_9214,c_397]) ).
tcf(c_31916,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf61(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf61(X0)) ),
inference(superposition,[status(thm)],[c_9214,c_384]) ).
tcf(c_31917,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf61(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf61(X0))
| ~ segmentP(skaf61(X0),X1) ),
inference(superposition,[status(thm)],[c_9214,c_419]) ).
tcf(c_31918,plain,
! [X0: $i] : frontsegP(skaf61(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_31910,c_255,c_281]) ).
tcf(c_31919,plain,
! [X0: $i] : rearsegP(skaf61(X0),skaf61(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_31911,c_255,c_281]) ).
tcf(c_31920,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf61(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31916,c_255,c_281]) ).
tcf(c_31924,plain,
! [X0: $i,X1: $i] :
( ( skaf61(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf61(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31914,c_255,c_281]) ).
tcf(c_31928,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf61(X1)) != skaf61(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31905,c_255,c_281]) ).
tcf(c_31932,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf61(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf61(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31917,c_255,c_281]) ).
tcf(c_31937,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf61(X0),X1),skaf61(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf61(X0))
| ~ ssList(app(skaf61(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_31904,c_9214]) ).
tcf(c_31938,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf61(X0),X1),skaf61(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf61(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31937,c_255,c_281]) ).
tcf(c_31949,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf61(X1))
| ~ frontsegP(X0,skaf61(X1)) ),
inference(superposition,[status(thm)],[c_31918,c_401]) ).
tcf(c_31950,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf61(X0),nil)) = skaf61(X0) )
| ~ ssList(nil)
| ~ ssList(skaf61(X0)) ),
inference(superposition,[status(thm)],[c_31918,c_379]) ).
tcf(c_31951,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf61(X0))
| ~ frontsegP(nil,skaf61(X0)) ),
inference(superposition,[status(thm)],[c_31918,c_376]) ).
tcf(c_31952,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ~ frontsegP(nil,skaf61(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31951,c_255,c_281]) ).
tcf(c_31955,plain,
! [X0: $i] : app(nil,skaf45(skaf61(X0),nil)) = skaf61(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_31950,c_255,c_281]) ).
tcf(c_31970,plain,
! [X0: $i] :
( ( app(skaf46(skaf61(X0),skaf61(X0)),skaf61(X0)) = skaf61(X0) )
| ~ ssList(skaf61(X0)) ),
inference(superposition,[status(thm)],[c_31919,c_378]) ).
tcf(c_31972,plain,
! [X0: $i] : app(skaf46(skaf61(X0),skaf61(X0)),skaf61(X0)) = skaf61(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_31970,c_281]) ).
tcf(c_31987,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(X0,X1),skaf45(skaf46(X0,X1),skaf46(X0,X1))) = skaf46(X0,X1) )
| ~ ssList(skaf46(X0,X1)) ),
inference(superposition,[status(thm)],[c_20160,c_379]) ).
tcf(c_31990,plain,
! [X0: $i,X1: $i] : app(skaf46(X0,X1),skaf45(skaf46(X0,X1),skaf46(X0,X1))) = skaf46(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_31987,c_297]) ).
tcf(c_32007,plain,
! [X0: $i,X1: $i] :
( ( app(skaf45(X0,X1),skaf45(skaf45(X0,X1),skaf45(X0,X1))) = skaf45(X0,X1) )
| ~ ssList(skaf45(X0,X1)) ),
inference(superposition,[status(thm)],[c_21507,c_379]) ).
tcf(c_32009,plain,
! [X0: $i,X1: $i] : app(skaf45(X0,X1),skaf45(skaf45(X0,X1),skaf45(X0,X1))) = skaf45(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_32007,c_298]) ).
tcf(c_32013,plain,
! [X0: $i,X1: $i] :
( ( app(skaf43(X0,X1),skaf45(skaf43(X0,X1),skaf43(X0,X1))) = skaf43(X0,X1) )
| ~ ssList(skaf43(X0,X1)) ),
inference(superposition,[status(thm)],[c_22260,c_379]) ).
tcf(c_32015,plain,
! [X0: $i,X1: $i] : app(skaf43(X0,X1),skaf45(skaf43(X0,X1),skaf43(X0,X1))) = skaf43(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_32013,c_299]) ).
tcf(c_32018,plain,
! [X0: $i,X1: $i] :
( ( app(skaf42(X0,X1),skaf45(skaf42(X0,X1),skaf42(X0,X1))) = skaf42(X0,X1) )
| ~ ssList(skaf42(X0,X1)) ),
inference(superposition,[status(thm)],[c_23432,c_379]) ).
tcf(c_32020,plain,
! [X0: $i,X1: $i] : app(skaf42(X0,X1),skaf45(skaf42(X0,X1),skaf42(X0,X1))) = skaf42(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_32018,c_300]) ).
tcf(c_32030,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ leq(X1,skaf44(iPr_def_14))
| ~ leq(skaf44(iPr_def_14),X1)
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(skaf44(iPr_def_14),nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24646,c_432]) ).
tcf(c_32031,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_14))
| leq(skaf44(iPr_def_14),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(skaf44(iPr_def_14),nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24646,c_431]) ).
tcf(c_32032,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_14))
| lt(skaf44(iPr_def_14),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(skaf44(iPr_def_14),nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24646,c_430]) ).
tcf(c_32033,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf44(iPr_def_14),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(skaf44(iPr_def_14),nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24646,c_429]) ).
tcf(c_32034,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf44(iPr_def_14),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(skaf44(iPr_def_14),nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24646,c_428]) ).
tcf(c_32035,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ ssList(app(app(X0,iPr_def_14),cons(skaf44(iPr_def_14),X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf44(iPr_def_14),nil)),cons(skaf44(iPr_def_14),X1))) ),
inference(superposition,[status(thm)],[c_24646,c_426]) ).
tcf(c_32036,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_14),skaf44(iPr_def_14))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ ssList(app(X0,cons(skaf44(iPr_def_14),nil))) ),
inference(superposition,[status(thm)],[c_24646,c_422]) ).
tcf(c_32037,plain,
( memberP(iPr_def_14,skaf44(iPr_def_14))
| ~ ssList(nil)
| ~ ssItem(skaf44(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_24646,c_385]) ).
tcf(c_32041,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_14) = X0 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf44(iPr_def_14))
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_24646,c_423]) ).
tcf(c_32042,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf44(iPr_def_14))
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_24646,c_421]) ).
tcf(c_32043,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( skaf44(iPr_def_14) = X0 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ memberP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_24646,c_408]) ).
tcf(c_32050,plain,
! [X0: $i] :
( frontsegP(cons(skaf44(iPr_def_14),X0),iPr_def_14)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_24646,c_425]) ).
tcf(c_32051,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_14) = X1 )
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ ssList(app(X0,cons(X1,iPr_def_14)))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf44(iPr_def_14),nil)))) ),
inference(superposition,[status(thm)],[c_24646,c_427]) ).
tcf(c_32052,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf44(iPr_def_14))
| ( cons(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24646,c_418]) ).
tcf(c_32053,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_14) = X0 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf44(iPr_def_14))
| ( cons(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24646,c_417]) ).
tcf(c_32054,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_14) = X0 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf44(iPr_def_14))
| ~ frontsegP(cons(X0,X1),iPr_def_14) ),
inference(superposition,[status(thm)],[c_24646,c_423]) ).
tcf(c_32055,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,nil)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf44(iPr_def_14))
| ~ frontsegP(cons(X0,X1),iPr_def_14) ),
inference(superposition,[status(thm)],[c_24646,c_421]) ).
tcf(c_32056,plain,
! [X0: $i] :
( frontsegP(iPr_def_14,cons(skaf44(iPr_def_14),X0))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_24646,c_425]) ).
tcf(c_32057,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_24646,c_386]) ).
tcf(c_32058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ leq(X1,skaf44(iPr_def_14))
| ~ leq(skaf44(iPr_def_14),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf44(iPr_def_14),nil))) ),
inference(superposition,[status(thm)],[c_24646,c_432]) ).
tcf(c_32059,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_14))
| leq(skaf44(iPr_def_14),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf44(iPr_def_14),nil))) ),
inference(superposition,[status(thm)],[c_24646,c_431]) ).
tcf(c_32060,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_14))
| lt(skaf44(iPr_def_14),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf44(iPr_def_14),nil))) ),
inference(superposition,[status(thm)],[c_24646,c_430]) ).
tcf(c_32061,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_14))
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf44(iPr_def_14),nil))) ),
inference(superposition,[status(thm)],[c_24646,c_429]) ).
tcf(c_32062,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_14))
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf44(iPr_def_14),nil))) ),
inference(superposition,[status(thm)],[c_24646,c_428]) ).
tcf(c_32063,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ ssList(app(app(X0,cons(skaf44(iPr_def_14),X1)),iPr_def_14))
| ~ duplicatefreeP(app(app(X0,cons(skaf44(iPr_def_14),X1)),cons(skaf44(iPr_def_14),nil))) ),
inference(superposition,[status(thm)],[c_24646,c_426]) ).
tcf(c_32064,plain,
memberP(iPr_def_14,skaf44(iPr_def_14)),
inference(forward_subsumption_resolution,[status(thm)],[c_32037,c_255,c_294]) ).
tcf(c_32066,plain,
! [X0: $i] :
( frontsegP(iPr_def_14,cons(skaf44(iPr_def_14),X0))
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32056,c_255,c_294]) ).
tcf(c_32070,plain,
! [X0: $i] :
( frontsegP(cons(skaf44(iPr_def_14),X0),iPr_def_14)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32050,c_255,c_294]) ).
tcf(c_32075,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( skaf44(iPr_def_14) = X0 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32043,c_255,c_294]) ).
tcf(c_32081,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_14) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32054,c_255,c_294]) ).
tcf(c_32087,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_14) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32041,c_255,c_294]) ).
tcf(c_32092,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_14),skaf44(iPr_def_14))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ ssList(app(X0,iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_32036,c_24646]) ).
tcf(c_32093,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_14),skaf44(iPr_def_14))
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32092,c_255,c_294]) ).
tcf(c_32097,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_14) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32053,c_255,c_294]) ).
tcf(c_32102,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_14) = X1 )
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_14)))
| ~ ssList(app(X0,cons(X1,iPr_def_14))) ),
inference(light_normalisation,[status(thm)],[c_32051,c_24646]) ).
tcf(c_32103,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_14) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ equalelemsP(app(X0,cons(X1,iPr_def_14)))
| ~ ssList(app(X0,cons(X1,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32102,c_255,c_294]) ).
tcf(c_32109,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ duplicatefreeP(app(app(X0,cons(skaf44(iPr_def_14),X1)),iPr_def_14))
| ~ ssList(app(app(X0,cons(skaf44(iPr_def_14),X1)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_32063,c_24646]) ).
tcf(c_32110,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(skaf44(iPr_def_14),X1)),iPr_def_14))
| ~ ssList(app(app(X0,cons(skaf44(iPr_def_14),X1)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32109,c_255,c_294]) ).
tcf(c_32115,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ duplicatefreeP(app(app(X0,iPr_def_14),cons(skaf44(iPr_def_14),X1)))
| ~ ssList(app(app(X0,iPr_def_14),cons(skaf44(iPr_def_14),X1))) ),
inference(light_normalisation,[status(thm)],[c_32035,c_24646]) ).
tcf(c_32116,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_14),cons(skaf44(iPr_def_14),X1)))
| ~ ssList(app(app(X0,iPr_def_14),cons(skaf44(iPr_def_14),X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32115,c_255,c_294]) ).
tcf(c_32121,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_14))
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_32062,c_24646]) ).
tcf(c_32122,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_14))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32121,c_255,c_294]) ).
tcf(c_32129,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_14))
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_32061,c_24646]) ).
tcf(c_32130,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_14))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32129,c_255,c_294]) ).
tcf(c_32137,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf44(iPr_def_14),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ strictorderedP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_32034,c_24646]) ).
tcf(c_32138,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf44(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32137,c_255,c_294]) ).
tcf(c_32145,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf44(iPr_def_14),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ totalorderedP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_32033,c_24646]) ).
tcf(c_32146,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf44(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32145,c_255,c_294]) ).
tcf(c_32153,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_14))
| lt(skaf44(iPr_def_14),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ strictorderP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_32060,c_24646]) ).
tcf(c_32154,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_14))
| lt(skaf44(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32153,c_255,c_294]) ).
tcf(c_32162,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_14))
| leq(skaf44(iPr_def_14),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ totalorderP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_32059,c_24646]) ).
tcf(c_32163,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_14))
| leq(skaf44(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32162,c_255,c_294]) ).
tcf(c_32171,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_14))
| lt(skaf44(iPr_def_14),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ strictorderP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_32032,c_24646]) ).
tcf(c_32172,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_14))
| lt(skaf44(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32171,c_255,c_294]) ).
tcf(c_32180,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_14))
| leq(skaf44(iPr_def_14),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ totalorderP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_32031,c_24646]) ).
tcf(c_32181,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_14))
| leq(skaf44(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32180,c_255,c_294]) ).
tcf(c_32189,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ leq(X1,skaf44(iPr_def_14))
| ~ leq(skaf44(iPr_def_14),X1)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_32058,c_24646]) ).
tcf(c_32190,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf44(iPr_def_14))
| ~ leq(skaf44(iPr_def_14),X1)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32189,c_255,c_294]) ).
tcf(c_32198,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_14))
| ~ leq(X1,skaf44(iPr_def_14))
| ~ leq(skaf44(iPr_def_14),X1)
| ~ cyclefreeP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_32030,c_24646]) ).
tcf(c_32199,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf44(iPr_def_14))
| ~ leq(skaf44(iPr_def_14),X1)
| ~ cyclefreeP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32198,c_255,c_294]) ).
tcf(c_32304,plain,
( frontsegP(nil,tl(sk4))
| ( sk4 = nil )
| ~ frontsegP(iPr_def_14,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_10766,c_21197]) ).
tcf(c_32305,plain,
( frontsegP(nil,tl(sk7))
| ( sk7 = nil )
| ~ frontsegP(iPr_def_14,sk7)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7)) ),
inference(superposition,[status(thm)],[c_10767,c_21197]) ).
tcf(c_32306,plain,
( frontsegP(nil,tl(sk8))
| ( sk8 = nil )
| ~ frontsegP(iPr_def_14,sk8)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8)) ),
inference(superposition,[status(thm)],[c_10768,c_21197]) ).
tcf(c_32307,plain,
( frontsegP(nil,skaf82(sk4))
| ( sk4 = nil )
| ~ frontsegP(iPr_def_14,sk4)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4)) ),
inference(superposition,[status(thm)],[c_10982,c_21197]) ).
tcf(c_32308,plain,
( frontsegP(nil,skaf82(sk7))
| ( sk7 = nil )
| ~ frontsegP(iPr_def_14,sk7)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7)) ),
inference(superposition,[status(thm)],[c_10983,c_21197]) ).
tcf(c_32309,plain,
( frontsegP(nil,skaf82(sk8))
| ( sk8 = nil )
| ~ frontsegP(iPr_def_14,sk8)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8)) ),
inference(superposition,[status(thm)],[c_10984,c_21197]) ).
tcf(c_32311,plain,
( frontsegP(nil,skaf82(sk8))
| ( sk8 = nil )
| ~ frontsegP(iPr_def_14,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32309,c_259,c_260]) ).
tcf(c_32315,plain,
( frontsegP(nil,skaf82(sk7))
| ( sk7 = nil )
| ~ frontsegP(iPr_def_14,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32308,c_259,c_260]) ).
tcf(c_32319,plain,
( frontsegP(nil,skaf82(sk4))
| ( sk4 = nil )
| ~ frontsegP(iPr_def_14,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32307,c_259,c_260]) ).
tcf(c_32422,plain,
( frontsegP(nil,tl(sk4))
| ( sk4 = nil )
| ~ frontsegP(iPr_def_12,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_10766,c_21202]) ).
tcf(c_32423,plain,
( frontsegP(nil,tl(sk7))
| ( sk7 = nil )
| ~ frontsegP(iPr_def_12,sk7)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7)) ),
inference(superposition,[status(thm)],[c_10767,c_21202]) ).
tcf(c_32424,plain,
( frontsegP(nil,tl(sk8))
| ( sk8 = nil )
| ~ frontsegP(iPr_def_12,sk8)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8)) ),
inference(superposition,[status(thm)],[c_10768,c_21202]) ).
tcf(c_32425,plain,
( frontsegP(nil,skaf82(sk4))
| ( sk4 = nil )
| ~ frontsegP(iPr_def_12,sk4)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4)) ),
inference(superposition,[status(thm)],[c_10982,c_21202]) ).
tcf(c_32426,plain,
( frontsegP(nil,skaf82(sk7))
| ( sk7 = nil )
| ~ frontsegP(iPr_def_12,sk7)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7)) ),
inference(superposition,[status(thm)],[c_10983,c_21202]) ).
tcf(c_32427,plain,
( frontsegP(nil,skaf82(sk8))
| ( sk8 = nil )
| ~ frontsegP(iPr_def_12,sk8)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8)) ),
inference(superposition,[status(thm)],[c_10984,c_21202]) ).
tcf(c_32429,plain,
( frontsegP(nil,skaf82(sk8))
| ( sk8 = nil )
| ~ frontsegP(iPr_def_12,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32427,c_259,c_260]) ).
tcf(c_32433,plain,
( frontsegP(nil,skaf82(sk7))
| ( sk7 = nil )
| ~ frontsegP(iPr_def_12,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32426,c_259,c_260]) ).
tcf(c_32437,plain,
( frontsegP(nil,skaf82(sk4))
| ( sk4 = nil )
| ~ frontsegP(iPr_def_12,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32425,c_259,c_260]) ).
tcf(c_32456,plain,
( ( skaf46(cons(sk6,sk4),sk4) = nil )
| ( cons(sk6,sk4) != nil ) ),
inference(light_normalisation,[status(thm)],[c_22110,c_28897]) ).
tcf(c_32463,plain,
( ( skaf46(cons(sk6,sk7),sk7) = nil )
| ( cons(sk6,sk7) != nil ) ),
inference(light_normalisation,[status(thm)],[c_23152,c_28897]) ).
tcf(c_32470,plain,
( ( skaf46(cons(sk6,sk8),sk8) = nil )
| ( cons(sk6,sk8) != nil ) ),
inference(light_normalisation,[status(thm)],[c_24492,c_28897]) ).
tcf(c_32482,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf58(X0),X1),skaf58(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf58(X0))
| ~ ssList(app(app(nil,skaf58(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9215,c_420]) ).
tcf(c_32483,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ( app(X0,skaf58(X1)) != skaf58(X1) ) ),
inference(superposition,[status(thm)],[c_9215,c_398]) ).
tcf(c_32488,plain,
! [X0: $i] :
( frontsegP(skaf58(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf58(X0)) ),
inference(superposition,[status(thm)],[c_9215,c_808]) ).
tcf(c_32489,plain,
! [X0: $i] :
( rearsegP(skaf58(X0),skaf58(X0))
| ~ ssList(nil)
| ~ ssList(skaf58(X0)) ),
inference(superposition,[status(thm)],[c_9215,c_807]) ).
tcf(c_32492,plain,
! [X0: $i,X1: $i] :
( ( skaf58(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ( app(nil,X0) != skaf58(X1) ) ),
inference(superposition,[status(thm)],[c_9215,c_397]) ).
tcf(c_32494,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf58(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf58(X0)) ),
inference(superposition,[status(thm)],[c_9215,c_384]) ).
tcf(c_32495,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf58(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf58(X0))
| ~ segmentP(skaf58(X0),X1) ),
inference(superposition,[status(thm)],[c_9215,c_419]) ).
tcf(c_32496,plain,
! [X0: $i] : frontsegP(skaf58(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_32488,c_255,c_284]) ).
tcf(c_32497,plain,
! [X0: $i] : rearsegP(skaf58(X0),skaf58(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_32489,c_255,c_284]) ).
tcf(c_32498,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf58(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32494,c_255,c_284]) ).
tcf(c_32502,plain,
! [X0: $i,X1: $i] :
( ( skaf58(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf58(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32492,c_255,c_284]) ).
tcf(c_32506,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf58(X1)) != skaf58(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32483,c_255,c_284]) ).
tcf(c_32510,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf58(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf58(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32495,c_255,c_284]) ).
tcf(c_32515,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf58(X0),X1),skaf58(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf58(X0))
| ~ ssList(app(skaf58(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_32482,c_9215]) ).
tcf(c_32516,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf58(X0),X1),skaf58(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf58(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32515,c_255,c_284]) ).
tcf(c_32524,plain,
( ( app(skaf42(iPr_def_14,skaf44(iPr_def_14)),cons(skaf44(iPr_def_14),skaf43(skaf44(iPr_def_14),iPr_def_14))) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssItem(skaf44(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_32064,c_416]) ).
tcf(c_32525,plain,
( ( skaf44(iPr_def_14) = sk6 )
| ~ ssItem(skaf44(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_32064,c_30020]) ).
tcf(c_32526,plain,
skaf44(iPr_def_14) = sk6,
inference(forward_subsumption_resolution,[status(thm)],[c_32525,c_294]) ).
tcf(c_32527,plain,
app(skaf42(iPr_def_14,skaf44(iPr_def_14)),cons(skaf44(iPr_def_14),skaf43(skaf44(iPr_def_14),iPr_def_14))) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_32524,c_9488,c_294]) ).
tcf(c_32529,plain,
cons(sk6,nil) = iPr_def_14,
inference(demodulation,[status(thm)],[c_24646,c_32526]) ).
tcf(c_32530,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf58(X1))
| ~ frontsegP(X0,skaf58(X1)) ),
inference(superposition,[status(thm)],[c_32496,c_401]) ).
tcf(c_32531,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf58(X0),nil)) = skaf58(X0) )
| ~ ssList(nil)
| ~ ssList(skaf58(X0)) ),
inference(superposition,[status(thm)],[c_32496,c_379]) ).
tcf(c_32532,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf58(X0))
| ~ frontsegP(nil,skaf58(X0)) ),
inference(superposition,[status(thm)],[c_32496,c_376]) ).
tcf(c_32533,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ~ frontsegP(nil,skaf58(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32532,c_255,c_284]) ).
tcf(c_32536,plain,
! [X0: $i] : app(nil,skaf45(skaf58(X0),nil)) = skaf58(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_32531,c_255,c_284]) ).
tcf(c_32585,plain,
! [X0: $i] :
( ( app(skaf46(skaf58(X0),skaf58(X0)),skaf58(X0)) = skaf58(X0) )
| ~ ssList(skaf58(X0)) ),
inference(superposition,[status(thm)],[c_32497,c_378]) ).
tcf(c_32587,plain,
! [X0: $i] : app(skaf46(skaf58(X0),skaf58(X0)),skaf58(X0)) = skaf58(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_32585,c_284]) ).
tcf(c_32620,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ leq(X1,skaf44(iPr_def_12))
| ~ leq(skaf44(iPr_def_12),X1)
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(skaf44(iPr_def_12),nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24648,c_432]) ).
tcf(c_32621,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_12))
| leq(skaf44(iPr_def_12),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(skaf44(iPr_def_12),nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24648,c_431]) ).
tcf(c_32622,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_12))
| lt(skaf44(iPr_def_12),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(skaf44(iPr_def_12),nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24648,c_430]) ).
tcf(c_32623,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf44(iPr_def_12),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(skaf44(iPr_def_12),nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24648,c_429]) ).
tcf(c_32624,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf44(iPr_def_12),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(skaf44(iPr_def_12),nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24648,c_428]) ).
tcf(c_32625,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ ssList(app(app(X0,iPr_def_12),cons(skaf44(iPr_def_12),X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf44(iPr_def_12),nil)),cons(skaf44(iPr_def_12),X1))) ),
inference(superposition,[status(thm)],[c_24648,c_426]) ).
tcf(c_32626,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_12),skaf44(iPr_def_12))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ ssList(app(X0,cons(skaf44(iPr_def_12),nil))) ),
inference(superposition,[status(thm)],[c_24648,c_422]) ).
tcf(c_32627,plain,
( memberP(iPr_def_12,skaf44(iPr_def_12))
| ~ ssList(nil)
| ~ ssItem(skaf44(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_24648,c_385]) ).
tcf(c_32633,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_12) = X0 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf44(iPr_def_12))
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_24648,c_423]) ).
tcf(c_32634,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf44(iPr_def_12))
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_24648,c_421]) ).
tcf(c_32635,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( skaf44(iPr_def_12) = X0 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_24648,c_408]) ).
tcf(c_32642,plain,
! [X0: $i] :
( frontsegP(cons(skaf44(iPr_def_12),X0),iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_24648,c_425]) ).
tcf(c_32643,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_12) = X1 )
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ ssList(app(X0,cons(X1,iPr_def_12)))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf44(iPr_def_12),nil)))) ),
inference(superposition,[status(thm)],[c_24648,c_427]) ).
tcf(c_32644,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf44(iPr_def_12))
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_24648,c_418]) ).
tcf(c_32645,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_12) = X0 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf44(iPr_def_12))
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_24648,c_417]) ).
tcf(c_32646,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_12) = X0 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf44(iPr_def_12))
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(superposition,[status(thm)],[c_24648,c_423]) ).
tcf(c_32647,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,nil)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf44(iPr_def_12))
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(superposition,[status(thm)],[c_24648,c_421]) ).
tcf(c_32648,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,cons(skaf44(iPr_def_12),X0))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_24648,c_425]) ).
tcf(c_32649,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_24648,c_386]) ).
tcf(c_32650,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ leq(X1,skaf44(iPr_def_12))
| ~ leq(skaf44(iPr_def_12),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf44(iPr_def_12),nil))) ),
inference(superposition,[status(thm)],[c_24648,c_432]) ).
tcf(c_32651,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_12))
| leq(skaf44(iPr_def_12),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf44(iPr_def_12),nil))) ),
inference(superposition,[status(thm)],[c_24648,c_431]) ).
tcf(c_32652,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_12))
| lt(skaf44(iPr_def_12),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf44(iPr_def_12),nil))) ),
inference(superposition,[status(thm)],[c_24648,c_430]) ).
tcf(c_32653,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_12))
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf44(iPr_def_12),nil))) ),
inference(superposition,[status(thm)],[c_24648,c_429]) ).
tcf(c_32654,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_12))
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf44(iPr_def_12),nil))) ),
inference(superposition,[status(thm)],[c_24648,c_428]) ).
tcf(c_32655,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ ssList(app(app(X0,cons(skaf44(iPr_def_12),X1)),iPr_def_12))
| ~ duplicatefreeP(app(app(X0,cons(skaf44(iPr_def_12),X1)),cons(skaf44(iPr_def_12),nil))) ),
inference(superposition,[status(thm)],[c_24648,c_426]) ).
tcf(c_32656,plain,
memberP(iPr_def_12,skaf44(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_32627,c_255,c_294]) ).
tcf(c_32658,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,cons(skaf44(iPr_def_12),X0))
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32648,c_255,c_294]) ).
tcf(c_32662,plain,
! [X0: $i] :
( frontsegP(cons(skaf44(iPr_def_12),X0),iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32642,c_255,c_294]) ).
tcf(c_32667,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( skaf44(iPr_def_12) = X0 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32635,c_255,c_294]) ).
tcf(c_32673,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_12) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32646,c_255,c_294]) ).
tcf(c_32679,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_12) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32633,c_255,c_294]) ).
tcf(c_32684,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_12),skaf44(iPr_def_12))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ ssList(app(X0,iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_32626,c_24648]) ).
tcf(c_32685,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_12),skaf44(iPr_def_12))
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32684,c_255,c_294]) ).
tcf(c_32689,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_12) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32645,c_255,c_294]) ).
tcf(c_32694,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_12) = X1 )
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_12)))
| ~ ssList(app(X0,cons(X1,iPr_def_12))) ),
inference(light_normalisation,[status(thm)],[c_32643,c_24648]) ).
tcf(c_32695,plain,
! [X0: $i,X1: $i] :
( ( skaf44(iPr_def_12) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ equalelemsP(app(X0,cons(X1,iPr_def_12)))
| ~ ssList(app(X0,cons(X1,iPr_def_12))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32694,c_255,c_294]) ).
tcf(c_32701,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ duplicatefreeP(app(app(X0,cons(skaf44(iPr_def_12),X1)),iPr_def_12))
| ~ ssList(app(app(X0,cons(skaf44(iPr_def_12),X1)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_32655,c_24648]) ).
tcf(c_32702,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(skaf44(iPr_def_12),X1)),iPr_def_12))
| ~ ssList(app(app(X0,cons(skaf44(iPr_def_12),X1)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32701,c_255,c_294]) ).
tcf(c_32707,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ duplicatefreeP(app(app(X0,iPr_def_12),cons(skaf44(iPr_def_12),X1)))
| ~ ssList(app(app(X0,iPr_def_12),cons(skaf44(iPr_def_12),X1))) ),
inference(light_normalisation,[status(thm)],[c_32625,c_24648]) ).
tcf(c_32708,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_12),cons(skaf44(iPr_def_12),X1)))
| ~ ssList(app(app(X0,iPr_def_12),cons(skaf44(iPr_def_12),X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32707,c_255,c_294]) ).
tcf(c_32713,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_12))
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_32654,c_24648]) ).
tcf(c_32714,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_12))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32713,c_255,c_294]) ).
tcf(c_32721,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_12))
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_32653,c_24648]) ).
tcf(c_32722,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_12))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32721,c_255,c_294]) ).
tcf(c_32729,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf44(iPr_def_12),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ strictorderedP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_32624,c_24648]) ).
tcf(c_32730,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf44(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32729,c_255,c_294]) ).
tcf(c_32737,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf44(iPr_def_12),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ totalorderedP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_32623,c_24648]) ).
tcf(c_32738,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf44(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32737,c_255,c_294]) ).
tcf(c_32745,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_12))
| lt(skaf44(iPr_def_12),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ strictorderP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_32652,c_24648]) ).
tcf(c_32746,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_12))
| lt(skaf44(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32745,c_255,c_294]) ).
tcf(c_32754,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_12))
| leq(skaf44(iPr_def_12),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ totalorderP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_32651,c_24648]) ).
tcf(c_32755,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_12))
| leq(skaf44(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32754,c_255,c_294]) ).
tcf(c_32763,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_12))
| lt(skaf44(iPr_def_12),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ strictorderP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_32622,c_24648]) ).
tcf(c_32764,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf44(iPr_def_12))
| lt(skaf44(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32763,c_255,c_294]) ).
tcf(c_32772,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_12))
| leq(skaf44(iPr_def_12),X1)
| ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ totalorderP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_32621,c_24648]) ).
tcf(c_32773,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf44(iPr_def_12))
| leq(skaf44(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32772,c_255,c_294]) ).
tcf(c_32781,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ leq(X1,skaf44(iPr_def_12))
| ~ leq(skaf44(iPr_def_12),X1)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_32650,c_24648]) ).
tcf(c_32782,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf44(iPr_def_12))
| ~ leq(skaf44(iPr_def_12),X1)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32781,c_255,c_294]) ).
tcf(c_32790,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf44(iPr_def_12))
| ~ leq(X1,skaf44(iPr_def_12))
| ~ leq(skaf44(iPr_def_12),X1)
| ~ cyclefreeP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_32620,c_24648]) ).
tcf(c_32791,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf44(iPr_def_12))
| ~ leq(skaf44(iPr_def_12),X1)
| ~ cyclefreeP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32790,c_255,c_294]) ).
tcf(c_32882,plain,
( ( app(skaf42(iPr_def_12,skaf44(iPr_def_12)),cons(skaf44(iPr_def_12),skaf43(skaf44(iPr_def_12),iPr_def_12))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssItem(skaf44(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_32656,c_416]) ).
tcf(c_32883,plain,
( ( skaf44(iPr_def_12) = sk5 )
| ~ ssItem(skaf44(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_32656,c_30116]) ).
tcf(c_32884,plain,
( memberP(iPr_def_13,skaf44(iPr_def_12))
| ~ ssItem(skaf44(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_32656,c_13933]) ).
tcf(c_32885,plain,
memberP(iPr_def_13,skaf44(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_32884,c_294]) ).
tcf(c_32886,plain,
skaf44(iPr_def_12) = sk5,
inference(forward_subsumption_resolution,[status(thm)],[c_32883,c_294]) ).
tcf(c_32887,plain,
app(skaf42(iPr_def_12,skaf44(iPr_def_12)),cons(skaf44(iPr_def_12),skaf43(skaf44(iPr_def_12),iPr_def_12))) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_32882,c_9489,c_294]) ).
tcf(c_32889,plain,
cons(sk5,nil) = iPr_def_12,
inference(demodulation,[status(thm)],[c_24648,c_32886]) ).
tcf(c_32907,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ( app(skaf42(skaf45(iPr_def_15,sk7),X0),cons(X0,skaf43(X0,skaf45(iPr_def_15,sk7)))) = skaf45(iPr_def_15,sk7) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_15,X0)
| ~ ssList(skaf45(iPr_def_15,sk7)) ),
inference(superposition,[status(thm)],[c_24766,c_416]) ).
tcf(c_32909,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ( app(skaf42(skaf45(iPr_def_15,sk7),X0),cons(X0,skaf43(X0,skaf45(iPr_def_15,sk7)))) = skaf45(iPr_def_15,sk7) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32907,c_298]) ).
tcf(c_32921,plain,
( segmentP(iPr_def_16,skaf45(iPr_def_15,sk7))
| ~ ssList(sk8)
| ~ ssList(app(iPr_def_15,sk8)) ),
inference(superposition,[status(thm)],[c_6477,c_24785]) ).
tcf(c_32922,plain,
( segmentP(iPr_def_15,skaf45(iPr_def_15,sk7))
| ~ ssList(nil)
| ~ ssList(app(iPr_def_15,nil)) ),
inference(superposition,[status(thm)],[c_24914,c_24785]) ).
tcf(c_32923,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,skaf45(iPr_def_15,sk7))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_15,sk7))
| ~ ssList(app(iPr_def_15,X1))
| ~ segmentP(X0,app(iPr_def_15,X1)) ),
inference(superposition,[status(thm)],[c_24785,c_399]) ).
tcf(c_32924,plain,
! [X0: $i] :
( ( app(app(skaf47(app(iPr_def_15,X0),skaf45(iPr_def_15,sk7)),skaf45(iPr_def_15,sk7)),skaf48(skaf45(iPr_def_15,sk7),app(iPr_def_15,X0))) = app(iPr_def_15,X0) )
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_15,sk7))
| ~ ssList(app(iPr_def_15,X0)) ),
inference(superposition,[status(thm)],[c_24785,c_415]) ).
tcf(c_32925,plain,
! [X0: $i] :
( ( app(iPr_def_15,X0) = skaf45(iPr_def_15,sk7) )
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_15,sk7))
| ~ ssList(app(iPr_def_15,X0))
| ~ segmentP(skaf45(iPr_def_15,sk7),app(iPr_def_15,X0)) ),
inference(superposition,[status(thm)],[c_24785,c_374]) ).
tcf(c_32926,plain,
( segmentP(iPr_def_15,skaf45(iPr_def_15,sk7))
| ~ ssList(iPr_def_15)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_32922,c_24914]) ).
tcf(c_32927,plain,
segmentP(iPr_def_15,skaf45(iPr_def_15,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_32926,c_24748,c_255]) ).
tcf(c_32928,plain,
( segmentP(iPr_def_16,skaf45(iPr_def_15,sk7))
| ~ ssList(iPr_def_16)
| ~ ssList(sk8) ),
inference(light_normalisation,[status(thm)],[c_32921,c_6477]) ).
tcf(c_32929,plain,
segmentP(iPr_def_16,skaf45(iPr_def_15,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_32928,c_9020,c_6482]) ).
tcf(c_32930,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,skaf45(iPr_def_15,sk7))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X1))
| ~ segmentP(X0,app(iPr_def_15,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32923,c_298]) ).
tcf(c_32936,plain,
! [X0: $i] :
( ( app(iPr_def_15,X0) = skaf45(iPr_def_15,sk7) )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0))
| ~ segmentP(skaf45(iPr_def_15,sk7),app(iPr_def_15,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32925,c_298]) ).
tcf(c_32941,plain,
! [X0: $i] :
( ( app(app(skaf47(app(iPr_def_15,X0),skaf45(iPr_def_15,sk7)),skaf45(iPr_def_15,sk7)),skaf48(skaf45(iPr_def_15,sk7),app(iPr_def_15,X0))) = app(iPr_def_15,X0) )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32924,c_298]) ).
tcf(c_32966,plain,
! [X0: $i] :
( segmentP(X0,skaf45(iPr_def_15,sk7))
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_16)
| ~ ssList(skaf45(iPr_def_15,sk7)) ),
inference(superposition,[status(thm)],[c_32929,c_399]) ).
tcf(c_32967,plain,
( ( app(app(skaf47(iPr_def_16,skaf45(iPr_def_15,sk7)),skaf45(iPr_def_15,sk7)),skaf48(skaf45(iPr_def_15,sk7),iPr_def_16)) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf45(iPr_def_15,sk7)) ),
inference(superposition,[status(thm)],[c_32929,c_415]) ).
tcf(c_32968,plain,
( ( skaf45(iPr_def_15,sk7) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf45(iPr_def_15,sk7))
| ~ segmentP(skaf45(iPr_def_15,sk7),iPr_def_16) ),
inference(superposition,[status(thm)],[c_32929,c_374]) ).
tcf(c_32969,plain,
( ( skaf45(iPr_def_15,sk7) = iPr_def_16 )
| ~ segmentP(skaf45(iPr_def_15,sk7),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32968,c_9020,c_298]) ).
tcf(c_32972,plain,
! [X0: $i] :
( segmentP(X0,skaf45(iPr_def_15,sk7))
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32966,c_9020,c_298]) ).
tcf(c_32976,plain,
app(app(skaf47(iPr_def_16,skaf45(iPr_def_15,sk7)),skaf45(iPr_def_15,sk7)),skaf48(skaf45(iPr_def_15,sk7),iPr_def_16)) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_32967,c_9020,c_298]) ).
tcf(c_32999,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ( app(skaf42(skaf45(iPr_def_16,sk7),X0),cons(X0,skaf43(X0,skaf45(iPr_def_16,sk7)))) = skaf45(iPr_def_16,sk7) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0)
| ~ ssList(skaf45(iPr_def_16,sk7)) ),
inference(superposition,[status(thm)],[c_26411,c_416]) ).
tcf(c_33001,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ( app(skaf42(skaf45(iPr_def_16,sk7),X0),cons(X0,skaf43(X0,skaf45(iPr_def_16,sk7)))) = skaf45(iPr_def_16,sk7) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32999,c_298]) ).
tcf(c_33013,plain,
( segmentP(iPr_def_16,skaf45(iPr_def_16,sk7))
| ~ ssList(nil)
| ~ ssList(app(iPr_def_16,nil)) ),
inference(superposition,[status(thm)],[c_9132,c_26430]) ).
tcf(c_33014,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,skaf45(iPr_def_16,sk7))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,sk7))
| ~ ssList(app(iPr_def_16,X1))
| ~ segmentP(X0,app(iPr_def_16,X1)) ),
inference(superposition,[status(thm)],[c_26430,c_399]) ).
tcf(c_33015,plain,
! [X0: $i] :
( ( app(app(skaf47(app(iPr_def_16,X0),skaf45(iPr_def_16,sk7)),skaf45(iPr_def_16,sk7)),skaf48(skaf45(iPr_def_16,sk7),app(iPr_def_16,X0))) = app(iPr_def_16,X0) )
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,sk7))
| ~ ssList(app(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_26430,c_415]) ).
tcf(c_33016,plain,
! [X0: $i] :
( ( app(iPr_def_16,X0) = skaf45(iPr_def_16,sk7) )
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,sk7))
| ~ ssList(app(iPr_def_16,X0))
| ~ segmentP(skaf45(iPr_def_16,sk7),app(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_26430,c_374]) ).
tcf(c_33017,plain,
( segmentP(iPr_def_16,skaf45(iPr_def_16,sk7))
| ~ ssList(iPr_def_16)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_33013,c_9132]) ).
tcf(c_33018,plain,
segmentP(iPr_def_16,skaf45(iPr_def_16,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_33017,c_9020,c_255]) ).
tcf(c_33019,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,skaf45(iPr_def_16,sk7))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X1))
| ~ segmentP(X0,app(iPr_def_16,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33014,c_298]) ).
tcf(c_33025,plain,
! [X0: $i] :
( ( app(iPr_def_16,X0) = skaf45(iPr_def_16,sk7) )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ segmentP(skaf45(iPr_def_16,sk7),app(iPr_def_16,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33016,c_298]) ).
tcf(c_33030,plain,
! [X0: $i] :
( ( app(app(skaf47(app(iPr_def_16,X0),skaf45(iPr_def_16,sk7)),skaf45(iPr_def_16,sk7)),skaf48(skaf45(iPr_def_16,sk7),app(iPr_def_16,X0))) = app(iPr_def_16,X0) )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33015,c_298]) ).
tcf(c_33060,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf57(X0),X1),skaf57(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf57(X0))
| ~ ssList(app(app(nil,skaf57(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9216,c_420]) ).
tcf(c_33061,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ( app(X0,skaf57(X1)) != skaf57(X1) ) ),
inference(superposition,[status(thm)],[c_9216,c_398]) ).
tcf(c_33066,plain,
! [X0: $i] :
( frontsegP(skaf57(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf57(X0)) ),
inference(superposition,[status(thm)],[c_9216,c_808]) ).
tcf(c_33067,plain,
! [X0: $i] :
( rearsegP(skaf57(X0),skaf57(X0))
| ~ ssList(nil)
| ~ ssList(skaf57(X0)) ),
inference(superposition,[status(thm)],[c_9216,c_807]) ).
tcf(c_33070,plain,
! [X0: $i,X1: $i] :
( ( skaf57(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ( app(nil,X0) != skaf57(X1) ) ),
inference(superposition,[status(thm)],[c_9216,c_397]) ).
tcf(c_33072,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf57(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf57(X0)) ),
inference(superposition,[status(thm)],[c_9216,c_384]) ).
tcf(c_33073,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf57(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf57(X0))
| ~ segmentP(skaf57(X0),X1) ),
inference(superposition,[status(thm)],[c_9216,c_419]) ).
tcf(c_33074,plain,
! [X0: $i] : frontsegP(skaf57(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_33066,c_255,c_285]) ).
tcf(c_33075,plain,
! [X0: $i] : rearsegP(skaf57(X0),skaf57(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_33067,c_255,c_285]) ).
tcf(c_33076,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf57(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33072,c_255,c_285]) ).
tcf(c_33080,plain,
! [X0: $i,X1: $i] :
( ( skaf57(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf57(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33070,c_255,c_285]) ).
tcf(c_33084,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf57(X1)) != skaf57(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33061,c_255,c_285]) ).
tcf(c_33088,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf57(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf57(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33073,c_255,c_285]) ).
tcf(c_33093,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf57(X0),X1),skaf57(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf57(X0))
| ~ ssList(app(skaf57(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_33060,c_9216]) ).
tcf(c_33094,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf57(X0),X1),skaf57(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf57(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33093,c_255,c_285]) ).
tcf(c_33159,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf57(X1))
| ~ frontsegP(X0,skaf57(X1)) ),
inference(superposition,[status(thm)],[c_33074,c_401]) ).
tcf(c_33160,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf57(X0),nil)) = skaf57(X0) )
| ~ ssList(nil)
| ~ ssList(skaf57(X0)) ),
inference(superposition,[status(thm)],[c_33074,c_379]) ).
tcf(c_33161,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf57(X0))
| ~ frontsegP(nil,skaf57(X0)) ),
inference(superposition,[status(thm)],[c_33074,c_376]) ).
tcf(c_33162,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ~ frontsegP(nil,skaf57(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33161,c_255,c_285]) ).
tcf(c_33165,plain,
! [X0: $i] : app(nil,skaf45(skaf57(X0),nil)) = skaf57(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_33160,c_255,c_285]) ).
tcf(c_33170,plain,
! [X0: $i] :
( ( app(skaf46(skaf57(X0),skaf57(X0)),skaf57(X0)) = skaf57(X0) )
| ~ ssList(skaf57(X0)) ),
inference(superposition,[status(thm)],[c_33075,c_378]) ).
tcf(c_33172,plain,
! [X0: $i] : app(skaf46(skaf57(X0),skaf57(X0)),skaf57(X0)) = skaf57(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_33170,c_285]) ).
tcf(c_33179,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf56(X0),X1),skaf56(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf56(X0))
| ~ ssList(app(app(nil,skaf56(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9217,c_420]) ).
tcf(c_33180,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ( app(X0,skaf56(X1)) != skaf56(X1) ) ),
inference(superposition,[status(thm)],[c_9217,c_398]) ).
tcf(c_33185,plain,
! [X0: $i] :
( frontsegP(skaf56(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf56(X0)) ),
inference(superposition,[status(thm)],[c_9217,c_808]) ).
tcf(c_33186,plain,
! [X0: $i] :
( rearsegP(skaf56(X0),skaf56(X0))
| ~ ssList(nil)
| ~ ssList(skaf56(X0)) ),
inference(superposition,[status(thm)],[c_9217,c_807]) ).
tcf(c_33189,plain,
! [X0: $i,X1: $i] :
( ( skaf56(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ( app(nil,X0) != skaf56(X1) ) ),
inference(superposition,[status(thm)],[c_9217,c_397]) ).
tcf(c_33191,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf56(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf56(X0)) ),
inference(superposition,[status(thm)],[c_9217,c_384]) ).
tcf(c_33192,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf56(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf56(X0))
| ~ segmentP(skaf56(X0),X1) ),
inference(superposition,[status(thm)],[c_9217,c_419]) ).
tcf(c_33193,plain,
! [X0: $i] : frontsegP(skaf56(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_33185,c_255,c_286]) ).
tcf(c_33194,plain,
! [X0: $i] : rearsegP(skaf56(X0),skaf56(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_33186,c_255,c_286]) ).
tcf(c_33195,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf56(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33191,c_255,c_286]) ).
tcf(c_33199,plain,
! [X0: $i,X1: $i] :
( ( skaf56(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf56(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33189,c_255,c_286]) ).
tcf(c_33203,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf56(X1)) != skaf56(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33180,c_255,c_286]) ).
tcf(c_33207,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf56(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf56(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33192,c_255,c_286]) ).
tcf(c_33212,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf56(X0),X1),skaf56(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf56(X0))
| ~ ssList(app(skaf56(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_33179,c_9217]) ).
tcf(c_33213,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf56(X0),X1),skaf56(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf56(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33212,c_255,c_286]) ).
tcf(c_33221,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf56(X1))
| ~ frontsegP(X0,skaf56(X1)) ),
inference(superposition,[status(thm)],[c_33193,c_401]) ).
tcf(c_33222,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf56(X0),nil)) = skaf56(X0) )
| ~ ssList(nil)
| ~ ssList(skaf56(X0)) ),
inference(superposition,[status(thm)],[c_33193,c_379]) ).
tcf(c_33223,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf56(X0))
| ~ frontsegP(nil,skaf56(X0)) ),
inference(superposition,[status(thm)],[c_33193,c_376]) ).
tcf(c_33224,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ~ frontsegP(nil,skaf56(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33223,c_255,c_286]) ).
tcf(c_33227,plain,
! [X0: $i] : app(nil,skaf45(skaf56(X0),nil)) = skaf56(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_33222,c_255,c_286]) ).
tcf(c_33245,plain,
! [X0: $i] :
( segmentP(X0,skaf45(iPr_def_15,sk7))
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_15)
| ~ ssList(skaf45(iPr_def_15,sk7)) ),
inference(superposition,[status(thm)],[c_32927,c_399]) ).
tcf(c_33246,plain,
( ( app(app(skaf47(iPr_def_15,skaf45(iPr_def_15,sk7)),skaf45(iPr_def_15,sk7)),skaf48(skaf45(iPr_def_15,sk7),iPr_def_15)) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(skaf45(iPr_def_15,sk7)) ),
inference(superposition,[status(thm)],[c_32927,c_415]) ).
tcf(c_33247,plain,
( ( skaf45(iPr_def_15,sk7) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(skaf45(iPr_def_15,sk7))
| ~ segmentP(skaf45(iPr_def_15,sk7),iPr_def_15) ),
inference(superposition,[status(thm)],[c_32927,c_374]) ).
tcf(c_33248,plain,
( ( skaf45(iPr_def_15,sk7) = iPr_def_15 )
| ~ segmentP(skaf45(iPr_def_15,sk7),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33247,c_24748,c_298]) ).
tcf(c_33251,plain,
! [X0: $i] :
( segmentP(X0,skaf45(iPr_def_15,sk7))
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33245,c_24748,c_298]) ).
tcf(c_33255,plain,
app(app(skaf47(iPr_def_15,skaf45(iPr_def_15,sk7)),skaf45(iPr_def_15,sk7)),skaf48(skaf45(iPr_def_15,sk7),iPr_def_15)) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_33246,c_24748,c_298]) ).
tcf(c_33325,plain,
! [X0: $i] :
( segmentP(X0,skaf45(iPr_def_16,sk7))
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_16)
| ~ ssList(skaf45(iPr_def_16,sk7)) ),
inference(superposition,[status(thm)],[c_33018,c_399]) ).
tcf(c_33326,plain,
( ( app(app(skaf47(iPr_def_16,skaf45(iPr_def_16,sk7)),skaf45(iPr_def_16,sk7)),skaf48(skaf45(iPr_def_16,sk7),iPr_def_16)) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf45(iPr_def_16,sk7)) ),
inference(superposition,[status(thm)],[c_33018,c_415]) ).
tcf(c_33327,plain,
( ( skaf45(iPr_def_16,sk7) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf45(iPr_def_16,sk7))
| ~ segmentP(skaf45(iPr_def_16,sk7),iPr_def_16) ),
inference(superposition,[status(thm)],[c_33018,c_374]) ).
tcf(c_33328,plain,
( ( skaf45(iPr_def_16,sk7) = iPr_def_16 )
| ~ segmentP(skaf45(iPr_def_16,sk7),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33327,c_9020,c_298]) ).
tcf(c_33331,plain,
! [X0: $i] :
( segmentP(X0,skaf45(iPr_def_16,sk7))
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33325,c_9020,c_298]) ).
tcf(c_33335,plain,
app(app(skaf47(iPr_def_16,skaf45(iPr_def_16,sk7)),skaf45(iPr_def_16,sk7)),skaf48(skaf45(iPr_def_16,sk7),iPr_def_16)) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_33326,c_9020,c_298]) ).
tcf(c_33337,plain,
! [X0: $i] :
( ( app(skaf46(skaf56(X0),skaf56(X0)),skaf56(X0)) = skaf56(X0) )
| ~ ssList(skaf56(X0)) ),
inference(superposition,[status(thm)],[c_33194,c_378]) ).
tcf(c_33339,plain,
! [X0: $i] : app(skaf46(skaf56(X0),skaf56(X0)),skaf56(X0)) = skaf56(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_33337,c_286]) ).
tcf(c_33397,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| memberP(sk8,X0)
| ~ memberP(iPr_def_16,X0)
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_16821,c_9461,c_9443,c_9489,c_9488,c_16821]) ).
tcf(c_33398,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| memberP(sk8,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0) ),
inference(renaming,[status(thm)],[c_33397]) ).
tcf(c_33418,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf53(X0),X1),skaf53(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf53(X0))
| ~ ssList(app(app(nil,skaf53(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9218,c_420]) ).
tcf(c_33419,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ( app(X0,skaf53(X1)) != skaf53(X1) ) ),
inference(superposition,[status(thm)],[c_9218,c_398]) ).
tcf(c_33424,plain,
! [X0: $i] :
( frontsegP(skaf53(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf53(X0)) ),
inference(superposition,[status(thm)],[c_9218,c_808]) ).
tcf(c_33425,plain,
! [X0: $i] :
( rearsegP(skaf53(X0),skaf53(X0))
| ~ ssList(nil)
| ~ ssList(skaf53(X0)) ),
inference(superposition,[status(thm)],[c_9218,c_807]) ).
tcf(c_33428,plain,
! [X0: $i,X1: $i] :
( ( skaf53(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ( app(nil,X0) != skaf53(X1) ) ),
inference(superposition,[status(thm)],[c_9218,c_397]) ).
tcf(c_33430,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf53(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf53(X0)) ),
inference(superposition,[status(thm)],[c_9218,c_384]) ).
tcf(c_33431,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf53(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf53(X0))
| ~ segmentP(skaf53(X0),X1) ),
inference(superposition,[status(thm)],[c_9218,c_419]) ).
tcf(c_33432,plain,
! [X0: $i] : frontsegP(skaf53(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_33424,c_255,c_289]) ).
tcf(c_33433,plain,
! [X0: $i] : rearsegP(skaf53(X0),skaf53(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_33425,c_255,c_289]) ).
tcf(c_33434,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf53(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33430,c_255,c_289]) ).
tcf(c_33438,plain,
! [X0: $i,X1: $i] :
( ( skaf53(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf53(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33428,c_255,c_289]) ).
tcf(c_33442,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf53(X1)) != skaf53(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33419,c_255,c_289]) ).
tcf(c_33446,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf53(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf53(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33431,c_255,c_289]) ).
tcf(c_33451,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf53(X0),X1),skaf53(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf53(X0))
| ~ ssList(app(skaf53(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_33418,c_9218]) ).
tcf(c_33452,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf53(X0),X1),skaf53(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf53(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33451,c_255,c_289]) ).
tcf(c_33460,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf53(X1))
| ~ frontsegP(X0,skaf53(X1)) ),
inference(superposition,[status(thm)],[c_33432,c_401]) ).
tcf(c_33461,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf53(X0),nil)) = skaf53(X0) )
| ~ ssList(nil)
| ~ ssList(skaf53(X0)) ),
inference(superposition,[status(thm)],[c_33432,c_379]) ).
tcf(c_33462,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf53(X0))
| ~ frontsegP(nil,skaf53(X0)) ),
inference(superposition,[status(thm)],[c_33432,c_376]) ).
tcf(c_33463,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ~ frontsegP(nil,skaf53(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33462,c_255,c_289]) ).
tcf(c_33466,plain,
! [X0: $i] : app(nil,skaf45(skaf53(X0),nil)) = skaf53(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_33461,c_255,c_289]) ).
tcf(c_33471,plain,
! [X0: $i] :
( ( app(skaf46(skaf53(X0),skaf53(X0)),skaf53(X0)) = skaf53(X0) )
| ~ ssList(skaf53(X0)) ),
inference(superposition,[status(thm)],[c_33433,c_378]) ).
tcf(c_33473,plain,
! [X0: $i] : app(skaf46(skaf53(X0),skaf53(X0)),skaf53(X0)) = skaf53(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_33471,c_289]) ).
tcf(c_33520,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf52(X0),X1),skaf52(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf52(X0))
| ~ ssList(app(app(nil,skaf52(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9219,c_420]) ).
tcf(c_33521,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ( app(X0,skaf52(X1)) != skaf52(X1) ) ),
inference(superposition,[status(thm)],[c_9219,c_398]) ).
tcf(c_33526,plain,
! [X0: $i] :
( frontsegP(skaf52(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf52(X0)) ),
inference(superposition,[status(thm)],[c_9219,c_808]) ).
tcf(c_33527,plain,
! [X0: $i] :
( rearsegP(skaf52(X0),skaf52(X0))
| ~ ssList(nil)
| ~ ssList(skaf52(X0)) ),
inference(superposition,[status(thm)],[c_9219,c_807]) ).
tcf(c_33530,plain,
! [X0: $i,X1: $i] :
( ( skaf52(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ( app(nil,X0) != skaf52(X1) ) ),
inference(superposition,[status(thm)],[c_9219,c_397]) ).
tcf(c_33532,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf52(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf52(X0)) ),
inference(superposition,[status(thm)],[c_9219,c_384]) ).
tcf(c_33533,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf52(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf52(X0))
| ~ segmentP(skaf52(X0),X1) ),
inference(superposition,[status(thm)],[c_9219,c_419]) ).
tcf(c_33534,plain,
! [X0: $i] : frontsegP(skaf52(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_33526,c_255,c_290]) ).
tcf(c_33535,plain,
! [X0: $i] : rearsegP(skaf52(X0),skaf52(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_33527,c_255,c_290]) ).
tcf(c_33536,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf52(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33532,c_255,c_290]) ).
tcf(c_33540,plain,
! [X0: $i,X1: $i] :
( ( skaf52(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf52(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33530,c_255,c_290]) ).
tcf(c_33544,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf52(X1)) != skaf52(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33521,c_255,c_290]) ).
tcf(c_33548,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf52(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf52(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33533,c_255,c_290]) ).
tcf(c_33553,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf52(X0),X1),skaf52(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf52(X0))
| ~ ssList(app(skaf52(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_33520,c_9219]) ).
tcf(c_33554,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf52(X0),X1),skaf52(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf52(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33553,c_255,c_290]) ).
tcf(c_33562,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf52(X1))
| ~ frontsegP(X0,skaf52(X1)) ),
inference(superposition,[status(thm)],[c_33534,c_401]) ).
tcf(c_33563,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf52(X0),nil)) = skaf52(X0) )
| ~ ssList(nil)
| ~ ssList(skaf52(X0)) ),
inference(superposition,[status(thm)],[c_33534,c_379]) ).
tcf(c_33564,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf52(X0))
| ~ frontsegP(nil,skaf52(X0)) ),
inference(superposition,[status(thm)],[c_33534,c_376]) ).
tcf(c_33565,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ~ frontsegP(nil,skaf52(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33564,c_255,c_290]) ).
tcf(c_33568,plain,
! [X0: $i] : app(nil,skaf45(skaf52(X0),nil)) = skaf52(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_33563,c_255,c_290]) ).
tcf(c_33738,plain,
! [X0: $i] :
( ( app(skaf46(skaf52(X0),skaf52(X0)),skaf52(X0)) = skaf52(X0) )
| ~ ssList(skaf52(X0)) ),
inference(superposition,[status(thm)],[c_33535,c_378]) ).
tcf(c_33740,plain,
! [X0: $i] : app(skaf46(skaf52(X0),skaf52(X0)),skaf52(X0)) = skaf52(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_33738,c_290]) ).
tcf(c_33789,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,iPr_def_15)))
| ( cons(sk6,iPr_def_15) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,iPr_def_15))
| ~ ssList(cons(sk6,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24905,c_407]) ).
tcf(c_33790,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,iPr_def_15)))
| ( cons(sk6,iPr_def_15) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,iPr_def_15))
| ~ ssList(cons(sk6,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24905,c_406]) ).
tcf(c_33815,plain,
( ( sk8 = nil )
| ~ ssList(nil)
| ( skaf46(iPr_def_16,sk8) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9128,c_17203]) ).
tcf(c_33817,plain,
( ( sk8 = nil )
| ( skaf46(iPr_def_16,sk8) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33815,c_255]) ).
tcf(c_33829,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf51(X0),X1),skaf51(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf51(X0))
| ~ ssList(app(app(nil,skaf51(X0)),X1)) ),
inference(superposition,[status(thm)],[c_9220,c_420]) ).
tcf(c_33830,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ( app(X0,skaf51(X1)) != skaf51(X1) ) ),
inference(superposition,[status(thm)],[c_9220,c_398]) ).
tcf(c_33835,plain,
! [X0: $i] :
( frontsegP(skaf51(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf51(X0)) ),
inference(superposition,[status(thm)],[c_9220,c_808]) ).
tcf(c_33836,plain,
! [X0: $i] :
( rearsegP(skaf51(X0),skaf51(X0))
| ~ ssList(nil)
| ~ ssList(skaf51(X0)) ),
inference(superposition,[status(thm)],[c_9220,c_807]) ).
tcf(c_33839,plain,
! [X0: $i,X1: $i] :
( ( skaf51(X1) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ( app(nil,X0) != skaf51(X1) ) ),
inference(superposition,[status(thm)],[c_9220,c_397]) ).
tcf(c_33841,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf51(X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(skaf51(X0)) ),
inference(superposition,[status(thm)],[c_9220,c_384]) ).
tcf(c_33842,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf51(X0),X2),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(skaf51(X0))
| ~ segmentP(skaf51(X0),X1) ),
inference(superposition,[status(thm)],[c_9220,c_419]) ).
tcf(c_33843,plain,
! [X0: $i] : frontsegP(skaf51(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_33835,c_255,c_291]) ).
tcf(c_33844,plain,
! [X0: $i] : rearsegP(skaf51(X0),skaf51(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_33836,c_255,c_291]) ).
tcf(c_33845,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf51(X1),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33841,c_255,c_291]) ).
tcf(c_33849,plain,
! [X0: $i,X1: $i] :
( ( skaf51(X1) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != skaf51(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33839,c_255,c_291]) ).
tcf(c_33853,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf51(X1)) != skaf51(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33830,c_255,c_291]) ).
tcf(c_33857,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf51(X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(skaf51(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33842,c_255,c_291]) ).
tcf(c_33862,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf51(X0),X1),skaf51(X0))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(skaf51(X0))
| ~ ssList(app(skaf51(X0),X1)) ),
inference(light_normalisation,[status(thm)],[c_33829,c_9220]) ).
tcf(c_33863,plain,
! [X0: $i,X1: $i] :
( segmentP(app(skaf51(X0),X1),skaf51(X0))
| ~ ssList(X1)
| ~ ssList(app(skaf51(X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33862,c_255,c_291]) ).
tcf(c_33871,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf51(X1))
| ~ frontsegP(X0,skaf51(X1)) ),
inference(superposition,[status(thm)],[c_33843,c_401]) ).
tcf(c_33872,plain,
! [X0: $i] :
( ( app(nil,skaf45(skaf51(X0),nil)) = skaf51(X0) )
| ~ ssList(nil)
| ~ ssList(skaf51(X0)) ),
inference(superposition,[status(thm)],[c_33843,c_379]) ).
tcf(c_33873,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ~ ssList(nil)
| ~ ssList(skaf51(X0))
| ~ frontsegP(nil,skaf51(X0)) ),
inference(superposition,[status(thm)],[c_33843,c_376]) ).
tcf(c_33874,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ~ frontsegP(nil,skaf51(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33873,c_255,c_291]) ).
tcf(c_33877,plain,
! [X0: $i] : app(nil,skaf45(skaf51(X0),nil)) = skaf51(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_33872,c_255,c_291]) ).
tcf(c_33882,plain,
! [X0: $i] :
( ( app(skaf46(skaf51(X0),skaf51(X0)),skaf51(X0)) = skaf51(X0) )
| ~ ssList(skaf51(X0)) ),
inference(superposition,[status(thm)],[c_33844,c_378]) ).
tcf(c_33884,plain,
! [X0: $i] : app(skaf46(skaf51(X0),skaf51(X0)),skaf51(X0)) = skaf51(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_33882,c_291]) ).
tcf(c_33888,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf82(X0))))
| ( cons(sk5,skaf82(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf82(X0)))
| ~ ssList(cons(sk5,skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10653,c_407]) ).
tcf(c_33889,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf82(X0))))
| ( cons(sk5,skaf82(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf82(X0)))
| ~ ssList(cons(sk5,skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10653,c_406]) ).
tcf(c_33905,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,iPr_def_15)))
| ( cons(sk5,iPr_def_15) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,iPr_def_15))
| ~ ssList(cons(sk5,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24908,c_407]) ).
tcf(c_33906,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,iPr_def_15)))
| ( cons(sk5,iPr_def_15) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,iPr_def_15))
| ~ ssList(cons(sk5,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24908,c_406]) ).
tcf(c_33923,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,iPr_def_15) = nil )
| ( cons(sk6,iPr_def_15) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,iPr_def_15))
| ( tl(X0) != iPr_def_15 )
| ( hd(cons(sk6,iPr_def_15)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_24910,c_424]) ).
tcf(c_33926,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,iPr_def_15) = nil )
| ( cons(sk6,iPr_def_15) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk6,iPr_def_15))
| ( hd(X0) != sk6 )
| ( tl(X0) != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_33923,c_24905]) ).
tcf(c_33934,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,iPr_def_15) = nil )
| ( cons(sk5,iPr_def_15) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,iPr_def_15))
| ( tl(X0) != iPr_def_15 )
| ( hd(cons(sk5,iPr_def_15)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_24911,c_424]) ).
tcf(c_33937,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,iPr_def_15) = nil )
| ( cons(sk5,iPr_def_15) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,iPr_def_15))
| ( hd(X0) != sk5 )
| ( tl(X0) != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_33934,c_24908]) ).
tcf(c_33952,plain,
( ( skaf46(iPr_def_16,sk8) = iPr_def_15 )
| ~ ssList(iPr_def_15) ),
inference(superposition,[status(thm)],[c_6477,c_17766]) ).
tcf(c_33955,plain,
skaf46(iPr_def_16,sk8) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_33952,c_24748]) ).
tcf(c_33956,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ~ ssList(X0)
| ( app(X0,sk8) != iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_17766,c_33955]) ).
tcf(c_33957,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ( app(iPr_def_15,X0) != iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_17203,c_33955]) ).
tcf(c_33962,plain,
app(iPr_def_15,sk8) = iPr_def_16,
inference(demodulation,[status(thm)],[c_12970,c_33955]) ).
tcf(c_33983,plain,
( ( sk5 = sk6 )
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ frontsegP(iPr_def_12,iPr_def_14) ),
inference(superposition,[status(thm)],[c_32889,c_21580]) ).
tcf(c_33987,plain,
( ( sk4 = nil )
| ( hd(sk4) = sk6 )
| ~ frontsegP(sk4,iPr_def_14)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_10766,c_21580]) ).
tcf(c_33988,plain,
( ( sk7 = nil )
| ( hd(sk7) = sk6 )
| ~ frontsegP(sk7,iPr_def_14)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7)) ),
inference(superposition,[status(thm)],[c_10767,c_21580]) ).
tcf(c_33989,plain,
( ( sk8 = nil )
| ( hd(sk8) = sk6 )
| ~ frontsegP(sk8,iPr_def_14)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8)) ),
inference(superposition,[status(thm)],[c_10768,c_21580]) ).
tcf(c_33990,plain,
( ( sk4 = nil )
| ( skaf83(sk4) = sk6 )
| ~ frontsegP(sk4,iPr_def_14)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4)) ),
inference(superposition,[status(thm)],[c_10982,c_21580]) ).
tcf(c_33991,plain,
( ( sk7 = nil )
| ( skaf83(sk7) = sk6 )
| ~ frontsegP(sk7,iPr_def_14)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7)) ),
inference(superposition,[status(thm)],[c_10983,c_21580]) ).
tcf(c_33992,plain,
( ( sk8 = nil )
| ( skaf83(sk8) = sk6 )
| ~ frontsegP(sk8,iPr_def_14)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8)) ),
inference(superposition,[status(thm)],[c_10984,c_21580]) ).
tcf(c_33993,plain,
~ frontsegP(iPr_def_12,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_33983,c_6481,c_6485,c_255]) ).
tcf(c_33994,plain,
( ( sk8 = nil )
| ( skaf83(sk8) = sk6 )
| ~ frontsegP(sk8,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33992,c_259,c_260]) ).
tcf(c_33998,plain,
( ( sk7 = nil )
| ( skaf83(sk7) = sk6 )
| ~ frontsegP(sk7,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33991,c_259,c_260]) ).
tcf(c_34002,plain,
( ( sk4 = nil )
| ( skaf83(sk4) = sk6 )
| ~ frontsegP(sk4,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33990,c_259,c_260]) ).
tcf(c_34070,plain,
( ( sk5 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ frontsegP(iPr_def_14,iPr_def_12) ),
inference(superposition,[status(thm)],[c_32529,c_21585]) ).
tcf(c_34072,plain,
( ( sk4 = nil )
| ( hd(sk4) = sk5 )
| ~ frontsegP(sk4,iPr_def_12)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_10766,c_21585]) ).
tcf(c_34073,plain,
( ( sk7 = nil )
| ( hd(sk7) = sk5 )
| ~ frontsegP(sk7,iPr_def_12)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7)) ),
inference(superposition,[status(thm)],[c_10767,c_21585]) ).
tcf(c_34074,plain,
( ( sk8 = nil )
| ( hd(sk8) = sk5 )
| ~ frontsegP(sk8,iPr_def_12)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8)) ),
inference(superposition,[status(thm)],[c_10768,c_21585]) ).
tcf(c_34075,plain,
( ( sk4 = nil )
| ( skaf83(sk4) = sk5 )
| ~ frontsegP(sk4,iPr_def_12)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4)) ),
inference(superposition,[status(thm)],[c_10982,c_21585]) ).
tcf(c_34076,plain,
( ( sk7 = nil )
| ( skaf83(sk7) = sk5 )
| ~ frontsegP(sk7,iPr_def_12)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7)) ),
inference(superposition,[status(thm)],[c_10983,c_21585]) ).
tcf(c_34077,plain,
( ( sk8 = nil )
| ( skaf83(sk8) = sk5 )
| ~ frontsegP(sk8,iPr_def_12)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8)) ),
inference(superposition,[status(thm)],[c_10984,c_21585]) ).
tcf(c_34078,plain,
~ frontsegP(iPr_def_14,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_34070,c_6481,c_6484,c_255]) ).
tcf(c_34079,plain,
( ( sk8 = nil )
| ( skaf83(sk8) = sk5 )
| ~ frontsegP(sk8,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34077,c_259,c_260]) ).
tcf(c_34083,plain,
( ( sk7 = nil )
| ( skaf83(sk7) = sk5 )
| ~ frontsegP(sk7,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34076,c_259,c_260]) ).
tcf(c_34087,plain,
( ( sk4 = nil )
| ( skaf83(sk4) = sk5 )
| ~ frontsegP(sk4,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34075,c_259,c_260]) ).
tcf(c_34119,plain,
( ( sk4 = nil )
| ( hd(sk4) = sk6 )
| ~ frontsegP(iPr_def_14,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_10766,c_21590]) ).
tcf(c_34120,plain,
( ( sk7 = nil )
| ( hd(sk7) = sk6 )
| ~ frontsegP(iPr_def_14,sk7)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7)) ),
inference(superposition,[status(thm)],[c_10767,c_21590]) ).
tcf(c_34121,plain,
( ( sk8 = nil )
| ( hd(sk8) = sk6 )
| ~ frontsegP(iPr_def_14,sk8)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8)) ),
inference(superposition,[status(thm)],[c_10768,c_21590]) ).
tcf(c_34122,plain,
( ( sk4 = nil )
| ( skaf83(sk4) = sk6 )
| ~ frontsegP(iPr_def_14,sk4)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4)) ),
inference(superposition,[status(thm)],[c_10982,c_21590]) ).
tcf(c_34123,plain,
( ( sk7 = nil )
| ( skaf83(sk7) = sk6 )
| ~ frontsegP(iPr_def_14,sk7)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7)) ),
inference(superposition,[status(thm)],[c_10983,c_21590]) ).
tcf(c_34124,plain,
( ( sk8 = nil )
| ( skaf83(sk8) = sk6 )
| ~ frontsegP(iPr_def_14,sk8)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8)) ),
inference(superposition,[status(thm)],[c_10984,c_21590]) ).
tcf(c_34125,plain,
( ( sk8 = nil )
| ( skaf83(sk8) = sk6 )
| ~ frontsegP(iPr_def_14,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34124,c_259,c_260]) ).
tcf(c_34129,plain,
( ( sk7 = nil )
| ( skaf83(sk7) = sk6 )
| ~ frontsegP(iPr_def_14,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34123,c_259,c_260]) ).
tcf(c_34133,plain,
( ( sk4 = nil )
| ( skaf83(sk4) = sk6 )
| ~ frontsegP(iPr_def_14,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34122,c_259,c_260]) ).
tcf(c_34165,plain,
( ( sk4 = nil )
| ( hd(sk4) = sk5 )
| ~ frontsegP(iPr_def_12,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_10766,c_21595]) ).
tcf(c_34166,plain,
( ( sk7 = nil )
| ( hd(sk7) = sk5 )
| ~ frontsegP(iPr_def_12,sk7)
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7)) ),
inference(superposition,[status(thm)],[c_10767,c_21595]) ).
tcf(c_34167,plain,
( ( sk8 = nil )
| ( hd(sk8) = sk5 )
| ~ frontsegP(iPr_def_12,sk8)
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8)) ),
inference(superposition,[status(thm)],[c_10768,c_21595]) ).
tcf(c_34168,plain,
( ( sk4 = nil )
| ( skaf83(sk4) = sk5 )
| ~ frontsegP(iPr_def_12,sk4)
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4)) ),
inference(superposition,[status(thm)],[c_10982,c_21595]) ).
tcf(c_34169,plain,
( ( sk7 = nil )
| ( skaf83(sk7) = sk5 )
| ~ frontsegP(iPr_def_12,sk7)
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7)) ),
inference(superposition,[status(thm)],[c_10983,c_21595]) ).
tcf(c_34170,plain,
( ( sk8 = nil )
| ( skaf83(sk8) = sk5 )
| ~ frontsegP(iPr_def_12,sk8)
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8)) ),
inference(superposition,[status(thm)],[c_10984,c_21595]) ).
tcf(c_34171,plain,
( ( sk8 = nil )
| ( skaf83(sk8) = sk5 )
| ~ frontsegP(iPr_def_12,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34170,c_259,c_260]) ).
tcf(c_34175,plain,
( ( sk7 = nil )
| ( skaf83(sk7) = sk5 )
| ~ frontsegP(iPr_def_12,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34169,c_259,c_260]) ).
tcf(c_34179,plain,
( ( sk4 = nil )
| ( skaf83(sk4) = sk5 )
| ~ frontsegP(iPr_def_12,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34168,c_259,c_260]) ).
tcf(c_34203,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf48(X0,X1),X2),skaf48(X0,X1))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf48(X0,X1))
| ~ ssList(app(app(nil,skaf48(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_9221,c_420]) ).
tcf(c_34204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf48(X1,X2))
| ( app(X0,skaf48(X1,X2)) != skaf48(X1,X2) ) ),
inference(superposition,[status(thm)],[c_9221,c_398]) ).
tcf(c_34209,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf48(X0,X1),nil)
| ~ ssList(nil)
| ~ ssList(skaf48(X0,X1)) ),
inference(superposition,[status(thm)],[c_9221,c_808]) ).
tcf(c_34210,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf48(X0,X1),skaf48(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf48(X0,X1)) ),
inference(superposition,[status(thm)],[c_9221,c_807]) ).
tcf(c_34213,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf48(X0,X1) = X2 )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf48(X0,X1))
| ( skaf48(X0,X1) != app(nil,X2) ) ),
inference(superposition,[status(thm)],[c_9221,c_397]) ).
tcf(c_34215,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf48(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf48(X0,X1)) ),
inference(superposition,[status(thm)],[c_9221,c_384]) ).
tcf(c_34216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf48(X0,X1),X3),X2)
| ~ ssList(nil)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(skaf48(X0,X1))
| ~ segmentP(skaf48(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_9221,c_419]) ).
tcf(c_34217,plain,
! [X0: $i,X1: $i] : frontsegP(skaf48(X0,X1),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_34209,c_255,c_295]) ).
tcf(c_34218,plain,
! [X0: $i,X1: $i] : rearsegP(skaf48(X0,X1),skaf48(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_34210,c_255,c_295]) ).
tcf(c_34219,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf48(X1,X2),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34215,c_255,c_295]) ).
tcf(c_34223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf48(X0,X1) = X2 )
| ~ ssList(X2)
| ( skaf48(X0,X1) != app(nil,X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34213,c_255,c_295]) ).
tcf(c_34227,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf48(X1,X2)) != skaf48(X1,X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34204,c_255,c_295]) ).
tcf(c_34231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf48(X0,X1),X3),X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(skaf48(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34216,c_255,c_295]) ).
tcf(c_34236,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf48(X0,X1),X2),skaf48(X0,X1))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf48(X0,X1))
| ~ ssList(app(skaf48(X0,X1),X2)) ),
inference(light_normalisation,[status(thm)],[c_34203,c_9221]) ).
tcf(c_34237,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf48(X0,X1),X2),skaf48(X0,X1))
| ~ ssList(X2)
| ~ ssList(app(skaf48(X0,X1),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34236,c_255,c_295]) ).
tcf(c_34245,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf48(X1,X2))
| ~ frontsegP(X0,skaf48(X1,X2)) ),
inference(superposition,[status(thm)],[c_34217,c_401]) ).
tcf(c_34246,plain,
! [X0: $i,X1: $i] :
( ( app(nil,skaf45(skaf48(X0,X1),nil)) = skaf48(X0,X1) )
| ~ ssList(nil)
| ~ ssList(skaf48(X0,X1)) ),
inference(superposition,[status(thm)],[c_34217,c_379]) ).
tcf(c_34247,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ~ ssList(nil)
| ~ ssList(skaf48(X0,X1))
| ~ frontsegP(nil,skaf48(X0,X1)) ),
inference(superposition,[status(thm)],[c_34217,c_376]) ).
tcf(c_34248,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ~ frontsegP(nil,skaf48(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34247,c_255,c_295]) ).
tcf(c_34251,plain,
! [X0: $i,X1: $i] : app(nil,skaf45(skaf48(X0,X1),nil)) = skaf48(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_34246,c_255,c_295]) ).
tcf(c_34318,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(skaf48(X0,X1),skaf48(X0,X1)),skaf48(X0,X1)) = skaf48(X0,X1) )
| ~ ssList(skaf48(X0,X1)) ),
inference(superposition,[status(thm)],[c_34218,c_378]) ).
tcf(c_34320,plain,
! [X0: $i,X1: $i] : app(skaf46(skaf48(X0,X1),skaf48(X0,X1)),skaf48(X0,X1)) = skaf48(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_34318,c_295]) ).
tcf(c_34323,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf81(X0))))
| ( cons(sk5,skaf81(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf81(X0)))
| ~ ssList(cons(sk5,skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10654,c_407]) ).
tcf(c_34324,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf81(X0))))
| ( cons(sk5,skaf81(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf81(X0)))
| ~ ssList(cons(sk5,skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10654,c_406]) ).
tcf(c_34340,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf80(X0))))
| ( cons(sk5,skaf80(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf80(X0)))
| ~ ssList(cons(sk5,skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10655,c_407]) ).
tcf(c_34341,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf80(X0))))
| ( cons(sk5,skaf80(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf80(X0)))
| ~ ssList(cons(sk5,skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10655,c_406]) ).
tcf(c_34357,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf77(X0))))
| ( cons(sk5,skaf77(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf77(X0)))
| ~ ssList(cons(sk5,skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10656,c_407]) ).
tcf(c_34358,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf77(X0))))
| ( cons(sk5,skaf77(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf77(X0)))
| ~ ssList(cons(sk5,skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10656,c_406]) ).
tcf(c_34374,plain,
! [X0: $i] :
( frontsegP(cons(sk6,sk4),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(cons(sk6,sk4),sk4),X0) ),
inference(light_normalisation,[status(thm)],[c_22113,c_28897]) ).
tcf(c_34384,plain,
( frontsegP(cons(sk6,sk4),nil)
| ~ ssList(nil)
| ~ ssList(skaf46(cons(sk6,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_307,c_34374]) ).
tcf(c_34387,plain,
frontsegP(cons(sk6,sk4),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_34384,c_255,c_297]) ).
tcf(c_34388,plain,
! [X0: $i] :
( memberP(cons(sk6,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(cons(sk6,sk4),sk4),X0) ),
inference(light_normalisation,[status(thm)],[c_22117,c_28897]) ).
tcf(c_34398,plain,
! [X0: $i] :
( frontsegP(cons(sk6,sk7),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(cons(sk6,sk7),sk7),X0) ),
inference(light_normalisation,[status(thm)],[c_23155,c_28897]) ).
tcf(c_34408,plain,
( frontsegP(cons(sk6,sk7),nil)
| ~ ssList(nil)
| ~ ssList(skaf46(cons(sk6,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_307,c_34398]) ).
tcf(c_34411,plain,
frontsegP(cons(sk6,sk7),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_34408,c_255,c_297]) ).
tcf(c_34412,plain,
! [X0: $i] :
( memberP(cons(sk6,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(cons(sk6,sk7),sk7),X0) ),
inference(light_normalisation,[status(thm)],[c_23159,c_28897]) ).
tcf(c_34422,plain,
! [X0: $i] :
( frontsegP(cons(sk6,sk8),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(cons(sk6,sk8),sk8),X0) ),
inference(light_normalisation,[status(thm)],[c_24495,c_28897]) ).
tcf(c_34432,plain,
( frontsegP(cons(sk6,sk8),nil)
| ~ ssList(nil)
| ~ ssList(skaf46(cons(sk6,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_307,c_34422]) ).
tcf(c_34435,plain,
frontsegP(cons(sk6,sk8),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_34432,c_255,c_297]) ).
tcf(c_34436,plain,
! [X0: $i] :
( memberP(cons(sk6,sk8),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(cons(sk6,sk8),sk8),X0) ),
inference(light_normalisation,[status(thm)],[c_24499,c_28897]) ).
tcf(c_34452,plain,
( ( skaf45(iPr_def_15,sk7) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_29639,c_24771]) ).
tcf(c_34454,plain,
( ( skaf45(iPr_def_15,sk7) = nil )
| ~ ssList(nil)
| ( sk7 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9102,c_24771]) ).
tcf(c_34456,plain,
( ( skaf45(iPr_def_15,sk7) = skaf45(iPr_def_16,sk7) )
| ~ ssList(skaf45(iPr_def_16,sk7))
| ( iPr_def_15 != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_26335,c_24771]) ).
tcf(c_34459,plain,
( ( skaf45(iPr_def_15,sk7) = skaf45(iPr_def_16,sk7) )
| ( iPr_def_15 != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34456,c_298]) ).
tcf(c_34474,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf47(X0,X1),X2),skaf47(X0,X1))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf47(X0,X1))
| ~ ssList(app(app(nil,skaf47(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_9222,c_420]) ).
tcf(c_34475,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf47(X1,X2))
| ( app(X0,skaf47(X1,X2)) != skaf47(X1,X2) ) ),
inference(superposition,[status(thm)],[c_9222,c_398]) ).
tcf(c_34480,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf47(X0,X1),nil)
| ~ ssList(nil)
| ~ ssList(skaf47(X0,X1)) ),
inference(superposition,[status(thm)],[c_9222,c_808]) ).
tcf(c_34481,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf47(X0,X1),skaf47(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf47(X0,X1)) ),
inference(superposition,[status(thm)],[c_9222,c_807]) ).
tcf(c_34484,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf47(X0,X1) = X2 )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf47(X0,X1))
| ( skaf47(X0,X1) != app(nil,X2) ) ),
inference(superposition,[status(thm)],[c_9222,c_397]) ).
tcf(c_34486,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf47(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf47(X0,X1)) ),
inference(superposition,[status(thm)],[c_9222,c_384]) ).
tcf(c_34487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf47(X0,X1),X3),X2)
| ~ ssList(nil)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(skaf47(X0,X1))
| ~ segmentP(skaf47(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_9222,c_419]) ).
tcf(c_34488,plain,
! [X0: $i,X1: $i] : frontsegP(skaf47(X0,X1),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_34480,c_255,c_296]) ).
tcf(c_34489,plain,
! [X0: $i,X1: $i] : rearsegP(skaf47(X0,X1),skaf47(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_34481,c_255,c_296]) ).
tcf(c_34490,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf47(X1,X2),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34486,c_255,c_296]) ).
tcf(c_34494,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf47(X0,X1) = X2 )
| ~ ssList(X2)
| ( skaf47(X0,X1) != app(nil,X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34484,c_255,c_296]) ).
tcf(c_34498,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf47(X1,X2)) != skaf47(X1,X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34475,c_255,c_296]) ).
tcf(c_34502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf47(X0,X1),X3),X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(skaf47(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34487,c_255,c_296]) ).
tcf(c_34507,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf47(X0,X1),X2),skaf47(X0,X1))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf47(X0,X1))
| ~ ssList(app(skaf47(X0,X1),X2)) ),
inference(light_normalisation,[status(thm)],[c_34474,c_9222]) ).
tcf(c_34508,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf47(X0,X1),X2),skaf47(X0,X1))
| ~ ssList(X2)
| ~ ssList(app(skaf47(X0,X1),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34507,c_255,c_296]) ).
tcf(c_34516,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_34387,c_401]) ).
tcf(c_34517,plain,
( ( app(nil,skaf45(cons(sk6,sk4),nil)) = cons(sk6,sk4) )
| ~ ssList(nil)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_34387,c_379]) ).
tcf(c_34518,plain,
( ( cons(sk6,sk4) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(nil,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_34387,c_376]) ).
tcf(c_34519,plain,
( ( cons(sk6,sk4) = nil )
| ~ frontsegP(nil,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34518,c_255,c_28942]) ).
tcf(c_34522,plain,
app(nil,skaf45(cons(sk6,sk4),nil)) = cons(sk6,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_34517,c_255,c_28942]) ).
tcf(c_34524,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_34411,c_401]) ).
tcf(c_34525,plain,
( ( app(nil,skaf45(cons(sk6,sk7),nil)) = cons(sk6,sk7) )
| ~ ssList(nil)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_34411,c_379]) ).
tcf(c_34526,plain,
( ( cons(sk6,sk7) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(nil,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_34411,c_376]) ).
tcf(c_34527,plain,
( ( cons(sk6,sk7) = nil )
| ~ frontsegP(nil,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34526,c_255,c_28940]) ).
tcf(c_34530,plain,
app(nil,skaf45(cons(sk6,sk7),nil)) = cons(sk6,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_34525,c_255,c_28940]) ).
tcf(c_34532,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_34435,c_401]) ).
tcf(c_34533,plain,
( ( app(nil,skaf45(cons(sk6,sk8),nil)) = cons(sk6,sk8) )
| ~ ssList(nil)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_34435,c_379]) ).
tcf(c_34534,plain,
( ( cons(sk6,sk8) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(nil,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_34435,c_376]) ).
tcf(c_34535,plain,
( ( cons(sk6,sk8) = nil )
| ~ frontsegP(nil,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34534,c_255,c_28938]) ).
tcf(c_34538,plain,
app(nil,skaf45(cons(sk6,sk8),nil)) = cons(sk6,sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_34533,c_255,c_28938]) ).
tcf(c_34540,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf47(X1,X2))
| ~ frontsegP(X0,skaf47(X1,X2)) ),
inference(superposition,[status(thm)],[c_34488,c_401]) ).
tcf(c_34541,plain,
! [X0: $i,X1: $i] :
( ( app(nil,skaf45(skaf47(X0,X1),nil)) = skaf47(X0,X1) )
| ~ ssList(nil)
| ~ ssList(skaf47(X0,X1)) ),
inference(superposition,[status(thm)],[c_34488,c_379]) ).
tcf(c_34542,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ~ ssList(nil)
| ~ ssList(skaf47(X0,X1))
| ~ frontsegP(nil,skaf47(X0,X1)) ),
inference(superposition,[status(thm)],[c_34488,c_376]) ).
tcf(c_34543,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ~ frontsegP(nil,skaf47(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34542,c_255,c_296]) ).
tcf(c_34546,plain,
! [X0: $i,X1: $i] : app(nil,skaf45(skaf47(X0,X1),nil)) = skaf47(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_34541,c_255,c_296]) ).
tcf(c_34551,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(skaf47(X0,X1),skaf47(X0,X1)),skaf47(X0,X1)) = skaf47(X0,X1) )
| ~ ssList(skaf47(X0,X1)) ),
inference(superposition,[status(thm)],[c_34489,c_378]) ).
tcf(c_34553,plain,
! [X0: $i,X1: $i] : app(skaf46(skaf47(X0,X1),skaf47(X0,X1)),skaf47(X0,X1)) = skaf47(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_34551,c_296]) ).
tcf(c_34555,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf76(X0))))
| ( cons(sk5,skaf76(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf76(X0)))
| ~ ssList(cons(sk5,skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10657,c_407]) ).
tcf(c_34556,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf76(X0))))
| ( cons(sk5,skaf76(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf76(X0)))
| ~ ssList(cons(sk5,skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10657,c_406]) ).
tcf(c_34572,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf75(X0))))
| ( cons(sk5,skaf75(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf75(X0)))
| ~ ssList(cons(sk5,skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10658,c_407]) ).
tcf(c_34573,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf75(X0))))
| ( cons(sk5,skaf75(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf75(X0)))
| ~ ssList(cons(sk5,skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10658,c_406]) ).
tcf(c_34608,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf73(X0))))
| ( cons(sk5,skaf73(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf73(X0)))
| ~ ssList(cons(sk5,skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10659,c_407]) ).
tcf(c_34609,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf73(X0))))
| ( cons(sk5,skaf73(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf73(X0)))
| ~ ssList(cons(sk5,skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10659,c_406]) ).
tcf(c_34631,plain,
( ( skaf45(iPr_def_16,sk7) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( iPr_def_13 != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29639,c_26416]) ).
tcf(c_34633,plain,
( ( skaf45(iPr_def_16,sk7) = nil )
| ~ ssList(nil)
| ( sk7 != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9102,c_26416]) ).
tcf(c_34634,plain,
( ( skaf45(iPr_def_15,sk7) = skaf45(iPr_def_16,sk7) )
| ~ ssList(skaf45(iPr_def_15,sk7))
| ( iPr_def_15 != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_24730,c_26416]) ).
tcf(c_34668,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf46(X0,X1),X2),skaf46(X0,X1))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf46(X0,X1))
| ~ ssList(app(app(nil,skaf46(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_9223,c_420]) ).
tcf(c_34669,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf46(X1,X2))
| ( app(X0,skaf46(X1,X2)) != skaf46(X1,X2) ) ),
inference(superposition,[status(thm)],[c_9223,c_398]) ).
tcf(c_34674,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf46(X0,X1),nil)
| ~ ssList(nil)
| ~ ssList(skaf46(X0,X1)) ),
inference(superposition,[status(thm)],[c_9223,c_808]) ).
tcf(c_34675,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf46(X0,X1),skaf46(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf46(X0,X1)) ),
inference(superposition,[status(thm)],[c_9223,c_807]) ).
tcf(c_34678,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf46(X0,X1) = X2 )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf46(X0,X1))
| ( skaf46(X0,X1) != app(nil,X2) ) ),
inference(superposition,[status(thm)],[c_9223,c_397]) ).
tcf(c_34680,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf46(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf46(X0,X1)) ),
inference(superposition,[status(thm)],[c_9223,c_384]) ).
tcf(c_34681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf46(X0,X1),X3),X2)
| ~ ssList(nil)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(skaf46(X0,X1))
| ~ segmentP(skaf46(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_9223,c_419]) ).
tcf(c_34682,plain,
! [X0: $i,X1: $i] : frontsegP(skaf46(X0,X1),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_34674,c_255,c_297]) ).
tcf(c_34683,plain,
! [X0: $i,X1: $i] : rearsegP(skaf46(X0,X1),skaf46(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_34675,c_255,c_297]) ).
tcf(c_34684,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf46(X1,X2),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34680,c_255,c_297]) ).
tcf(c_34688,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf46(X0,X1) = X2 )
| ~ ssList(X2)
| ( skaf46(X0,X1) != app(nil,X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34678,c_255,c_297]) ).
tcf(c_34692,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf46(X1,X2)) != skaf46(X1,X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34669,c_255,c_297]) ).
tcf(c_34696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf46(X0,X1),X3),X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(skaf46(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34681,c_255,c_297]) ).
tcf(c_34701,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf46(X0,X1),X2),skaf46(X0,X1))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf46(X0,X1))
| ~ ssList(app(skaf46(X0,X1),X2)) ),
inference(light_normalisation,[status(thm)],[c_34668,c_9223]) ).
tcf(c_34702,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf46(X0,X1),X2),skaf46(X0,X1))
| ~ ssList(X2)
| ~ ssList(app(skaf46(X0,X1),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34701,c_255,c_297]) ).
tcf(c_34717,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf46(X1,X2))
| ~ frontsegP(X0,skaf46(X1,X2)) ),
inference(superposition,[status(thm)],[c_34682,c_401]) ).
tcf(c_34718,plain,
! [X0: $i,X1: $i] :
( ( app(nil,skaf45(skaf46(X0,X1),nil)) = skaf46(X0,X1) )
| ~ ssList(nil)
| ~ ssList(skaf46(X0,X1)) ),
inference(superposition,[status(thm)],[c_34682,c_379]) ).
tcf(c_34719,plain,
! [X0: $i,X1: $i] :
( ( skaf46(X0,X1) = nil )
| ~ ssList(nil)
| ~ ssList(skaf46(X0,X1))
| ~ frontsegP(nil,skaf46(X0,X1)) ),
inference(superposition,[status(thm)],[c_34682,c_376]) ).
tcf(c_34723,plain,
! [X0: $i,X1: $i] :
( ( skaf46(X0,X1) = nil )
| ~ frontsegP(nil,skaf46(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34719,c_255,c_297]) ).
tcf(c_34726,plain,
! [X0: $i,X1: $i] : app(nil,skaf45(skaf46(X0,X1),nil)) = skaf46(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_34718,c_255,c_297]) ).
tcf(c_34745,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(skaf46(X0,X1),skaf46(X0,X1)),skaf46(X0,X1)) = skaf46(X0,X1) )
| ~ ssList(skaf46(X0,X1)) ),
inference(superposition,[status(thm)],[c_34683,c_378]) ).
tcf(c_34747,plain,
! [X0: $i,X1: $i] : app(skaf46(skaf46(X0,X1),skaf46(X0,X1)),skaf46(X0,X1)) = skaf46(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_34745,c_297]) ).
tcf(c_34749,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf72(X0))))
| ( cons(sk5,skaf72(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf72(X0)))
| ~ ssList(cons(sk5,skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10660,c_407]) ).
tcf(c_34750,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf72(X0))))
| ( cons(sk5,skaf72(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf72(X0)))
| ~ ssList(cons(sk5,skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10660,c_406]) ).
tcf(c_34766,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf71(X0))))
| ( cons(sk5,skaf71(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf71(X0)))
| ~ ssList(cons(sk5,skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10661,c_407]) ).
tcf(c_34767,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf71(X0))))
| ( cons(sk5,skaf71(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf71(X0)))
| ~ ssList(cons(sk5,skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10661,c_406]) ).
tcf(c_34802,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf68(X0))))
| ( cons(sk5,skaf68(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf68(X0)))
| ~ ssList(cons(sk5,skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10662,c_407]) ).
tcf(c_34803,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf68(X0))))
| ( cons(sk5,skaf68(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf68(X0)))
| ~ ssList(cons(sk5,skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10662,c_406]) ).
tcf(c_34819,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf67(X0))))
| ( cons(sk5,skaf67(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf67(X0)))
| ~ ssList(cons(sk5,skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10663,c_407]) ).
tcf(c_34820,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf67(X0))))
| ( cons(sk5,skaf67(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf67(X0)))
| ~ ssList(cons(sk5,skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10663,c_406]) ).
tcf(c_34836,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf66(X0))))
| ( cons(sk5,skaf66(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf66(X0)))
| ~ ssList(cons(sk5,skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10664,c_407]) ).
tcf(c_34837,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf66(X0))))
| ( cons(sk5,skaf66(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf66(X0)))
| ~ ssList(cons(sk5,skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10664,c_406]) ).
tcf(c_34853,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf63(X0))))
| ( cons(sk5,skaf63(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf63(X0)))
| ~ ssList(cons(sk5,skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10665,c_407]) ).
tcf(c_34854,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf63(X0))))
| ( cons(sk5,skaf63(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf63(X0)))
| ~ ssList(cons(sk5,skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10665,c_406]) ).
tcf(c_34876,plain,
( ( sk4 = nil )
| ( app(tl(sk4),sk4) = tl(app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_6486,c_14609]) ).
tcf(c_34877,plain,
( ( sk4 = nil )
| ( app(tl(sk4),sk7) = tl(app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_6483,c_14609]) ).
tcf(c_34878,plain,
( ( sk4 = nil )
| ( app(tl(sk4),sk8) = tl(app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_6482,c_14609]) ).
tcf(c_34879,plain,
( ( sk4 = nil )
| ( app(tl(sk4),nil) = tl(app(sk4,nil)) ) ),
inference(superposition,[status(thm)],[c_255,c_14609]) ).
tcf(c_34880,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf82(X0)) = tl(app(sk4,skaf82(X0))) ) ),
inference(superposition,[status(thm)],[c_260,c_14609]) ).
tcf(c_34881,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf81(X0)) = tl(app(sk4,skaf81(X0))) ) ),
inference(superposition,[status(thm)],[c_261,c_14609]) ).
tcf(c_34882,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf80(X0)) = tl(app(sk4,skaf80(X0))) ) ),
inference(superposition,[status(thm)],[c_262,c_14609]) ).
tcf(c_34883,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf77(X0)) = tl(app(sk4,skaf77(X0))) ) ),
inference(superposition,[status(thm)],[c_265,c_14609]) ).
tcf(c_34884,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf76(X0)) = tl(app(sk4,skaf76(X0))) ) ),
inference(superposition,[status(thm)],[c_266,c_14609]) ).
tcf(c_34885,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf75(X0)) = tl(app(sk4,skaf75(X0))) ) ),
inference(superposition,[status(thm)],[c_267,c_14609]) ).
tcf(c_34886,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf73(X0)) = tl(app(sk4,skaf73(X0))) ) ),
inference(superposition,[status(thm)],[c_269,c_14609]) ).
tcf(c_34887,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf72(X0)) = tl(app(sk4,skaf72(X0))) ) ),
inference(superposition,[status(thm)],[c_270,c_14609]) ).
tcf(c_34888,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf71(X0)) = tl(app(sk4,skaf71(X0))) ) ),
inference(superposition,[status(thm)],[c_271,c_14609]) ).
tcf(c_34889,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf68(X0)) = tl(app(sk4,skaf68(X0))) ) ),
inference(superposition,[status(thm)],[c_274,c_14609]) ).
tcf(c_34890,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf67(X0)) = tl(app(sk4,skaf67(X0))) ) ),
inference(superposition,[status(thm)],[c_275,c_14609]) ).
tcf(c_34891,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf66(X0)) = tl(app(sk4,skaf66(X0))) ) ),
inference(superposition,[status(thm)],[c_276,c_14609]) ).
tcf(c_34892,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf63(X0)) = tl(app(sk4,skaf63(X0))) ) ),
inference(superposition,[status(thm)],[c_279,c_14609]) ).
tcf(c_34893,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf62(X0)) = tl(app(sk4,skaf62(X0))) ) ),
inference(superposition,[status(thm)],[c_280,c_14609]) ).
tcf(c_34894,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf61(X0)) = tl(app(sk4,skaf61(X0))) ) ),
inference(superposition,[status(thm)],[c_281,c_14609]) ).
tcf(c_34895,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf58(X0)) = tl(app(sk4,skaf58(X0))) ) ),
inference(superposition,[status(thm)],[c_284,c_14609]) ).
tcf(c_34896,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf57(X0)) = tl(app(sk4,skaf57(X0))) ) ),
inference(superposition,[status(thm)],[c_285,c_14609]) ).
tcf(c_34897,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf56(X0)) = tl(app(sk4,skaf56(X0))) ) ),
inference(superposition,[status(thm)],[c_286,c_14609]) ).
tcf(c_34898,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf53(X0)) = tl(app(sk4,skaf53(X0))) ) ),
inference(superposition,[status(thm)],[c_289,c_14609]) ).
tcf(c_34899,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf52(X0)) = tl(app(sk4,skaf52(X0))) ) ),
inference(superposition,[status(thm)],[c_290,c_14609]) ).
tcf(c_34900,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf51(X0)) = tl(app(sk4,skaf51(X0))) ) ),
inference(superposition,[status(thm)],[c_291,c_14609]) ).
tcf(c_34901,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf48(X0,X1)) = tl(app(sk4,skaf48(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_295,c_14609]) ).
tcf(c_34902,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf47(X0,X1)) = tl(app(sk4,skaf47(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_296,c_14609]) ).
tcf(c_34903,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf46(X0,X1)) = tl(app(sk4,skaf46(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_297,c_14609]) ).
tcf(c_34904,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf45(X0,X1)) = tl(app(sk4,skaf45(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_298,c_14609]) ).
tcf(c_34905,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf43(X0,X1)) = tl(app(sk4,skaf43(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_299,c_14609]) ).
tcf(c_34906,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),skaf42(X0,X1)) = tl(app(sk4,skaf42(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_300,c_14609]) ).
tcf(c_34907,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( X0 = nil )
| ( app(tl(sk4),tl(X0)) = tl(app(sk4,tl(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_14609]) ).
tcf(c_34908,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),app(X1,X0)) = tl(app(sk4,app(X1,X0))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_14609]) ).
tcf(c_34909,plain,
! [X0: $i,X1: $i] :
( ( sk4 = nil )
| ( app(tl(sk4),cons(X1,X0)) = tl(app(sk4,cons(X1,X0))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_14609]) ).
tcf(c_34910,plain,
( ( sk4 = nil )
| ( app(tl(sk4),iPr_def_16) = tl(app(sk4,iPr_def_16)) ) ),
inference(superposition,[status(thm)],[c_9020,c_14609]) ).
tcf(c_34911,plain,
( ( sk4 = nil )
| ( app(tl(sk4),iPr_def_13) = tl(app(sk4,iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_9527,c_14609]) ).
tcf(c_34912,plain,
( ( sk4 = nil )
| ( app(tl(sk4),iPr_def_12) = tl(app(sk4,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_9489,c_14609]) ).
tcf(c_34913,plain,
( ( sk4 = nil )
| ( app(tl(sk4),iPr_def_15) = tl(app(sk4,iPr_def_15)) ) ),
inference(superposition,[status(thm)],[c_24748,c_14609]) ).
tcf(c_34914,plain,
( ( sk4 = nil )
| ( app(tl(sk4),iPr_def_14) = tl(app(sk4,iPr_def_14)) ) ),
inference(superposition,[status(thm)],[c_9488,c_14609]) ).
tcf(c_34915,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk6,sk4)) = tl(app(sk4,cons(sk6,sk4))) ) ),
inference(superposition,[status(thm)],[c_28942,c_14609]) ).
tcf(c_34916,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk6,sk7)) = tl(app(sk4,cons(sk6,sk7))) ) ),
inference(superposition,[status(thm)],[c_28940,c_14609]) ).
tcf(c_34917,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk6,sk8)) = tl(app(sk4,cons(sk6,sk8))) ) ),
inference(superposition,[status(thm)],[c_28938,c_14609]) ).
tcf(c_34928,plain,
( ( sk4 = nil )
| ( app(tl(sk4),nil) = tl(sk4) ) ),
inference(light_normalisation,[status(thm)],[c_34879,c_9101]) ).
tcf(c_35099,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( X0 = nil )
| ( app(sk4,sk4) = nil )
| ( app(sk4,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ( hd(app(sk4,sk4)) != hd(X0) )
| ( app(tl(sk4),sk4) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_34876,c_424]) ).
tcf(c_35101,plain,
( ssList(app(tl(sk4),sk4))
| ( sk4 = nil )
| ( app(sk4,sk4) = nil )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_34876,c_324]) ).
tcf(c_35118,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( X0 = nil )
| ( app(sk4,sk7) = nil )
| ( app(sk4,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ( hd(app(sk4,sk7)) != hd(X0) )
| ( app(tl(sk4),sk7) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_34877,c_424]) ).
tcf(c_35120,plain,
( ssList(app(tl(sk4),sk7))
| ( sk4 = nil )
| ( app(sk4,sk7) = nil )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_34877,c_324]) ).
tcf(c_35156,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( X0 = nil )
| ( app(sk4,sk8) = nil )
| ( app(sk4,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ( hd(app(sk4,sk8)) != hd(X0) )
| ( app(tl(sk4),sk8) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_34878,c_424]) ).
tcf(c_35158,plain,
( ssList(app(tl(sk4),sk8))
| ( sk4 = nil )
| ( app(sk4,sk8) = nil )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_34878,c_324]) ).
tcf(c_35177,plain,
( ( sk7 = nil )
| ( app(tl(sk7),sk4) = tl(app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_6486,c_14610]) ).
tcf(c_35178,plain,
( ( sk7 = nil )
| ( app(tl(sk7),sk7) = tl(app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_6483,c_14610]) ).
tcf(c_35179,plain,
( ( sk7 = nil )
| ( app(tl(sk7),sk8) = tl(app(sk7,sk8)) ) ),
inference(superposition,[status(thm)],[c_6482,c_14610]) ).
tcf(c_35180,plain,
( ( sk7 = nil )
| ( app(tl(sk7),nil) = tl(app(sk7,nil)) ) ),
inference(superposition,[status(thm)],[c_255,c_14610]) ).
tcf(c_35181,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf82(X0)) = tl(app(sk7,skaf82(X0))) ) ),
inference(superposition,[status(thm)],[c_260,c_14610]) ).
tcf(c_35182,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf81(X0)) = tl(app(sk7,skaf81(X0))) ) ),
inference(superposition,[status(thm)],[c_261,c_14610]) ).
tcf(c_35183,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf80(X0)) = tl(app(sk7,skaf80(X0))) ) ),
inference(superposition,[status(thm)],[c_262,c_14610]) ).
tcf(c_35184,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf77(X0)) = tl(app(sk7,skaf77(X0))) ) ),
inference(superposition,[status(thm)],[c_265,c_14610]) ).
tcf(c_35185,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf76(X0)) = tl(app(sk7,skaf76(X0))) ) ),
inference(superposition,[status(thm)],[c_266,c_14610]) ).
tcf(c_35186,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf75(X0)) = tl(app(sk7,skaf75(X0))) ) ),
inference(superposition,[status(thm)],[c_267,c_14610]) ).
tcf(c_35187,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf73(X0)) = tl(app(sk7,skaf73(X0))) ) ),
inference(superposition,[status(thm)],[c_269,c_14610]) ).
tcf(c_35188,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf72(X0)) = tl(app(sk7,skaf72(X0))) ) ),
inference(superposition,[status(thm)],[c_270,c_14610]) ).
tcf(c_35189,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf71(X0)) = tl(app(sk7,skaf71(X0))) ) ),
inference(superposition,[status(thm)],[c_271,c_14610]) ).
tcf(c_35190,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf68(X0)) = tl(app(sk7,skaf68(X0))) ) ),
inference(superposition,[status(thm)],[c_274,c_14610]) ).
tcf(c_35191,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf67(X0)) = tl(app(sk7,skaf67(X0))) ) ),
inference(superposition,[status(thm)],[c_275,c_14610]) ).
tcf(c_35192,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf66(X0)) = tl(app(sk7,skaf66(X0))) ) ),
inference(superposition,[status(thm)],[c_276,c_14610]) ).
tcf(c_35193,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf63(X0)) = tl(app(sk7,skaf63(X0))) ) ),
inference(superposition,[status(thm)],[c_279,c_14610]) ).
tcf(c_35194,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf62(X0)) = tl(app(sk7,skaf62(X0))) ) ),
inference(superposition,[status(thm)],[c_280,c_14610]) ).
tcf(c_35195,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf61(X0)) = tl(app(sk7,skaf61(X0))) ) ),
inference(superposition,[status(thm)],[c_281,c_14610]) ).
tcf(c_35196,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf58(X0)) = tl(app(sk7,skaf58(X0))) ) ),
inference(superposition,[status(thm)],[c_284,c_14610]) ).
tcf(c_35197,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf57(X0)) = tl(app(sk7,skaf57(X0))) ) ),
inference(superposition,[status(thm)],[c_285,c_14610]) ).
tcf(c_35198,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf56(X0)) = tl(app(sk7,skaf56(X0))) ) ),
inference(superposition,[status(thm)],[c_286,c_14610]) ).
tcf(c_35199,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf53(X0)) = tl(app(sk7,skaf53(X0))) ) ),
inference(superposition,[status(thm)],[c_289,c_14610]) ).
tcf(c_35200,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf52(X0)) = tl(app(sk7,skaf52(X0))) ) ),
inference(superposition,[status(thm)],[c_290,c_14610]) ).
tcf(c_35201,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf51(X0)) = tl(app(sk7,skaf51(X0))) ) ),
inference(superposition,[status(thm)],[c_291,c_14610]) ).
tcf(c_35202,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf48(X0,X1)) = tl(app(sk7,skaf48(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_295,c_14610]) ).
tcf(c_35203,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf47(X0,X1)) = tl(app(sk7,skaf47(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_296,c_14610]) ).
tcf(c_35204,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf46(X0,X1)) = tl(app(sk7,skaf46(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_297,c_14610]) ).
tcf(c_35205,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf45(X0,X1)) = tl(app(sk7,skaf45(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_298,c_14610]) ).
tcf(c_35206,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf43(X0,X1)) = tl(app(sk7,skaf43(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_299,c_14610]) ).
tcf(c_35207,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),skaf42(X0,X1)) = tl(app(sk7,skaf42(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_300,c_14610]) ).
tcf(c_35208,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( X0 = nil )
| ( app(tl(sk7),tl(X0)) = tl(app(sk7,tl(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_14610]) ).
tcf(c_35209,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),app(X1,X0)) = tl(app(sk7,app(X1,X0))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_14610]) ).
tcf(c_35210,plain,
! [X0: $i,X1: $i] :
( ( sk7 = nil )
| ( app(tl(sk7),cons(X1,X0)) = tl(app(sk7,cons(X1,X0))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_14610]) ).
tcf(c_35211,plain,
( ( sk7 = nil )
| ( app(tl(sk7),iPr_def_16) = tl(app(sk7,iPr_def_16)) ) ),
inference(superposition,[status(thm)],[c_9020,c_14610]) ).
tcf(c_35212,plain,
( ( sk7 = nil )
| ( app(tl(sk7),iPr_def_13) = tl(app(sk7,iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_9527,c_14610]) ).
tcf(c_35213,plain,
( ( sk7 = nil )
| ( app(tl(sk7),iPr_def_12) = tl(app(sk7,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_9489,c_14610]) ).
tcf(c_35214,plain,
( ( sk7 = nil )
| ( app(tl(sk7),iPr_def_15) = tl(app(sk7,iPr_def_15)) ) ),
inference(superposition,[status(thm)],[c_24748,c_14610]) ).
tcf(c_35215,plain,
( ( sk7 = nil )
| ( app(tl(sk7),iPr_def_14) = tl(app(sk7,iPr_def_14)) ) ),
inference(superposition,[status(thm)],[c_9488,c_14610]) ).
tcf(c_35216,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk6,sk4)) = tl(app(sk7,cons(sk6,sk4))) ) ),
inference(superposition,[status(thm)],[c_28942,c_14610]) ).
tcf(c_35217,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk6,sk7)) = tl(app(sk7,cons(sk6,sk7))) ) ),
inference(superposition,[status(thm)],[c_28940,c_14610]) ).
tcf(c_35218,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk6,sk8)) = tl(app(sk7,cons(sk6,sk8))) ) ),
inference(superposition,[status(thm)],[c_28938,c_14610]) ).
tcf(c_35223,plain,
( ( sk7 = nil )
| ( app(tl(sk7),iPr_def_12) = tl(iPr_def_13) ) ),
inference(light_normalisation,[status(thm)],[c_35213,c_29639]) ).
tcf(c_35230,plain,
( ( sk7 = nil )
| ( app(tl(sk7),nil) = tl(sk7) ) ),
inference(light_normalisation,[status(thm)],[c_35180,c_9102]) ).
tcf(c_35498,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( X0 = nil )
| ( app(sk7,sk4) = nil )
| ( app(sk7,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ( hd(app(sk7,sk4)) != hd(X0) )
| ( app(tl(sk7),sk4) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_35177,c_424]) ).
tcf(c_35500,plain,
( ssList(app(tl(sk7),sk4))
| ( sk7 = nil )
| ( app(sk7,sk4) = nil )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_35177,c_324]) ).
tcf(c_35517,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( X0 = nil )
| ( app(sk7,sk7) = nil )
| ( app(sk7,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ( hd(app(sk7,sk7)) != hd(X0) )
| ( app(tl(sk7),sk7) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_35178,c_424]) ).
tcf(c_35519,plain,
( ssList(app(tl(sk7),sk7))
| ( sk7 = nil )
| ( app(sk7,sk7) = nil )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_35178,c_324]) ).
tcf(c_35536,plain,
! [X0: $i] :
( ( sk7 = nil )
| ( X0 = nil )
| ( app(sk7,sk8) = nil )
| ( app(sk7,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ( hd(app(sk7,sk8)) != hd(X0) )
| ( app(tl(sk7),sk8) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_35179,c_424]) ).
tcf(c_35538,plain,
( ssList(app(tl(sk7),sk8))
| ( sk7 = nil )
| ( app(sk7,sk8) = nil )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_35179,c_324]) ).
tcf(c_35582,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf45(X0,X1),X2),skaf45(X0,X1))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf45(X0,X1))
| ~ ssList(app(app(nil,skaf45(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_9224,c_420]) ).
tcf(c_35583,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf45(X1,X2))
| ( app(X0,skaf45(X1,X2)) != skaf45(X1,X2) ) ),
inference(superposition,[status(thm)],[c_9224,c_398]) ).
tcf(c_35588,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf45(X0,X1),nil)
| ~ ssList(nil)
| ~ ssList(skaf45(X0,X1)) ),
inference(superposition,[status(thm)],[c_9224,c_808]) ).
tcf(c_35589,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf45(X0,X1),skaf45(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf45(X0,X1)) ),
inference(superposition,[status(thm)],[c_9224,c_807]) ).
tcf(c_35592,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf45(X0,X1) = X2 )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf45(X0,X1))
| ( skaf45(X0,X1) != app(nil,X2) ) ),
inference(superposition,[status(thm)],[c_9224,c_397]) ).
tcf(c_35594,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf45(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf45(X0,X1)) ),
inference(superposition,[status(thm)],[c_9224,c_384]) ).
tcf(c_35595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf45(X0,X1),X3),X2)
| ~ ssList(nil)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(skaf45(X0,X1))
| ~ segmentP(skaf45(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_9224,c_419]) ).
tcf(c_35596,plain,
( ( sk7 = nil )
| ~ ssList(nil)
| ( skaf45(iPr_def_15,sk7) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9224,c_24775]) ).
tcf(c_35597,plain,
( ( sk7 = nil )
| ~ ssList(nil)
| ( skaf45(iPr_def_16,sk7) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9224,c_26420]) ).
tcf(c_35598,plain,
! [X0: $i,X1: $i] : frontsegP(skaf45(X0,X1),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_35588,c_255,c_298]) ).
tcf(c_35599,plain,
( ( sk7 = nil )
| ( skaf45(iPr_def_16,sk7) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35597,c_255]) ).
tcf(c_35602,plain,
( ( sk7 = nil )
| ( skaf45(iPr_def_15,sk7) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35596,c_255]) ).
tcf(c_35605,plain,
! [X0: $i,X1: $i] : rearsegP(skaf45(X0,X1),skaf45(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_35589,c_255,c_298]) ).
tcf(c_35606,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf45(X1,X2),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35594,c_255,c_298]) ).
tcf(c_35610,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf45(X0,X1) = X2 )
| ~ ssList(X2)
| ( skaf45(X0,X1) != app(nil,X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35592,c_255,c_298]) ).
tcf(c_35614,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf45(X1,X2)) != skaf45(X1,X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35583,c_255,c_298]) ).
tcf(c_35618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf45(X0,X1),X3),X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(skaf45(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35595,c_255,c_298]) ).
tcf(c_35623,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf45(X0,X1),X2),skaf45(X0,X1))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf45(X0,X1))
| ~ ssList(app(skaf45(X0,X1),X2)) ),
inference(light_normalisation,[status(thm)],[c_35582,c_9224]) ).
tcf(c_35624,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf45(X0,X1),X2),skaf45(X0,X1))
| ~ ssList(X2)
| ~ ssList(app(skaf45(X0,X1),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35623,c_255,c_298]) ).
tcf(c_35639,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf45(X1,X2))
| ~ frontsegP(X0,skaf45(X1,X2)) ),
inference(superposition,[status(thm)],[c_35598,c_401]) ).
tcf(c_35640,plain,
! [X0: $i,X1: $i] :
( ( app(nil,skaf45(skaf45(X0,X1),nil)) = skaf45(X0,X1) )
| ~ ssList(nil)
| ~ ssList(skaf45(X0,X1)) ),
inference(superposition,[status(thm)],[c_35598,c_379]) ).
tcf(c_35641,plain,
! [X0: $i,X1: $i] :
( ( skaf45(X0,X1) = nil )
| ~ ssList(nil)
| ~ ssList(skaf45(X0,X1))
| ~ frontsegP(nil,skaf45(X0,X1)) ),
inference(superposition,[status(thm)],[c_35598,c_376]) ).
tcf(c_35642,plain,
! [X0: $i,X1: $i] :
( ( skaf45(X0,X1) = nil )
| ~ frontsegP(nil,skaf45(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35641,c_255,c_298]) ).
tcf(c_35645,plain,
! [X0: $i,X1: $i] : app(nil,skaf45(skaf45(X0,X1),nil)) = skaf45(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_35640,c_255,c_298]) ).
tcf(c_35664,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(skaf45(X0,X1),skaf45(X0,X1)),skaf45(X0,X1)) = skaf45(X0,X1) )
| ~ ssList(skaf45(X0,X1)) ),
inference(superposition,[status(thm)],[c_35605,c_378]) ).
tcf(c_35668,plain,
! [X0: $i,X1: $i] : app(skaf46(skaf45(X0,X1),skaf45(X0,X1)),skaf45(X0,X1)) = skaf45(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_35664,c_298]) ).
tcf(c_35670,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf62(X0))))
| ( cons(sk5,skaf62(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf62(X0)))
| ~ ssList(cons(sk5,skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10666,c_407]) ).
tcf(c_35671,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf62(X0))))
| ( cons(sk5,skaf62(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf62(X0)))
| ~ ssList(cons(sk5,skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10666,c_406]) ).
tcf(c_35687,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf61(X0))))
| ( cons(sk5,skaf61(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf61(X0)))
| ~ ssList(cons(sk5,skaf61(X0))) ),
inference(superposition,[status(thm)],[c_10667,c_407]) ).
tcf(c_35688,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf61(X0))))
| ( cons(sk5,skaf61(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf61(X0)))
| ~ ssList(cons(sk5,skaf61(X0))) ),
inference(superposition,[status(thm)],[c_10667,c_406]) ).
tcf(c_35746,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf58(X0))))
| ( cons(sk5,skaf58(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf58(X0)))
| ~ ssList(cons(sk5,skaf58(X0))) ),
inference(superposition,[status(thm)],[c_10668,c_407]) ).
tcf(c_35747,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf58(X0))))
| ( cons(sk5,skaf58(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf58(X0)))
| ~ ssList(cons(sk5,skaf58(X0))) ),
inference(superposition,[status(thm)],[c_10668,c_406]) ).
tcf(c_35763,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf57(X0))))
| ( cons(sk5,skaf57(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf57(X0)))
| ~ ssList(cons(sk5,skaf57(X0))) ),
inference(superposition,[status(thm)],[c_10669,c_407]) ).
tcf(c_35764,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf57(X0))))
| ( cons(sk5,skaf57(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf57(X0)))
| ~ ssList(cons(sk5,skaf57(X0))) ),
inference(superposition,[status(thm)],[c_10669,c_406]) ).
tcf(c_35780,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf56(X0))))
| ( cons(sk5,skaf56(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf56(X0)))
| ~ ssList(cons(sk5,skaf56(X0))) ),
inference(superposition,[status(thm)],[c_10670,c_407]) ).
tcf(c_35781,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf56(X0))))
| ( cons(sk5,skaf56(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf56(X0)))
| ~ ssList(cons(sk5,skaf56(X0))) ),
inference(superposition,[status(thm)],[c_10670,c_406]) ).
tcf(c_35797,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf53(X0))))
| ( cons(sk5,skaf53(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf53(X0)))
| ~ ssList(cons(sk5,skaf53(X0))) ),
inference(superposition,[status(thm)],[c_10671,c_407]) ).
tcf(c_35798,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf53(X0))))
| ( cons(sk5,skaf53(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf53(X0)))
| ~ ssList(cons(sk5,skaf53(X0))) ),
inference(superposition,[status(thm)],[c_10671,c_406]) ).
tcf(c_35820,plain,
( ( sk8 = nil )
| ( app(tl(sk8),sk4) = tl(app(sk8,sk4)) ) ),
inference(superposition,[status(thm)],[c_6486,c_14611]) ).
tcf(c_35821,plain,
( ( sk8 = nil )
| ( app(tl(sk8),sk7) = tl(app(sk8,sk7)) ) ),
inference(superposition,[status(thm)],[c_6483,c_14611]) ).
tcf(c_35822,plain,
( ( sk8 = nil )
| ( app(tl(sk8),sk8) = tl(app(sk8,sk8)) ) ),
inference(superposition,[status(thm)],[c_6482,c_14611]) ).
tcf(c_35823,plain,
( ( sk8 = nil )
| ( app(tl(sk8),nil) = tl(app(sk8,nil)) ) ),
inference(superposition,[status(thm)],[c_255,c_14611]) ).
tcf(c_35824,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf82(X0)) = tl(app(sk8,skaf82(X0))) ) ),
inference(superposition,[status(thm)],[c_260,c_14611]) ).
tcf(c_35825,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf81(X0)) = tl(app(sk8,skaf81(X0))) ) ),
inference(superposition,[status(thm)],[c_261,c_14611]) ).
tcf(c_35826,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf80(X0)) = tl(app(sk8,skaf80(X0))) ) ),
inference(superposition,[status(thm)],[c_262,c_14611]) ).
tcf(c_35827,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf77(X0)) = tl(app(sk8,skaf77(X0))) ) ),
inference(superposition,[status(thm)],[c_265,c_14611]) ).
tcf(c_35828,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf76(X0)) = tl(app(sk8,skaf76(X0))) ) ),
inference(superposition,[status(thm)],[c_266,c_14611]) ).
tcf(c_35829,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf75(X0)) = tl(app(sk8,skaf75(X0))) ) ),
inference(superposition,[status(thm)],[c_267,c_14611]) ).
tcf(c_35830,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf73(X0)) = tl(app(sk8,skaf73(X0))) ) ),
inference(superposition,[status(thm)],[c_269,c_14611]) ).
tcf(c_35831,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf72(X0)) = tl(app(sk8,skaf72(X0))) ) ),
inference(superposition,[status(thm)],[c_270,c_14611]) ).
tcf(c_35832,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf71(X0)) = tl(app(sk8,skaf71(X0))) ) ),
inference(superposition,[status(thm)],[c_271,c_14611]) ).
tcf(c_35833,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf68(X0)) = tl(app(sk8,skaf68(X0))) ) ),
inference(superposition,[status(thm)],[c_274,c_14611]) ).
tcf(c_35834,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf67(X0)) = tl(app(sk8,skaf67(X0))) ) ),
inference(superposition,[status(thm)],[c_275,c_14611]) ).
tcf(c_35835,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf66(X0)) = tl(app(sk8,skaf66(X0))) ) ),
inference(superposition,[status(thm)],[c_276,c_14611]) ).
tcf(c_35836,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf63(X0)) = tl(app(sk8,skaf63(X0))) ) ),
inference(superposition,[status(thm)],[c_279,c_14611]) ).
tcf(c_35837,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf62(X0)) = tl(app(sk8,skaf62(X0))) ) ),
inference(superposition,[status(thm)],[c_280,c_14611]) ).
tcf(c_35838,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf61(X0)) = tl(app(sk8,skaf61(X0))) ) ),
inference(superposition,[status(thm)],[c_281,c_14611]) ).
tcf(c_35839,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf58(X0)) = tl(app(sk8,skaf58(X0))) ) ),
inference(superposition,[status(thm)],[c_284,c_14611]) ).
tcf(c_35840,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf57(X0)) = tl(app(sk8,skaf57(X0))) ) ),
inference(superposition,[status(thm)],[c_285,c_14611]) ).
tcf(c_35841,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf56(X0)) = tl(app(sk8,skaf56(X0))) ) ),
inference(superposition,[status(thm)],[c_286,c_14611]) ).
tcf(c_35842,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf53(X0)) = tl(app(sk8,skaf53(X0))) ) ),
inference(superposition,[status(thm)],[c_289,c_14611]) ).
tcf(c_35843,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf52(X0)) = tl(app(sk8,skaf52(X0))) ) ),
inference(superposition,[status(thm)],[c_290,c_14611]) ).
tcf(c_35844,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf51(X0)) = tl(app(sk8,skaf51(X0))) ) ),
inference(superposition,[status(thm)],[c_291,c_14611]) ).
tcf(c_35845,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf48(X0,X1)) = tl(app(sk8,skaf48(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_295,c_14611]) ).
tcf(c_35846,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf47(X0,X1)) = tl(app(sk8,skaf47(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_296,c_14611]) ).
tcf(c_35847,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf46(X0,X1)) = tl(app(sk8,skaf46(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_297,c_14611]) ).
tcf(c_35848,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf45(X0,X1)) = tl(app(sk8,skaf45(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_298,c_14611]) ).
tcf(c_35849,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf43(X0,X1)) = tl(app(sk8,skaf43(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_299,c_14611]) ).
tcf(c_35850,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),skaf42(X0,X1)) = tl(app(sk8,skaf42(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_300,c_14611]) ).
tcf(c_35851,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( X0 = nil )
| ( app(tl(sk8),tl(X0)) = tl(app(sk8,tl(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_14611]) ).
tcf(c_35852,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),app(X1,X0)) = tl(app(sk8,app(X1,X0))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_14611]) ).
tcf(c_35853,plain,
! [X0: $i,X1: $i] :
( ( sk8 = nil )
| ( app(tl(sk8),cons(X1,X0)) = tl(app(sk8,cons(X1,X0))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_14611]) ).
tcf(c_35854,plain,
( ( sk8 = nil )
| ( app(tl(sk8),iPr_def_16) = tl(app(sk8,iPr_def_16)) ) ),
inference(superposition,[status(thm)],[c_9020,c_14611]) ).
tcf(c_35855,plain,
( ( sk8 = nil )
| ( app(tl(sk8),iPr_def_13) = tl(app(sk8,iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_9527,c_14611]) ).
tcf(c_35856,plain,
( ( sk8 = nil )
| ( app(tl(sk8),iPr_def_12) = tl(app(sk8,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_9489,c_14611]) ).
tcf(c_35857,plain,
( ( sk8 = nil )
| ( app(tl(sk8),iPr_def_15) = tl(app(sk8,iPr_def_15)) ) ),
inference(superposition,[status(thm)],[c_24748,c_14611]) ).
tcf(c_35858,plain,
( ( sk8 = nil )
| ( app(tl(sk8),iPr_def_14) = tl(app(sk8,iPr_def_14)) ) ),
inference(superposition,[status(thm)],[c_9488,c_14611]) ).
tcf(c_35859,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk6,sk4)) = tl(app(sk8,cons(sk6,sk4))) ) ),
inference(superposition,[status(thm)],[c_28942,c_14611]) ).
tcf(c_35860,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk6,sk7)) = tl(app(sk8,cons(sk6,sk7))) ) ),
inference(superposition,[status(thm)],[c_28940,c_14611]) ).
tcf(c_35861,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk6,sk8)) = tl(app(sk8,cons(sk6,sk8))) ) ),
inference(superposition,[status(thm)],[c_28938,c_14611]) ).
tcf(c_35872,plain,
( ( sk8 = nil )
| ( app(tl(sk8),nil) = tl(sk8) ) ),
inference(light_normalisation,[status(thm)],[c_35823,c_9103]) ).
tcf(c_36026,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( X0 = nil )
| ( app(sk8,sk4) = nil )
| ( app(sk8,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ( hd(app(sk8,sk4)) != hd(X0) )
| ( app(tl(sk8),sk4) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_35820,c_424]) ).
tcf(c_36028,plain,
( ssList(app(tl(sk8),sk4))
| ( sk8 = nil )
| ( app(sk8,sk4) = nil )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_35820,c_324]) ).
tcf(c_36045,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( X0 = nil )
| ( app(sk8,sk7) = nil )
| ( app(sk8,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ( hd(app(sk8,sk7)) != hd(X0) )
| ( app(tl(sk8),sk7) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_35821,c_424]) ).
tcf(c_36047,plain,
( ssList(app(tl(sk8),sk7))
| ( sk8 = nil )
| ( app(sk8,sk7) = nil )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_35821,c_324]) ).
tcf(c_36064,plain,
! [X0: $i] :
( ( sk8 = nil )
| ( X0 = nil )
| ( app(sk8,sk8) = nil )
| ( app(sk8,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ( hd(app(sk8,sk8)) != hd(X0) )
| ( app(tl(sk8),sk8) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_35822,c_424]) ).
tcf(c_36066,plain,
( ssList(app(tl(sk8),sk8))
| ( sk8 = nil )
| ( app(sk8,sk8) = nil )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_35822,c_324]) ).
tcf(c_36092,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf43(X0,X1),X2),skaf43(X0,X1))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf43(X0,X1))
| ~ ssList(app(app(nil,skaf43(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_9225,c_420]) ).
tcf(c_36093,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf43(X1,X2))
| ( app(X0,skaf43(X1,X2)) != skaf43(X1,X2) ) ),
inference(superposition,[status(thm)],[c_9225,c_398]) ).
tcf(c_36098,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf43(X0,X1),nil)
| ~ ssList(nil)
| ~ ssList(skaf43(X0,X1)) ),
inference(superposition,[status(thm)],[c_9225,c_808]) ).
tcf(c_36099,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf43(X0,X1),skaf43(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf43(X0,X1)) ),
inference(superposition,[status(thm)],[c_9225,c_807]) ).
tcf(c_36102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf43(X0,X1) = X2 )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf43(X0,X1))
| ( skaf43(X0,X1) != app(nil,X2) ) ),
inference(superposition,[status(thm)],[c_9225,c_397]) ).
tcf(c_36104,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf43(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf43(X0,X1)) ),
inference(superposition,[status(thm)],[c_9225,c_384]) ).
tcf(c_36105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf43(X0,X1),X3),X2)
| ~ ssList(nil)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(skaf43(X0,X1))
| ~ segmentP(skaf43(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_9225,c_419]) ).
tcf(c_36106,plain,
! [X0: $i,X1: $i] : frontsegP(skaf43(X0,X1),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_36098,c_255,c_299]) ).
tcf(c_36107,plain,
! [X0: $i,X1: $i] : rearsegP(skaf43(X0,X1),skaf43(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_36099,c_255,c_299]) ).
tcf(c_36108,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf43(X1,X2),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36104,c_255,c_299]) ).
tcf(c_36112,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf43(X0,X1) = X2 )
| ~ ssList(X2)
| ( skaf43(X0,X1) != app(nil,X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36102,c_255,c_299]) ).
tcf(c_36116,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf43(X1,X2)) != skaf43(X1,X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36093,c_255,c_299]) ).
tcf(c_36120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf43(X0,X1),X3),X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(skaf43(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36105,c_255,c_299]) ).
tcf(c_36125,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf43(X0,X1),X2),skaf43(X0,X1))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf43(X0,X1))
| ~ ssList(app(skaf43(X0,X1),X2)) ),
inference(light_normalisation,[status(thm)],[c_36092,c_9225]) ).
tcf(c_36126,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf43(X0,X1),X2),skaf43(X0,X1))
| ~ ssList(X2)
| ~ ssList(app(skaf43(X0,X1),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36125,c_255,c_299]) ).
tcf(c_36174,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf43(X1,X2))
| ~ frontsegP(X0,skaf43(X1,X2)) ),
inference(superposition,[status(thm)],[c_36106,c_401]) ).
tcf(c_36175,plain,
! [X0: $i,X1: $i] :
( ( app(nil,skaf45(skaf43(X0,X1),nil)) = skaf43(X0,X1) )
| ~ ssList(nil)
| ~ ssList(skaf43(X0,X1)) ),
inference(superposition,[status(thm)],[c_36106,c_379]) ).
tcf(c_36176,plain,
! [X0: $i,X1: $i] :
( ( skaf43(X0,X1) = nil )
| ~ ssList(nil)
| ~ ssList(skaf43(X0,X1))
| ~ frontsegP(nil,skaf43(X0,X1)) ),
inference(superposition,[status(thm)],[c_36106,c_376]) ).
tcf(c_36177,plain,
! [X0: $i,X1: $i] :
( ( skaf43(X0,X1) = nil )
| ~ frontsegP(nil,skaf43(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36176,c_255,c_299]) ).
tcf(c_36180,plain,
! [X0: $i,X1: $i] : app(nil,skaf45(skaf43(X0,X1),nil)) = skaf43(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_36175,c_255,c_299]) ).
tcf(c_36185,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(skaf43(X0,X1),skaf43(X0,X1)),skaf43(X0,X1)) = skaf43(X0,X1) )
| ~ ssList(skaf43(X0,X1)) ),
inference(superposition,[status(thm)],[c_36107,c_378]) ).
tcf(c_36187,plain,
! [X0: $i,X1: $i] : app(skaf46(skaf43(X0,X1),skaf43(X0,X1)),skaf43(X0,X1)) = skaf43(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_36185,c_299]) ).
tcf(c_36189,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf52(X0))))
| ( cons(sk5,skaf52(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf52(X0)))
| ~ ssList(cons(sk5,skaf52(X0))) ),
inference(superposition,[status(thm)],[c_10672,c_407]) ).
tcf(c_36190,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf52(X0))))
| ( cons(sk5,skaf52(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf52(X0)))
| ~ ssList(cons(sk5,skaf52(X0))) ),
inference(superposition,[status(thm)],[c_10672,c_406]) ).
tcf(c_36206,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk5,skaf51(X0))))
| ( cons(sk5,skaf51(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(cons(sk5,skaf51(X0)))
| ~ ssList(cons(sk5,skaf51(X0))) ),
inference(superposition,[status(thm)],[c_10673,c_407]) ).
tcf(c_36207,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk5,skaf51(X0))))
| ( cons(sk5,skaf51(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(cons(sk5,skaf51(X0)))
| ~ ssList(cons(sk5,skaf51(X0))) ),
inference(superposition,[status(thm)],[c_10673,c_406]) ).
tcf(c_36223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ leq(X1,skaf83(iPr_def_14))
| ~ leq(skaf83(iPr_def_14),X1)
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(iPr_def_14),skaf82(iPr_def_14))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_11020,c_432]) ).
tcf(c_36224,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_14))
| leq(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(skaf83(iPr_def_14),skaf82(iPr_def_14))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_11020,c_431]) ).
tcf(c_36225,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_14))
| lt(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(skaf83(iPr_def_14),skaf82(iPr_def_14))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_11020,c_430]) ).
tcf(c_36226,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(skaf83(iPr_def_14),skaf82(iPr_def_14))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_11020,c_429]) ).
tcf(c_36227,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(skaf83(iPr_def_14),skaf82(iPr_def_14))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_11020,c_428]) ).
tcf(c_36228,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ ssList(app(app(X0,iPr_def_14),cons(skaf83(iPr_def_14),X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(iPr_def_14),skaf82(iPr_def_14))),cons(skaf83(iPr_def_14),X1))) ),
inference(superposition,[status(thm)],[c_11020,c_426]) ).
tcf(c_36229,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_14),skaf83(iPr_def_14))
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ ssList(app(X0,cons(skaf83(iPr_def_14),skaf82(iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_11020,c_422]) ).
tcf(c_36230,plain,
( memberP(iPr_def_14,skaf83(iPr_def_14))
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11020,c_385]) ).
tcf(c_36235,plain,
( ( skaf83(iPr_def_14) = sk6 )
| ~ frontsegP(iPr_def_14,iPr_def_14)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11020,c_21580]) ).
tcf(c_36237,plain,
( frontsegP(nil,skaf82(iPr_def_14))
| ~ frontsegP(iPr_def_14,iPr_def_14)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11020,c_21197]) ).
tcf(c_36240,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_14) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_11020,c_423]) ).
tcf(c_36241,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf82(iPr_def_14),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_11020,c_421]) ).
tcf(c_36242,plain,
! [X0: $i] :
( memberP(skaf82(iPr_def_14),X0)
| ( skaf83(iPr_def_14) = X0 )
| ~ ssItem(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ memberP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_11020,c_408]) ).
tcf(c_36243,plain,
( leq(skaf83(iPr_def_14),hd(skaf82(iPr_def_14)))
| ( skaf82(iPr_def_14) = nil )
| ~ totalorderedP(iPr_def_14)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11020,c_382]) ).
tcf(c_36244,plain,
( lt(skaf83(iPr_def_14),hd(skaf82(iPr_def_14)))
| ( skaf82(iPr_def_14) = nil )
| ~ strictorderedP(iPr_def_14)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11020,c_381]) ).
tcf(c_36245,plain,
( totalorderedP(skaf82(iPr_def_14))
| ( skaf82(iPr_def_14) = nil )
| ~ totalorderedP(iPr_def_14)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11020,c_372]) ).
tcf(c_36246,plain,
( strictorderedP(skaf82(iPr_def_14))
| ( skaf82(iPr_def_14) = nil )
| ~ strictorderedP(iPr_def_14)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11020,c_371]) ).
tcf(c_36247,plain,
( ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ( skaf82(iPr_def_14) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11020,c_346]) ).
tcf(c_36249,plain,
! [X0: $i] :
( frontsegP(cons(skaf83(iPr_def_14),X0),iPr_def_14)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ frontsegP(X0,skaf82(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11020,c_425]) ).
tcf(c_36250,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_14) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ ssList(app(X0,cons(X1,iPr_def_14)))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(iPr_def_14),skaf82(iPr_def_14))))) ),
inference(superposition,[status(thm)],[c_11020,c_427]) ).
tcf(c_36251,plain,
! [X0: $i,X1: $i] :
( ( skaf82(iPr_def_14) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ( cons(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11020,c_418]) ).
tcf(c_36252,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_14) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ( cons(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11020,c_417]) ).
tcf(c_36253,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_14) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ frontsegP(cons(X0,X1),iPr_def_14) ),
inference(superposition,[status(thm)],[c_11020,c_423]) ).
tcf(c_36254,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,skaf82(iPr_def_14))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ frontsegP(cons(X0,X1),iPr_def_14) ),
inference(superposition,[status(thm)],[c_11020,c_421]) ).
tcf(c_36255,plain,
! [X0: $i] :
( frontsegP(iPr_def_14,cons(skaf83(iPr_def_14),X0))
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ frontsegP(skaf82(iPr_def_14),X0) ),
inference(superposition,[status(thm)],[c_11020,c_425]) ).
tcf(c_36256,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| ~ ssItem(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ memberP(skaf82(iPr_def_14),X0) ),
inference(superposition,[status(thm)],[c_11020,c_386]) ).
tcf(c_36257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ leq(X1,skaf83(iPr_def_14))
| ~ leq(skaf83(iPr_def_14),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(iPr_def_14),skaf82(iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_11020,c_432]) ).
tcf(c_36258,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_14))
| leq(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(iPr_def_14),skaf82(iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_11020,c_431]) ).
tcf(c_36259,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_14))
| lt(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(iPr_def_14),skaf82(iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_11020,c_430]) ).
tcf(c_36260,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_14))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(iPr_def_14),skaf82(iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_11020,c_429]) ).
tcf(c_36261,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_14))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(iPr_def_14),skaf82(iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_11020,c_428]) ).
tcf(c_36262,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ ssList(app(app(X0,cons(skaf83(iPr_def_14),X1)),iPr_def_14))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(iPr_def_14),X1)),cons(skaf83(iPr_def_14),skaf82(iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_11020,c_426]) ).
tcf(c_36263,plain,
memberP(iPr_def_14,skaf83(iPr_def_14)),
inference(forward_subsumption_resolution,[status(thm)],[c_36230,c_259,c_260]) ).
tcf(c_36264,plain,
skaf82(iPr_def_14) != iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_36247,c_259,c_260]) ).
tcf(c_36265,plain,
frontsegP(nil,skaf82(iPr_def_14)),
inference(forward_subsumption_resolution,[status(thm)],[c_36237,c_9809,c_259,c_260]) ).
tcf(c_36266,plain,
skaf83(iPr_def_14) = sk6,
inference(forward_subsumption_resolution,[status(thm)],[c_36235,c_9809,c_259,c_260]) ).
tcf(c_36267,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| ~ ssItem(X0)
| ~ memberP(skaf82(iPr_def_14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36256,c_259,c_260]) ).
tcf(c_36271,plain,
( strictorderedP(skaf82(iPr_def_14))
| ( skaf82(iPr_def_14) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36246,c_9087,c_259,c_260]) ).
tcf(c_36274,plain,
( totalorderedP(skaf82(iPr_def_14))
| ( skaf82(iPr_def_14) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36245,c_9095,c_259,c_260]) ).
tcf(c_36277,plain,
! [X0: $i] :
( frontsegP(iPr_def_14,cons(skaf83(iPr_def_14),X0))
| ~ ssList(X0)
| ~ frontsegP(skaf82(iPr_def_14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36255,c_259,c_260]) ).
tcf(c_36281,plain,
! [X0: $i] :
( frontsegP(cons(skaf83(iPr_def_14),X0),iPr_def_14)
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36249,c_259,c_260]) ).
tcf(c_36285,plain,
( lt(skaf83(iPr_def_14),hd(skaf82(iPr_def_14)))
| ( skaf82(iPr_def_14) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36244,c_9087,c_259,c_260]) ).
tcf(c_36288,plain,
( leq(skaf83(iPr_def_14),hd(skaf82(iPr_def_14)))
| ( skaf82(iPr_def_14) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36243,c_9095,c_259,c_260]) ).
tcf(c_36291,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,skaf82(iPr_def_14))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36254,c_259,c_260]) ).
tcf(c_36296,plain,
! [X0: $i] :
( memberP(skaf82(iPr_def_14),X0)
| ( skaf83(iPr_def_14) = X0 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36242,c_259,c_260]) ).
tcf(c_36301,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf82(iPr_def_14),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36241,c_259,c_260]) ).
tcf(c_36306,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_14) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36253,c_259,c_260]) ).
tcf(c_36311,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_14) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36240,c_259,c_260]) ).
tcf(c_36316,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_14) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36252,c_259,c_260]) ).
tcf(c_36321,plain,
! [X0: $i,X1: $i] :
( ( skaf82(iPr_def_14) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36251,c_259,c_260]) ).
tcf(c_36326,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_14),skaf83(iPr_def_14))
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ ssList(app(X0,iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_36229,c_11020]) ).
tcf(c_36327,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_14),skaf83(iPr_def_14))
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36326,c_259,c_260]) ).
tcf(c_36331,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_14) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_14)))
| ~ ssList(app(X0,cons(X1,iPr_def_14))) ),
inference(light_normalisation,[status(thm)],[c_36250,c_11020]) ).
tcf(c_36332,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_14) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ equalelemsP(app(X0,cons(X1,iPr_def_14)))
| ~ ssList(app(X0,cons(X1,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36331,c_259,c_260]) ).
tcf(c_36338,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(iPr_def_14),X1)),iPr_def_14))
| ~ ssList(app(app(X0,cons(skaf83(iPr_def_14),X1)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_36262,c_11020]) ).
tcf(c_36339,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(skaf83(iPr_def_14),X1)),iPr_def_14))
| ~ ssList(app(app(X0,cons(skaf83(iPr_def_14),X1)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36338,c_259,c_260]) ).
tcf(c_36344,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ duplicatefreeP(app(app(X0,iPr_def_14),cons(skaf83(iPr_def_14),X1)))
| ~ ssList(app(app(X0,iPr_def_14),cons(skaf83(iPr_def_14),X1))) ),
inference(light_normalisation,[status(thm)],[c_36228,c_11020]) ).
tcf(c_36345,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_14),cons(skaf83(iPr_def_14),X1)))
| ~ ssList(app(app(X0,iPr_def_14),cons(skaf83(iPr_def_14),X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36344,c_259,c_260]) ).
tcf(c_36350,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_14))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_36261,c_11020]) ).
tcf(c_36351,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_14))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36350,c_259,c_260]) ).
tcf(c_36358,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_14))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_36260,c_11020]) ).
tcf(c_36359,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_14))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36358,c_259,c_260]) ).
tcf(c_36366,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ strictorderedP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_36227,c_11020]) ).
tcf(c_36367,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36366,c_259,c_260]) ).
tcf(c_36374,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ totalorderedP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_36226,c_11020]) ).
tcf(c_36375,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36374,c_259,c_260]) ).
tcf(c_36382,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_14))
| lt(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ strictorderP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_36259,c_11020]) ).
tcf(c_36383,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_14))
| lt(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36382,c_259,c_260]) ).
tcf(c_36391,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_14))
| leq(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ totalorderP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_36258,c_11020]) ).
tcf(c_36392,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_14))
| leq(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36391,c_259,c_260]) ).
tcf(c_36400,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_14))
| lt(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ strictorderP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_36225,c_11020]) ).
tcf(c_36401,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_14))
| lt(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36400,c_259,c_260]) ).
tcf(c_36409,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_14))
| leq(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ totalorderP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_36224,c_11020]) ).
tcf(c_36410,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_14))
| leq(skaf83(iPr_def_14),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36409,c_259,c_260]) ).
tcf(c_36418,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ leq(X1,skaf83(iPr_def_14))
| ~ leq(skaf83(iPr_def_14),X1)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_36257,c_11020]) ).
tcf(c_36419,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(iPr_def_14))
| ~ leq(skaf83(iPr_def_14),X1)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),iPr_def_14))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36418,c_259,c_260]) ).
tcf(c_36427,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14))
| ~ leq(X1,skaf83(iPr_def_14))
| ~ leq(skaf83(iPr_def_14),X1)
| ~ cyclefreeP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_36223,c_11020]) ).
tcf(c_36428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(iPr_def_14))
| ~ leq(skaf83(iPr_def_14),X1)
| ~ cyclefreeP(app(app(X0,iPr_def_14),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_14),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36427,c_259,c_260]) ).
tcf(c_36436,plain,
cons(sk6,skaf82(iPr_def_14)) = iPr_def_14,
inference(demodulation,[status(thm)],[c_11020,c_36266]) ).
tcf(c_36501,plain,
( frontsegP(sk4,skaf82(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_36265,c_13542]) ).
tcf(c_36502,plain,
( frontsegP(sk7,skaf82(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_36265,c_13538]) ).
tcf(c_36503,plain,
( frontsegP(sk8,skaf82(iPr_def_14))
| ~ ssList(skaf82(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_36265,c_13534]) ).
tcf(c_36504,plain,
( ( skaf82(iPr_def_14) = nil )
| ~ ssList(skaf82(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_36265,c_331]) ).
tcf(c_36505,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_14))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf82(iPr_def_14))
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_36265,c_401]) ).
tcf(c_36506,plain,
( ( app(skaf82(iPr_def_14),skaf45(nil,skaf82(iPr_def_14))) = nil )
| ~ ssList(nil)
| ~ ssList(skaf82(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_36265,c_379]) ).
tcf(c_36508,plain,
frontsegP(sk8,skaf82(iPr_def_14)),
inference(forward_subsumption_resolution,[status(thm)],[c_36503,c_260]) ).
tcf(c_36509,plain,
frontsegP(sk7,skaf82(iPr_def_14)),
inference(forward_subsumption_resolution,[status(thm)],[c_36502,c_260]) ).
tcf(c_36510,plain,
frontsegP(sk4,skaf82(iPr_def_14)),
inference(forward_subsumption_resolution,[status(thm)],[c_36501,c_260]) ).
tcf(c_36511,plain,
skaf82(iPr_def_14) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_36504,c_260]) ).
tcf(c_36512,plain,
app(skaf82(iPr_def_14),skaf45(nil,skaf82(iPr_def_14))) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_36506,c_255,c_260]) ).
tcf(c_36513,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_14))
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36505,c_255,c_260]) ).
tcf(c_36528,plain,
( ( sk5 = sk6 )
| ~ ssItem(sk5)
| ~ ssList(nil)
| ( iPr_def_12 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_32889,c_21745]) ).
tcf(c_36532,plain,
( ( sk4 = nil )
| ( hd(sk4) = sk6 )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ( sk4 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10766,c_21745]) ).
tcf(c_36533,plain,
( ( sk7 = nil )
| ( hd(sk7) = sk6 )
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ( sk7 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10767,c_21745]) ).
tcf(c_36534,plain,
( ( sk8 = nil )
| ( hd(sk8) = sk6 )
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ( sk8 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10768,c_21745]) ).
tcf(c_36535,plain,
( ( sk4 = nil )
| ( skaf83(sk4) = sk6 )
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ( sk4 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10982,c_21745]) ).
tcf(c_36536,plain,
( ( sk7 = nil )
| ( skaf83(sk7) = sk6 )
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ( sk7 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10983,c_21745]) ).
tcf(c_36537,plain,
( ( sk8 = nil )
| ( skaf83(sk8) = sk6 )
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ( sk8 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10984,c_21745]) ).
tcf(c_36538,plain,
iPr_def_12 != iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_36528,c_6481,c_6485,c_255]) ).
tcf(c_36539,plain,
( ( sk8 = nil )
| ( skaf83(sk8) = sk6 )
| ( sk8 != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36537,c_259,c_260]) ).
tcf(c_36543,plain,
( ( sk7 = nil )
| ( skaf83(sk7) = sk6 )
| ( sk7 != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36536,c_259,c_260]) ).
tcf(c_36547,plain,
( ( sk4 = nil )
| ( skaf83(sk4) = sk6 )
| ( sk4 != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36535,c_259,c_260]) ).
tcf(c_36578,plain,
( ( sk4 = nil )
| ( hd(sk4) = sk5 )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ( sk4 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10766,c_21750]) ).
tcf(c_36579,plain,
( ( sk7 = nil )
| ( hd(sk7) = sk5 )
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ( sk7 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10767,c_21750]) ).
tcf(c_36580,plain,
( ( sk8 = nil )
| ( hd(sk8) = sk5 )
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ( sk8 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10768,c_21750]) ).
tcf(c_36581,plain,
( ( sk4 = nil )
| ( skaf83(sk4) = sk5 )
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ( sk4 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10982,c_21750]) ).
tcf(c_36582,plain,
( ( sk7 = nil )
| ( skaf83(sk7) = sk5 )
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ( sk7 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10983,c_21750]) ).
tcf(c_36583,plain,
( ( sk8 = nil )
| ( skaf83(sk8) = sk5 )
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ( sk8 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10984,c_21750]) ).
tcf(c_36584,plain,
( ( sk8 = nil )
| ( skaf83(sk8) = sk5 )
| ( sk8 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36583,c_259,c_260]) ).
tcf(c_36588,plain,
( ( sk7 = nil )
| ( skaf83(sk7) = sk5 )
| ( sk7 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36582,c_259,c_260]) ).
tcf(c_36592,plain,
( ( sk4 = nil )
| ( skaf83(sk4) = sk5 )
| ( sk4 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36581,c_259,c_260]) ).
tcf(c_36623,plain,
( ( sk4 = nil )
| ( tl(sk4) = nil )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ( sk4 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10766,c_21842]) ).
tcf(c_36624,plain,
( ( sk7 = nil )
| ( tl(sk7) = nil )
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ( sk7 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10767,c_21842]) ).
tcf(c_36625,plain,
( ( sk8 = nil )
| ( tl(sk8) = nil )
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ( sk8 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10768,c_21842]) ).
tcf(c_36626,plain,
( ( sk4 = nil )
| ( skaf82(sk4) = nil )
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ( sk4 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10982,c_21842]) ).
tcf(c_36627,plain,
( ( sk7 = nil )
| ( skaf82(sk7) = nil )
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ( sk7 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10983,c_21842]) ).
tcf(c_36628,plain,
( ( sk8 = nil )
| ( skaf82(sk8) = nil )
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ( sk8 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10984,c_21842]) ).
tcf(c_36629,plain,
( ( sk8 = nil )
| ( skaf82(sk8) = nil )
| ( sk8 != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36628,c_259,c_260]) ).
tcf(c_36633,plain,
( ( sk7 = nil )
| ( skaf82(sk7) = nil )
| ( sk7 != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36627,c_259,c_260]) ).
tcf(c_36637,plain,
( ( sk4 = nil )
| ( skaf82(sk4) = nil )
| ( sk4 != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36626,c_259,c_260]) ).
tcf(c_36730,plain,
( ( sk4 = nil )
| ( tl(sk4) = nil )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ( sk4 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10766,c_21847]) ).
tcf(c_36731,plain,
( ( sk7 = nil )
| ( tl(sk7) = nil )
| ~ ssItem(hd(sk7))
| ~ ssList(tl(sk7))
| ( sk7 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10767,c_21847]) ).
tcf(c_36732,plain,
( ( sk8 = nil )
| ( tl(sk8) = nil )
| ~ ssItem(hd(sk8))
| ~ ssList(tl(sk8))
| ( sk8 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10768,c_21847]) ).
tcf(c_36733,plain,
( ( sk4 = nil )
| ( skaf82(sk4) = nil )
| ~ ssItem(skaf83(sk4))
| ~ ssList(skaf82(sk4))
| ( sk4 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10982,c_21847]) ).
tcf(c_36734,plain,
( ( sk7 = nil )
| ( skaf82(sk7) = nil )
| ~ ssItem(skaf83(sk7))
| ~ ssList(skaf82(sk7))
| ( sk7 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10983,c_21847]) ).
tcf(c_36735,plain,
( ( sk8 = nil )
| ( skaf82(sk8) = nil )
| ~ ssItem(skaf83(sk8))
| ~ ssList(skaf82(sk8))
| ( sk8 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10984,c_21847]) ).
tcf(c_36736,plain,
( ( sk8 = nil )
| ( skaf82(sk8) = nil )
| ( sk8 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36735,c_259,c_260]) ).
tcf(c_36740,plain,
( ( sk7 = nil )
| ( skaf82(sk7) = nil )
| ( sk7 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36734,c_259,c_260]) ).
tcf(c_36744,plain,
( ( sk4 = nil )
| ( skaf82(sk4) = nil )
| ( sk4 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36733,c_259,c_260]) ).
tcf(c_36763,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,sk4),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(light_normalisation,[status(thm)],[c_22121,c_28897]) ).
tcf(c_36776,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X2)
| ~ ssList(app(cons(sk6,sk4),X1))
| ~ segmentP(X0,app(cons(sk6,sk4),X1)) ),
inference(superposition,[status(thm)],[c_36763,c_399]) ).
tcf(c_36777,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf47(app(cons(sk6,sk4),X0),X1),X1),skaf48(X1,app(cons(sk6,sk4),X0))) = app(cons(sk6,sk4),X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(superposition,[status(thm)],[c_36763,c_415]) ).
tcf(c_36778,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sk6,sk4),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(cons(sk6,sk4),X1))
| ~ segmentP(X0,app(cons(sk6,sk4),X1)) ),
inference(superposition,[status(thm)],[c_36763,c_374]) ).
tcf(c_36779,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(superposition,[status(thm)],[c_36763,c_27069]) ).
tcf(c_36780,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk8)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(superposition,[status(thm)],[c_36763,c_28549]) ).
tcf(c_36781,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(superposition,[status(thm)],[c_36763,c_27097]) ).
tcf(c_36782,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(superposition,[status(thm)],[c_36763,c_27109]) ).
tcf(c_36783,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36782,c_24748]) ).
tcf(c_36788,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36781,c_9020]) ).
tcf(c_36793,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk8)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36780,c_9020]) ).
tcf(c_36798,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36779,c_9527]) ).
tcf(c_36827,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(light_normalisation,[status(thm)],[c_22140,c_28897]) ).
tcf(c_36837,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X1))
| ~ segmentP(X0,app(cons(sk6,sk4),X1)) ),
inference(superposition,[status(thm)],[c_36827,c_399]) ).
tcf(c_36838,plain,
! [X0: $i] :
( ( app(app(skaf47(app(cons(sk6,sk4),X0),sk4),sk4),skaf48(sk4,app(cons(sk6,sk4),X0))) = app(cons(sk6,sk4),X0) )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(superposition,[status(thm)],[c_36827,c_415]) ).
tcf(c_36839,plain,
! [X0: $i] :
( ( app(cons(sk6,sk4),X0) = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,app(cons(sk6,sk4),X0)) ),
inference(superposition,[status(thm)],[c_36827,c_374]) ).
tcf(c_36840,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X1))
| ~ segmentP(X0,app(cons(sk6,sk4),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36837,c_6486]) ).
tcf(c_36846,plain,
! [X0: $i] :
( ( app(cons(sk6,sk4),X0) = sk4 )
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,app(cons(sk6,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36839,c_6486]) ).
tcf(c_36851,plain,
! [X0: $i] :
( ( app(app(skaf47(app(cons(sk6,sk4),X0),sk4),sk4),skaf48(sk4,app(cons(sk6,sk4),X0))) = app(cons(sk6,sk4),X0) )
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36838,c_6486]) ).
tcf(c_36863,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf42(X0,X1),X2),skaf42(X0,X1))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf42(X0,X1))
| ~ ssList(app(app(nil,skaf42(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_9226,c_420]) ).
tcf(c_36864,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf42(X1,X2))
| ( app(X0,skaf42(X1,X2)) != skaf42(X1,X2) ) ),
inference(superposition,[status(thm)],[c_9226,c_398]) ).
tcf(c_36869,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf42(X0,X1),nil)
| ~ ssList(nil)
| ~ ssList(skaf42(X0,X1)) ),
inference(superposition,[status(thm)],[c_9226,c_808]) ).
tcf(c_36870,plain,
! [X0: $i,X1: $i] :
( rearsegP(skaf42(X0,X1),skaf42(X0,X1))
| ~ ssList(nil)
| ~ ssList(skaf42(X0,X1)) ),
inference(superposition,[status(thm)],[c_9226,c_807]) ).
tcf(c_36873,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf42(X0,X1) = X2 )
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf42(X0,X1))
| ( skaf42(X0,X1) != app(nil,X2) ) ),
inference(superposition,[status(thm)],[c_9226,c_397]) ).
tcf(c_36875,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf42(X0,X1),X2)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ frontsegP(nil,X2)
| ~ ssList(skaf42(X0,X1)) ),
inference(superposition,[status(thm)],[c_9226,c_384]) ).
tcf(c_36876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf42(X0,X1),X3),X2)
| ~ ssList(nil)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(skaf42(X0,X1))
| ~ segmentP(skaf42(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_9226,c_419]) ).
tcf(c_36877,plain,
! [X0: $i,X1: $i] : frontsegP(skaf42(X0,X1),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_36869,c_255,c_300]) ).
tcf(c_36878,plain,
! [X0: $i,X1: $i] : rearsegP(skaf42(X0,X1),skaf42(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_36870,c_255,c_300]) ).
tcf(c_36879,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf42(X1,X2),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36875,c_255,c_300]) ).
tcf(c_36883,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf42(X0,X1) = X2 )
| ~ ssList(X2)
| ( skaf42(X0,X1) != app(nil,X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36873,c_255,c_300]) ).
tcf(c_36887,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,skaf42(X1,X2)) != skaf42(X1,X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36864,c_255,c_300]) ).
tcf(c_36891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(skaf42(X0,X1),X3),X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(skaf42(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36876,c_255,c_300]) ).
tcf(c_36896,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf42(X0,X1),X2),skaf42(X0,X1))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(skaf42(X0,X1))
| ~ ssList(app(skaf42(X0,X1),X2)) ),
inference(light_normalisation,[status(thm)],[c_36863,c_9226]) ).
tcf(c_36897,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(skaf42(X0,X1),X2),skaf42(X0,X1))
| ~ ssList(X2)
| ~ ssList(app(skaf42(X0,X1),X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36896,c_255,c_300]) ).
tcf(c_36938,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf42(X1,X2))
| ~ frontsegP(X0,skaf42(X1,X2)) ),
inference(superposition,[status(thm)],[c_36877,c_401]) ).
tcf(c_36939,plain,
! [X0: $i,X1: $i] :
( ( app(nil,skaf45(skaf42(X0,X1),nil)) = skaf42(X0,X1) )
| ~ ssList(nil)
| ~ ssList(skaf42(X0,X1)) ),
inference(superposition,[status(thm)],[c_36877,c_379]) ).
tcf(c_36940,plain,
! [X0: $i,X1: $i] :
( ( skaf42(X0,X1) = nil )
| ~ ssList(nil)
| ~ ssList(skaf42(X0,X1))
| ~ frontsegP(nil,skaf42(X0,X1)) ),
inference(superposition,[status(thm)],[c_36877,c_376]) ).
tcf(c_36941,plain,
! [X0: $i,X1: $i] :
( ( skaf42(X0,X1) = nil )
| ~ frontsegP(nil,skaf42(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36940,c_255,c_300]) ).
tcf(c_36944,plain,
! [X0: $i,X1: $i] : app(nil,skaf45(skaf42(X0,X1),nil)) = skaf42(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_36939,c_255,c_300]) ).
tcf(c_36950,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(skaf42(X0,X1),skaf42(X0,X1)),skaf42(X0,X1)) = skaf42(X0,X1) )
| ~ ssList(skaf42(X0,X1)) ),
inference(superposition,[status(thm)],[c_36878,c_378]) ).
tcf(c_36952,plain,
! [X0: $i,X1: $i] : app(skaf46(skaf42(X0,X1),skaf42(X0,X1)),skaf42(X0,X1)) = skaf42(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_36950,c_300]) ).
tcf(c_36958,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,sk7),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(light_normalisation,[status(thm)],[c_23163,c_28897]) ).
tcf(c_36971,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X2)
| ~ ssList(app(cons(sk6,sk7),X1))
| ~ segmentP(X0,app(cons(sk6,sk7),X1)) ),
inference(superposition,[status(thm)],[c_36958,c_399]) ).
tcf(c_36972,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf47(app(cons(sk6,sk7),X0),X1),X1),skaf48(X1,app(cons(sk6,sk7),X0))) = app(cons(sk6,sk7),X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X1)
| ~ ssList(app(cons(sk6,sk7),X0)) ),
inference(superposition,[status(thm)],[c_36958,c_415]) ).
tcf(c_36973,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sk6,sk7),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(cons(sk6,sk7),X1))
| ~ segmentP(X0,app(cons(sk6,sk7),X1)) ),
inference(superposition,[status(thm)],[c_36958,c_374]) ).
tcf(c_36975,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk8)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(cons(sk6,sk7),X0)) ),
inference(superposition,[status(thm)],[c_36958,c_28549]) ).
tcf(c_36976,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(cons(sk6,sk7),X0)) ),
inference(superposition,[status(thm)],[c_36958,c_27097]) ).
tcf(c_36977,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(cons(sk6,sk7),X0)) ),
inference(superposition,[status(thm)],[c_36958,c_27109]) ).
tcf(c_36978,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(cons(sk6,sk7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36977,c_24748]) ).
tcf(c_36983,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(cons(sk6,sk7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36976,c_9020]) ).
tcf(c_36988,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk8)
| ~ ssList(X0)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(cons(sk6,sk7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36975,c_9020]) ).
tcf(c_37016,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk7),X0)) ),
inference(light_normalisation,[status(thm)],[c_23182,c_28897]) ).
tcf(c_37026,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk7),X1))
| ~ segmentP(X0,app(cons(sk6,sk7),X1)) ),
inference(superposition,[status(thm)],[c_37016,c_399]) ).
tcf(c_37027,plain,
! [X0: $i] :
( ( app(app(skaf47(app(cons(sk6,sk7),X0),sk7),sk7),skaf48(sk7,app(cons(sk6,sk7),X0))) = app(cons(sk6,sk7),X0) )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk7),X0)) ),
inference(superposition,[status(thm)],[c_37016,c_415]) ).
tcf(c_37028,plain,
! [X0: $i] :
( ( app(cons(sk6,sk7),X0) = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,app(cons(sk6,sk7),X0)) ),
inference(superposition,[status(thm)],[c_37016,c_374]) ).
tcf(c_37029,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk7),X1))
| ~ segmentP(X0,app(cons(sk6,sk7),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37026,c_6483]) ).
tcf(c_37035,plain,
! [X0: $i] :
( ( app(cons(sk6,sk7),X0) = sk7 )
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,app(cons(sk6,sk7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37028,c_6483]) ).
tcf(c_37040,plain,
! [X0: $i] :
( ( app(app(skaf47(app(cons(sk6,sk7),X0),sk7),sk7),skaf48(sk7,app(cons(sk6,sk7),X0))) = app(cons(sk6,sk7),X0) )
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37027,c_6483]) ).
tcf(c_37047,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,sk8),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(light_normalisation,[status(thm)],[c_24503,c_28897]) ).
tcf(c_37060,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X2)
| ~ ssList(app(cons(sk6,sk8),X1))
| ~ segmentP(X0,app(cons(sk6,sk8),X1)) ),
inference(superposition,[status(thm)],[c_37047,c_399]) ).
tcf(c_37061,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf47(app(cons(sk6,sk8),X0),X1),X1),skaf48(X1,app(cons(sk6,sk8),X0))) = app(cons(sk6,sk8),X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X1)
| ~ ssList(app(cons(sk6,sk8),X0)) ),
inference(superposition,[status(thm)],[c_37047,c_415]) ).
tcf(c_37062,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sk6,sk8),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(cons(sk6,sk8),X1))
| ~ segmentP(X0,app(cons(sk6,sk8),X1)) ),
inference(superposition,[status(thm)],[c_37047,c_374]) ).
tcf(c_37063,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(cons(sk6,sk8),X0)) ),
inference(superposition,[status(thm)],[c_37047,c_27069]) ).
tcf(c_37066,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(cons(sk6,sk8),X0)) ),
inference(superposition,[status(thm)],[c_37047,c_27109]) ).
tcf(c_37067,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(cons(sk6,sk8),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37066,c_24748]) ).
tcf(c_37072,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(cons(sk6,sk8),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37063,c_9527]) ).
tcf(c_37139,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk8),X0)) ),
inference(light_normalisation,[status(thm)],[c_24522,c_28897]) ).
tcf(c_37149,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk8),X1))
| ~ segmentP(X0,app(cons(sk6,sk8),X1)) ),
inference(superposition,[status(thm)],[c_37139,c_399]) ).
tcf(c_37150,plain,
! [X0: $i] :
( ( app(app(skaf47(app(cons(sk6,sk8),X0),sk8),sk8),skaf48(sk8,app(cons(sk6,sk8),X0))) = app(cons(sk6,sk8),X0) )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk8),X0)) ),
inference(superposition,[status(thm)],[c_37139,c_415]) ).
tcf(c_37151,plain,
! [X0: $i] :
( ( app(cons(sk6,sk8),X0) = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,app(cons(sk6,sk8),X0)) ),
inference(superposition,[status(thm)],[c_37139,c_374]) ).
tcf(c_37152,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk8),X1))
| ~ segmentP(X0,app(cons(sk6,sk8),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37149,c_6482]) ).
tcf(c_37158,plain,
! [X0: $i] :
( ( app(cons(sk6,sk8),X0) = sk8 )
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,app(cons(sk6,sk8),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37151,c_6482]) ).
tcf(c_37163,plain,
! [X0: $i] :
( ( app(app(skaf47(app(cons(sk6,sk8),X0),sk8),sk8),skaf48(sk8,app(cons(sk6,sk8),X0))) = app(cons(sk6,sk8),X0) )
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk8),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37150,c_6482]) ).
tcf(c_37178,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_15,sk7)) ),
inference(superposition,[status(thm)],[c_303,c_24779]) ).
tcf(c_37179,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),skaf45(iPr_def_15,sk7))
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_15,sk7)) ),
inference(superposition,[status(thm)],[c_304,c_24779]) ).
tcf(c_37180,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),skaf45(iPr_def_15,sk7))
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37179,c_298]) ).
tcf(c_37183,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),nil)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37178,c_255,c_298]) ).
tcf(c_37194,plain,
! [X0: $i] :
( ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(cons(sk5,X0))
| ~ duplicatefreeP(app(iPr_def_13,cons(sk5,X0))) ),
inference(superposition,[status(thm)],[c_332,c_25253]) ).
tcf(c_37195,plain,
( ~ ssList(nil)
| ~ ssList(app(iPr_def_13,iPr_def_12))
| ~ duplicatefreeP(app(iPr_def_13,cons(sk5,nil))) ),
inference(superposition,[status(thm)],[c_32889,c_25253]) ).
tcf(c_37197,plain,
( ~ ssList(nil)
| ~ duplicatefreeP(app(iPr_def_13,iPr_def_12))
| ~ ssList(app(iPr_def_13,iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_37195,c_32889]) ).
tcf(c_37198,plain,
( ~ duplicatefreeP(app(iPr_def_13,iPr_def_12))
| ~ ssList(app(iPr_def_13,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37197,c_255]) ).
tcf(c_37201,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssList(cons(sk5,X0))
| ~ duplicatefreeP(app(iPr_def_13,cons(sk5,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37194,c_9527]) ).
tcf(c_37212,plain,
! [X0: $i] :
( ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(cons(sk6,X0))
| ~ duplicatefreeP(app(iPr_def_14,cons(sk6,X0))) ),
inference(superposition,[status(thm)],[c_332,c_25470]) ).
tcf(c_37213,plain,
( ~ ssList(nil)
| ~ ssList(app(iPr_def_14,iPr_def_14))
| ~ duplicatefreeP(app(iPr_def_14,cons(sk6,nil))) ),
inference(superposition,[status(thm)],[c_32529,c_25470]) ).
tcf(c_37215,plain,
( ~ ssList(nil)
| ~ duplicatefreeP(app(iPr_def_14,iPr_def_14))
| ~ ssList(app(iPr_def_14,iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_37213,c_32529]) ).
tcf(c_37216,plain,
( ~ duplicatefreeP(app(iPr_def_14,iPr_def_14))
| ~ ssList(app(iPr_def_14,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37215,c_255]) ).
tcf(c_37219,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssList(cons(sk6,X0))
| ~ duplicatefreeP(app(iPr_def_14,cons(sk6,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37212,c_9488]) ).
tcf(c_37230,plain,
! [X0: $i] :
( ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(cons(sk5,X0))
| ~ duplicatefreeP(app(iPr_def_12,cons(sk5,X0))) ),
inference(superposition,[status(thm)],[c_332,c_25603]) ).
tcf(c_37231,plain,
( ~ ssList(nil)
| ~ ssList(app(iPr_def_12,iPr_def_12))
| ~ duplicatefreeP(app(iPr_def_12,cons(sk5,nil))) ),
inference(superposition,[status(thm)],[c_32889,c_25603]) ).
tcf(c_37233,plain,
( ~ ssList(nil)
| ~ duplicatefreeP(app(iPr_def_12,iPr_def_12))
| ~ ssList(app(iPr_def_12,iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_37231,c_32889]) ).
tcf(c_37234,plain,
( ~ duplicatefreeP(app(iPr_def_12,iPr_def_12))
| ~ ssList(app(iPr_def_12,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37233,c_255]) ).
tcf(c_37237,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssList(cons(sk5,X0))
| ~ duplicatefreeP(app(iPr_def_12,cons(sk5,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37230,c_9489]) ).
tcf(c_37243,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf82(X0)) = nil )
| ( cons(sk5,skaf82(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf82(X0)))
| ( skaf82(X0) != tl(X1) )
| ( hd(cons(sk5,skaf82(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10185,c_424]) ).
tcf(c_37246,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf82(X0)) = nil )
| ( cons(sk5,skaf82(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf82(X0)))
| ( hd(X1) != sk5 )
| ( skaf82(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_37243,c_10653]) ).
tcf(c_37254,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ leq(X1,skaf83(iPr_def_12))
| ~ leq(skaf83(iPr_def_12),X1)
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(iPr_def_12),skaf82(iPr_def_12))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_11021,c_432]) ).
tcf(c_37255,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_12))
| leq(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(skaf83(iPr_def_12),skaf82(iPr_def_12))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_11021,c_431]) ).
tcf(c_37256,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_12))
| lt(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(skaf83(iPr_def_12),skaf82(iPr_def_12))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_11021,c_430]) ).
tcf(c_37257,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(skaf83(iPr_def_12),skaf82(iPr_def_12))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_11021,c_429]) ).
tcf(c_37258,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(skaf83(iPr_def_12),skaf82(iPr_def_12))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_11021,c_428]) ).
tcf(c_37259,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ ssList(app(app(X0,iPr_def_12),cons(skaf83(iPr_def_12),X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(iPr_def_12),skaf82(iPr_def_12))),cons(skaf83(iPr_def_12),X1))) ),
inference(superposition,[status(thm)],[c_11021,c_426]) ).
tcf(c_37260,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_12),skaf83(iPr_def_12))
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ ssList(app(X0,cons(skaf83(iPr_def_12),skaf82(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_11021,c_422]) ).
tcf(c_37261,plain,
( memberP(iPr_def_12,skaf83(iPr_def_12))
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11021,c_385]) ).
tcf(c_37263,plain,
( ( skaf82(iPr_def_12) = nil )
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11021,c_21847]) ).
tcf(c_37265,plain,
( ( skaf83(iPr_def_12) = sk5 )
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11021,c_21750]) ).
tcf(c_37271,plain,
( frontsegP(nil,skaf82(iPr_def_12))
| ~ frontsegP(iPr_def_12,iPr_def_12)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11021,c_21202]) ).
tcf(c_37275,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_12) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_11021,c_423]) ).
tcf(c_37276,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf82(iPr_def_12),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_11021,c_421]) ).
tcf(c_37277,plain,
! [X0: $i] :
( memberP(skaf82(iPr_def_12),X0)
| ( skaf83(iPr_def_12) = X0 )
| ~ ssItem(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_11021,c_408]) ).
tcf(c_37282,plain,
( ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ( skaf82(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11021,c_346]) ).
tcf(c_37284,plain,
! [X0: $i] :
( frontsegP(cons(skaf83(iPr_def_12),X0),iPr_def_12)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ frontsegP(X0,skaf82(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11021,c_425]) ).
tcf(c_37285,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_12) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ ssList(app(X0,cons(X1,iPr_def_12)))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(iPr_def_12),skaf82(iPr_def_12))))) ),
inference(superposition,[status(thm)],[c_11021,c_427]) ).
tcf(c_37286,plain,
! [X0: $i,X1: $i] :
( ( skaf82(iPr_def_12) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11021,c_418]) ).
tcf(c_37287,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_12) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11021,c_417]) ).
tcf(c_37288,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_12) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(superposition,[status(thm)],[c_11021,c_423]) ).
tcf(c_37289,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,skaf82(iPr_def_12))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(superposition,[status(thm)],[c_11021,c_421]) ).
tcf(c_37290,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,cons(skaf83(iPr_def_12),X0))
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ frontsegP(skaf82(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_11021,c_425]) ).
tcf(c_37291,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ memberP(skaf82(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_11021,c_386]) ).
tcf(c_37292,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ leq(X1,skaf83(iPr_def_12))
| ~ leq(skaf83(iPr_def_12),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(iPr_def_12),skaf82(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_11021,c_432]) ).
tcf(c_37293,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_12))
| leq(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(iPr_def_12),skaf82(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_11021,c_431]) ).
tcf(c_37294,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_12))
| lt(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(iPr_def_12),skaf82(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_11021,c_430]) ).
tcf(c_37295,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_12))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(iPr_def_12),skaf82(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_11021,c_429]) ).
tcf(c_37296,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_12))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(iPr_def_12),skaf82(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_11021,c_428]) ).
tcf(c_37297,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ ssList(app(app(X0,cons(skaf83(iPr_def_12),X1)),iPr_def_12))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(iPr_def_12),X1)),cons(skaf83(iPr_def_12),skaf82(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_11021,c_426]) ).
tcf(c_37298,plain,
memberP(iPr_def_12,skaf83(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_37261,c_259,c_260]) ).
tcf(c_37299,plain,
skaf83(iPr_def_12) = sk5,
inference(forward_subsumption_resolution,[status(thm)],[c_37265,c_259,c_260]) ).
tcf(c_37300,plain,
skaf82(iPr_def_12) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_37263,c_259,c_260]) ).
tcf(c_37301,plain,
skaf82(iPr_def_12) != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_37282,c_259,c_260]) ).
tcf(c_37302,plain,
frontsegP(nil,skaf82(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_37271,c_9807,c_259,c_260]) ).
tcf(c_37303,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(skaf82(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37291,c_259,c_260]) ).
tcf(c_37307,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,cons(skaf83(iPr_def_12),X0))
| ~ ssList(X0)
| ~ frontsegP(skaf82(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37290,c_259,c_260]) ).
tcf(c_37311,plain,
! [X0: $i] :
( frontsegP(cons(skaf83(iPr_def_12),X0),iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37284,c_259,c_260]) ).
tcf(c_37315,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,skaf82(iPr_def_12))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37289,c_259,c_260]) ).
tcf(c_37320,plain,
! [X0: $i] :
( memberP(skaf82(iPr_def_12),X0)
| ( skaf83(iPr_def_12) = X0 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37277,c_259,c_260]) ).
tcf(c_37325,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf82(iPr_def_12),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37276,c_259,c_260]) ).
tcf(c_37330,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_12) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37288,c_259,c_260]) ).
tcf(c_37335,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_12) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37275,c_259,c_260]) ).
tcf(c_37340,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_12) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37287,c_259,c_260]) ).
tcf(c_37345,plain,
! [X0: $i,X1: $i] :
( ( skaf82(iPr_def_12) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37286,c_259,c_260]) ).
tcf(c_37350,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_12),skaf83(iPr_def_12))
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ ssList(app(X0,iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_37260,c_11021]) ).
tcf(c_37351,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_12),skaf83(iPr_def_12))
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37350,c_259,c_260]) ).
tcf(c_37355,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_12) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_12)))
| ~ ssList(app(X0,cons(X1,iPr_def_12))) ),
inference(light_normalisation,[status(thm)],[c_37285,c_11021]) ).
tcf(c_37356,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_12) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ equalelemsP(app(X0,cons(X1,iPr_def_12)))
| ~ ssList(app(X0,cons(X1,iPr_def_12))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37355,c_259,c_260]) ).
tcf(c_37362,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(iPr_def_12),X1)),iPr_def_12))
| ~ ssList(app(app(X0,cons(skaf83(iPr_def_12),X1)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_37297,c_11021]) ).
tcf(c_37363,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(skaf83(iPr_def_12),X1)),iPr_def_12))
| ~ ssList(app(app(X0,cons(skaf83(iPr_def_12),X1)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37362,c_259,c_260]) ).
tcf(c_37368,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ duplicatefreeP(app(app(X0,iPr_def_12),cons(skaf83(iPr_def_12),X1)))
| ~ ssList(app(app(X0,iPr_def_12),cons(skaf83(iPr_def_12),X1))) ),
inference(light_normalisation,[status(thm)],[c_37259,c_11021]) ).
tcf(c_37369,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_12),cons(skaf83(iPr_def_12),X1)))
| ~ ssList(app(app(X0,iPr_def_12),cons(skaf83(iPr_def_12),X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37368,c_259,c_260]) ).
tcf(c_37374,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_12))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_37296,c_11021]) ).
tcf(c_37375,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_12))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37374,c_259,c_260]) ).
tcf(c_37382,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_12))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_37295,c_11021]) ).
tcf(c_37383,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_12))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37382,c_259,c_260]) ).
tcf(c_37390,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ strictorderedP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_37258,c_11021]) ).
tcf(c_37391,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37390,c_259,c_260]) ).
tcf(c_37398,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ totalorderedP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_37257,c_11021]) ).
tcf(c_37399,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37398,c_259,c_260]) ).
tcf(c_37406,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_12))
| lt(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ strictorderP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_37294,c_11021]) ).
tcf(c_37407,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_12))
| lt(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37406,c_259,c_260]) ).
tcf(c_37415,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_12))
| leq(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ totalorderP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_37293,c_11021]) ).
tcf(c_37416,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_12))
| leq(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37415,c_259,c_260]) ).
tcf(c_37424,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_12))
| lt(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ strictorderP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_37256,c_11021]) ).
tcf(c_37425,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_12))
| lt(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37424,c_259,c_260]) ).
tcf(c_37433,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_12))
| leq(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ totalorderP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_37255,c_11021]) ).
tcf(c_37434,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_12))
| leq(skaf83(iPr_def_12),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37433,c_259,c_260]) ).
tcf(c_37442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ leq(X1,skaf83(iPr_def_12))
| ~ leq(skaf83(iPr_def_12),X1)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_37292,c_11021]) ).
tcf(c_37443,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(iPr_def_12))
| ~ leq(skaf83(iPr_def_12),X1)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37442,c_259,c_260]) ).
tcf(c_37451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_12))
| ~ ssList(skaf82(iPr_def_12))
| ~ leq(X1,skaf83(iPr_def_12))
| ~ leq(skaf83(iPr_def_12),X1)
| ~ cyclefreeP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_37254,c_11021]) ).
tcf(c_37452,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(iPr_def_12))
| ~ leq(skaf83(iPr_def_12),X1)
| ~ cyclefreeP(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37451,c_259,c_260]) ).
tcf(c_37460,plain,
cons(sk5,skaf82(iPr_def_12)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_11021,c_37299]) ).
tcf(c_37518,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf82(X0))))
| ( cons(sk6,skaf82(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf82(X0)))
| ~ ssList(cons(sk6,skaf82(X0))) ),
inference(superposition,[status(thm)],[c_11225,c_407]) ).
tcf(c_37519,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf82(X0))))
| ( cons(sk6,skaf82(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf82(X0)))
| ~ ssList(cons(sk6,skaf82(X0))) ),
inference(superposition,[status(thm)],[c_11225,c_406]) ).
tcf(c_37567,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,sk7)) ),
inference(superposition,[status(thm)],[c_303,c_26424]) ).
tcf(c_37568,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),skaf45(iPr_def_16,sk7))
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,sk7)) ),
inference(superposition,[status(thm)],[c_304,c_26424]) ).
tcf(c_37569,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),skaf45(iPr_def_16,sk7))
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37568,c_298]) ).
tcf(c_37572,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),nil)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37567,c_255,c_298]) ).
tcf(c_37583,plain,
! [X0: $i] :
( ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ ssList(cons(sk6,X0))
| ~ duplicatefreeP(app(iPr_def_15,cons(sk6,X0))) ),
inference(superposition,[status(thm)],[c_332,c_29297]) ).
tcf(c_37584,plain,
( ~ ssList(nil)
| ~ ssList(app(iPr_def_15,iPr_def_14))
| ~ duplicatefreeP(app(iPr_def_15,cons(sk6,nil))) ),
inference(superposition,[status(thm)],[c_32529,c_29297]) ).
tcf(c_37586,plain,
( ~ ssList(nil)
| ~ duplicatefreeP(app(iPr_def_15,iPr_def_14))
| ~ ssList(app(iPr_def_15,iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_37584,c_32529]) ).
tcf(c_37587,plain,
( ~ duplicatefreeP(app(iPr_def_15,iPr_def_14))
| ~ ssList(app(iPr_def_15,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37586,c_255]) ).
tcf(c_37590,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssList(cons(sk6,X0))
| ~ duplicatefreeP(app(iPr_def_15,cons(sk6,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37583,c_24748]) ).
tcf(c_37601,plain,
! [X0: $i] :
( ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ ssList(cons(sk6,X0))
| ~ duplicatefreeP(app(iPr_def_16,cons(sk6,X0))) ),
inference(superposition,[status(thm)],[c_332,c_29441]) ).
tcf(c_37602,plain,
( ~ ssList(nil)
| ~ ssList(app(iPr_def_16,iPr_def_14))
| ~ duplicatefreeP(app(iPr_def_16,cons(sk6,nil))) ),
inference(superposition,[status(thm)],[c_32529,c_29441]) ).
tcf(c_37604,plain,
( ~ ssList(nil)
| ~ duplicatefreeP(app(iPr_def_16,iPr_def_14))
| ~ ssList(app(iPr_def_16,iPr_def_14)) ),
inference(light_normalisation,[status(thm)],[c_37602,c_32529]) ).
tcf(c_37605,plain,
( ~ duplicatefreeP(app(iPr_def_16,iPr_def_14))
| ~ ssList(app(iPr_def_16,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37604,c_255]) ).
tcf(c_37608,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssList(cons(sk6,X0))
| ~ duplicatefreeP(app(iPr_def_16,cons(sk6,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37601,c_9020]) ).
tcf(c_37613,plain,
( ( cons(sk9,nil) = nil )
| ( cons(sk9,sk4) != nil ) ),
inference(global_subsumption_just,[status(thm)],[c_12531,c_443,c_255,c_11180,c_12531]) ).
tcf(c_37615,plain,
( ( nil = iPr_def_14 )
| ( cons(sk6,sk4) != nil ) ),
inference(light_normalisation,[status(thm)],[c_37613,c_28897,c_32529]) ).
tcf(c_37616,plain,
cons(sk6,sk4) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_37615,c_10149]) ).
tcf(c_37617,plain,
( ( cons(sk9,nil) = nil )
| ( cons(sk9,sk7) != nil ) ),
inference(global_subsumption_just,[status(thm)],[c_12578,c_443,c_255,c_11180,c_12578]) ).
tcf(c_37619,plain,
( ( nil = iPr_def_14 )
| ( cons(sk6,sk7) != nil ) ),
inference(light_normalisation,[status(thm)],[c_37617,c_28897,c_32529]) ).
tcf(c_37620,plain,
cons(sk6,sk7) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_37619,c_10149]) ).
tcf(c_37621,plain,
( ( cons(sk9,nil) = nil )
| ( cons(sk9,sk8) != nil ) ),
inference(global_subsumption_just,[status(thm)],[c_15028,c_443,c_255,c_11180,c_15028]) ).
tcf(c_37623,plain,
( ( nil = iPr_def_14 )
| ( cons(sk6,sk8) != nil ) ),
inference(light_normalisation,[status(thm)],[c_37621,c_28897,c_32529]) ).
tcf(c_37624,plain,
cons(sk6,sk8) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_37623,c_10149]) ).
tcf(c_37631,plain,
! [X0: $i] :
( ( app(app(sk4,sk4),X0) = app(sk4,app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6486,c_16215]) ).
tcf(c_37632,plain,
! [X0: $i] :
( ( app(app(sk7,sk4),X0) = app(sk7,app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6483,c_16215]) ).
tcf(c_37633,plain,
! [X0: $i] :
( ( app(app(sk8,sk4),X0) = app(sk8,app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6482,c_16215]) ).
tcf(c_37634,plain,
! [X0: $i] :
( ( app(app(nil,sk4),X0) = app(nil,app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_255,c_16215]) ).
tcf(c_37635,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf82(X1),sk4),X0) = app(skaf82(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_260,c_16215]) ).
tcf(c_37636,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf81(X1),sk4),X0) = app(skaf81(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_261,c_16215]) ).
tcf(c_37637,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf80(X1),sk4),X0) = app(skaf80(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_262,c_16215]) ).
tcf(c_37638,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf77(X1),sk4),X0) = app(skaf77(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_265,c_16215]) ).
tcf(c_37639,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf76(X1),sk4),X0) = app(skaf76(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_266,c_16215]) ).
tcf(c_37640,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf75(X1),sk4),X0) = app(skaf75(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_267,c_16215]) ).
tcf(c_37641,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf73(X1),sk4),X0) = app(skaf73(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_269,c_16215]) ).
tcf(c_37642,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf72(X1),sk4),X0) = app(skaf72(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_270,c_16215]) ).
tcf(c_37643,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf71(X1),sk4),X0) = app(skaf71(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_271,c_16215]) ).
tcf(c_37644,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf68(X1),sk4),X0) = app(skaf68(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_274,c_16215]) ).
tcf(c_37645,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf67(X1),sk4),X0) = app(skaf67(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_275,c_16215]) ).
tcf(c_37646,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf66(X1),sk4),X0) = app(skaf66(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_276,c_16215]) ).
tcf(c_37647,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf63(X1),sk4),X0) = app(skaf63(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_279,c_16215]) ).
tcf(c_37648,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf62(X1),sk4),X0) = app(skaf62(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_280,c_16215]) ).
tcf(c_37649,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf61(X1),sk4),X0) = app(skaf61(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_281,c_16215]) ).
tcf(c_37650,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf58(X1),sk4),X0) = app(skaf58(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_284,c_16215]) ).
tcf(c_37651,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf57(X1),sk4),X0) = app(skaf57(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_285,c_16215]) ).
tcf(c_37652,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf56(X1),sk4),X0) = app(skaf56(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_286,c_16215]) ).
tcf(c_37653,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf53(X1),sk4),X0) = app(skaf53(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_289,c_16215]) ).
tcf(c_37654,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf52(X1),sk4),X0) = app(skaf52(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_290,c_16215]) ).
tcf(c_37655,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf51(X1),sk4),X0) = app(skaf51(X1),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_291,c_16215]) ).
tcf(c_37656,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf48(X1,X2),sk4),X0) = app(skaf48(X1,X2),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_295,c_16215]) ).
tcf(c_37657,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf47(X1,X2),sk4),X0) = app(skaf47(X1,X2),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_296,c_16215]) ).
tcf(c_37658,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf46(X1,X2),sk4),X0) = app(skaf46(X1,X2),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_297,c_16215]) ).
tcf(c_37659,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf45(X1,X2),sk4),X0) = app(skaf45(X1,X2),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_298,c_16215]) ).
tcf(c_37660,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf43(X1,X2),sk4),X0) = app(skaf43(X1,X2),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_299,c_16215]) ).
tcf(c_37661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf42(X1,X2),sk4),X0) = app(skaf42(X1,X2),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_300,c_16215]) ).
tcf(c_37662,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(app(tl(X0),sk4),X1) = app(tl(X0),app(sk4,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_16215]) ).
tcf(c_37663,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(app(X1,X0),sk4),X2) = app(app(X1,X0),app(sk4,X2)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_16215]) ).
tcf(c_37664,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(cons(X2,X0),sk4),X1) = app(cons(X2,X0),app(sk4,X1)) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_16215]) ).
tcf(c_37665,plain,
! [X0: $i] :
( ( app(app(iPr_def_16,sk4),X0) = app(iPr_def_16,app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9020,c_16215]) ).
tcf(c_37666,plain,
! [X0: $i] :
( ( app(app(iPr_def_13,sk4),X0) = app(iPr_def_13,app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9527,c_16215]) ).
tcf(c_37667,plain,
! [X0: $i] :
( ( app(app(iPr_def_12,sk4),X0) = app(iPr_def_12,app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9489,c_16215]) ).
tcf(c_37668,plain,
! [X0: $i] :
( ( app(app(iPr_def_15,sk4),X0) = app(iPr_def_15,app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_24748,c_16215]) ).
tcf(c_37669,plain,
! [X0: $i] :
( ( app(app(iPr_def_14,sk4),X0) = app(iPr_def_14,app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9488,c_16215]) ).
tcf(c_37670,plain,
! [X0: $i] :
( ( app(app(cons(sk6,sk4),sk4),X0) = app(cons(sk6,sk4),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28942,c_16215]) ).
tcf(c_37671,plain,
! [X0: $i] :
( ( app(app(cons(sk6,sk7),sk4),X0) = app(cons(sk6,sk7),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28940,c_16215]) ).
tcf(c_37672,plain,
! [X0: $i] :
( ( app(app(cons(sk6,sk8),sk4),X0) = app(cons(sk6,sk8),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28938,c_16215]) ).
tcf(c_37673,plain,
! [X0: $i] :
( ( app(cons(sk6,sk4),X0) = app(iPr_def_14,app(sk4,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_37669,c_28958]) ).
tcf(c_37684,plain,
! [X0: $i] :
( ( app(nil,app(sk4,X0)) = app(sk4,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_37634,c_9196]) ).
tcf(c_37935,plain,
app(app(sk4,sk4),sk4) = app(sk4,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_6486,c_37631]) ).
tcf(c_37936,plain,
app(app(sk4,sk4),sk7) = app(sk4,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_6483,c_37631]) ).
tcf(c_37937,plain,
app(app(sk4,sk4),sk8) = app(sk4,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_6482,c_37631]) ).
tcf(c_37938,plain,
app(app(sk4,sk4),nil) = app(sk4,app(sk4,nil)),
inference(superposition,[status(thm)],[c_255,c_37631]) ).
tcf(c_37939,plain,
! [X0: $i] : app(app(sk4,sk4),skaf82(X0)) = app(sk4,app(sk4,skaf82(X0))),
inference(superposition,[status(thm)],[c_260,c_37631]) ).
tcf(c_37940,plain,
! [X0: $i] : app(app(sk4,sk4),skaf81(X0)) = app(sk4,app(sk4,skaf81(X0))),
inference(superposition,[status(thm)],[c_261,c_37631]) ).
tcf(c_37941,plain,
! [X0: $i] : app(app(sk4,sk4),skaf80(X0)) = app(sk4,app(sk4,skaf80(X0))),
inference(superposition,[status(thm)],[c_262,c_37631]) ).
tcf(c_37942,plain,
! [X0: $i] : app(app(sk4,sk4),skaf77(X0)) = app(sk4,app(sk4,skaf77(X0))),
inference(superposition,[status(thm)],[c_265,c_37631]) ).
tcf(c_37943,plain,
! [X0: $i] : app(app(sk4,sk4),skaf76(X0)) = app(sk4,app(sk4,skaf76(X0))),
inference(superposition,[status(thm)],[c_266,c_37631]) ).
tcf(c_37944,plain,
! [X0: $i] : app(app(sk4,sk4),skaf75(X0)) = app(sk4,app(sk4,skaf75(X0))),
inference(superposition,[status(thm)],[c_267,c_37631]) ).
tcf(c_37945,plain,
! [X0: $i] : app(app(sk4,sk4),skaf73(X0)) = app(sk4,app(sk4,skaf73(X0))),
inference(superposition,[status(thm)],[c_269,c_37631]) ).
tcf(c_37946,plain,
! [X0: $i] : app(app(sk4,sk4),skaf72(X0)) = app(sk4,app(sk4,skaf72(X0))),
inference(superposition,[status(thm)],[c_270,c_37631]) ).
tcf(c_37947,plain,
! [X0: $i] : app(app(sk4,sk4),skaf71(X0)) = app(sk4,app(sk4,skaf71(X0))),
inference(superposition,[status(thm)],[c_271,c_37631]) ).
tcf(c_37948,plain,
! [X0: $i] : app(app(sk4,sk4),skaf68(X0)) = app(sk4,app(sk4,skaf68(X0))),
inference(superposition,[status(thm)],[c_274,c_37631]) ).
tcf(c_37949,plain,
! [X0: $i] : app(app(sk4,sk4),skaf67(X0)) = app(sk4,app(sk4,skaf67(X0))),
inference(superposition,[status(thm)],[c_275,c_37631]) ).
tcf(c_37950,plain,
! [X0: $i] : app(app(sk4,sk4),skaf66(X0)) = app(sk4,app(sk4,skaf66(X0))),
inference(superposition,[status(thm)],[c_276,c_37631]) ).
tcf(c_37951,plain,
! [X0: $i] : app(app(sk4,sk4),skaf63(X0)) = app(sk4,app(sk4,skaf63(X0))),
inference(superposition,[status(thm)],[c_279,c_37631]) ).
tcf(c_37952,plain,
! [X0: $i] : app(app(sk4,sk4),skaf62(X0)) = app(sk4,app(sk4,skaf62(X0))),
inference(superposition,[status(thm)],[c_280,c_37631]) ).
tcf(c_37953,plain,
! [X0: $i] : app(app(sk4,sk4),skaf61(X0)) = app(sk4,app(sk4,skaf61(X0))),
inference(superposition,[status(thm)],[c_281,c_37631]) ).
tcf(c_37954,plain,
! [X0: $i] : app(app(sk4,sk4),skaf58(X0)) = app(sk4,app(sk4,skaf58(X0))),
inference(superposition,[status(thm)],[c_284,c_37631]) ).
tcf(c_37955,plain,
! [X0: $i] : app(app(sk4,sk4),skaf57(X0)) = app(sk4,app(sk4,skaf57(X0))),
inference(superposition,[status(thm)],[c_285,c_37631]) ).
tcf(c_37956,plain,
! [X0: $i] : app(app(sk4,sk4),skaf56(X0)) = app(sk4,app(sk4,skaf56(X0))),
inference(superposition,[status(thm)],[c_286,c_37631]) ).
tcf(c_37957,plain,
! [X0: $i] : app(app(sk4,sk4),skaf53(X0)) = app(sk4,app(sk4,skaf53(X0))),
inference(superposition,[status(thm)],[c_289,c_37631]) ).
tcf(c_37958,plain,
! [X0: $i] : app(app(sk4,sk4),skaf52(X0)) = app(sk4,app(sk4,skaf52(X0))),
inference(superposition,[status(thm)],[c_290,c_37631]) ).
tcf(c_37959,plain,
! [X0: $i] : app(app(sk4,sk4),skaf51(X0)) = app(sk4,app(sk4,skaf51(X0))),
inference(superposition,[status(thm)],[c_291,c_37631]) ).
tcf(c_37960,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk4),skaf48(X0,X1)) = app(sk4,app(sk4,skaf48(X0,X1))),
inference(superposition,[status(thm)],[c_295,c_37631]) ).
tcf(c_37961,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk4),skaf47(X0,X1)) = app(sk4,app(sk4,skaf47(X0,X1))),
inference(superposition,[status(thm)],[c_296,c_37631]) ).
tcf(c_37962,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk4),skaf46(X0,X1)) = app(sk4,app(sk4,skaf46(X0,X1))),
inference(superposition,[status(thm)],[c_297,c_37631]) ).
tcf(c_37963,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk4),skaf45(X0,X1)) = app(sk4,app(sk4,skaf45(X0,X1))),
inference(superposition,[status(thm)],[c_298,c_37631]) ).
tcf(c_37964,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk4),skaf43(X0,X1)) = app(sk4,app(sk4,skaf43(X0,X1))),
inference(superposition,[status(thm)],[c_299,c_37631]) ).
tcf(c_37965,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk4),skaf42(X0,X1)) = app(sk4,app(sk4,skaf42(X0,X1))),
inference(superposition,[status(thm)],[c_300,c_37631]) ).
tcf(c_37966,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sk4,sk4),tl(X0)) = app(sk4,app(sk4,tl(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_37631]) ).
tcf(c_37967,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk4,sk4),app(X1,X0)) = app(sk4,app(sk4,app(X1,X0))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_37631]) ).
tcf(c_37968,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk4,sk4),cons(X1,X0)) = app(sk4,app(sk4,cons(X1,X0))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_37631]) ).
tcf(c_37969,plain,
app(app(sk4,sk4),iPr_def_16) = app(sk4,app(sk4,iPr_def_16)),
inference(superposition,[status(thm)],[c_9020,c_37631]) ).
tcf(c_37970,plain,
app(app(sk4,sk4),iPr_def_13) = app(sk4,app(sk4,iPr_def_13)),
inference(superposition,[status(thm)],[c_9527,c_37631]) ).
tcf(c_37971,plain,
app(app(sk4,sk4),iPr_def_12) = app(sk4,app(sk4,iPr_def_12)),
inference(superposition,[status(thm)],[c_9489,c_37631]) ).
tcf(c_37972,plain,
app(app(sk4,sk4),iPr_def_15) = app(sk4,app(sk4,iPr_def_15)),
inference(superposition,[status(thm)],[c_24748,c_37631]) ).
tcf(c_37973,plain,
app(app(sk4,sk4),iPr_def_14) = app(sk4,app(sk4,iPr_def_14)),
inference(superposition,[status(thm)],[c_9488,c_37631]) ).
tcf(c_37974,plain,
app(app(sk4,sk4),cons(sk6,sk4)) = app(sk4,app(sk4,cons(sk6,sk4))),
inference(superposition,[status(thm)],[c_28942,c_37631]) ).
tcf(c_37975,plain,
app(app(sk4,sk4),cons(sk6,sk7)) = app(sk4,app(sk4,cons(sk6,sk7))),
inference(superposition,[status(thm)],[c_28940,c_37631]) ).
tcf(c_37976,plain,
app(app(sk4,sk4),cons(sk6,sk8)) = app(sk4,app(sk4,cons(sk6,sk8))),
inference(superposition,[status(thm)],[c_28938,c_37631]) ).
tcf(c_37977,plain,
app(app(sk4,sk4),nil) = app(sk4,sk4),
inference(light_normalisation,[status(thm)],[c_37938,c_9101]) ).
tcf(c_38159,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf81(X0)) = nil )
| ( cons(sk5,skaf81(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf81(X0)))
| ( skaf81(X0) != tl(X1) )
| ( hd(cons(sk5,skaf81(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10186,c_424]) ).
tcf(c_38162,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf81(X0)) = nil )
| ( cons(sk5,skaf81(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf81(X0)))
| ( hd(X1) != sk5 )
| ( skaf81(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_38159,c_10654]) ).
tcf(c_38170,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf81(X0))))
| ( cons(sk6,skaf81(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf81(X0)))
| ~ ssList(cons(sk6,skaf81(X0))) ),
inference(superposition,[status(thm)],[c_11226,c_407]) ).
tcf(c_38171,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf81(X0))))
| ( cons(sk6,skaf81(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf81(X0)))
| ~ ssList(cons(sk6,skaf81(X0))) ),
inference(superposition,[status(thm)],[c_11226,c_406]) ).
tcf(c_38187,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf80(X0))))
| ( cons(sk6,skaf80(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf80(X0)))
| ~ ssList(cons(sk6,skaf80(X0))) ),
inference(superposition,[status(thm)],[c_11227,c_407]) ).
tcf(c_38188,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf80(X0))))
| ( cons(sk6,skaf80(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf80(X0)))
| ~ ssList(cons(sk6,skaf80(X0))) ),
inference(superposition,[status(thm)],[c_11227,c_406]) ).
tcf(c_38204,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf77(X0))))
| ( cons(sk6,skaf77(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf77(X0)))
| ~ ssList(cons(sk6,skaf77(X0))) ),
inference(superposition,[status(thm)],[c_11228,c_407]) ).
tcf(c_38205,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf77(X0))))
| ( cons(sk6,skaf77(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf77(X0)))
| ~ ssList(cons(sk6,skaf77(X0))) ),
inference(superposition,[status(thm)],[c_11228,c_406]) ).
tcf(c_38221,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf76(X0))))
| ( cons(sk6,skaf76(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf76(X0)))
| ~ ssList(cons(sk6,skaf76(X0))) ),
inference(superposition,[status(thm)],[c_11229,c_407]) ).
tcf(c_38222,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf76(X0))))
| ( cons(sk6,skaf76(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf76(X0)))
| ~ ssList(cons(sk6,skaf76(X0))) ),
inference(superposition,[status(thm)],[c_11229,c_406]) ).
tcf(c_38238,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf75(X0))))
| ( cons(sk6,skaf75(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf75(X0)))
| ~ ssList(cons(sk6,skaf75(X0))) ),
inference(superposition,[status(thm)],[c_11230,c_407]) ).
tcf(c_38239,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf75(X0))))
| ( cons(sk6,skaf75(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf75(X0)))
| ~ ssList(cons(sk6,skaf75(X0))) ),
inference(superposition,[status(thm)],[c_11230,c_406]) ).
tcf(c_38316,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf73(X0))))
| ( cons(sk6,skaf73(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf73(X0)))
| ~ ssList(cons(sk6,skaf73(X0))) ),
inference(superposition,[status(thm)],[c_11231,c_407]) ).
tcf(c_38317,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf73(X0))))
| ( cons(sk6,skaf73(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf73(X0)))
| ~ ssList(cons(sk6,skaf73(X0))) ),
inference(superposition,[status(thm)],[c_11231,c_406]) ).
tcf(c_38333,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf72(X0))))
| ( cons(sk6,skaf72(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf72(X0)))
| ~ ssList(cons(sk6,skaf72(X0))) ),
inference(superposition,[status(thm)],[c_11232,c_407]) ).
tcf(c_38334,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf72(X0))))
| ( cons(sk6,skaf72(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf72(X0)))
| ~ ssList(cons(sk6,skaf72(X0))) ),
inference(superposition,[status(thm)],[c_11232,c_406]) ).
tcf(c_38350,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf71(X0))))
| ( cons(sk6,skaf71(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf71(X0)))
| ~ ssList(cons(sk6,skaf71(X0))) ),
inference(superposition,[status(thm)],[c_11233,c_407]) ).
tcf(c_38351,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf71(X0))))
| ( cons(sk6,skaf71(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf71(X0)))
| ~ ssList(cons(sk6,skaf71(X0))) ),
inference(superposition,[status(thm)],[c_11233,c_406]) ).
tcf(c_38368,plain,
( ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37935,c_332]) ).
tcf(c_38369,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(app(app(sk4,sk4),sk4),X0)) ),
inference(superposition,[status(thm)],[c_37935,c_420]) ).
tcf(c_38370,plain,
! [X0: $i] :
( ( app(sk4,sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_37935,c_398]) ).
tcf(c_38372,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk4,sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk4))
| ~ memberP(app(sk4,app(sk4,sk4)),X0) ),
inference(superposition,[status(thm)],[c_37935,c_405]) ).
tcf(c_38373,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_37935,c_366]) ).
tcf(c_38374,plain,
( ( app(sk4,sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_37935,c_365]) ).
tcf(c_38375,plain,
( frontsegP(app(sk4,app(sk4,sk4)),app(sk4,sk4))
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37935,c_808]) ).
tcf(c_38376,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37935,c_807]) ).
tcf(c_38377,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37935,c_388]) ).
tcf(c_38378,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37935,c_383]) ).
tcf(c_38379,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ( app(app(sk4,sk4),X0) != app(sk4,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_37935,c_397]) ).
tcf(c_38380,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk4))
| ~ memberP(app(sk4,sk4),X0) ),
inference(superposition,[status(thm)],[c_37935,c_387]) ).
tcf(c_38381,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(app(sk4,sk4),X0) ),
inference(superposition,[status(thm)],[c_37935,c_384]) ).
tcf(c_38382,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37935,c_419]) ).
tcf(c_38383,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_37935,c_419]) ).
tcf(c_38384,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(app(app(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_37935,c_420]) ).
tcf(c_38385,plain,
( ( app(sk4,sk4) = nil )
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_37935,c_17629]) ).
tcf(c_38386,plain,
( ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38368,c_6486]) ).
tcf(c_38389,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk4)
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38376,c_6486]) ).
tcf(c_38392,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(light_normalisation,[status(thm)],[c_38384,c_37935]) ).
tcf(c_38393,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk4)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38392,c_6486]) ).
tcf(c_38396,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38383,c_6486]) ).
tcf(c_38400,plain,
( frontsegP(app(sk4,app(sk4,sk4)),app(sk4,sk4))
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38375,c_6486]) ).
tcf(c_38406,plain,
( ( sk4 = nil )
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38373,c_6486]) ).
tcf(c_38410,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38378,c_6486]) ).
tcf(c_38415,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38377,c_6486]) ).
tcf(c_38420,plain,
( ( app(sk4,sk4) = nil )
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38374,c_6486]) ).
tcf(c_38424,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(app(sk4,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38381,c_6486]) ).
tcf(c_38429,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk4))
| ~ memberP(app(sk4,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38380,c_6486]) ).
tcf(c_38434,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38382,c_6486]) ).
tcf(c_38440,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk4,sk4),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk4))
| ~ memberP(app(sk4,app(sk4,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38372,c_6486]) ).
tcf(c_38446,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ( app(app(sk4,sk4),X0) != app(sk4,app(sk4,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38379,c_6486]) ).
tcf(c_38451,plain,
! [X0: $i] :
( ( app(sk4,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38370,c_6486]) ).
tcf(c_38456,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(app(sk4,app(sk4,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_38369,c_37935]) ).
tcf(c_38457,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(app(sk4,app(sk4,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38456,c_6486]) ).
tcf(c_38496,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk4)),sk4),X0) = app(app(sk4,app(sk4,sk4)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_16215]) ).
tcf(c_38497,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk4,app(sk4,sk4)))) = app(cons(X1,X0),app(sk4,app(sk4,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_404]) ).
tcf(c_38498,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk4,app(sk4,sk4))),X0) = app(X1,app(app(sk4,app(sk4,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_396]) ).
tcf(c_38499,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk4)) = nil )
| ( app(tl(app(sk4,app(sk4,sk4))),X0) = tl(app(app(sk4,app(sk4,sk4)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_380]) ).
tcf(c_38500,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk4)) = nil )
| ( hd(app(app(sk4,app(sk4,sk4)),X0)) = hd(app(sk4,app(sk4,sk4))) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_370]) ).
tcf(c_38501,plain,
( ( app(app(sk4,sk4),app(sk4,app(sk4,sk4))) = app(sk4,app(sk4,app(sk4,app(sk4,sk4)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_37631]) ).
tcf(c_38502,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk4,app(sk4,sk4))) = tl(app(sk8,app(sk4,app(sk4,sk4)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_14611]) ).
tcf(c_38503,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk4,app(sk4,sk4))) = tl(app(sk7,app(sk4,app(sk4,sk4)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_14610]) ).
tcf(c_38504,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk4,app(sk4,sk4))) = tl(app(sk4,app(sk4,app(sk4,sk4)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_14609]) ).
tcf(c_38505,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk4,app(sk4,sk4)))) = hd(sk8) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_11903]) ).
tcf(c_38506,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk4,app(sk4,sk4)))) = hd(sk7) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_11902]) ).
tcf(c_38507,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk4,app(sk4,sk4)))) = hd(sk4) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_11901]) ).
tcf(c_38508,plain,
( cyclefreeP(app(sk4,app(sk4,sk4)))
| ( app(app(skaf51(app(sk4,app(sk4,sk4))),cons(skaf49(app(sk4,app(sk4,sk4))),skaf52(app(sk4,app(sk4,sk4))))),cons(skaf50(app(sk4,app(sk4,sk4))),skaf53(app(sk4,app(sk4,sk4))))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_414]) ).
tcf(c_38509,plain,
( totalorderP(app(sk4,app(sk4,sk4)))
| ( app(app(skaf56(app(sk4,app(sk4,sk4))),cons(skaf54(app(sk4,app(sk4,sk4))),skaf57(app(sk4,app(sk4,sk4))))),cons(skaf55(app(sk4,app(sk4,sk4))),skaf58(app(sk4,app(sk4,sk4))))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_413]) ).
tcf(c_38510,plain,
( strictorderP(app(sk4,app(sk4,sk4)))
| ( app(app(skaf61(app(sk4,app(sk4,sk4))),cons(skaf59(app(sk4,app(sk4,sk4))),skaf62(app(sk4,app(sk4,sk4))))),cons(skaf60(app(sk4,app(sk4,sk4))),skaf63(app(sk4,app(sk4,sk4))))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_412]) ).
tcf(c_38511,plain,
( totalorderedP(app(sk4,app(sk4,sk4)))
| ( app(app(skaf66(app(sk4,app(sk4,sk4))),cons(skaf64(app(sk4,app(sk4,sk4))),skaf67(app(sk4,app(sk4,sk4))))),cons(skaf65(app(sk4,app(sk4,sk4))),skaf68(app(sk4,app(sk4,sk4))))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_411]) ).
tcf(c_38512,plain,
( strictorderedP(app(sk4,app(sk4,sk4)))
| ( app(app(skaf71(app(sk4,app(sk4,sk4))),cons(skaf69(app(sk4,app(sk4,sk4))),skaf72(app(sk4,app(sk4,sk4))))),cons(skaf70(app(sk4,app(sk4,sk4))),skaf73(app(sk4,app(sk4,sk4))))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_410]) ).
tcf(c_38513,plain,
( duplicatefreeP(app(sk4,app(sk4,sk4)))
| ( app(app(skaf75(app(sk4,app(sk4,sk4))),cons(skaf74(app(sk4,app(sk4,sk4))),skaf76(app(sk4,app(sk4,sk4))))),cons(skaf74(app(sk4,app(sk4,sk4))),skaf77(app(sk4,app(sk4,sk4))))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_409]) ).
tcf(c_38514,plain,
( equalelemsP(app(sk4,app(sk4,sk4)))
| ( app(skaf80(app(sk4,app(sk4,sk4))),cons(skaf78(app(sk4,app(sk4,sk4))),cons(skaf79(app(sk4,app(sk4,sk4))),skaf81(app(sk4,app(sk4,sk4)))))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_389]) ).
tcf(c_38515,plain,
( ( hd(cons(sk6,app(sk4,app(sk4,sk4)))) = sk6 )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_10017]) ).
tcf(c_38516,plain,
( ( app(sk4,app(sk4,sk4)) = nil )
| ( cons(skaf83(app(sk4,app(sk4,sk4))),skaf82(app(sk4,app(sk4,sk4)))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_356]) ).
tcf(c_38517,plain,
( ( app(sk4,app(sk4,sk4)) = nil )
| ( cons(hd(app(sk4,app(sk4,sk4))),tl(app(sk4,app(sk4,sk4)))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_351]) ).
tcf(c_38518,plain,
( ( hd(cons(sk5,app(sk4,app(sk4,sk4)))) = sk5 )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_10016]) ).
tcf(c_38519,plain,
( ( tl(cons(sk6,app(sk4,app(sk4,sk4)))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_9887]) ).
tcf(c_38520,plain,
( ( tl(cons(sk5,app(sk4,app(sk4,sk4)))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_9886]) ).
tcf(c_38521,plain,
( duplicatefreeP(app(sk4,app(sk4,sk4)))
| ~ iPr_def_11
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_6471]) ).
tcf(c_38522,plain,
( ( app(nil,app(sk4,app(sk4,sk4))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_321]) ).
tcf(c_38523,plain,
( ( app(app(sk4,app(sk4,sk4)),nil) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_320]) ).
tcf(c_38735,plain,
( ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37936,c_332]) ).
tcf(c_38736,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(app(app(sk4,sk4),sk7),X0)) ),
inference(superposition,[status(thm)],[c_37936,c_420]) ).
tcf(c_38737,plain,
! [X0: $i] :
( ( app(sk4,sk4) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_37936,c_398]) ).
tcf(c_38739,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk4,sk4),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk4))
| ~ memberP(app(sk4,app(sk4,sk7)),X0) ),
inference(superposition,[status(thm)],[c_37936,c_405]) ).
tcf(c_38740,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_37936,c_366]) ).
tcf(c_38741,plain,
( ( app(sk4,sk4) = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_37936,c_365]) ).
tcf(c_38742,plain,
( frontsegP(app(sk4,app(sk4,sk7)),app(sk4,sk4))
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37936,c_808]) ).
tcf(c_38743,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37936,c_807]) ).
tcf(c_38744,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37936,c_388]) ).
tcf(c_38745,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37936,c_383]) ).
tcf(c_38746,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ( app(app(sk4,sk4),X0) != app(sk4,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_37936,c_397]) ).
tcf(c_38747,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk4))
| ~ memberP(app(sk4,sk4),X0) ),
inference(superposition,[status(thm)],[c_37936,c_387]) ).
tcf(c_38748,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(app(sk4,sk4),X0) ),
inference(superposition,[status(thm)],[c_37936,c_384]) ).
tcf(c_38749,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37936,c_419]) ).
tcf(c_38750,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_37936,c_419]) ).
tcf(c_38751,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk4)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(app(sk4,sk4),sk7)) ),
inference(superposition,[status(thm)],[c_37936,c_420]) ).
tcf(c_38752,plain,
( ( app(sk4,sk4) = nil )
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_37936,c_17625]) ).
tcf(c_38753,plain,
( ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38735,c_6483]) ).
tcf(c_38756,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38743,c_6483]) ).
tcf(c_38759,plain,
( frontsegP(app(sk4,app(sk4,sk7)),app(sk4,sk4))
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38742,c_6483]) ).
tcf(c_38765,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk4)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(light_normalisation,[status(thm)],[c_38751,c_37936]) ).
tcf(c_38766,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38765,c_6483,c_6486]) ).
tcf(c_38769,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38750,c_6483,c_6486]) ).
tcf(c_38773,plain,
( ( sk7 = nil )
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38740,c_6483]) ).
tcf(c_38777,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38745,c_6483]) ).
tcf(c_38782,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38744,c_6483]) ).
tcf(c_38787,plain,
( ( app(sk4,sk4) = nil )
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38741,c_6483]) ).
tcf(c_38791,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(app(sk4,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38748,c_6483]) ).
tcf(c_38796,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk4))
| ~ memberP(app(sk4,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38747,c_6483]) ).
tcf(c_38801,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38749,c_6483]) ).
tcf(c_38807,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk4,sk4),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk4))
| ~ memberP(app(sk4,app(sk4,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38739,c_6483]) ).
tcf(c_38813,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ( app(app(sk4,sk4),X0) != app(sk4,app(sk4,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38746,c_6483]) ).
tcf(c_38818,plain,
! [X0: $i] :
( ( app(sk4,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38737,c_6483]) ).
tcf(c_38823,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(app(sk4,app(sk4,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_38736,c_37936]) ).
tcf(c_38824,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(app(sk4,app(sk4,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38823,c_6483]) ).
tcf(c_39007,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk7)),sk4),X0) = app(app(sk4,app(sk4,sk7)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_16215]) ).
tcf(c_39008,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk4,app(sk4,sk7)))) = app(cons(X1,X0),app(sk4,app(sk4,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_404]) ).
tcf(c_39009,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk4,app(sk4,sk7))),X0) = app(X1,app(app(sk4,app(sk4,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_396]) ).
tcf(c_39010,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk7)) = nil )
| ( app(tl(app(sk4,app(sk4,sk7))),X0) = tl(app(app(sk4,app(sk4,sk7)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_380]) ).
tcf(c_39011,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk7)) = nil )
| ( hd(app(app(sk4,app(sk4,sk7)),X0)) = hd(app(sk4,app(sk4,sk7))) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_370]) ).
tcf(c_39012,plain,
( ( app(app(sk4,sk4),app(sk4,app(sk4,sk7))) = app(sk4,app(sk4,app(sk4,app(sk4,sk7)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_37631]) ).
tcf(c_39013,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk4,app(sk4,sk7))) = tl(app(sk8,app(sk4,app(sk4,sk7)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_14611]) ).
tcf(c_39014,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk4,app(sk4,sk7))) = tl(app(sk7,app(sk4,app(sk4,sk7)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_14610]) ).
tcf(c_39015,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk4,app(sk4,sk7))) = tl(app(sk4,app(sk4,app(sk4,sk7)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_14609]) ).
tcf(c_39016,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk4,app(sk4,sk7)))) = hd(sk8) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_11903]) ).
tcf(c_39017,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk4,app(sk4,sk7)))) = hd(sk7) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_11902]) ).
tcf(c_39018,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk4,app(sk4,sk7)))) = hd(sk4) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_11901]) ).
tcf(c_39019,plain,
( cyclefreeP(app(sk4,app(sk4,sk7)))
| ( app(app(skaf51(app(sk4,app(sk4,sk7))),cons(skaf49(app(sk4,app(sk4,sk7))),skaf52(app(sk4,app(sk4,sk7))))),cons(skaf50(app(sk4,app(sk4,sk7))),skaf53(app(sk4,app(sk4,sk7))))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_414]) ).
tcf(c_39020,plain,
( totalorderP(app(sk4,app(sk4,sk7)))
| ( app(app(skaf56(app(sk4,app(sk4,sk7))),cons(skaf54(app(sk4,app(sk4,sk7))),skaf57(app(sk4,app(sk4,sk7))))),cons(skaf55(app(sk4,app(sk4,sk7))),skaf58(app(sk4,app(sk4,sk7))))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_413]) ).
tcf(c_39021,plain,
( strictorderP(app(sk4,app(sk4,sk7)))
| ( app(app(skaf61(app(sk4,app(sk4,sk7))),cons(skaf59(app(sk4,app(sk4,sk7))),skaf62(app(sk4,app(sk4,sk7))))),cons(skaf60(app(sk4,app(sk4,sk7))),skaf63(app(sk4,app(sk4,sk7))))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_412]) ).
tcf(c_39022,plain,
( totalorderedP(app(sk4,app(sk4,sk7)))
| ( app(app(skaf66(app(sk4,app(sk4,sk7))),cons(skaf64(app(sk4,app(sk4,sk7))),skaf67(app(sk4,app(sk4,sk7))))),cons(skaf65(app(sk4,app(sk4,sk7))),skaf68(app(sk4,app(sk4,sk7))))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_411]) ).
tcf(c_39023,plain,
( strictorderedP(app(sk4,app(sk4,sk7)))
| ( app(app(skaf71(app(sk4,app(sk4,sk7))),cons(skaf69(app(sk4,app(sk4,sk7))),skaf72(app(sk4,app(sk4,sk7))))),cons(skaf70(app(sk4,app(sk4,sk7))),skaf73(app(sk4,app(sk4,sk7))))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_410]) ).
tcf(c_39024,plain,
( duplicatefreeP(app(sk4,app(sk4,sk7)))
| ( app(app(skaf75(app(sk4,app(sk4,sk7))),cons(skaf74(app(sk4,app(sk4,sk7))),skaf76(app(sk4,app(sk4,sk7))))),cons(skaf74(app(sk4,app(sk4,sk7))),skaf77(app(sk4,app(sk4,sk7))))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_409]) ).
tcf(c_39025,plain,
( equalelemsP(app(sk4,app(sk4,sk7)))
| ( app(skaf80(app(sk4,app(sk4,sk7))),cons(skaf78(app(sk4,app(sk4,sk7))),cons(skaf79(app(sk4,app(sk4,sk7))),skaf81(app(sk4,app(sk4,sk7)))))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_389]) ).
tcf(c_39026,plain,
( ( hd(cons(sk6,app(sk4,app(sk4,sk7)))) = sk6 )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_10017]) ).
tcf(c_39027,plain,
( ( app(sk4,app(sk4,sk7)) = nil )
| ( cons(skaf83(app(sk4,app(sk4,sk7))),skaf82(app(sk4,app(sk4,sk7)))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_356]) ).
tcf(c_39028,plain,
( ( app(sk4,app(sk4,sk7)) = nil )
| ( cons(hd(app(sk4,app(sk4,sk7))),tl(app(sk4,app(sk4,sk7)))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_351]) ).
tcf(c_39029,plain,
( ( hd(cons(sk5,app(sk4,app(sk4,sk7)))) = sk5 )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_10016]) ).
tcf(c_39030,plain,
( ( tl(cons(sk6,app(sk4,app(sk4,sk7)))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_9887]) ).
tcf(c_39031,plain,
( ( tl(cons(sk5,app(sk4,app(sk4,sk7)))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_9886]) ).
tcf(c_39032,plain,
( duplicatefreeP(app(sk4,app(sk4,sk7)))
| ~ iPr_def_11
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_6471]) ).
tcf(c_39033,plain,
( ( app(nil,app(sk4,app(sk4,sk7))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_321]) ).
tcf(c_39034,plain,
( ( app(app(sk4,app(sk4,sk7)),nil) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_320]) ).
tcf(c_39385,plain,
( ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37937,c_332]) ).
tcf(c_39386,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(app(app(sk4,sk4),sk8),X0)) ),
inference(superposition,[status(thm)],[c_37937,c_420]) ).
tcf(c_39387,plain,
! [X0: $i] :
( ( app(sk4,sk4) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk8)) != app(X0,sk8) ) ),
inference(superposition,[status(thm)],[c_37937,c_398]) ).
tcf(c_39389,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk4,sk4),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk4))
| ~ memberP(app(sk4,app(sk4,sk8)),X0) ),
inference(superposition,[status(thm)],[c_37937,c_405]) ).
tcf(c_39390,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_37937,c_366]) ).
tcf(c_39391,plain,
( ( app(sk4,sk4) = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_37937,c_365]) ).
tcf(c_39392,plain,
( frontsegP(app(sk4,app(sk4,sk8)),app(sk4,sk4))
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37937,c_808]) ).
tcf(c_39393,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk8)
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37937,c_807]) ).
tcf(c_39394,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37937,c_388]) ).
tcf(c_39395,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37937,c_383]) ).
tcf(c_39396,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ( app(app(sk4,sk4),X0) != app(sk4,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_37937,c_397]) ).
tcf(c_39397,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk4))
| ~ memberP(app(sk4,sk4),X0) ),
inference(superposition,[status(thm)],[c_37937,c_387]) ).
tcf(c_39398,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(app(sk4,sk4),X0) ),
inference(superposition,[status(thm)],[c_37937,c_384]) ).
tcf(c_39399,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk8)),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_37937,c_419]) ).
tcf(c_39400,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_37937,c_419]) ).
tcf(c_39401,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk4)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(app(app(sk4,sk4),sk8)) ),
inference(superposition,[status(thm)],[c_37937,c_420]) ).
tcf(c_39402,plain,
( ( app(sk4,sk4) = nil )
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk8)) != sk8 ) ),
inference(superposition,[status(thm)],[c_37937,c_17621]) ).
tcf(c_39403,plain,
( ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39385,c_6482]) ).
tcf(c_39406,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk8)
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39393,c_6482]) ).
tcf(c_39409,plain,
( frontsegP(app(sk4,app(sk4,sk8)),app(sk4,sk4))
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39392,c_6482]) ).
tcf(c_39415,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk4)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(light_normalisation,[status(thm)],[c_39401,c_37937]) ).
tcf(c_39416,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk4)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39415,c_6482,c_6486]) ).
tcf(c_39419,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39400,c_6482,c_6486]) ).
tcf(c_39423,plain,
( ( sk8 = nil )
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39390,c_6482]) ).
tcf(c_39427,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39395,c_6482]) ).
tcf(c_39432,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39394,c_6482]) ).
tcf(c_39437,plain,
( ( app(sk4,sk4) = nil )
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39391,c_6482]) ).
tcf(c_39441,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(app(sk4,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39398,c_6482]) ).
tcf(c_39446,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk8)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk4))
| ~ memberP(app(sk4,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39397,c_6482]) ).
tcf(c_39451,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk8)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39399,c_6482]) ).
tcf(c_39457,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk4,sk4),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk4))
| ~ memberP(app(sk4,app(sk4,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39389,c_6482]) ).
tcf(c_39463,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ( app(app(sk4,sk4),X0) != app(sk4,app(sk4,sk8)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39396,c_6482]) ).
tcf(c_39468,plain,
! [X0: $i] :
( ( app(sk4,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk8)) != app(X0,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39387,c_6482]) ).
tcf(c_39473,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(app(sk4,app(sk4,sk8)),X0)) ),
inference(light_normalisation,[status(thm)],[c_39386,c_37937]) ).
tcf(c_39474,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk8)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(app(sk4,app(sk4,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39473,c_6482]) ).
tcf(c_39677,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk8)),sk4),X0) = app(app(sk4,app(sk4,sk8)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_16215]) ).
tcf(c_39678,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk4,app(sk4,sk8)))) = app(cons(X1,X0),app(sk4,app(sk4,sk8))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_404]) ).
tcf(c_39679,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk4,app(sk4,sk8))),X0) = app(X1,app(app(sk4,app(sk4,sk8)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_396]) ).
tcf(c_39680,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk8)) = nil )
| ( app(tl(app(sk4,app(sk4,sk8))),X0) = tl(app(app(sk4,app(sk4,sk8)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_380]) ).
tcf(c_39681,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk8)) = nil )
| ( hd(app(app(sk4,app(sk4,sk8)),X0)) = hd(app(sk4,app(sk4,sk8))) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_370]) ).
tcf(c_39682,plain,
( ( app(app(sk4,sk4),app(sk4,app(sk4,sk8))) = app(sk4,app(sk4,app(sk4,app(sk4,sk8)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_37631]) ).
tcf(c_39683,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk4,app(sk4,sk8))) = tl(app(sk8,app(sk4,app(sk4,sk8)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_14611]) ).
tcf(c_39684,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk4,app(sk4,sk8))) = tl(app(sk7,app(sk4,app(sk4,sk8)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_14610]) ).
tcf(c_39685,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk4,app(sk4,sk8))) = tl(app(sk4,app(sk4,app(sk4,sk8)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_14609]) ).
tcf(c_39686,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk4,app(sk4,sk8)))) = hd(sk8) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_11903]) ).
tcf(c_39687,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk4,app(sk4,sk8)))) = hd(sk7) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_11902]) ).
tcf(c_39688,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk4,app(sk4,sk8)))) = hd(sk4) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_11901]) ).
tcf(c_39689,plain,
( cyclefreeP(app(sk4,app(sk4,sk8)))
| ( app(app(skaf51(app(sk4,app(sk4,sk8))),cons(skaf49(app(sk4,app(sk4,sk8))),skaf52(app(sk4,app(sk4,sk8))))),cons(skaf50(app(sk4,app(sk4,sk8))),skaf53(app(sk4,app(sk4,sk8))))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_414]) ).
tcf(c_39690,plain,
( totalorderP(app(sk4,app(sk4,sk8)))
| ( app(app(skaf56(app(sk4,app(sk4,sk8))),cons(skaf54(app(sk4,app(sk4,sk8))),skaf57(app(sk4,app(sk4,sk8))))),cons(skaf55(app(sk4,app(sk4,sk8))),skaf58(app(sk4,app(sk4,sk8))))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_413]) ).
tcf(c_39691,plain,
( strictorderP(app(sk4,app(sk4,sk8)))
| ( app(app(skaf61(app(sk4,app(sk4,sk8))),cons(skaf59(app(sk4,app(sk4,sk8))),skaf62(app(sk4,app(sk4,sk8))))),cons(skaf60(app(sk4,app(sk4,sk8))),skaf63(app(sk4,app(sk4,sk8))))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_412]) ).
tcf(c_39692,plain,
( totalorderedP(app(sk4,app(sk4,sk8)))
| ( app(app(skaf66(app(sk4,app(sk4,sk8))),cons(skaf64(app(sk4,app(sk4,sk8))),skaf67(app(sk4,app(sk4,sk8))))),cons(skaf65(app(sk4,app(sk4,sk8))),skaf68(app(sk4,app(sk4,sk8))))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_411]) ).
tcf(c_39693,plain,
( strictorderedP(app(sk4,app(sk4,sk8)))
| ( app(app(skaf71(app(sk4,app(sk4,sk8))),cons(skaf69(app(sk4,app(sk4,sk8))),skaf72(app(sk4,app(sk4,sk8))))),cons(skaf70(app(sk4,app(sk4,sk8))),skaf73(app(sk4,app(sk4,sk8))))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_410]) ).
tcf(c_39694,plain,
( duplicatefreeP(app(sk4,app(sk4,sk8)))
| ( app(app(skaf75(app(sk4,app(sk4,sk8))),cons(skaf74(app(sk4,app(sk4,sk8))),skaf76(app(sk4,app(sk4,sk8))))),cons(skaf74(app(sk4,app(sk4,sk8))),skaf77(app(sk4,app(sk4,sk8))))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_409]) ).
tcf(c_39695,plain,
( equalelemsP(app(sk4,app(sk4,sk8)))
| ( app(skaf80(app(sk4,app(sk4,sk8))),cons(skaf78(app(sk4,app(sk4,sk8))),cons(skaf79(app(sk4,app(sk4,sk8))),skaf81(app(sk4,app(sk4,sk8)))))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_389]) ).
tcf(c_39696,plain,
( ( hd(cons(sk6,app(sk4,app(sk4,sk8)))) = sk6 )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_10017]) ).
tcf(c_39697,plain,
( ( app(sk4,app(sk4,sk8)) = nil )
| ( cons(skaf83(app(sk4,app(sk4,sk8))),skaf82(app(sk4,app(sk4,sk8)))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_356]) ).
tcf(c_39698,plain,
( ( app(sk4,app(sk4,sk8)) = nil )
| ( cons(hd(app(sk4,app(sk4,sk8))),tl(app(sk4,app(sk4,sk8)))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_351]) ).
tcf(c_39699,plain,
( ( hd(cons(sk5,app(sk4,app(sk4,sk8)))) = sk5 )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_10016]) ).
tcf(c_39700,plain,
( ( tl(cons(sk6,app(sk4,app(sk4,sk8)))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_9887]) ).
tcf(c_39701,plain,
( ( tl(cons(sk5,app(sk4,app(sk4,sk8)))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_9886]) ).
tcf(c_39702,plain,
( duplicatefreeP(app(sk4,app(sk4,sk8)))
| ~ iPr_def_11
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_6471]) ).
tcf(c_39703,plain,
( ( app(nil,app(sk4,app(sk4,sk8))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_321]) ).
tcf(c_39704,plain,
( ( app(app(sk4,app(sk4,sk8)),nil) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_320]) ).
tcf(c_40063,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38389,c_400]) ).
tcf(c_40064,plain,
( ( app(skaf46(app(sk4,app(sk4,sk4)),sk4),sk4) = app(sk4,app(sk4,sk4)) )
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38389,c_378]) ).
tcf(c_40065,plain,
( ( app(sk4,app(sk4,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38389,c_375]) ).
tcf(c_40066,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40063,c_6486]) ).
tcf(c_40072,plain,
( ( app(sk4,app(sk4,sk4)) = sk4 )
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40065,c_6486]) ).
tcf(c_40077,plain,
( ( app(skaf46(app(sk4,app(sk4,sk4)),sk4),sk4) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40064,c_6486]) ).
tcf(c_40086,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38756,c_400]) ).
tcf(c_40087,plain,
( ( app(skaf46(app(sk4,app(sk4,sk7)),sk7),sk7) = app(sk4,app(sk4,sk7)) )
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38756,c_378]) ).
tcf(c_40088,plain,
( ( app(sk4,app(sk4,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38756,c_375]) ).
tcf(c_40089,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40086,c_6483]) ).
tcf(c_40095,plain,
( ( app(sk4,app(sk4,sk7)) = sk7 )
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40088,c_6483]) ).
tcf(c_40100,plain,
( ( app(skaf46(app(sk4,app(sk4,sk7)),sk7),sk7) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40087,c_6483]) ).
tcf(c_40105,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf80(X0)) = nil )
| ( cons(sk5,skaf80(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf80(X0)))
| ( skaf80(X0) != tl(X1) )
| ( hd(cons(sk5,skaf80(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10187,c_424]) ).
tcf(c_40108,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf80(X0)) = nil )
| ( cons(sk5,skaf80(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf80(X0)))
| ( hd(X1) != sk5 )
| ( skaf80(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_40105,c_10655]) ).
tcf(c_40124,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf68(X0))))
| ( cons(sk6,skaf68(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf68(X0)))
| ~ ssList(cons(sk6,skaf68(X0))) ),
inference(superposition,[status(thm)],[c_11234,c_407]) ).
tcf(c_40125,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf68(X0))))
| ( cons(sk6,skaf68(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf68(X0)))
| ~ ssList(cons(sk6,skaf68(X0))) ),
inference(superposition,[status(thm)],[c_11234,c_406]) ).
tcf(c_40141,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf67(X0))))
| ( cons(sk6,skaf67(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf67(X0)))
| ~ ssList(cons(sk6,skaf67(X0))) ),
inference(superposition,[status(thm)],[c_11235,c_407]) ).
tcf(c_40142,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf67(X0))))
| ( cons(sk6,skaf67(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf67(X0)))
| ~ ssList(cons(sk6,skaf67(X0))) ),
inference(superposition,[status(thm)],[c_11235,c_406]) ).
tcf(c_40158,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf66(X0))))
| ( cons(sk6,skaf66(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf66(X0)))
| ~ ssList(cons(sk6,skaf66(X0))) ),
inference(superposition,[status(thm)],[c_11236,c_407]) ).
tcf(c_40159,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf66(X0))))
| ( cons(sk6,skaf66(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf66(X0)))
| ~ ssList(cons(sk6,skaf66(X0))) ),
inference(superposition,[status(thm)],[c_11236,c_406]) ).
tcf(c_40183,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf63(X0))))
| ( cons(sk6,skaf63(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf63(X0)))
| ~ ssList(cons(sk6,skaf63(X0))) ),
inference(superposition,[status(thm)],[c_11237,c_407]) ).
tcf(c_40184,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf63(X0))))
| ( cons(sk6,skaf63(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf63(X0)))
| ~ ssList(cons(sk6,skaf63(X0))) ),
inference(superposition,[status(thm)],[c_11237,c_406]) ).
tcf(c_40200,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf62(X0))))
| ( cons(sk6,skaf62(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf62(X0)))
| ~ ssList(cons(sk6,skaf62(X0))) ),
inference(superposition,[status(thm)],[c_11238,c_407]) ).
tcf(c_40201,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf62(X0))))
| ( cons(sk6,skaf62(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf62(X0)))
| ~ ssList(cons(sk6,skaf62(X0))) ),
inference(superposition,[status(thm)],[c_11238,c_406]) ).
tcf(c_40217,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf61(X0))))
| ( cons(sk6,skaf61(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf61(X0)))
| ~ ssList(cons(sk6,skaf61(X0))) ),
inference(superposition,[status(thm)],[c_11239,c_407]) ).
tcf(c_40218,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf61(X0))))
| ( cons(sk6,skaf61(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf61(X0)))
| ~ ssList(cons(sk6,skaf61(X0))) ),
inference(superposition,[status(thm)],[c_11239,c_406]) ).
tcf(c_40242,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf58(X0))))
| ( cons(sk6,skaf58(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf58(X0)))
| ~ ssList(cons(sk6,skaf58(X0))) ),
inference(superposition,[status(thm)],[c_11240,c_407]) ).
tcf(c_40243,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf58(X0))))
| ( cons(sk6,skaf58(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf58(X0)))
| ~ ssList(cons(sk6,skaf58(X0))) ),
inference(superposition,[status(thm)],[c_11240,c_406]) ).
tcf(c_40259,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf57(X0))))
| ( cons(sk6,skaf57(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf57(X0)))
| ~ ssList(cons(sk6,skaf57(X0))) ),
inference(superposition,[status(thm)],[c_11241,c_407]) ).
tcf(c_40260,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf57(X0))))
| ( cons(sk6,skaf57(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf57(X0)))
| ~ ssList(cons(sk6,skaf57(X0))) ),
inference(superposition,[status(thm)],[c_11241,c_406]) ).
tcf(c_40280,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39406,c_400]) ).
tcf(c_40281,plain,
( ( app(skaf46(app(sk4,app(sk4,sk8)),sk8),sk8) = app(sk4,app(sk4,sk8)) )
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39406,c_378]) ).
tcf(c_40282,plain,
( ( app(sk4,app(sk4,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(sk8,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39406,c_375]) ).
tcf(c_40283,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40280,c_6482]) ).
tcf(c_40289,plain,
( ( app(sk4,app(sk4,sk8)) = sk8 )
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(sk8,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40282,c_6482]) ).
tcf(c_40294,plain,
( ( app(skaf46(app(sk4,app(sk4,sk8)),sk8),sk8) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40281,c_6482]) ).
tcf(c_40311,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ segmentP(X0,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38393,c_399]) ).
tcf(c_40312,plain,
( ( app(app(skaf47(app(sk4,app(sk4,sk4)),sk4),sk4),skaf48(sk4,app(sk4,app(sk4,sk4)))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38393,c_415]) ).
tcf(c_40313,plain,
( ( app(sk4,app(sk4,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38393,c_374]) ).
tcf(c_40314,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ segmentP(X0,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40311,c_6486]) ).
tcf(c_40319,plain,
( ( app(sk4,app(sk4,sk4)) = sk4 )
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40313,c_6486]) ).
tcf(c_40323,plain,
( ( app(app(skaf47(app(sk4,app(sk4,sk4)),sk4),sk4),skaf48(sk4,app(sk4,app(sk4,sk4)))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40312,c_6486]) ).
tcf(c_40333,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ segmentP(X0,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38396,c_399]) ).
tcf(c_40334,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk4,app(sk4,sk4)),X0),X0),skaf48(X0,app(sk4,app(sk4,sk4)))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38396,c_415]) ).
tcf(c_40335,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ segmentP(X0,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38396,c_374]) ).
tcf(c_40336,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38396,c_27069]) ).
tcf(c_40337,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38396,c_28549]) ).
tcf(c_40338,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38396,c_27097]) ).
tcf(c_40339,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38396,c_27109]) ).
tcf(c_40340,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40339,c_24748]) ).
tcf(c_40344,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40338,c_9020]) ).
tcf(c_40348,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40337,c_9020]) ).
tcf(c_40352,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40336,c_9527]) ).
tcf(c_40397,plain,
! [X0: $i] :
( frontsegP(X0,app(sk4,sk4))
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38400,c_401]) ).
tcf(c_40398,plain,
( ( app(app(sk4,sk4),skaf45(app(sk4,app(sk4,sk4)),app(sk4,sk4))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38400,c_379]) ).
tcf(c_40399,plain,
( ( app(sk4,app(sk4,sk4)) = app(sk4,sk4) )
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(app(sk4,sk4),app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38400,c_376]) ).
tcf(c_40417,plain,
! [X0: $i] :
( frontsegP(X0,app(sk4,sk4))
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38759,c_401]) ).
tcf(c_40418,plain,
( ( app(app(sk4,sk4),skaf45(app(sk4,app(sk4,sk7)),app(sk4,sk4))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38759,c_379]) ).
tcf(c_40419,plain,
( ( app(sk4,app(sk4,sk7)) = app(sk4,sk4) )
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(app(sk4,sk4),app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38759,c_376]) ).
tcf(c_40437,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ segmentP(X0,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38766,c_399]) ).
tcf(c_40438,plain,
( ( app(app(skaf47(app(sk4,app(sk4,sk7)),sk4),sk4),skaf48(sk4,app(sk4,app(sk4,sk7)))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38766,c_415]) ).
tcf(c_40439,plain,
( ( app(sk4,app(sk4,sk7)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38766,c_374]) ).
tcf(c_40440,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ segmentP(X0,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40437,c_6486]) ).
tcf(c_40445,plain,
( ( app(sk4,app(sk4,sk7)) = sk4 )
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40439,c_6486]) ).
tcf(c_40449,plain,
( ( app(app(skaf47(app(sk4,app(sk4,sk7)),sk4),sk4),skaf48(sk4,app(sk4,app(sk4,sk7)))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40438,c_6486]) ).
tcf(c_40471,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ segmentP(X0,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38769,c_399]) ).
tcf(c_40472,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk4,app(sk4,sk7)),X0),X0),skaf48(X0,app(sk4,app(sk4,sk7)))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38769,c_415]) ).
tcf(c_40473,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ segmentP(X0,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38769,c_374]) ).
tcf(c_40474,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38769,c_27069]) ).
tcf(c_40475,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38769,c_28549]) ).
tcf(c_40476,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38769,c_27097]) ).
tcf(c_40477,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38769,c_27109]) ).
tcf(c_40478,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40477,c_24748]) ).
tcf(c_40482,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40476,c_9020]) ).
tcf(c_40486,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40475,c_9020]) ).
tcf(c_40490,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40474,c_9527]) ).
tcf(c_40515,plain,
! [X0: $i] :
( frontsegP(X0,app(sk4,sk4))
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39409,c_401]) ).
tcf(c_40516,plain,
( ( app(app(sk4,sk4),skaf45(app(sk4,app(sk4,sk8)),app(sk4,sk4))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39409,c_379]) ).
tcf(c_40517,plain,
( ( app(sk4,app(sk4,sk8)) = app(sk4,sk4) )
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(app(sk4,sk4),app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39409,c_376]) ).
tcf(c_40603,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf77(X0)) = nil )
| ( cons(sk5,skaf77(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf77(X0)))
| ( skaf77(X0) != tl(X1) )
| ( hd(cons(sk5,skaf77(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10188,c_424]) ).
tcf(c_40606,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf77(X0)) = nil )
| ( cons(sk5,skaf77(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf77(X0)))
| ( hd(X1) != sk5 )
| ( skaf77(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_40603,c_10656]) ).
tcf(c_40614,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf56(X0))))
| ( cons(sk6,skaf56(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf56(X0)))
| ~ ssList(cons(sk6,skaf56(X0))) ),
inference(superposition,[status(thm)],[c_11242,c_407]) ).
tcf(c_40615,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf56(X0))))
| ( cons(sk6,skaf56(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf56(X0)))
| ~ ssList(cons(sk6,skaf56(X0))) ),
inference(superposition,[status(thm)],[c_11242,c_406]) ).
tcf(c_40631,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf53(X0))))
| ( cons(sk6,skaf53(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf53(X0)))
| ~ ssList(cons(sk6,skaf53(X0))) ),
inference(superposition,[status(thm)],[c_11243,c_407]) ).
tcf(c_40632,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf53(X0))))
| ( cons(sk6,skaf53(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf53(X0)))
| ~ ssList(cons(sk6,skaf53(X0))) ),
inference(superposition,[status(thm)],[c_11243,c_406]) ).
tcf(c_40648,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf52(X0))))
| ( cons(sk6,skaf52(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf52(X0)))
| ~ ssList(cons(sk6,skaf52(X0))) ),
inference(superposition,[status(thm)],[c_11244,c_407]) ).
tcf(c_40649,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf52(X0))))
| ( cons(sk6,skaf52(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf52(X0)))
| ~ ssList(cons(sk6,skaf52(X0))) ),
inference(superposition,[status(thm)],[c_11244,c_406]) ).
tcf(c_40665,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(sk6,skaf51(X0))))
| ( cons(sk6,skaf51(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(cons(sk6,skaf51(X0)))
| ~ ssList(cons(sk6,skaf51(X0))) ),
inference(superposition,[status(thm)],[c_11245,c_407]) ).
tcf(c_40666,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(sk6,skaf51(X0))))
| ( cons(sk6,skaf51(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(cons(sk6,skaf51(X0)))
| ~ ssList(cons(sk6,skaf51(X0))) ),
inference(superposition,[status(thm)],[c_11245,c_406]) ).
tcf(c_40690,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ segmentP(X0,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39416,c_399]) ).
tcf(c_40691,plain,
( ( app(app(skaf47(app(sk4,app(sk4,sk8)),sk4),sk4),skaf48(sk4,app(sk4,app(sk4,sk8)))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39416,c_415]) ).
tcf(c_40692,plain,
( ( app(sk4,app(sk4,sk8)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39416,c_374]) ).
tcf(c_40693,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ segmentP(X0,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40690,c_6486]) ).
tcf(c_40698,plain,
( ( app(sk4,app(sk4,sk8)) = sk4 )
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40692,c_6486]) ).
tcf(c_40702,plain,
( ( app(app(skaf47(app(sk4,app(sk4,sk8)),sk4),sk4),skaf48(sk4,app(sk4,app(sk4,sk8)))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40691,c_6486]) ).
tcf(c_40712,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ segmentP(X0,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39419,c_399]) ).
tcf(c_40713,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk4,app(sk4,sk8)),X0),X0),skaf48(X0,app(sk4,app(sk4,sk8)))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39419,c_415]) ).
tcf(c_40714,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk8)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ segmentP(X0,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39419,c_374]) ).
tcf(c_40715,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39419,c_27069]) ).
tcf(c_40716,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39419,c_28549]) ).
tcf(c_40717,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39419,c_27097]) ).
tcf(c_40718,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39419,c_27109]) ).
tcf(c_40719,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk7)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40718,c_24748]) ).
tcf(c_40723,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk7)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40717,c_9020]) ).
tcf(c_40727,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk8)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40716,c_9020]) ).
tcf(c_40731,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk7)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40715,c_9527]) ).
tcf(c_40759,plain,
app(app(sk7,sk4),sk4) = app(sk7,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_6486,c_37632]) ).
tcf(c_40760,plain,
app(app(sk7,sk4),sk7) = app(sk7,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_6483,c_37632]) ).
tcf(c_40761,plain,
app(app(sk7,sk4),sk8) = app(sk7,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_6482,c_37632]) ).
tcf(c_40762,plain,
app(app(sk7,sk4),nil) = app(sk7,app(sk4,nil)),
inference(superposition,[status(thm)],[c_255,c_37632]) ).
tcf(c_40763,plain,
! [X0: $i] : app(app(sk7,sk4),skaf82(X0)) = app(sk7,app(sk4,skaf82(X0))),
inference(superposition,[status(thm)],[c_260,c_37632]) ).
tcf(c_40764,plain,
! [X0: $i] : app(app(sk7,sk4),skaf81(X0)) = app(sk7,app(sk4,skaf81(X0))),
inference(superposition,[status(thm)],[c_261,c_37632]) ).
tcf(c_40765,plain,
! [X0: $i] : app(app(sk7,sk4),skaf80(X0)) = app(sk7,app(sk4,skaf80(X0))),
inference(superposition,[status(thm)],[c_262,c_37632]) ).
tcf(c_40766,plain,
! [X0: $i] : app(app(sk7,sk4),skaf77(X0)) = app(sk7,app(sk4,skaf77(X0))),
inference(superposition,[status(thm)],[c_265,c_37632]) ).
tcf(c_40767,plain,
! [X0: $i] : app(app(sk7,sk4),skaf76(X0)) = app(sk7,app(sk4,skaf76(X0))),
inference(superposition,[status(thm)],[c_266,c_37632]) ).
tcf(c_40768,plain,
! [X0: $i] : app(app(sk7,sk4),skaf75(X0)) = app(sk7,app(sk4,skaf75(X0))),
inference(superposition,[status(thm)],[c_267,c_37632]) ).
tcf(c_40769,plain,
! [X0: $i] : app(app(sk7,sk4),skaf73(X0)) = app(sk7,app(sk4,skaf73(X0))),
inference(superposition,[status(thm)],[c_269,c_37632]) ).
tcf(c_40770,plain,
! [X0: $i] : app(app(sk7,sk4),skaf72(X0)) = app(sk7,app(sk4,skaf72(X0))),
inference(superposition,[status(thm)],[c_270,c_37632]) ).
tcf(c_40771,plain,
! [X0: $i] : app(app(sk7,sk4),skaf71(X0)) = app(sk7,app(sk4,skaf71(X0))),
inference(superposition,[status(thm)],[c_271,c_37632]) ).
tcf(c_40772,plain,
! [X0: $i] : app(app(sk7,sk4),skaf68(X0)) = app(sk7,app(sk4,skaf68(X0))),
inference(superposition,[status(thm)],[c_274,c_37632]) ).
tcf(c_40773,plain,
! [X0: $i] : app(app(sk7,sk4),skaf67(X0)) = app(sk7,app(sk4,skaf67(X0))),
inference(superposition,[status(thm)],[c_275,c_37632]) ).
tcf(c_40774,plain,
! [X0: $i] : app(app(sk7,sk4),skaf66(X0)) = app(sk7,app(sk4,skaf66(X0))),
inference(superposition,[status(thm)],[c_276,c_37632]) ).
tcf(c_40775,plain,
! [X0: $i] : app(app(sk7,sk4),skaf63(X0)) = app(sk7,app(sk4,skaf63(X0))),
inference(superposition,[status(thm)],[c_279,c_37632]) ).
tcf(c_40776,plain,
! [X0: $i] : app(app(sk7,sk4),skaf62(X0)) = app(sk7,app(sk4,skaf62(X0))),
inference(superposition,[status(thm)],[c_280,c_37632]) ).
tcf(c_40777,plain,
! [X0: $i] : app(app(sk7,sk4),skaf61(X0)) = app(sk7,app(sk4,skaf61(X0))),
inference(superposition,[status(thm)],[c_281,c_37632]) ).
tcf(c_40778,plain,
! [X0: $i] : app(app(sk7,sk4),skaf58(X0)) = app(sk7,app(sk4,skaf58(X0))),
inference(superposition,[status(thm)],[c_284,c_37632]) ).
tcf(c_40779,plain,
! [X0: $i] : app(app(sk7,sk4),skaf57(X0)) = app(sk7,app(sk4,skaf57(X0))),
inference(superposition,[status(thm)],[c_285,c_37632]) ).
tcf(c_40780,plain,
! [X0: $i] : app(app(sk7,sk4),skaf56(X0)) = app(sk7,app(sk4,skaf56(X0))),
inference(superposition,[status(thm)],[c_286,c_37632]) ).
tcf(c_40781,plain,
! [X0: $i] : app(app(sk7,sk4),skaf53(X0)) = app(sk7,app(sk4,skaf53(X0))),
inference(superposition,[status(thm)],[c_289,c_37632]) ).
tcf(c_40782,plain,
! [X0: $i] : app(app(sk7,sk4),skaf52(X0)) = app(sk7,app(sk4,skaf52(X0))),
inference(superposition,[status(thm)],[c_290,c_37632]) ).
tcf(c_40783,plain,
! [X0: $i] : app(app(sk7,sk4),skaf51(X0)) = app(sk7,app(sk4,skaf51(X0))),
inference(superposition,[status(thm)],[c_291,c_37632]) ).
tcf(c_40784,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk4),skaf48(X0,X1)) = app(sk7,app(sk4,skaf48(X0,X1))),
inference(superposition,[status(thm)],[c_295,c_37632]) ).
tcf(c_40785,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk4),skaf47(X0,X1)) = app(sk7,app(sk4,skaf47(X0,X1))),
inference(superposition,[status(thm)],[c_296,c_37632]) ).
tcf(c_40786,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk4),skaf46(X0,X1)) = app(sk7,app(sk4,skaf46(X0,X1))),
inference(superposition,[status(thm)],[c_297,c_37632]) ).
tcf(c_40787,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk4),skaf45(X0,X1)) = app(sk7,app(sk4,skaf45(X0,X1))),
inference(superposition,[status(thm)],[c_298,c_37632]) ).
tcf(c_40788,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk4),skaf43(X0,X1)) = app(sk7,app(sk4,skaf43(X0,X1))),
inference(superposition,[status(thm)],[c_299,c_37632]) ).
tcf(c_40789,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk4),skaf42(X0,X1)) = app(sk7,app(sk4,skaf42(X0,X1))),
inference(superposition,[status(thm)],[c_300,c_37632]) ).
tcf(c_40790,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sk7,sk4),tl(X0)) = app(sk7,app(sk4,tl(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_37632]) ).
tcf(c_40791,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk7,sk4),app(X1,X0)) = app(sk7,app(sk4,app(X1,X0))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_37632]) ).
tcf(c_40792,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk7,sk4),cons(X1,X0)) = app(sk7,app(sk4,cons(X1,X0))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_37632]) ).
tcf(c_40793,plain,
app(app(sk7,sk4),iPr_def_16) = app(sk7,app(sk4,iPr_def_16)),
inference(superposition,[status(thm)],[c_9020,c_37632]) ).
tcf(c_40794,plain,
app(app(sk7,sk4),iPr_def_13) = app(sk7,app(sk4,iPr_def_13)),
inference(superposition,[status(thm)],[c_9527,c_37632]) ).
tcf(c_40795,plain,
app(app(sk7,sk4),iPr_def_12) = app(sk7,app(sk4,iPr_def_12)),
inference(superposition,[status(thm)],[c_9489,c_37632]) ).
tcf(c_40796,plain,
app(app(sk7,sk4),iPr_def_15) = app(sk7,app(sk4,iPr_def_15)),
inference(superposition,[status(thm)],[c_24748,c_37632]) ).
tcf(c_40797,plain,
app(app(sk7,sk4),iPr_def_14) = app(sk7,app(sk4,iPr_def_14)),
inference(superposition,[status(thm)],[c_9488,c_37632]) ).
tcf(c_40798,plain,
app(app(sk7,sk4),cons(sk6,sk4)) = app(sk7,app(sk4,cons(sk6,sk4))),
inference(superposition,[status(thm)],[c_28942,c_37632]) ).
tcf(c_40799,plain,
app(app(sk7,sk4),cons(sk6,sk7)) = app(sk7,app(sk4,cons(sk6,sk7))),
inference(superposition,[status(thm)],[c_28940,c_37632]) ).
tcf(c_40800,plain,
app(app(sk7,sk4),cons(sk6,sk8)) = app(sk7,app(sk4,cons(sk6,sk8))),
inference(superposition,[status(thm)],[c_28938,c_37632]) ).
tcf(c_40801,plain,
( ( app(app(sk7,sk4),app(sk4,app(sk4,sk4))) = app(sk7,app(sk4,app(sk4,app(sk4,sk4)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_37632]) ).
tcf(c_40802,plain,
( ( app(app(sk7,sk4),app(sk4,app(sk4,sk7))) = app(sk7,app(sk4,app(sk4,app(sk4,sk7)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_37632]) ).
tcf(c_40803,plain,
( ( app(app(sk7,sk4),app(sk4,app(sk4,sk8))) = app(sk7,app(sk4,app(sk4,app(sk4,sk8)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_37632]) ).
tcf(c_40804,plain,
app(app(sk7,sk4),nil) = app(sk7,sk4),
inference(light_normalisation,[status(thm)],[c_40762,c_9101]) ).
tcf(c_41183,plain,
( ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40759,c_332]) ).
tcf(c_41184,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(app(app(sk7,sk4),sk4),X0)) ),
inference(superposition,[status(thm)],[c_40759,c_420]) ).
tcf(c_41185,plain,
! [X0: $i] :
( ( app(sk7,sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_40759,c_398]) ).
tcf(c_41187,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk7,sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk4))
| ~ memberP(app(sk7,app(sk4,sk4)),X0) ),
inference(superposition,[status(thm)],[c_40759,c_405]) ).
tcf(c_41188,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_40759,c_366]) ).
tcf(c_41189,plain,
( ( app(sk7,sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_40759,c_365]) ).
tcf(c_41190,plain,
( frontsegP(app(sk7,app(sk4,sk4)),app(sk7,sk4))
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40759,c_808]) ).
tcf(c_41191,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40759,c_807]) ).
tcf(c_41192,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40759,c_388]) ).
tcf(c_41193,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40759,c_383]) ).
tcf(c_41194,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ( app(app(sk7,sk4),X0) != app(sk7,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_40759,c_397]) ).
tcf(c_41195,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk4))
| ~ memberP(app(sk7,sk4),X0) ),
inference(superposition,[status(thm)],[c_40759,c_387]) ).
tcf(c_41196,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(app(sk7,sk4),X0) ),
inference(superposition,[status(thm)],[c_40759,c_384]) ).
tcf(c_41197,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40759,c_419]) ).
tcf(c_41198,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_40759,c_419]) ).
tcf(c_41199,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk4)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(app(sk7,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_40759,c_420]) ).
tcf(c_41200,plain,
( ( app(sk7,sk4) = nil )
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_40759,c_17629]) ).
tcf(c_41201,plain,
( ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41183,c_6486]) ).
tcf(c_41204,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk4)
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41191,c_6486]) ).
tcf(c_41207,plain,
( frontsegP(app(sk7,app(sk4,sk4)),app(sk7,sk4))
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41190,c_6486]) ).
tcf(c_41213,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk4)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(light_normalisation,[status(thm)],[c_41199,c_40759]) ).
tcf(c_41214,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk4)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41213,c_6483,c_6486]) ).
tcf(c_41217,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41198,c_6483,c_6486]) ).
tcf(c_41221,plain,
( ( sk4 = nil )
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41188,c_6486]) ).
tcf(c_41225,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41193,c_6486]) ).
tcf(c_41230,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41192,c_6486]) ).
tcf(c_41235,plain,
( ( app(sk7,sk4) = nil )
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41189,c_6486]) ).
tcf(c_41239,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(app(sk7,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41196,c_6486]) ).
tcf(c_41244,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk4))
| ~ memberP(app(sk7,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41195,c_6486]) ).
tcf(c_41249,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41197,c_6486]) ).
tcf(c_41255,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk7,sk4),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk4))
| ~ memberP(app(sk7,app(sk4,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41187,c_6486]) ).
tcf(c_41261,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ( app(app(sk7,sk4),X0) != app(sk7,app(sk4,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41194,c_6486]) ).
tcf(c_41266,plain,
! [X0: $i] :
( ( app(sk7,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41185,c_6486]) ).
tcf(c_41271,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(app(sk7,app(sk4,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_41184,c_40759]) ).
tcf(c_41272,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(app(sk7,app(sk4,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41271,c_6486]) ).
tcf(c_41331,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk4)),sk4),X0) = app(app(sk7,app(sk4,sk4)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_16215]) ).
tcf(c_41332,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk7,app(sk4,sk4)))) = app(cons(X1,X0),app(sk7,app(sk4,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_404]) ).
tcf(c_41333,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk7,app(sk4,sk4))),X0) = app(X1,app(app(sk7,app(sk4,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_396]) ).
tcf(c_41334,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk4)) = nil )
| ( app(tl(app(sk7,app(sk4,sk4))),X0) = tl(app(app(sk7,app(sk4,sk4)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_380]) ).
tcf(c_41335,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk4)) = nil )
| ( hd(app(app(sk7,app(sk4,sk4)),X0)) = hd(app(sk7,app(sk4,sk4))) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_370]) ).
tcf(c_41336,plain,
( ( app(app(sk7,sk4),app(sk7,app(sk4,sk4))) = app(sk7,app(sk4,app(sk7,app(sk4,sk4)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_37632]) ).
tcf(c_41337,plain,
( ( app(app(sk4,sk4),app(sk7,app(sk4,sk4))) = app(sk4,app(sk4,app(sk7,app(sk4,sk4)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_37631]) ).
tcf(c_41338,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk7,app(sk4,sk4))) = tl(app(sk8,app(sk7,app(sk4,sk4)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_14611]) ).
tcf(c_41339,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk7,app(sk4,sk4))) = tl(app(sk7,app(sk7,app(sk4,sk4)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_14610]) ).
tcf(c_41340,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk7,app(sk4,sk4))) = tl(app(sk4,app(sk7,app(sk4,sk4)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_14609]) ).
tcf(c_41341,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk7,app(sk4,sk4)))) = hd(sk8) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_11903]) ).
tcf(c_41342,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk7,app(sk4,sk4)))) = hd(sk7) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_11902]) ).
tcf(c_41343,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk7,app(sk4,sk4)))) = hd(sk4) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_11901]) ).
tcf(c_41344,plain,
( cyclefreeP(app(sk7,app(sk4,sk4)))
| ( app(app(skaf51(app(sk7,app(sk4,sk4))),cons(skaf49(app(sk7,app(sk4,sk4))),skaf52(app(sk7,app(sk4,sk4))))),cons(skaf50(app(sk7,app(sk4,sk4))),skaf53(app(sk7,app(sk4,sk4))))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_414]) ).
tcf(c_41345,plain,
( totalorderP(app(sk7,app(sk4,sk4)))
| ( app(app(skaf56(app(sk7,app(sk4,sk4))),cons(skaf54(app(sk7,app(sk4,sk4))),skaf57(app(sk7,app(sk4,sk4))))),cons(skaf55(app(sk7,app(sk4,sk4))),skaf58(app(sk7,app(sk4,sk4))))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_413]) ).
tcf(c_41346,plain,
( strictorderP(app(sk7,app(sk4,sk4)))
| ( app(app(skaf61(app(sk7,app(sk4,sk4))),cons(skaf59(app(sk7,app(sk4,sk4))),skaf62(app(sk7,app(sk4,sk4))))),cons(skaf60(app(sk7,app(sk4,sk4))),skaf63(app(sk7,app(sk4,sk4))))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_412]) ).
tcf(c_41347,plain,
( totalorderedP(app(sk7,app(sk4,sk4)))
| ( app(app(skaf66(app(sk7,app(sk4,sk4))),cons(skaf64(app(sk7,app(sk4,sk4))),skaf67(app(sk7,app(sk4,sk4))))),cons(skaf65(app(sk7,app(sk4,sk4))),skaf68(app(sk7,app(sk4,sk4))))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_411]) ).
tcf(c_41348,plain,
( strictorderedP(app(sk7,app(sk4,sk4)))
| ( app(app(skaf71(app(sk7,app(sk4,sk4))),cons(skaf69(app(sk7,app(sk4,sk4))),skaf72(app(sk7,app(sk4,sk4))))),cons(skaf70(app(sk7,app(sk4,sk4))),skaf73(app(sk7,app(sk4,sk4))))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_410]) ).
tcf(c_41349,plain,
( duplicatefreeP(app(sk7,app(sk4,sk4)))
| ( app(app(skaf75(app(sk7,app(sk4,sk4))),cons(skaf74(app(sk7,app(sk4,sk4))),skaf76(app(sk7,app(sk4,sk4))))),cons(skaf74(app(sk7,app(sk4,sk4))),skaf77(app(sk7,app(sk4,sk4))))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_409]) ).
tcf(c_41350,plain,
( equalelemsP(app(sk7,app(sk4,sk4)))
| ( app(skaf80(app(sk7,app(sk4,sk4))),cons(skaf78(app(sk7,app(sk4,sk4))),cons(skaf79(app(sk7,app(sk4,sk4))),skaf81(app(sk7,app(sk4,sk4)))))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_389]) ).
tcf(c_41351,plain,
( ( hd(cons(sk6,app(sk7,app(sk4,sk4)))) = sk6 )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_10017]) ).
tcf(c_41352,plain,
( ( app(sk7,app(sk4,sk4)) = nil )
| ( cons(skaf83(app(sk7,app(sk4,sk4))),skaf82(app(sk7,app(sk4,sk4)))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_356]) ).
tcf(c_41353,plain,
( ( app(sk7,app(sk4,sk4)) = nil )
| ( cons(hd(app(sk7,app(sk4,sk4))),tl(app(sk7,app(sk4,sk4)))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_351]) ).
tcf(c_41354,plain,
( ( hd(cons(sk5,app(sk7,app(sk4,sk4)))) = sk5 )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_10016]) ).
tcf(c_41355,plain,
( ( tl(cons(sk6,app(sk7,app(sk4,sk4)))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_9887]) ).
tcf(c_41356,plain,
( ( tl(cons(sk5,app(sk7,app(sk4,sk4)))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_9886]) ).
tcf(c_41357,plain,
( duplicatefreeP(app(sk7,app(sk4,sk4)))
| ~ iPr_def_11
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_6471]) ).
tcf(c_41358,plain,
( ( app(nil,app(sk7,app(sk4,sk4))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_321]) ).
tcf(c_41359,plain,
( ( app(app(sk7,app(sk4,sk4)),nil) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_320]) ).
tcf(c_41631,plain,
( ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40760,c_332]) ).
tcf(c_41632,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(app(app(sk7,sk4),sk7),X0)) ),
inference(superposition,[status(thm)],[c_40760,c_420]) ).
tcf(c_41633,plain,
! [X0: $i] :
( ( app(sk7,sk4) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_40760,c_398]) ).
tcf(c_41635,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk7,sk4),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk4))
| ~ memberP(app(sk7,app(sk4,sk7)),X0) ),
inference(superposition,[status(thm)],[c_40760,c_405]) ).
tcf(c_41636,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_40760,c_366]) ).
tcf(c_41637,plain,
( ( app(sk7,sk4) = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_40760,c_365]) ).
tcf(c_41638,plain,
( frontsegP(app(sk7,app(sk4,sk7)),app(sk7,sk4))
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40760,c_808]) ).
tcf(c_41639,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40760,c_807]) ).
tcf(c_41640,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40760,c_388]) ).
tcf(c_41641,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40760,c_383]) ).
tcf(c_41642,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ( app(app(sk7,sk4),X0) != app(sk7,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_40760,c_397]) ).
tcf(c_41643,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk4))
| ~ memberP(app(sk7,sk4),X0) ),
inference(superposition,[status(thm)],[c_40760,c_387]) ).
tcf(c_41644,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(app(sk7,sk4),X0) ),
inference(superposition,[status(thm)],[c_40760,c_384]) ).
tcf(c_41645,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40760,c_419]) ).
tcf(c_41646,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_40760,c_419]) ).
tcf(c_41647,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk4)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(app(sk7,sk4),sk7)) ),
inference(superposition,[status(thm)],[c_40760,c_420]) ).
tcf(c_41648,plain,
( ( app(sk7,sk4) = nil )
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_40760,c_17625]) ).
tcf(c_41649,plain,
( ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41631,c_6483]) ).
tcf(c_41652,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41639,c_6483]) ).
tcf(c_41655,plain,
( frontsegP(app(sk7,app(sk4,sk7)),app(sk7,sk4))
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41638,c_6483]) ).
tcf(c_41661,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk4)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(light_normalisation,[status(thm)],[c_41647,c_40760]) ).
tcf(c_41662,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk4)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41661,c_6483,c_6486]) ).
tcf(c_41665,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41646,c_6483,c_6486]) ).
tcf(c_41669,plain,
( ( sk7 = nil )
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41636,c_6483]) ).
tcf(c_41673,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41641,c_6483]) ).
tcf(c_41678,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41640,c_6483]) ).
tcf(c_41683,plain,
( ( app(sk7,sk4) = nil )
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41637,c_6483]) ).
tcf(c_41687,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(app(sk7,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41644,c_6483]) ).
tcf(c_41692,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk4))
| ~ memberP(app(sk7,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41643,c_6483]) ).
tcf(c_41697,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41645,c_6483]) ).
tcf(c_41703,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk7,sk4),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk4))
| ~ memberP(app(sk7,app(sk4,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41635,c_6483]) ).
tcf(c_41709,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ( app(app(sk7,sk4),X0) != app(sk7,app(sk4,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41642,c_6483]) ).
tcf(c_41714,plain,
! [X0: $i] :
( ( app(sk7,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41633,c_6483]) ).
tcf(c_41719,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(app(sk7,app(sk4,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_41632,c_40760]) ).
tcf(c_41720,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(app(sk7,app(sk4,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41719,c_6483]) ).
tcf(c_41757,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk7)),sk4),X0) = app(app(sk7,app(sk4,sk7)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_16215]) ).
tcf(c_41758,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk7,app(sk4,sk7)))) = app(cons(X1,X0),app(sk7,app(sk4,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_404]) ).
tcf(c_41759,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk7,app(sk4,sk7))),X0) = app(X1,app(app(sk7,app(sk4,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_396]) ).
tcf(c_41760,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk7)) = nil )
| ( app(tl(app(sk7,app(sk4,sk7))),X0) = tl(app(app(sk7,app(sk4,sk7)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_380]) ).
tcf(c_41761,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk7)) = nil )
| ( hd(app(app(sk7,app(sk4,sk7)),X0)) = hd(app(sk7,app(sk4,sk7))) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_370]) ).
tcf(c_41762,plain,
( ( app(app(sk7,sk4),app(sk7,app(sk4,sk7))) = app(sk7,app(sk4,app(sk7,app(sk4,sk7)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_37632]) ).
tcf(c_41763,plain,
( ( app(app(sk4,sk4),app(sk7,app(sk4,sk7))) = app(sk4,app(sk4,app(sk7,app(sk4,sk7)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_37631]) ).
tcf(c_41764,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk7,app(sk4,sk7))) = tl(app(sk8,app(sk7,app(sk4,sk7)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_14611]) ).
tcf(c_41765,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk7,app(sk4,sk7))) = tl(app(sk7,app(sk7,app(sk4,sk7)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_14610]) ).
tcf(c_41766,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk7,app(sk4,sk7))) = tl(app(sk4,app(sk7,app(sk4,sk7)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_14609]) ).
tcf(c_41767,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk7,app(sk4,sk7)))) = hd(sk8) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_11903]) ).
tcf(c_41768,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk7,app(sk4,sk7)))) = hd(sk7) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_11902]) ).
tcf(c_41769,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk7,app(sk4,sk7)))) = hd(sk4) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_11901]) ).
tcf(c_41770,plain,
( cyclefreeP(app(sk7,app(sk4,sk7)))
| ( app(app(skaf51(app(sk7,app(sk4,sk7))),cons(skaf49(app(sk7,app(sk4,sk7))),skaf52(app(sk7,app(sk4,sk7))))),cons(skaf50(app(sk7,app(sk4,sk7))),skaf53(app(sk7,app(sk4,sk7))))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_414]) ).
tcf(c_41771,plain,
( totalorderP(app(sk7,app(sk4,sk7)))
| ( app(app(skaf56(app(sk7,app(sk4,sk7))),cons(skaf54(app(sk7,app(sk4,sk7))),skaf57(app(sk7,app(sk4,sk7))))),cons(skaf55(app(sk7,app(sk4,sk7))),skaf58(app(sk7,app(sk4,sk7))))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_413]) ).
tcf(c_41772,plain,
( strictorderP(app(sk7,app(sk4,sk7)))
| ( app(app(skaf61(app(sk7,app(sk4,sk7))),cons(skaf59(app(sk7,app(sk4,sk7))),skaf62(app(sk7,app(sk4,sk7))))),cons(skaf60(app(sk7,app(sk4,sk7))),skaf63(app(sk7,app(sk4,sk7))))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_412]) ).
tcf(c_41773,plain,
( totalorderedP(app(sk7,app(sk4,sk7)))
| ( app(app(skaf66(app(sk7,app(sk4,sk7))),cons(skaf64(app(sk7,app(sk4,sk7))),skaf67(app(sk7,app(sk4,sk7))))),cons(skaf65(app(sk7,app(sk4,sk7))),skaf68(app(sk7,app(sk4,sk7))))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_411]) ).
tcf(c_41774,plain,
( strictorderedP(app(sk7,app(sk4,sk7)))
| ( app(app(skaf71(app(sk7,app(sk4,sk7))),cons(skaf69(app(sk7,app(sk4,sk7))),skaf72(app(sk7,app(sk4,sk7))))),cons(skaf70(app(sk7,app(sk4,sk7))),skaf73(app(sk7,app(sk4,sk7))))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_410]) ).
tcf(c_41775,plain,
( duplicatefreeP(app(sk7,app(sk4,sk7)))
| ( app(app(skaf75(app(sk7,app(sk4,sk7))),cons(skaf74(app(sk7,app(sk4,sk7))),skaf76(app(sk7,app(sk4,sk7))))),cons(skaf74(app(sk7,app(sk4,sk7))),skaf77(app(sk7,app(sk4,sk7))))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_409]) ).
tcf(c_41776,plain,
( equalelemsP(app(sk7,app(sk4,sk7)))
| ( app(skaf80(app(sk7,app(sk4,sk7))),cons(skaf78(app(sk7,app(sk4,sk7))),cons(skaf79(app(sk7,app(sk4,sk7))),skaf81(app(sk7,app(sk4,sk7)))))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_389]) ).
tcf(c_41777,plain,
( ( hd(cons(sk6,app(sk7,app(sk4,sk7)))) = sk6 )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_10017]) ).
tcf(c_41778,plain,
( ( app(sk7,app(sk4,sk7)) = nil )
| ( cons(skaf83(app(sk7,app(sk4,sk7))),skaf82(app(sk7,app(sk4,sk7)))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_356]) ).
tcf(c_41779,plain,
( ( app(sk7,app(sk4,sk7)) = nil )
| ( cons(hd(app(sk7,app(sk4,sk7))),tl(app(sk7,app(sk4,sk7)))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_351]) ).
tcf(c_41780,plain,
( ( hd(cons(sk5,app(sk7,app(sk4,sk7)))) = sk5 )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_10016]) ).
tcf(c_41781,plain,
( ( tl(cons(sk6,app(sk7,app(sk4,sk7)))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_9887]) ).
tcf(c_41782,plain,
( ( tl(cons(sk5,app(sk7,app(sk4,sk7)))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_9886]) ).
tcf(c_41783,plain,
( duplicatefreeP(app(sk7,app(sk4,sk7)))
| ~ iPr_def_11
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_6471]) ).
tcf(c_41784,plain,
( ( app(nil,app(sk7,app(sk4,sk7))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_321]) ).
tcf(c_41785,plain,
( ( app(app(sk7,app(sk4,sk7)),nil) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_320]) ).
tcf(c_42007,plain,
( ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40761,c_332]) ).
tcf(c_42008,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(app(app(sk7,sk4),sk8),X0)) ),
inference(superposition,[status(thm)],[c_40761,c_420]) ).
tcf(c_42009,plain,
! [X0: $i] :
( ( app(sk7,sk4) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk8)) != app(X0,sk8) ) ),
inference(superposition,[status(thm)],[c_40761,c_398]) ).
tcf(c_42011,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk7,sk4),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk4))
| ~ memberP(app(sk7,app(sk4,sk8)),X0) ),
inference(superposition,[status(thm)],[c_40761,c_405]) ).
tcf(c_42012,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_40761,c_366]) ).
tcf(c_42013,plain,
( ( app(sk7,sk4) = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_40761,c_365]) ).
tcf(c_42014,plain,
( frontsegP(app(sk7,app(sk4,sk8)),app(sk7,sk4))
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40761,c_808]) ).
tcf(c_42015,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk8)
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40761,c_807]) ).
tcf(c_42016,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40761,c_388]) ).
tcf(c_42017,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40761,c_383]) ).
tcf(c_42018,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ( app(app(sk7,sk4),X0) != app(sk7,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_40761,c_397]) ).
tcf(c_42019,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk4))
| ~ memberP(app(sk7,sk4),X0) ),
inference(superposition,[status(thm)],[c_40761,c_387]) ).
tcf(c_42020,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(app(sk7,sk4),X0) ),
inference(superposition,[status(thm)],[c_40761,c_384]) ).
tcf(c_42021,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk8)),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_40761,c_419]) ).
tcf(c_42022,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_40761,c_419]) ).
tcf(c_42023,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk4)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(app(sk7,sk4),sk8)) ),
inference(superposition,[status(thm)],[c_40761,c_420]) ).
tcf(c_42024,plain,
( ( app(sk7,sk4) = nil )
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk8)) != sk8 ) ),
inference(superposition,[status(thm)],[c_40761,c_17621]) ).
tcf(c_42025,plain,
( ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42007,c_6482]) ).
tcf(c_42028,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk8)
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42015,c_6482]) ).
tcf(c_42031,plain,
( frontsegP(app(sk7,app(sk4,sk8)),app(sk7,sk4))
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42014,c_6482]) ).
tcf(c_42037,plain,
( ( sk8 = nil )
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42012,c_6482]) ).
tcf(c_42041,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42017,c_6482]) ).
tcf(c_42046,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42016,c_6482]) ).
tcf(c_42051,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk4)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(light_normalisation,[status(thm)],[c_42023,c_40761]) ).
tcf(c_42052,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk4)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42051,c_6482,c_6483,c_6486]) ).
tcf(c_42055,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42022,c_6482,c_6483,c_6486]) ).
tcf(c_42059,plain,
( ( app(sk7,sk4) = nil )
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42013,c_6482]) ).
tcf(c_42063,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(app(sk7,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42020,c_6482]) ).
tcf(c_42068,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk8)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk4))
| ~ memberP(app(sk7,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42019,c_6482]) ).
tcf(c_42073,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk8)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42021,c_6482]) ).
tcf(c_42079,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk7,sk4),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk4))
| ~ memberP(app(sk7,app(sk4,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42011,c_6482]) ).
tcf(c_42085,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ( app(app(sk7,sk4),X0) != app(sk7,app(sk4,sk8)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42018,c_6482]) ).
tcf(c_42090,plain,
! [X0: $i] :
( ( app(sk7,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk8)) != app(X0,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42009,c_6482]) ).
tcf(c_42095,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(app(sk7,app(sk4,sk8)),X0)) ),
inference(light_normalisation,[status(thm)],[c_42008,c_40761]) ).
tcf(c_42096,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk8)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(app(sk7,app(sk4,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42095,c_6482]) ).
tcf(c_42189,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf76(X0)) = nil )
| ( cons(sk5,skaf76(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf76(X0)))
| ( skaf76(X0) != tl(X1) )
| ( hd(cons(sk5,skaf76(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10189,c_424]) ).
tcf(c_42192,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf76(X0)) = nil )
| ( cons(sk5,skaf76(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf76(X0)))
| ( hd(X1) != sk5 )
| ( skaf76(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_42189,c_10657]) ).
tcf(c_42212,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk8)),sk4),X0) = app(app(sk7,app(sk4,sk8)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_16215]) ).
tcf(c_42213,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk7,app(sk4,sk8)))) = app(cons(X1,X0),app(sk7,app(sk4,sk8))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_404]) ).
tcf(c_42214,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk7,app(sk4,sk8))),X0) = app(X1,app(app(sk7,app(sk4,sk8)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_396]) ).
tcf(c_42215,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk8)) = nil )
| ( app(tl(app(sk7,app(sk4,sk8))),X0) = tl(app(app(sk7,app(sk4,sk8)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_380]) ).
tcf(c_42216,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk8)) = nil )
| ( hd(app(app(sk7,app(sk4,sk8)),X0)) = hd(app(sk7,app(sk4,sk8))) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_370]) ).
tcf(c_42217,plain,
( ( app(app(sk7,sk4),app(sk7,app(sk4,sk8))) = app(sk7,app(sk4,app(sk7,app(sk4,sk8)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_37632]) ).
tcf(c_42218,plain,
( ( app(app(sk4,sk4),app(sk7,app(sk4,sk8))) = app(sk4,app(sk4,app(sk7,app(sk4,sk8)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_37631]) ).
tcf(c_42219,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk7,app(sk4,sk8))) = tl(app(sk8,app(sk7,app(sk4,sk8)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_14611]) ).
tcf(c_42220,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk7,app(sk4,sk8))) = tl(app(sk7,app(sk7,app(sk4,sk8)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_14610]) ).
tcf(c_42221,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk7,app(sk4,sk8))) = tl(app(sk4,app(sk7,app(sk4,sk8)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_14609]) ).
tcf(c_42222,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk7,app(sk4,sk8)))) = hd(sk8) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_11903]) ).
tcf(c_42223,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk7,app(sk4,sk8)))) = hd(sk7) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_11902]) ).
tcf(c_42224,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk7,app(sk4,sk8)))) = hd(sk4) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_11901]) ).
tcf(c_42225,plain,
( cyclefreeP(app(sk7,app(sk4,sk8)))
| ( app(app(skaf51(app(sk7,app(sk4,sk8))),cons(skaf49(app(sk7,app(sk4,sk8))),skaf52(app(sk7,app(sk4,sk8))))),cons(skaf50(app(sk7,app(sk4,sk8))),skaf53(app(sk7,app(sk4,sk8))))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_414]) ).
tcf(c_42226,plain,
( totalorderP(app(sk7,app(sk4,sk8)))
| ( app(app(skaf56(app(sk7,app(sk4,sk8))),cons(skaf54(app(sk7,app(sk4,sk8))),skaf57(app(sk7,app(sk4,sk8))))),cons(skaf55(app(sk7,app(sk4,sk8))),skaf58(app(sk7,app(sk4,sk8))))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_413]) ).
tcf(c_42227,plain,
( strictorderP(app(sk7,app(sk4,sk8)))
| ( app(app(skaf61(app(sk7,app(sk4,sk8))),cons(skaf59(app(sk7,app(sk4,sk8))),skaf62(app(sk7,app(sk4,sk8))))),cons(skaf60(app(sk7,app(sk4,sk8))),skaf63(app(sk7,app(sk4,sk8))))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_412]) ).
tcf(c_42228,plain,
( totalorderedP(app(sk7,app(sk4,sk8)))
| ( app(app(skaf66(app(sk7,app(sk4,sk8))),cons(skaf64(app(sk7,app(sk4,sk8))),skaf67(app(sk7,app(sk4,sk8))))),cons(skaf65(app(sk7,app(sk4,sk8))),skaf68(app(sk7,app(sk4,sk8))))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_411]) ).
tcf(c_42229,plain,
( strictorderedP(app(sk7,app(sk4,sk8)))
| ( app(app(skaf71(app(sk7,app(sk4,sk8))),cons(skaf69(app(sk7,app(sk4,sk8))),skaf72(app(sk7,app(sk4,sk8))))),cons(skaf70(app(sk7,app(sk4,sk8))),skaf73(app(sk7,app(sk4,sk8))))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_410]) ).
tcf(c_42230,plain,
( duplicatefreeP(app(sk7,app(sk4,sk8)))
| ( app(app(skaf75(app(sk7,app(sk4,sk8))),cons(skaf74(app(sk7,app(sk4,sk8))),skaf76(app(sk7,app(sk4,sk8))))),cons(skaf74(app(sk7,app(sk4,sk8))),skaf77(app(sk7,app(sk4,sk8))))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_409]) ).
tcf(c_42231,plain,
( equalelemsP(app(sk7,app(sk4,sk8)))
| ( app(skaf80(app(sk7,app(sk4,sk8))),cons(skaf78(app(sk7,app(sk4,sk8))),cons(skaf79(app(sk7,app(sk4,sk8))),skaf81(app(sk7,app(sk4,sk8)))))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_389]) ).
tcf(c_42232,plain,
( ( hd(cons(sk6,app(sk7,app(sk4,sk8)))) = sk6 )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_10017]) ).
tcf(c_42233,plain,
( ( app(sk7,app(sk4,sk8)) = nil )
| ( cons(skaf83(app(sk7,app(sk4,sk8))),skaf82(app(sk7,app(sk4,sk8)))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_356]) ).
tcf(c_42234,plain,
( ( app(sk7,app(sk4,sk8)) = nil )
| ( cons(hd(app(sk7,app(sk4,sk8))),tl(app(sk7,app(sk4,sk8)))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_351]) ).
tcf(c_42235,plain,
( ( hd(cons(sk5,app(sk7,app(sk4,sk8)))) = sk5 )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_10016]) ).
tcf(c_42236,plain,
( ( tl(cons(sk6,app(sk7,app(sk4,sk8)))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_9887]) ).
tcf(c_42237,plain,
( ( tl(cons(sk5,app(sk7,app(sk4,sk8)))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_9886]) ).
tcf(c_42238,plain,
( duplicatefreeP(app(sk7,app(sk4,sk8)))
| ~ iPr_def_11
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_6471]) ).
tcf(c_42239,plain,
( ( app(nil,app(sk7,app(sk4,sk8))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_321]) ).
tcf(c_42240,plain,
( ( app(app(sk7,app(sk4,sk8)),nil) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_320]) ).
tcf(c_42373,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41204,c_400]) ).
tcf(c_42374,plain,
( ( app(skaf46(app(sk7,app(sk4,sk4)),sk4),sk4) = app(sk7,app(sk4,sk4)) )
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41204,c_378]) ).
tcf(c_42375,plain,
( ( app(sk7,app(sk4,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41204,c_375]) ).
tcf(c_42376,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42373,c_6486]) ).
tcf(c_42382,plain,
( ( app(sk7,app(sk4,sk4)) = sk4 )
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42375,c_6486]) ).
tcf(c_42387,plain,
( ( app(skaf46(app(sk7,app(sk4,sk4)),sk4),sk4) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42374,c_6486]) ).
tcf(c_42396,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41652,c_400]) ).
tcf(c_42397,plain,
( ( app(skaf46(app(sk7,app(sk4,sk7)),sk7),sk7) = app(sk7,app(sk4,sk7)) )
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41652,c_378]) ).
tcf(c_42398,plain,
( ( app(sk7,app(sk4,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41652,c_375]) ).
tcf(c_42399,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42396,c_6483]) ).
tcf(c_42405,plain,
( ( app(sk7,app(sk4,sk7)) = sk7 )
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42398,c_6483]) ).
tcf(c_42410,plain,
( ( app(skaf46(app(sk7,app(sk4,sk7)),sk7),sk7) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42397,c_6483]) ).
tcf(c_42419,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_42028,c_400]) ).
tcf(c_42420,plain,
( ( app(skaf46(app(sk7,app(sk4,sk8)),sk8),sk8) = app(sk7,app(sk4,sk8)) )
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_42028,c_378]) ).
tcf(c_42421,plain,
( ( app(sk7,app(sk4,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ rearsegP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_42028,c_375]) ).
tcf(c_42422,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42419,c_6482]) ).
tcf(c_42428,plain,
( ( app(sk7,app(sk4,sk8)) = sk8 )
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ rearsegP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42421,c_6482]) ).
tcf(c_42433,plain,
( ( app(skaf46(app(sk7,app(sk4,sk8)),sk8),sk8) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42420,c_6482]) ).
tcf(c_42442,plain,
! [X0: $i] :
( frontsegP(X0,app(sk7,sk4))
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41207,c_401]) ).
tcf(c_42443,plain,
( ( app(app(sk7,sk4),skaf45(app(sk7,app(sk4,sk4)),app(sk7,sk4))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41207,c_379]) ).
tcf(c_42444,plain,
( ( app(sk7,app(sk4,sk4)) = app(sk7,sk4) )
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(app(sk7,sk4),app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41207,c_376]) ).
tcf(c_42462,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(X0,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41214,c_399]) ).
tcf(c_42463,plain,
( ( app(app(skaf47(app(sk7,app(sk4,sk4)),sk4),sk4),skaf48(sk4,app(sk7,app(sk4,sk4)))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(sk4)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41214,c_415]) ).
tcf(c_42464,plain,
( ( app(sk7,app(sk4,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41214,c_374]) ).
tcf(c_42465,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(X0,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42462,c_6486]) ).
tcf(c_42470,plain,
( ( app(sk7,app(sk4,sk4)) = sk4 )
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42464,c_6486]) ).
tcf(c_42474,plain,
( ( app(app(skaf47(app(sk7,app(sk4,sk4)),sk4),sk4),skaf48(sk4,app(sk7,app(sk4,sk4)))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42463,c_6486]) ).
tcf(c_42484,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(X0,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41217,c_399]) ).
tcf(c_42485,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk7,app(sk4,sk4)),X0),X0),skaf48(X0,app(sk7,app(sk4,sk4)))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41217,c_415]) ).
tcf(c_42486,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(X0,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41217,c_374]) ).
tcf(c_42487,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41217,c_27069]) ).
tcf(c_42488,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41217,c_28549]) ).
tcf(c_42489,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41217,c_27097]) ).
tcf(c_42490,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41217,c_27109]) ).
tcf(c_42491,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42490,c_24748]) ).
tcf(c_42495,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42489,c_9020]) ).
tcf(c_42499,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42488,c_9020]) ).
tcf(c_42503,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42487,c_9527]) ).
tcf(c_42639,plain,
! [X0: $i] :
( frontsegP(X0,app(sk7,sk4))
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41655,c_401]) ).
tcf(c_42640,plain,
( ( app(app(sk7,sk4),skaf45(app(sk7,app(sk4,sk7)),app(sk7,sk4))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41655,c_379]) ).
tcf(c_42641,plain,
( ( app(sk7,app(sk4,sk7)) = app(sk7,sk4) )
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(app(sk7,sk4),app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41655,c_376]) ).
tcf(c_42655,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf75(X0)) = nil )
| ( cons(sk5,skaf75(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf75(X0)))
| ( skaf75(X0) != tl(X1) )
| ( hd(cons(sk5,skaf75(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10190,c_424]) ).
tcf(c_42658,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf75(X0)) = nil )
| ( cons(sk5,skaf75(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf75(X0)))
| ( hd(X1) != sk5 )
| ( skaf75(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_42655,c_10658]) ).
tcf(c_42678,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(X0,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41662,c_399]) ).
tcf(c_42679,plain,
( ( app(app(skaf47(app(sk7,app(sk4,sk7)),sk4),sk4),skaf48(sk4,app(sk7,app(sk4,sk7)))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(sk4)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41662,c_415]) ).
tcf(c_42680,plain,
( ( app(sk7,app(sk4,sk7)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41662,c_374]) ).
tcf(c_42681,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(X0,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42678,c_6486]) ).
tcf(c_42686,plain,
( ( app(sk7,app(sk4,sk7)) = sk4 )
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42680,c_6486]) ).
tcf(c_42690,plain,
( ( app(app(skaf47(app(sk7,app(sk4,sk7)),sk4),sk4),skaf48(sk4,app(sk7,app(sk4,sk7)))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42679,c_6486]) ).
tcf(c_42700,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(X0,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41665,c_399]) ).
tcf(c_42701,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk7,app(sk4,sk7)),X0),X0),skaf48(X0,app(sk7,app(sk4,sk7)))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41665,c_415]) ).
tcf(c_42702,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(X0,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41665,c_374]) ).
tcf(c_42703,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41665,c_27069]) ).
tcf(c_42704,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41665,c_28549]) ).
tcf(c_42705,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41665,c_27097]) ).
tcf(c_42706,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41665,c_27109]) ).
tcf(c_42707,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42706,c_24748]) ).
tcf(c_42711,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42705,c_9020]) ).
tcf(c_42715,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42704,c_9020]) ).
tcf(c_42719,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42703,c_9527]) ).
tcf(c_42744,plain,
! [X0: $i] :
( frontsegP(X0,app(sk7,sk4))
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_42031,c_401]) ).
tcf(c_42745,plain,
( ( app(app(sk7,sk4),skaf45(app(sk7,app(sk4,sk8)),app(sk7,sk4))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_42031,c_379]) ).
tcf(c_42746,plain,
( ( app(sk7,app(sk4,sk8)) = app(sk7,sk4) )
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(app(sk7,sk4),app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_42031,c_376]) ).
tcf(c_42764,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(X0,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_42052,c_399]) ).
tcf(c_42765,plain,
( ( app(app(skaf47(app(sk7,app(sk4,sk8)),sk4),sk4),skaf48(sk4,app(sk7,app(sk4,sk8)))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(sk4)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_42052,c_415]) ).
tcf(c_42766,plain,
( ( app(sk7,app(sk4,sk8)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_42052,c_374]) ).
tcf(c_42767,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(X0,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42764,c_6486]) ).
tcf(c_42772,plain,
( ( app(sk7,app(sk4,sk8)) = sk4 )
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42766,c_6486]) ).
tcf(c_42776,plain,
( ( app(app(skaf47(app(sk7,app(sk4,sk8)),sk4),sk4),skaf48(sk4,app(sk7,app(sk4,sk8)))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42765,c_6486]) ).
tcf(c_42786,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(X0,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_42055,c_399]) ).
tcf(c_42787,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk7,app(sk4,sk8)),X0),X0),skaf48(X0,app(sk7,app(sk4,sk8)))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_42055,c_415]) ).
tcf(c_42788,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk8)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(X0,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_42055,c_374]) ).
tcf(c_42789,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_42055,c_27069]) ).
tcf(c_42790,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_42055,c_28549]) ).
tcf(c_42791,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_42055,c_27097]) ).
tcf(c_42792,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_42055,c_27109]) ).
tcf(c_42793,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk7)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42792,c_24748]) ).
tcf(c_42797,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk7)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42791,c_9020]) ).
tcf(c_42801,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk8)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42790,c_9020]) ).
tcf(c_42805,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk7)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42789,c_9527]) ).
tcf(c_42873,plain,
app(app(sk8,sk4),sk4) = app(sk8,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_6486,c_37633]) ).
tcf(c_42874,plain,
app(app(sk8,sk4),sk7) = app(sk8,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_6483,c_37633]) ).
tcf(c_42875,plain,
app(app(sk8,sk4),sk8) = app(sk8,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_6482,c_37633]) ).
tcf(c_42876,plain,
app(app(sk8,sk4),nil) = app(sk8,app(sk4,nil)),
inference(superposition,[status(thm)],[c_255,c_37633]) ).
tcf(c_42877,plain,
! [X0: $i] : app(app(sk8,sk4),skaf82(X0)) = app(sk8,app(sk4,skaf82(X0))),
inference(superposition,[status(thm)],[c_260,c_37633]) ).
tcf(c_42878,plain,
! [X0: $i] : app(app(sk8,sk4),skaf81(X0)) = app(sk8,app(sk4,skaf81(X0))),
inference(superposition,[status(thm)],[c_261,c_37633]) ).
tcf(c_42879,plain,
! [X0: $i] : app(app(sk8,sk4),skaf80(X0)) = app(sk8,app(sk4,skaf80(X0))),
inference(superposition,[status(thm)],[c_262,c_37633]) ).
tcf(c_42880,plain,
! [X0: $i] : app(app(sk8,sk4),skaf77(X0)) = app(sk8,app(sk4,skaf77(X0))),
inference(superposition,[status(thm)],[c_265,c_37633]) ).
tcf(c_42881,plain,
! [X0: $i] : app(app(sk8,sk4),skaf76(X0)) = app(sk8,app(sk4,skaf76(X0))),
inference(superposition,[status(thm)],[c_266,c_37633]) ).
tcf(c_42882,plain,
! [X0: $i] : app(app(sk8,sk4),skaf75(X0)) = app(sk8,app(sk4,skaf75(X0))),
inference(superposition,[status(thm)],[c_267,c_37633]) ).
tcf(c_42883,plain,
! [X0: $i] : app(app(sk8,sk4),skaf73(X0)) = app(sk8,app(sk4,skaf73(X0))),
inference(superposition,[status(thm)],[c_269,c_37633]) ).
tcf(c_42884,plain,
! [X0: $i] : app(app(sk8,sk4),skaf72(X0)) = app(sk8,app(sk4,skaf72(X0))),
inference(superposition,[status(thm)],[c_270,c_37633]) ).
tcf(c_42885,plain,
! [X0: $i] : app(app(sk8,sk4),skaf71(X0)) = app(sk8,app(sk4,skaf71(X0))),
inference(superposition,[status(thm)],[c_271,c_37633]) ).
tcf(c_42886,plain,
! [X0: $i] : app(app(sk8,sk4),skaf68(X0)) = app(sk8,app(sk4,skaf68(X0))),
inference(superposition,[status(thm)],[c_274,c_37633]) ).
tcf(c_42887,plain,
! [X0: $i] : app(app(sk8,sk4),skaf67(X0)) = app(sk8,app(sk4,skaf67(X0))),
inference(superposition,[status(thm)],[c_275,c_37633]) ).
tcf(c_42888,plain,
! [X0: $i] : app(app(sk8,sk4),skaf66(X0)) = app(sk8,app(sk4,skaf66(X0))),
inference(superposition,[status(thm)],[c_276,c_37633]) ).
tcf(c_42889,plain,
! [X0: $i] : app(app(sk8,sk4),skaf63(X0)) = app(sk8,app(sk4,skaf63(X0))),
inference(superposition,[status(thm)],[c_279,c_37633]) ).
tcf(c_42890,plain,
! [X0: $i] : app(app(sk8,sk4),skaf62(X0)) = app(sk8,app(sk4,skaf62(X0))),
inference(superposition,[status(thm)],[c_280,c_37633]) ).
tcf(c_42891,plain,
! [X0: $i] : app(app(sk8,sk4),skaf61(X0)) = app(sk8,app(sk4,skaf61(X0))),
inference(superposition,[status(thm)],[c_281,c_37633]) ).
tcf(c_42892,plain,
! [X0: $i] : app(app(sk8,sk4),skaf58(X0)) = app(sk8,app(sk4,skaf58(X0))),
inference(superposition,[status(thm)],[c_284,c_37633]) ).
tcf(c_42893,plain,
! [X0: $i] : app(app(sk8,sk4),skaf57(X0)) = app(sk8,app(sk4,skaf57(X0))),
inference(superposition,[status(thm)],[c_285,c_37633]) ).
tcf(c_42894,plain,
! [X0: $i] : app(app(sk8,sk4),skaf56(X0)) = app(sk8,app(sk4,skaf56(X0))),
inference(superposition,[status(thm)],[c_286,c_37633]) ).
tcf(c_42895,plain,
! [X0: $i] : app(app(sk8,sk4),skaf53(X0)) = app(sk8,app(sk4,skaf53(X0))),
inference(superposition,[status(thm)],[c_289,c_37633]) ).
tcf(c_42896,plain,
! [X0: $i] : app(app(sk8,sk4),skaf52(X0)) = app(sk8,app(sk4,skaf52(X0))),
inference(superposition,[status(thm)],[c_290,c_37633]) ).
tcf(c_42897,plain,
! [X0: $i] : app(app(sk8,sk4),skaf51(X0)) = app(sk8,app(sk4,skaf51(X0))),
inference(superposition,[status(thm)],[c_291,c_37633]) ).
tcf(c_42898,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk4),skaf48(X0,X1)) = app(sk8,app(sk4,skaf48(X0,X1))),
inference(superposition,[status(thm)],[c_295,c_37633]) ).
tcf(c_42899,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk4),skaf47(X0,X1)) = app(sk8,app(sk4,skaf47(X0,X1))),
inference(superposition,[status(thm)],[c_296,c_37633]) ).
tcf(c_42900,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk4),skaf46(X0,X1)) = app(sk8,app(sk4,skaf46(X0,X1))),
inference(superposition,[status(thm)],[c_297,c_37633]) ).
tcf(c_42901,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk4),skaf45(X0,X1)) = app(sk8,app(sk4,skaf45(X0,X1))),
inference(superposition,[status(thm)],[c_298,c_37633]) ).
tcf(c_42902,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk4),skaf43(X0,X1)) = app(sk8,app(sk4,skaf43(X0,X1))),
inference(superposition,[status(thm)],[c_299,c_37633]) ).
tcf(c_42903,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk4),skaf42(X0,X1)) = app(sk8,app(sk4,skaf42(X0,X1))),
inference(superposition,[status(thm)],[c_300,c_37633]) ).
tcf(c_42904,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sk8,sk4),tl(X0)) = app(sk8,app(sk4,tl(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_37633]) ).
tcf(c_42905,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk8,sk4),app(X1,X0)) = app(sk8,app(sk4,app(X1,X0))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_37633]) ).
tcf(c_42906,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk8,sk4),cons(X1,X0)) = app(sk8,app(sk4,cons(X1,X0))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_37633]) ).
tcf(c_42907,plain,
app(app(sk8,sk4),iPr_def_16) = app(sk8,app(sk4,iPr_def_16)),
inference(superposition,[status(thm)],[c_9020,c_37633]) ).
tcf(c_42908,plain,
app(app(sk8,sk4),iPr_def_13) = app(sk8,app(sk4,iPr_def_13)),
inference(superposition,[status(thm)],[c_9527,c_37633]) ).
tcf(c_42909,plain,
app(app(sk8,sk4),iPr_def_12) = app(sk8,app(sk4,iPr_def_12)),
inference(superposition,[status(thm)],[c_9489,c_37633]) ).
tcf(c_42910,plain,
app(app(sk8,sk4),iPr_def_15) = app(sk8,app(sk4,iPr_def_15)),
inference(superposition,[status(thm)],[c_24748,c_37633]) ).
tcf(c_42911,plain,
app(app(sk8,sk4),iPr_def_14) = app(sk8,app(sk4,iPr_def_14)),
inference(superposition,[status(thm)],[c_9488,c_37633]) ).
tcf(c_42912,plain,
app(app(sk8,sk4),cons(sk6,sk4)) = app(sk8,app(sk4,cons(sk6,sk4))),
inference(superposition,[status(thm)],[c_28942,c_37633]) ).
tcf(c_42913,plain,
app(app(sk8,sk4),cons(sk6,sk7)) = app(sk8,app(sk4,cons(sk6,sk7))),
inference(superposition,[status(thm)],[c_28940,c_37633]) ).
tcf(c_42914,plain,
app(app(sk8,sk4),cons(sk6,sk8)) = app(sk8,app(sk4,cons(sk6,sk8))),
inference(superposition,[status(thm)],[c_28938,c_37633]) ).
tcf(c_42915,plain,
( ( app(app(sk8,sk4),app(sk4,app(sk4,sk4))) = app(sk8,app(sk4,app(sk4,app(sk4,sk4)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_37633]) ).
tcf(c_42916,plain,
( ( app(app(sk8,sk4),app(sk4,app(sk4,sk7))) = app(sk8,app(sk4,app(sk4,app(sk4,sk7)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_37633]) ).
tcf(c_42917,plain,
( ( app(app(sk8,sk4),app(sk4,app(sk4,sk8))) = app(sk8,app(sk4,app(sk4,app(sk4,sk8)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_37633]) ).
tcf(c_42918,plain,
( ( app(app(sk8,sk4),app(sk7,app(sk4,sk4))) = app(sk8,app(sk4,app(sk7,app(sk4,sk4)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_37633]) ).
tcf(c_42919,plain,
( ( app(app(sk8,sk4),app(sk7,app(sk4,sk7))) = app(sk8,app(sk4,app(sk7,app(sk4,sk7)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_37633]) ).
tcf(c_42920,plain,
( ( app(app(sk8,sk4),app(sk7,app(sk4,sk8))) = app(sk8,app(sk4,app(sk7,app(sk4,sk8)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_37633]) ).
tcf(c_42921,plain,
app(app(sk8,sk4),nil) = app(sk8,sk4),
inference(light_normalisation,[status(thm)],[c_42876,c_9101]) ).
tcf(c_43031,plain,
( ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42873,c_332]) ).
tcf(c_43032,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(app(app(sk8,sk4),sk4),X0)) ),
inference(superposition,[status(thm)],[c_42873,c_420]) ).
tcf(c_43033,plain,
! [X0: $i] :
( ( app(sk8,sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_42873,c_398]) ).
tcf(c_43035,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk8,sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk4))
| ~ memberP(app(sk8,app(sk4,sk4)),X0) ),
inference(superposition,[status(thm)],[c_42873,c_405]) ).
tcf(c_43036,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_42873,c_366]) ).
tcf(c_43037,plain,
( ( app(sk8,sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_42873,c_365]) ).
tcf(c_43038,plain,
( frontsegP(app(sk8,app(sk4,sk4)),app(sk8,sk4))
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42873,c_808]) ).
tcf(c_43039,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42873,c_807]) ).
tcf(c_43040,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42873,c_388]) ).
tcf(c_43041,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42873,c_383]) ).
tcf(c_43042,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ( app(app(sk8,sk4),X0) != app(sk8,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_42873,c_397]) ).
tcf(c_43043,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk4))
| ~ memberP(app(sk8,sk4),X0) ),
inference(superposition,[status(thm)],[c_42873,c_387]) ).
tcf(c_43044,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(app(sk8,sk4),X0) ),
inference(superposition,[status(thm)],[c_42873,c_384]) ).
tcf(c_43045,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42873,c_419]) ).
tcf(c_43046,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_42873,c_419]) ).
tcf(c_43047,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk4)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(app(app(sk8,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_42873,c_420]) ).
tcf(c_43048,plain,
( ( app(sk8,sk4) = nil )
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_42873,c_17629]) ).
tcf(c_43049,plain,
( ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43031,c_6486]) ).
tcf(c_43052,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk4)
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43039,c_6486]) ).
tcf(c_43055,plain,
( frontsegP(app(sk8,app(sk4,sk4)),app(sk8,sk4))
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43038,c_6486]) ).
tcf(c_43061,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk4)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(light_normalisation,[status(thm)],[c_43047,c_42873]) ).
tcf(c_43062,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk4)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43061,c_6482,c_6486]) ).
tcf(c_43065,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43046,c_6482,c_6486]) ).
tcf(c_43069,plain,
( ( sk4 = nil )
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43036,c_6486]) ).
tcf(c_43073,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43041,c_6486]) ).
tcf(c_43078,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43040,c_6486]) ).
tcf(c_43083,plain,
( ( app(sk8,sk4) = nil )
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43037,c_6486]) ).
tcf(c_43087,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(app(sk8,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43044,c_6486]) ).
tcf(c_43092,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk4))
| ~ memberP(app(sk8,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43043,c_6486]) ).
tcf(c_43097,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43045,c_6486]) ).
tcf(c_43103,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk8,sk4),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk4))
| ~ memberP(app(sk8,app(sk4,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43035,c_6486]) ).
tcf(c_43109,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ( app(app(sk8,sk4),X0) != app(sk8,app(sk4,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43042,c_6486]) ).
tcf(c_43114,plain,
! [X0: $i] :
( ( app(sk8,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43033,c_6486]) ).
tcf(c_43119,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(app(sk8,app(sk4,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_43032,c_42873]) ).
tcf(c_43120,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(app(sk8,app(sk4,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43119,c_6486]) ).
tcf(c_43234,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk4)),sk4),X0) = app(app(sk8,app(sk4,sk4)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_16215]) ).
tcf(c_43235,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk8,app(sk4,sk4)))) = app(cons(X1,X0),app(sk8,app(sk4,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_404]) ).
tcf(c_43236,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk8,app(sk4,sk4))),X0) = app(X1,app(app(sk8,app(sk4,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_396]) ).
tcf(c_43237,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk4)) = nil )
| ( app(tl(app(sk8,app(sk4,sk4))),X0) = tl(app(app(sk8,app(sk4,sk4)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_380]) ).
tcf(c_43238,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk4)) = nil )
| ( hd(app(app(sk8,app(sk4,sk4)),X0)) = hd(app(sk8,app(sk4,sk4))) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_370]) ).
tcf(c_43239,plain,
( ( app(app(sk8,sk4),app(sk8,app(sk4,sk4))) = app(sk8,app(sk4,app(sk8,app(sk4,sk4)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_37633]) ).
tcf(c_43240,plain,
( ( app(app(sk7,sk4),app(sk8,app(sk4,sk4))) = app(sk7,app(sk4,app(sk8,app(sk4,sk4)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_37632]) ).
tcf(c_43241,plain,
( ( app(app(sk4,sk4),app(sk8,app(sk4,sk4))) = app(sk4,app(sk4,app(sk8,app(sk4,sk4)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_37631]) ).
tcf(c_43242,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk8,app(sk4,sk4))) = tl(app(sk8,app(sk8,app(sk4,sk4)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_14611]) ).
tcf(c_43243,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk8,app(sk4,sk4))) = tl(app(sk7,app(sk8,app(sk4,sk4)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_14610]) ).
tcf(c_43244,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk8,app(sk4,sk4))) = tl(app(sk4,app(sk8,app(sk4,sk4)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_14609]) ).
tcf(c_43245,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk8,app(sk4,sk4)))) = hd(sk8) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_11903]) ).
tcf(c_43246,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk8,app(sk4,sk4)))) = hd(sk7) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_11902]) ).
tcf(c_43247,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk8,app(sk4,sk4)))) = hd(sk4) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_11901]) ).
tcf(c_43248,plain,
( cyclefreeP(app(sk8,app(sk4,sk4)))
| ( app(app(skaf51(app(sk8,app(sk4,sk4))),cons(skaf49(app(sk8,app(sk4,sk4))),skaf52(app(sk8,app(sk4,sk4))))),cons(skaf50(app(sk8,app(sk4,sk4))),skaf53(app(sk8,app(sk4,sk4))))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_414]) ).
tcf(c_43249,plain,
( totalorderP(app(sk8,app(sk4,sk4)))
| ( app(app(skaf56(app(sk8,app(sk4,sk4))),cons(skaf54(app(sk8,app(sk4,sk4))),skaf57(app(sk8,app(sk4,sk4))))),cons(skaf55(app(sk8,app(sk4,sk4))),skaf58(app(sk8,app(sk4,sk4))))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_413]) ).
tcf(c_43250,plain,
( strictorderP(app(sk8,app(sk4,sk4)))
| ( app(app(skaf61(app(sk8,app(sk4,sk4))),cons(skaf59(app(sk8,app(sk4,sk4))),skaf62(app(sk8,app(sk4,sk4))))),cons(skaf60(app(sk8,app(sk4,sk4))),skaf63(app(sk8,app(sk4,sk4))))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_412]) ).
tcf(c_43251,plain,
( totalorderedP(app(sk8,app(sk4,sk4)))
| ( app(app(skaf66(app(sk8,app(sk4,sk4))),cons(skaf64(app(sk8,app(sk4,sk4))),skaf67(app(sk8,app(sk4,sk4))))),cons(skaf65(app(sk8,app(sk4,sk4))),skaf68(app(sk8,app(sk4,sk4))))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_411]) ).
tcf(c_43252,plain,
( strictorderedP(app(sk8,app(sk4,sk4)))
| ( app(app(skaf71(app(sk8,app(sk4,sk4))),cons(skaf69(app(sk8,app(sk4,sk4))),skaf72(app(sk8,app(sk4,sk4))))),cons(skaf70(app(sk8,app(sk4,sk4))),skaf73(app(sk8,app(sk4,sk4))))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_410]) ).
tcf(c_43253,plain,
( duplicatefreeP(app(sk8,app(sk4,sk4)))
| ( app(app(skaf75(app(sk8,app(sk4,sk4))),cons(skaf74(app(sk8,app(sk4,sk4))),skaf76(app(sk8,app(sk4,sk4))))),cons(skaf74(app(sk8,app(sk4,sk4))),skaf77(app(sk8,app(sk4,sk4))))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_409]) ).
tcf(c_43254,plain,
( equalelemsP(app(sk8,app(sk4,sk4)))
| ( app(skaf80(app(sk8,app(sk4,sk4))),cons(skaf78(app(sk8,app(sk4,sk4))),cons(skaf79(app(sk8,app(sk4,sk4))),skaf81(app(sk8,app(sk4,sk4)))))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_389]) ).
tcf(c_43255,plain,
( ( hd(cons(sk6,app(sk8,app(sk4,sk4)))) = sk6 )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_10017]) ).
tcf(c_43256,plain,
( ( app(sk8,app(sk4,sk4)) = nil )
| ( cons(skaf83(app(sk8,app(sk4,sk4))),skaf82(app(sk8,app(sk4,sk4)))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_356]) ).
tcf(c_43257,plain,
( ( app(sk8,app(sk4,sk4)) = nil )
| ( cons(hd(app(sk8,app(sk4,sk4))),tl(app(sk8,app(sk4,sk4)))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_351]) ).
tcf(c_43258,plain,
( ( hd(cons(sk5,app(sk8,app(sk4,sk4)))) = sk5 )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_10016]) ).
tcf(c_43259,plain,
( ( tl(cons(sk6,app(sk8,app(sk4,sk4)))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_9887]) ).
tcf(c_43260,plain,
( ( tl(cons(sk5,app(sk8,app(sk4,sk4)))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_9886]) ).
tcf(c_43261,plain,
( duplicatefreeP(app(sk8,app(sk4,sk4)))
| ~ iPr_def_11
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_6471]) ).
tcf(c_43262,plain,
( ( app(nil,app(sk8,app(sk4,sk4))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_321]) ).
tcf(c_43263,plain,
( ( app(app(sk8,app(sk4,sk4)),nil) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_320]) ).
tcf(c_43381,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf73(X0)) = nil )
| ( cons(sk5,skaf73(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf73(X0)))
| ( skaf73(X0) != tl(X1) )
| ( hd(cons(sk5,skaf73(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10191,c_424]) ).
tcf(c_43384,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf73(X0)) = nil )
| ( cons(sk5,skaf73(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf73(X0)))
| ( hd(X1) != sk5 )
| ( skaf73(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_43381,c_10659]) ).
tcf(c_43397,plain,
( ( sk4 = nil )
| ( app(skaf42(sk4,skaf83(sk4)),cons(skaf83(sk4),skaf43(skaf83(sk4),sk4))) = sk4 )
| ~ ssList(sk4)
| ~ ssItem(skaf83(sk4)) ),
inference(superposition,[status(thm)],[c_11798,c_416]) ).
tcf(c_43398,plain,
( ( sk4 = nil )
| ( app(skaf42(sk4,skaf83(sk4)),cons(skaf83(sk4),skaf43(skaf83(sk4),sk4))) = sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43397,c_6486,c_259]) ).
tcf(c_43405,plain,
( ( sk7 = nil )
| ( app(skaf42(sk7,skaf83(sk7)),cons(skaf83(sk7),skaf43(skaf83(sk7),sk7))) = sk7 )
| ~ ssList(sk7)
| ~ ssItem(skaf83(sk7)) ),
inference(superposition,[status(thm)],[c_12274,c_416]) ).
tcf(c_43406,plain,
( memberP(iPr_def_16,skaf83(sk7))
| ( sk7 = nil )
| ~ ssItem(skaf83(sk7)) ),
inference(superposition,[status(thm)],[c_12274,c_26399]) ).
tcf(c_43407,plain,
( memberP(iPr_def_15,skaf83(sk7))
| ( sk7 = nil )
| ~ ssItem(skaf83(sk7)) ),
inference(superposition,[status(thm)],[c_12274,c_24754]) ).
tcf(c_43408,plain,
( memberP(iPr_def_13,skaf83(sk7))
| ( sk7 = nil )
| ~ ssItem(skaf83(sk7)) ),
inference(superposition,[status(thm)],[c_12274,c_13841]) ).
tcf(c_43409,plain,
( memberP(iPr_def_13,skaf83(sk7))
| ( sk7 = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43408,c_259]) ).
tcf(c_43412,plain,
( memberP(iPr_def_15,skaf83(sk7))
| ( sk7 = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43407,c_259]) ).
tcf(c_43415,plain,
( memberP(iPr_def_16,skaf83(sk7))
| ( sk7 = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43406,c_259]) ).
tcf(c_43418,plain,
( ( sk7 = nil )
| ( app(skaf42(sk7,skaf83(sk7)),cons(skaf83(sk7),skaf43(skaf83(sk7),sk7))) = sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43405,c_6483,c_259]) ).
tcf(c_43440,plain,
( ( sk8 = nil )
| ( app(skaf42(sk8,skaf83(sk8)),cons(skaf83(sk8),skaf43(skaf83(sk8),sk8))) = sk8 )
| ~ ssList(sk8)
| ~ ssItem(skaf83(sk8)) ),
inference(superposition,[status(thm)],[c_12336,c_416]) ).
tcf(c_43441,plain,
( memberP(iPr_def_16,skaf83(sk8))
| ( sk8 = nil )
| ~ ssItem(skaf83(sk8)) ),
inference(superposition,[status(thm)],[c_12336,c_14077]) ).
tcf(c_43442,plain,
( memberP(iPr_def_16,skaf83(sk8))
| ( sk8 = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43441,c_259]) ).
tcf(c_43445,plain,
( ( sk8 = nil )
| ( app(skaf42(sk8,skaf83(sk8)),cons(skaf83(sk8),skaf43(skaf83(sk8),sk8))) = sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43440,c_6482,c_259]) ).
tcf(c_43458,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_13,iPr_def_13))
| ~ ssList(app(app(skaf46(iPr_def_13,iPr_def_13),iPr_def_13),X0)) ),
inference(superposition,[status(thm)],[c_12953,c_420]) ).
tcf(c_43459,plain,
! [X0: $i] :
( ( skaf46(iPr_def_13,iPr_def_13) = X0 )
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_13,iPr_def_13))
| ( app(X0,iPr_def_13) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_12953,c_398]) ).
tcf(c_43464,plain,
( frontsegP(iPr_def_13,skaf46(iPr_def_13,iPr_def_13))
| ~ ssList(iPr_def_13)
| ~ ssList(skaf46(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_12953,c_808]) ).
tcf(c_43468,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_13,iPr_def_13))
| ( app(skaf46(iPr_def_13,iPr_def_13),X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_12953,c_397]) ).
tcf(c_43469,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssItem(X0)
| ~ ssList(skaf46(iPr_def_13,iPr_def_13))
| ~ memberP(skaf46(iPr_def_13,iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_12953,c_387]) ).
tcf(c_43470,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_13,iPr_def_13))
| ~ frontsegP(skaf46(iPr_def_13,iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_12953,c_384]) ).
tcf(c_43471,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_13,X0)
| ~ ssList(skaf46(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_12953,c_419]) ).
tcf(c_43472,plain,
frontsegP(iPr_def_13,skaf46(iPr_def_13,iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_43464,c_9527,c_297]) ).
tcf(c_43473,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(iPr_def_13,iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43470,c_9527,c_297]) ).
tcf(c_43477,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(iPr_def_13,iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43469,c_9527,c_297]) ).
tcf(c_43482,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(X0)
| ( app(skaf46(iPr_def_13,iPr_def_13),X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43468,c_9527,c_297]) ).
tcf(c_43486,plain,
! [X0: $i] :
( ( skaf46(iPr_def_13,iPr_def_13) = X0 )
| ~ ssList(X0)
| ( app(X0,iPr_def_13) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43459,c_9527,c_297]) ).
tcf(c_43490,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_13,iPr_def_13))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_43458,c_12953]) ).
tcf(c_43706,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_13,iPr_def_13))
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_13)
| ~ ssList(skaf46(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_43472,c_401]) ).
tcf(c_43707,plain,
( ( app(skaf46(iPr_def_13,iPr_def_13),skaf45(iPr_def_13,skaf46(iPr_def_13,iPr_def_13))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(skaf46(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_43472,c_379]) ).
tcf(c_43708,plain,
( ( skaf46(iPr_def_13,iPr_def_13) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(skaf46(iPr_def_13,iPr_def_13))
| ~ frontsegP(skaf46(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_43472,c_376]) ).
tcf(c_43709,plain,
( ( skaf46(iPr_def_13,iPr_def_13) = iPr_def_13 )
| ~ frontsegP(skaf46(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43708,c_9527,c_297]) ).
tcf(c_43712,plain,
app(skaf46(iPr_def_13,iPr_def_13),skaf45(iPr_def_13,skaf46(iPr_def_13,iPr_def_13))) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_43707,c_9527,c_297]) ).
tcf(c_43713,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_13,iPr_def_13))
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43706,c_9527,c_297]) ).
tcf(c_43719,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_12,iPr_def_12))
| ~ ssList(app(app(skaf46(iPr_def_12,iPr_def_12),iPr_def_12),X0)) ),
inference(superposition,[status(thm)],[c_12954,c_420]) ).
tcf(c_43720,plain,
! [X0: $i] :
( ( skaf46(iPr_def_12,iPr_def_12) = X0 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_12,iPr_def_12))
| ( app(X0,iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12954,c_398]) ).
tcf(c_43725,plain,
( frontsegP(iPr_def_12,skaf46(iPr_def_12,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(skaf46(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_12954,c_808]) ).
tcf(c_43729,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_12,iPr_def_12))
| ( app(skaf46(iPr_def_12,iPr_def_12),X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12954,c_397]) ).
tcf(c_43730,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssItem(X0)
| ~ ssList(skaf46(iPr_def_12,iPr_def_12))
| ~ memberP(skaf46(iPr_def_12,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_12954,c_387]) ).
tcf(c_43731,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_12,iPr_def_12))
| ~ frontsegP(skaf46(iPr_def_12,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_12954,c_384]) ).
tcf(c_43732,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0)
| ~ ssList(skaf46(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_12954,c_419]) ).
tcf(c_43733,plain,
( ( skaf46(iPr_def_12,iPr_def_12) = sk7 )
| ~ ssList(skaf46(iPr_def_12,iPr_def_12))
| ( iPr_def_12 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_12954,c_17658]) ).
tcf(c_43735,plain,
frontsegP(iPr_def_12,skaf46(iPr_def_12,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_43725,c_9489,c_297]) ).
tcf(c_43736,plain,
( ( skaf46(iPr_def_12,iPr_def_12) = sk7 )
| ( iPr_def_12 != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43733,c_297]) ).
tcf(c_43739,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(iPr_def_12,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43731,c_9489,c_297]) ).
tcf(c_43743,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(iPr_def_12,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43730,c_9489,c_297]) ).
tcf(c_43748,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(skaf46(iPr_def_12,iPr_def_12),X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43729,c_9489,c_297]) ).
tcf(c_43752,plain,
! [X0: $i] :
( ( skaf46(iPr_def_12,iPr_def_12) = X0 )
| ~ ssList(X0)
| ( app(X0,iPr_def_12) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43720,c_9489,c_297]) ).
tcf(c_43756,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_12,iPr_def_12))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(light_normalisation,[status(thm)],[c_43719,c_12954]) ).
tcf(c_43762,plain,
( ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42874,c_332]) ).
tcf(c_43763,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(app(app(sk8,sk4),sk7),X0)) ),
inference(superposition,[status(thm)],[c_42874,c_420]) ).
tcf(c_43764,plain,
! [X0: $i] :
( ( app(sk8,sk4) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_42874,c_398]) ).
tcf(c_43766,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk8,sk4),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk4))
| ~ memberP(app(sk8,app(sk4,sk7)),X0) ),
inference(superposition,[status(thm)],[c_42874,c_405]) ).
tcf(c_43767,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_42874,c_366]) ).
tcf(c_43768,plain,
( ( app(sk8,sk4) = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_42874,c_365]) ).
tcf(c_43769,plain,
( frontsegP(app(sk8,app(sk4,sk7)),app(sk8,sk4))
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42874,c_808]) ).
tcf(c_43770,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42874,c_807]) ).
tcf(c_43771,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42874,c_388]) ).
tcf(c_43772,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42874,c_383]) ).
tcf(c_43773,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ( app(app(sk8,sk4),X0) != app(sk8,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_42874,c_397]) ).
tcf(c_43774,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk4))
| ~ memberP(app(sk8,sk4),X0) ),
inference(superposition,[status(thm)],[c_42874,c_387]) ).
tcf(c_43775,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(app(sk8,sk4),X0) ),
inference(superposition,[status(thm)],[c_42874,c_384]) ).
tcf(c_43776,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42874,c_419]) ).
tcf(c_43777,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_42874,c_419]) ).
tcf(c_43778,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk4)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(app(sk8,sk4),sk7)) ),
inference(superposition,[status(thm)],[c_42874,c_420]) ).
tcf(c_43779,plain,
( ( app(sk8,sk4) = nil )
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_42874,c_17625]) ).
tcf(c_43780,plain,
( ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43762,c_6483]) ).
tcf(c_43783,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43770,c_6483]) ).
tcf(c_43786,plain,
( frontsegP(app(sk8,app(sk4,sk7)),app(sk8,sk4))
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43769,c_6483]) ).
tcf(c_43792,plain,
( ( sk7 = nil )
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43767,c_6483]) ).
tcf(c_43796,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43772,c_6483]) ).
tcf(c_43801,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43771,c_6483]) ).
tcf(c_43806,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk4)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(light_normalisation,[status(thm)],[c_43778,c_42874]) ).
tcf(c_43807,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk4)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43806,c_6482,c_6483,c_6486]) ).
tcf(c_43810,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43777,c_6482,c_6483,c_6486]) ).
tcf(c_43814,plain,
( ( app(sk8,sk4) = nil )
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43768,c_6483]) ).
tcf(c_43818,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(app(sk8,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43775,c_6483]) ).
tcf(c_43823,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk4))
| ~ memberP(app(sk8,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43774,c_6483]) ).
tcf(c_43828,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43776,c_6483]) ).
tcf(c_43834,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk8,sk4),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk4))
| ~ memberP(app(sk8,app(sk4,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43766,c_6483]) ).
tcf(c_43840,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ( app(app(sk8,sk4),X0) != app(sk8,app(sk4,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43773,c_6483]) ).
tcf(c_43845,plain,
! [X0: $i] :
( ( app(sk8,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43764,c_6483]) ).
tcf(c_43850,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(app(sk8,app(sk4,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_43763,c_42874]) ).
tcf(c_43851,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(app(sk8,app(sk4,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43850,c_6483]) ).
tcf(c_43873,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk7)),sk4),X0) = app(app(sk8,app(sk4,sk7)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_16215]) ).
tcf(c_43874,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk8,app(sk4,sk7)))) = app(cons(X1,X0),app(sk8,app(sk4,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_404]) ).
tcf(c_43875,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk8,app(sk4,sk7))),X0) = app(X1,app(app(sk8,app(sk4,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_396]) ).
tcf(c_43876,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk7)) = nil )
| ( app(tl(app(sk8,app(sk4,sk7))),X0) = tl(app(app(sk8,app(sk4,sk7)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_380]) ).
tcf(c_43877,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk7)) = nil )
| ( hd(app(app(sk8,app(sk4,sk7)),X0)) = hd(app(sk8,app(sk4,sk7))) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_370]) ).
tcf(c_43878,plain,
( ( app(app(sk8,sk4),app(sk8,app(sk4,sk7))) = app(sk8,app(sk4,app(sk8,app(sk4,sk7)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_37633]) ).
tcf(c_43879,plain,
( ( app(app(sk7,sk4),app(sk8,app(sk4,sk7))) = app(sk7,app(sk4,app(sk8,app(sk4,sk7)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_37632]) ).
tcf(c_43880,plain,
( ( app(app(sk4,sk4),app(sk8,app(sk4,sk7))) = app(sk4,app(sk4,app(sk8,app(sk4,sk7)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_37631]) ).
tcf(c_43881,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk8,app(sk4,sk7))) = tl(app(sk8,app(sk8,app(sk4,sk7)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_14611]) ).
tcf(c_43882,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk8,app(sk4,sk7))) = tl(app(sk7,app(sk8,app(sk4,sk7)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_14610]) ).
tcf(c_43883,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk8,app(sk4,sk7))) = tl(app(sk4,app(sk8,app(sk4,sk7)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_14609]) ).
tcf(c_43884,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk8,app(sk4,sk7)))) = hd(sk8) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_11903]) ).
tcf(c_43885,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk8,app(sk4,sk7)))) = hd(sk7) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_11902]) ).
tcf(c_43886,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk8,app(sk4,sk7)))) = hd(sk4) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_11901]) ).
tcf(c_43887,plain,
( cyclefreeP(app(sk8,app(sk4,sk7)))
| ( app(app(skaf51(app(sk8,app(sk4,sk7))),cons(skaf49(app(sk8,app(sk4,sk7))),skaf52(app(sk8,app(sk4,sk7))))),cons(skaf50(app(sk8,app(sk4,sk7))),skaf53(app(sk8,app(sk4,sk7))))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_414]) ).
tcf(c_43888,plain,
( totalorderP(app(sk8,app(sk4,sk7)))
| ( app(app(skaf56(app(sk8,app(sk4,sk7))),cons(skaf54(app(sk8,app(sk4,sk7))),skaf57(app(sk8,app(sk4,sk7))))),cons(skaf55(app(sk8,app(sk4,sk7))),skaf58(app(sk8,app(sk4,sk7))))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_413]) ).
tcf(c_43889,plain,
( strictorderP(app(sk8,app(sk4,sk7)))
| ( app(app(skaf61(app(sk8,app(sk4,sk7))),cons(skaf59(app(sk8,app(sk4,sk7))),skaf62(app(sk8,app(sk4,sk7))))),cons(skaf60(app(sk8,app(sk4,sk7))),skaf63(app(sk8,app(sk4,sk7))))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_412]) ).
tcf(c_43890,plain,
( totalorderedP(app(sk8,app(sk4,sk7)))
| ( app(app(skaf66(app(sk8,app(sk4,sk7))),cons(skaf64(app(sk8,app(sk4,sk7))),skaf67(app(sk8,app(sk4,sk7))))),cons(skaf65(app(sk8,app(sk4,sk7))),skaf68(app(sk8,app(sk4,sk7))))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_411]) ).
tcf(c_43891,plain,
( strictorderedP(app(sk8,app(sk4,sk7)))
| ( app(app(skaf71(app(sk8,app(sk4,sk7))),cons(skaf69(app(sk8,app(sk4,sk7))),skaf72(app(sk8,app(sk4,sk7))))),cons(skaf70(app(sk8,app(sk4,sk7))),skaf73(app(sk8,app(sk4,sk7))))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_410]) ).
tcf(c_43892,plain,
( duplicatefreeP(app(sk8,app(sk4,sk7)))
| ( app(app(skaf75(app(sk8,app(sk4,sk7))),cons(skaf74(app(sk8,app(sk4,sk7))),skaf76(app(sk8,app(sk4,sk7))))),cons(skaf74(app(sk8,app(sk4,sk7))),skaf77(app(sk8,app(sk4,sk7))))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_409]) ).
tcf(c_43893,plain,
( equalelemsP(app(sk8,app(sk4,sk7)))
| ( app(skaf80(app(sk8,app(sk4,sk7))),cons(skaf78(app(sk8,app(sk4,sk7))),cons(skaf79(app(sk8,app(sk4,sk7))),skaf81(app(sk8,app(sk4,sk7)))))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_389]) ).
tcf(c_43894,plain,
( ( hd(cons(sk6,app(sk8,app(sk4,sk7)))) = sk6 )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_10017]) ).
tcf(c_43895,plain,
( ( app(sk8,app(sk4,sk7)) = nil )
| ( cons(skaf83(app(sk8,app(sk4,sk7))),skaf82(app(sk8,app(sk4,sk7)))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_356]) ).
tcf(c_43896,plain,
( ( app(sk8,app(sk4,sk7)) = nil )
| ( cons(hd(app(sk8,app(sk4,sk7))),tl(app(sk8,app(sk4,sk7)))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_351]) ).
tcf(c_43897,plain,
( ( hd(cons(sk5,app(sk8,app(sk4,sk7)))) = sk5 )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_10016]) ).
tcf(c_43898,plain,
( ( tl(cons(sk6,app(sk8,app(sk4,sk7)))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_9887]) ).
tcf(c_43899,plain,
( ( tl(cons(sk5,app(sk8,app(sk4,sk7)))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_9886]) ).
tcf(c_43900,plain,
( duplicatefreeP(app(sk8,app(sk4,sk7)))
| ~ iPr_def_11
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_6471]) ).
tcf(c_43901,plain,
( ( app(nil,app(sk8,app(sk4,sk7))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_321]) ).
tcf(c_43902,plain,
( ( app(app(sk8,app(sk4,sk7)),nil) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_320]) ).
tcf(c_44188,plain,
( ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42875,c_332]) ).
tcf(c_44189,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(app(app(sk8,sk4),sk8),X0)) ),
inference(superposition,[status(thm)],[c_42875,c_420]) ).
tcf(c_44190,plain,
! [X0: $i] :
( ( app(sk8,sk4) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk8)) != app(X0,sk8) ) ),
inference(superposition,[status(thm)],[c_42875,c_398]) ).
tcf(c_44192,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk8,sk4),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk4))
| ~ memberP(app(sk8,app(sk4,sk8)),X0) ),
inference(superposition,[status(thm)],[c_42875,c_405]) ).
tcf(c_44193,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_42875,c_366]) ).
tcf(c_44194,plain,
( ( app(sk8,sk4) = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_42875,c_365]) ).
tcf(c_44195,plain,
( frontsegP(app(sk8,app(sk4,sk8)),app(sk8,sk4))
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42875,c_808]) ).
tcf(c_44196,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk8)
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42875,c_807]) ).
tcf(c_44197,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42875,c_388]) ).
tcf(c_44198,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42875,c_383]) ).
tcf(c_44199,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ( app(app(sk8,sk4),X0) != app(sk8,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_42875,c_397]) ).
tcf(c_44200,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk4))
| ~ memberP(app(sk8,sk4),X0) ),
inference(superposition,[status(thm)],[c_42875,c_387]) ).
tcf(c_44201,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(app(sk8,sk4),X0) ),
inference(superposition,[status(thm)],[c_42875,c_384]) ).
tcf(c_44202,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk8)),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_42875,c_419]) ).
tcf(c_44203,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_42875,c_419]) ).
tcf(c_44204,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk4)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(app(app(sk8,sk4),sk8)) ),
inference(superposition,[status(thm)],[c_42875,c_420]) ).
tcf(c_44205,plain,
( ( app(sk8,sk4) = nil )
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk8)) != sk8 ) ),
inference(superposition,[status(thm)],[c_42875,c_17621]) ).
tcf(c_44206,plain,
( ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44188,c_6482]) ).
tcf(c_44209,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44196,c_6482]) ).
tcf(c_44212,plain,
( frontsegP(app(sk8,app(sk4,sk8)),app(sk8,sk4))
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44195,c_6482]) ).
tcf(c_44218,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk4)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(light_normalisation,[status(thm)],[c_44204,c_42875]) ).
tcf(c_44219,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk4)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44218,c_6482,c_6486]) ).
tcf(c_44222,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44203,c_6482,c_6486]) ).
tcf(c_44226,plain,
( ( sk8 = nil )
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44193,c_6482]) ).
tcf(c_44230,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44198,c_6482]) ).
tcf(c_44235,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44197,c_6482]) ).
tcf(c_44240,plain,
( ( app(sk8,sk4) = nil )
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44194,c_6482]) ).
tcf(c_44244,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(app(sk8,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44201,c_6482]) ).
tcf(c_44249,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk8)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk4))
| ~ memberP(app(sk8,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44200,c_6482]) ).
tcf(c_44254,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk8)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44202,c_6482]) ).
tcf(c_44260,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk8,sk4),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk4))
| ~ memberP(app(sk8,app(sk4,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44192,c_6482]) ).
tcf(c_44266,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ( app(app(sk8,sk4),X0) != app(sk8,app(sk4,sk8)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44199,c_6482]) ).
tcf(c_44271,plain,
! [X0: $i] :
( ( app(sk8,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk8)) != app(X0,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44190,c_6482]) ).
tcf(c_44276,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(app(sk8,app(sk4,sk8)),X0)) ),
inference(light_normalisation,[status(thm)],[c_44189,c_42875]) ).
tcf(c_44277,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk8)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(app(sk8,app(sk4,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44276,c_6482]) ).
tcf(c_44359,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk8)),sk4),X0) = app(app(sk8,app(sk4,sk8)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_16215]) ).
tcf(c_44360,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk8,app(sk4,sk8)))) = app(cons(X1,X0),app(sk8,app(sk4,sk8))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_404]) ).
tcf(c_44361,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk8,app(sk4,sk8))),X0) = app(X1,app(app(sk8,app(sk4,sk8)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_396]) ).
tcf(c_44362,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk8)) = nil )
| ( app(tl(app(sk8,app(sk4,sk8))),X0) = tl(app(app(sk8,app(sk4,sk8)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_380]) ).
tcf(c_44363,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk8)) = nil )
| ( hd(app(app(sk8,app(sk4,sk8)),X0)) = hd(app(sk8,app(sk4,sk8))) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_370]) ).
tcf(c_44364,plain,
( ( app(app(sk8,sk4),app(sk8,app(sk4,sk8))) = app(sk8,app(sk4,app(sk8,app(sk4,sk8)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_37633]) ).
tcf(c_44365,plain,
( ( app(app(sk7,sk4),app(sk8,app(sk4,sk8))) = app(sk7,app(sk4,app(sk8,app(sk4,sk8)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_37632]) ).
tcf(c_44366,plain,
( ( app(app(sk4,sk4),app(sk8,app(sk4,sk8))) = app(sk4,app(sk4,app(sk8,app(sk4,sk8)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_37631]) ).
tcf(c_44367,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk8,app(sk4,sk8))) = tl(app(sk8,app(sk8,app(sk4,sk8)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_14611]) ).
tcf(c_44368,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk8,app(sk4,sk8))) = tl(app(sk7,app(sk8,app(sk4,sk8)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_14610]) ).
tcf(c_44369,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk8,app(sk4,sk8))) = tl(app(sk4,app(sk8,app(sk4,sk8)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_14609]) ).
tcf(c_44370,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk8,app(sk4,sk8)))) = hd(sk8) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_11903]) ).
tcf(c_44371,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk8,app(sk4,sk8)))) = hd(sk7) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_11902]) ).
tcf(c_44372,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk8,app(sk4,sk8)))) = hd(sk4) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_11901]) ).
tcf(c_44373,plain,
( cyclefreeP(app(sk8,app(sk4,sk8)))
| ( app(app(skaf51(app(sk8,app(sk4,sk8))),cons(skaf49(app(sk8,app(sk4,sk8))),skaf52(app(sk8,app(sk4,sk8))))),cons(skaf50(app(sk8,app(sk4,sk8))),skaf53(app(sk8,app(sk4,sk8))))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_414]) ).
tcf(c_44374,plain,
( totalorderP(app(sk8,app(sk4,sk8)))
| ( app(app(skaf56(app(sk8,app(sk4,sk8))),cons(skaf54(app(sk8,app(sk4,sk8))),skaf57(app(sk8,app(sk4,sk8))))),cons(skaf55(app(sk8,app(sk4,sk8))),skaf58(app(sk8,app(sk4,sk8))))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_413]) ).
tcf(c_44375,plain,
( strictorderP(app(sk8,app(sk4,sk8)))
| ( app(app(skaf61(app(sk8,app(sk4,sk8))),cons(skaf59(app(sk8,app(sk4,sk8))),skaf62(app(sk8,app(sk4,sk8))))),cons(skaf60(app(sk8,app(sk4,sk8))),skaf63(app(sk8,app(sk4,sk8))))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_412]) ).
tcf(c_44376,plain,
( totalorderedP(app(sk8,app(sk4,sk8)))
| ( app(app(skaf66(app(sk8,app(sk4,sk8))),cons(skaf64(app(sk8,app(sk4,sk8))),skaf67(app(sk8,app(sk4,sk8))))),cons(skaf65(app(sk8,app(sk4,sk8))),skaf68(app(sk8,app(sk4,sk8))))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_411]) ).
tcf(c_44377,plain,
( strictorderedP(app(sk8,app(sk4,sk8)))
| ( app(app(skaf71(app(sk8,app(sk4,sk8))),cons(skaf69(app(sk8,app(sk4,sk8))),skaf72(app(sk8,app(sk4,sk8))))),cons(skaf70(app(sk8,app(sk4,sk8))),skaf73(app(sk8,app(sk4,sk8))))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_410]) ).
tcf(c_44378,plain,
( duplicatefreeP(app(sk8,app(sk4,sk8)))
| ( app(app(skaf75(app(sk8,app(sk4,sk8))),cons(skaf74(app(sk8,app(sk4,sk8))),skaf76(app(sk8,app(sk4,sk8))))),cons(skaf74(app(sk8,app(sk4,sk8))),skaf77(app(sk8,app(sk4,sk8))))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_409]) ).
tcf(c_44379,plain,
( equalelemsP(app(sk8,app(sk4,sk8)))
| ( app(skaf80(app(sk8,app(sk4,sk8))),cons(skaf78(app(sk8,app(sk4,sk8))),cons(skaf79(app(sk8,app(sk4,sk8))),skaf81(app(sk8,app(sk4,sk8)))))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_389]) ).
tcf(c_44380,plain,
( ( hd(cons(sk6,app(sk8,app(sk4,sk8)))) = sk6 )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_10017]) ).
tcf(c_44381,plain,
( ( app(sk8,app(sk4,sk8)) = nil )
| ( cons(skaf83(app(sk8,app(sk4,sk8))),skaf82(app(sk8,app(sk4,sk8)))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_356]) ).
tcf(c_44382,plain,
( ( app(sk8,app(sk4,sk8)) = nil )
| ( cons(hd(app(sk8,app(sk4,sk8))),tl(app(sk8,app(sk4,sk8)))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_351]) ).
tcf(c_44383,plain,
( ( hd(cons(sk5,app(sk8,app(sk4,sk8)))) = sk5 )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_10016]) ).
tcf(c_44384,plain,
( ( tl(cons(sk6,app(sk8,app(sk4,sk8)))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_9887]) ).
tcf(c_44385,plain,
( ( tl(cons(sk5,app(sk8,app(sk4,sk8)))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_9886]) ).
tcf(c_44386,plain,
( duplicatefreeP(app(sk8,app(sk4,sk8)))
| ~ iPr_def_11
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_6471]) ).
tcf(c_44387,plain,
( ( app(nil,app(sk8,app(sk4,sk8))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_321]) ).
tcf(c_44388,plain,
( ( app(app(sk8,app(sk4,sk8)),nil) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_320]) ).
tcf(c_44571,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43052,c_400]) ).
tcf(c_44572,plain,
( ( app(skaf46(app(sk8,app(sk4,sk4)),sk4),sk4) = app(sk8,app(sk4,sk4)) )
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43052,c_378]) ).
tcf(c_44573,plain,
( ( app(sk8,app(sk4,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43052,c_375]) ).
tcf(c_44574,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44571,c_6486]) ).
tcf(c_44580,plain,
( ( app(sk8,app(sk4,sk4)) = sk4 )
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44573,c_6486]) ).
tcf(c_44585,plain,
( ( app(skaf46(app(sk8,app(sk4,sk4)),sk4),sk4) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44572,c_6486]) ).
tcf(c_44646,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43783,c_400]) ).
tcf(c_44647,plain,
( ( app(skaf46(app(sk8,app(sk4,sk7)),sk7),sk7) = app(sk8,app(sk4,sk7)) )
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43783,c_378]) ).
tcf(c_44648,plain,
( ( app(sk8,app(sk4,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43783,c_375]) ).
tcf(c_44649,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44646,c_6483]) ).
tcf(c_44655,plain,
( ( app(sk8,app(sk4,sk7)) = sk7 )
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44648,c_6483]) ).
tcf(c_44660,plain,
( ( app(skaf46(app(sk8,app(sk4,sk7)),sk7),sk7) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44647,c_6483]) ).
tcf(c_44669,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_44209,c_400]) ).
tcf(c_44670,plain,
( ( app(skaf46(app(sk8,app(sk4,sk8)),sk8),sk8) = app(sk8,app(sk4,sk8)) )
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_44209,c_378]) ).
tcf(c_44671,plain,
( ( app(sk8,app(sk4,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ rearsegP(sk8,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_44209,c_375]) ).
tcf(c_44672,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44669,c_6482]) ).
tcf(c_44678,plain,
( ( app(sk8,app(sk4,sk8)) = sk8 )
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ rearsegP(sk8,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44671,c_6482]) ).
tcf(c_44683,plain,
( ( app(skaf46(app(sk8,app(sk4,sk8)),sk8),sk8) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44670,c_6482]) ).
tcf(c_44692,plain,
! [X0: $i] :
( frontsegP(X0,app(sk8,sk4))
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43055,c_401]) ).
tcf(c_44693,plain,
( ( app(app(sk8,sk4),skaf45(app(sk8,app(sk4,sk4)),app(sk8,sk4))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43055,c_379]) ).
tcf(c_44694,plain,
( ( app(sk8,app(sk4,sk4)) = app(sk8,sk4) )
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ frontsegP(app(sk8,sk4),app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43055,c_376]) ).
tcf(c_44708,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf72(X0)) = nil )
| ( cons(sk5,skaf72(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf72(X0)))
| ( skaf72(X0) != tl(X1) )
| ( hd(cons(sk5,skaf72(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10192,c_424]) ).
tcf(c_44711,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf72(X0)) = nil )
| ( cons(sk5,skaf72(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf72(X0)))
| ( hd(X1) != sk5 )
| ( skaf72(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_44708,c_10660]) ).
tcf(c_44719,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_12,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_12)
| ~ ssList(skaf46(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_43735,c_401]) ).
tcf(c_44720,plain,
( ( app(skaf46(iPr_def_12,iPr_def_12),skaf45(iPr_def_12,skaf46(iPr_def_12,iPr_def_12))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(skaf46(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_43735,c_379]) ).
tcf(c_44721,plain,
( ( skaf46(iPr_def_12,iPr_def_12) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(skaf46(iPr_def_12,iPr_def_12))
| ~ frontsegP(skaf46(iPr_def_12,iPr_def_12),iPr_def_12) ),
inference(superposition,[status(thm)],[c_43735,c_376]) ).
tcf(c_44722,plain,
( ( skaf46(iPr_def_12,iPr_def_12) = iPr_def_12 )
| ~ frontsegP(skaf46(iPr_def_12,iPr_def_12),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44721,c_9489,c_297]) ).
tcf(c_44725,plain,
app(skaf46(iPr_def_12,iPr_def_12),skaf45(iPr_def_12,skaf46(iPr_def_12,iPr_def_12))) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_44720,c_9489,c_297]) ).
tcf(c_44726,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_12,iPr_def_12))
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44719,c_9489,c_297]) ).
tcf(c_44732,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_14,iPr_def_14))
| ~ ssList(app(app(skaf46(iPr_def_14,iPr_def_14),iPr_def_14),X0)) ),
inference(superposition,[status(thm)],[c_12955,c_420]) ).
tcf(c_44733,plain,
! [X0: $i] :
( ( skaf46(iPr_def_14,iPr_def_14) = X0 )
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_14,iPr_def_14))
| ( app(X0,iPr_def_14) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12955,c_398]) ).
tcf(c_44738,plain,
( frontsegP(iPr_def_14,skaf46(iPr_def_14,iPr_def_14))
| ~ ssList(iPr_def_14)
| ~ ssList(skaf46(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_12955,c_808]) ).
tcf(c_44742,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_14,iPr_def_14))
| ( app(skaf46(iPr_def_14,iPr_def_14),X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12955,c_397]) ).
tcf(c_44743,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| ~ ssList(iPr_def_14)
| ~ ssItem(X0)
| ~ ssList(skaf46(iPr_def_14,iPr_def_14))
| ~ memberP(skaf46(iPr_def_14,iPr_def_14),X0) ),
inference(superposition,[status(thm)],[c_12955,c_387]) ).
tcf(c_44744,plain,
! [X0: $i] :
( frontsegP(iPr_def_14,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_14,iPr_def_14))
| ~ frontsegP(skaf46(iPr_def_14,iPr_def_14),X0) ),
inference(superposition,[status(thm)],[c_12955,c_384]) ).
tcf(c_44745,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_14,X1),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_14,X0)
| ~ ssList(skaf46(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_12955,c_419]) ).
tcf(c_44747,plain,
frontsegP(iPr_def_14,skaf46(iPr_def_14,iPr_def_14)),
inference(forward_subsumption_resolution,[status(thm)],[c_44738,c_9488,c_297]) ).
tcf(c_44748,plain,
! [X0: $i] :
( frontsegP(iPr_def_14,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(iPr_def_14,iPr_def_14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44744,c_9488,c_297]) ).
tcf(c_44752,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(iPr_def_14,iPr_def_14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44743,c_9488,c_297]) ).
tcf(c_44757,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(X0)
| ( app(skaf46(iPr_def_14,iPr_def_14),X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44742,c_9488,c_297]) ).
tcf(c_44761,plain,
! [X0: $i] :
( ( skaf46(iPr_def_14,iPr_def_14) = X0 )
| ~ ssList(X0)
| ( app(X0,iPr_def_14) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44733,c_9488,c_297]) ).
tcf(c_44765,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_14,iPr_def_14))
| ~ ssList(app(iPr_def_14,X0)) ),
inference(light_normalisation,[status(thm)],[c_44732,c_12955]) ).
tcf(c_44813,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_14,iPr_def_14))
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_14)
| ~ ssList(skaf46(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_44747,c_401]) ).
tcf(c_44814,plain,
( ( app(skaf46(iPr_def_14,iPr_def_14),skaf45(iPr_def_14,skaf46(iPr_def_14,iPr_def_14))) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(skaf46(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_44747,c_379]) ).
tcf(c_44815,plain,
( ( skaf46(iPr_def_14,iPr_def_14) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(skaf46(iPr_def_14,iPr_def_14))
| ~ frontsegP(skaf46(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(superposition,[status(thm)],[c_44747,c_376]) ).
tcf(c_44816,plain,
( ( skaf46(iPr_def_14,iPr_def_14) = iPr_def_14 )
| ~ frontsegP(skaf46(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44815,c_9488,c_297]) ).
tcf(c_44819,plain,
app(skaf46(iPr_def_14,iPr_def_14),skaf45(iPr_def_14,skaf46(iPr_def_14,iPr_def_14))) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_44814,c_9488,c_297]) ).
tcf(c_44820,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_14,iPr_def_14))
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44813,c_9488,c_297]) ).
tcf(c_44826,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),iPr_def_16)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_16,iPr_def_16))
| ~ ssList(app(app(skaf46(iPr_def_16,iPr_def_16),iPr_def_16),X0)) ),
inference(superposition,[status(thm)],[c_12956,c_420]) ).
tcf(c_44827,plain,
! [X0: $i] :
( ( skaf46(iPr_def_16,iPr_def_16) = X0 )
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_16,iPr_def_16))
| ( app(X0,iPr_def_16) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_12956,c_398]) ).
tcf(c_44832,plain,
( frontsegP(iPr_def_16,skaf46(iPr_def_16,iPr_def_16))
| ~ ssList(iPr_def_16)
| ~ ssList(skaf46(iPr_def_16,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_12956,c_808]) ).
tcf(c_44836,plain,
! [X0: $i] :
( ( X0 = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_16,iPr_def_16))
| ( app(skaf46(iPr_def_16,iPr_def_16),X0) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_12956,c_397]) ).
tcf(c_44837,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssList(iPr_def_16)
| ~ ssItem(X0)
| ~ ssList(skaf46(iPr_def_16,iPr_def_16))
| ~ memberP(skaf46(iPr_def_16,iPr_def_16),X0) ),
inference(superposition,[status(thm)],[c_12956,c_387]) ).
tcf(c_44838,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_16,iPr_def_16))
| ~ frontsegP(skaf46(iPr_def_16,iPr_def_16),X0) ),
inference(superposition,[status(thm)],[c_12956,c_384]) ).
tcf(c_44839,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(iPr_def_16)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_16,X0)
| ~ ssList(skaf46(iPr_def_16,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_12956,c_419]) ).
tcf(c_44840,plain,
frontsegP(iPr_def_16,skaf46(iPr_def_16,iPr_def_16)),
inference(forward_subsumption_resolution,[status(thm)],[c_44832,c_9020,c_297]) ).
tcf(c_44841,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(iPr_def_16,iPr_def_16),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44838,c_9020,c_297]) ).
tcf(c_44845,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(iPr_def_16,iPr_def_16),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44837,c_9020,c_297]) ).
tcf(c_44850,plain,
! [X0: $i] :
( ( X0 = iPr_def_16 )
| ~ ssList(X0)
| ( app(skaf46(iPr_def_16,iPr_def_16),X0) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44836,c_9020,c_297]) ).
tcf(c_44854,plain,
! [X0: $i] :
( ( skaf46(iPr_def_16,iPr_def_16) = X0 )
| ~ ssList(X0)
| ( app(X0,iPr_def_16) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44827,c_9020,c_297]) ).
tcf(c_44858,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),iPr_def_16)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_16,iPr_def_16))
| ~ ssList(app(iPr_def_16,X0)) ),
inference(light_normalisation,[status(thm)],[c_44826,c_12956]) ).
tcf(c_44892,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_16,iPr_def_16))
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16)
| ~ ssList(skaf46(iPr_def_16,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_44840,c_401]) ).
tcf(c_44893,plain,
( ( app(skaf46(iPr_def_16,iPr_def_16),skaf45(iPr_def_16,skaf46(iPr_def_16,iPr_def_16))) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf46(iPr_def_16,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_44840,c_379]) ).
tcf(c_44894,plain,
( ( skaf46(iPr_def_16,iPr_def_16) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf46(iPr_def_16,iPr_def_16))
| ~ frontsegP(skaf46(iPr_def_16,iPr_def_16),iPr_def_16) ),
inference(superposition,[status(thm)],[c_44840,c_376]) ).
tcf(c_44895,plain,
( ( skaf46(iPr_def_16,iPr_def_16) = iPr_def_16 )
| ~ frontsegP(skaf46(iPr_def_16,iPr_def_16),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44894,c_9020,c_297]) ).
tcf(c_44898,plain,
app(skaf46(iPr_def_16,iPr_def_16),skaf45(iPr_def_16,skaf46(iPr_def_16,iPr_def_16))) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_44893,c_9020,c_297]) ).
tcf(c_44899,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_16,iPr_def_16))
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44892,c_9020,c_297]) ).
tcf(c_44903,plain,
skaf46(nil,nil) = nil,
inference(demodulation,[status(thm)],[c_12960,c_9128]) ).
tcf(c_44912,plain,
skaf46(iPr_def_13,nil) = iPr_def_13,
inference(demodulation,[status(thm)],[c_12963,c_9128]) ).
tcf(c_44921,plain,
skaf46(iPr_def_12,nil) = iPr_def_12,
inference(demodulation,[status(thm)],[c_12964,c_9128]) ).
tcf(c_44934,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(X0,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43062,c_399]) ).
tcf(c_44935,plain,
( ( app(app(skaf47(app(sk8,app(sk4,sk4)),sk4),sk4),skaf48(sk4,app(sk8,app(sk4,sk4)))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(sk4)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43062,c_415]) ).
tcf(c_44936,plain,
( ( app(sk8,app(sk4,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43062,c_374]) ).
tcf(c_44937,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(X0,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44934,c_6486]) ).
tcf(c_44942,plain,
( ( app(sk8,app(sk4,sk4)) = sk4 )
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44936,c_6486]) ).
tcf(c_44946,plain,
( ( app(app(skaf47(app(sk8,app(sk4,sk4)),sk4),sk4),skaf48(sk4,app(sk8,app(sk4,sk4)))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44935,c_6486]) ).
tcf(c_45019,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(X0,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43065,c_399]) ).
tcf(c_45020,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk8,app(sk4,sk4)),X0),X0),skaf48(X0,app(sk8,app(sk4,sk4)))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43065,c_415]) ).
tcf(c_45021,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(X0,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43065,c_374]) ).
tcf(c_45022,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43065,c_27069]) ).
tcf(c_45023,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43065,c_28549]) ).
tcf(c_45024,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43065,c_27097]) ).
tcf(c_45025,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43065,c_27109]) ).
tcf(c_45026,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45025,c_24748]) ).
tcf(c_45030,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45024,c_9020]) ).
tcf(c_45034,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45023,c_9020]) ).
tcf(c_45038,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45022,c_9527]) ).
tcf(c_45063,plain,
! [X0: $i] :
( frontsegP(X0,app(sk8,sk4))
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43786,c_401]) ).
tcf(c_45064,plain,
( ( app(app(sk8,sk4),skaf45(app(sk8,app(sk4,sk7)),app(sk8,sk4))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43786,c_379]) ).
tcf(c_45065,plain,
( ( app(sk8,app(sk4,sk7)) = app(sk8,sk4) )
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ frontsegP(app(sk8,sk4),app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43786,c_376]) ).
tcf(c_45083,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(X0,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43807,c_399]) ).
tcf(c_45084,plain,
( ( app(app(skaf47(app(sk8,app(sk4,sk7)),sk4),sk4),skaf48(sk4,app(sk8,app(sk4,sk7)))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(sk4)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43807,c_415]) ).
tcf(c_45085,plain,
( ( app(sk8,app(sk4,sk7)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43807,c_374]) ).
tcf(c_45086,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(X0,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45083,c_6486]) ).
tcf(c_45091,plain,
( ( app(sk8,app(sk4,sk7)) = sk4 )
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45085,c_6486]) ).
tcf(c_45095,plain,
( ( app(app(skaf47(app(sk8,app(sk4,sk7)),sk4),sk4),skaf48(sk4,app(sk8,app(sk4,sk7)))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45084,c_6486]) ).
tcf(c_45105,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(X0,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43810,c_399]) ).
tcf(c_45106,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk8,app(sk4,sk7)),X0),X0),skaf48(X0,app(sk8,app(sk4,sk7)))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43810,c_415]) ).
tcf(c_45107,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(X0,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43810,c_374]) ).
tcf(c_45108,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43810,c_27069]) ).
tcf(c_45109,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43810,c_28549]) ).
tcf(c_45110,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43810,c_27097]) ).
tcf(c_45111,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43810,c_27109]) ).
tcf(c_45112,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45111,c_24748]) ).
tcf(c_45116,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45110,c_9020]) ).
tcf(c_45120,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45109,c_9020]) ).
tcf(c_45124,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45108,c_9527]) ).
tcf(c_45149,plain,
! [X0: $i] :
( frontsegP(X0,app(sk8,sk4))
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_44212,c_401]) ).
tcf(c_45150,plain,
( ( app(app(sk8,sk4),skaf45(app(sk8,app(sk4,sk8)),app(sk8,sk4))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_44212,c_379]) ).
tcf(c_45151,plain,
( ( app(sk8,app(sk4,sk8)) = app(sk8,sk4) )
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ frontsegP(app(sk8,sk4),app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_44212,c_376]) ).
tcf(c_45175,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(X0,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_44219,c_399]) ).
tcf(c_45176,plain,
( ( app(app(skaf47(app(sk8,app(sk4,sk8)),sk4),sk4),skaf48(sk4,app(sk8,app(sk4,sk8)))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(sk4)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_44219,c_415]) ).
tcf(c_45177,plain,
( ( app(sk8,app(sk4,sk8)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_44219,c_374]) ).
tcf(c_45178,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(X0,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45175,c_6486]) ).
tcf(c_45183,plain,
( ( app(sk8,app(sk4,sk8)) = sk4 )
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45177,c_6486]) ).
tcf(c_45187,plain,
( ( app(app(skaf47(app(sk8,app(sk4,sk8)),sk4),sk4),skaf48(sk4,app(sk8,app(sk4,sk8)))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45176,c_6486]) ).
tcf(c_45197,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(X0,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_44222,c_399]) ).
tcf(c_45198,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk8,app(sk4,sk8)),X0),X0),skaf48(X0,app(sk8,app(sk4,sk8)))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_44222,c_415]) ).
tcf(c_45199,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk8)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(X0,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_44222,c_374]) ).
tcf(c_45200,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_44222,c_27069]) ).
tcf(c_45201,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_44222,c_28549]) ).
tcf(c_45202,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_44222,c_27097]) ).
tcf(c_45203,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_44222,c_27109]) ).
tcf(c_45204,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk7)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45203,c_24748]) ).
tcf(c_45208,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk7)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45202,c_9020]) ).
tcf(c_45212,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk8)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45201,c_9020]) ).
tcf(c_45216,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk7)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45200,c_9527]) ).
tcf(c_45258,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf71(X0)) = nil )
| ( cons(sk5,skaf71(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf71(X0)))
| ( skaf71(X0) != tl(X1) )
| ( hd(cons(sk5,skaf71(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10193,c_424]) ).
tcf(c_45261,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf71(X0)) = nil )
| ( cons(sk5,skaf71(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf71(X0)))
| ( hd(X1) != sk5 )
| ( skaf71(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_45258,c_10661]) ).
tcf(c_45269,plain,
skaf46(iPr_def_14,nil) = iPr_def_14,
inference(demodulation,[status(thm)],[c_12965,c_9128]) ).
tcf(c_45278,plain,
skaf46(iPr_def_16,nil) = iPr_def_16,
inference(demodulation,[status(thm)],[c_12966,c_9128]) ).
tcf(c_45289,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_13,iPr_def_12))
| ~ ssList(app(app(skaf46(iPr_def_13,iPr_def_12),iPr_def_12),X0)) ),
inference(superposition,[status(thm)],[c_12974,c_420]) ).
tcf(c_45290,plain,
! [X0: $i] :
( ( skaf46(iPr_def_13,iPr_def_12) = X0 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_13,iPr_def_12))
| ( app(X0,iPr_def_12) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_12974,c_398]) ).
tcf(c_45292,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(skaf46(iPr_def_13,iPr_def_12),X0)
| ~ ssList(iPr_def_12)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(skaf46(iPr_def_13,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_12974,c_405]) ).
tcf(c_45295,plain,
( frontsegP(iPr_def_13,skaf46(iPr_def_13,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(skaf46(iPr_def_13,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_12974,c_808]) ).
tcf(c_45297,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(skaf46(iPr_def_13,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_12974,c_388]) ).
tcf(c_45298,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_12,X0)
| ~ ssList(skaf46(iPr_def_13,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_12974,c_383]) ).
tcf(c_45299,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_13,iPr_def_12))
| ( app(skaf46(iPr_def_13,iPr_def_12),X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_12974,c_397]) ).
tcf(c_45300,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssItem(X0)
| ~ ssList(skaf46(iPr_def_13,iPr_def_12))
| ~ memberP(skaf46(iPr_def_13,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_12974,c_387]) ).
tcf(c_45301,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_13,iPr_def_12))
| ~ frontsegP(skaf46(iPr_def_13,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_12974,c_384]) ).
tcf(c_45302,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0)
| ~ ssList(skaf46(iPr_def_13,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_12974,c_419]) ).
tcf(c_45303,plain,
( ( skaf46(iPr_def_13,iPr_def_12) = sk7 )
| ~ ssList(skaf46(iPr_def_13,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_12974,c_17658]) ).
tcf(c_45305,plain,
skaf46(iPr_def_13,iPr_def_12) = sk7,
inference(forward_subsumption_resolution,[status(thm)],[c_45303,c_297]) ).
tcf(c_45306,plain,
frontsegP(iPr_def_13,skaf46(iPr_def_13,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_45295,c_9489,c_297]) ).
tcf(c_45309,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(iPr_def_13,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45301,c_9489,c_297]) ).
tcf(c_45313,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(iPr_def_13,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45300,c_9489,c_297]) ).
tcf(c_45318,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(skaf46(iPr_def_13,iPr_def_12),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45292,c_9489,c_297]) ).
tcf(c_45323,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(skaf46(iPr_def_13,iPr_def_12),X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45299,c_9489,c_297]) ).
tcf(c_45327,plain,
! [X0: $i] :
( ( skaf46(iPr_def_13,iPr_def_12) = X0 )
| ~ ssList(X0)
| ( app(X0,iPr_def_12) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45290,c_9489,c_297]) ).
tcf(c_45331,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_13,iPr_def_12))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_45289,c_12974]) ).
tcf(c_45355,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),skaf45(iPr_def_13,iPr_def_13))
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_13,iPr_def_13))
| ~ ssList(app(app(iPr_def_13,skaf45(iPr_def_13,iPr_def_13)),X0)) ),
inference(superposition,[status(thm)],[c_13143,c_420]) ).
tcf(c_45356,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_13,iPr_def_13))
| ( app(X0,skaf45(iPr_def_13,iPr_def_13)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_13143,c_398]) ).
tcf(c_45362,plain,
( rearsegP(iPr_def_13,skaf45(iPr_def_13,iPr_def_13))
| ~ ssList(iPr_def_13)
| ~ ssList(skaf45(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_13143,c_807]) ).
tcf(c_45363,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssItem(X0)
| ~ ssList(skaf45(iPr_def_13,iPr_def_13))
| ~ memberP(skaf45(iPr_def_13,iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_13143,c_388]) ).
tcf(c_45364,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_13,iPr_def_13))
| ~ rearsegP(skaf45(iPr_def_13,iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_13143,c_383]) ).
tcf(c_45365,plain,
! [X0: $i] :
( ( skaf45(iPr_def_13,iPr_def_13) = X0 )
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_13,iPr_def_13))
| ( app(iPr_def_13,X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_13143,c_397]) ).
tcf(c_45368,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_13,iPr_def_13))
| ~ segmentP(skaf45(iPr_def_13,iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_13143,c_419]) ).
tcf(c_45371,plain,
rearsegP(iPr_def_13,skaf45(iPr_def_13,iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_45362,c_9527,c_298]) ).
tcf(c_45372,plain,
! [X0: $i] :
( rearsegP(iPr_def_13,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(iPr_def_13,iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45364,c_9527,c_298]) ).
tcf(c_45376,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(iPr_def_13,iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45363,c_9527,c_298]) ).
tcf(c_45380,plain,
! [X0: $i] :
( ( skaf45(iPr_def_13,iPr_def_13) = X0 )
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45365,c_9527,c_298]) ).
tcf(c_45384,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(X0)
| ( app(X0,skaf45(iPr_def_13,iPr_def_13)) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45356,c_9527,c_298]) ).
tcf(c_45388,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_13,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(iPr_def_13,iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45368,c_9527,c_298]) ).
tcf(c_45393,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),skaf45(iPr_def_13,iPr_def_13))
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_13,iPr_def_13))
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_45355,c_13143]) ).
tcf(c_45394,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),skaf45(iPr_def_13,iPr_def_13))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45393,c_9527,c_298]) ).
tcf(c_45424,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_13,iPr_def_13))
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_13)
| ~ ssList(skaf45(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_45371,c_400]) ).
tcf(c_45425,plain,
( ( app(skaf46(iPr_def_13,skaf45(iPr_def_13,iPr_def_13)),skaf45(iPr_def_13,iPr_def_13)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(skaf45(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_45371,c_378]) ).
tcf(c_45426,plain,
( ( skaf45(iPr_def_13,iPr_def_13) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(skaf45(iPr_def_13,iPr_def_13))
| ~ rearsegP(skaf45(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_45371,c_375]) ).
tcf(c_45427,plain,
( ( skaf45(iPr_def_13,iPr_def_13) = iPr_def_13 )
| ~ rearsegP(skaf45(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45426,c_9527,c_298]) ).
tcf(c_45430,plain,
app(skaf46(iPr_def_13,skaf45(iPr_def_13,iPr_def_13)),skaf45(iPr_def_13,iPr_def_13)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_45425,c_9527,c_298]) ).
tcf(c_45431,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_13,iPr_def_13))
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45424,c_9527,c_298]) ).
tcf(c_45437,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),skaf45(iPr_def_12,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_12,iPr_def_12))
| ~ ssList(app(app(iPr_def_12,skaf45(iPr_def_12,iPr_def_12)),X0)) ),
inference(superposition,[status(thm)],[c_13144,c_420]) ).
tcf(c_45438,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_12,iPr_def_12))
| ( app(X0,skaf45(iPr_def_12,iPr_def_12)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_13144,c_398]) ).
tcf(c_45444,plain,
( rearsegP(iPr_def_12,skaf45(iPr_def_12,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(skaf45(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_13144,c_807]) ).
tcf(c_45445,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssItem(X0)
| ~ ssList(skaf45(iPr_def_12,iPr_def_12))
| ~ memberP(skaf45(iPr_def_12,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_13144,c_388]) ).
tcf(c_45446,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_12,iPr_def_12))
| ~ rearsegP(skaf45(iPr_def_12,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_13144,c_383]) ).
tcf(c_45447,plain,
! [X0: $i] :
( ( skaf45(iPr_def_12,iPr_def_12) = X0 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_12,iPr_def_12))
| ( app(iPr_def_12,X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_13144,c_397]) ).
tcf(c_45450,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_12,iPr_def_12))
| ~ segmentP(skaf45(iPr_def_12,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_13144,c_419]) ).
tcf(c_45451,plain,
rearsegP(iPr_def_12,skaf45(iPr_def_12,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_45444,c_9489,c_298]) ).
tcf(c_45452,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(iPr_def_12,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45446,c_9489,c_298]) ).
tcf(c_45456,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(iPr_def_12,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45445,c_9489,c_298]) ).
tcf(c_45460,plain,
! [X0: $i] :
( ( skaf45(iPr_def_12,iPr_def_12) = X0 )
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45447,c_9489,c_298]) ).
tcf(c_45464,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(X0,skaf45(iPr_def_12,iPr_def_12)) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45438,c_9489,c_298]) ).
tcf(c_45468,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(iPr_def_12,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45450,c_9489,c_298]) ).
tcf(c_45473,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),skaf45(iPr_def_12,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_12,iPr_def_12))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(light_normalisation,[status(thm)],[c_45437,c_13144]) ).
tcf(c_45474,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),skaf45(iPr_def_12,iPr_def_12))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45473,c_9489,c_298]) ).
tcf(c_45538,plain,
! [X0: $i] :
( ( app(app(sk4,sk7),X0) = app(sk4,app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6486,c_16216]) ).
tcf(c_45539,plain,
! [X0: $i] :
( ( app(app(sk7,sk7),X0) = app(sk7,app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6483,c_16216]) ).
tcf(c_45540,plain,
! [X0: $i] :
( ( app(app(sk8,sk7),X0) = app(sk8,app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6482,c_16216]) ).
tcf(c_45541,plain,
! [X0: $i] :
( ( app(app(nil,sk7),X0) = app(nil,app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_255,c_16216]) ).
tcf(c_45542,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf82(X1),sk7),X0) = app(skaf82(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_260,c_16216]) ).
tcf(c_45543,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf81(X1),sk7),X0) = app(skaf81(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_261,c_16216]) ).
tcf(c_45544,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf80(X1),sk7),X0) = app(skaf80(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_262,c_16216]) ).
tcf(c_45545,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf77(X1),sk7),X0) = app(skaf77(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_265,c_16216]) ).
tcf(c_45546,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf76(X1),sk7),X0) = app(skaf76(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_266,c_16216]) ).
tcf(c_45547,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf75(X1),sk7),X0) = app(skaf75(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_267,c_16216]) ).
tcf(c_45548,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf73(X1),sk7),X0) = app(skaf73(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_269,c_16216]) ).
tcf(c_45549,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf72(X1),sk7),X0) = app(skaf72(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_270,c_16216]) ).
tcf(c_45550,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf71(X1),sk7),X0) = app(skaf71(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_271,c_16216]) ).
tcf(c_45551,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf68(X1),sk7),X0) = app(skaf68(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_274,c_16216]) ).
tcf(c_45552,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf67(X1),sk7),X0) = app(skaf67(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_275,c_16216]) ).
tcf(c_45553,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf66(X1),sk7),X0) = app(skaf66(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_276,c_16216]) ).
tcf(c_45554,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf63(X1),sk7),X0) = app(skaf63(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_279,c_16216]) ).
tcf(c_45555,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf62(X1),sk7),X0) = app(skaf62(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_280,c_16216]) ).
tcf(c_45556,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf61(X1),sk7),X0) = app(skaf61(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_281,c_16216]) ).
tcf(c_45557,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf58(X1),sk7),X0) = app(skaf58(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_284,c_16216]) ).
tcf(c_45558,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf57(X1),sk7),X0) = app(skaf57(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_285,c_16216]) ).
tcf(c_45559,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf56(X1),sk7),X0) = app(skaf56(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_286,c_16216]) ).
tcf(c_45560,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf53(X1),sk7),X0) = app(skaf53(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_289,c_16216]) ).
tcf(c_45561,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf52(X1),sk7),X0) = app(skaf52(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_290,c_16216]) ).
tcf(c_45562,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf51(X1),sk7),X0) = app(skaf51(X1),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_291,c_16216]) ).
tcf(c_45563,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf48(X1,X2),sk7),X0) = app(skaf48(X1,X2),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_295,c_16216]) ).
tcf(c_45564,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf47(X1,X2),sk7),X0) = app(skaf47(X1,X2),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_296,c_16216]) ).
tcf(c_45565,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf46(X1,X2),sk7),X0) = app(skaf46(X1,X2),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_297,c_16216]) ).
tcf(c_45566,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf45(X1,X2),sk7),X0) = app(skaf45(X1,X2),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_298,c_16216]) ).
tcf(c_45567,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf43(X1,X2),sk7),X0) = app(skaf43(X1,X2),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_299,c_16216]) ).
tcf(c_45568,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf42(X1,X2),sk7),X0) = app(skaf42(X1,X2),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_300,c_16216]) ).
tcf(c_45569,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(app(tl(X0),sk7),X1) = app(tl(X0),app(sk7,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_16216]) ).
tcf(c_45570,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(app(X1,X0),sk7),X2) = app(app(X1,X0),app(sk7,X2)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_16216]) ).
tcf(c_45571,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(cons(X2,X0),sk7),X1) = app(cons(X2,X0),app(sk7,X1)) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_16216]) ).
tcf(c_45572,plain,
! [X0: $i] :
( ( app(app(iPr_def_16,sk7),X0) = app(iPr_def_16,app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9020,c_16216]) ).
tcf(c_45573,plain,
! [X0: $i] :
( ( app(app(iPr_def_13,sk7),X0) = app(iPr_def_13,app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9527,c_16216]) ).
tcf(c_45574,plain,
! [X0: $i] :
( ( app(app(iPr_def_12,sk7),X0) = app(iPr_def_12,app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9489,c_16216]) ).
tcf(c_45575,plain,
! [X0: $i] :
( ( app(app(iPr_def_15,sk7),X0) = app(iPr_def_15,app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_24748,c_16216]) ).
tcf(c_45576,plain,
! [X0: $i] :
( ( app(app(iPr_def_14,sk7),X0) = app(iPr_def_14,app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9488,c_16216]) ).
tcf(c_45577,plain,
! [X0: $i] :
( ( app(app(cons(sk6,sk4),sk7),X0) = app(cons(sk6,sk4),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28942,c_16216]) ).
tcf(c_45578,plain,
! [X0: $i] :
( ( app(app(cons(sk6,sk7),sk7),X0) = app(cons(sk6,sk7),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28940,c_16216]) ).
tcf(c_45579,plain,
! [X0: $i] :
( ( app(app(cons(sk6,sk8),sk7),X0) = app(cons(sk6,sk8),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28938,c_16216]) ).
tcf(c_45580,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk4)),sk7),X0) = app(app(sk4,app(sk4,sk4)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_16216]) ).
tcf(c_45581,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk7)),sk7),X0) = app(app(sk4,app(sk4,sk7)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_16216]) ).
tcf(c_45582,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk8)),sk7),X0) = app(app(sk4,app(sk4,sk8)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_16216]) ).
tcf(c_45583,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk4)),sk7),X0) = app(app(sk7,app(sk4,sk4)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_16216]) ).
tcf(c_45584,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk7)),sk7),X0) = app(app(sk7,app(sk4,sk7)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_16216]) ).
tcf(c_45585,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk8)),sk7),X0) = app(app(sk7,app(sk4,sk8)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_16216]) ).
tcf(c_45586,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk4)),sk7),X0) = app(app(sk8,app(sk4,sk4)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_16216]) ).
tcf(c_45587,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk7)),sk7),X0) = app(app(sk8,app(sk4,sk7)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_16216]) ).
tcf(c_45588,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk8)),sk7),X0) = app(app(sk8,app(sk4,sk8)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_16216]) ).
tcf(c_45589,plain,
! [X0: $i] :
( ( app(cons(sk6,sk7),X0) = app(iPr_def_14,app(sk7,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_45576,c_28959]) ).
tcf(c_45600,plain,
! [X0: $i] :
( ( app(nil,app(sk7,X0)) = app(sk7,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_45541,c_9197]) ).
tcf(c_45960,plain,
app(app(sk4,sk7),sk4) = app(sk4,app(sk7,sk4)),
inference(superposition,[status(thm)],[c_6486,c_45538]) ).
tcf(c_45961,plain,
app(app(sk4,sk7),sk7) = app(sk4,app(sk7,sk7)),
inference(superposition,[status(thm)],[c_6483,c_45538]) ).
tcf(c_45962,plain,
app(app(sk4,sk7),sk8) = app(sk4,app(sk7,sk8)),
inference(superposition,[status(thm)],[c_6482,c_45538]) ).
tcf(c_45963,plain,
app(app(sk4,sk7),nil) = app(sk4,app(sk7,nil)),
inference(superposition,[status(thm)],[c_255,c_45538]) ).
tcf(c_45964,plain,
! [X0: $i] : app(app(sk4,sk7),skaf82(X0)) = app(sk4,app(sk7,skaf82(X0))),
inference(superposition,[status(thm)],[c_260,c_45538]) ).
tcf(c_45965,plain,
! [X0: $i] : app(app(sk4,sk7),skaf81(X0)) = app(sk4,app(sk7,skaf81(X0))),
inference(superposition,[status(thm)],[c_261,c_45538]) ).
tcf(c_45966,plain,
! [X0: $i] : app(app(sk4,sk7),skaf80(X0)) = app(sk4,app(sk7,skaf80(X0))),
inference(superposition,[status(thm)],[c_262,c_45538]) ).
tcf(c_45967,plain,
! [X0: $i] : app(app(sk4,sk7),skaf77(X0)) = app(sk4,app(sk7,skaf77(X0))),
inference(superposition,[status(thm)],[c_265,c_45538]) ).
tcf(c_45968,plain,
! [X0: $i] : app(app(sk4,sk7),skaf76(X0)) = app(sk4,app(sk7,skaf76(X0))),
inference(superposition,[status(thm)],[c_266,c_45538]) ).
tcf(c_45969,plain,
! [X0: $i] : app(app(sk4,sk7),skaf75(X0)) = app(sk4,app(sk7,skaf75(X0))),
inference(superposition,[status(thm)],[c_267,c_45538]) ).
tcf(c_45970,plain,
! [X0: $i] : app(app(sk4,sk7),skaf73(X0)) = app(sk4,app(sk7,skaf73(X0))),
inference(superposition,[status(thm)],[c_269,c_45538]) ).
tcf(c_45971,plain,
! [X0: $i] : app(app(sk4,sk7),skaf72(X0)) = app(sk4,app(sk7,skaf72(X0))),
inference(superposition,[status(thm)],[c_270,c_45538]) ).
tcf(c_45972,plain,
! [X0: $i] : app(app(sk4,sk7),skaf71(X0)) = app(sk4,app(sk7,skaf71(X0))),
inference(superposition,[status(thm)],[c_271,c_45538]) ).
tcf(c_45973,plain,
! [X0: $i] : app(app(sk4,sk7),skaf68(X0)) = app(sk4,app(sk7,skaf68(X0))),
inference(superposition,[status(thm)],[c_274,c_45538]) ).
tcf(c_45974,plain,
! [X0: $i] : app(app(sk4,sk7),skaf67(X0)) = app(sk4,app(sk7,skaf67(X0))),
inference(superposition,[status(thm)],[c_275,c_45538]) ).
tcf(c_45975,plain,
! [X0: $i] : app(app(sk4,sk7),skaf66(X0)) = app(sk4,app(sk7,skaf66(X0))),
inference(superposition,[status(thm)],[c_276,c_45538]) ).
tcf(c_45976,plain,
! [X0: $i] : app(app(sk4,sk7),skaf63(X0)) = app(sk4,app(sk7,skaf63(X0))),
inference(superposition,[status(thm)],[c_279,c_45538]) ).
tcf(c_45977,plain,
! [X0: $i] : app(app(sk4,sk7),skaf62(X0)) = app(sk4,app(sk7,skaf62(X0))),
inference(superposition,[status(thm)],[c_280,c_45538]) ).
tcf(c_45978,plain,
! [X0: $i] : app(app(sk4,sk7),skaf61(X0)) = app(sk4,app(sk7,skaf61(X0))),
inference(superposition,[status(thm)],[c_281,c_45538]) ).
tcf(c_45979,plain,
! [X0: $i] : app(app(sk4,sk7),skaf58(X0)) = app(sk4,app(sk7,skaf58(X0))),
inference(superposition,[status(thm)],[c_284,c_45538]) ).
tcf(c_45980,plain,
! [X0: $i] : app(app(sk4,sk7),skaf57(X0)) = app(sk4,app(sk7,skaf57(X0))),
inference(superposition,[status(thm)],[c_285,c_45538]) ).
tcf(c_45981,plain,
! [X0: $i] : app(app(sk4,sk7),skaf56(X0)) = app(sk4,app(sk7,skaf56(X0))),
inference(superposition,[status(thm)],[c_286,c_45538]) ).
tcf(c_45982,plain,
! [X0: $i] : app(app(sk4,sk7),skaf53(X0)) = app(sk4,app(sk7,skaf53(X0))),
inference(superposition,[status(thm)],[c_289,c_45538]) ).
tcf(c_45983,plain,
! [X0: $i] : app(app(sk4,sk7),skaf52(X0)) = app(sk4,app(sk7,skaf52(X0))),
inference(superposition,[status(thm)],[c_290,c_45538]) ).
tcf(c_45984,plain,
! [X0: $i] : app(app(sk4,sk7),skaf51(X0)) = app(sk4,app(sk7,skaf51(X0))),
inference(superposition,[status(thm)],[c_291,c_45538]) ).
tcf(c_45985,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk7),skaf48(X0,X1)) = app(sk4,app(sk7,skaf48(X0,X1))),
inference(superposition,[status(thm)],[c_295,c_45538]) ).
tcf(c_45986,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk7),skaf47(X0,X1)) = app(sk4,app(sk7,skaf47(X0,X1))),
inference(superposition,[status(thm)],[c_296,c_45538]) ).
tcf(c_45987,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk7),skaf46(X0,X1)) = app(sk4,app(sk7,skaf46(X0,X1))),
inference(superposition,[status(thm)],[c_297,c_45538]) ).
tcf(c_45988,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk7),skaf45(X0,X1)) = app(sk4,app(sk7,skaf45(X0,X1))),
inference(superposition,[status(thm)],[c_298,c_45538]) ).
tcf(c_45989,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk7),skaf43(X0,X1)) = app(sk4,app(sk7,skaf43(X0,X1))),
inference(superposition,[status(thm)],[c_299,c_45538]) ).
tcf(c_45990,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk7),skaf42(X0,X1)) = app(sk4,app(sk7,skaf42(X0,X1))),
inference(superposition,[status(thm)],[c_300,c_45538]) ).
tcf(c_45991,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sk4,sk7),tl(X0)) = app(sk4,app(sk7,tl(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_45538]) ).
tcf(c_45992,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk4,sk7),app(X1,X0)) = app(sk4,app(sk7,app(X1,X0))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_45538]) ).
tcf(c_45993,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk4,sk7),cons(X1,X0)) = app(sk4,app(sk7,cons(X1,X0))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_45538]) ).
tcf(c_45994,plain,
app(app(sk4,sk7),iPr_def_16) = app(sk4,app(sk7,iPr_def_16)),
inference(superposition,[status(thm)],[c_9020,c_45538]) ).
tcf(c_45995,plain,
app(app(sk4,sk7),iPr_def_13) = app(sk4,app(sk7,iPr_def_13)),
inference(superposition,[status(thm)],[c_9527,c_45538]) ).
tcf(c_45996,plain,
app(app(sk4,sk7),iPr_def_12) = app(sk4,app(sk7,iPr_def_12)),
inference(superposition,[status(thm)],[c_9489,c_45538]) ).
tcf(c_45997,plain,
app(app(sk4,sk7),iPr_def_15) = app(sk4,app(sk7,iPr_def_15)),
inference(superposition,[status(thm)],[c_24748,c_45538]) ).
tcf(c_45998,plain,
app(app(sk4,sk7),iPr_def_14) = app(sk4,app(sk7,iPr_def_14)),
inference(superposition,[status(thm)],[c_9488,c_45538]) ).
tcf(c_45999,plain,
app(app(sk4,sk7),cons(sk6,sk4)) = app(sk4,app(sk7,cons(sk6,sk4))),
inference(superposition,[status(thm)],[c_28942,c_45538]) ).
tcf(c_46000,plain,
app(app(sk4,sk7),cons(sk6,sk7)) = app(sk4,app(sk7,cons(sk6,sk7))),
inference(superposition,[status(thm)],[c_28940,c_45538]) ).
tcf(c_46001,plain,
app(app(sk4,sk7),cons(sk6,sk8)) = app(sk4,app(sk7,cons(sk6,sk8))),
inference(superposition,[status(thm)],[c_28938,c_45538]) ).
tcf(c_46002,plain,
( ( app(app(sk4,sk7),app(sk4,app(sk4,sk4))) = app(sk4,app(sk7,app(sk4,app(sk4,sk4)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_45538]) ).
tcf(c_46003,plain,
( ( app(app(sk4,sk7),app(sk4,app(sk4,sk7))) = app(sk4,app(sk7,app(sk4,app(sk4,sk7)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_45538]) ).
tcf(c_46004,plain,
( ( app(app(sk4,sk7),app(sk4,app(sk4,sk8))) = app(sk4,app(sk7,app(sk4,app(sk4,sk8)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_45538]) ).
tcf(c_46005,plain,
( ( app(app(sk4,sk7),app(sk7,app(sk4,sk4))) = app(sk4,app(sk7,app(sk7,app(sk4,sk4)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_45538]) ).
tcf(c_46006,plain,
( ( app(app(sk4,sk7),app(sk7,app(sk4,sk7))) = app(sk4,app(sk7,app(sk7,app(sk4,sk7)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_45538]) ).
tcf(c_46007,plain,
( ( app(app(sk4,sk7),app(sk7,app(sk4,sk8))) = app(sk4,app(sk7,app(sk7,app(sk4,sk8)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_45538]) ).
tcf(c_46008,plain,
( ( app(app(sk4,sk7),app(sk8,app(sk4,sk4))) = app(sk4,app(sk7,app(sk8,app(sk4,sk4)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_45538]) ).
tcf(c_46009,plain,
( ( app(app(sk4,sk7),app(sk8,app(sk4,sk7))) = app(sk4,app(sk7,app(sk8,app(sk4,sk7)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_45538]) ).
tcf(c_46010,plain,
( ( app(app(sk4,sk7),app(sk8,app(sk4,sk8))) = app(sk4,app(sk7,app(sk8,app(sk4,sk8)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_45538]) ).
tcf(c_46011,plain,
app(app(sk4,sk7),iPr_def_12) = app(sk4,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_45996,c_29639]) ).
tcf(c_46012,plain,
app(app(sk4,sk7),nil) = app(sk4,sk7),
inference(light_normalisation,[status(thm)],[c_45963,c_9102]) ).
tcf(c_46235,plain,
( ssList(app(sk4,app(sk7,sk4)))
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45960,c_332]) ).
tcf(c_46236,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk7,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(app(app(sk4,sk7),sk4),X0)) ),
inference(superposition,[status(thm)],[c_45960,c_420]) ).
tcf(c_46237,plain,
! [X0: $i] :
( ( app(sk4,sk7) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_45960,c_398]) ).
tcf(c_46239,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk4,sk7),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk7))
| ~ memberP(app(sk4,app(sk7,sk4)),X0) ),
inference(superposition,[status(thm)],[c_45960,c_405]) ).
tcf(c_46240,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_45960,c_366]) ).
tcf(c_46241,plain,
( ( app(sk4,sk7) = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_45960,c_365]) ).
tcf(c_46242,plain,
( frontsegP(app(sk4,app(sk7,sk4)),app(sk4,sk7))
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45960,c_808]) ).
tcf(c_46243,plain,
( rearsegP(app(sk4,app(sk7,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45960,c_807]) ).
tcf(c_46244,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45960,c_388]) ).
tcf(c_46245,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45960,c_383]) ).
tcf(c_46246,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ( app(app(sk4,sk7),X0) != app(sk4,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_45960,c_397]) ).
tcf(c_46247,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk7))
| ~ memberP(app(sk4,sk7),X0) ),
inference(superposition,[status(thm)],[c_45960,c_387]) ).
tcf(c_46248,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(app(sk4,sk7),X0) ),
inference(superposition,[status(thm)],[c_45960,c_384]) ).
tcf(c_46249,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk7,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45960,c_419]) ).
tcf(c_46250,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk7,sk4)),X0)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(superposition,[status(thm)],[c_45960,c_419]) ).
tcf(c_46251,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk7)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(app(sk4,sk7),sk4)) ),
inference(superposition,[status(thm)],[c_45960,c_420]) ).
tcf(c_46252,plain,
( ( app(sk4,sk7) = nil )
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_45960,c_17629]) ).
tcf(c_46253,plain,
( ssList(app(sk4,app(sk7,sk4)))
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46235,c_6486]) ).
tcf(c_46256,plain,
( rearsegP(app(sk4,app(sk7,sk4)),sk4)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46243,c_6486]) ).
tcf(c_46259,plain,
( frontsegP(app(sk4,app(sk7,sk4)),app(sk4,sk7))
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46242,c_6486]) ).
tcf(c_46265,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk7)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk7,sk4))) ),
inference(light_normalisation,[status(thm)],[c_46251,c_45960]) ).
tcf(c_46266,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk7)
| ~ ssList(app(sk4,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46265,c_6483,c_6486]) ).
tcf(c_46269,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk7,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46250,c_6483,c_6486]) ).
tcf(c_46273,plain,
( ( sk4 = nil )
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46240,c_6486]) ).
tcf(c_46277,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk7,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46245,c_6486]) ).
tcf(c_46282,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk7,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46244,c_6486]) ).
tcf(c_46287,plain,
( ( app(sk4,sk7) = nil )
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46241,c_6486]) ).
tcf(c_46291,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk7,sk4)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(app(sk4,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46248,c_6486]) ).
tcf(c_46296,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk7,sk4)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk7))
| ~ memberP(app(sk4,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46247,c_6486]) ).
tcf(c_46301,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk7,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46249,c_6486]) ).
tcf(c_46307,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk4,sk7),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk7))
| ~ memberP(app(sk4,app(sk7,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46239,c_6486]) ).
tcf(c_46313,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ( app(app(sk4,sk7),X0) != app(sk4,app(sk7,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46246,c_6486]) ).
tcf(c_46318,plain,
! [X0: $i] :
( ( app(sk4,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46237,c_6486]) ).
tcf(c_46323,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk7,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(app(sk4,app(sk7,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_46236,c_45960]) ).
tcf(c_46324,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk7,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(app(sk4,app(sk7,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46323,c_6486]) ).
tcf(c_46363,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk7,sk4)),sk7),X0) = app(app(sk4,app(sk7,sk4)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_16216]) ).
tcf(c_46364,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk7,sk4)),sk4),X0) = app(app(sk4,app(sk7,sk4)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_16215]) ).
tcf(c_46365,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk4,app(sk7,sk4)))) = app(cons(X1,X0),app(sk4,app(sk7,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_404]) ).
tcf(c_46366,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk4,app(sk7,sk4))),X0) = app(X1,app(app(sk4,app(sk7,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_396]) ).
tcf(c_46367,plain,
! [X0: $i] :
( ( app(sk4,app(sk7,sk4)) = nil )
| ( app(tl(app(sk4,app(sk7,sk4))),X0) = tl(app(app(sk4,app(sk7,sk4)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_380]) ).
tcf(c_46368,plain,
! [X0: $i] :
( ( app(sk4,app(sk7,sk4)) = nil )
| ( hd(app(app(sk4,app(sk7,sk4)),X0)) = hd(app(sk4,app(sk7,sk4))) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_370]) ).
tcf(c_46369,plain,
( ( app(app(sk4,sk7),app(sk4,app(sk7,sk4))) = app(sk4,app(sk7,app(sk4,app(sk7,sk4)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_45538]) ).
tcf(c_46370,plain,
( ( app(app(sk8,sk4),app(sk4,app(sk7,sk4))) = app(sk8,app(sk4,app(sk4,app(sk7,sk4)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_37633]) ).
tcf(c_46371,plain,
( ( app(app(sk7,sk4),app(sk4,app(sk7,sk4))) = app(sk7,app(sk4,app(sk4,app(sk7,sk4)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_37632]) ).
tcf(c_46372,plain,
( ( app(app(sk4,sk4),app(sk4,app(sk7,sk4))) = app(sk4,app(sk4,app(sk4,app(sk7,sk4)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_37631]) ).
tcf(c_46373,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk4,app(sk7,sk4))) = tl(app(sk8,app(sk4,app(sk7,sk4)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_14611]) ).
tcf(c_46374,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk4,app(sk7,sk4))) = tl(app(sk7,app(sk4,app(sk7,sk4)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_14610]) ).
tcf(c_46375,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk4,app(sk7,sk4))) = tl(app(sk4,app(sk4,app(sk7,sk4)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_14609]) ).
tcf(c_46376,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk4,app(sk7,sk4)))) = hd(sk8) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_11903]) ).
tcf(c_46377,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk4,app(sk7,sk4)))) = hd(sk7) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_11902]) ).
tcf(c_46378,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk4,app(sk7,sk4)))) = hd(sk4) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_11901]) ).
tcf(c_46379,plain,
( cyclefreeP(app(sk4,app(sk7,sk4)))
| ( app(app(skaf51(app(sk4,app(sk7,sk4))),cons(skaf49(app(sk4,app(sk7,sk4))),skaf52(app(sk4,app(sk7,sk4))))),cons(skaf50(app(sk4,app(sk7,sk4))),skaf53(app(sk4,app(sk7,sk4))))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_414]) ).
tcf(c_46380,plain,
( totalorderP(app(sk4,app(sk7,sk4)))
| ( app(app(skaf56(app(sk4,app(sk7,sk4))),cons(skaf54(app(sk4,app(sk7,sk4))),skaf57(app(sk4,app(sk7,sk4))))),cons(skaf55(app(sk4,app(sk7,sk4))),skaf58(app(sk4,app(sk7,sk4))))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_413]) ).
tcf(c_46381,plain,
( strictorderP(app(sk4,app(sk7,sk4)))
| ( app(app(skaf61(app(sk4,app(sk7,sk4))),cons(skaf59(app(sk4,app(sk7,sk4))),skaf62(app(sk4,app(sk7,sk4))))),cons(skaf60(app(sk4,app(sk7,sk4))),skaf63(app(sk4,app(sk7,sk4))))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_412]) ).
tcf(c_46382,plain,
( totalorderedP(app(sk4,app(sk7,sk4)))
| ( app(app(skaf66(app(sk4,app(sk7,sk4))),cons(skaf64(app(sk4,app(sk7,sk4))),skaf67(app(sk4,app(sk7,sk4))))),cons(skaf65(app(sk4,app(sk7,sk4))),skaf68(app(sk4,app(sk7,sk4))))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_411]) ).
tcf(c_46383,plain,
( strictorderedP(app(sk4,app(sk7,sk4)))
| ( app(app(skaf71(app(sk4,app(sk7,sk4))),cons(skaf69(app(sk4,app(sk7,sk4))),skaf72(app(sk4,app(sk7,sk4))))),cons(skaf70(app(sk4,app(sk7,sk4))),skaf73(app(sk4,app(sk7,sk4))))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_410]) ).
tcf(c_46384,plain,
( duplicatefreeP(app(sk4,app(sk7,sk4)))
| ( app(app(skaf75(app(sk4,app(sk7,sk4))),cons(skaf74(app(sk4,app(sk7,sk4))),skaf76(app(sk4,app(sk7,sk4))))),cons(skaf74(app(sk4,app(sk7,sk4))),skaf77(app(sk4,app(sk7,sk4))))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_409]) ).
tcf(c_46385,plain,
( equalelemsP(app(sk4,app(sk7,sk4)))
| ( app(skaf80(app(sk4,app(sk7,sk4))),cons(skaf78(app(sk4,app(sk7,sk4))),cons(skaf79(app(sk4,app(sk7,sk4))),skaf81(app(sk4,app(sk7,sk4)))))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_389]) ).
tcf(c_46386,plain,
( ( hd(cons(sk6,app(sk4,app(sk7,sk4)))) = sk6 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_10017]) ).
tcf(c_46387,plain,
( ( app(sk4,app(sk7,sk4)) = nil )
| ( cons(skaf83(app(sk4,app(sk7,sk4))),skaf82(app(sk4,app(sk7,sk4)))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_356]) ).
tcf(c_46388,plain,
( ( app(sk4,app(sk7,sk4)) = nil )
| ( cons(hd(app(sk4,app(sk7,sk4))),tl(app(sk4,app(sk7,sk4)))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_351]) ).
tcf(c_46389,plain,
( ( hd(cons(sk5,app(sk4,app(sk7,sk4)))) = sk5 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_10016]) ).
tcf(c_46390,plain,
( ( tl(cons(sk6,app(sk4,app(sk7,sk4)))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_9887]) ).
tcf(c_46391,plain,
( ( tl(cons(sk5,app(sk4,app(sk7,sk4)))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_9886]) ).
tcf(c_46392,plain,
( duplicatefreeP(app(sk4,app(sk7,sk4)))
| ~ iPr_def_11
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_6471]) ).
tcf(c_46393,plain,
( ( app(nil,app(sk4,app(sk7,sk4))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_321]) ).
tcf(c_46394,plain,
( ( app(app(sk4,app(sk7,sk4)),nil) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_320]) ).
tcf(c_46593,plain,
( ssList(app(sk4,app(sk7,sk7)))
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45961,c_332]) ).
tcf(c_46594,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk7,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(app(app(sk4,sk7),sk7),X0)) ),
inference(superposition,[status(thm)],[c_45961,c_420]) ).
tcf(c_46595,plain,
! [X0: $i] :
( ( app(sk4,sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_45961,c_398]) ).
tcf(c_46597,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk4,sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk7))
| ~ memberP(app(sk4,app(sk7,sk7)),X0) ),
inference(superposition,[status(thm)],[c_45961,c_405]) ).
tcf(c_46598,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_45961,c_366]) ).
tcf(c_46599,plain,
( ( app(sk4,sk7) = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_45961,c_365]) ).
tcf(c_46600,plain,
( frontsegP(app(sk4,app(sk7,sk7)),app(sk4,sk7))
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45961,c_808]) ).
tcf(c_46601,plain,
( rearsegP(app(sk4,app(sk7,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45961,c_807]) ).
tcf(c_46602,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45961,c_388]) ).
tcf(c_46603,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45961,c_383]) ).
tcf(c_46604,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ( app(app(sk4,sk7),X0) != app(sk4,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_45961,c_397]) ).
tcf(c_46605,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk7))
| ~ memberP(app(sk4,sk7),X0) ),
inference(superposition,[status(thm)],[c_45961,c_387]) ).
tcf(c_46606,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(app(sk4,sk7),X0) ),
inference(superposition,[status(thm)],[c_45961,c_384]) ).
tcf(c_46607,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk7,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45961,c_419]) ).
tcf(c_46608,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(superposition,[status(thm)],[c_45961,c_419]) ).
tcf(c_46609,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(app(sk4,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_45961,c_420]) ).
tcf(c_46610,plain,
( ( app(sk4,sk7) = nil )
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_45961,c_17625]) ).
tcf(c_46611,plain,
( ssList(app(sk4,app(sk7,sk7)))
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46593,c_6483]) ).
tcf(c_46614,plain,
( rearsegP(app(sk4,app(sk7,sk7)),sk7)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46601,c_6483]) ).
tcf(c_46617,plain,
( frontsegP(app(sk4,app(sk7,sk7)),app(sk4,sk7))
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46600,c_6483]) ).
tcf(c_46623,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk7,sk7))) ),
inference(light_normalisation,[status(thm)],[c_46609,c_45961]) ).
tcf(c_46624,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk7)
| ~ ssList(app(sk4,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46623,c_6483,c_6486]) ).
tcf(c_46627,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk7,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46608,c_6483,c_6486]) ).
tcf(c_46631,plain,
( ( sk7 = nil )
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46598,c_6483]) ).
tcf(c_46635,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk7,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46603,c_6483]) ).
tcf(c_46640,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk7,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46602,c_6483]) ).
tcf(c_46645,plain,
( ( app(sk4,sk7) = nil )
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46599,c_6483]) ).
tcf(c_46649,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk7,sk7)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(app(sk4,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46606,c_6483]) ).
tcf(c_46654,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk7,sk7)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk7))
| ~ memberP(app(sk4,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46605,c_6483]) ).
tcf(c_46659,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk7,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46607,c_6483]) ).
tcf(c_46665,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk4,sk7),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk7))
| ~ memberP(app(sk4,app(sk7,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46597,c_6483]) ).
tcf(c_46671,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ( app(app(sk4,sk7),X0) != app(sk4,app(sk7,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46604,c_6483]) ).
tcf(c_46676,plain,
! [X0: $i] :
( ( app(sk4,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46595,c_6483]) ).
tcf(c_46681,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk7,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(app(sk4,app(sk7,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_46594,c_45961]) ).
tcf(c_46682,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk7,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(app(sk4,app(sk7,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46681,c_6483]) ).
tcf(c_46701,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk7,sk7)),sk7),X0) = app(app(sk4,app(sk7,sk7)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_16216]) ).
tcf(c_46702,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk7,sk7)),sk4),X0) = app(app(sk4,app(sk7,sk7)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_16215]) ).
tcf(c_46703,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk4,app(sk7,sk7)))) = app(cons(X1,X0),app(sk4,app(sk7,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_404]) ).
tcf(c_46704,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk4,app(sk7,sk7))),X0) = app(X1,app(app(sk4,app(sk7,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_396]) ).
tcf(c_46705,plain,
! [X0: $i] :
( ( app(sk4,app(sk7,sk7)) = nil )
| ( app(tl(app(sk4,app(sk7,sk7))),X0) = tl(app(app(sk4,app(sk7,sk7)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_380]) ).
tcf(c_46706,plain,
! [X0: $i] :
( ( app(sk4,app(sk7,sk7)) = nil )
| ( hd(app(app(sk4,app(sk7,sk7)),X0)) = hd(app(sk4,app(sk7,sk7))) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_370]) ).
tcf(c_46707,plain,
( ( app(app(sk4,sk7),app(sk4,app(sk7,sk7))) = app(sk4,app(sk7,app(sk4,app(sk7,sk7)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_45538]) ).
tcf(c_46708,plain,
( ( app(app(sk8,sk4),app(sk4,app(sk7,sk7))) = app(sk8,app(sk4,app(sk4,app(sk7,sk7)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_37633]) ).
tcf(c_46709,plain,
( ( app(app(sk7,sk4),app(sk4,app(sk7,sk7))) = app(sk7,app(sk4,app(sk4,app(sk7,sk7)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_37632]) ).
tcf(c_46710,plain,
( ( app(app(sk4,sk4),app(sk4,app(sk7,sk7))) = app(sk4,app(sk4,app(sk4,app(sk7,sk7)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_37631]) ).
tcf(c_46711,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk4,app(sk7,sk7))) = tl(app(sk8,app(sk4,app(sk7,sk7)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_14611]) ).
tcf(c_46712,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk4,app(sk7,sk7))) = tl(app(sk7,app(sk4,app(sk7,sk7)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_14610]) ).
tcf(c_46713,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk4,app(sk7,sk7))) = tl(app(sk4,app(sk4,app(sk7,sk7)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_14609]) ).
tcf(c_46714,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk4,app(sk7,sk7)))) = hd(sk8) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_11903]) ).
tcf(c_46715,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk4,app(sk7,sk7)))) = hd(sk7) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_11902]) ).
tcf(c_46716,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk4,app(sk7,sk7)))) = hd(sk4) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_11901]) ).
tcf(c_46717,plain,
( cyclefreeP(app(sk4,app(sk7,sk7)))
| ( app(app(skaf51(app(sk4,app(sk7,sk7))),cons(skaf49(app(sk4,app(sk7,sk7))),skaf52(app(sk4,app(sk7,sk7))))),cons(skaf50(app(sk4,app(sk7,sk7))),skaf53(app(sk4,app(sk7,sk7))))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_414]) ).
tcf(c_46718,plain,
( totalorderP(app(sk4,app(sk7,sk7)))
| ( app(app(skaf56(app(sk4,app(sk7,sk7))),cons(skaf54(app(sk4,app(sk7,sk7))),skaf57(app(sk4,app(sk7,sk7))))),cons(skaf55(app(sk4,app(sk7,sk7))),skaf58(app(sk4,app(sk7,sk7))))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_413]) ).
tcf(c_46719,plain,
( strictorderP(app(sk4,app(sk7,sk7)))
| ( app(app(skaf61(app(sk4,app(sk7,sk7))),cons(skaf59(app(sk4,app(sk7,sk7))),skaf62(app(sk4,app(sk7,sk7))))),cons(skaf60(app(sk4,app(sk7,sk7))),skaf63(app(sk4,app(sk7,sk7))))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_412]) ).
tcf(c_46720,plain,
( totalorderedP(app(sk4,app(sk7,sk7)))
| ( app(app(skaf66(app(sk4,app(sk7,sk7))),cons(skaf64(app(sk4,app(sk7,sk7))),skaf67(app(sk4,app(sk7,sk7))))),cons(skaf65(app(sk4,app(sk7,sk7))),skaf68(app(sk4,app(sk7,sk7))))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_411]) ).
tcf(c_46721,plain,
( strictorderedP(app(sk4,app(sk7,sk7)))
| ( app(app(skaf71(app(sk4,app(sk7,sk7))),cons(skaf69(app(sk4,app(sk7,sk7))),skaf72(app(sk4,app(sk7,sk7))))),cons(skaf70(app(sk4,app(sk7,sk7))),skaf73(app(sk4,app(sk7,sk7))))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_410]) ).
tcf(c_46722,plain,
( duplicatefreeP(app(sk4,app(sk7,sk7)))
| ( app(app(skaf75(app(sk4,app(sk7,sk7))),cons(skaf74(app(sk4,app(sk7,sk7))),skaf76(app(sk4,app(sk7,sk7))))),cons(skaf74(app(sk4,app(sk7,sk7))),skaf77(app(sk4,app(sk7,sk7))))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_409]) ).
tcf(c_46723,plain,
( equalelemsP(app(sk4,app(sk7,sk7)))
| ( app(skaf80(app(sk4,app(sk7,sk7))),cons(skaf78(app(sk4,app(sk7,sk7))),cons(skaf79(app(sk4,app(sk7,sk7))),skaf81(app(sk4,app(sk7,sk7)))))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_389]) ).
tcf(c_46724,plain,
( ( hd(cons(sk6,app(sk4,app(sk7,sk7)))) = sk6 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_10017]) ).
tcf(c_46725,plain,
( ( app(sk4,app(sk7,sk7)) = nil )
| ( cons(skaf83(app(sk4,app(sk7,sk7))),skaf82(app(sk4,app(sk7,sk7)))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_356]) ).
tcf(c_46726,plain,
( ( app(sk4,app(sk7,sk7)) = nil )
| ( cons(hd(app(sk4,app(sk7,sk7))),tl(app(sk4,app(sk7,sk7)))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_351]) ).
tcf(c_46727,plain,
( ( hd(cons(sk5,app(sk4,app(sk7,sk7)))) = sk5 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_10016]) ).
tcf(c_46728,plain,
( ( tl(cons(sk6,app(sk4,app(sk7,sk7)))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_9887]) ).
tcf(c_46729,plain,
( ( tl(cons(sk5,app(sk4,app(sk7,sk7)))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_9886]) ).
tcf(c_46730,plain,
( duplicatefreeP(app(sk4,app(sk7,sk7)))
| ~ iPr_def_11
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_6471]) ).
tcf(c_46731,plain,
( ( app(nil,app(sk4,app(sk7,sk7))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_321]) ).
tcf(c_46732,plain,
( ( app(app(sk4,app(sk7,sk7)),nil) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_320]) ).
tcf(c_46887,plain,
( ssList(app(sk4,app(sk7,sk8)))
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45962,c_332]) ).
tcf(c_46888,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk7,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(app(app(sk4,sk7),sk8),X0)) ),
inference(superposition,[status(thm)],[c_45962,c_420]) ).
tcf(c_46889,plain,
! [X0: $i] :
( ( app(sk4,sk7) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk8)) != app(X0,sk8) ) ),
inference(superposition,[status(thm)],[c_45962,c_398]) ).
tcf(c_46891,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk4,sk7),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk7))
| ~ memberP(app(sk4,app(sk7,sk8)),X0) ),
inference(superposition,[status(thm)],[c_45962,c_405]) ).
tcf(c_46892,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_45962,c_366]) ).
tcf(c_46893,plain,
( ( app(sk4,sk7) = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_45962,c_365]) ).
tcf(c_46894,plain,
( frontsegP(app(sk4,app(sk7,sk8)),app(sk4,sk7))
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45962,c_808]) ).
tcf(c_46895,plain,
( rearsegP(app(sk4,app(sk7,sk8)),sk8)
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45962,c_807]) ).
tcf(c_46896,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk7,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45962,c_388]) ).
tcf(c_46897,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk7,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45962,c_383]) ).
tcf(c_46898,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ( app(app(sk4,sk7),X0) != app(sk4,app(sk7,sk8)) ) ),
inference(superposition,[status(thm)],[c_45962,c_397]) ).
tcf(c_46899,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk7,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk7))
| ~ memberP(app(sk4,sk7),X0) ),
inference(superposition,[status(thm)],[c_45962,c_387]) ).
tcf(c_46900,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk7,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(app(sk4,sk7),X0) ),
inference(superposition,[status(thm)],[c_45962,c_384]) ).
tcf(c_46901,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk7,sk8)),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_45962,c_419]) ).
tcf(c_46902,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk7,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(superposition,[status(thm)],[c_45962,c_419]) ).
tcf(c_46903,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk7)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(app(sk4,sk7),sk8)) ),
inference(superposition,[status(thm)],[c_45962,c_420]) ).
tcf(c_46904,plain,
( ( app(sk4,sk7) = nil )
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk8)) != sk8 ) ),
inference(superposition,[status(thm)],[c_45962,c_17621]) ).
tcf(c_46905,plain,
( ssList(app(sk4,app(sk7,sk8)))
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46887,c_6482]) ).
tcf(c_46908,plain,
( rearsegP(app(sk4,app(sk7,sk8)),sk8)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46895,c_6482]) ).
tcf(c_46911,plain,
( frontsegP(app(sk4,app(sk7,sk8)),app(sk4,sk7))
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46894,c_6482]) ).
tcf(c_46917,plain,
( ( sk8 = nil )
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46892,c_6482]) ).
tcf(c_46921,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk7,sk8)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46897,c_6482]) ).
tcf(c_46926,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk7,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46896,c_6482]) ).
tcf(c_46931,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk7)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk7,sk8))) ),
inference(light_normalisation,[status(thm)],[c_46903,c_45962]) ).
tcf(c_46932,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk7)
| ~ ssList(app(sk4,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46931,c_6482,c_6483,c_6486]) ).
tcf(c_46935,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk7,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46902,c_6482,c_6483,c_6486]) ).
tcf(c_46939,plain,
( ( app(sk4,sk7) = nil )
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46893,c_6482]) ).
tcf(c_46943,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk7,sk8)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(app(sk4,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46900,c_6482]) ).
tcf(c_46948,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk7,sk8)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk7))
| ~ memberP(app(sk4,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46899,c_6482]) ).
tcf(c_46953,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk7,sk8)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46901,c_6482]) ).
tcf(c_46959,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk4,sk7),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk7))
| ~ memberP(app(sk4,app(sk7,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46891,c_6482]) ).
tcf(c_46965,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ( app(app(sk4,sk7),X0) != app(sk4,app(sk7,sk8)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46898,c_6482]) ).
tcf(c_46970,plain,
! [X0: $i] :
( ( app(sk4,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk8)) != app(X0,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46889,c_6482]) ).
tcf(c_46975,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk7,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(app(sk4,app(sk7,sk8)),X0)) ),
inference(light_normalisation,[status(thm)],[c_46888,c_45962]) ).
tcf(c_46976,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk7,sk8)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(app(sk4,app(sk7,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46975,c_6482]) ).
tcf(c_47165,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk7,sk8)),sk7),X0) = app(app(sk4,app(sk7,sk8)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_16216]) ).
tcf(c_47166,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk7,sk8)),sk4),X0) = app(app(sk4,app(sk7,sk8)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_16215]) ).
tcf(c_47167,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk4,app(sk7,sk8)))) = app(cons(X1,X0),app(sk4,app(sk7,sk8))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_404]) ).
tcf(c_47168,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk4,app(sk7,sk8))),X0) = app(X1,app(app(sk4,app(sk7,sk8)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_396]) ).
tcf(c_47169,plain,
! [X0: $i] :
( ( app(sk4,app(sk7,sk8)) = nil )
| ( app(tl(app(sk4,app(sk7,sk8))),X0) = tl(app(app(sk4,app(sk7,sk8)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_380]) ).
tcf(c_47170,plain,
! [X0: $i] :
( ( app(sk4,app(sk7,sk8)) = nil )
| ( hd(app(app(sk4,app(sk7,sk8)),X0)) = hd(app(sk4,app(sk7,sk8))) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_370]) ).
tcf(c_47171,plain,
( ( app(app(sk4,sk7),app(sk4,app(sk7,sk8))) = app(sk4,app(sk7,app(sk4,app(sk7,sk8)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_45538]) ).
tcf(c_47172,plain,
( ( app(app(sk8,sk4),app(sk4,app(sk7,sk8))) = app(sk8,app(sk4,app(sk4,app(sk7,sk8)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_37633]) ).
tcf(c_47173,plain,
( ( app(app(sk7,sk4),app(sk4,app(sk7,sk8))) = app(sk7,app(sk4,app(sk4,app(sk7,sk8)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_37632]) ).
tcf(c_47174,plain,
( ( app(app(sk4,sk4),app(sk4,app(sk7,sk8))) = app(sk4,app(sk4,app(sk4,app(sk7,sk8)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_37631]) ).
tcf(c_47175,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk4,app(sk7,sk8))) = tl(app(sk8,app(sk4,app(sk7,sk8)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_14611]) ).
tcf(c_47176,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk4,app(sk7,sk8))) = tl(app(sk7,app(sk4,app(sk7,sk8)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_14610]) ).
tcf(c_47177,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk4,app(sk7,sk8))) = tl(app(sk4,app(sk4,app(sk7,sk8)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_14609]) ).
tcf(c_47178,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk4,app(sk7,sk8)))) = hd(sk8) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_11903]) ).
tcf(c_47179,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk4,app(sk7,sk8)))) = hd(sk7) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_11902]) ).
tcf(c_47180,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk4,app(sk7,sk8)))) = hd(sk4) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_11901]) ).
tcf(c_47181,plain,
( cyclefreeP(app(sk4,app(sk7,sk8)))
| ( app(app(skaf51(app(sk4,app(sk7,sk8))),cons(skaf49(app(sk4,app(sk7,sk8))),skaf52(app(sk4,app(sk7,sk8))))),cons(skaf50(app(sk4,app(sk7,sk8))),skaf53(app(sk4,app(sk7,sk8))))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_414]) ).
tcf(c_47182,plain,
( totalorderP(app(sk4,app(sk7,sk8)))
| ( app(app(skaf56(app(sk4,app(sk7,sk8))),cons(skaf54(app(sk4,app(sk7,sk8))),skaf57(app(sk4,app(sk7,sk8))))),cons(skaf55(app(sk4,app(sk7,sk8))),skaf58(app(sk4,app(sk7,sk8))))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_413]) ).
tcf(c_47183,plain,
( strictorderP(app(sk4,app(sk7,sk8)))
| ( app(app(skaf61(app(sk4,app(sk7,sk8))),cons(skaf59(app(sk4,app(sk7,sk8))),skaf62(app(sk4,app(sk7,sk8))))),cons(skaf60(app(sk4,app(sk7,sk8))),skaf63(app(sk4,app(sk7,sk8))))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_412]) ).
tcf(c_47184,plain,
( totalorderedP(app(sk4,app(sk7,sk8)))
| ( app(app(skaf66(app(sk4,app(sk7,sk8))),cons(skaf64(app(sk4,app(sk7,sk8))),skaf67(app(sk4,app(sk7,sk8))))),cons(skaf65(app(sk4,app(sk7,sk8))),skaf68(app(sk4,app(sk7,sk8))))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_411]) ).
tcf(c_47185,plain,
( strictorderedP(app(sk4,app(sk7,sk8)))
| ( app(app(skaf71(app(sk4,app(sk7,sk8))),cons(skaf69(app(sk4,app(sk7,sk8))),skaf72(app(sk4,app(sk7,sk8))))),cons(skaf70(app(sk4,app(sk7,sk8))),skaf73(app(sk4,app(sk7,sk8))))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_410]) ).
tcf(c_47186,plain,
( duplicatefreeP(app(sk4,app(sk7,sk8)))
| ( app(app(skaf75(app(sk4,app(sk7,sk8))),cons(skaf74(app(sk4,app(sk7,sk8))),skaf76(app(sk4,app(sk7,sk8))))),cons(skaf74(app(sk4,app(sk7,sk8))),skaf77(app(sk4,app(sk7,sk8))))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_409]) ).
tcf(c_47187,plain,
( equalelemsP(app(sk4,app(sk7,sk8)))
| ( app(skaf80(app(sk4,app(sk7,sk8))),cons(skaf78(app(sk4,app(sk7,sk8))),cons(skaf79(app(sk4,app(sk7,sk8))),skaf81(app(sk4,app(sk7,sk8)))))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_389]) ).
tcf(c_47188,plain,
( ( hd(cons(sk6,app(sk4,app(sk7,sk8)))) = sk6 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_10017]) ).
tcf(c_47189,plain,
( ( app(sk4,app(sk7,sk8)) = nil )
| ( cons(skaf83(app(sk4,app(sk7,sk8))),skaf82(app(sk4,app(sk7,sk8)))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_356]) ).
tcf(c_47190,plain,
( ( app(sk4,app(sk7,sk8)) = nil )
| ( cons(hd(app(sk4,app(sk7,sk8))),tl(app(sk4,app(sk7,sk8)))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_351]) ).
tcf(c_47191,plain,
( ( hd(cons(sk5,app(sk4,app(sk7,sk8)))) = sk5 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_10016]) ).
tcf(c_47192,plain,
( ( tl(cons(sk6,app(sk4,app(sk7,sk8)))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_9887]) ).
tcf(c_47193,plain,
( ( tl(cons(sk5,app(sk4,app(sk7,sk8)))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_9886]) ).
tcf(c_47194,plain,
( duplicatefreeP(app(sk4,app(sk7,sk8)))
| ~ iPr_def_11
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_6471]) ).
tcf(c_47195,plain,
( ( app(nil,app(sk4,app(sk7,sk8))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_321]) ).
tcf(c_47196,plain,
( ( app(app(sk4,app(sk7,sk8)),nil) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_320]) ).
tcf(c_47349,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf68(X0)) = nil )
| ( cons(sk5,skaf68(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf68(X0)))
| ( skaf68(X0) != tl(X1) )
| ( hd(cons(sk5,skaf68(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10194,c_424]) ).
tcf(c_47352,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf68(X0)) = nil )
| ( cons(sk5,skaf68(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf68(X0)))
| ( hd(X1) != sk5 )
| ( skaf68(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_47349,c_10662]) ).
tcf(c_47360,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_12,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_12)
| ~ ssList(skaf45(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_45451,c_400]) ).
tcf(c_47361,plain,
( ( app(skaf46(iPr_def_12,skaf45(iPr_def_12,iPr_def_12)),skaf45(iPr_def_12,iPr_def_12)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(skaf45(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_45451,c_378]) ).
tcf(c_47362,plain,
( ( skaf45(iPr_def_12,iPr_def_12) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(skaf45(iPr_def_12,iPr_def_12))
| ~ rearsegP(skaf45(iPr_def_12,iPr_def_12),iPr_def_12) ),
inference(superposition,[status(thm)],[c_45451,c_375]) ).
tcf(c_47363,plain,
( rearsegP(iPr_def_13,skaf45(iPr_def_12,iPr_def_12))
| ~ ssList(skaf45(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_45451,c_13340]) ).
tcf(c_47364,plain,
rearsegP(iPr_def_13,skaf45(iPr_def_12,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_47363,c_298]) ).
tcf(c_47365,plain,
( ( skaf45(iPr_def_12,iPr_def_12) = iPr_def_12 )
| ~ rearsegP(skaf45(iPr_def_12,iPr_def_12),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47362,c_9489,c_298]) ).
tcf(c_47368,plain,
app(skaf46(iPr_def_12,skaf45(iPr_def_12,iPr_def_12)),skaf45(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_47361,c_9489,c_298]) ).
tcf(c_47369,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_12,iPr_def_12))
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47360,c_9489,c_298]) ).
tcf(c_47385,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),skaf45(iPr_def_14,iPr_def_14))
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_14,iPr_def_14))
| ~ ssList(app(app(iPr_def_14,skaf45(iPr_def_14,iPr_def_14)),X0)) ),
inference(superposition,[status(thm)],[c_13145,c_420]) ).
tcf(c_47386,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_14,iPr_def_14))
| ( app(X0,skaf45(iPr_def_14,iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13145,c_398]) ).
tcf(c_47392,plain,
( rearsegP(iPr_def_14,skaf45(iPr_def_14,iPr_def_14))
| ~ ssList(iPr_def_14)
| ~ ssList(skaf45(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_13145,c_807]) ).
tcf(c_47393,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| ~ ssList(iPr_def_14)
| ~ ssItem(X0)
| ~ ssList(skaf45(iPr_def_14,iPr_def_14))
| ~ memberP(skaf45(iPr_def_14,iPr_def_14),X0) ),
inference(superposition,[status(thm)],[c_13145,c_388]) ).
tcf(c_47394,plain,
! [X0: $i] :
( rearsegP(iPr_def_14,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_14,iPr_def_14))
| ~ rearsegP(skaf45(iPr_def_14,iPr_def_14),X0) ),
inference(superposition,[status(thm)],[c_13145,c_383]) ).
tcf(c_47395,plain,
! [X0: $i] :
( ( skaf45(iPr_def_14,iPr_def_14) = X0 )
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_14,iPr_def_14))
| ( app(iPr_def_14,X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13145,c_397]) ).
tcf(c_47398,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_14,X1),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_14,iPr_def_14))
| ~ segmentP(skaf45(iPr_def_14,iPr_def_14),X0) ),
inference(superposition,[status(thm)],[c_13145,c_419]) ).
tcf(c_47399,plain,
rearsegP(iPr_def_14,skaf45(iPr_def_14,iPr_def_14)),
inference(forward_subsumption_resolution,[status(thm)],[c_47392,c_9488,c_298]) ).
tcf(c_47400,plain,
! [X0: $i] :
( rearsegP(iPr_def_14,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(iPr_def_14,iPr_def_14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47394,c_9488,c_298]) ).
tcf(c_47404,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(iPr_def_14,iPr_def_14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47393,c_9488,c_298]) ).
tcf(c_47408,plain,
! [X0: $i] :
( ( skaf45(iPr_def_14,iPr_def_14) = X0 )
| ~ ssList(X0)
| ( app(iPr_def_14,X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47395,c_9488,c_298]) ).
tcf(c_47412,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(X0)
| ( app(X0,skaf45(iPr_def_14,iPr_def_14)) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47386,c_9488,c_298]) ).
tcf(c_47416,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_14,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(iPr_def_14,iPr_def_14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47398,c_9488,c_298]) ).
tcf(c_47421,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),skaf45(iPr_def_14,iPr_def_14))
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_14,iPr_def_14))
| ~ ssList(app(iPr_def_14,X0)) ),
inference(light_normalisation,[status(thm)],[c_47385,c_13145]) ).
tcf(c_47422,plain,
! [X0: $i] :
( segmentP(app(iPr_def_14,X0),skaf45(iPr_def_14,iPr_def_14))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47421,c_9488,c_298]) ).
tcf(c_47441,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_14,iPr_def_14))
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_14)
| ~ ssList(skaf45(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_47399,c_400]) ).
tcf(c_47442,plain,
( ( app(skaf46(iPr_def_14,skaf45(iPr_def_14,iPr_def_14)),skaf45(iPr_def_14,iPr_def_14)) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(skaf45(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_47399,c_378]) ).
tcf(c_47443,plain,
( ( skaf45(iPr_def_14,iPr_def_14) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(skaf45(iPr_def_14,iPr_def_14))
| ~ rearsegP(skaf45(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(superposition,[status(thm)],[c_47399,c_375]) ).
tcf(c_47444,plain,
( ( skaf45(iPr_def_14,iPr_def_14) = iPr_def_14 )
| ~ rearsegP(skaf45(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47443,c_9488,c_298]) ).
tcf(c_47447,plain,
app(skaf46(iPr_def_14,skaf45(iPr_def_14,iPr_def_14)),skaf45(iPr_def_14,iPr_def_14)) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_47442,c_9488,c_298]) ).
tcf(c_47448,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_14,iPr_def_14))
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47441,c_9488,c_298]) ).
tcf(c_47454,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),skaf45(iPr_def_16,iPr_def_16))
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_16))
| ~ ssList(app(app(iPr_def_16,skaf45(iPr_def_16,iPr_def_16)),X0)) ),
inference(superposition,[status(thm)],[c_13146,c_420]) ).
tcf(c_47455,plain,
! [X0: $i] :
( ( X0 = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_16))
| ( app(X0,skaf45(iPr_def_16,iPr_def_16)) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_13146,c_398]) ).
tcf(c_47461,plain,
( rearsegP(iPr_def_16,skaf45(iPr_def_16,iPr_def_16))
| ~ ssList(iPr_def_16)
| ~ ssList(skaf45(iPr_def_16,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_13146,c_807]) ).
tcf(c_47462,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssList(iPr_def_16)
| ~ ssItem(X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_16))
| ~ memberP(skaf45(iPr_def_16,iPr_def_16),X0) ),
inference(superposition,[status(thm)],[c_13146,c_388]) ).
tcf(c_47463,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_16))
| ~ rearsegP(skaf45(iPr_def_16,iPr_def_16),X0) ),
inference(superposition,[status(thm)],[c_13146,c_383]) ).
tcf(c_47464,plain,
! [X0: $i] :
( ( skaf45(iPr_def_16,iPr_def_16) = X0 )
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_16))
| ( app(iPr_def_16,X0) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_13146,c_397]) ).
tcf(c_47467,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(iPr_def_16)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_16))
| ~ segmentP(skaf45(iPr_def_16,iPr_def_16),X0) ),
inference(superposition,[status(thm)],[c_13146,c_419]) ).
tcf(c_47471,plain,
rearsegP(iPr_def_16,skaf45(iPr_def_16,iPr_def_16)),
inference(forward_subsumption_resolution,[status(thm)],[c_47461,c_9020,c_298]) ).
tcf(c_47472,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(iPr_def_16,iPr_def_16),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47463,c_9020,c_298]) ).
tcf(c_47476,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(iPr_def_16,iPr_def_16),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47462,c_9020,c_298]) ).
tcf(c_47480,plain,
! [X0: $i] :
( ( skaf45(iPr_def_16,iPr_def_16) = X0 )
| ~ ssList(X0)
| ( app(iPr_def_16,X0) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47464,c_9020,c_298]) ).
tcf(c_47484,plain,
! [X0: $i] :
( ( X0 = iPr_def_16 )
| ~ ssList(X0)
| ( app(X0,skaf45(iPr_def_16,iPr_def_16)) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47455,c_9020,c_298]) ).
tcf(c_47488,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(iPr_def_16,iPr_def_16),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47467,c_9020,c_298]) ).
tcf(c_47493,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),skaf45(iPr_def_16,iPr_def_16))
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_16))
| ~ ssList(app(iPr_def_16,X0)) ),
inference(light_normalisation,[status(thm)],[c_47454,c_13146]) ).
tcf(c_47494,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),skaf45(iPr_def_16,iPr_def_16))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47493,c_9020,c_298]) ).
tcf(c_47512,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_12,iPr_def_12))
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_13)
| ~ ssList(skaf45(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_47364,c_400]) ).
tcf(c_47513,plain,
( ( app(skaf46(iPr_def_13,skaf45(iPr_def_12,iPr_def_12)),skaf45(iPr_def_12,iPr_def_12)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(skaf45(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_47364,c_378]) ).
tcf(c_47514,plain,
( ( skaf45(iPr_def_12,iPr_def_12) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(skaf45(iPr_def_12,iPr_def_12))
| ~ rearsegP(skaf45(iPr_def_12,iPr_def_12),iPr_def_13) ),
inference(superposition,[status(thm)],[c_47364,c_375]) ).
tcf(c_47515,plain,
( ( skaf45(iPr_def_12,iPr_def_12) = iPr_def_13 )
| ~ rearsegP(skaf45(iPr_def_12,iPr_def_12),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47514,c_9527,c_298]) ).
tcf(c_47518,plain,
app(skaf46(iPr_def_13,skaf45(iPr_def_12,iPr_def_12)),skaf45(iPr_def_12,iPr_def_12)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_47513,c_9527,c_298]) ).
tcf(c_47519,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_12,iPr_def_12))
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47512,c_9527,c_298]) ).
tcf(c_47523,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_16,iPr_def_16))
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_16)
| ~ ssList(skaf45(iPr_def_16,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_47471,c_400]) ).
tcf(c_47524,plain,
( ( app(skaf46(iPr_def_16,skaf45(iPr_def_16,iPr_def_16)),skaf45(iPr_def_16,iPr_def_16)) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf45(iPr_def_16,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_47471,c_378]) ).
tcf(c_47525,plain,
( ( skaf45(iPr_def_16,iPr_def_16) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf45(iPr_def_16,iPr_def_16))
| ~ rearsegP(skaf45(iPr_def_16,iPr_def_16),iPr_def_16) ),
inference(superposition,[status(thm)],[c_47471,c_375]) ).
tcf(c_47526,plain,
( ( skaf45(iPr_def_16,iPr_def_16) = iPr_def_16 )
| ~ rearsegP(skaf45(iPr_def_16,iPr_def_16),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47525,c_9020,c_298]) ).
tcf(c_47529,plain,
app(skaf46(iPr_def_16,skaf45(iPr_def_16,iPr_def_16)),skaf45(iPr_def_16,iPr_def_16)) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_47524,c_9020,c_298]) ).
tcf(c_47530,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_16,iPr_def_16))
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47523,c_9020,c_298]) ).
tcf(c_47534,plain,
skaf45(nil,nil) = nil,
inference(demodulation,[status(thm)],[c_13150,c_9224]) ).
tcf(c_47549,plain,
skaf45(iPr_def_13,nil) = iPr_def_13,
inference(demodulation,[status(thm)],[c_13153,c_9224]) ).
tcf(c_47568,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ rearsegP(X0,app(sk4,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_46256,c_400]) ).
tcf(c_47569,plain,
( ( app(skaf46(app(sk4,app(sk7,sk4)),sk4),sk4) = app(sk4,app(sk7,sk4)) )
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_46256,c_378]) ).
tcf(c_47570,plain,
( ( app(sk4,app(sk7,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk4,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_46256,c_375]) ).
tcf(c_47571,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ rearsegP(X0,app(sk4,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47568,c_6486]) ).
tcf(c_47577,plain,
( ( app(sk4,app(sk7,sk4)) = sk4 )
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk4,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47570,c_6486]) ).
tcf(c_47582,plain,
( ( app(skaf46(app(sk4,app(sk7,sk4)),sk4),sk4) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47569,c_6486]) ).
tcf(c_47701,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ rearsegP(X0,app(sk4,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_46614,c_400]) ).
tcf(c_47702,plain,
( ( app(skaf46(app(sk4,app(sk7,sk7)),sk7),sk7) = app(sk4,app(sk7,sk7)) )
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_46614,c_378]) ).
tcf(c_47703,plain,
( ( app(sk4,app(sk7,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ rearsegP(sk7,app(sk4,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_46614,c_375]) ).
tcf(c_47704,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ rearsegP(X0,app(sk4,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47701,c_6483]) ).
tcf(c_47710,plain,
( ( app(sk4,app(sk7,sk7)) = sk7 )
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ rearsegP(sk7,app(sk4,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47703,c_6483]) ).
tcf(c_47715,plain,
( ( app(skaf46(app(sk4,app(sk7,sk7)),sk7),sk7) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47702,c_6483]) ).
tcf(c_47724,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ rearsegP(X0,app(sk4,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_46908,c_400]) ).
tcf(c_47725,plain,
( ( app(skaf46(app(sk4,app(sk7,sk8)),sk8),sk8) = app(sk4,app(sk7,sk8)) )
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_46908,c_378]) ).
tcf(c_47726,plain,
( ( app(sk4,app(sk7,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ rearsegP(sk8,app(sk4,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_46908,c_375]) ).
tcf(c_47727,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ rearsegP(X0,app(sk4,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47724,c_6482]) ).
tcf(c_47733,plain,
( ( app(sk4,app(sk7,sk8)) = sk8 )
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ rearsegP(sk8,app(sk4,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47726,c_6482]) ).
tcf(c_47738,plain,
( ( app(skaf46(app(sk4,app(sk7,sk8)),sk8),sk8) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47725,c_6482]) ).
tcf(c_47747,plain,
! [X0: $i] :
( frontsegP(X0,app(sk4,sk7))
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ frontsegP(X0,app(sk4,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_46259,c_401]) ).
tcf(c_47748,plain,
( ( app(app(sk4,sk7),skaf45(app(sk4,app(sk7,sk4)),app(sk4,sk7))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_46259,c_379]) ).
tcf(c_47749,plain,
( ( app(sk4,app(sk7,sk4)) = app(sk4,sk7) )
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ frontsegP(app(sk4,sk7),app(sk4,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_46259,c_376]) ).
tcf(c_47767,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(X0,app(sk4,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_46266,c_399]) ).
tcf(c_47768,plain,
( ( app(app(skaf47(app(sk4,app(sk7,sk4)),sk7),sk7),skaf48(sk7,app(sk4,app(sk7,sk4)))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(sk7)
| ~ ssList(app(sk4,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_46266,c_415]) ).
tcf(c_47769,plain,
( ( app(sk4,app(sk7,sk4)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk4,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_46266,c_374]) ).
tcf(c_47770,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(X0,app(sk4,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47767,c_6483]) ).
tcf(c_47775,plain,
( ( app(sk4,app(sk7,sk4)) = sk7 )
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk4,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47769,c_6483]) ).
tcf(c_47779,plain,
( ( app(app(skaf47(app(sk4,app(sk7,sk4)),sk7),sk7),skaf48(sk7,app(sk4,app(sk7,sk4)))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47768,c_6483]) ).
tcf(c_47789,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X1)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(X0,app(sk4,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_46269,c_399]) ).
tcf(c_47790,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk4,app(sk7,sk4)),X0),X0),skaf48(X0,app(sk4,app(sk7,sk4)))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk4,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_46269,c_415]) ).
tcf(c_47791,plain,
! [X0: $i] :
( ( app(sk4,app(sk7,sk4)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(X0,app(sk4,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_46269,c_374]) ).
tcf(c_47793,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk4,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_46269,c_28549]) ).
tcf(c_47794,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk4,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_46269,c_27097]) ).
tcf(c_47795,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk4,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_46269,c_27109]) ).
tcf(c_47796,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk7)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk4,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47795,c_24748]) ).
tcf(c_47800,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk7)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk4,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47794,c_9020]) ).
tcf(c_47804,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk8)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk4,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47793,c_9020]) ).
tcf(c_47829,plain,
! [X0: $i] :
( frontsegP(X0,app(sk4,sk7))
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ frontsegP(X0,app(sk4,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_46617,c_401]) ).
tcf(c_47830,plain,
( ( app(app(sk4,sk7),skaf45(app(sk4,app(sk7,sk7)),app(sk4,sk7))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_46617,c_379]) ).
tcf(c_47831,plain,
( ( app(sk4,app(sk7,sk7)) = app(sk4,sk7) )
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ frontsegP(app(sk4,sk7),app(sk4,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_46617,c_376]) ).
tcf(c_47849,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(X0,app(sk4,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_46624,c_399]) ).
tcf(c_47850,plain,
( ( app(app(skaf47(app(sk4,app(sk7,sk7)),sk7),sk7),skaf48(sk7,app(sk4,app(sk7,sk7)))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(sk7)
| ~ ssList(app(sk4,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_46624,c_415]) ).
tcf(c_47851,plain,
( ( app(sk4,app(sk7,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk4,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_46624,c_374]) ).
tcf(c_47852,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(X0,app(sk4,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47849,c_6483]) ).
tcf(c_47857,plain,
( ( app(sk4,app(sk7,sk7)) = sk7 )
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk4,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47851,c_6483]) ).
tcf(c_47861,plain,
( ( app(app(skaf47(app(sk4,app(sk7,sk7)),sk7),sk7),skaf48(sk7,app(sk4,app(sk7,sk7)))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47850,c_6483]) ).
tcf(c_47865,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf67(X0)) = nil )
| ( cons(sk5,skaf67(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf67(X0)))
| ( skaf67(X0) != tl(X1) )
| ( hd(cons(sk5,skaf67(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10195,c_424]) ).
tcf(c_47868,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf67(X0)) = nil )
| ( cons(sk5,skaf67(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf67(X0)))
| ( hd(X1) != sk5 )
| ( skaf67(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_47865,c_10663]) ).
tcf(c_47876,plain,
skaf45(iPr_def_12,nil) = iPr_def_12,
inference(demodulation,[status(thm)],[c_13154,c_9224]) ).
tcf(c_47885,plain,
skaf45(iPr_def_14,nil) = iPr_def_14,
inference(demodulation,[status(thm)],[c_13155,c_9224]) ).
tcf(c_47894,plain,
skaf45(iPr_def_16,nil) = iPr_def_16,
inference(demodulation,[status(thm)],[c_13156,c_9224]) ).
tcf(c_47903,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ leq(X1,hd(iPr_def_15))
| ~ leq(hd(iPr_def_15),X1)
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(hd(iPr_def_15),tl(iPr_def_15))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24917,c_432]) ).
tcf(c_47904,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_15))
| leq(hd(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(hd(iPr_def_15),tl(iPr_def_15))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24917,c_431]) ).
tcf(c_47905,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_15))
| lt(hd(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(hd(iPr_def_15),tl(iPr_def_15))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24917,c_430]) ).
tcf(c_47906,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(iPr_def_15),tl(iPr_def_15))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24917,c_429]) ).
tcf(c_47907,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(iPr_def_15),tl(iPr_def_15))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24917,c_428]) ).
tcf(c_47908,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ ssList(app(app(X0,iPr_def_15),cons(hd(iPr_def_15),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_15),tl(iPr_def_15))),cons(hd(iPr_def_15),X1))) ),
inference(superposition,[status(thm)],[c_24917,c_426]) ).
tcf(c_47909,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_15),hd(iPr_def_15))
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ ssList(app(X0,cons(hd(iPr_def_15),tl(iPr_def_15)))) ),
inference(superposition,[status(thm)],[c_24917,c_422]) ).
tcf(c_47910,plain,
( memberP(iPr_def_15,hd(iPr_def_15))
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24917,c_385]) ).
tcf(c_47912,plain,
( ( tl(iPr_def_15) = nil )
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ( iPr_def_12 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24917,c_21847]) ).
tcf(c_47913,plain,
( ( tl(iPr_def_15) = nil )
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ( iPr_def_14 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24917,c_21842]) ).
tcf(c_47914,plain,
( ( hd(iPr_def_15) = sk5 )
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ( iPr_def_12 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24917,c_21750]) ).
tcf(c_47915,plain,
( ( hd(iPr_def_15) = sk6 )
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ( iPr_def_14 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24917,c_21745]) ).
tcf(c_47916,plain,
( ( hd(iPr_def_15) = sk5 )
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24917,c_21595]) ).
tcf(c_47917,plain,
( ( hd(iPr_def_15) = sk6 )
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24917,c_21590]) ).
tcf(c_47918,plain,
( ( hd(iPr_def_15) = sk5 )
| ~ frontsegP(iPr_def_15,iPr_def_12)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24917,c_21585]) ).
tcf(c_47919,plain,
( ( hd(iPr_def_15) = sk6 )
| ~ frontsegP(iPr_def_15,iPr_def_14)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24917,c_21580]) ).
tcf(c_47920,plain,
( frontsegP(nil,tl(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24917,c_21202]) ).
tcf(c_47921,plain,
( frontsegP(nil,tl(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24917,c_21197]) ).
tcf(c_47924,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_15) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ frontsegP(iPr_def_15,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_24917,c_423]) ).
tcf(c_47925,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(iPr_def_15),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ frontsegP(iPr_def_15,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_24917,c_421]) ).
tcf(c_47926,plain,
! [X0: $i] :
( memberP(tl(iPr_def_15),X0)
| ( hd(iPr_def_15) = X0 )
| ~ ssItem(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ memberP(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_24917,c_408]) ).
tcf(c_47927,plain,
( leq(hd(iPr_def_15),hd(tl(iPr_def_15)))
| ( tl(iPr_def_15) = nil )
| ~ totalorderedP(iPr_def_15)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24917,c_382]) ).
tcf(c_47928,plain,
( lt(hd(iPr_def_15),hd(tl(iPr_def_15)))
| ( tl(iPr_def_15) = nil )
| ~ strictorderedP(iPr_def_15)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24917,c_381]) ).
tcf(c_47929,plain,
( totalorderedP(tl(iPr_def_15))
| ( tl(iPr_def_15) = nil )
| ~ totalorderedP(iPr_def_15)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24917,c_372]) ).
tcf(c_47930,plain,
( strictorderedP(tl(iPr_def_15))
| ( tl(iPr_def_15) = nil )
| ~ strictorderedP(iPr_def_15)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24917,c_371]) ).
tcf(c_47931,plain,
( ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ( tl(iPr_def_15) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24917,c_346]) ).
tcf(c_47933,plain,
! [X0: $i] :
( frontsegP(cons(hd(iPr_def_15),X0),iPr_def_15)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ frontsegP(X0,tl(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24917,c_425]) ).
tcf(c_47934,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_15) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ ssList(app(X0,cons(X1,iPr_def_15)))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(iPr_def_15),tl(iPr_def_15))))) ),
inference(superposition,[status(thm)],[c_24917,c_427]) ).
tcf(c_47935,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_15) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ( cons(X0,X1) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24917,c_418]) ).
tcf(c_47936,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_15) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ( cons(X0,X1) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24917,c_417]) ).
tcf(c_47937,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_15) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ frontsegP(cons(X0,X1),iPr_def_15) ),
inference(superposition,[status(thm)],[c_24917,c_423]) ).
tcf(c_47938,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(iPr_def_15))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ frontsegP(cons(X0,X1),iPr_def_15) ),
inference(superposition,[status(thm)],[c_24917,c_421]) ).
tcf(c_47939,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,cons(hd(iPr_def_15),X0))
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ frontsegP(tl(iPr_def_15),X0) ),
inference(superposition,[status(thm)],[c_24917,c_425]) ).
tcf(c_47940,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ memberP(tl(iPr_def_15),X0) ),
inference(superposition,[status(thm)],[c_24917,c_386]) ).
tcf(c_47941,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ leq(X1,hd(iPr_def_15))
| ~ leq(hd(iPr_def_15),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_15),tl(iPr_def_15)))) ),
inference(superposition,[status(thm)],[c_24917,c_432]) ).
tcf(c_47942,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_15))
| leq(hd(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_15),tl(iPr_def_15)))) ),
inference(superposition,[status(thm)],[c_24917,c_431]) ).
tcf(c_47943,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_15))
| lt(hd(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_15),tl(iPr_def_15)))) ),
inference(superposition,[status(thm)],[c_24917,c_430]) ).
tcf(c_47944,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_15))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_15),tl(iPr_def_15)))) ),
inference(superposition,[status(thm)],[c_24917,c_429]) ).
tcf(c_47945,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_15))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_15),tl(iPr_def_15)))) ),
inference(superposition,[status(thm)],[c_24917,c_428]) ).
tcf(c_47946,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ ssList(app(app(X0,cons(hd(iPr_def_15),X1)),iPr_def_15))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_15),X1)),cons(hd(iPr_def_15),tl(iPr_def_15)))) ),
inference(superposition,[status(thm)],[c_24917,c_426]) ).
tcf(c_48070,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_15),hd(iPr_def_15))
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ ssList(app(X0,iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_47909,c_24917]) ).
tcf(c_48076,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_15) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_15)))
| ~ ssList(app(X0,cons(X1,iPr_def_15))) ),
inference(light_normalisation,[status(thm)],[c_47934,c_24917]) ).
tcf(c_48084,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_15),X1)),iPr_def_15))
| ~ ssList(app(app(X0,cons(hd(iPr_def_15),X1)),iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_47946,c_24917]) ).
tcf(c_48091,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ duplicatefreeP(app(app(X0,iPr_def_15),cons(hd(iPr_def_15),X1)))
| ~ ssList(app(app(X0,iPr_def_15),cons(hd(iPr_def_15),X1))) ),
inference(light_normalisation,[status(thm)],[c_47908,c_24917]) ).
tcf(c_48098,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_15))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_47945,c_24917]) ).
tcf(c_48107,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_15))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_47944,c_24917]) ).
tcf(c_48116,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ strictorderedP(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_47907,c_24917]) ).
tcf(c_48125,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ totalorderedP(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_47906,c_24917]) ).
tcf(c_48134,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_15))
| lt(hd(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ strictorderP(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_47943,c_24917]) ).
tcf(c_48144,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_15))
| leq(hd(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ totalorderP(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_47942,c_24917]) ).
tcf(c_48154,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_15))
| lt(hd(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ strictorderP(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_47905,c_24917]) ).
tcf(c_48164,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_15))
| leq(hd(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ totalorderP(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_47904,c_24917]) ).
tcf(c_48174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ leq(X1,hd(iPr_def_15))
| ~ leq(hd(iPr_def_15),X1)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_47941,c_24917]) ).
tcf(c_48184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_15))
| ~ ssList(tl(iPr_def_15))
| ~ leq(X1,hd(iPr_def_15))
| ~ leq(hd(iPr_def_15),X1)
| ~ cyclefreeP(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_47903,c_24917]) ).
tcf(c_48275,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ leq(X1,skaf83(iPr_def_15))
| ~ leq(skaf83(iPr_def_15),X1)
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(iPr_def_15),skaf82(iPr_def_15))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24918,c_432]) ).
tcf(c_48276,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_15))
| leq(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(skaf83(iPr_def_15),skaf82(iPr_def_15))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24918,c_431]) ).
tcf(c_48277,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_15))
| lt(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(skaf83(iPr_def_15),skaf82(iPr_def_15))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24918,c_430]) ).
tcf(c_48278,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(skaf83(iPr_def_15),skaf82(iPr_def_15))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24918,c_429]) ).
tcf(c_48279,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(skaf83(iPr_def_15),skaf82(iPr_def_15))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_24918,c_428]) ).
tcf(c_48280,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(app(app(X0,iPr_def_15),cons(skaf83(iPr_def_15),X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(iPr_def_15),skaf82(iPr_def_15))),cons(skaf83(iPr_def_15),X1))) ),
inference(superposition,[status(thm)],[c_24918,c_426]) ).
tcf(c_48281,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_15),skaf83(iPr_def_15))
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(app(X0,cons(skaf83(iPr_def_15),skaf82(iPr_def_15)))) ),
inference(superposition,[status(thm)],[c_24918,c_422]) ).
tcf(c_48282,plain,
( memberP(iPr_def_15,skaf83(iPr_def_15))
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24918,c_385]) ).
tcf(c_48284,plain,
( ( skaf82(iPr_def_15) = nil )
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ( iPr_def_12 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24918,c_21847]) ).
tcf(c_48285,plain,
( ( skaf82(iPr_def_15) = nil )
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ( iPr_def_14 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24918,c_21842]) ).
tcf(c_48286,plain,
( ( skaf83(iPr_def_15) = sk5 )
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ( iPr_def_12 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24918,c_21750]) ).
tcf(c_48287,plain,
( ( skaf83(iPr_def_15) = sk6 )
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ( iPr_def_14 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24918,c_21745]) ).
tcf(c_48288,plain,
( ( skaf83(iPr_def_15) = sk5 )
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24918,c_21595]) ).
tcf(c_48289,plain,
( ( skaf83(iPr_def_15) = sk6 )
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24918,c_21590]) ).
tcf(c_48290,plain,
( ( skaf83(iPr_def_15) = sk5 )
| ~ frontsegP(iPr_def_15,iPr_def_12)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24918,c_21585]) ).
tcf(c_48291,plain,
( ( skaf83(iPr_def_15) = sk6 )
| ~ frontsegP(iPr_def_15,iPr_def_14)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24918,c_21580]) ).
tcf(c_48292,plain,
( frontsegP(nil,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24918,c_21202]) ).
tcf(c_48293,plain,
( frontsegP(nil,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24918,c_21197]) ).
tcf(c_48296,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_15) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_15,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_24918,c_423]) ).
tcf(c_48297,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf82(iPr_def_15),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_15,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_24918,c_421]) ).
tcf(c_48298,plain,
! [X0: $i] :
( memberP(skaf82(iPr_def_15),X0)
| ( skaf83(iPr_def_15) = X0 )
| ~ ssItem(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ memberP(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_24918,c_408]) ).
tcf(c_48299,plain,
( leq(skaf83(iPr_def_15),hd(skaf82(iPr_def_15)))
| ( skaf82(iPr_def_15) = nil )
| ~ totalorderedP(iPr_def_15)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24918,c_382]) ).
tcf(c_48300,plain,
( lt(skaf83(iPr_def_15),hd(skaf82(iPr_def_15)))
| ( skaf82(iPr_def_15) = nil )
| ~ strictorderedP(iPr_def_15)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24918,c_381]) ).
tcf(c_48301,plain,
( totalorderedP(skaf82(iPr_def_15))
| ( skaf82(iPr_def_15) = nil )
| ~ totalorderedP(iPr_def_15)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24918,c_372]) ).
tcf(c_48302,plain,
( strictorderedP(skaf82(iPr_def_15))
| ( skaf82(iPr_def_15) = nil )
| ~ strictorderedP(iPr_def_15)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24918,c_371]) ).
tcf(c_48303,plain,
( ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ( skaf82(iPr_def_15) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24918,c_346]) ).
tcf(c_48305,plain,
! [X0: $i] :
( frontsegP(cons(skaf83(iPr_def_15),X0),iPr_def_15)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_24918,c_425]) ).
tcf(c_48306,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_15) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(app(X0,cons(X1,iPr_def_15)))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(iPr_def_15),skaf82(iPr_def_15))))) ),
inference(superposition,[status(thm)],[c_24918,c_427]) ).
tcf(c_48307,plain,
! [X0: $i,X1: $i] :
( ( skaf82(iPr_def_15) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ( cons(X0,X1) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24918,c_418]) ).
tcf(c_48308,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_15) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ( cons(X0,X1) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24918,c_417]) ).
tcf(c_48309,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_15) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(cons(X0,X1),iPr_def_15) ),
inference(superposition,[status(thm)],[c_24918,c_423]) ).
tcf(c_48310,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,skaf82(iPr_def_15))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(cons(X0,X1),iPr_def_15) ),
inference(superposition,[status(thm)],[c_24918,c_421]) ).
tcf(c_48311,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,cons(skaf83(iPr_def_15),X0))
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),X0) ),
inference(superposition,[status(thm)],[c_24918,c_425]) ).
tcf(c_48312,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ memberP(skaf82(iPr_def_15),X0) ),
inference(superposition,[status(thm)],[c_24918,c_386]) ).
tcf(c_48313,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ leq(X1,skaf83(iPr_def_15))
| ~ leq(skaf83(iPr_def_15),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(iPr_def_15),skaf82(iPr_def_15)))) ),
inference(superposition,[status(thm)],[c_24918,c_432]) ).
tcf(c_48314,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_15))
| leq(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(iPr_def_15),skaf82(iPr_def_15)))) ),
inference(superposition,[status(thm)],[c_24918,c_431]) ).
tcf(c_48315,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_15))
| lt(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(iPr_def_15),skaf82(iPr_def_15)))) ),
inference(superposition,[status(thm)],[c_24918,c_430]) ).
tcf(c_48316,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_15))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(iPr_def_15),skaf82(iPr_def_15)))) ),
inference(superposition,[status(thm)],[c_24918,c_429]) ).
tcf(c_48317,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_15))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(iPr_def_15),skaf82(iPr_def_15)))) ),
inference(superposition,[status(thm)],[c_24918,c_428]) ).
tcf(c_48318,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(app(app(X0,cons(skaf83(iPr_def_15),X1)),iPr_def_15))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(iPr_def_15),X1)),cons(skaf83(iPr_def_15),skaf82(iPr_def_15)))) ),
inference(superposition,[status(thm)],[c_24918,c_426]) ).
tcf(c_48319,plain,
memberP(iPr_def_15,skaf83(iPr_def_15)),
inference(forward_subsumption_resolution,[status(thm)],[c_48282,c_259,c_260]) ).
tcf(c_48320,plain,
skaf82(iPr_def_15) != iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_48303,c_259,c_260]) ).
tcf(c_48321,plain,
( frontsegP(nil,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48293,c_259,c_260]) ).
tcf(c_48324,plain,
( frontsegP(nil,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48292,c_259,c_260]) ).
tcf(c_48327,plain,
( ( skaf83(iPr_def_15) = sk6 )
| ~ frontsegP(iPr_def_15,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48291,c_259,c_260]) ).
tcf(c_48330,plain,
( ( skaf83(iPr_def_15) = sk5 )
| ~ frontsegP(iPr_def_15,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48290,c_259,c_260]) ).
tcf(c_48333,plain,
( ( skaf83(iPr_def_15) = sk6 )
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48289,c_259,c_260]) ).
tcf(c_48336,plain,
( ( skaf83(iPr_def_15) = sk5 )
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48288,c_259,c_260]) ).
tcf(c_48339,plain,
( ( skaf83(iPr_def_15) = sk6 )
| ( iPr_def_14 != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48287,c_259,c_260]) ).
tcf(c_48342,plain,
( ( skaf83(iPr_def_15) = sk5 )
| ( iPr_def_12 != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48286,c_259,c_260]) ).
tcf(c_48345,plain,
( ( skaf82(iPr_def_15) = nil )
| ( iPr_def_14 != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48285,c_259,c_260]) ).
tcf(c_48348,plain,
( ( skaf82(iPr_def_15) = nil )
| ( iPr_def_12 != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48284,c_259,c_260]) ).
tcf(c_48351,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ memberP(skaf82(iPr_def_15),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48312,c_259,c_260]) ).
tcf(c_48355,plain,
( strictorderedP(skaf82(iPr_def_15))
| ( skaf82(iPr_def_15) = nil )
| ~ strictorderedP(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48302,c_259,c_260]) ).
tcf(c_48359,plain,
( totalorderedP(skaf82(iPr_def_15))
| ( skaf82(iPr_def_15) = nil )
| ~ totalorderedP(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48301,c_259,c_260]) ).
tcf(c_48363,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,cons(skaf83(iPr_def_15),X0))
| ~ ssList(X0)
| ~ frontsegP(skaf82(iPr_def_15),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48311,c_259,c_260]) ).
tcf(c_48367,plain,
! [X0: $i] :
( frontsegP(cons(skaf83(iPr_def_15),X0),iPr_def_15)
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(iPr_def_15)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48305,c_259,c_260]) ).
tcf(c_48371,plain,
( lt(skaf83(iPr_def_15),hd(skaf82(iPr_def_15)))
| ( skaf82(iPr_def_15) = nil )
| ~ strictorderedP(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48300,c_259,c_260]) ).
tcf(c_48375,plain,
( leq(skaf83(iPr_def_15),hd(skaf82(iPr_def_15)))
| ( skaf82(iPr_def_15) = nil )
| ~ totalorderedP(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48299,c_259,c_260]) ).
tcf(c_48379,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,skaf82(iPr_def_15))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48310,c_259,c_260]) ).
tcf(c_48384,plain,
! [X0: $i] :
( memberP(skaf82(iPr_def_15),X0)
| ( skaf83(iPr_def_15) = X0 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48298,c_259,c_260]) ).
tcf(c_48389,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf82(iPr_def_15),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_15,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48297,c_259,c_260]) ).
tcf(c_48394,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_15) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48309,c_259,c_260]) ).
tcf(c_48399,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_15) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_15,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48296,c_259,c_260]) ).
tcf(c_48404,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_15) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48308,c_259,c_260]) ).
tcf(c_48409,plain,
! [X0: $i,X1: $i] :
( ( skaf82(iPr_def_15) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48307,c_259,c_260]) ).
tcf(c_48414,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_15),skaf83(iPr_def_15))
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(app(X0,iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_48281,c_24918]) ).
tcf(c_48415,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_15),skaf83(iPr_def_15))
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_15)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48414,c_259,c_260]) ).
tcf(c_48419,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_15) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_15)))
| ~ ssList(app(X0,cons(X1,iPr_def_15))) ),
inference(light_normalisation,[status(thm)],[c_48306,c_24918]) ).
tcf(c_48420,plain,
! [X0: $i,X1: $i] :
( ( skaf83(iPr_def_15) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ equalelemsP(app(X0,cons(X1,iPr_def_15)))
| ~ ssList(app(X0,cons(X1,iPr_def_15))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48419,c_259,c_260]) ).
tcf(c_48426,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(iPr_def_15),X1)),iPr_def_15))
| ~ ssList(app(app(X0,cons(skaf83(iPr_def_15),X1)),iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_48318,c_24918]) ).
tcf(c_48427,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(skaf83(iPr_def_15),X1)),iPr_def_15))
| ~ ssList(app(app(X0,cons(skaf83(iPr_def_15),X1)),iPr_def_15)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48426,c_259,c_260]) ).
tcf(c_48432,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ duplicatefreeP(app(app(X0,iPr_def_15),cons(skaf83(iPr_def_15),X1)))
| ~ ssList(app(app(X0,iPr_def_15),cons(skaf83(iPr_def_15),X1))) ),
inference(light_normalisation,[status(thm)],[c_48280,c_24918]) ).
tcf(c_48433,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_15),cons(skaf83(iPr_def_15),X1)))
| ~ ssList(app(app(X0,iPr_def_15),cons(skaf83(iPr_def_15),X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48432,c_259,c_260]) ).
tcf(c_48438,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_15))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_48317,c_24918]) ).
tcf(c_48439,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_15))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48438,c_259,c_260]) ).
tcf(c_48446,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_15))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_48316,c_24918]) ).
tcf(c_48447,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_15))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48446,c_259,c_260]) ).
tcf(c_48454,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ strictorderedP(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_48279,c_24918]) ).
tcf(c_48455,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderedP(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48454,c_259,c_260]) ).
tcf(c_48462,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ totalorderedP(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_48278,c_24918]) ).
tcf(c_48463,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderedP(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48462,c_259,c_260]) ).
tcf(c_48470,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_15))
| lt(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ strictorderP(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_48315,c_24918]) ).
tcf(c_48471,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_15))
| lt(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48470,c_259,c_260]) ).
tcf(c_48479,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_15))
| leq(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ totalorderP(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_48314,c_24918]) ).
tcf(c_48480,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_15))
| leq(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48479,c_259,c_260]) ).
tcf(c_48488,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_15))
| lt(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ strictorderP(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_48277,c_24918]) ).
tcf(c_48489,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,skaf83(iPr_def_15))
| lt(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ strictorderP(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48488,c_259,c_260]) ).
tcf(c_48497,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_15))
| leq(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ totalorderP(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_48276,c_24918]) ).
tcf(c_48498,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,skaf83(iPr_def_15))
| leq(skaf83(iPr_def_15),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ totalorderP(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48497,c_259,c_260]) ).
tcf(c_48506,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ leq(X1,skaf83(iPr_def_15))
| ~ leq(skaf83(iPr_def_15),X1)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_48313,c_24918]) ).
tcf(c_48507,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(iPr_def_15))
| ~ leq(skaf83(iPr_def_15),X1)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),iPr_def_15))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_15)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48506,c_259,c_260]) ).
tcf(c_48515,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(iPr_def_15))
| ~ ssList(skaf82(iPr_def_15))
| ~ leq(X1,skaf83(iPr_def_15))
| ~ leq(skaf83(iPr_def_15),X1)
| ~ cyclefreeP(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_48275,c_24918]) ).
tcf(c_48516,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(iPr_def_15))
| ~ leq(skaf83(iPr_def_15),X1)
| ~ cyclefreeP(app(app(X0,iPr_def_15),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_15),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48515,c_259,c_260]) ).
tcf(c_48773,plain,
( ( app(skaf42(iPr_def_15,skaf83(iPr_def_15)),cons(skaf83(iPr_def_15),skaf43(skaf83(iPr_def_15),iPr_def_15))) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssItem(skaf83(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_48319,c_416]) ).
tcf(c_48774,plain,
( memberP(iPr_def_16,skaf83(iPr_def_15))
| ~ ssItem(skaf83(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_48319,c_26677]) ).
tcf(c_48775,plain,
memberP(iPr_def_16,skaf83(iPr_def_15)),
inference(forward_subsumption_resolution,[status(thm)],[c_48774,c_259]) ).
tcf(c_48776,plain,
app(skaf42(iPr_def_15,skaf83(iPr_def_15)),cons(skaf83(iPr_def_15),skaf43(skaf83(iPr_def_15),iPr_def_15))) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_48773,c_24748,c_259]) ).
tcf(c_48790,plain,
( ( app(skaf42(iPr_def_16,skaf83(iPr_def_15)),cons(skaf83(iPr_def_15),skaf43(skaf83(iPr_def_15),iPr_def_16))) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssItem(skaf83(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_48775,c_416]) ).
tcf(c_48792,plain,
app(skaf42(iPr_def_16,skaf83(iPr_def_15)),cons(skaf83(iPr_def_15),skaf43(skaf83(iPr_def_15),iPr_def_16))) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_48790,c_9020,c_259]) ).
tcf(c_48799,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X1)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(X0,app(sk4,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_46627,c_399]) ).
tcf(c_48800,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk4,app(sk7,sk7)),X0),X0),skaf48(X0,app(sk4,app(sk7,sk7)))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk4,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_46627,c_415]) ).
tcf(c_48801,plain,
! [X0: $i] :
( ( app(sk4,app(sk7,sk7)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(X0,app(sk4,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_46627,c_374]) ).
tcf(c_48803,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk4,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_46627,c_28549]) ).
tcf(c_48804,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk4,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_46627,c_27097]) ).
tcf(c_48805,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk4,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_46627,c_27109]) ).
tcf(c_48806,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk7)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk4,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48805,c_24748]) ).
tcf(c_48810,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk7)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk4,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48804,c_9020]) ).
tcf(c_48814,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk8)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk4,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48803,c_9020]) ).
tcf(c_48851,plain,
! [X0: $i] :
( frontsegP(X0,app(sk4,sk7))
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ frontsegP(X0,app(sk4,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_46911,c_401]) ).
tcf(c_48852,plain,
( ( app(app(sk4,sk7),skaf45(app(sk4,app(sk7,sk8)),app(sk4,sk7))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_46911,c_379]) ).
tcf(c_48853,plain,
( ( app(sk4,app(sk7,sk8)) = app(sk4,sk7) )
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ frontsegP(app(sk4,sk7),app(sk4,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_46911,c_376]) ).
tcf(c_48871,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(X0,app(sk4,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_46932,c_399]) ).
tcf(c_48872,plain,
( ( app(app(skaf47(app(sk4,app(sk7,sk8)),sk7),sk7),skaf48(sk7,app(sk4,app(sk7,sk8)))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(sk7)
| ~ ssList(app(sk4,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_46932,c_415]) ).
tcf(c_48873,plain,
( ( app(sk4,app(sk7,sk8)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk4,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_46932,c_374]) ).
tcf(c_48874,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(X0,app(sk4,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48871,c_6483]) ).
tcf(c_48879,plain,
( ( app(sk4,app(sk7,sk8)) = sk7 )
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk4,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48873,c_6483]) ).
tcf(c_48883,plain,
( ( app(app(skaf47(app(sk4,app(sk7,sk8)),sk7),sk7),skaf48(sk7,app(sk4,app(sk7,sk8)))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48872,c_6483]) ).
tcf(c_48905,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X1)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(X0,app(sk4,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_46935,c_399]) ).
tcf(c_48906,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk4,app(sk7,sk8)),X0),X0),skaf48(X0,app(sk4,app(sk7,sk8)))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk4,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_46935,c_415]) ).
tcf(c_48907,plain,
! [X0: $i] :
( ( app(sk4,app(sk7,sk8)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(X0,app(sk4,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_46935,c_374]) ).
tcf(c_48909,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk4,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_46935,c_28549]) ).
tcf(c_48910,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk4,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_46935,c_27097]) ).
tcf(c_48911,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk4,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_46935,c_27109]) ).
tcf(c_48912,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk7)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk4,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48911,c_24748]) ).
tcf(c_48916,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk7)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk4,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48910,c_9020]) ).
tcf(c_48920,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk8)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk4,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48909,c_9020]) ).
tcf(c_49245,plain,
app(app(sk7,sk7),sk4) = app(sk7,app(sk7,sk4)),
inference(superposition,[status(thm)],[c_6486,c_45539]) ).
tcf(c_49246,plain,
app(app(sk7,sk7),sk7) = app(sk7,app(sk7,sk7)),
inference(superposition,[status(thm)],[c_6483,c_45539]) ).
tcf(c_49247,plain,
app(app(sk7,sk7),sk8) = app(sk7,app(sk7,sk8)),
inference(superposition,[status(thm)],[c_6482,c_45539]) ).
tcf(c_49248,plain,
app(app(sk7,sk7),nil) = app(sk7,app(sk7,nil)),
inference(superposition,[status(thm)],[c_255,c_45539]) ).
tcf(c_49249,plain,
! [X0: $i] : app(app(sk7,sk7),skaf82(X0)) = app(sk7,app(sk7,skaf82(X0))),
inference(superposition,[status(thm)],[c_260,c_45539]) ).
tcf(c_49250,plain,
! [X0: $i] : app(app(sk7,sk7),skaf81(X0)) = app(sk7,app(sk7,skaf81(X0))),
inference(superposition,[status(thm)],[c_261,c_45539]) ).
tcf(c_49251,plain,
! [X0: $i] : app(app(sk7,sk7),skaf80(X0)) = app(sk7,app(sk7,skaf80(X0))),
inference(superposition,[status(thm)],[c_262,c_45539]) ).
tcf(c_49252,plain,
! [X0: $i] : app(app(sk7,sk7),skaf77(X0)) = app(sk7,app(sk7,skaf77(X0))),
inference(superposition,[status(thm)],[c_265,c_45539]) ).
tcf(c_49253,plain,
! [X0: $i] : app(app(sk7,sk7),skaf76(X0)) = app(sk7,app(sk7,skaf76(X0))),
inference(superposition,[status(thm)],[c_266,c_45539]) ).
tcf(c_49254,plain,
! [X0: $i] : app(app(sk7,sk7),skaf75(X0)) = app(sk7,app(sk7,skaf75(X0))),
inference(superposition,[status(thm)],[c_267,c_45539]) ).
tcf(c_49255,plain,
! [X0: $i] : app(app(sk7,sk7),skaf73(X0)) = app(sk7,app(sk7,skaf73(X0))),
inference(superposition,[status(thm)],[c_269,c_45539]) ).
tcf(c_49256,plain,
! [X0: $i] : app(app(sk7,sk7),skaf72(X0)) = app(sk7,app(sk7,skaf72(X0))),
inference(superposition,[status(thm)],[c_270,c_45539]) ).
tcf(c_49257,plain,
! [X0: $i] : app(app(sk7,sk7),skaf71(X0)) = app(sk7,app(sk7,skaf71(X0))),
inference(superposition,[status(thm)],[c_271,c_45539]) ).
tcf(c_49258,plain,
! [X0: $i] : app(app(sk7,sk7),skaf68(X0)) = app(sk7,app(sk7,skaf68(X0))),
inference(superposition,[status(thm)],[c_274,c_45539]) ).
tcf(c_49259,plain,
! [X0: $i] : app(app(sk7,sk7),skaf67(X0)) = app(sk7,app(sk7,skaf67(X0))),
inference(superposition,[status(thm)],[c_275,c_45539]) ).
tcf(c_49260,plain,
! [X0: $i] : app(app(sk7,sk7),skaf66(X0)) = app(sk7,app(sk7,skaf66(X0))),
inference(superposition,[status(thm)],[c_276,c_45539]) ).
tcf(c_49261,plain,
! [X0: $i] : app(app(sk7,sk7),skaf63(X0)) = app(sk7,app(sk7,skaf63(X0))),
inference(superposition,[status(thm)],[c_279,c_45539]) ).
tcf(c_49262,plain,
! [X0: $i] : app(app(sk7,sk7),skaf62(X0)) = app(sk7,app(sk7,skaf62(X0))),
inference(superposition,[status(thm)],[c_280,c_45539]) ).
tcf(c_49263,plain,
! [X0: $i] : app(app(sk7,sk7),skaf61(X0)) = app(sk7,app(sk7,skaf61(X0))),
inference(superposition,[status(thm)],[c_281,c_45539]) ).
tcf(c_49264,plain,
! [X0: $i] : app(app(sk7,sk7),skaf58(X0)) = app(sk7,app(sk7,skaf58(X0))),
inference(superposition,[status(thm)],[c_284,c_45539]) ).
tcf(c_49265,plain,
! [X0: $i] : app(app(sk7,sk7),skaf57(X0)) = app(sk7,app(sk7,skaf57(X0))),
inference(superposition,[status(thm)],[c_285,c_45539]) ).
tcf(c_49266,plain,
! [X0: $i] : app(app(sk7,sk7),skaf56(X0)) = app(sk7,app(sk7,skaf56(X0))),
inference(superposition,[status(thm)],[c_286,c_45539]) ).
tcf(c_49267,plain,
! [X0: $i] : app(app(sk7,sk7),skaf53(X0)) = app(sk7,app(sk7,skaf53(X0))),
inference(superposition,[status(thm)],[c_289,c_45539]) ).
tcf(c_49268,plain,
! [X0: $i] : app(app(sk7,sk7),skaf52(X0)) = app(sk7,app(sk7,skaf52(X0))),
inference(superposition,[status(thm)],[c_290,c_45539]) ).
tcf(c_49269,plain,
! [X0: $i] : app(app(sk7,sk7),skaf51(X0)) = app(sk7,app(sk7,skaf51(X0))),
inference(superposition,[status(thm)],[c_291,c_45539]) ).
tcf(c_49270,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk7),skaf48(X0,X1)) = app(sk7,app(sk7,skaf48(X0,X1))),
inference(superposition,[status(thm)],[c_295,c_45539]) ).
tcf(c_49271,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk7),skaf47(X0,X1)) = app(sk7,app(sk7,skaf47(X0,X1))),
inference(superposition,[status(thm)],[c_296,c_45539]) ).
tcf(c_49272,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk7),skaf46(X0,X1)) = app(sk7,app(sk7,skaf46(X0,X1))),
inference(superposition,[status(thm)],[c_297,c_45539]) ).
tcf(c_49273,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk7),skaf45(X0,X1)) = app(sk7,app(sk7,skaf45(X0,X1))),
inference(superposition,[status(thm)],[c_298,c_45539]) ).
tcf(c_49274,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk7),skaf43(X0,X1)) = app(sk7,app(sk7,skaf43(X0,X1))),
inference(superposition,[status(thm)],[c_299,c_45539]) ).
tcf(c_49275,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk7),skaf42(X0,X1)) = app(sk7,app(sk7,skaf42(X0,X1))),
inference(superposition,[status(thm)],[c_300,c_45539]) ).
tcf(c_49276,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sk7,sk7),tl(X0)) = app(sk7,app(sk7,tl(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_45539]) ).
tcf(c_49277,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk7,sk7),app(X1,X0)) = app(sk7,app(sk7,app(X1,X0))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_45539]) ).
tcf(c_49278,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk7,sk7),cons(X1,X0)) = app(sk7,app(sk7,cons(X1,X0))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_45539]) ).
tcf(c_49279,plain,
app(app(sk7,sk7),iPr_def_16) = app(sk7,app(sk7,iPr_def_16)),
inference(superposition,[status(thm)],[c_9020,c_45539]) ).
tcf(c_49280,plain,
app(app(sk7,sk7),iPr_def_13) = app(sk7,app(sk7,iPr_def_13)),
inference(superposition,[status(thm)],[c_9527,c_45539]) ).
tcf(c_49281,plain,
app(app(sk7,sk7),iPr_def_12) = app(sk7,app(sk7,iPr_def_12)),
inference(superposition,[status(thm)],[c_9489,c_45539]) ).
tcf(c_49282,plain,
app(app(sk7,sk7),iPr_def_15) = app(sk7,app(sk7,iPr_def_15)),
inference(superposition,[status(thm)],[c_24748,c_45539]) ).
tcf(c_49283,plain,
app(app(sk7,sk7),iPr_def_14) = app(sk7,app(sk7,iPr_def_14)),
inference(superposition,[status(thm)],[c_9488,c_45539]) ).
tcf(c_49284,plain,
app(app(sk7,sk7),cons(sk6,sk4)) = app(sk7,app(sk7,cons(sk6,sk4))),
inference(superposition,[status(thm)],[c_28942,c_45539]) ).
tcf(c_49285,plain,
app(app(sk7,sk7),cons(sk6,sk7)) = app(sk7,app(sk7,cons(sk6,sk7))),
inference(superposition,[status(thm)],[c_28940,c_45539]) ).
tcf(c_49286,plain,
app(app(sk7,sk7),cons(sk6,sk8)) = app(sk7,app(sk7,cons(sk6,sk8))),
inference(superposition,[status(thm)],[c_28938,c_45539]) ).
tcf(c_49287,plain,
( ( app(app(sk7,sk7),app(sk4,app(sk4,sk4))) = app(sk7,app(sk7,app(sk4,app(sk4,sk4)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_45539]) ).
tcf(c_49288,plain,
( ( app(app(sk7,sk7),app(sk4,app(sk4,sk7))) = app(sk7,app(sk7,app(sk4,app(sk4,sk7)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_45539]) ).
tcf(c_49289,plain,
( ( app(app(sk7,sk7),app(sk4,app(sk4,sk8))) = app(sk7,app(sk7,app(sk4,app(sk4,sk8)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_45539]) ).
tcf(c_49290,plain,
( ( app(app(sk7,sk7),app(sk7,app(sk4,sk4))) = app(sk7,app(sk7,app(sk7,app(sk4,sk4)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_45539]) ).
tcf(c_49291,plain,
( ( app(app(sk7,sk7),app(sk7,app(sk4,sk7))) = app(sk7,app(sk7,app(sk7,app(sk4,sk7)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_45539]) ).
tcf(c_49292,plain,
( ( app(app(sk7,sk7),app(sk7,app(sk4,sk8))) = app(sk7,app(sk7,app(sk7,app(sk4,sk8)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_45539]) ).
tcf(c_49293,plain,
( ( app(app(sk7,sk7),app(sk8,app(sk4,sk4))) = app(sk7,app(sk7,app(sk8,app(sk4,sk4)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_45539]) ).
tcf(c_49294,plain,
( ( app(app(sk7,sk7),app(sk8,app(sk4,sk7))) = app(sk7,app(sk7,app(sk8,app(sk4,sk7)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_45539]) ).
tcf(c_49295,plain,
( ( app(app(sk7,sk7),app(sk8,app(sk4,sk8))) = app(sk7,app(sk7,app(sk8,app(sk4,sk8)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_45539]) ).
tcf(c_49296,plain,
( ( app(app(sk7,sk7),app(sk4,app(sk7,sk4))) = app(sk7,app(sk7,app(sk4,app(sk7,sk4)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_45539]) ).
tcf(c_49297,plain,
( ( app(app(sk7,sk7),app(sk4,app(sk7,sk7))) = app(sk7,app(sk7,app(sk4,app(sk7,sk7)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_45539]) ).
tcf(c_49298,plain,
( ( app(app(sk7,sk7),app(sk4,app(sk7,sk8))) = app(sk7,app(sk7,app(sk4,app(sk7,sk8)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_45539]) ).
tcf(c_49299,plain,
app(app(sk7,sk7),iPr_def_12) = app(sk7,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_49281,c_29639]) ).
tcf(c_49300,plain,
app(app(sk7,sk7),nil) = app(sk7,sk7),
inference(light_normalisation,[status(thm)],[c_49248,c_9102]) ).
tcf(c_49467,plain,
( ssList(app(sk7,app(sk7,sk4)))
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49245,c_332]) ).
tcf(c_49468,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk7,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(app(app(sk7,sk7),sk4),X0)) ),
inference(superposition,[status(thm)],[c_49245,c_420]) ).
tcf(c_49469,plain,
! [X0: $i] :
( ( app(sk7,sk7) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_49245,c_398]) ).
tcf(c_49471,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk7,sk7),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk7))
| ~ memberP(app(sk7,app(sk7,sk4)),X0) ),
inference(superposition,[status(thm)],[c_49245,c_405]) ).
tcf(c_49472,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_49245,c_366]) ).
tcf(c_49473,plain,
( ( app(sk7,sk7) = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_49245,c_365]) ).
tcf(c_49474,plain,
( frontsegP(app(sk7,app(sk7,sk4)),app(sk7,sk7))
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49245,c_808]) ).
tcf(c_49475,plain,
( rearsegP(app(sk7,app(sk7,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49245,c_807]) ).
tcf(c_49476,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49245,c_388]) ).
tcf(c_49477,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49245,c_383]) ).
tcf(c_49478,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ( app(app(sk7,sk7),X0) != app(sk7,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_49245,c_397]) ).
tcf(c_49479,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk7))
| ~ memberP(app(sk7,sk7),X0) ),
inference(superposition,[status(thm)],[c_49245,c_387]) ).
tcf(c_49480,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ frontsegP(app(sk7,sk7),X0) ),
inference(superposition,[status(thm)],[c_49245,c_384]) ).
tcf(c_49481,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk7,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49245,c_419]) ).
tcf(c_49482,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk7,sk4)),X0)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(superposition,[status(thm)],[c_49245,c_419]) ).
tcf(c_49483,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk7)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(app(sk7,sk7),sk4)) ),
inference(superposition,[status(thm)],[c_49245,c_420]) ).
tcf(c_49484,plain,
( ( app(sk7,sk7) = nil )
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_49245,c_17629]) ).
tcf(c_49485,plain,
( ssList(app(sk7,app(sk7,sk4)))
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49467,c_6486]) ).
tcf(c_49488,plain,
( rearsegP(app(sk7,app(sk7,sk4)),sk4)
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49475,c_6486]) ).
tcf(c_49491,plain,
( frontsegP(app(sk7,app(sk7,sk4)),app(sk7,sk7))
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49474,c_6486]) ).
tcf(c_49497,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk7)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(sk7,app(sk7,sk4))) ),
inference(light_normalisation,[status(thm)],[c_49483,c_49245]) ).
tcf(c_49498,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk7)
| ~ ssList(app(sk7,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49497,c_6483,c_6486]) ).
tcf(c_49501,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk7,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49482,c_6483,c_6486]) ).
tcf(c_49505,plain,
( ( sk4 = nil )
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49472,c_6486]) ).
tcf(c_49509,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk7,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49477,c_6486]) ).
tcf(c_49514,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk7,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49476,c_6486]) ).
tcf(c_49519,plain,
( ( app(sk7,sk7) = nil )
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49473,c_6486]) ).
tcf(c_49523,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk7,sk4)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ frontsegP(app(sk7,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49480,c_6486]) ).
tcf(c_49528,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk7,sk4)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk7))
| ~ memberP(app(sk7,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49479,c_6486]) ).
tcf(c_49533,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk7,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49481,c_6486]) ).
tcf(c_49539,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk7,sk7),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk7))
| ~ memberP(app(sk7,app(sk7,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49471,c_6486]) ).
tcf(c_49545,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ( app(app(sk7,sk7),X0) != app(sk7,app(sk7,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49478,c_6486]) ).
tcf(c_49550,plain,
! [X0: $i] :
( ( app(sk7,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49469,c_6486]) ).
tcf(c_49555,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk7,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(app(sk7,app(sk7,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_49468,c_49245]) ).
tcf(c_49556,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk7,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(app(sk7,app(sk7,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49555,c_6486]) ).
tcf(c_49575,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk7,sk4)),sk7),X0) = app(app(sk7,app(sk7,sk4)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_16216]) ).
tcf(c_49576,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk7,sk4)),sk4),X0) = app(app(sk7,app(sk7,sk4)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_16215]) ).
tcf(c_49577,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk7,app(sk7,sk4)))) = app(cons(X1,X0),app(sk7,app(sk7,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_404]) ).
tcf(c_49578,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk7,app(sk7,sk4))),X0) = app(X1,app(app(sk7,app(sk7,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_396]) ).
tcf(c_49579,plain,
! [X0: $i] :
( ( app(sk7,app(sk7,sk4)) = nil )
| ( app(tl(app(sk7,app(sk7,sk4))),X0) = tl(app(app(sk7,app(sk7,sk4)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_380]) ).
tcf(c_49580,plain,
! [X0: $i] :
( ( app(sk7,app(sk7,sk4)) = nil )
| ( hd(app(app(sk7,app(sk7,sk4)),X0)) = hd(app(sk7,app(sk7,sk4))) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_370]) ).
tcf(c_49581,plain,
( ( app(app(sk7,sk7),app(sk7,app(sk7,sk4))) = app(sk7,app(sk7,app(sk7,app(sk7,sk4)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_45539]) ).
tcf(c_49582,plain,
( ( app(app(sk4,sk7),app(sk7,app(sk7,sk4))) = app(sk4,app(sk7,app(sk7,app(sk7,sk4)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_45538]) ).
tcf(c_49583,plain,
( ( app(app(sk8,sk4),app(sk7,app(sk7,sk4))) = app(sk8,app(sk4,app(sk7,app(sk7,sk4)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_37633]) ).
tcf(c_49584,plain,
( ( app(app(sk7,sk4),app(sk7,app(sk7,sk4))) = app(sk7,app(sk4,app(sk7,app(sk7,sk4)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_37632]) ).
tcf(c_49585,plain,
( ( app(app(sk4,sk4),app(sk7,app(sk7,sk4))) = app(sk4,app(sk4,app(sk7,app(sk7,sk4)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_37631]) ).
tcf(c_49586,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk7,app(sk7,sk4))) = tl(app(sk8,app(sk7,app(sk7,sk4)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_14611]) ).
tcf(c_49587,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk7,app(sk7,sk4))) = tl(app(sk7,app(sk7,app(sk7,sk4)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_14610]) ).
tcf(c_49588,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk7,app(sk7,sk4))) = tl(app(sk4,app(sk7,app(sk7,sk4)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_14609]) ).
tcf(c_49589,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk7,app(sk7,sk4)))) = hd(sk8) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_11903]) ).
tcf(c_49590,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk7,app(sk7,sk4)))) = hd(sk7) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_11902]) ).
tcf(c_49591,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk7,app(sk7,sk4)))) = hd(sk4) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_11901]) ).
tcf(c_49592,plain,
( cyclefreeP(app(sk7,app(sk7,sk4)))
| ( app(app(skaf51(app(sk7,app(sk7,sk4))),cons(skaf49(app(sk7,app(sk7,sk4))),skaf52(app(sk7,app(sk7,sk4))))),cons(skaf50(app(sk7,app(sk7,sk4))),skaf53(app(sk7,app(sk7,sk4))))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_414]) ).
tcf(c_49593,plain,
( totalorderP(app(sk7,app(sk7,sk4)))
| ( app(app(skaf56(app(sk7,app(sk7,sk4))),cons(skaf54(app(sk7,app(sk7,sk4))),skaf57(app(sk7,app(sk7,sk4))))),cons(skaf55(app(sk7,app(sk7,sk4))),skaf58(app(sk7,app(sk7,sk4))))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_413]) ).
tcf(c_49594,plain,
( strictorderP(app(sk7,app(sk7,sk4)))
| ( app(app(skaf61(app(sk7,app(sk7,sk4))),cons(skaf59(app(sk7,app(sk7,sk4))),skaf62(app(sk7,app(sk7,sk4))))),cons(skaf60(app(sk7,app(sk7,sk4))),skaf63(app(sk7,app(sk7,sk4))))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_412]) ).
tcf(c_49595,plain,
( totalorderedP(app(sk7,app(sk7,sk4)))
| ( app(app(skaf66(app(sk7,app(sk7,sk4))),cons(skaf64(app(sk7,app(sk7,sk4))),skaf67(app(sk7,app(sk7,sk4))))),cons(skaf65(app(sk7,app(sk7,sk4))),skaf68(app(sk7,app(sk7,sk4))))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_411]) ).
tcf(c_49596,plain,
( strictorderedP(app(sk7,app(sk7,sk4)))
| ( app(app(skaf71(app(sk7,app(sk7,sk4))),cons(skaf69(app(sk7,app(sk7,sk4))),skaf72(app(sk7,app(sk7,sk4))))),cons(skaf70(app(sk7,app(sk7,sk4))),skaf73(app(sk7,app(sk7,sk4))))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_410]) ).
tcf(c_49597,plain,
( duplicatefreeP(app(sk7,app(sk7,sk4)))
| ( app(app(skaf75(app(sk7,app(sk7,sk4))),cons(skaf74(app(sk7,app(sk7,sk4))),skaf76(app(sk7,app(sk7,sk4))))),cons(skaf74(app(sk7,app(sk7,sk4))),skaf77(app(sk7,app(sk7,sk4))))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_409]) ).
tcf(c_49598,plain,
( equalelemsP(app(sk7,app(sk7,sk4)))
| ( app(skaf80(app(sk7,app(sk7,sk4))),cons(skaf78(app(sk7,app(sk7,sk4))),cons(skaf79(app(sk7,app(sk7,sk4))),skaf81(app(sk7,app(sk7,sk4)))))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_389]) ).
tcf(c_49599,plain,
( ( hd(cons(sk6,app(sk7,app(sk7,sk4)))) = sk6 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_10017]) ).
tcf(c_49600,plain,
( ( app(sk7,app(sk7,sk4)) = nil )
| ( cons(skaf83(app(sk7,app(sk7,sk4))),skaf82(app(sk7,app(sk7,sk4)))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_356]) ).
tcf(c_49601,plain,
( ( app(sk7,app(sk7,sk4)) = nil )
| ( cons(hd(app(sk7,app(sk7,sk4))),tl(app(sk7,app(sk7,sk4)))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_351]) ).
tcf(c_49602,plain,
( ( hd(cons(sk5,app(sk7,app(sk7,sk4)))) = sk5 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_10016]) ).
tcf(c_49603,plain,
( ( tl(cons(sk6,app(sk7,app(sk7,sk4)))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_9887]) ).
tcf(c_49604,plain,
( ( tl(cons(sk5,app(sk7,app(sk7,sk4)))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_9886]) ).
tcf(c_49605,plain,
( duplicatefreeP(app(sk7,app(sk7,sk4)))
| ~ iPr_def_11
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_6471]) ).
tcf(c_49606,plain,
( ( app(nil,app(sk7,app(sk7,sk4))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_321]) ).
tcf(c_49607,plain,
( ( app(app(sk7,app(sk7,sk4)),nil) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_320]) ).
tcf(c_50048,plain,
( ssList(app(sk7,app(sk7,sk7)))
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49246,c_332]) ).
tcf(c_50049,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk7,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(app(app(sk7,sk7),sk7),X0)) ),
inference(superposition,[status(thm)],[c_49246,c_420]) ).
tcf(c_50050,plain,
! [X0: $i] :
( ( app(sk7,sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_49246,c_398]) ).
tcf(c_50052,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk7,sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk7))
| ~ memberP(app(sk7,app(sk7,sk7)),X0) ),
inference(superposition,[status(thm)],[c_49246,c_405]) ).
tcf(c_50053,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_49246,c_366]) ).
tcf(c_50054,plain,
( ( app(sk7,sk7) = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_49246,c_365]) ).
tcf(c_50055,plain,
( frontsegP(app(sk7,app(sk7,sk7)),app(sk7,sk7))
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49246,c_808]) ).
tcf(c_50056,plain,
( rearsegP(app(sk7,app(sk7,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49246,c_807]) ).
tcf(c_50057,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49246,c_388]) ).
tcf(c_50058,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49246,c_383]) ).
tcf(c_50059,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ( app(app(sk7,sk7),X0) != app(sk7,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_49246,c_397]) ).
tcf(c_50060,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk7))
| ~ memberP(app(sk7,sk7),X0) ),
inference(superposition,[status(thm)],[c_49246,c_387]) ).
tcf(c_50061,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ frontsegP(app(sk7,sk7),X0) ),
inference(superposition,[status(thm)],[c_49246,c_384]) ).
tcf(c_50062,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk7,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49246,c_419]) ).
tcf(c_50063,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(superposition,[status(thm)],[c_49246,c_419]) ).
tcf(c_50064,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(app(app(sk7,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_49246,c_420]) ).
tcf(c_50065,plain,
( ( app(sk7,sk7) = nil )
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_49246,c_17625]) ).
tcf(c_50066,plain,
( ssList(app(sk7,app(sk7,sk7)))
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50048,c_6483]) ).
tcf(c_50069,plain,
( rearsegP(app(sk7,app(sk7,sk7)),sk7)
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50056,c_6483]) ).
tcf(c_50072,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk7,sk7))) ),
inference(light_normalisation,[status(thm)],[c_50064,c_49246]) ).
tcf(c_50073,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk7)
| ~ ssList(app(sk7,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50072,c_6483]) ).
tcf(c_50076,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk7,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50063,c_6483]) ).
tcf(c_50080,plain,
( frontsegP(app(sk7,app(sk7,sk7)),app(sk7,sk7))
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50055,c_6483]) ).
tcf(c_50086,plain,
( ( sk7 = nil )
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50053,c_6483]) ).
tcf(c_50090,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk7,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50058,c_6483]) ).
tcf(c_50095,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk7,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50057,c_6483]) ).
tcf(c_50100,plain,
( ( app(sk7,sk7) = nil )
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50054,c_6483]) ).
tcf(c_50104,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk7,sk7)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ frontsegP(app(sk7,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50061,c_6483]) ).
tcf(c_50109,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk7,sk7)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk7))
| ~ memberP(app(sk7,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50060,c_6483]) ).
tcf(c_50114,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk7,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50062,c_6483]) ).
tcf(c_50120,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk7,sk7),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk7))
| ~ memberP(app(sk7,app(sk7,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50052,c_6483]) ).
tcf(c_50126,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ( app(app(sk7,sk7),X0) != app(sk7,app(sk7,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50059,c_6483]) ).
tcf(c_50131,plain,
! [X0: $i] :
( ( app(sk7,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50050,c_6483]) ).
tcf(c_50136,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk7,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(app(sk7,app(sk7,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_50049,c_49246]) ).
tcf(c_50137,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk7,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(app(sk7,app(sk7,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50136,c_6483]) ).
tcf(c_50152,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf66(X0)) = nil )
| ( cons(sk5,skaf66(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf66(X0)))
| ( skaf66(X0) != tl(X1) )
| ( hd(cons(sk5,skaf66(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10196,c_424]) ).
tcf(c_50155,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf66(X0)) = nil )
| ( cons(sk5,skaf66(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf66(X0)))
| ( hd(X1) != sk5 )
| ( skaf66(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_50152,c_10664]) ).
tcf(c_50165,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),iPr_def_15)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_15,iPr_def_15))
| ~ ssList(app(app(skaf46(iPr_def_15,iPr_def_15),iPr_def_15),X0)) ),
inference(superposition,[status(thm)],[c_25107,c_420]) ).
tcf(c_50166,plain,
! [X0: $i] :
( ( skaf46(iPr_def_15,iPr_def_15) = X0 )
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_15,iPr_def_15))
| ( app(X0,iPr_def_15) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25107,c_398]) ).
tcf(c_50171,plain,
( frontsegP(iPr_def_15,skaf46(iPr_def_15,iPr_def_15))
| ~ ssList(iPr_def_15)
| ~ ssList(skaf46(iPr_def_15,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_25107,c_808]) ).
tcf(c_50175,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_15,iPr_def_15))
| ( app(skaf46(iPr_def_15,iPr_def_15),X0) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25107,c_397]) ).
tcf(c_50176,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssList(iPr_def_15)
| ~ ssItem(X0)
| ~ ssList(skaf46(iPr_def_15,iPr_def_15))
| ~ memberP(skaf46(iPr_def_15,iPr_def_15),X0) ),
inference(superposition,[status(thm)],[c_25107,c_387]) ).
tcf(c_50177,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,X0)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_15,iPr_def_15))
| ~ frontsegP(skaf46(iPr_def_15,iPr_def_15),X0) ),
inference(superposition,[status(thm)],[c_25107,c_384]) ).
tcf(c_50178,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_15,X1),X0)
| ~ ssList(iPr_def_15)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_15,X0)
| ~ ssList(skaf46(iPr_def_15,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_25107,c_419]) ).
tcf(c_50179,plain,
frontsegP(iPr_def_15,skaf46(iPr_def_15,iPr_def_15)),
inference(forward_subsumption_resolution,[status(thm)],[c_50171,c_24748,c_297]) ).
tcf(c_50180,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(iPr_def_15,iPr_def_15),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50177,c_24748,c_297]) ).
tcf(c_50184,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(iPr_def_15,iPr_def_15),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50176,c_24748,c_297]) ).
tcf(c_50189,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ~ ssList(X0)
| ( app(skaf46(iPr_def_15,iPr_def_15),X0) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50175,c_24748,c_297]) ).
tcf(c_50193,plain,
! [X0: $i] :
( ( skaf46(iPr_def_15,iPr_def_15) = X0 )
| ~ ssList(X0)
| ( app(X0,iPr_def_15) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50166,c_24748,c_297]) ).
tcf(c_50197,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),iPr_def_15)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ ssList(skaf46(iPr_def_15,iPr_def_15))
| ~ ssList(app(iPr_def_15,X0)) ),
inference(light_normalisation,[status(thm)],[c_50165,c_25107]) ).
tcf(c_50251,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_15,iPr_def_15))
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_15)
| ~ ssList(skaf46(iPr_def_15,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_50179,c_401]) ).
tcf(c_50252,plain,
( ( app(skaf46(iPr_def_15,iPr_def_15),skaf45(iPr_def_15,skaf46(iPr_def_15,iPr_def_15))) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(skaf46(iPr_def_15,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_50179,c_379]) ).
tcf(c_50253,plain,
( ( skaf46(iPr_def_15,iPr_def_15) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(skaf46(iPr_def_15,iPr_def_15))
| ~ frontsegP(skaf46(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_50179,c_376]) ).
tcf(c_50254,plain,
( frontsegP(iPr_def_16,skaf46(iPr_def_15,iPr_def_15))
| ~ ssList(skaf46(iPr_def_15,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_50179,c_26179]) ).
tcf(c_50255,plain,
frontsegP(iPr_def_16,skaf46(iPr_def_15,iPr_def_15)),
inference(forward_subsumption_resolution,[status(thm)],[c_50254,c_297]) ).
tcf(c_50256,plain,
( ( skaf46(iPr_def_15,iPr_def_15) = iPr_def_15 )
| ~ frontsegP(skaf46(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50253,c_24748,c_297]) ).
tcf(c_50259,plain,
app(skaf46(iPr_def_15,iPr_def_15),skaf45(iPr_def_15,skaf46(iPr_def_15,iPr_def_15))) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_50252,c_24748,c_297]) ).
tcf(c_50260,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_15,iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50251,c_24748,c_297]) ).
tcf(c_50264,plain,
skaf45(iPr_def_15,nil) = iPr_def_15,
inference(demodulation,[status(thm)],[c_25112,c_9224]) ).
tcf(c_50273,plain,
skaf46(iPr_def_15,nil) = iPr_def_15,
inference(demodulation,[status(thm)],[c_25960,c_9128]) ).
tcf(c_50282,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_15,iPr_def_15))
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16)
| ~ ssList(skaf46(iPr_def_15,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_50255,c_401]) ).
tcf(c_50283,plain,
( ( app(skaf46(iPr_def_15,iPr_def_15),skaf45(iPr_def_16,skaf46(iPr_def_15,iPr_def_15))) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf46(iPr_def_15,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_50255,c_379]) ).
tcf(c_50284,plain,
( ( skaf46(iPr_def_15,iPr_def_15) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf46(iPr_def_15,iPr_def_15))
| ~ frontsegP(skaf46(iPr_def_15,iPr_def_15),iPr_def_16) ),
inference(superposition,[status(thm)],[c_50255,c_376]) ).
tcf(c_50285,plain,
( ( skaf46(iPr_def_15,iPr_def_15) = iPr_def_16 )
| ~ frontsegP(skaf46(iPr_def_15,iPr_def_15),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50284,c_9020,c_297]) ).
tcf(c_50288,plain,
app(skaf46(iPr_def_15,iPr_def_15),skaf45(iPr_def_16,skaf46(iPr_def_15,iPr_def_15))) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_50283,c_9020,c_297]) ).
tcf(c_50289,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_15,iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50282,c_9020,c_297]) ).
tcf(c_50295,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),skaf45(iPr_def_15,iPr_def_15))
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_15,iPr_def_15))
| ~ ssList(app(app(iPr_def_15,skaf45(iPr_def_15,iPr_def_15)),X0)) ),
inference(superposition,[status(thm)],[c_25965,c_420]) ).
tcf(c_50296,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_15,iPr_def_15))
| ( app(X0,skaf45(iPr_def_15,iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25965,c_398]) ).
tcf(c_50302,plain,
( rearsegP(iPr_def_15,skaf45(iPr_def_15,iPr_def_15))
| ~ ssList(iPr_def_15)
| ~ ssList(skaf45(iPr_def_15,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_25965,c_807]) ).
tcf(c_50303,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssList(iPr_def_15)
| ~ ssItem(X0)
| ~ ssList(skaf45(iPr_def_15,iPr_def_15))
| ~ memberP(skaf45(iPr_def_15,iPr_def_15),X0) ),
inference(superposition,[status(thm)],[c_25965,c_388]) ).
tcf(c_50304,plain,
! [X0: $i] :
( rearsegP(iPr_def_15,X0)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_15,iPr_def_15))
| ~ rearsegP(skaf45(iPr_def_15,iPr_def_15),X0) ),
inference(superposition,[status(thm)],[c_25965,c_383]) ).
tcf(c_50305,plain,
! [X0: $i] :
( ( skaf45(iPr_def_15,iPr_def_15) = X0 )
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_15,iPr_def_15))
| ( app(iPr_def_15,X0) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25965,c_397]) ).
tcf(c_50308,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_15,X1),X0)
| ~ ssList(iPr_def_15)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_15,iPr_def_15))
| ~ segmentP(skaf45(iPr_def_15,iPr_def_15),X0) ),
inference(superposition,[status(thm)],[c_25965,c_419]) ).
tcf(c_50310,plain,
rearsegP(iPr_def_15,skaf45(iPr_def_15,iPr_def_15)),
inference(forward_subsumption_resolution,[status(thm)],[c_50302,c_24748,c_298]) ).
tcf(c_50311,plain,
! [X0: $i] :
( rearsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(iPr_def_15,iPr_def_15),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50304,c_24748,c_298]) ).
tcf(c_50315,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(iPr_def_15,iPr_def_15),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50303,c_24748,c_298]) ).
tcf(c_50319,plain,
! [X0: $i] :
( ( skaf45(iPr_def_15,iPr_def_15) = X0 )
| ~ ssList(X0)
| ( app(iPr_def_15,X0) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50305,c_24748,c_298]) ).
tcf(c_50323,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ~ ssList(X0)
| ( app(X0,skaf45(iPr_def_15,iPr_def_15)) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50296,c_24748,c_298]) ).
tcf(c_50327,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_15,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(iPr_def_15,iPr_def_15),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50308,c_24748,c_298]) ).
tcf(c_50332,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),skaf45(iPr_def_15,iPr_def_15))
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_15,iPr_def_15))
| ~ ssList(app(iPr_def_15,X0)) ),
inference(light_normalisation,[status(thm)],[c_50295,c_25965]) ).
tcf(c_50333,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),skaf45(iPr_def_15,iPr_def_15))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50332,c_24748,c_298]) ).
tcf(c_50341,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_15,iPr_def_15))
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_15)
| ~ ssList(skaf45(iPr_def_15,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_50310,c_400]) ).
tcf(c_50342,plain,
( ( app(skaf46(iPr_def_15,skaf45(iPr_def_15,iPr_def_15)),skaf45(iPr_def_15,iPr_def_15)) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(skaf45(iPr_def_15,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_50310,c_378]) ).
tcf(c_50343,plain,
( ( skaf45(iPr_def_15,iPr_def_15) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(skaf45(iPr_def_15,iPr_def_15))
| ~ rearsegP(skaf45(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_50310,c_375]) ).
tcf(c_50344,plain,
( ( skaf45(iPr_def_15,iPr_def_15) = iPr_def_15 )
| ~ rearsegP(skaf45(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50343,c_24748,c_298]) ).
tcf(c_50347,plain,
app(skaf46(iPr_def_15,skaf45(iPr_def_15,iPr_def_15)),skaf45(iPr_def_15,iPr_def_15)) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_50342,c_24748,c_298]) ).
tcf(c_50348,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_15,iPr_def_15))
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50341,c_24748,c_298]) ).
tcf(c_50368,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk7,sk7)),sk7),X0) = app(app(sk7,app(sk7,sk7)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_16216]) ).
tcf(c_50369,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk7,sk7)),sk4),X0) = app(app(sk7,app(sk7,sk7)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_16215]) ).
tcf(c_50370,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk7,app(sk7,sk7)))) = app(cons(X1,X0),app(sk7,app(sk7,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_404]) ).
tcf(c_50371,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk7,app(sk7,sk7))),X0) = app(X1,app(app(sk7,app(sk7,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_396]) ).
tcf(c_50372,plain,
! [X0: $i] :
( ( app(sk7,app(sk7,sk7)) = nil )
| ( app(tl(app(sk7,app(sk7,sk7))),X0) = tl(app(app(sk7,app(sk7,sk7)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_380]) ).
tcf(c_50373,plain,
! [X0: $i] :
( ( app(sk7,app(sk7,sk7)) = nil )
| ( hd(app(app(sk7,app(sk7,sk7)),X0)) = hd(app(sk7,app(sk7,sk7))) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_370]) ).
tcf(c_50374,plain,
( ( app(app(sk7,sk7),app(sk7,app(sk7,sk7))) = app(sk7,app(sk7,app(sk7,app(sk7,sk7)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_45539]) ).
tcf(c_50375,plain,
( ( app(app(sk4,sk7),app(sk7,app(sk7,sk7))) = app(sk4,app(sk7,app(sk7,app(sk7,sk7)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_45538]) ).
tcf(c_50376,plain,
( ( app(app(sk8,sk4),app(sk7,app(sk7,sk7))) = app(sk8,app(sk4,app(sk7,app(sk7,sk7)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_37633]) ).
tcf(c_50377,plain,
( ( app(app(sk7,sk4),app(sk7,app(sk7,sk7))) = app(sk7,app(sk4,app(sk7,app(sk7,sk7)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_37632]) ).
tcf(c_50378,plain,
( ( app(app(sk4,sk4),app(sk7,app(sk7,sk7))) = app(sk4,app(sk4,app(sk7,app(sk7,sk7)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_37631]) ).
tcf(c_50379,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk7,app(sk7,sk7))) = tl(app(sk8,app(sk7,app(sk7,sk7)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_14611]) ).
tcf(c_50380,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk7,app(sk7,sk7))) = tl(app(sk7,app(sk7,app(sk7,sk7)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_14610]) ).
tcf(c_50381,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk7,app(sk7,sk7))) = tl(app(sk4,app(sk7,app(sk7,sk7)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_14609]) ).
tcf(c_50382,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk7,app(sk7,sk7)))) = hd(sk8) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_11903]) ).
tcf(c_50383,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk7,app(sk7,sk7)))) = hd(sk7) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_11902]) ).
tcf(c_50384,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk7,app(sk7,sk7)))) = hd(sk4) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_11901]) ).
tcf(c_50385,plain,
( cyclefreeP(app(sk7,app(sk7,sk7)))
| ( app(app(skaf51(app(sk7,app(sk7,sk7))),cons(skaf49(app(sk7,app(sk7,sk7))),skaf52(app(sk7,app(sk7,sk7))))),cons(skaf50(app(sk7,app(sk7,sk7))),skaf53(app(sk7,app(sk7,sk7))))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_414]) ).
tcf(c_50386,plain,
( totalorderP(app(sk7,app(sk7,sk7)))
| ( app(app(skaf56(app(sk7,app(sk7,sk7))),cons(skaf54(app(sk7,app(sk7,sk7))),skaf57(app(sk7,app(sk7,sk7))))),cons(skaf55(app(sk7,app(sk7,sk7))),skaf58(app(sk7,app(sk7,sk7))))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_413]) ).
tcf(c_50387,plain,
( strictorderP(app(sk7,app(sk7,sk7)))
| ( app(app(skaf61(app(sk7,app(sk7,sk7))),cons(skaf59(app(sk7,app(sk7,sk7))),skaf62(app(sk7,app(sk7,sk7))))),cons(skaf60(app(sk7,app(sk7,sk7))),skaf63(app(sk7,app(sk7,sk7))))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_412]) ).
tcf(c_50388,plain,
( totalorderedP(app(sk7,app(sk7,sk7)))
| ( app(app(skaf66(app(sk7,app(sk7,sk7))),cons(skaf64(app(sk7,app(sk7,sk7))),skaf67(app(sk7,app(sk7,sk7))))),cons(skaf65(app(sk7,app(sk7,sk7))),skaf68(app(sk7,app(sk7,sk7))))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_411]) ).
tcf(c_50389,plain,
( strictorderedP(app(sk7,app(sk7,sk7)))
| ( app(app(skaf71(app(sk7,app(sk7,sk7))),cons(skaf69(app(sk7,app(sk7,sk7))),skaf72(app(sk7,app(sk7,sk7))))),cons(skaf70(app(sk7,app(sk7,sk7))),skaf73(app(sk7,app(sk7,sk7))))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_410]) ).
tcf(c_50390,plain,
( duplicatefreeP(app(sk7,app(sk7,sk7)))
| ( app(app(skaf75(app(sk7,app(sk7,sk7))),cons(skaf74(app(sk7,app(sk7,sk7))),skaf76(app(sk7,app(sk7,sk7))))),cons(skaf74(app(sk7,app(sk7,sk7))),skaf77(app(sk7,app(sk7,sk7))))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_409]) ).
tcf(c_50391,plain,
( equalelemsP(app(sk7,app(sk7,sk7)))
| ( app(skaf80(app(sk7,app(sk7,sk7))),cons(skaf78(app(sk7,app(sk7,sk7))),cons(skaf79(app(sk7,app(sk7,sk7))),skaf81(app(sk7,app(sk7,sk7)))))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_389]) ).
tcf(c_50392,plain,
( ( hd(cons(sk6,app(sk7,app(sk7,sk7)))) = sk6 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_10017]) ).
tcf(c_50393,plain,
( ( app(sk7,app(sk7,sk7)) = nil )
| ( cons(skaf83(app(sk7,app(sk7,sk7))),skaf82(app(sk7,app(sk7,sk7)))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_356]) ).
tcf(c_50394,plain,
( ( app(sk7,app(sk7,sk7)) = nil )
| ( cons(hd(app(sk7,app(sk7,sk7))),tl(app(sk7,app(sk7,sk7)))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_351]) ).
tcf(c_50395,plain,
( ( hd(cons(sk5,app(sk7,app(sk7,sk7)))) = sk5 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_10016]) ).
tcf(c_50396,plain,
( ( tl(cons(sk6,app(sk7,app(sk7,sk7)))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_9887]) ).
tcf(c_50397,plain,
( ( tl(cons(sk5,app(sk7,app(sk7,sk7)))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_9886]) ).
tcf(c_50398,plain,
( duplicatefreeP(app(sk7,app(sk7,sk7)))
| ~ iPr_def_11
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_6471]) ).
tcf(c_50399,plain,
( ( app(nil,app(sk7,app(sk7,sk7))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_321]) ).
tcf(c_50400,plain,
( ( app(app(sk7,app(sk7,sk7)),nil) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_320]) ).
tcf(c_50605,plain,
( ssList(app(sk7,app(sk7,sk8)))
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49247,c_332]) ).
tcf(c_50606,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk7,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(app(app(sk7,sk7),sk8),X0)) ),
inference(superposition,[status(thm)],[c_49247,c_420]) ).
tcf(c_50607,plain,
! [X0: $i] :
( ( app(sk7,sk7) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk8)) != app(X0,sk8) ) ),
inference(superposition,[status(thm)],[c_49247,c_398]) ).
tcf(c_50609,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk7,sk7),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk7))
| ~ memberP(app(sk7,app(sk7,sk8)),X0) ),
inference(superposition,[status(thm)],[c_49247,c_405]) ).
tcf(c_50610,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_49247,c_366]) ).
tcf(c_50611,plain,
( ( app(sk7,sk7) = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_49247,c_365]) ).
tcf(c_50612,plain,
( frontsegP(app(sk7,app(sk7,sk8)),app(sk7,sk7))
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49247,c_808]) ).
tcf(c_50613,plain,
( rearsegP(app(sk7,app(sk7,sk8)),sk8)
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49247,c_807]) ).
tcf(c_50614,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk7,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49247,c_388]) ).
tcf(c_50615,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk7,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49247,c_383]) ).
tcf(c_50616,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ( app(app(sk7,sk7),X0) != app(sk7,app(sk7,sk8)) ) ),
inference(superposition,[status(thm)],[c_49247,c_397]) ).
tcf(c_50617,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk7,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk7))
| ~ memberP(app(sk7,sk7),X0) ),
inference(superposition,[status(thm)],[c_49247,c_387]) ).
tcf(c_50618,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk7,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ frontsegP(app(sk7,sk7),X0) ),
inference(superposition,[status(thm)],[c_49247,c_384]) ).
tcf(c_50619,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk7,sk8)),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49247,c_419]) ).
tcf(c_50620,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk7,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(superposition,[status(thm)],[c_49247,c_419]) ).
tcf(c_50621,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk7)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(app(app(sk7,sk7),sk8)) ),
inference(superposition,[status(thm)],[c_49247,c_420]) ).
tcf(c_50622,plain,
( ( app(sk7,sk7) = nil )
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk8)) != sk8 ) ),
inference(superposition,[status(thm)],[c_49247,c_17621]) ).
tcf(c_50623,plain,
( ssList(app(sk7,app(sk7,sk8)))
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50605,c_6482]) ).
tcf(c_50626,plain,
( rearsegP(app(sk7,app(sk7,sk8)),sk8)
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50613,c_6482]) ).
tcf(c_50629,plain,
( frontsegP(app(sk7,app(sk7,sk8)),app(sk7,sk7))
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50612,c_6482]) ).
tcf(c_50635,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk7)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk7,sk8))) ),
inference(light_normalisation,[status(thm)],[c_50621,c_49247]) ).
tcf(c_50636,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk7)
| ~ ssList(app(sk7,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50635,c_6482,c_6483]) ).
tcf(c_50639,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk7,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50620,c_6482,c_6483]) ).
tcf(c_50643,plain,
( ( sk8 = nil )
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50610,c_6482]) ).
tcf(c_50647,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk7,sk8)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50615,c_6482]) ).
tcf(c_50652,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk7,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50614,c_6482]) ).
tcf(c_50657,plain,
( ( app(sk7,sk7) = nil )
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50611,c_6482]) ).
tcf(c_50661,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk7,sk8)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ frontsegP(app(sk7,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50618,c_6482]) ).
tcf(c_50666,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk7,sk8)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk7))
| ~ memberP(app(sk7,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50617,c_6482]) ).
tcf(c_50671,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk7,sk8)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50619,c_6482]) ).
tcf(c_50677,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk7,sk7),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk7))
| ~ memberP(app(sk7,app(sk7,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50609,c_6482]) ).
tcf(c_50683,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ( app(app(sk7,sk7),X0) != app(sk7,app(sk7,sk8)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50616,c_6482]) ).
tcf(c_50688,plain,
! [X0: $i] :
( ( app(sk7,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk8)) != app(X0,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50607,c_6482]) ).
tcf(c_50693,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk7,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(app(sk7,app(sk7,sk8)),X0)) ),
inference(light_normalisation,[status(thm)],[c_50606,c_49247]) ).
tcf(c_50694,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk7,sk8)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(app(sk7,app(sk7,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50693,c_6482]) ).
tcf(c_50713,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk7,sk8)),sk7),X0) = app(app(sk7,app(sk7,sk8)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_16216]) ).
tcf(c_50714,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk7,sk8)),sk4),X0) = app(app(sk7,app(sk7,sk8)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_16215]) ).
tcf(c_50715,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk7,app(sk7,sk8)))) = app(cons(X1,X0),app(sk7,app(sk7,sk8))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_404]) ).
tcf(c_50716,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk7,app(sk7,sk8))),X0) = app(X1,app(app(sk7,app(sk7,sk8)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_396]) ).
tcf(c_50717,plain,
! [X0: $i] :
( ( app(sk7,app(sk7,sk8)) = nil )
| ( app(tl(app(sk7,app(sk7,sk8))),X0) = tl(app(app(sk7,app(sk7,sk8)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_380]) ).
tcf(c_50718,plain,
! [X0: $i] :
( ( app(sk7,app(sk7,sk8)) = nil )
| ( hd(app(app(sk7,app(sk7,sk8)),X0)) = hd(app(sk7,app(sk7,sk8))) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_370]) ).
tcf(c_50719,plain,
( ( app(app(sk7,sk7),app(sk7,app(sk7,sk8))) = app(sk7,app(sk7,app(sk7,app(sk7,sk8)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_45539]) ).
tcf(c_50720,plain,
( ( app(app(sk4,sk7),app(sk7,app(sk7,sk8))) = app(sk4,app(sk7,app(sk7,app(sk7,sk8)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_45538]) ).
tcf(c_50721,plain,
( ( app(app(sk8,sk4),app(sk7,app(sk7,sk8))) = app(sk8,app(sk4,app(sk7,app(sk7,sk8)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_37633]) ).
tcf(c_50722,plain,
( ( app(app(sk7,sk4),app(sk7,app(sk7,sk8))) = app(sk7,app(sk4,app(sk7,app(sk7,sk8)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_37632]) ).
tcf(c_50723,plain,
( ( app(app(sk4,sk4),app(sk7,app(sk7,sk8))) = app(sk4,app(sk4,app(sk7,app(sk7,sk8)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_37631]) ).
tcf(c_50724,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk7,app(sk7,sk8))) = tl(app(sk8,app(sk7,app(sk7,sk8)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_14611]) ).
tcf(c_50725,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk7,app(sk7,sk8))) = tl(app(sk7,app(sk7,app(sk7,sk8)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_14610]) ).
tcf(c_50726,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk7,app(sk7,sk8))) = tl(app(sk4,app(sk7,app(sk7,sk8)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_14609]) ).
tcf(c_50727,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk7,app(sk7,sk8)))) = hd(sk8) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_11903]) ).
tcf(c_50728,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk7,app(sk7,sk8)))) = hd(sk7) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_11902]) ).
tcf(c_50729,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk7,app(sk7,sk8)))) = hd(sk4) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_11901]) ).
tcf(c_50730,plain,
( cyclefreeP(app(sk7,app(sk7,sk8)))
| ( app(app(skaf51(app(sk7,app(sk7,sk8))),cons(skaf49(app(sk7,app(sk7,sk8))),skaf52(app(sk7,app(sk7,sk8))))),cons(skaf50(app(sk7,app(sk7,sk8))),skaf53(app(sk7,app(sk7,sk8))))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_414]) ).
tcf(c_50731,plain,
( totalorderP(app(sk7,app(sk7,sk8)))
| ( app(app(skaf56(app(sk7,app(sk7,sk8))),cons(skaf54(app(sk7,app(sk7,sk8))),skaf57(app(sk7,app(sk7,sk8))))),cons(skaf55(app(sk7,app(sk7,sk8))),skaf58(app(sk7,app(sk7,sk8))))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_413]) ).
tcf(c_50732,plain,
( strictorderP(app(sk7,app(sk7,sk8)))
| ( app(app(skaf61(app(sk7,app(sk7,sk8))),cons(skaf59(app(sk7,app(sk7,sk8))),skaf62(app(sk7,app(sk7,sk8))))),cons(skaf60(app(sk7,app(sk7,sk8))),skaf63(app(sk7,app(sk7,sk8))))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_412]) ).
tcf(c_50733,plain,
( totalorderedP(app(sk7,app(sk7,sk8)))
| ( app(app(skaf66(app(sk7,app(sk7,sk8))),cons(skaf64(app(sk7,app(sk7,sk8))),skaf67(app(sk7,app(sk7,sk8))))),cons(skaf65(app(sk7,app(sk7,sk8))),skaf68(app(sk7,app(sk7,sk8))))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_411]) ).
tcf(c_50734,plain,
( strictorderedP(app(sk7,app(sk7,sk8)))
| ( app(app(skaf71(app(sk7,app(sk7,sk8))),cons(skaf69(app(sk7,app(sk7,sk8))),skaf72(app(sk7,app(sk7,sk8))))),cons(skaf70(app(sk7,app(sk7,sk8))),skaf73(app(sk7,app(sk7,sk8))))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_410]) ).
tcf(c_50735,plain,
( duplicatefreeP(app(sk7,app(sk7,sk8)))
| ( app(app(skaf75(app(sk7,app(sk7,sk8))),cons(skaf74(app(sk7,app(sk7,sk8))),skaf76(app(sk7,app(sk7,sk8))))),cons(skaf74(app(sk7,app(sk7,sk8))),skaf77(app(sk7,app(sk7,sk8))))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_409]) ).
tcf(c_50736,plain,
( equalelemsP(app(sk7,app(sk7,sk8)))
| ( app(skaf80(app(sk7,app(sk7,sk8))),cons(skaf78(app(sk7,app(sk7,sk8))),cons(skaf79(app(sk7,app(sk7,sk8))),skaf81(app(sk7,app(sk7,sk8)))))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_389]) ).
tcf(c_50737,plain,
( ( hd(cons(sk6,app(sk7,app(sk7,sk8)))) = sk6 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_10017]) ).
tcf(c_50738,plain,
( ( app(sk7,app(sk7,sk8)) = nil )
| ( cons(skaf83(app(sk7,app(sk7,sk8))),skaf82(app(sk7,app(sk7,sk8)))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_356]) ).
tcf(c_50739,plain,
( ( app(sk7,app(sk7,sk8)) = nil )
| ( cons(hd(app(sk7,app(sk7,sk8))),tl(app(sk7,app(sk7,sk8)))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_351]) ).
tcf(c_50740,plain,
( ( hd(cons(sk5,app(sk7,app(sk7,sk8)))) = sk5 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_10016]) ).
tcf(c_50741,plain,
( ( tl(cons(sk6,app(sk7,app(sk7,sk8)))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_9887]) ).
tcf(c_50742,plain,
( ( tl(cons(sk5,app(sk7,app(sk7,sk8)))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_9886]) ).
tcf(c_50743,plain,
( duplicatefreeP(app(sk7,app(sk7,sk8)))
| ~ iPr_def_11
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_6471]) ).
tcf(c_50744,plain,
( ( app(nil,app(sk7,app(sk7,sk8))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_321]) ).
tcf(c_50745,plain,
( ( app(app(sk7,app(sk7,sk8)),nil) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_320]) ).
tcf(c_50905,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ rearsegP(X0,app(sk7,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_49488,c_400]) ).
tcf(c_50906,plain,
( ( app(skaf46(app(sk7,app(sk7,sk4)),sk4),sk4) = app(sk7,app(sk7,sk4)) )
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_49488,c_378]) ).
tcf(c_50907,plain,
( ( app(sk7,app(sk7,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_49488,c_375]) ).
tcf(c_50908,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ rearsegP(X0,app(sk7,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50905,c_6486]) ).
tcf(c_50914,plain,
( ( app(sk7,app(sk7,sk4)) = sk4 )
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50907,c_6486]) ).
tcf(c_50919,plain,
( ( app(skaf46(app(sk7,app(sk7,sk4)),sk4),sk4) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50906,c_6486]) ).
tcf(c_50941,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ rearsegP(X0,app(sk7,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_50069,c_400]) ).
tcf(c_50942,plain,
( ( app(skaf46(app(sk7,app(sk7,sk7)),sk7),sk7) = app(sk7,app(sk7,sk7)) )
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_50069,c_378]) ).
tcf(c_50943,plain,
( ( app(sk7,app(sk7,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_50069,c_375]) ).
tcf(c_50944,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ rearsegP(X0,app(sk7,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50941,c_6483]) ).
tcf(c_50950,plain,
( ( app(sk7,app(sk7,sk7)) = sk7 )
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50943,c_6483]) ).
tcf(c_50955,plain,
( ( app(skaf46(app(sk7,app(sk7,sk7)),sk7),sk7) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50942,c_6483]) ).
tcf(c_50964,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ rearsegP(X0,app(sk7,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_50626,c_400]) ).
tcf(c_50965,plain,
( ( app(skaf46(app(sk7,app(sk7,sk8)),sk8),sk8) = app(sk7,app(sk7,sk8)) )
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_50626,c_378]) ).
tcf(c_50966,plain,
( ( app(sk7,app(sk7,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ rearsegP(sk8,app(sk7,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_50626,c_375]) ).
tcf(c_50967,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ rearsegP(X0,app(sk7,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50964,c_6482]) ).
tcf(c_50973,plain,
( ( app(sk7,app(sk7,sk8)) = sk8 )
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ rearsegP(sk8,app(sk7,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50966,c_6482]) ).
tcf(c_50978,plain,
( ( app(skaf46(app(sk7,app(sk7,sk8)),sk8),sk8) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50965,c_6482]) ).
tcf(c_50987,plain,
! [X0: $i] :
( frontsegP(X0,app(sk7,sk7))
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ frontsegP(X0,app(sk7,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_49491,c_401]) ).
tcf(c_50988,plain,
( ( app(app(sk7,sk7),skaf45(app(sk7,app(sk7,sk4)),app(sk7,sk7))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_49491,c_379]) ).
tcf(c_50989,plain,
( ( app(sk7,app(sk7,sk4)) = app(sk7,sk7) )
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ frontsegP(app(sk7,sk7),app(sk7,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_49491,c_376]) ).
tcf(c_51020,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(X0,app(sk7,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_49498,c_399]) ).
tcf(c_51021,plain,
( ( app(app(skaf47(app(sk7,app(sk7,sk4)),sk7),sk7),skaf48(sk7,app(sk7,app(sk7,sk4)))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_49498,c_415]) ).
tcf(c_51022,plain,
( ( app(sk7,app(sk7,sk4)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk7,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_49498,c_374]) ).
tcf(c_51023,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(X0,app(sk7,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51020,c_6483]) ).
tcf(c_51028,plain,
( ( app(sk7,app(sk7,sk4)) = sk7 )
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk7,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51022,c_6483]) ).
tcf(c_51032,plain,
( ( app(app(skaf47(app(sk7,app(sk7,sk4)),sk7),sk7),skaf48(sk7,app(sk7,app(sk7,sk4)))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51021,c_6483]) ).
tcf(c_51036,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf63(X0)) = nil )
| ( cons(sk5,skaf63(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf63(X0)))
| ( skaf63(X0) != tl(X1) )
| ( hd(cons(sk5,skaf63(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10197,c_424]) ).
tcf(c_51039,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf63(X0)) = nil )
| ( cons(sk5,skaf63(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf63(X0)))
| ( hd(X1) != sk5 )
| ( skaf63(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_51036,c_10665]) ).
tcf(c_51049,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),skaf45(iPr_def_16,iPr_def_13))
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_13))
| ~ ssList(app(app(iPr_def_13,skaf45(iPr_def_16,iPr_def_13)),X0)) ),
inference(superposition,[status(thm)],[c_26347,c_420]) ).
tcf(c_51050,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_13))
| ( app(X0,skaf45(iPr_def_16,iPr_def_13)) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_26347,c_398]) ).
tcf(c_51052,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| memberP(skaf45(iPr_def_16,iPr_def_13),X0)
| ~ ssList(iPr_def_13)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_26347,c_405]) ).
tcf(c_51056,plain,
( rearsegP(iPr_def_16,skaf45(iPr_def_16,iPr_def_13))
| ~ ssList(iPr_def_13)
| ~ ssList(skaf45(iPr_def_16,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_26347,c_807]) ).
tcf(c_51057,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssList(iPr_def_13)
| ~ ssItem(X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_13))
| ~ memberP(skaf45(iPr_def_16,iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_26347,c_388]) ).
tcf(c_51058,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_13))
| ~ rearsegP(skaf45(iPr_def_16,iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_26347,c_383]) ).
tcf(c_51059,plain,
! [X0: $i] :
( ( skaf45(iPr_def_16,iPr_def_13) = X0 )
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_13))
| ( app(iPr_def_13,X0) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_26347,c_397]) ).
tcf(c_51060,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssList(iPr_def_13)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_26347,c_387]) ).
tcf(c_51061,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_13,X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_26347,c_384]) ).
tcf(c_51062,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(iPr_def_13)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_13))
| ~ segmentP(skaf45(iPr_def_16,iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_26347,c_419]) ).
tcf(c_51063,plain,
( segmentP(iPr_def_16,iPr_def_12)
| ~ ssList(skaf45(iPr_def_16,iPr_def_13))
| ~ ssList(app(iPr_def_13,skaf45(iPr_def_16,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_26347,c_20810]) ).
tcf(c_51064,plain,
! [X0: $i] :
( segmentP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_26347,c_20331]) ).
tcf(c_51065,plain,
rearsegP(iPr_def_16,skaf45(iPr_def_16,iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_51056,c_9527,c_298]) ).
tcf(c_51066,plain,
! [X0: $i] :
( segmentP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51064,c_298]) ).
tcf(c_51070,plain,
( segmentP(iPr_def_16,iPr_def_12)
| ~ ssList(iPr_def_16)
| ~ ssList(skaf45(iPr_def_16,iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_51063,c_26347]) ).
tcf(c_51071,plain,
segmentP(iPr_def_16,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_51070,c_9020,c_298]) ).
tcf(c_51072,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51061,c_9527,c_298]) ).
tcf(c_51076,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51060,c_9527,c_298]) ).
tcf(c_51080,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(iPr_def_16,iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51058,c_9527,c_298]) ).
tcf(c_51084,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(iPr_def_16,iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51057,c_9527,c_298]) ).
tcf(c_51088,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| memberP(skaf45(iPr_def_16,iPr_def_13),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51052,c_9527,c_298]) ).
tcf(c_51093,plain,
! [X0: $i] :
( ( skaf45(iPr_def_16,iPr_def_13) = X0 )
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51059,c_9527,c_298]) ).
tcf(c_51097,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ ssList(X0)
| ( app(X0,skaf45(iPr_def_16,iPr_def_13)) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51050,c_9527,c_298]) ).
tcf(c_51101,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(iPr_def_16,iPr_def_13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51062,c_9527,c_298]) ).
tcf(c_51106,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),skaf45(iPr_def_16,iPr_def_13))
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ ssList(skaf45(iPr_def_16,iPr_def_13))
| ~ ssList(app(iPr_def_16,X0)) ),
inference(light_normalisation,[status(thm)],[c_51049,c_26347]) ).
tcf(c_51107,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),skaf45(iPr_def_16,iPr_def_13))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51106,c_9527,c_298]) ).
tcf(c_51158,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_16,iPr_def_13))
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_16)
| ~ ssList(skaf45(iPr_def_16,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_51065,c_400]) ).
tcf(c_51159,plain,
( ( app(skaf46(iPr_def_16,skaf45(iPr_def_16,iPr_def_13)),skaf45(iPr_def_16,iPr_def_13)) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf45(iPr_def_16,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_51065,c_378]) ).
tcf(c_51160,plain,
( ( skaf45(iPr_def_16,iPr_def_13) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf45(iPr_def_16,iPr_def_13))
| ~ rearsegP(skaf45(iPr_def_16,iPr_def_13),iPr_def_16) ),
inference(superposition,[status(thm)],[c_51065,c_375]) ).
tcf(c_51161,plain,
( ( skaf45(iPr_def_16,iPr_def_13) = iPr_def_16 )
| ~ rearsegP(skaf45(iPr_def_16,iPr_def_13),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51160,c_9020,c_298]) ).
tcf(c_51164,plain,
app(skaf46(iPr_def_16,skaf45(iPr_def_16,iPr_def_13)),skaf45(iPr_def_16,iPr_def_13)) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_51159,c_9020,c_298]) ).
tcf(c_51165,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_16,iPr_def_13))
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51158,c_9020,c_298]) ).
tcf(c_51177,plain,
! [X0: $i] :
( segmentP(X0,iPr_def_12)
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_51071,c_399]) ).
tcf(c_51178,plain,
( ( app(app(skaf47(iPr_def_16,iPr_def_12),iPr_def_12),skaf48(iPr_def_12,iPr_def_16)) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_51071,c_415]) ).
tcf(c_51179,plain,
( ( iPr_def_12 = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_12)
| ~ segmentP(iPr_def_12,iPr_def_16) ),
inference(superposition,[status(thm)],[c_51071,c_374]) ).
tcf(c_51180,plain,
( ( iPr_def_12 = iPr_def_16 )
| ~ segmentP(iPr_def_12,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51179,c_9020,c_9489]) ).
tcf(c_51183,plain,
! [X0: $i] :
( segmentP(X0,iPr_def_12)
| ~ ssList(X0)
| ~ segmentP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51177,c_9020,c_9489]) ).
tcf(c_51187,plain,
app(app(skaf47(iPr_def_16,iPr_def_12),iPr_def_12),skaf48(iPr_def_12,iPr_def_16)) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_51178,c_9020,c_9489]) ).
tcf(c_51190,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk4)
| ~ ssList(iPr_def_14)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_14,sk4),X0)) ),
inference(superposition,[status(thm)],[c_28958,c_420]) ).
tcf(c_51191,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(sk4)
| ~ ssList(X0)
| ( app(X0,sk4) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_28958,c_398]) ).
tcf(c_51193,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| memberP(sk4,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk4),X0) ),
inference(superposition,[status(thm)],[c_28958,c_405]) ).
tcf(c_51198,plain,
! [X0: $i] :
( memberP(cons(sk6,sk4),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(superposition,[status(thm)],[c_28958,c_388]) ).
tcf(c_51199,plain,
! [X0: $i] :
( rearsegP(cons(sk6,sk4),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(superposition,[status(thm)],[c_28958,c_383]) ).
tcf(c_51200,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(iPr_def_14)
| ~ ssList(sk4)
| ~ ssList(X0)
| ( app(iPr_def_14,X0) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_28958,c_397]) ).
tcf(c_51201,plain,
! [X0: $i] :
( memberP(cons(sk6,sk4),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_28958,c_387]) ).
tcf(c_51202,plain,
! [X0: $i] :
( frontsegP(cons(sk6,sk4),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_28958,c_384]) ).
tcf(c_51203,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,sk4),X1),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_28958,c_419]) ).
tcf(c_51204,plain,
( ( nil = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ( cons(sk6,sk4) != sk4 ) ),
inference(superposition,[status(thm)],[c_28958,c_17629]) ).
tcf(c_51205,plain,
cons(sk6,sk4) != sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_51204,c_10149,c_9488]) ).
tcf(c_51206,plain,
! [X0: $i] :
( frontsegP(cons(sk6,sk4),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51202,c_9488,c_6486]) ).
tcf(c_51210,plain,
! [X0: $i] :
( memberP(cons(sk6,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51201,c_9488,c_6486]) ).
tcf(c_51216,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51193,c_9488,c_6486]) ).
tcf(c_51221,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(iPr_def_14,X0) != cons(sk6,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51200,c_9488,c_6486]) ).
tcf(c_51225,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(X0)
| ( app(X0,sk4) != cons(sk6,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51191,c_9488,c_6486]) ).
tcf(c_51230,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk4)
| ~ ssList(iPr_def_14)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(light_normalisation,[status(thm)],[c_51190,c_28958]) ).
tcf(c_51300,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(iPr_def_14)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_14,sk7),X0)) ),
inference(superposition,[status(thm)],[c_28959,c_420]) ).
tcf(c_51301,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(sk7)
| ~ ssList(X0)
| ( app(X0,sk7) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_28959,c_398]) ).
tcf(c_51303,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| memberP(sk7,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk7),X0) ),
inference(superposition,[status(thm)],[c_28959,c_405]) ).
tcf(c_51308,plain,
! [X0: $i] :
( memberP(cons(sk6,sk7),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(superposition,[status(thm)],[c_28959,c_388]) ).
tcf(c_51309,plain,
! [X0: $i] :
( rearsegP(cons(sk6,sk7),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(superposition,[status(thm)],[c_28959,c_383]) ).
tcf(c_51310,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(iPr_def_14)
| ~ ssList(sk7)
| ~ ssList(X0)
| ( app(iPr_def_14,X0) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_28959,c_397]) ).
tcf(c_51311,plain,
! [X0: $i] :
( memberP(cons(sk6,sk7),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_28959,c_387]) ).
tcf(c_51312,plain,
! [X0: $i] :
( frontsegP(cons(sk6,sk7),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_28959,c_384]) ).
tcf(c_51313,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,sk7),X1),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(superposition,[status(thm)],[c_28959,c_419]) ).
tcf(c_51314,plain,
( ( nil = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ( cons(sk6,sk7) != sk7 ) ),
inference(superposition,[status(thm)],[c_28959,c_17625]) ).
tcf(c_51315,plain,
cons(sk6,sk7) != sk7,
inference(forward_subsumption_resolution,[status(thm)],[c_51314,c_10149,c_9488]) ).
tcf(c_51316,plain,
! [X0: $i] :
( frontsegP(cons(sk6,sk7),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51312,c_9488,c_6483]) ).
tcf(c_51320,plain,
! [X0: $i] :
( memberP(cons(sk6,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51311,c_9488,c_6483]) ).
tcf(c_51326,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| memberP(sk7,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51303,c_9488,c_6483]) ).
tcf(c_51331,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(iPr_def_14,X0) != cons(sk6,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51310,c_9488,c_6483]) ).
tcf(c_51335,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(X0)
| ( app(X0,sk7) != cons(sk6,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51301,c_9488,c_6483]) ).
tcf(c_51340,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(iPr_def_14)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk7),X0)) ),
inference(light_normalisation,[status(thm)],[c_51300,c_28959]) ).
tcf(c_51446,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X1)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_401]) ).
tcf(c_51447,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,sk4),X0)) = cons(sk6,sk4) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_379]) ).
tcf(c_51448,plain,
! [X0: $i] :
( ( cons(sk6,sk4) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_376]) ).
tcf(c_51449,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_51206,c_423]) ).
tcf(c_51450,plain,
! [X0: $i,X1: $i] :
( frontsegP(sk4,X1)
| ~ ssItem(sk6)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_51206,c_421]) ).
tcf(c_51451,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_15594]) ).
tcf(c_51452,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_28779]) ).
tcf(c_51453,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_26336]) ).
tcf(c_51456,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51453,c_9020,c_28942]) ).
tcf(c_51459,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51452,c_24748,c_28942]) ).
tcf(c_51462,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51451,c_9527,c_28942]) ).
tcf(c_51465,plain,
! [X0: $i] :
( ( cons(sk6,sk4) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0)
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51448,c_28942]) ).
tcf(c_51470,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,sk4),X0)) = cons(sk6,sk4) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51447,c_28942]) ).
tcf(c_51474,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X1)
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51446,c_28942]) ).
tcf(c_51480,plain,
! [X0: $i,X1: $i] :
( frontsegP(sk4,X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51450,c_6484,c_6486]) ).
tcf(c_51486,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51449,c_6484,c_6486]) ).
tcf(c_51499,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,sk4),X0),cons(X0,skaf43(X0,cons(sk6,sk4)))) = cons(sk6,sk4) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_51210,c_416]) ).
tcf(c_51500,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_51210,c_408]) ).
tcf(c_51502,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,sk4),X0),cons(X0,skaf43(X0,cons(sk6,sk4)))) = cons(sk6,sk4) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51499,c_28942]) ).
tcf(c_51513,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X1)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_51316,c_401]) ).
tcf(c_51514,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,sk7),X0)) = cons(sk6,sk7) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_51316,c_379]) ).
tcf(c_51515,plain,
! [X0: $i] :
( ( cons(sk6,sk7) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_51316,c_376]) ).
tcf(c_51516,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_51316,c_423]) ).
tcf(c_51517,plain,
! [X0: $i,X1: $i] :
( frontsegP(sk7,X1)
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_51316,c_421]) ).
tcf(c_51518,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_51316,c_15594]) ).
tcf(c_51519,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_51316,c_28779]) ).
tcf(c_51520,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_51316,c_26336]) ).
tcf(c_51523,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51520,c_9020,c_28940]) ).
tcf(c_51526,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51519,c_24748,c_28940]) ).
tcf(c_51529,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51518,c_9527,c_28940]) ).
tcf(c_51532,plain,
! [X0: $i] :
( ( cons(sk6,sk7) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0)
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51515,c_28940]) ).
tcf(c_51537,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,sk7),X0)) = cons(sk6,sk7) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51514,c_28940]) ).
tcf(c_51541,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X1)
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51513,c_28940]) ).
tcf(c_51547,plain,
! [X0: $i,X1: $i] :
( frontsegP(sk7,X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51517,c_6484,c_6483]) ).
tcf(c_51601,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,sk7),X0),cons(X0,skaf43(X0,cons(sk6,sk7)))) = cons(sk6,sk7) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_51320,c_416]) ).
tcf(c_51602,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_51320,c_408]) ).
tcf(c_51604,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,sk7),X0),cons(X0,skaf43(X0,cons(sk6,sk7)))) = cons(sk6,sk7) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51601,c_28940]) ).
tcf(c_51615,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X1)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(X0,app(sk7,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_49501,c_399]) ).
tcf(c_51616,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk7,app(sk7,sk4)),X0),X0),skaf48(X0,app(sk7,app(sk7,sk4)))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk7,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_49501,c_415]) ).
tcf(c_51617,plain,
! [X0: $i] :
( ( app(sk7,app(sk7,sk4)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(X0,app(sk7,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_49501,c_374]) ).
tcf(c_51619,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk7,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_49501,c_28549]) ).
tcf(c_51620,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk7,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_49501,c_27097]) ).
tcf(c_51621,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk7,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_49501,c_27109]) ).
tcf(c_51622,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk7)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk7,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51621,c_24748]) ).
tcf(c_51626,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk7)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk7,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51620,c_9020]) ).
tcf(c_51630,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk8)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk7,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51619,c_9020]) ).
tcf(c_51655,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(X0,app(sk7,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_50073,c_399]) ).
tcf(c_51656,plain,
( ( app(app(skaf47(app(sk7,app(sk7,sk7)),sk7),sk7),skaf48(sk7,app(sk7,app(sk7,sk7)))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_50073,c_415]) ).
tcf(c_51657,plain,
( ( app(sk7,app(sk7,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk7,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_50073,c_374]) ).
tcf(c_51658,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(X0,app(sk7,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51655,c_6483]) ).
tcf(c_51663,plain,
( ( app(sk7,app(sk7,sk7)) = sk7 )
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk7,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51657,c_6483]) ).
tcf(c_51667,plain,
( ( app(app(skaf47(app(sk7,app(sk7,sk7)),sk7),sk7),skaf48(sk7,app(sk7,app(sk7,sk7)))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51656,c_6483]) ).
tcf(c_51677,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X1)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(X0,app(sk7,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_50076,c_399]) ).
tcf(c_51678,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk7,app(sk7,sk7)),X0),X0),skaf48(X0,app(sk7,app(sk7,sk7)))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk7,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_50076,c_415]) ).
tcf(c_51679,plain,
! [X0: $i] :
( ( app(sk7,app(sk7,sk7)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(X0,app(sk7,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_50076,c_374]) ).
tcf(c_51681,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk7,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_50076,c_28549]) ).
tcf(c_51682,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk7,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_50076,c_27097]) ).
tcf(c_51683,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk7,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_50076,c_27109]) ).
tcf(c_51684,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk7)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk7,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51683,c_24748]) ).
tcf(c_51688,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk7)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk7,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51682,c_9020]) ).
tcf(c_51692,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk8)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk7,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51681,c_9020]) ).
tcf(c_51729,plain,
! [X0: $i] :
( frontsegP(X0,app(sk7,sk7))
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ frontsegP(X0,app(sk7,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_50080,c_401]) ).
tcf(c_51730,plain,
( ( app(app(sk7,sk7),skaf45(app(sk7,app(sk7,sk7)),app(sk7,sk7))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_50080,c_379]) ).
tcf(c_51731,plain,
( ( app(sk7,app(sk7,sk7)) = app(sk7,sk7) )
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ frontsegP(app(sk7,sk7),app(sk7,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_50080,c_376]) ).
tcf(c_51772,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf62(X0)) = nil )
| ( cons(sk5,skaf62(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf62(X0)))
| ( skaf62(X0) != tl(X1) )
| ( hd(cons(sk5,skaf62(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10198,c_424]) ).
tcf(c_51775,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf62(X0)) = nil )
| ( cons(sk5,skaf62(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf62(X0)))
| ( hd(X1) != sk5 )
| ( skaf62(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_51772,c_10666]) ).
tcf(c_51785,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk8)
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_14,sk8),X0)) ),
inference(superposition,[status(thm)],[c_28960,c_420]) ).
tcf(c_51786,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ ssList(X0)
| ( app(X0,sk8) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_28960,c_398]) ).
tcf(c_51788,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| memberP(sk8,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk8),X0) ),
inference(superposition,[status(thm)],[c_28960,c_405]) ).
tcf(c_51793,plain,
! [X0: $i] :
( memberP(cons(sk6,sk8),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(superposition,[status(thm)],[c_28960,c_388]) ).
tcf(c_51794,plain,
! [X0: $i] :
( rearsegP(cons(sk6,sk8),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0) ),
inference(superposition,[status(thm)],[c_28960,c_383]) ).
tcf(c_51795,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ ssList(X0)
| ( app(iPr_def_14,X0) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_28960,c_397]) ).
tcf(c_51796,plain,
! [X0: $i] :
( memberP(cons(sk6,sk8),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_28960,c_387]) ).
tcf(c_51797,plain,
! [X0: $i] :
( frontsegP(cons(sk6,sk8),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_28960,c_384]) ).
tcf(c_51798,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,sk8),X1),X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(superposition,[status(thm)],[c_28960,c_419]) ).
tcf(c_51799,plain,
( ( nil = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ( cons(sk6,sk8) != sk8 ) ),
inference(superposition,[status(thm)],[c_28960,c_17621]) ).
tcf(c_51800,plain,
cons(sk6,sk8) != sk8,
inference(forward_subsumption_resolution,[status(thm)],[c_51799,c_10149,c_9488]) ).
tcf(c_51801,plain,
! [X0: $i] :
( frontsegP(cons(sk6,sk8),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51797,c_9488,c_6482]) ).
tcf(c_51805,plain,
! [X0: $i] :
( memberP(cons(sk6,sk8),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51796,c_9488,c_6482]) ).
tcf(c_51811,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| memberP(sk8,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51788,c_9488,c_6482]) ).
tcf(c_51816,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ( app(iPr_def_14,X0) != cons(sk6,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51795,c_9488,c_6482]) ).
tcf(c_51820,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(X0)
| ( app(X0,sk8) != cons(sk6,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51786,c_9488,c_6482]) ).
tcf(c_51825,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk8)
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk8),X0)) ),
inference(light_normalisation,[status(thm)],[c_51785,c_28960]) ).
tcf(c_51974,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X1))
| ~ segmentP(X0,app(iPr_def_15,X1)) ),
inference(superposition,[status(thm)],[c_37183,c_399]) ).
tcf(c_51975,plain,
! [X0: $i] :
( ( app(app(skaf47(app(iPr_def_15,X0),nil),nil),skaf48(nil,app(iPr_def_15,X0))) = app(iPr_def_15,X0) )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0)) ),
inference(superposition,[status(thm)],[c_37183,c_415]) ).
tcf(c_51976,plain,
! [X0: $i] :
( ( app(iPr_def_15,X0) = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0))
| ~ segmentP(nil,app(iPr_def_15,X0)) ),
inference(superposition,[status(thm)],[c_37183,c_374]) ).
tcf(c_51977,plain,
! [X0: $i] :
( ( app(iPr_def_15,X0) = nil )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0))
| ~ segmentP(nil,app(iPr_def_15,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51976,c_255]) ).
tcf(c_51982,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X1))
| ~ segmentP(X0,app(iPr_def_15,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51974,c_255]) ).
tcf(c_51988,plain,
! [X0: $i] :
( ( app(app(skaf47(app(iPr_def_15,X0),nil),nil),skaf48(nil,app(iPr_def_15,X0))) = app(iPr_def_15,X0) )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51975,c_255]) ).
tcf(c_52000,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X1))
| ~ segmentP(X0,app(iPr_def_16,X1)) ),
inference(superposition,[status(thm)],[c_37572,c_399]) ).
tcf(c_52001,plain,
! [X0: $i] :
( ( app(app(skaf47(app(iPr_def_16,X0),nil),nil),skaf48(nil,app(iPr_def_16,X0))) = app(iPr_def_16,X0) )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_37572,c_415]) ).
tcf(c_52002,plain,
! [X0: $i] :
( ( app(iPr_def_16,X0) = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ segmentP(nil,app(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_37572,c_374]) ).
tcf(c_52003,plain,
! [X0: $i] :
( ( app(iPr_def_16,X0) = nil )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ segmentP(nil,app(iPr_def_16,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52002,c_255]) ).
tcf(c_52008,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X1))
| ~ segmentP(X0,app(iPr_def_16,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52000,c_255]) ).
tcf(c_52014,plain,
! [X0: $i] :
( ( app(app(skaf47(app(iPr_def_16,X0),nil),nil),skaf48(nil,app(iPr_def_16,X0))) = app(iPr_def_16,X0) )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52001,c_255]) ).
tcf(c_52065,plain,
( ( sk7 = nil )
| ( app(skaf42(iPr_def_13,skaf83(sk7)),cons(skaf83(sk7),skaf43(skaf83(sk7),iPr_def_13))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssItem(skaf83(sk7)) ),
inference(superposition,[status(thm)],[c_43409,c_416]) ).
tcf(c_52067,plain,
( ( sk7 = nil )
| ( app(skaf42(iPr_def_13,skaf83(sk7)),cons(skaf83(sk7),skaf43(skaf83(sk7),iPr_def_13))) = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52065,c_9527,c_259]) ).
tcf(c_52076,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X1)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_51801,c_401]) ).
tcf(c_52077,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,sk8),X0)) = cons(sk6,sk8) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_51801,c_379]) ).
tcf(c_52078,plain,
! [X0: $i] :
( ( cons(sk6,sk8) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_51801,c_376]) ).
tcf(c_52079,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_51801,c_423]) ).
tcf(c_52080,plain,
! [X0: $i,X1: $i] :
( frontsegP(sk8,X1)
| ~ ssItem(sk6)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_51801,c_421]) ).
tcf(c_52081,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_51801,c_15594]) ).
tcf(c_52082,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_51801,c_28779]) ).
tcf(c_52083,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_51801,c_26336]) ).
tcf(c_52086,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52083,c_9020,c_28938]) ).
tcf(c_52089,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52082,c_24748,c_28938]) ).
tcf(c_52092,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52081,c_9527,c_28938]) ).
tcf(c_52095,plain,
! [X0: $i] :
( ( cons(sk6,sk8) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0)
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52078,c_28938]) ).
tcf(c_52100,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,sk8),X0)) = cons(sk6,sk8) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52077,c_28938]) ).
tcf(c_52104,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X1)
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52076,c_28938]) ).
tcf(c_52110,plain,
! [X0: $i,X1: $i] :
( frontsegP(sk8,X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_14,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52080,c_6484,c_6482]) ).
tcf(c_52123,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,sk8),X0),cons(X0,skaf43(X0,cons(sk6,sk8)))) = cons(sk6,sk8) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_51805,c_416]) ).
tcf(c_52124,plain,
! [X0: $i] :
( memberP(sk8,X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_51805,c_408]) ).
tcf(c_52126,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,sk8),X0),cons(X0,skaf43(X0,cons(sk6,sk8)))) = cons(sk6,sk8) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52123,c_28938]) ).
tcf(c_52135,plain,
! [X0: $i] :
( frontsegP(X0,app(sk7,sk7))
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ frontsegP(X0,app(sk7,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_50629,c_401]) ).
tcf(c_52136,plain,
( ( app(app(sk7,sk7),skaf45(app(sk7,app(sk7,sk8)),app(sk7,sk7))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_50629,c_379]) ).
tcf(c_52137,plain,
( ( app(sk7,app(sk7,sk8)) = app(sk7,sk7) )
| ~ ssList(app(sk7,sk7))
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ frontsegP(app(sk7,sk7),app(sk7,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_50629,c_376]) ).
tcf(c_52155,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(X0,app(sk7,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_50636,c_399]) ).
tcf(c_52156,plain,
( ( app(app(skaf47(app(sk7,app(sk7,sk8)),sk7),sk7),skaf48(sk7,app(sk7,app(sk7,sk8)))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_50636,c_415]) ).
tcf(c_52157,plain,
( ( app(sk7,app(sk7,sk8)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk7,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_50636,c_374]) ).
tcf(c_52158,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(X0,app(sk7,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52155,c_6483]) ).
tcf(c_52163,plain,
( ( app(sk7,app(sk7,sk8)) = sk7 )
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk7,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52157,c_6483]) ).
tcf(c_52167,plain,
( ( app(app(skaf47(app(sk7,app(sk7,sk8)),sk7),sk7),skaf48(sk7,app(sk7,app(sk7,sk8)))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52156,c_6483]) ).
tcf(c_52177,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X1)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(X0,app(sk7,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_50639,c_399]) ).
tcf(c_52178,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk7,app(sk7,sk8)),X0),X0),skaf48(X0,app(sk7,app(sk7,sk8)))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk7,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_50639,c_415]) ).
tcf(c_52179,plain,
! [X0: $i] :
( ( app(sk7,app(sk7,sk8)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(X0,app(sk7,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_50639,c_374]) ).
tcf(c_52181,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk7,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_50639,c_28549]) ).
tcf(c_52182,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk7,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_50639,c_27097]) ).
tcf(c_52183,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk7,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_50639,c_27109]) ).
tcf(c_52184,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk7)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk7,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52183,c_24748]) ).
tcf(c_52188,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk7)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk7,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52182,c_9020]) ).
tcf(c_52192,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk8)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk7,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52181,c_9020]) ).
tcf(c_52217,plain,
app(app(sk8,sk7),sk4) = app(sk8,app(sk7,sk4)),
inference(superposition,[status(thm)],[c_6486,c_45540]) ).
tcf(c_52218,plain,
app(app(sk8,sk7),sk7) = app(sk8,app(sk7,sk7)),
inference(superposition,[status(thm)],[c_6483,c_45540]) ).
tcf(c_52219,plain,
app(app(sk8,sk7),sk8) = app(sk8,app(sk7,sk8)),
inference(superposition,[status(thm)],[c_6482,c_45540]) ).
tcf(c_52220,plain,
app(app(sk8,sk7),nil) = app(sk8,app(sk7,nil)),
inference(superposition,[status(thm)],[c_255,c_45540]) ).
tcf(c_52221,plain,
! [X0: $i] : app(app(sk8,sk7),skaf82(X0)) = app(sk8,app(sk7,skaf82(X0))),
inference(superposition,[status(thm)],[c_260,c_45540]) ).
tcf(c_52222,plain,
! [X0: $i] : app(app(sk8,sk7),skaf81(X0)) = app(sk8,app(sk7,skaf81(X0))),
inference(superposition,[status(thm)],[c_261,c_45540]) ).
tcf(c_52223,plain,
! [X0: $i] : app(app(sk8,sk7),skaf80(X0)) = app(sk8,app(sk7,skaf80(X0))),
inference(superposition,[status(thm)],[c_262,c_45540]) ).
tcf(c_52224,plain,
! [X0: $i] : app(app(sk8,sk7),skaf77(X0)) = app(sk8,app(sk7,skaf77(X0))),
inference(superposition,[status(thm)],[c_265,c_45540]) ).
tcf(c_52225,plain,
! [X0: $i] : app(app(sk8,sk7),skaf76(X0)) = app(sk8,app(sk7,skaf76(X0))),
inference(superposition,[status(thm)],[c_266,c_45540]) ).
tcf(c_52226,plain,
! [X0: $i] : app(app(sk8,sk7),skaf75(X0)) = app(sk8,app(sk7,skaf75(X0))),
inference(superposition,[status(thm)],[c_267,c_45540]) ).
tcf(c_52227,plain,
! [X0: $i] : app(app(sk8,sk7),skaf73(X0)) = app(sk8,app(sk7,skaf73(X0))),
inference(superposition,[status(thm)],[c_269,c_45540]) ).
tcf(c_52228,plain,
! [X0: $i] : app(app(sk8,sk7),skaf72(X0)) = app(sk8,app(sk7,skaf72(X0))),
inference(superposition,[status(thm)],[c_270,c_45540]) ).
tcf(c_52229,plain,
! [X0: $i] : app(app(sk8,sk7),skaf71(X0)) = app(sk8,app(sk7,skaf71(X0))),
inference(superposition,[status(thm)],[c_271,c_45540]) ).
tcf(c_52230,plain,
! [X0: $i] : app(app(sk8,sk7),skaf68(X0)) = app(sk8,app(sk7,skaf68(X0))),
inference(superposition,[status(thm)],[c_274,c_45540]) ).
tcf(c_52231,plain,
! [X0: $i] : app(app(sk8,sk7),skaf67(X0)) = app(sk8,app(sk7,skaf67(X0))),
inference(superposition,[status(thm)],[c_275,c_45540]) ).
tcf(c_52232,plain,
! [X0: $i] : app(app(sk8,sk7),skaf66(X0)) = app(sk8,app(sk7,skaf66(X0))),
inference(superposition,[status(thm)],[c_276,c_45540]) ).
tcf(c_52233,plain,
! [X0: $i] : app(app(sk8,sk7),skaf63(X0)) = app(sk8,app(sk7,skaf63(X0))),
inference(superposition,[status(thm)],[c_279,c_45540]) ).
tcf(c_52234,plain,
! [X0: $i] : app(app(sk8,sk7),skaf62(X0)) = app(sk8,app(sk7,skaf62(X0))),
inference(superposition,[status(thm)],[c_280,c_45540]) ).
tcf(c_52235,plain,
! [X0: $i] : app(app(sk8,sk7),skaf61(X0)) = app(sk8,app(sk7,skaf61(X0))),
inference(superposition,[status(thm)],[c_281,c_45540]) ).
tcf(c_52236,plain,
! [X0: $i] : app(app(sk8,sk7),skaf58(X0)) = app(sk8,app(sk7,skaf58(X0))),
inference(superposition,[status(thm)],[c_284,c_45540]) ).
tcf(c_52237,plain,
! [X0: $i] : app(app(sk8,sk7),skaf57(X0)) = app(sk8,app(sk7,skaf57(X0))),
inference(superposition,[status(thm)],[c_285,c_45540]) ).
tcf(c_52238,plain,
! [X0: $i] : app(app(sk8,sk7),skaf56(X0)) = app(sk8,app(sk7,skaf56(X0))),
inference(superposition,[status(thm)],[c_286,c_45540]) ).
tcf(c_52239,plain,
! [X0: $i] : app(app(sk8,sk7),skaf53(X0)) = app(sk8,app(sk7,skaf53(X0))),
inference(superposition,[status(thm)],[c_289,c_45540]) ).
tcf(c_52240,plain,
! [X0: $i] : app(app(sk8,sk7),skaf52(X0)) = app(sk8,app(sk7,skaf52(X0))),
inference(superposition,[status(thm)],[c_290,c_45540]) ).
tcf(c_52241,plain,
! [X0: $i] : app(app(sk8,sk7),skaf51(X0)) = app(sk8,app(sk7,skaf51(X0))),
inference(superposition,[status(thm)],[c_291,c_45540]) ).
tcf(c_52242,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk7),skaf48(X0,X1)) = app(sk8,app(sk7,skaf48(X0,X1))),
inference(superposition,[status(thm)],[c_295,c_45540]) ).
tcf(c_52243,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk7),skaf47(X0,X1)) = app(sk8,app(sk7,skaf47(X0,X1))),
inference(superposition,[status(thm)],[c_296,c_45540]) ).
tcf(c_52244,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk7),skaf46(X0,X1)) = app(sk8,app(sk7,skaf46(X0,X1))),
inference(superposition,[status(thm)],[c_297,c_45540]) ).
tcf(c_52245,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk7),skaf45(X0,X1)) = app(sk8,app(sk7,skaf45(X0,X1))),
inference(superposition,[status(thm)],[c_298,c_45540]) ).
tcf(c_52246,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk7),skaf43(X0,X1)) = app(sk8,app(sk7,skaf43(X0,X1))),
inference(superposition,[status(thm)],[c_299,c_45540]) ).
tcf(c_52247,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk7),skaf42(X0,X1)) = app(sk8,app(sk7,skaf42(X0,X1))),
inference(superposition,[status(thm)],[c_300,c_45540]) ).
tcf(c_52248,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sk8,sk7),tl(X0)) = app(sk8,app(sk7,tl(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_45540]) ).
tcf(c_52249,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk8,sk7),app(X1,X0)) = app(sk8,app(sk7,app(X1,X0))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_45540]) ).
tcf(c_52250,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk8,sk7),cons(X1,X0)) = app(sk8,app(sk7,cons(X1,X0))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_45540]) ).
tcf(c_52251,plain,
app(app(sk8,sk7),iPr_def_16) = app(sk8,app(sk7,iPr_def_16)),
inference(superposition,[status(thm)],[c_9020,c_45540]) ).
tcf(c_52252,plain,
app(app(sk8,sk7),iPr_def_13) = app(sk8,app(sk7,iPr_def_13)),
inference(superposition,[status(thm)],[c_9527,c_45540]) ).
tcf(c_52253,plain,
app(app(sk8,sk7),iPr_def_12) = app(sk8,app(sk7,iPr_def_12)),
inference(superposition,[status(thm)],[c_9489,c_45540]) ).
tcf(c_52254,plain,
app(app(sk8,sk7),iPr_def_15) = app(sk8,app(sk7,iPr_def_15)),
inference(superposition,[status(thm)],[c_24748,c_45540]) ).
tcf(c_52255,plain,
app(app(sk8,sk7),iPr_def_14) = app(sk8,app(sk7,iPr_def_14)),
inference(superposition,[status(thm)],[c_9488,c_45540]) ).
tcf(c_52256,plain,
app(app(sk8,sk7),cons(sk6,sk4)) = app(sk8,app(sk7,cons(sk6,sk4))),
inference(superposition,[status(thm)],[c_28942,c_45540]) ).
tcf(c_52257,plain,
app(app(sk8,sk7),cons(sk6,sk7)) = app(sk8,app(sk7,cons(sk6,sk7))),
inference(superposition,[status(thm)],[c_28940,c_45540]) ).
tcf(c_52258,plain,
app(app(sk8,sk7),cons(sk6,sk8)) = app(sk8,app(sk7,cons(sk6,sk8))),
inference(superposition,[status(thm)],[c_28938,c_45540]) ).
tcf(c_52259,plain,
( ( app(app(sk8,sk7),app(sk4,app(sk4,sk4))) = app(sk8,app(sk7,app(sk4,app(sk4,sk4)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_45540]) ).
tcf(c_52260,plain,
( ( app(app(sk8,sk7),app(sk4,app(sk4,sk7))) = app(sk8,app(sk7,app(sk4,app(sk4,sk7)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_45540]) ).
tcf(c_52261,plain,
( ( app(app(sk8,sk7),app(sk4,app(sk4,sk8))) = app(sk8,app(sk7,app(sk4,app(sk4,sk8)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_45540]) ).
tcf(c_52262,plain,
( ( app(app(sk8,sk7),app(sk7,app(sk4,sk4))) = app(sk8,app(sk7,app(sk7,app(sk4,sk4)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_45540]) ).
tcf(c_52263,plain,
( ( app(app(sk8,sk7),app(sk7,app(sk4,sk7))) = app(sk8,app(sk7,app(sk7,app(sk4,sk7)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_45540]) ).
tcf(c_52264,plain,
( ( app(app(sk8,sk7),app(sk7,app(sk4,sk8))) = app(sk8,app(sk7,app(sk7,app(sk4,sk8)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_45540]) ).
tcf(c_52265,plain,
( ( app(app(sk8,sk7),app(sk8,app(sk4,sk4))) = app(sk8,app(sk7,app(sk8,app(sk4,sk4)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_45540]) ).
tcf(c_52266,plain,
( ( app(app(sk8,sk7),app(sk8,app(sk4,sk7))) = app(sk8,app(sk7,app(sk8,app(sk4,sk7)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_45540]) ).
tcf(c_52267,plain,
( ( app(app(sk8,sk7),app(sk8,app(sk4,sk8))) = app(sk8,app(sk7,app(sk8,app(sk4,sk8)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_45540]) ).
tcf(c_52268,plain,
( ( app(app(sk8,sk7),app(sk4,app(sk7,sk4))) = app(sk8,app(sk7,app(sk4,app(sk7,sk4)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_45540]) ).
tcf(c_52269,plain,
( ( app(app(sk8,sk7),app(sk4,app(sk7,sk7))) = app(sk8,app(sk7,app(sk4,app(sk7,sk7)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_45540]) ).
tcf(c_52270,plain,
( ( app(app(sk8,sk7),app(sk4,app(sk7,sk8))) = app(sk8,app(sk7,app(sk4,app(sk7,sk8)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_45540]) ).
tcf(c_52271,plain,
( ( app(app(sk8,sk7),app(sk7,app(sk7,sk4))) = app(sk8,app(sk7,app(sk7,app(sk7,sk4)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_45540]) ).
tcf(c_52272,plain,
( ( app(app(sk8,sk7),app(sk7,app(sk7,sk7))) = app(sk8,app(sk7,app(sk7,app(sk7,sk7)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_45540]) ).
tcf(c_52273,plain,
( ( app(app(sk8,sk7),app(sk7,app(sk7,sk8))) = app(sk8,app(sk7,app(sk7,app(sk7,sk8)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_45540]) ).
tcf(c_52274,plain,
app(app(sk8,sk7),iPr_def_12) = app(sk8,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_52253,c_29639]) ).
tcf(c_52275,plain,
app(app(sk8,sk7),nil) = app(sk8,sk7),
inference(light_normalisation,[status(thm)],[c_52220,c_9102]) ).
tcf(c_52435,plain,
( ssList(app(sk8,app(sk7,sk4)))
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52217,c_332]) ).
tcf(c_52436,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk7,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(app(app(sk8,sk7),sk4),X0)) ),
inference(superposition,[status(thm)],[c_52217,c_420]) ).
tcf(c_52437,plain,
! [X0: $i] :
( ( app(sk8,sk7) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_52217,c_398]) ).
tcf(c_52439,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk8,sk7),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk7))
| ~ memberP(app(sk8,app(sk7,sk4)),X0) ),
inference(superposition,[status(thm)],[c_52217,c_405]) ).
tcf(c_52440,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_52217,c_366]) ).
tcf(c_52441,plain,
( ( app(sk8,sk7) = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_52217,c_365]) ).
tcf(c_52442,plain,
( frontsegP(app(sk8,app(sk7,sk4)),app(sk8,sk7))
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52217,c_808]) ).
tcf(c_52443,plain,
( rearsegP(app(sk8,app(sk7,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52217,c_807]) ).
tcf(c_52444,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52217,c_388]) ).
tcf(c_52445,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52217,c_383]) ).
tcf(c_52446,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ( app(app(sk8,sk7),X0) != app(sk8,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_52217,c_397]) ).
tcf(c_52447,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk7))
| ~ memberP(app(sk8,sk7),X0) ),
inference(superposition,[status(thm)],[c_52217,c_387]) ).
tcf(c_52448,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ frontsegP(app(sk8,sk7),X0) ),
inference(superposition,[status(thm)],[c_52217,c_384]) ).
tcf(c_52449,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk7,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52217,c_419]) ).
tcf(c_52450,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk7,sk4)),X0)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(superposition,[status(thm)],[c_52217,c_419]) ).
tcf(c_52451,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk7)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(app(sk8,sk7),sk4)) ),
inference(superposition,[status(thm)],[c_52217,c_420]) ).
tcf(c_52452,plain,
( ( app(sk8,sk7) = nil )
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_52217,c_17629]) ).
tcf(c_52453,plain,
( ssList(app(sk8,app(sk7,sk4)))
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52435,c_6486]) ).
tcf(c_52456,plain,
( rearsegP(app(sk8,app(sk7,sk4)),sk4)
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52443,c_6486]) ).
tcf(c_52459,plain,
( frontsegP(app(sk8,app(sk7,sk4)),app(sk8,sk7))
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52442,c_6486]) ).
tcf(c_52465,plain,
( ( sk4 = nil )
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52440,c_6486]) ).
tcf(c_52469,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk7,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52445,c_6486]) ).
tcf(c_52474,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk7,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52444,c_6486]) ).
tcf(c_52479,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk7)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(sk8,app(sk7,sk4))) ),
inference(light_normalisation,[status(thm)],[c_52451,c_52217]) ).
tcf(c_52480,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk7)
| ~ ssList(app(sk8,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52479,c_6482,c_6483,c_6486]) ).
tcf(c_52483,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk7,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52450,c_6482,c_6483,c_6486]) ).
tcf(c_52487,plain,
( ( app(sk8,sk7) = nil )
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52441,c_6486]) ).
tcf(c_52491,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk7,sk4)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ frontsegP(app(sk8,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52448,c_6486]) ).
tcf(c_52496,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk7,sk4)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk7))
| ~ memberP(app(sk8,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52447,c_6486]) ).
tcf(c_52501,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk7,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52449,c_6486]) ).
tcf(c_52507,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk8,sk7),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk7))
| ~ memberP(app(sk8,app(sk7,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52439,c_6486]) ).
tcf(c_52513,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ( app(app(sk8,sk7),X0) != app(sk8,app(sk7,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52446,c_6486]) ).
tcf(c_52518,plain,
! [X0: $i] :
( ( app(sk8,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52437,c_6486]) ).
tcf(c_52523,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk7,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(app(sk8,app(sk7,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_52436,c_52217]) ).
tcf(c_52524,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk7,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(app(sk8,app(sk7,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52523,c_6486]) ).
tcf(c_52617,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk7,sk4)),sk7),X0) = app(app(sk8,app(sk7,sk4)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_16216]) ).
tcf(c_52618,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk7,sk4)),sk4),X0) = app(app(sk8,app(sk7,sk4)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_16215]) ).
tcf(c_52619,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk8,app(sk7,sk4)))) = app(cons(X1,X0),app(sk8,app(sk7,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_404]) ).
tcf(c_52620,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk8,app(sk7,sk4))),X0) = app(X1,app(app(sk8,app(sk7,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_396]) ).
tcf(c_52621,plain,
! [X0: $i] :
( ( app(sk8,app(sk7,sk4)) = nil )
| ( app(tl(app(sk8,app(sk7,sk4))),X0) = tl(app(app(sk8,app(sk7,sk4)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_380]) ).
tcf(c_52622,plain,
! [X0: $i] :
( ( app(sk8,app(sk7,sk4)) = nil )
| ( hd(app(app(sk8,app(sk7,sk4)),X0)) = hd(app(sk8,app(sk7,sk4))) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_370]) ).
tcf(c_52623,plain,
( ( app(app(sk8,sk7),app(sk8,app(sk7,sk4))) = app(sk8,app(sk7,app(sk8,app(sk7,sk4)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_45540]) ).
tcf(c_52624,plain,
( ( app(app(sk7,sk7),app(sk8,app(sk7,sk4))) = app(sk7,app(sk7,app(sk8,app(sk7,sk4)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_45539]) ).
tcf(c_52625,plain,
( ( app(app(sk4,sk7),app(sk8,app(sk7,sk4))) = app(sk4,app(sk7,app(sk8,app(sk7,sk4)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_45538]) ).
tcf(c_52626,plain,
( ( app(app(sk8,sk4),app(sk8,app(sk7,sk4))) = app(sk8,app(sk4,app(sk8,app(sk7,sk4)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_37633]) ).
tcf(c_52627,plain,
( ( app(app(sk7,sk4),app(sk8,app(sk7,sk4))) = app(sk7,app(sk4,app(sk8,app(sk7,sk4)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_37632]) ).
tcf(c_52628,plain,
( ( app(app(sk4,sk4),app(sk8,app(sk7,sk4))) = app(sk4,app(sk4,app(sk8,app(sk7,sk4)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_37631]) ).
tcf(c_52629,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk8,app(sk7,sk4))) = tl(app(sk8,app(sk8,app(sk7,sk4)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_14611]) ).
tcf(c_52630,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk8,app(sk7,sk4))) = tl(app(sk7,app(sk8,app(sk7,sk4)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_14610]) ).
tcf(c_52631,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk8,app(sk7,sk4))) = tl(app(sk4,app(sk8,app(sk7,sk4)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_14609]) ).
tcf(c_52632,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk8,app(sk7,sk4)))) = hd(sk8) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_11903]) ).
tcf(c_52633,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk8,app(sk7,sk4)))) = hd(sk7) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_11902]) ).
tcf(c_52634,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk8,app(sk7,sk4)))) = hd(sk4) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_11901]) ).
tcf(c_52635,plain,
( cyclefreeP(app(sk8,app(sk7,sk4)))
| ( app(app(skaf51(app(sk8,app(sk7,sk4))),cons(skaf49(app(sk8,app(sk7,sk4))),skaf52(app(sk8,app(sk7,sk4))))),cons(skaf50(app(sk8,app(sk7,sk4))),skaf53(app(sk8,app(sk7,sk4))))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_414]) ).
tcf(c_52636,plain,
( totalorderP(app(sk8,app(sk7,sk4)))
| ( app(app(skaf56(app(sk8,app(sk7,sk4))),cons(skaf54(app(sk8,app(sk7,sk4))),skaf57(app(sk8,app(sk7,sk4))))),cons(skaf55(app(sk8,app(sk7,sk4))),skaf58(app(sk8,app(sk7,sk4))))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_413]) ).
tcf(c_52637,plain,
( strictorderP(app(sk8,app(sk7,sk4)))
| ( app(app(skaf61(app(sk8,app(sk7,sk4))),cons(skaf59(app(sk8,app(sk7,sk4))),skaf62(app(sk8,app(sk7,sk4))))),cons(skaf60(app(sk8,app(sk7,sk4))),skaf63(app(sk8,app(sk7,sk4))))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_412]) ).
tcf(c_52638,plain,
( totalorderedP(app(sk8,app(sk7,sk4)))
| ( app(app(skaf66(app(sk8,app(sk7,sk4))),cons(skaf64(app(sk8,app(sk7,sk4))),skaf67(app(sk8,app(sk7,sk4))))),cons(skaf65(app(sk8,app(sk7,sk4))),skaf68(app(sk8,app(sk7,sk4))))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_411]) ).
tcf(c_52639,plain,
( strictorderedP(app(sk8,app(sk7,sk4)))
| ( app(app(skaf71(app(sk8,app(sk7,sk4))),cons(skaf69(app(sk8,app(sk7,sk4))),skaf72(app(sk8,app(sk7,sk4))))),cons(skaf70(app(sk8,app(sk7,sk4))),skaf73(app(sk8,app(sk7,sk4))))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_410]) ).
tcf(c_52640,plain,
( duplicatefreeP(app(sk8,app(sk7,sk4)))
| ( app(app(skaf75(app(sk8,app(sk7,sk4))),cons(skaf74(app(sk8,app(sk7,sk4))),skaf76(app(sk8,app(sk7,sk4))))),cons(skaf74(app(sk8,app(sk7,sk4))),skaf77(app(sk8,app(sk7,sk4))))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_409]) ).
tcf(c_52641,plain,
( equalelemsP(app(sk8,app(sk7,sk4)))
| ( app(skaf80(app(sk8,app(sk7,sk4))),cons(skaf78(app(sk8,app(sk7,sk4))),cons(skaf79(app(sk8,app(sk7,sk4))),skaf81(app(sk8,app(sk7,sk4)))))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_389]) ).
tcf(c_52642,plain,
( ( hd(cons(sk6,app(sk8,app(sk7,sk4)))) = sk6 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_10017]) ).
tcf(c_52643,plain,
( ( app(sk8,app(sk7,sk4)) = nil )
| ( cons(skaf83(app(sk8,app(sk7,sk4))),skaf82(app(sk8,app(sk7,sk4)))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_356]) ).
tcf(c_52644,plain,
( ( app(sk8,app(sk7,sk4)) = nil )
| ( cons(hd(app(sk8,app(sk7,sk4))),tl(app(sk8,app(sk7,sk4)))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_351]) ).
tcf(c_52645,plain,
( ( hd(cons(sk5,app(sk8,app(sk7,sk4)))) = sk5 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_10016]) ).
tcf(c_52646,plain,
( ( tl(cons(sk6,app(sk8,app(sk7,sk4)))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_9887]) ).
tcf(c_52647,plain,
( ( tl(cons(sk5,app(sk8,app(sk7,sk4)))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_9886]) ).
tcf(c_52648,plain,
( duplicatefreeP(app(sk8,app(sk7,sk4)))
| ~ iPr_def_11
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_6471]) ).
tcf(c_52649,plain,
( ( app(nil,app(sk8,app(sk7,sk4))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_321]) ).
tcf(c_52650,plain,
( ( app(app(sk8,app(sk7,sk4)),nil) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_320]) ).
tcf(c_53005,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf61(X0)) = nil )
| ( cons(sk5,skaf61(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf61(X0)))
| ( skaf61(X0) != tl(X1) )
| ( hd(cons(sk5,skaf61(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10199,c_424]) ).
tcf(c_53008,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf61(X0)) = nil )
| ( cons(sk5,skaf61(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf61(X0)))
| ( hd(X1) != sk5 )
| ( skaf61(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_53005,c_10667]) ).
tcf(c_53035,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf58(X0)) = nil )
| ( cons(sk5,skaf58(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf58(X0)))
| ( skaf58(X0) != tl(X1) )
| ( hd(cons(sk5,skaf58(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10200,c_424]) ).
tcf(c_53038,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf58(X0)) = nil )
| ( cons(sk5,skaf58(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf58(X0)))
| ( hd(X1) != sk5 )
| ( skaf58(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_53035,c_10668]) ).
tcf(c_53046,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf57(X0)) = nil )
| ( cons(sk5,skaf57(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf57(X0)))
| ( skaf57(X0) != tl(X1) )
| ( hd(cons(sk5,skaf57(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10201,c_424]) ).
tcf(c_53049,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf57(X0)) = nil )
| ( cons(sk5,skaf57(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf57(X0)))
| ( hd(X1) != sk5 )
| ( skaf57(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_53046,c_10669]) ).
tcf(c_53057,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf56(X0)) = nil )
| ( cons(sk5,skaf56(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf56(X0)))
| ( skaf56(X0) != tl(X1) )
| ( hd(cons(sk5,skaf56(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10202,c_424]) ).
tcf(c_53060,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf56(X0)) = nil )
| ( cons(sk5,skaf56(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf56(X0)))
| ( hd(X1) != sk5 )
| ( skaf56(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_53057,c_10670]) ).
tcf(c_53072,plain,
( ( sk7 = nil )
| ( app(skaf42(iPr_def_15,skaf83(sk7)),cons(skaf83(sk7),skaf43(skaf83(sk7),iPr_def_15))) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssItem(skaf83(sk7)) ),
inference(superposition,[status(thm)],[c_43412,c_416]) ).
tcf(c_53074,plain,
( ( sk7 = nil )
| ( app(skaf42(iPr_def_15,skaf83(sk7)),cons(skaf83(sk7),skaf43(skaf83(sk7),iPr_def_15))) = iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53072,c_24748,c_259]) ).
tcf(c_53081,plain,
( ( sk7 = nil )
| ( app(skaf42(iPr_def_16,skaf83(sk7)),cons(skaf83(sk7),skaf43(skaf83(sk7),iPr_def_16))) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssItem(skaf83(sk7)) ),
inference(superposition,[status(thm)],[c_43415,c_416]) ).
tcf(c_53082,plain,
( memberP(iPr_def_15,skaf83(sk7))
| memberP(sk8,skaf83(sk7))
| ( sk7 = nil )
| ~ ssItem(skaf83(sk7)) ),
inference(superposition,[status(thm)],[c_43415,c_33398]) ).
tcf(c_53083,plain,
( memberP(iPr_def_15,skaf83(sk7))
| memberP(sk8,skaf83(sk7))
| ( sk7 = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53082,c_259]) ).
tcf(c_53087,plain,
( ( sk7 = nil )
| ( app(skaf42(iPr_def_16,skaf83(sk7)),cons(skaf83(sk7),skaf43(skaf83(sk7),iPr_def_16))) = iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53081,c_9020,c_259]) ).
tcf(c_53094,plain,
( ( sk8 = nil )
| ( app(skaf42(iPr_def_16,skaf83(sk8)),cons(skaf83(sk8),skaf43(skaf83(sk8),iPr_def_16))) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssItem(skaf83(sk8)) ),
inference(superposition,[status(thm)],[c_43442,c_416]) ).
tcf(c_53096,plain,
( ( sk8 = nil )
| ( app(skaf42(iPr_def_16,skaf83(sk8)),cons(skaf83(sk8),skaf43(skaf83(sk8),iPr_def_16))) = iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53094,c_9020,c_259]) ).
tcf(c_53115,plain,
( frontsegP(sk4,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_48321,c_13542]) ).
tcf(c_53116,plain,
( frontsegP(sk7,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_48321,c_13538]) ).
tcf(c_53117,plain,
( frontsegP(sk8,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_48321,c_13534]) ).
tcf(c_53118,plain,
( ( skaf82(iPr_def_15) = nil )
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_48321,c_331]) ).
tcf(c_53119,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_48321,c_401]) ).
tcf(c_53120,plain,
( ( app(skaf82(iPr_def_15),skaf45(nil,skaf82(iPr_def_15))) = nil )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_48321,c_379]) ).
tcf(c_53121,plain,
( ( skaf82(iPr_def_15) = nil )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),nil) ),
inference(superposition,[status(thm)],[c_48321,c_376]) ).
tcf(c_53122,plain,
( frontsegP(sk8,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53117,c_260]) ).
tcf(c_53125,plain,
( frontsegP(sk7,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53116,c_260]) ).
tcf(c_53128,plain,
( frontsegP(sk4,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53115,c_260]) ).
tcf(c_53131,plain,
( ( skaf82(iPr_def_15) = nil )
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53118,c_260]) ).
tcf(c_53135,plain,
( ( app(skaf82(iPr_def_15),skaf45(nil,skaf82(iPr_def_15))) = nil )
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53120,c_255,c_260]) ).
tcf(c_53138,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53119,c_255,c_260]) ).
tcf(c_53156,plain,
( ssList(app(sk8,app(sk7,sk7)))
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52218,c_332]) ).
tcf(c_53157,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk7,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(app(app(sk8,sk7),sk7),X0)) ),
inference(superposition,[status(thm)],[c_52218,c_420]) ).
tcf(c_53158,plain,
! [X0: $i] :
( ( app(sk8,sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_52218,c_398]) ).
tcf(c_53160,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk8,sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk7))
| ~ memberP(app(sk8,app(sk7,sk7)),X0) ),
inference(superposition,[status(thm)],[c_52218,c_405]) ).
tcf(c_53161,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_52218,c_366]) ).
tcf(c_53162,plain,
( ( app(sk8,sk7) = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_52218,c_365]) ).
tcf(c_53163,plain,
( frontsegP(app(sk8,app(sk7,sk7)),app(sk8,sk7))
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52218,c_808]) ).
tcf(c_53164,plain,
( rearsegP(app(sk8,app(sk7,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52218,c_807]) ).
tcf(c_53165,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52218,c_388]) ).
tcf(c_53166,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52218,c_383]) ).
tcf(c_53167,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ( app(app(sk8,sk7),X0) != app(sk8,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_52218,c_397]) ).
tcf(c_53168,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk7))
| ~ memberP(app(sk8,sk7),X0) ),
inference(superposition,[status(thm)],[c_52218,c_387]) ).
tcf(c_53169,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ frontsegP(app(sk8,sk7),X0) ),
inference(superposition,[status(thm)],[c_52218,c_384]) ).
tcf(c_53170,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk7,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52218,c_419]) ).
tcf(c_53171,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk7,sk7)),X0)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(superposition,[status(thm)],[c_52218,c_419]) ).
tcf(c_53172,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk7)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(app(app(sk8,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_52218,c_420]) ).
tcf(c_53173,plain,
( ( app(sk8,sk7) = nil )
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_52218,c_17625]) ).
tcf(c_53174,plain,
( ssList(app(sk8,app(sk7,sk7)))
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53156,c_6483]) ).
tcf(c_53177,plain,
( rearsegP(app(sk8,app(sk7,sk7)),sk7)
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53164,c_6483]) ).
tcf(c_53180,plain,
( frontsegP(app(sk8,app(sk7,sk7)),app(sk8,sk7))
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53163,c_6483]) ).
tcf(c_53186,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk7)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(app(sk8,app(sk7,sk7))) ),
inference(light_normalisation,[status(thm)],[c_53172,c_52218]) ).
tcf(c_53187,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk7)
| ~ ssList(app(sk8,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53186,c_6482,c_6483]) ).
tcf(c_53190,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk7,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53171,c_6482,c_6483]) ).
tcf(c_53194,plain,
( ( sk7 = nil )
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53161,c_6483]) ).
tcf(c_53198,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk7,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53166,c_6483]) ).
tcf(c_53203,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk7,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53165,c_6483]) ).
tcf(c_53208,plain,
( ( app(sk8,sk7) = nil )
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53162,c_6483]) ).
tcf(c_53212,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk7,sk7)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ frontsegP(app(sk8,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53169,c_6483]) ).
tcf(c_53217,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk7,sk7)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk7))
| ~ memberP(app(sk8,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53168,c_6483]) ).
tcf(c_53222,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk7,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53170,c_6483]) ).
tcf(c_53228,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk8,sk7),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk7))
| ~ memberP(app(sk8,app(sk7,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53160,c_6483]) ).
tcf(c_53234,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ( app(app(sk8,sk7),X0) != app(sk8,app(sk7,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53167,c_6483]) ).
tcf(c_53239,plain,
! [X0: $i] :
( ( app(sk8,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53158,c_6483]) ).
tcf(c_53244,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk7,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(app(sk8,app(sk7,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_53157,c_52218]) ).
tcf(c_53245,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk7,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(app(sk8,app(sk7,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53244,c_6483]) ).
tcf(c_53516,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk7,sk7)),sk7),X0) = app(app(sk8,app(sk7,sk7)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_16216]) ).
tcf(c_53517,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk7,sk7)),sk4),X0) = app(app(sk8,app(sk7,sk7)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_16215]) ).
tcf(c_53518,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk8,app(sk7,sk7)))) = app(cons(X1,X0),app(sk8,app(sk7,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_404]) ).
tcf(c_53519,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk8,app(sk7,sk7))),X0) = app(X1,app(app(sk8,app(sk7,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_396]) ).
tcf(c_53520,plain,
! [X0: $i] :
( ( app(sk8,app(sk7,sk7)) = nil )
| ( app(tl(app(sk8,app(sk7,sk7))),X0) = tl(app(app(sk8,app(sk7,sk7)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_380]) ).
tcf(c_53521,plain,
! [X0: $i] :
( ( app(sk8,app(sk7,sk7)) = nil )
| ( hd(app(app(sk8,app(sk7,sk7)),X0)) = hd(app(sk8,app(sk7,sk7))) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_370]) ).
tcf(c_53522,plain,
( ( app(app(sk8,sk7),app(sk8,app(sk7,sk7))) = app(sk8,app(sk7,app(sk8,app(sk7,sk7)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_45540]) ).
tcf(c_53523,plain,
( ( app(app(sk7,sk7),app(sk8,app(sk7,sk7))) = app(sk7,app(sk7,app(sk8,app(sk7,sk7)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_45539]) ).
tcf(c_53524,plain,
( ( app(app(sk4,sk7),app(sk8,app(sk7,sk7))) = app(sk4,app(sk7,app(sk8,app(sk7,sk7)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_45538]) ).
tcf(c_53525,plain,
( ( app(app(sk8,sk4),app(sk8,app(sk7,sk7))) = app(sk8,app(sk4,app(sk8,app(sk7,sk7)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_37633]) ).
tcf(c_53526,plain,
( ( app(app(sk7,sk4),app(sk8,app(sk7,sk7))) = app(sk7,app(sk4,app(sk8,app(sk7,sk7)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_37632]) ).
tcf(c_53527,plain,
( ( app(app(sk4,sk4),app(sk8,app(sk7,sk7))) = app(sk4,app(sk4,app(sk8,app(sk7,sk7)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_37631]) ).
tcf(c_53528,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk8,app(sk7,sk7))) = tl(app(sk8,app(sk8,app(sk7,sk7)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_14611]) ).
tcf(c_53529,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk8,app(sk7,sk7))) = tl(app(sk7,app(sk8,app(sk7,sk7)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_14610]) ).
tcf(c_53530,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk8,app(sk7,sk7))) = tl(app(sk4,app(sk8,app(sk7,sk7)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_14609]) ).
tcf(c_53531,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk8,app(sk7,sk7)))) = hd(sk8) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_11903]) ).
tcf(c_53532,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk8,app(sk7,sk7)))) = hd(sk7) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_11902]) ).
tcf(c_53533,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk8,app(sk7,sk7)))) = hd(sk4) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_11901]) ).
tcf(c_53534,plain,
( cyclefreeP(app(sk8,app(sk7,sk7)))
| ( app(app(skaf51(app(sk8,app(sk7,sk7))),cons(skaf49(app(sk8,app(sk7,sk7))),skaf52(app(sk8,app(sk7,sk7))))),cons(skaf50(app(sk8,app(sk7,sk7))),skaf53(app(sk8,app(sk7,sk7))))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_414]) ).
tcf(c_53535,plain,
( totalorderP(app(sk8,app(sk7,sk7)))
| ( app(app(skaf56(app(sk8,app(sk7,sk7))),cons(skaf54(app(sk8,app(sk7,sk7))),skaf57(app(sk8,app(sk7,sk7))))),cons(skaf55(app(sk8,app(sk7,sk7))),skaf58(app(sk8,app(sk7,sk7))))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_413]) ).
tcf(c_53536,plain,
( strictorderP(app(sk8,app(sk7,sk7)))
| ( app(app(skaf61(app(sk8,app(sk7,sk7))),cons(skaf59(app(sk8,app(sk7,sk7))),skaf62(app(sk8,app(sk7,sk7))))),cons(skaf60(app(sk8,app(sk7,sk7))),skaf63(app(sk8,app(sk7,sk7))))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_412]) ).
tcf(c_53537,plain,
( totalorderedP(app(sk8,app(sk7,sk7)))
| ( app(app(skaf66(app(sk8,app(sk7,sk7))),cons(skaf64(app(sk8,app(sk7,sk7))),skaf67(app(sk8,app(sk7,sk7))))),cons(skaf65(app(sk8,app(sk7,sk7))),skaf68(app(sk8,app(sk7,sk7))))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_411]) ).
tcf(c_53538,plain,
( strictorderedP(app(sk8,app(sk7,sk7)))
| ( app(app(skaf71(app(sk8,app(sk7,sk7))),cons(skaf69(app(sk8,app(sk7,sk7))),skaf72(app(sk8,app(sk7,sk7))))),cons(skaf70(app(sk8,app(sk7,sk7))),skaf73(app(sk8,app(sk7,sk7))))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_410]) ).
tcf(c_53539,plain,
( duplicatefreeP(app(sk8,app(sk7,sk7)))
| ( app(app(skaf75(app(sk8,app(sk7,sk7))),cons(skaf74(app(sk8,app(sk7,sk7))),skaf76(app(sk8,app(sk7,sk7))))),cons(skaf74(app(sk8,app(sk7,sk7))),skaf77(app(sk8,app(sk7,sk7))))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_409]) ).
tcf(c_53540,plain,
( equalelemsP(app(sk8,app(sk7,sk7)))
| ( app(skaf80(app(sk8,app(sk7,sk7))),cons(skaf78(app(sk8,app(sk7,sk7))),cons(skaf79(app(sk8,app(sk7,sk7))),skaf81(app(sk8,app(sk7,sk7)))))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_389]) ).
tcf(c_53541,plain,
( ( hd(cons(sk6,app(sk8,app(sk7,sk7)))) = sk6 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_10017]) ).
tcf(c_53542,plain,
( ( app(sk8,app(sk7,sk7)) = nil )
| ( cons(skaf83(app(sk8,app(sk7,sk7))),skaf82(app(sk8,app(sk7,sk7)))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_356]) ).
tcf(c_53543,plain,
( ( app(sk8,app(sk7,sk7)) = nil )
| ( cons(hd(app(sk8,app(sk7,sk7))),tl(app(sk8,app(sk7,sk7)))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_351]) ).
tcf(c_53544,plain,
( ( hd(cons(sk5,app(sk8,app(sk7,sk7)))) = sk5 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_10016]) ).
tcf(c_53545,plain,
( ( tl(cons(sk6,app(sk8,app(sk7,sk7)))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_9887]) ).
tcf(c_53546,plain,
( ( tl(cons(sk5,app(sk8,app(sk7,sk7)))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_9886]) ).
tcf(c_53547,plain,
( duplicatefreeP(app(sk8,app(sk7,sk7)))
| ~ iPr_def_11
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_6471]) ).
tcf(c_53548,plain,
( ( app(nil,app(sk8,app(sk7,sk7))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_321]) ).
tcf(c_53549,plain,
( ( app(app(sk8,app(sk7,sk7)),nil) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_320]) ).
tcf(c_53708,plain,
( ssList(app(sk8,app(sk7,sk8)))
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52219,c_332]) ).
tcf(c_53709,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk7,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(app(app(sk8,sk7),sk8),X0)) ),
inference(superposition,[status(thm)],[c_52219,c_420]) ).
tcf(c_53710,plain,
! [X0: $i] :
( ( app(sk8,sk7) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk8)) != app(X0,sk8) ) ),
inference(superposition,[status(thm)],[c_52219,c_398]) ).
tcf(c_53712,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk8,sk7),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk7))
| ~ memberP(app(sk8,app(sk7,sk8)),X0) ),
inference(superposition,[status(thm)],[c_52219,c_405]) ).
tcf(c_53713,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_52219,c_366]) ).
tcf(c_53714,plain,
( ( app(sk8,sk7) = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_52219,c_365]) ).
tcf(c_53715,plain,
( frontsegP(app(sk8,app(sk7,sk8)),app(sk8,sk7))
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52219,c_808]) ).
tcf(c_53716,plain,
( rearsegP(app(sk8,app(sk7,sk8)),sk8)
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52219,c_807]) ).
tcf(c_53717,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk7,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52219,c_388]) ).
tcf(c_53718,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk7,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52219,c_383]) ).
tcf(c_53719,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ( app(app(sk8,sk7),X0) != app(sk8,app(sk7,sk8)) ) ),
inference(superposition,[status(thm)],[c_52219,c_397]) ).
tcf(c_53720,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk7,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk7))
| ~ memberP(app(sk8,sk7),X0) ),
inference(superposition,[status(thm)],[c_52219,c_387]) ).
tcf(c_53721,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk7,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ frontsegP(app(sk8,sk7),X0) ),
inference(superposition,[status(thm)],[c_52219,c_384]) ).
tcf(c_53722,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk7,sk8)),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52219,c_419]) ).
tcf(c_53723,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk7,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(superposition,[status(thm)],[c_52219,c_419]) ).
tcf(c_53724,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk7)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(app(app(sk8,sk7),sk8)) ),
inference(superposition,[status(thm)],[c_52219,c_420]) ).
tcf(c_53725,plain,
( ( app(sk8,sk7) = nil )
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk8)) != sk8 ) ),
inference(superposition,[status(thm)],[c_52219,c_17621]) ).
tcf(c_53726,plain,
( ssList(app(sk8,app(sk7,sk8)))
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53708,c_6482]) ).
tcf(c_53729,plain,
( rearsegP(app(sk8,app(sk7,sk8)),sk8)
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53716,c_6482]) ).
tcf(c_53732,plain,
( frontsegP(app(sk8,app(sk7,sk8)),app(sk8,sk7))
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53715,c_6482]) ).
tcf(c_53738,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk7)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(app(sk8,app(sk7,sk8))) ),
inference(light_normalisation,[status(thm)],[c_53724,c_52219]) ).
tcf(c_53739,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk7)
| ~ ssList(app(sk8,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53738,c_6482,c_6483]) ).
tcf(c_53742,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk7,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53723,c_6482,c_6483]) ).
tcf(c_53746,plain,
( ( sk8 = nil )
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53713,c_6482]) ).
tcf(c_53750,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk7,sk8)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53718,c_6482]) ).
tcf(c_53755,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk7,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53717,c_6482]) ).
tcf(c_53760,plain,
( ( app(sk8,sk7) = nil )
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53714,c_6482]) ).
tcf(c_53764,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk7,sk8)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ frontsegP(app(sk8,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53721,c_6482]) ).
tcf(c_53769,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk7,sk8)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk7))
| ~ memberP(app(sk8,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53720,c_6482]) ).
tcf(c_53774,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk7,sk8)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53722,c_6482]) ).
tcf(c_53780,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk8,sk7),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk7))
| ~ memberP(app(sk8,app(sk7,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53712,c_6482]) ).
tcf(c_53786,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ( app(app(sk8,sk7),X0) != app(sk8,app(sk7,sk8)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53719,c_6482]) ).
tcf(c_53791,plain,
! [X0: $i] :
( ( app(sk8,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk8)) != app(X0,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53710,c_6482]) ).
tcf(c_53796,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk7,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(app(sk8,app(sk7,sk8)),X0)) ),
inference(light_normalisation,[status(thm)],[c_53709,c_52219]) ).
tcf(c_53797,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk7,sk8)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(app(sk8,app(sk7,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53796,c_6482]) ).
tcf(c_53816,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk7,sk8)),sk7),X0) = app(app(sk8,app(sk7,sk8)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_16216]) ).
tcf(c_53817,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk7,sk8)),sk4),X0) = app(app(sk8,app(sk7,sk8)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_16215]) ).
tcf(c_53818,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk8,app(sk7,sk8)))) = app(cons(X1,X0),app(sk8,app(sk7,sk8))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_404]) ).
tcf(c_53819,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk8,app(sk7,sk8))),X0) = app(X1,app(app(sk8,app(sk7,sk8)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_396]) ).
tcf(c_53820,plain,
! [X0: $i] :
( ( app(sk8,app(sk7,sk8)) = nil )
| ( app(tl(app(sk8,app(sk7,sk8))),X0) = tl(app(app(sk8,app(sk7,sk8)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_380]) ).
tcf(c_53821,plain,
! [X0: $i] :
( ( app(sk8,app(sk7,sk8)) = nil )
| ( hd(app(app(sk8,app(sk7,sk8)),X0)) = hd(app(sk8,app(sk7,sk8))) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_370]) ).
tcf(c_53822,plain,
( ( app(app(sk8,sk7),app(sk8,app(sk7,sk8))) = app(sk8,app(sk7,app(sk8,app(sk7,sk8)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_45540]) ).
tcf(c_53823,plain,
( ( app(app(sk7,sk7),app(sk8,app(sk7,sk8))) = app(sk7,app(sk7,app(sk8,app(sk7,sk8)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_45539]) ).
tcf(c_53824,plain,
( ( app(app(sk4,sk7),app(sk8,app(sk7,sk8))) = app(sk4,app(sk7,app(sk8,app(sk7,sk8)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_45538]) ).
tcf(c_53825,plain,
( ( app(app(sk8,sk4),app(sk8,app(sk7,sk8))) = app(sk8,app(sk4,app(sk8,app(sk7,sk8)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_37633]) ).
tcf(c_53826,plain,
( ( app(app(sk7,sk4),app(sk8,app(sk7,sk8))) = app(sk7,app(sk4,app(sk8,app(sk7,sk8)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_37632]) ).
tcf(c_53827,plain,
( ( app(app(sk4,sk4),app(sk8,app(sk7,sk8))) = app(sk4,app(sk4,app(sk8,app(sk7,sk8)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_37631]) ).
tcf(c_53828,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk8,app(sk7,sk8))) = tl(app(sk8,app(sk8,app(sk7,sk8)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_14611]) ).
tcf(c_53829,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk8,app(sk7,sk8))) = tl(app(sk7,app(sk8,app(sk7,sk8)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_14610]) ).
tcf(c_53830,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk8,app(sk7,sk8))) = tl(app(sk4,app(sk8,app(sk7,sk8)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_14609]) ).
tcf(c_53831,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk8,app(sk7,sk8)))) = hd(sk8) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_11903]) ).
tcf(c_53832,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk8,app(sk7,sk8)))) = hd(sk7) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_11902]) ).
tcf(c_53833,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk8,app(sk7,sk8)))) = hd(sk4) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_11901]) ).
tcf(c_53834,plain,
( cyclefreeP(app(sk8,app(sk7,sk8)))
| ( app(app(skaf51(app(sk8,app(sk7,sk8))),cons(skaf49(app(sk8,app(sk7,sk8))),skaf52(app(sk8,app(sk7,sk8))))),cons(skaf50(app(sk8,app(sk7,sk8))),skaf53(app(sk8,app(sk7,sk8))))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_414]) ).
tcf(c_53835,plain,
( totalorderP(app(sk8,app(sk7,sk8)))
| ( app(app(skaf56(app(sk8,app(sk7,sk8))),cons(skaf54(app(sk8,app(sk7,sk8))),skaf57(app(sk8,app(sk7,sk8))))),cons(skaf55(app(sk8,app(sk7,sk8))),skaf58(app(sk8,app(sk7,sk8))))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_413]) ).
tcf(c_53836,plain,
( strictorderP(app(sk8,app(sk7,sk8)))
| ( app(app(skaf61(app(sk8,app(sk7,sk8))),cons(skaf59(app(sk8,app(sk7,sk8))),skaf62(app(sk8,app(sk7,sk8))))),cons(skaf60(app(sk8,app(sk7,sk8))),skaf63(app(sk8,app(sk7,sk8))))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_412]) ).
tcf(c_53837,plain,
( totalorderedP(app(sk8,app(sk7,sk8)))
| ( app(app(skaf66(app(sk8,app(sk7,sk8))),cons(skaf64(app(sk8,app(sk7,sk8))),skaf67(app(sk8,app(sk7,sk8))))),cons(skaf65(app(sk8,app(sk7,sk8))),skaf68(app(sk8,app(sk7,sk8))))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_411]) ).
tcf(c_53838,plain,
( strictorderedP(app(sk8,app(sk7,sk8)))
| ( app(app(skaf71(app(sk8,app(sk7,sk8))),cons(skaf69(app(sk8,app(sk7,sk8))),skaf72(app(sk8,app(sk7,sk8))))),cons(skaf70(app(sk8,app(sk7,sk8))),skaf73(app(sk8,app(sk7,sk8))))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_410]) ).
tcf(c_53839,plain,
( duplicatefreeP(app(sk8,app(sk7,sk8)))
| ( app(app(skaf75(app(sk8,app(sk7,sk8))),cons(skaf74(app(sk8,app(sk7,sk8))),skaf76(app(sk8,app(sk7,sk8))))),cons(skaf74(app(sk8,app(sk7,sk8))),skaf77(app(sk8,app(sk7,sk8))))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_409]) ).
tcf(c_53840,plain,
( equalelemsP(app(sk8,app(sk7,sk8)))
| ( app(skaf80(app(sk8,app(sk7,sk8))),cons(skaf78(app(sk8,app(sk7,sk8))),cons(skaf79(app(sk8,app(sk7,sk8))),skaf81(app(sk8,app(sk7,sk8)))))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_389]) ).
tcf(c_53841,plain,
( ( hd(cons(sk6,app(sk8,app(sk7,sk8)))) = sk6 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_10017]) ).
tcf(c_53842,plain,
( ( app(sk8,app(sk7,sk8)) = nil )
| ( cons(skaf83(app(sk8,app(sk7,sk8))),skaf82(app(sk8,app(sk7,sk8)))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_356]) ).
tcf(c_53843,plain,
( ( app(sk8,app(sk7,sk8)) = nil )
| ( cons(hd(app(sk8,app(sk7,sk8))),tl(app(sk8,app(sk7,sk8)))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_351]) ).
tcf(c_53844,plain,
( ( hd(cons(sk5,app(sk8,app(sk7,sk8)))) = sk5 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_10016]) ).
tcf(c_53845,plain,
( ( tl(cons(sk6,app(sk8,app(sk7,sk8)))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_9887]) ).
tcf(c_53846,plain,
( ( tl(cons(sk5,app(sk8,app(sk7,sk8)))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_9886]) ).
tcf(c_53847,plain,
( duplicatefreeP(app(sk8,app(sk7,sk8)))
| ~ iPr_def_11
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_6471]) ).
tcf(c_53848,plain,
( ( app(nil,app(sk8,app(sk7,sk8))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_321]) ).
tcf(c_53849,plain,
( ( app(app(sk8,app(sk7,sk8)),nil) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_320]) ).
tcf(c_54386,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ rearsegP(X0,app(sk8,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_52456,c_400]) ).
tcf(c_54387,plain,
( ( app(skaf46(app(sk8,app(sk7,sk4)),sk4),sk4) = app(sk8,app(sk7,sk4)) )
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_52456,c_378]) ).
tcf(c_54388,plain,
( ( app(sk8,app(sk7,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_52456,c_375]) ).
tcf(c_54389,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ rearsegP(X0,app(sk8,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54386,c_6486]) ).
tcf(c_54395,plain,
( ( app(sk8,app(sk7,sk4)) = sk4 )
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54388,c_6486]) ).
tcf(c_54400,plain,
( ( app(skaf46(app(sk8,app(sk7,sk4)),sk4),sk4) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54387,c_6486]) ).
tcf(c_54409,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ rearsegP(X0,app(sk8,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_53177,c_400]) ).
tcf(c_54410,plain,
( ( app(skaf46(app(sk8,app(sk7,sk7)),sk7),sk7) = app(sk8,app(sk7,sk7)) )
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_53177,c_378]) ).
tcf(c_54411,plain,
( ( app(sk8,app(sk7,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_53177,c_375]) ).
tcf(c_54412,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ rearsegP(X0,app(sk8,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54409,c_6483]) ).
tcf(c_54418,plain,
( ( app(sk8,app(sk7,sk7)) = sk7 )
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54411,c_6483]) ).
tcf(c_54423,plain,
( ( app(skaf46(app(sk8,app(sk7,sk7)),sk7),sk7) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54410,c_6483]) ).
tcf(c_54432,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ rearsegP(X0,app(sk8,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_53729,c_400]) ).
tcf(c_54433,plain,
( ( app(skaf46(app(sk8,app(sk7,sk8)),sk8),sk8) = app(sk8,app(sk7,sk8)) )
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_53729,c_378]) ).
tcf(c_54434,plain,
( ( app(sk8,app(sk7,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ rearsegP(sk8,app(sk8,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_53729,c_375]) ).
tcf(c_54435,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ rearsegP(X0,app(sk8,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54432,c_6482]) ).
tcf(c_54441,plain,
( ( app(sk8,app(sk7,sk8)) = sk8 )
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ rearsegP(sk8,app(sk8,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54434,c_6482]) ).
tcf(c_54446,plain,
( ( app(skaf46(app(sk8,app(sk7,sk8)),sk8),sk8) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54433,c_6482]) ).
tcf(c_54455,plain,
! [X0: $i] :
( frontsegP(X0,app(sk8,sk7))
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ frontsegP(X0,app(sk8,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_52459,c_401]) ).
tcf(c_54456,plain,
( ( app(app(sk8,sk7),skaf45(app(sk8,app(sk7,sk4)),app(sk8,sk7))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_52459,c_379]) ).
tcf(c_54457,plain,
( ( app(sk8,app(sk7,sk4)) = app(sk8,sk7) )
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ frontsegP(app(sk8,sk7),app(sk8,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_52459,c_376]) ).
tcf(c_54471,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf53(X0)) = nil )
| ( cons(sk5,skaf53(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf53(X0)))
| ( skaf53(X0) != tl(X1) )
| ( hd(cons(sk5,skaf53(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10203,c_424]) ).
tcf(c_54474,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf53(X0)) = nil )
| ( cons(sk5,skaf53(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf53(X0)))
| ( hd(X1) != sk5 )
| ( skaf53(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_54471,c_10671]) ).
tcf(c_54482,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf52(X0)) = nil )
| ( cons(sk5,skaf52(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf52(X0)))
| ( skaf52(X0) != tl(X1) )
| ( hd(cons(sk5,skaf52(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10204,c_424]) ).
tcf(c_54485,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf52(X0)) = nil )
| ( cons(sk5,skaf52(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf52(X0)))
| ( hd(X1) != sk5 )
| ( skaf52(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_54482,c_10672]) ).
tcf(c_54493,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf51(X0)) = nil )
| ( cons(sk5,skaf51(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf51(X0)))
| ( skaf51(X0) != tl(X1) )
| ( hd(cons(sk5,skaf51(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10205,c_424]) ).
tcf(c_54496,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk5,skaf51(X0)) = nil )
| ( cons(sk5,skaf51(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf51(X0)))
| ( hd(X1) != sk5 )
| ( skaf51(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_54493,c_10673]) ).
tcf(c_54506,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf82(X0)) = nil )
| ( cons(sk6,skaf82(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf82(X0)))
| ( skaf82(X0) != tl(X1) )
| ( hd(cons(sk6,skaf82(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10312,c_424]) ).
tcf(c_54509,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf82(X0)) = nil )
| ( cons(sk6,skaf82(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf82(X0)))
| ( hd(X1) != sk6 )
| ( skaf82(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_54506,c_11225]) ).
tcf(c_54517,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf81(X0)) = nil )
| ( cons(sk6,skaf81(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf81(X0)))
| ( skaf81(X0) != tl(X1) )
| ( hd(cons(sk6,skaf81(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10313,c_424]) ).
tcf(c_54520,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf81(X0)) = nil )
| ( cons(sk6,skaf81(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf81(X0)))
| ( hd(X1) != sk6 )
| ( skaf81(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_54517,c_11226]) ).
tcf(c_54532,plain,
( frontsegP(sk4,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_48324,c_13542]) ).
tcf(c_54533,plain,
( frontsegP(sk7,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_48324,c_13538]) ).
tcf(c_54534,plain,
( frontsegP(sk8,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_48324,c_13534]) ).
tcf(c_54535,plain,
( ( skaf82(iPr_def_15) = nil )
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_48324,c_331]) ).
tcf(c_54536,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_48324,c_401]) ).
tcf(c_54537,plain,
( ( app(skaf82(iPr_def_15),skaf45(nil,skaf82(iPr_def_15))) = nil )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_48324,c_379]) ).
tcf(c_54538,plain,
( ( skaf82(iPr_def_15) = nil )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),nil) ),
inference(superposition,[status(thm)],[c_48324,c_376]) ).
tcf(c_54539,plain,
( frontsegP(sk8,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54534,c_260]) ).
tcf(c_54542,plain,
( frontsegP(sk7,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54533,c_260]) ).
tcf(c_54545,plain,
( frontsegP(sk4,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54532,c_260]) ).
tcf(c_54548,plain,
( ( skaf82(iPr_def_15) = nil )
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54535,c_260]) ).
tcf(c_54552,plain,
( ( app(skaf82(iPr_def_15),skaf45(nil,skaf82(iPr_def_15))) = nil )
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54537,c_255,c_260]) ).
tcf(c_54555,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54536,c_255,c_260]) ).
tcf(c_54564,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,sk8) ),
inference(superposition,[status(thm)],[c_53122,c_401]) ).
tcf(c_54565,plain,
( ( app(skaf82(iPr_def_15),skaf45(sk8,skaf82(iPr_def_15))) = sk8 )
| ~ ssList(sk8)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_53122,c_379]) ).
tcf(c_54566,plain,
( ( skaf82(iPr_def_15) = sk8 )
| ~ ssList(sk8)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),sk8) ),
inference(superposition,[status(thm)],[c_53122,c_376]) ).
tcf(c_54567,plain,
( ( skaf82(iPr_def_15) = sk8 )
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54566,c_6482,c_260]) ).
tcf(c_54571,plain,
( ( app(skaf82(iPr_def_15),skaf45(sk8,skaf82(iPr_def_15))) = sk8 )
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54565,c_6482,c_260]) ).
tcf(c_54574,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(X0,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54564,c_6482,c_260]) ).
tcf(c_54761,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,sk7) ),
inference(superposition,[status(thm)],[c_53125,c_401]) ).
tcf(c_54762,plain,
( ( app(skaf82(iPr_def_15),skaf45(sk7,skaf82(iPr_def_15))) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_53125,c_379]) ).
tcf(c_54763,plain,
( ( skaf82(iPr_def_15) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),sk7) ),
inference(superposition,[status(thm)],[c_53125,c_376]) ).
tcf(c_54764,plain,
( frontsegP(iPr_def_16,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_53125,c_26395]) ).
tcf(c_54765,plain,
( frontsegP(iPr_def_15,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_53125,c_24750]) ).
tcf(c_54766,plain,
( frontsegP(iPr_def_13,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_53125,c_13555]) ).
tcf(c_54767,plain,
( frontsegP(iPr_def_13,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54766,c_260]) ).
tcf(c_54770,plain,
( frontsegP(iPr_def_15,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54765,c_260]) ).
tcf(c_54773,plain,
( frontsegP(iPr_def_16,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54764,c_260]) ).
tcf(c_54776,plain,
( ( skaf82(iPr_def_15) = sk7 )
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54763,c_6483,c_260]) ).
tcf(c_54780,plain,
( ( app(skaf82(iPr_def_15),skaf45(sk7,skaf82(iPr_def_15))) = sk7 )
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54762,c_6483,c_260]) ).
tcf(c_54783,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(X0,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54761,c_6483,c_260]) ).
tcf(c_54792,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,sk4) ),
inference(superposition,[status(thm)],[c_53128,c_401]) ).
tcf(c_54793,plain,
( ( app(skaf82(iPr_def_15),skaf45(sk4,skaf82(iPr_def_15))) = sk4 )
| ~ ssList(sk4)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_53128,c_379]) ).
tcf(c_54794,plain,
( ( skaf82(iPr_def_15) = sk4 )
| ~ ssList(sk4)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),sk4) ),
inference(superposition,[status(thm)],[c_53128,c_376]) ).
tcf(c_54795,plain,
( ( skaf82(iPr_def_15) = sk4 )
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54794,c_6486,c_260]) ).
tcf(c_54799,plain,
( ( app(skaf82(iPr_def_15),skaf45(sk4,skaf82(iPr_def_15))) = sk4 )
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54793,c_6486,c_260]) ).
tcf(c_54802,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(X0,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54792,c_6486,c_260]) ).
tcf(c_54811,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ segmentP(X0,app(sk8,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_52480,c_399]) ).
tcf(c_54812,plain,
( ( app(app(skaf47(app(sk8,app(sk7,sk4)),sk7),sk7),skaf48(sk7,app(sk8,app(sk7,sk4)))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(sk7)
| ~ ssList(app(sk8,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_52480,c_415]) ).
tcf(c_54813,plain,
( ( app(sk8,app(sk7,sk4)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_52480,c_374]) ).
tcf(c_54814,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ segmentP(X0,app(sk8,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54811,c_6483]) ).
tcf(c_54819,plain,
( ( app(sk8,app(sk7,sk4)) = sk7 )
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54813,c_6483]) ).
tcf(c_54823,plain,
( ( app(app(skaf47(app(sk8,app(sk7,sk4)),sk7),sk7),skaf48(sk7,app(sk8,app(sk7,sk4)))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54812,c_6483]) ).
tcf(c_54890,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X1)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ segmentP(X0,app(sk8,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_52483,c_399]) ).
tcf(c_54891,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk8,app(sk7,sk4)),X0),X0),skaf48(X0,app(sk8,app(sk7,sk4)))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk8,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_52483,c_415]) ).
tcf(c_54892,plain,
! [X0: $i] :
( ( app(sk8,app(sk7,sk4)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ segmentP(X0,app(sk8,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_52483,c_374]) ).
tcf(c_54894,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk8,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_52483,c_28549]) ).
tcf(c_54895,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk8,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_52483,c_27097]) ).
tcf(c_54896,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk8,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_52483,c_27109]) ).
tcf(c_54897,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk7)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk8,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54896,c_24748]) ).
tcf(c_54901,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk7)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk8,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54895,c_9020]) ).
tcf(c_54905,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk8)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk8,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54894,c_9020]) ).
tcf(c_54930,plain,
! [X0: $i] :
( frontsegP(X0,app(sk8,sk7))
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ frontsegP(X0,app(sk8,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_53180,c_401]) ).
tcf(c_54931,plain,
( ( app(app(sk8,sk7),skaf45(app(sk8,app(sk7,sk7)),app(sk8,sk7))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_53180,c_379]) ).
tcf(c_54932,plain,
( ( app(sk8,app(sk7,sk7)) = app(sk8,sk7) )
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ frontsegP(app(sk8,sk7),app(sk8,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_53180,c_376]) ).
tcf(c_54950,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ segmentP(X0,app(sk8,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_53187,c_399]) ).
tcf(c_54951,plain,
( ( app(app(skaf47(app(sk8,app(sk7,sk7)),sk7),sk7),skaf48(sk7,app(sk8,app(sk7,sk7)))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(sk7)
| ~ ssList(app(sk8,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_53187,c_415]) ).
tcf(c_54952,plain,
( ( app(sk8,app(sk7,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_53187,c_374]) ).
tcf(c_54953,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ segmentP(X0,app(sk8,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54950,c_6483]) ).
tcf(c_54958,plain,
( ( app(sk8,app(sk7,sk7)) = sk7 )
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54952,c_6483]) ).
tcf(c_54962,plain,
( ( app(app(skaf47(app(sk8,app(sk7,sk7)),sk7),sk7),skaf48(sk7,app(sk8,app(sk7,sk7)))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54951,c_6483]) ).
tcf(c_54972,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X1)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ segmentP(X0,app(sk8,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_53190,c_399]) ).
tcf(c_54973,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk8,app(sk7,sk7)),X0),X0),skaf48(X0,app(sk8,app(sk7,sk7)))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk8,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_53190,c_415]) ).
tcf(c_54974,plain,
! [X0: $i] :
( ( app(sk8,app(sk7,sk7)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ segmentP(X0,app(sk8,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_53190,c_374]) ).
tcf(c_54976,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk8,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_53190,c_28549]) ).
tcf(c_54977,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk8,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_53190,c_27097]) ).
tcf(c_54978,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk8,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_53190,c_27109]) ).
tcf(c_54979,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk7)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk8,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54978,c_24748]) ).
tcf(c_54983,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk7)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk8,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54977,c_9020]) ).
tcf(c_54987,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk8)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk8,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54976,c_9020]) ).
tcf(c_55012,plain,
! [X0: $i] :
( frontsegP(X0,app(sk8,sk7))
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ frontsegP(X0,app(sk8,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_53732,c_401]) ).
tcf(c_55013,plain,
( ( app(app(sk8,sk7),skaf45(app(sk8,app(sk7,sk8)),app(sk8,sk7))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_53732,c_379]) ).
tcf(c_55014,plain,
( ( app(sk8,app(sk7,sk8)) = app(sk8,sk7) )
| ~ ssList(app(sk8,sk7))
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ frontsegP(app(sk8,sk7),app(sk8,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_53732,c_376]) ).
tcf(c_55032,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ segmentP(X0,app(sk8,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_53739,c_399]) ).
tcf(c_55033,plain,
( ( app(app(skaf47(app(sk8,app(sk7,sk8)),sk7),sk7),skaf48(sk7,app(sk8,app(sk7,sk8)))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(sk7)
| ~ ssList(app(sk8,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_53739,c_415]) ).
tcf(c_55034,plain,
( ( app(sk8,app(sk7,sk8)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_53739,c_374]) ).
tcf(c_55035,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ segmentP(X0,app(sk8,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55032,c_6483]) ).
tcf(c_55040,plain,
( ( app(sk8,app(sk7,sk8)) = sk7 )
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55034,c_6483]) ).
tcf(c_55044,plain,
( ( app(app(skaf47(app(sk8,app(sk7,sk8)),sk7),sk7),skaf48(sk7,app(sk8,app(sk7,sk8)))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55033,c_6483]) ).
tcf(c_55054,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X1)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ segmentP(X0,app(sk8,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_53742,c_399]) ).
tcf(c_55055,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk8,app(sk7,sk8)),X0),X0),skaf48(X0,app(sk8,app(sk7,sk8)))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk8,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_53742,c_415]) ).
tcf(c_55056,plain,
! [X0: $i] :
( ( app(sk8,app(sk7,sk8)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ segmentP(X0,app(sk8,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_53742,c_374]) ).
tcf(c_55058,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk8,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_53742,c_28549]) ).
tcf(c_55059,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk8,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_53742,c_27097]) ).
tcf(c_55060,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk8,app(sk7,sk8))) ),
inference(superposition,[status(thm)],[c_53742,c_27109]) ).
tcf(c_55061,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk7)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(app(sk8,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55060,c_24748]) ).
tcf(c_55065,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk7)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk8,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55059,c_9020]) ).
tcf(c_55069,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk8)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(app(sk8,app(sk7,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55058,c_9020]) ).
tcf(c_55090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk5,skaf48(X0,X1)) = nil )
| ( cons(sk5,skaf48(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk5,skaf48(X0,X1)))
| ( skaf48(X0,X1) != tl(X2) )
| ( hd(cons(sk5,skaf48(X0,X1))) != hd(X2) ) ),
inference(superposition,[status(thm)],[c_10206,c_424]) ).
tcf(c_55093,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk5,skaf48(X0,X1)) = nil )
| ( cons(sk5,skaf48(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk5,skaf48(X0,X1)))
| ( hd(X2) != sk5 )
| ( skaf48(X0,X1) != tl(X2) ) ),
inference(light_normalisation,[status(thm)],[c_55090,c_10674]) ).
tcf(c_55101,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf80(X0)) = nil )
| ( cons(sk6,skaf80(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf80(X0)))
| ( skaf80(X0) != tl(X1) )
| ( hd(cons(sk6,skaf80(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10314,c_424]) ).
tcf(c_55104,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf80(X0)) = nil )
| ( cons(sk6,skaf80(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf80(X0)))
| ( hd(X1) != sk6 )
| ( skaf80(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_55101,c_11227]) ).
tcf(c_55112,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf77(X0)) = nil )
| ( cons(sk6,skaf77(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf77(X0)))
| ( skaf77(X0) != tl(X1) )
| ( hd(cons(sk6,skaf77(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10315,c_424]) ).
tcf(c_55115,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf77(X0)) = nil )
| ( cons(sk6,skaf77(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf77(X0)))
| ( hd(X1) != sk6 )
| ( skaf77(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_55112,c_11228]) ).
tcf(c_55123,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf76(X0)) = nil )
| ( cons(sk6,skaf76(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf76(X0)))
| ( skaf76(X0) != tl(X1) )
| ( hd(cons(sk6,skaf76(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10316,c_424]) ).
tcf(c_55126,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf76(X0)) = nil )
| ( cons(sk6,skaf76(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf76(X0)))
| ( hd(X1) != sk6 )
| ( skaf76(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_55123,c_11229]) ).
tcf(c_55134,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf75(X0)) = nil )
| ( cons(sk6,skaf75(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf75(X0)))
| ( skaf75(X0) != tl(X1) )
| ( hd(cons(sk6,skaf75(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10317,c_424]) ).
tcf(c_55137,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf75(X0)) = nil )
| ( cons(sk6,skaf75(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf75(X0)))
| ( hd(X1) != sk6 )
| ( skaf75(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_55134,c_11230]) ).
tcf(c_55149,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,sk8) ),
inference(superposition,[status(thm)],[c_54539,c_401]) ).
tcf(c_55150,plain,
( ( app(skaf82(iPr_def_15),skaf45(sk8,skaf82(iPr_def_15))) = sk8 )
| ~ ssList(sk8)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_54539,c_379]) ).
tcf(c_55151,plain,
( ( skaf82(iPr_def_15) = sk8 )
| ~ ssList(sk8)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),sk8) ),
inference(superposition,[status(thm)],[c_54539,c_376]) ).
tcf(c_55152,plain,
( ( skaf82(iPr_def_15) = sk8 )
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55151,c_6482,c_260]) ).
tcf(c_55156,plain,
( ( app(skaf82(iPr_def_15),skaf45(sk8,skaf82(iPr_def_15))) = sk8 )
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55150,c_6482,c_260]) ).
tcf(c_55159,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(X0,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55149,c_6482,c_260]) ).
tcf(c_55168,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,sk7) ),
inference(superposition,[status(thm)],[c_54542,c_401]) ).
tcf(c_55169,plain,
( ( app(skaf82(iPr_def_15),skaf45(sk7,skaf82(iPr_def_15))) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_54542,c_379]) ).
tcf(c_55170,plain,
( ( skaf82(iPr_def_15) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),sk7) ),
inference(superposition,[status(thm)],[c_54542,c_376]) ).
tcf(c_55171,plain,
( frontsegP(iPr_def_16,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_54542,c_26395]) ).
tcf(c_55172,plain,
( frontsegP(iPr_def_15,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_54542,c_24750]) ).
tcf(c_55173,plain,
( frontsegP(iPr_def_13,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_54542,c_13555]) ).
tcf(c_55174,plain,
( frontsegP(iPr_def_13,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55173,c_260]) ).
tcf(c_55177,plain,
( frontsegP(iPr_def_15,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55172,c_260]) ).
tcf(c_55180,plain,
( frontsegP(iPr_def_16,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55171,c_260]) ).
tcf(c_55183,plain,
( ( skaf82(iPr_def_15) = sk7 )
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55170,c_6483,c_260]) ).
tcf(c_55187,plain,
( ( app(skaf82(iPr_def_15),skaf45(sk7,skaf82(iPr_def_15))) = sk7 )
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55169,c_6483,c_260]) ).
tcf(c_55190,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(X0,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55168,c_6483,c_260]) ).
tcf(c_55388,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,sk4) ),
inference(superposition,[status(thm)],[c_54545,c_401]) ).
tcf(c_55389,plain,
( ( app(skaf82(iPr_def_15),skaf45(sk4,skaf82(iPr_def_15))) = sk4 )
| ~ ssList(sk4)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_54545,c_379]) ).
tcf(c_55390,plain,
( ( skaf82(iPr_def_15) = sk4 )
| ~ ssList(sk4)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),sk4) ),
inference(superposition,[status(thm)],[c_54545,c_376]) ).
tcf(c_55391,plain,
( ( skaf82(iPr_def_15) = sk4 )
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55390,c_6486,c_260]) ).
tcf(c_55395,plain,
( ( app(skaf82(iPr_def_15),skaf45(sk4,skaf82(iPr_def_15))) = sk4 )
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55389,c_6486,c_260]) ).
tcf(c_55398,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(X0,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55388,c_6486,c_260]) ).
tcf(c_55453,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_54767,c_401]) ).
tcf(c_55454,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_13,skaf82(iPr_def_15))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_54767,c_379]) ).
tcf(c_55455,plain,
( ( skaf82(iPr_def_15) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_13) ),
inference(superposition,[status(thm)],[c_54767,c_376]) ).
tcf(c_55456,plain,
( ( skaf82(iPr_def_15) = iPr_def_13 )
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55455,c_9527,c_260]) ).
tcf(c_55460,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_13,skaf82(iPr_def_15))) = iPr_def_13 )
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55454,c_9527,c_260]) ).
tcf(c_55463,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55453,c_9527,c_260]) ).
tcf(c_55508,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk5,skaf47(X0,X1)) = nil )
| ( cons(sk5,skaf47(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk5,skaf47(X0,X1)))
| ( skaf47(X0,X1) != tl(X2) )
| ( hd(cons(sk5,skaf47(X0,X1))) != hd(X2) ) ),
inference(superposition,[status(thm)],[c_10207,c_424]) ).
tcf(c_55511,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk5,skaf47(X0,X1)) = nil )
| ( cons(sk5,skaf47(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk5,skaf47(X0,X1)))
| ( hd(X2) != sk5 )
| ( skaf47(X0,X1) != tl(X2) ) ),
inference(light_normalisation,[status(thm)],[c_55508,c_10675]) ).
tcf(c_55519,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf73(X0)) = nil )
| ( cons(sk6,skaf73(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf73(X0)))
| ( skaf73(X0) != tl(X1) )
| ( hd(cons(sk6,skaf73(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10318,c_424]) ).
tcf(c_55522,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf73(X0)) = nil )
| ( cons(sk6,skaf73(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf73(X0)))
| ( hd(X1) != sk6 )
| ( skaf73(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_55519,c_11231]) ).
tcf(c_55530,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf72(X0)) = nil )
| ( cons(sk6,skaf72(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf72(X0)))
| ( skaf72(X0) != tl(X1) )
| ( hd(cons(sk6,skaf72(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10319,c_424]) ).
tcf(c_55533,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf72(X0)) = nil )
| ( cons(sk6,skaf72(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf72(X0)))
| ( hd(X1) != sk6 )
| ( skaf72(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_55530,c_11232]) ).
tcf(c_55541,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf71(X0)) = nil )
| ( cons(sk6,skaf71(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf71(X0)))
| ( skaf71(X0) != tl(X1) )
| ( hd(cons(sk6,skaf71(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10320,c_424]) ).
tcf(c_55544,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf71(X0)) = nil )
| ( cons(sk6,skaf71(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf71(X0)))
| ( hd(X1) != sk6 )
| ( skaf71(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_55541,c_11233]) ).
tcf(c_55552,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf68(X0)) = nil )
| ( cons(sk6,skaf68(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf68(X0)))
| ( skaf68(X0) != tl(X1) )
| ( hd(cons(sk6,skaf68(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10321,c_424]) ).
tcf(c_55555,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf68(X0)) = nil )
| ( cons(sk6,skaf68(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf68(X0)))
| ( hd(X1) != sk6 )
| ( skaf68(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_55552,c_11234]) ).
tcf(c_55567,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_54770,c_401]) ).
tcf(c_55568,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_15,skaf82(iPr_def_15))) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_54770,c_379]) ).
tcf(c_55569,plain,
( ( skaf82(iPr_def_15) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_54770,c_376]) ).
tcf(c_55571,plain,
( ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55569,c_48320,c_24748,c_260]) ).
tcf(c_55574,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_15,skaf82(iPr_def_15))) = iPr_def_15 )
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55568,c_24748,c_260]) ).
tcf(c_55577,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55567,c_24748,c_260]) ).
tcf(c_55586,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_54773,c_401]) ).
tcf(c_55587,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_16,skaf82(iPr_def_15))) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_54773,c_379]) ).
tcf(c_55588,plain,
( ( skaf82(iPr_def_15) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_16) ),
inference(superposition,[status(thm)],[c_54773,c_376]) ).
tcf(c_55589,plain,
( ( skaf82(iPr_def_15) = iPr_def_16 )
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55588,c_9020,c_260]) ).
tcf(c_55593,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_16,skaf82(iPr_def_15))) = iPr_def_16 )
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55587,c_9020,c_260]) ).
tcf(c_55596,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55586,c_9020,c_260]) ).
tcf(c_55605,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_55174,c_401]) ).
tcf(c_55606,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_13,skaf82(iPr_def_15))) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55174,c_379]) ).
tcf(c_55607,plain,
( ( skaf82(iPr_def_15) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_13) ),
inference(superposition,[status(thm)],[c_55174,c_376]) ).
tcf(c_55608,plain,
( ( skaf82(iPr_def_15) = iPr_def_13 )
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55607,c_9527,c_260]) ).
tcf(c_55612,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_13,skaf82(iPr_def_15))) = iPr_def_13 )
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55606,c_9527,c_260]) ).
tcf(c_55615,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55605,c_9527,c_260]) ).
tcf(c_55668,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_55177,c_401]) ).
tcf(c_55669,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_15,skaf82(iPr_def_15))) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55177,c_379]) ).
tcf(c_55670,plain,
( ( skaf82(iPr_def_15) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_55177,c_376]) ).
tcf(c_55672,plain,
( ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55670,c_48320,c_24748,c_260]) ).
tcf(c_55675,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_15,skaf82(iPr_def_15))) = iPr_def_15 )
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55669,c_24748,c_260]) ).
tcf(c_55678,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55668,c_24748,c_260]) ).
tcf(c_55736,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(global_subsumption_just,[status(thm)],[c_54574,c_307,c_53138]) ).
tcf(c_55744,plain,
( frontsegP(sk4,skaf82(iPr_def_15))
| ~ ssList(nil)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55736,c_13542]) ).
tcf(c_55745,plain,
( frontsegP(sk7,skaf82(iPr_def_15))
| ~ ssList(nil)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55736,c_13538]) ).
tcf(c_55746,plain,
( frontsegP(sk8,skaf82(iPr_def_15))
| ~ ssList(nil)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55736,c_13534]) ).
tcf(c_55747,plain,
( ( skaf82(iPr_def_15) = nil )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55736,c_331]) ).
tcf(c_55748,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_55736,c_401]) ).
tcf(c_55749,plain,
! [X0: $i] :
( ( app(skaf82(iPr_def_15),skaf45(X0,skaf82(iPr_def_15))) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55736,c_379]) ).
tcf(c_55750,plain,
! [X0: $i] :
( ( skaf82(iPr_def_15) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),X0) ),
inference(superposition,[status(thm)],[c_55736,c_376]) ).
tcf(c_55751,plain,
( frontsegP(iPr_def_16,skaf82(iPr_def_15))
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55736,c_26395]) ).
tcf(c_55752,plain,
( frontsegP(iPr_def_15,skaf82(iPr_def_15))
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55736,c_24750]) ).
tcf(c_55753,plain,
( frontsegP(iPr_def_13,skaf82(iPr_def_15))
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55736,c_13555]) ).
tcf(c_55754,plain,
( frontsegP(iPr_def_16,skaf82(iPr_def_15))
| ~ ssList(iPr_def_15)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55736,c_26179]) ).
tcf(c_55755,plain,
( frontsegP(cons(sk6,sk4),skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(skaf46(cons(sk6,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_55736,c_34374]) ).
tcf(c_55756,plain,
( frontsegP(cons(sk6,sk7),skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(skaf46(cons(sk6,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_55736,c_34398]) ).
tcf(c_55757,plain,
( frontsegP(cons(sk6,sk8),skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(skaf46(cons(sk6,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_55736,c_34422]) ).
tcf(c_55766,plain,
( frontsegP(cons(sk6,sk8),skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55757,c_260,c_297]) ).
tcf(c_55769,plain,
( frontsegP(cons(sk6,sk7),skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55756,c_260,c_297]) ).
tcf(c_55772,plain,
( frontsegP(cons(sk6,sk4),skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55755,c_260,c_297]) ).
tcf(c_55775,plain,
! [X0: $i] :
( ( skaf82(iPr_def_15) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55750,c_260]) ).
tcf(c_55780,plain,
! [X0: $i] :
( ( app(skaf82(iPr_def_15),skaf45(X0,skaf82(iPr_def_15))) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55749,c_260]) ).
tcf(c_55784,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55748,c_260]) ).
tcf(c_55804,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk5,skaf46(X0,X1)) = nil )
| ( cons(sk5,skaf46(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk5,skaf46(X0,X1)))
| ( skaf46(X0,X1) != tl(X2) )
| ( hd(cons(sk5,skaf46(X0,X1))) != hd(X2) ) ),
inference(superposition,[status(thm)],[c_10208,c_424]) ).
tcf(c_55807,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk5,skaf46(X0,X1)) = nil )
| ( cons(sk5,skaf46(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk5,skaf46(X0,X1)))
| ( hd(X2) != sk5 )
| ( skaf46(X0,X1) != tl(X2) ) ),
inference(light_normalisation,[status(thm)],[c_55804,c_10676]) ).
tcf(c_55815,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf67(X0)) = nil )
| ( cons(sk6,skaf67(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf67(X0)))
| ( skaf67(X0) != tl(X1) )
| ( hd(cons(sk6,skaf67(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10322,c_424]) ).
tcf(c_55818,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf67(X0)) = nil )
| ( cons(sk6,skaf67(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf67(X0)))
| ( hd(X1) != sk6 )
| ( skaf67(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_55815,c_11235]) ).
tcf(c_55826,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf66(X0)) = nil )
| ( cons(sk6,skaf66(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf66(X0)))
| ( skaf66(X0) != tl(X1) )
| ( hd(cons(sk6,skaf66(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10323,c_424]) ).
tcf(c_55829,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf66(X0)) = nil )
| ( cons(sk6,skaf66(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf66(X0)))
| ( hd(X1) != sk6 )
| ( skaf66(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_55826,c_11236]) ).
tcf(c_55852,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf63(X0)) = nil )
| ( cons(sk6,skaf63(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf63(X0)))
| ( skaf63(X0) != tl(X1) )
| ( hd(cons(sk6,skaf63(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10324,c_424]) ).
tcf(c_55855,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf63(X0)) = nil )
| ( cons(sk6,skaf63(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf63(X0)))
| ( hd(X1) != sk6 )
| ( skaf63(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_55852,c_11237]) ).
tcf(c_55923,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf62(X0)) = nil )
| ( cons(sk6,skaf62(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf62(X0)))
| ( skaf62(X0) != tl(X1) )
| ( hd(cons(sk6,skaf62(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10325,c_424]) ).
tcf(c_55926,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf62(X0)) = nil )
| ( cons(sk6,skaf62(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf62(X0)))
| ( hd(X1) != sk6 )
| ( skaf62(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_55923,c_11238]) ).
tcf(c_55938,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_55180,c_401]) ).
tcf(c_55939,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_16,skaf82(iPr_def_15))) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55180,c_379]) ).
tcf(c_55940,plain,
( ( skaf82(iPr_def_15) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_16) ),
inference(superposition,[status(thm)],[c_55180,c_376]) ).
tcf(c_55941,plain,
( ( skaf82(iPr_def_15) = iPr_def_16 )
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55940,c_9020,c_260]) ).
tcf(c_55945,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_16,skaf82(iPr_def_15))) = iPr_def_16 )
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55939,c_9020,c_260]) ).
tcf(c_55948,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55938,c_9020,c_260]) ).
tcf(c_55953,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf61(X0)) = nil )
| ( cons(sk6,skaf61(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf61(X0)))
| ( skaf61(X0) != tl(X1) )
| ( hd(cons(sk6,skaf61(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10326,c_424]) ).
tcf(c_55956,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf61(X0)) = nil )
| ( cons(sk6,skaf61(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf61(X0)))
| ( hd(X1) != sk6 )
| ( skaf61(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_55953,c_11239]) ).
tcf(c_55964,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf58(X0)) = nil )
| ( cons(sk6,skaf58(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf58(X0)))
| ( skaf58(X0) != tl(X1) )
| ( hd(cons(sk6,skaf58(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10327,c_424]) ).
tcf(c_55967,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf58(X0)) = nil )
| ( cons(sk6,skaf58(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf58(X0)))
| ( hd(X1) != sk6 )
| ( skaf58(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_55964,c_11240]) ).
tcf(c_55975,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf57(X0)) = nil )
| ( cons(sk6,skaf57(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf57(X0)))
| ( skaf57(X0) != tl(X1) )
| ( hd(cons(sk6,skaf57(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10328,c_424]) ).
tcf(c_55978,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf57(X0)) = nil )
| ( cons(sk6,skaf57(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf57(X0)))
| ( hd(X1) != sk6 )
| ( skaf57(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_55975,c_11241]) ).
tcf(c_55990,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(global_subsumption_just,[status(thm)],[c_55159,c_307,c_54555]) ).
tcf(c_55998,plain,
( frontsegP(sk4,skaf82(iPr_def_15))
| ~ ssList(nil)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55990,c_13542]) ).
tcf(c_55999,plain,
( frontsegP(sk7,skaf82(iPr_def_15))
| ~ ssList(nil)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55990,c_13538]) ).
tcf(c_56000,plain,
( frontsegP(sk8,skaf82(iPr_def_15))
| ~ ssList(nil)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55990,c_13534]) ).
tcf(c_56001,plain,
( ( skaf82(iPr_def_15) = nil )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55990,c_331]) ).
tcf(c_56002,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_55990,c_401]) ).
tcf(c_56003,plain,
! [X0: $i] :
( ( app(skaf82(iPr_def_15),skaf45(X0,skaf82(iPr_def_15))) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55990,c_379]) ).
tcf(c_56004,plain,
! [X0: $i] :
( ( skaf82(iPr_def_15) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),X0) ),
inference(superposition,[status(thm)],[c_55990,c_376]) ).
tcf(c_56005,plain,
( frontsegP(iPr_def_16,skaf82(iPr_def_15))
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55990,c_26395]) ).
tcf(c_56006,plain,
( frontsegP(iPr_def_15,skaf82(iPr_def_15))
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55990,c_24750]) ).
tcf(c_56007,plain,
( frontsegP(iPr_def_13,skaf82(iPr_def_15))
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55990,c_13555]) ).
tcf(c_56008,plain,
( frontsegP(iPr_def_16,skaf82(iPr_def_15))
| ~ ssList(iPr_def_15)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55990,c_26179]) ).
tcf(c_56009,plain,
( frontsegP(cons(sk6,sk4),skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(skaf46(cons(sk6,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_55990,c_34374]) ).
tcf(c_56010,plain,
( frontsegP(cons(sk6,sk7),skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(skaf46(cons(sk6,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_55990,c_34398]) ).
tcf(c_56011,plain,
( frontsegP(cons(sk6,sk8),skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(skaf46(cons(sk6,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_55990,c_34422]) ).
tcf(c_56020,plain,
( frontsegP(cons(sk6,sk8),skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56011,c_260,c_297]) ).
tcf(c_56023,plain,
( frontsegP(cons(sk6,sk7),skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56010,c_260,c_297]) ).
tcf(c_56026,plain,
( frontsegP(cons(sk6,sk4),skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56009,c_260,c_297]) ).
tcf(c_56029,plain,
! [X0: $i] :
( ( skaf82(iPr_def_15) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56004,c_260]) ).
tcf(c_56034,plain,
! [X0: $i] :
( ( app(skaf82(iPr_def_15),skaf45(X0,skaf82(iPr_def_15))) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56003,c_260]) ).
tcf(c_56038,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56002,c_260]) ).
tcf(c_56054,plain,
( ( sk4 = nil )
| ~ ssList(nil)
| ( cons(sk6,sk4) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9515,c_51221]) ).
tcf(c_56055,plain,
( ( skaf45(iPr_def_14,iPr_def_14) = sk4 )
| ~ ssList(skaf45(iPr_def_14,iPr_def_14))
| ( cons(sk6,sk4) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13145,c_51221]) ).
tcf(c_56057,plain,
( ( sk4 = sk7 )
| ~ ssList(sk7)
| ( cons(sk6,sk4) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_28959,c_51221]) ).
tcf(c_56058,plain,
( ( sk4 = sk8 )
| ~ ssList(sk8)
| ( cons(sk6,sk4) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_28960,c_51221]) ).
tcf(c_56059,plain,
( ( sk4 = nil )
| ( cons(sk6,sk4) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56054,c_255]) ).
tcf(c_56062,plain,
( ( sk4 = sk8 )
| ( cons(sk6,sk4) != cons(sk6,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56058,c_6482]) ).
tcf(c_56065,plain,
( ( sk4 = sk7 )
| ( cons(sk6,sk4) != cons(sk6,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56057,c_6483]) ).
tcf(c_56068,plain,
( ( skaf45(iPr_def_14,iPr_def_14) = sk4 )
| ( cons(sk6,sk4) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56055,c_298]) ).
tcf(c_56092,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk5,skaf45(X0,X1)) = nil )
| ( cons(sk5,skaf45(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk5,skaf45(X0,X1)))
| ( skaf45(X0,X1) != tl(X2) )
| ( hd(cons(sk5,skaf45(X0,X1))) != hd(X2) ) ),
inference(superposition,[status(thm)],[c_10209,c_424]) ).
tcf(c_56095,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk5,skaf45(X0,X1)) = nil )
| ( cons(sk5,skaf45(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk5,skaf45(X0,X1)))
| ( hd(X2) != sk5 )
| ( skaf45(X0,X1) != tl(X2) ) ),
inference(light_normalisation,[status(thm)],[c_56092,c_10677]) ).
tcf(c_56103,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf56(X0)) = nil )
| ( cons(sk6,skaf56(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf56(X0)))
| ( skaf56(X0) != tl(X1) )
| ( hd(cons(sk6,skaf56(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10329,c_424]) ).
tcf(c_56106,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf56(X0)) = nil )
| ( cons(sk6,skaf56(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf56(X0)))
| ( hd(X1) != sk6 )
| ( skaf56(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_56103,c_11242]) ).
tcf(c_56114,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf53(X0)) = nil )
| ( cons(sk6,skaf53(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf53(X0)))
| ( skaf53(X0) != tl(X1) )
| ( hd(cons(sk6,skaf53(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10330,c_424]) ).
tcf(c_56117,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf53(X0)) = nil )
| ( cons(sk6,skaf53(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf53(X0)))
| ( hd(X1) != sk6 )
| ( skaf53(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_56114,c_11243]) ).
tcf(c_56125,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf52(X0)) = nil )
| ( cons(sk6,skaf52(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf52(X0)))
| ( skaf52(X0) != tl(X1) )
| ( hd(cons(sk6,skaf52(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10331,c_424]) ).
tcf(c_56128,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf52(X0)) = nil )
| ( cons(sk6,skaf52(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf52(X0)))
| ( hd(X1) != sk6 )
| ( skaf52(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_56125,c_11244]) ).
tcf(c_56136,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf51(X0)) = nil )
| ( cons(sk6,skaf51(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf51(X0)))
| ( skaf51(X0) != tl(X1) )
| ( hd(cons(sk6,skaf51(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_10332,c_424]) ).
tcf(c_56139,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(sk6,skaf51(X0)) = nil )
| ( cons(sk6,skaf51(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(sk6,skaf51(X0)))
| ( hd(X1) != sk6 )
| ( skaf51(X0) != tl(X1) ) ),
inference(light_normalisation,[status(thm)],[c_56136,c_11245]) ).
tcf(c_56159,plain,
( ( app(sk4,sk4) = iPr_def_14 )
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_37935,c_51225]) ).
tcf(c_56160,plain,
( ( app(sk7,sk4) = iPr_def_14 )
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_40759,c_51225]) ).
tcf(c_56161,plain,
( ( app(sk8,sk4) = iPr_def_14 )
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_42873,c_51225]) ).
tcf(c_56162,plain,
( ( app(sk4,sk7) = iPr_def_14 )
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_45960,c_51225]) ).
tcf(c_56163,plain,
( ( app(sk7,sk7) = iPr_def_14 )
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_49245,c_51225]) ).
tcf(c_56164,plain,
( ( app(sk8,sk7) = iPr_def_14 )
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_52217,c_51225]) ).
tcf(c_56189,plain,
( ( sk7 = nil )
| ~ ssList(nil)
| ( cons(sk6,sk7) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9515,c_51331]) ).
tcf(c_56190,plain,
( ( skaf45(iPr_def_14,iPr_def_14) = sk7 )
| ~ ssList(skaf45(iPr_def_14,iPr_def_14))
| ( cons(sk6,sk7) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13145,c_51331]) ).
tcf(c_56191,plain,
( ( sk4 = sk7 )
| ~ ssList(sk4)
| ( cons(sk6,sk4) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_28958,c_51331]) ).
tcf(c_56193,plain,
( ( sk7 = sk8 )
| ~ ssList(sk8)
| ( cons(sk6,sk7) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_28960,c_51331]) ).
tcf(c_56194,plain,
( ( sk7 = nil )
| ( cons(sk6,sk7) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56189,c_255]) ).
tcf(c_56197,plain,
( ( sk7 = sk8 )
| ( cons(sk6,sk7) != cons(sk6,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56193,c_6482]) ).
tcf(c_56201,plain,
( ( skaf45(iPr_def_14,iPr_def_14) = sk7 )
| ( cons(sk6,sk7) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56190,c_298]) ).
tcf(c_56216,plain,
( ( app(sk4,sk4) = iPr_def_14 )
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_37936,c_51335]) ).
tcf(c_56217,plain,
( ( app(sk7,sk4) = iPr_def_14 )
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_40760,c_51335]) ).
tcf(c_56218,plain,
( ( app(sk8,sk4) = iPr_def_14 )
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_42874,c_51335]) ).
tcf(c_56219,plain,
( ( app(sk4,sk7) = iPr_def_14 )
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_45961,c_51335]) ).
tcf(c_56220,plain,
( ( app(sk7,sk7) = iPr_def_14 )
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_49246,c_51335]) ).
tcf(c_56221,plain,
( ( app(sk8,sk7) = iPr_def_14 )
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_52218,c_51335]) ).
tcf(c_56291,plain,
( ( sk8 = nil )
| ~ ssList(nil)
| ( cons(sk6,sk8) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9515,c_51816]) ).
tcf(c_56292,plain,
( ( skaf45(iPr_def_14,iPr_def_14) = sk8 )
| ~ ssList(skaf45(iPr_def_14,iPr_def_14))
| ( cons(sk6,sk8) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13145,c_51816]) ).
tcf(c_56293,plain,
( ( sk4 = sk8 )
| ~ ssList(sk4)
| ( cons(sk6,sk4) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_28958,c_51816]) ).
tcf(c_56294,plain,
( ( sk7 = sk8 )
| ~ ssList(sk7)
| ( cons(sk6,sk7) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_28959,c_51816]) ).
tcf(c_56296,plain,
( ( sk8 = nil )
| ( cons(sk6,sk8) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56291,c_255]) ).
tcf(c_56301,plain,
( ( skaf45(iPr_def_14,iPr_def_14) = sk8 )
| ( cons(sk6,sk8) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56292,c_298]) ).
tcf(c_56310,plain,
( ( iPr_def_14 = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ( cons(sk6,sk8) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_33962,c_51820]) ).
tcf(c_56314,plain,
( ( app(sk4,sk4) = iPr_def_14 )
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk8)) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_37937,c_51820]) ).
tcf(c_56315,plain,
( ( app(sk7,sk4) = iPr_def_14 )
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk8)) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_40761,c_51820]) ).
tcf(c_56316,plain,
( ( app(sk8,sk4) = iPr_def_14 )
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk8)) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_42875,c_51820]) ).
tcf(c_56317,plain,
( ( app(sk4,sk7) = iPr_def_14 )
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk8)) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_45962,c_51820]) ).
tcf(c_56318,plain,
( ( app(sk7,sk7) = iPr_def_14 )
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk8)) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_49247,c_51820]) ).
tcf(c_56319,plain,
( ( app(sk8,sk7) = iPr_def_14 )
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk8)) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_52219,c_51820]) ).
tcf(c_56320,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( cons(sk6,sk8) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56310,c_24748]) ).
tcf(c_56347,plain,
! [X0: $i] :
( ( app(app(sk4,sk8),X0) = app(sk4,app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6486,c_16217]) ).
tcf(c_56348,plain,
! [X0: $i] :
( ( app(app(sk7,sk8),X0) = app(sk7,app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6483,c_16217]) ).
tcf(c_56349,plain,
! [X0: $i] :
( ( app(app(sk8,sk8),X0) = app(sk8,app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6482,c_16217]) ).
tcf(c_56350,plain,
! [X0: $i] :
( ( app(app(nil,sk8),X0) = app(nil,app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_255,c_16217]) ).
tcf(c_56351,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf82(X1),sk8),X0) = app(skaf82(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_260,c_16217]) ).
tcf(c_56352,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf81(X1),sk8),X0) = app(skaf81(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_261,c_16217]) ).
tcf(c_56353,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf80(X1),sk8),X0) = app(skaf80(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_262,c_16217]) ).
tcf(c_56354,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf77(X1),sk8),X0) = app(skaf77(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_265,c_16217]) ).
tcf(c_56355,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf76(X1),sk8),X0) = app(skaf76(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_266,c_16217]) ).
tcf(c_56356,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf75(X1),sk8),X0) = app(skaf75(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_267,c_16217]) ).
tcf(c_56357,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf73(X1),sk8),X0) = app(skaf73(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_269,c_16217]) ).
tcf(c_56358,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf72(X1),sk8),X0) = app(skaf72(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_270,c_16217]) ).
tcf(c_56359,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf71(X1),sk8),X0) = app(skaf71(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_271,c_16217]) ).
tcf(c_56360,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf68(X1),sk8),X0) = app(skaf68(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_274,c_16217]) ).
tcf(c_56361,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf67(X1),sk8),X0) = app(skaf67(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_275,c_16217]) ).
tcf(c_56362,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf66(X1),sk8),X0) = app(skaf66(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_276,c_16217]) ).
tcf(c_56363,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf63(X1),sk8),X0) = app(skaf63(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_279,c_16217]) ).
tcf(c_56364,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf62(X1),sk8),X0) = app(skaf62(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_280,c_16217]) ).
tcf(c_56365,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf61(X1),sk8),X0) = app(skaf61(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_281,c_16217]) ).
tcf(c_56366,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf58(X1),sk8),X0) = app(skaf58(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_284,c_16217]) ).
tcf(c_56367,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf57(X1),sk8),X0) = app(skaf57(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_285,c_16217]) ).
tcf(c_56368,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf56(X1),sk8),X0) = app(skaf56(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_286,c_16217]) ).
tcf(c_56369,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf53(X1),sk8),X0) = app(skaf53(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_289,c_16217]) ).
tcf(c_56370,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf52(X1),sk8),X0) = app(skaf52(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_290,c_16217]) ).
tcf(c_56371,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf51(X1),sk8),X0) = app(skaf51(X1),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_291,c_16217]) ).
tcf(c_56372,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf48(X1,X2),sk8),X0) = app(skaf48(X1,X2),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_295,c_16217]) ).
tcf(c_56373,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf47(X1,X2),sk8),X0) = app(skaf47(X1,X2),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_296,c_16217]) ).
tcf(c_56374,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf46(X1,X2),sk8),X0) = app(skaf46(X1,X2),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_297,c_16217]) ).
tcf(c_56375,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf45(X1,X2),sk8),X0) = app(skaf45(X1,X2),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_298,c_16217]) ).
tcf(c_56376,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf43(X1,X2),sk8),X0) = app(skaf43(X1,X2),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_299,c_16217]) ).
tcf(c_56377,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(skaf42(X1,X2),sk8),X0) = app(skaf42(X1,X2),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_300,c_16217]) ).
tcf(c_56378,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(app(tl(X0),sk8),X1) = app(tl(X0),app(sk8,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_16217]) ).
tcf(c_56379,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(app(X1,X0),sk8),X2) = app(app(X1,X0),app(sk8,X2)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_16217]) ).
tcf(c_56380,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(cons(X2,X0),sk8),X1) = app(cons(X2,X0),app(sk8,X1)) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_16217]) ).
tcf(c_56381,plain,
! [X0: $i] :
( ( app(app(iPr_def_16,sk8),X0) = app(iPr_def_16,app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9020,c_16217]) ).
tcf(c_56382,plain,
! [X0: $i] :
( ( app(app(iPr_def_13,sk8),X0) = app(iPr_def_13,app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9527,c_16217]) ).
tcf(c_56383,plain,
! [X0: $i] :
( ( app(app(iPr_def_12,sk8),X0) = app(iPr_def_12,app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9489,c_16217]) ).
tcf(c_56384,plain,
! [X0: $i] :
( ( app(app(iPr_def_15,sk8),X0) = app(iPr_def_15,app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_24748,c_16217]) ).
tcf(c_56385,plain,
! [X0: $i] :
( ( app(app(iPr_def_14,sk8),X0) = app(iPr_def_14,app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9488,c_16217]) ).
tcf(c_56386,plain,
! [X0: $i] :
( ( app(app(cons(sk6,sk4),sk8),X0) = app(cons(sk6,sk4),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28942,c_16217]) ).
tcf(c_56387,plain,
! [X0: $i] :
( ( app(app(cons(sk6,sk7),sk8),X0) = app(cons(sk6,sk7),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28940,c_16217]) ).
tcf(c_56388,plain,
! [X0: $i] :
( ( app(app(cons(sk6,sk8),sk8),X0) = app(cons(sk6,sk8),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_28938,c_16217]) ).
tcf(c_56389,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk4)),sk8),X0) = app(app(sk4,app(sk4,sk4)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_16217]) ).
tcf(c_56390,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk7)),sk8),X0) = app(app(sk4,app(sk4,sk7)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_16217]) ).
tcf(c_56391,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk8)),sk8),X0) = app(app(sk4,app(sk4,sk8)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_16217]) ).
tcf(c_56392,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk4)),sk8),X0) = app(app(sk7,app(sk4,sk4)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_16217]) ).
tcf(c_56393,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk7)),sk8),X0) = app(app(sk7,app(sk4,sk7)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_16217]) ).
tcf(c_56394,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk8)),sk8),X0) = app(app(sk7,app(sk4,sk8)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_16217]) ).
tcf(c_56395,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk4)),sk8),X0) = app(app(sk8,app(sk4,sk4)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_16217]) ).
tcf(c_56396,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk7)),sk8),X0) = app(app(sk8,app(sk4,sk7)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_16217]) ).
tcf(c_56397,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk8)),sk8),X0) = app(app(sk8,app(sk4,sk8)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_16217]) ).
tcf(c_56398,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk7,sk4)),sk8),X0) = app(app(sk4,app(sk7,sk4)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_16217]) ).
tcf(c_56399,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk7,sk7)),sk8),X0) = app(app(sk4,app(sk7,sk7)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_16217]) ).
tcf(c_56400,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk7,sk8)),sk8),X0) = app(app(sk4,app(sk7,sk8)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_16217]) ).
tcf(c_56401,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk7,sk4)),sk8),X0) = app(app(sk7,app(sk7,sk4)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_16217]) ).
tcf(c_56402,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk7,sk7)),sk8),X0) = app(app(sk7,app(sk7,sk7)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_16217]) ).
tcf(c_56403,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk7,sk8)),sk8),X0) = app(app(sk7,app(sk7,sk8)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_16217]) ).
tcf(c_56404,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk7,sk4)),sk8),X0) = app(app(sk8,app(sk7,sk4)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_16217]) ).
tcf(c_56405,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk7,sk7)),sk8),X0) = app(app(sk8,app(sk7,sk7)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_16217]) ).
tcf(c_56406,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk7,sk8)),sk8),X0) = app(app(sk8,app(sk7,sk8)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_16217]) ).
tcf(c_56407,plain,
! [X0: $i] :
( ( app(cons(sk6,sk8),X0) = app(iPr_def_14,app(sk8,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_56385,c_28960]) ).
tcf(c_56410,plain,
! [X0: $i] :
( ( app(iPr_def_15,app(sk8,X0)) = app(iPr_def_16,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_56384,c_33962]) ).
tcf(c_56419,plain,
! [X0: $i] :
( ( app(nil,app(sk8,X0)) = app(sk8,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_56350,c_9198]) ).
tcf(c_56775,plain,
app(app(sk4,sk8),sk4) = app(sk4,app(sk8,sk4)),
inference(superposition,[status(thm)],[c_6486,c_56347]) ).
tcf(c_56776,plain,
app(app(sk4,sk8),sk7) = app(sk4,app(sk8,sk7)),
inference(superposition,[status(thm)],[c_6483,c_56347]) ).
tcf(c_56777,plain,
app(app(sk4,sk8),sk8) = app(sk4,app(sk8,sk8)),
inference(superposition,[status(thm)],[c_6482,c_56347]) ).
tcf(c_56778,plain,
app(app(sk4,sk8),nil) = app(sk4,app(sk8,nil)),
inference(superposition,[status(thm)],[c_255,c_56347]) ).
tcf(c_56779,plain,
! [X0: $i] : app(app(sk4,sk8),skaf82(X0)) = app(sk4,app(sk8,skaf82(X0))),
inference(superposition,[status(thm)],[c_260,c_56347]) ).
tcf(c_56780,plain,
! [X0: $i] : app(app(sk4,sk8),skaf81(X0)) = app(sk4,app(sk8,skaf81(X0))),
inference(superposition,[status(thm)],[c_261,c_56347]) ).
tcf(c_56781,plain,
! [X0: $i] : app(app(sk4,sk8),skaf80(X0)) = app(sk4,app(sk8,skaf80(X0))),
inference(superposition,[status(thm)],[c_262,c_56347]) ).
tcf(c_56782,plain,
! [X0: $i] : app(app(sk4,sk8),skaf77(X0)) = app(sk4,app(sk8,skaf77(X0))),
inference(superposition,[status(thm)],[c_265,c_56347]) ).
tcf(c_56783,plain,
! [X0: $i] : app(app(sk4,sk8),skaf76(X0)) = app(sk4,app(sk8,skaf76(X0))),
inference(superposition,[status(thm)],[c_266,c_56347]) ).
tcf(c_56784,plain,
! [X0: $i] : app(app(sk4,sk8),skaf75(X0)) = app(sk4,app(sk8,skaf75(X0))),
inference(superposition,[status(thm)],[c_267,c_56347]) ).
tcf(c_56785,plain,
! [X0: $i] : app(app(sk4,sk8),skaf73(X0)) = app(sk4,app(sk8,skaf73(X0))),
inference(superposition,[status(thm)],[c_269,c_56347]) ).
tcf(c_56786,plain,
! [X0: $i] : app(app(sk4,sk8),skaf72(X0)) = app(sk4,app(sk8,skaf72(X0))),
inference(superposition,[status(thm)],[c_270,c_56347]) ).
tcf(c_56787,plain,
! [X0: $i] : app(app(sk4,sk8),skaf71(X0)) = app(sk4,app(sk8,skaf71(X0))),
inference(superposition,[status(thm)],[c_271,c_56347]) ).
tcf(c_56788,plain,
! [X0: $i] : app(app(sk4,sk8),skaf68(X0)) = app(sk4,app(sk8,skaf68(X0))),
inference(superposition,[status(thm)],[c_274,c_56347]) ).
tcf(c_56789,plain,
! [X0: $i] : app(app(sk4,sk8),skaf67(X0)) = app(sk4,app(sk8,skaf67(X0))),
inference(superposition,[status(thm)],[c_275,c_56347]) ).
tcf(c_56790,plain,
! [X0: $i] : app(app(sk4,sk8),skaf66(X0)) = app(sk4,app(sk8,skaf66(X0))),
inference(superposition,[status(thm)],[c_276,c_56347]) ).
tcf(c_56791,plain,
! [X0: $i] : app(app(sk4,sk8),skaf63(X0)) = app(sk4,app(sk8,skaf63(X0))),
inference(superposition,[status(thm)],[c_279,c_56347]) ).
tcf(c_56792,plain,
! [X0: $i] : app(app(sk4,sk8),skaf62(X0)) = app(sk4,app(sk8,skaf62(X0))),
inference(superposition,[status(thm)],[c_280,c_56347]) ).
tcf(c_56793,plain,
! [X0: $i] : app(app(sk4,sk8),skaf61(X0)) = app(sk4,app(sk8,skaf61(X0))),
inference(superposition,[status(thm)],[c_281,c_56347]) ).
tcf(c_56794,plain,
! [X0: $i] : app(app(sk4,sk8),skaf58(X0)) = app(sk4,app(sk8,skaf58(X0))),
inference(superposition,[status(thm)],[c_284,c_56347]) ).
tcf(c_56795,plain,
! [X0: $i] : app(app(sk4,sk8),skaf57(X0)) = app(sk4,app(sk8,skaf57(X0))),
inference(superposition,[status(thm)],[c_285,c_56347]) ).
tcf(c_56796,plain,
! [X0: $i] : app(app(sk4,sk8),skaf56(X0)) = app(sk4,app(sk8,skaf56(X0))),
inference(superposition,[status(thm)],[c_286,c_56347]) ).
tcf(c_56797,plain,
! [X0: $i] : app(app(sk4,sk8),skaf53(X0)) = app(sk4,app(sk8,skaf53(X0))),
inference(superposition,[status(thm)],[c_289,c_56347]) ).
tcf(c_56798,plain,
! [X0: $i] : app(app(sk4,sk8),skaf52(X0)) = app(sk4,app(sk8,skaf52(X0))),
inference(superposition,[status(thm)],[c_290,c_56347]) ).
tcf(c_56799,plain,
! [X0: $i] : app(app(sk4,sk8),skaf51(X0)) = app(sk4,app(sk8,skaf51(X0))),
inference(superposition,[status(thm)],[c_291,c_56347]) ).
tcf(c_56800,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk8),skaf48(X0,X1)) = app(sk4,app(sk8,skaf48(X0,X1))),
inference(superposition,[status(thm)],[c_295,c_56347]) ).
tcf(c_56801,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk8),skaf47(X0,X1)) = app(sk4,app(sk8,skaf47(X0,X1))),
inference(superposition,[status(thm)],[c_296,c_56347]) ).
tcf(c_56802,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk8),skaf46(X0,X1)) = app(sk4,app(sk8,skaf46(X0,X1))),
inference(superposition,[status(thm)],[c_297,c_56347]) ).
tcf(c_56803,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk8),skaf45(X0,X1)) = app(sk4,app(sk8,skaf45(X0,X1))),
inference(superposition,[status(thm)],[c_298,c_56347]) ).
tcf(c_56804,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk8),skaf43(X0,X1)) = app(sk4,app(sk8,skaf43(X0,X1))),
inference(superposition,[status(thm)],[c_299,c_56347]) ).
tcf(c_56805,plain,
! [X0: $i,X1: $i] : app(app(sk4,sk8),skaf42(X0,X1)) = app(sk4,app(sk8,skaf42(X0,X1))),
inference(superposition,[status(thm)],[c_300,c_56347]) ).
tcf(c_56806,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sk4,sk8),tl(X0)) = app(sk4,app(sk8,tl(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_56347]) ).
tcf(c_56807,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk4,sk8),app(X1,X0)) = app(sk4,app(sk8,app(X1,X0))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_56347]) ).
tcf(c_56808,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk4,sk8),cons(X1,X0)) = app(sk4,app(sk8,cons(X1,X0))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_56347]) ).
tcf(c_56809,plain,
app(app(sk4,sk8),iPr_def_16) = app(sk4,app(sk8,iPr_def_16)),
inference(superposition,[status(thm)],[c_9020,c_56347]) ).
tcf(c_56810,plain,
app(app(sk4,sk8),iPr_def_13) = app(sk4,app(sk8,iPr_def_13)),
inference(superposition,[status(thm)],[c_9527,c_56347]) ).
tcf(c_56811,plain,
app(app(sk4,sk8),iPr_def_12) = app(sk4,app(sk8,iPr_def_12)),
inference(superposition,[status(thm)],[c_9489,c_56347]) ).
tcf(c_56812,plain,
app(app(sk4,sk8),iPr_def_15) = app(sk4,app(sk8,iPr_def_15)),
inference(superposition,[status(thm)],[c_24748,c_56347]) ).
tcf(c_56813,plain,
app(app(sk4,sk8),iPr_def_14) = app(sk4,app(sk8,iPr_def_14)),
inference(superposition,[status(thm)],[c_9488,c_56347]) ).
tcf(c_56814,plain,
app(app(sk4,sk8),cons(sk6,sk4)) = app(sk4,app(sk8,cons(sk6,sk4))),
inference(superposition,[status(thm)],[c_28942,c_56347]) ).
tcf(c_56815,plain,
app(app(sk4,sk8),cons(sk6,sk7)) = app(sk4,app(sk8,cons(sk6,sk7))),
inference(superposition,[status(thm)],[c_28940,c_56347]) ).
tcf(c_56816,plain,
app(app(sk4,sk8),cons(sk6,sk8)) = app(sk4,app(sk8,cons(sk6,sk8))),
inference(superposition,[status(thm)],[c_28938,c_56347]) ).
tcf(c_56817,plain,
( ( app(app(sk4,sk8),app(sk4,app(sk4,sk4))) = app(sk4,app(sk8,app(sk4,app(sk4,sk4)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_56347]) ).
tcf(c_56818,plain,
( ( app(app(sk4,sk8),app(sk4,app(sk4,sk7))) = app(sk4,app(sk8,app(sk4,app(sk4,sk7)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_56347]) ).
tcf(c_56819,plain,
( ( app(app(sk4,sk8),app(sk4,app(sk4,sk8))) = app(sk4,app(sk8,app(sk4,app(sk4,sk8)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_56347]) ).
tcf(c_56820,plain,
( ( app(app(sk4,sk8),app(sk7,app(sk4,sk4))) = app(sk4,app(sk8,app(sk7,app(sk4,sk4)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_56347]) ).
tcf(c_56821,plain,
( ( app(app(sk4,sk8),app(sk7,app(sk4,sk7))) = app(sk4,app(sk8,app(sk7,app(sk4,sk7)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_56347]) ).
tcf(c_56822,plain,
( ( app(app(sk4,sk8),app(sk7,app(sk4,sk8))) = app(sk4,app(sk8,app(sk7,app(sk4,sk8)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_56347]) ).
tcf(c_56823,plain,
( ( app(app(sk4,sk8),app(sk8,app(sk4,sk4))) = app(sk4,app(sk8,app(sk8,app(sk4,sk4)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_56347]) ).
tcf(c_56824,plain,
( ( app(app(sk4,sk8),app(sk8,app(sk4,sk7))) = app(sk4,app(sk8,app(sk8,app(sk4,sk7)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_56347]) ).
tcf(c_56825,plain,
( ( app(app(sk4,sk8),app(sk8,app(sk4,sk8))) = app(sk4,app(sk8,app(sk8,app(sk4,sk8)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_56347]) ).
tcf(c_56826,plain,
( ( app(app(sk4,sk8),app(sk4,app(sk7,sk4))) = app(sk4,app(sk8,app(sk4,app(sk7,sk4)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_56347]) ).
tcf(c_56827,plain,
( ( app(app(sk4,sk8),app(sk4,app(sk7,sk7))) = app(sk4,app(sk8,app(sk4,app(sk7,sk7)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_56347]) ).
tcf(c_56828,plain,
( ( app(app(sk4,sk8),app(sk4,app(sk7,sk8))) = app(sk4,app(sk8,app(sk4,app(sk7,sk8)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_56347]) ).
tcf(c_56829,plain,
( ( app(app(sk4,sk8),app(sk7,app(sk7,sk4))) = app(sk4,app(sk8,app(sk7,app(sk7,sk4)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_56347]) ).
tcf(c_56830,plain,
( ( app(app(sk4,sk8),app(sk7,app(sk7,sk7))) = app(sk4,app(sk8,app(sk7,app(sk7,sk7)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_56347]) ).
tcf(c_56831,plain,
( ( app(app(sk4,sk8),app(sk7,app(sk7,sk8))) = app(sk4,app(sk8,app(sk7,app(sk7,sk8)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_56347]) ).
tcf(c_56832,plain,
( ( app(app(sk4,sk8),app(sk8,app(sk7,sk4))) = app(sk4,app(sk8,app(sk8,app(sk7,sk4)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_56347]) ).
tcf(c_56833,plain,
( ( app(app(sk4,sk8),app(sk8,app(sk7,sk7))) = app(sk4,app(sk8,app(sk8,app(sk7,sk7)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_56347]) ).
tcf(c_56834,plain,
( ( app(app(sk4,sk8),app(sk8,app(sk7,sk8))) = app(sk4,app(sk8,app(sk8,app(sk7,sk8)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_56347]) ).
tcf(c_56835,plain,
app(app(sk4,sk8),nil) = app(sk4,sk8),
inference(light_normalisation,[status(thm)],[c_56778,c_9103]) ).
tcf(c_57306,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk5,skaf43(X0,X1)) = nil )
| ( cons(sk5,skaf43(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk5,skaf43(X0,X1)))
| ( skaf43(X0,X1) != tl(X2) )
| ( hd(cons(sk5,skaf43(X0,X1))) != hd(X2) ) ),
inference(superposition,[status(thm)],[c_10210,c_424]) ).
tcf(c_57309,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk5,skaf43(X0,X1)) = nil )
| ( cons(sk5,skaf43(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk5,skaf43(X0,X1)))
| ( hd(X2) != sk5 )
| ( skaf43(X0,X1) != tl(X2) ) ),
inference(light_normalisation,[status(thm)],[c_57306,c_10678]) ).
tcf(c_57329,plain,
( ssList(app(sk4,app(sk8,sk4)))
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56775,c_332]) ).
tcf(c_57330,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk8,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(app(app(sk4,sk8),sk4),X0)) ),
inference(superposition,[status(thm)],[c_56775,c_420]) ).
tcf(c_57331,plain,
! [X0: $i] :
( ( app(sk4,sk8) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_56775,c_398]) ).
tcf(c_57333,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk4,sk8),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk8))
| ~ memberP(app(sk4,app(sk8,sk4)),X0) ),
inference(superposition,[status(thm)],[c_56775,c_405]) ).
tcf(c_57334,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_56775,c_366]) ).
tcf(c_57335,plain,
( ( app(sk4,sk8) = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_56775,c_365]) ).
tcf(c_57336,plain,
( frontsegP(app(sk4,app(sk8,sk4)),app(sk4,sk8))
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56775,c_808]) ).
tcf(c_57337,plain,
( rearsegP(app(sk4,app(sk8,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56775,c_807]) ).
tcf(c_57338,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56775,c_388]) ).
tcf(c_57339,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56775,c_383]) ).
tcf(c_57340,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ( app(app(sk4,sk8),X0) != app(sk4,app(sk8,sk4)) ) ),
inference(superposition,[status(thm)],[c_56775,c_397]) ).
tcf(c_57341,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk8))
| ~ memberP(app(sk4,sk8),X0) ),
inference(superposition,[status(thm)],[c_56775,c_387]) ).
tcf(c_57342,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ frontsegP(app(sk4,sk8),X0) ),
inference(superposition,[status(thm)],[c_56775,c_384]) ).
tcf(c_57343,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk8,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56775,c_419]) ).
tcf(c_57344,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk8,sk4)),X0)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(superposition,[status(thm)],[c_56775,c_419]) ).
tcf(c_57345,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk8)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(app(app(sk4,sk8),sk4)) ),
inference(superposition,[status(thm)],[c_56775,c_420]) ).
tcf(c_57346,plain,
( ( app(sk4,sk8) = iPr_def_14 )
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_56775,c_51225]) ).
tcf(c_57347,plain,
( ( app(sk4,sk8) = nil )
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_56775,c_17629]) ).
tcf(c_57348,plain,
( ssList(app(sk4,app(sk8,sk4)))
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57329,c_6486]) ).
tcf(c_57351,plain,
( rearsegP(app(sk4,app(sk8,sk4)),sk4)
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57337,c_6486]) ).
tcf(c_57354,plain,
( frontsegP(app(sk4,app(sk8,sk4)),app(sk4,sk8))
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57336,c_6486]) ).
tcf(c_57360,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk8)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk8,sk4))) ),
inference(light_normalisation,[status(thm)],[c_57345,c_56775]) ).
tcf(c_57361,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk8)
| ~ ssList(app(sk4,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57360,c_6482,c_6486]) ).
tcf(c_57364,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk8,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57344,c_6482,c_6486]) ).
tcf(c_57368,plain,
( ( sk4 = nil )
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57334,c_6486]) ).
tcf(c_57375,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk8,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57339,c_6486]) ).
tcf(c_57380,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk8,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57338,c_6486]) ).
tcf(c_57385,plain,
( ( app(sk4,sk8) = nil )
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57335,c_6486]) ).
tcf(c_57389,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk8,sk4)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ frontsegP(app(sk4,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57342,c_6486]) ).
tcf(c_57394,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk8,sk4)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk8))
| ~ memberP(app(sk4,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57341,c_6486]) ).
tcf(c_57399,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk8,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57343,c_6486]) ).
tcf(c_57405,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk4,sk8),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk8))
| ~ memberP(app(sk4,app(sk8,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57333,c_6486]) ).
tcf(c_57411,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ( app(app(sk4,sk8),X0) != app(sk4,app(sk8,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57340,c_6486]) ).
tcf(c_57416,plain,
! [X0: $i] :
( ( app(sk4,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57331,c_6486]) ).
tcf(c_57421,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk8,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(app(sk4,app(sk8,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_57330,c_56775]) ).
tcf(c_57422,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk8,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(app(sk4,app(sk8,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57421,c_6486]) ).
tcf(c_57475,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk8,sk4)),sk8),X0) = app(app(sk4,app(sk8,sk4)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_16217]) ).
tcf(c_57476,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk8,sk4)),sk7),X0) = app(app(sk4,app(sk8,sk4)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_16216]) ).
tcf(c_57477,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk8,sk4)),sk4),X0) = app(app(sk4,app(sk8,sk4)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_16215]) ).
tcf(c_57478,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk4,app(sk8,sk4)))) = app(cons(X1,X0),app(sk4,app(sk8,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_404]) ).
tcf(c_57479,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk4,app(sk8,sk4))),X0) = app(X1,app(app(sk4,app(sk8,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_396]) ).
tcf(c_57480,plain,
! [X0: $i] :
( ( app(sk4,app(sk8,sk4)) = nil )
| ( app(tl(app(sk4,app(sk8,sk4))),X0) = tl(app(app(sk4,app(sk8,sk4)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_380]) ).
tcf(c_57481,plain,
! [X0: $i] :
( ( app(sk4,app(sk8,sk4)) = nil )
| ( hd(app(app(sk4,app(sk8,sk4)),X0)) = hd(app(sk4,app(sk8,sk4))) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_370]) ).
tcf(c_57482,plain,
( ( app(app(sk4,sk8),app(sk4,app(sk8,sk4))) = app(sk4,app(sk8,app(sk4,app(sk8,sk4)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_56347]) ).
tcf(c_57483,plain,
( ( app(app(sk8,sk7),app(sk4,app(sk8,sk4))) = app(sk8,app(sk7,app(sk4,app(sk8,sk4)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_45540]) ).
tcf(c_57484,plain,
( ( app(app(sk7,sk7),app(sk4,app(sk8,sk4))) = app(sk7,app(sk7,app(sk4,app(sk8,sk4)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_45539]) ).
tcf(c_57485,plain,
( ( app(app(sk4,sk7),app(sk4,app(sk8,sk4))) = app(sk4,app(sk7,app(sk4,app(sk8,sk4)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_45538]) ).
tcf(c_57486,plain,
( ( app(app(sk8,sk4),app(sk4,app(sk8,sk4))) = app(sk8,app(sk4,app(sk4,app(sk8,sk4)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_37633]) ).
tcf(c_57487,plain,
( ( app(app(sk7,sk4),app(sk4,app(sk8,sk4))) = app(sk7,app(sk4,app(sk4,app(sk8,sk4)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_37632]) ).
tcf(c_57488,plain,
( ( app(app(sk4,sk4),app(sk4,app(sk8,sk4))) = app(sk4,app(sk4,app(sk4,app(sk8,sk4)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_37631]) ).
tcf(c_57489,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk4,app(sk8,sk4))) = tl(app(sk8,app(sk4,app(sk8,sk4)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_14611]) ).
tcf(c_57490,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk4,app(sk8,sk4))) = tl(app(sk7,app(sk4,app(sk8,sk4)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_14610]) ).
tcf(c_57491,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk4,app(sk8,sk4))) = tl(app(sk4,app(sk4,app(sk8,sk4)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_14609]) ).
tcf(c_57492,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk4,app(sk8,sk4)))) = hd(sk8) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_11903]) ).
tcf(c_57493,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk4,app(sk8,sk4)))) = hd(sk7) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_11902]) ).
tcf(c_57494,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk4,app(sk8,sk4)))) = hd(sk4) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_11901]) ).
tcf(c_57495,plain,
( cyclefreeP(app(sk4,app(sk8,sk4)))
| ( app(app(skaf51(app(sk4,app(sk8,sk4))),cons(skaf49(app(sk4,app(sk8,sk4))),skaf52(app(sk4,app(sk8,sk4))))),cons(skaf50(app(sk4,app(sk8,sk4))),skaf53(app(sk4,app(sk8,sk4))))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_414]) ).
tcf(c_57496,plain,
( totalorderP(app(sk4,app(sk8,sk4)))
| ( app(app(skaf56(app(sk4,app(sk8,sk4))),cons(skaf54(app(sk4,app(sk8,sk4))),skaf57(app(sk4,app(sk8,sk4))))),cons(skaf55(app(sk4,app(sk8,sk4))),skaf58(app(sk4,app(sk8,sk4))))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_413]) ).
tcf(c_57497,plain,
( strictorderP(app(sk4,app(sk8,sk4)))
| ( app(app(skaf61(app(sk4,app(sk8,sk4))),cons(skaf59(app(sk4,app(sk8,sk4))),skaf62(app(sk4,app(sk8,sk4))))),cons(skaf60(app(sk4,app(sk8,sk4))),skaf63(app(sk4,app(sk8,sk4))))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_412]) ).
tcf(c_57498,plain,
( totalorderedP(app(sk4,app(sk8,sk4)))
| ( app(app(skaf66(app(sk4,app(sk8,sk4))),cons(skaf64(app(sk4,app(sk8,sk4))),skaf67(app(sk4,app(sk8,sk4))))),cons(skaf65(app(sk4,app(sk8,sk4))),skaf68(app(sk4,app(sk8,sk4))))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_411]) ).
tcf(c_57499,plain,
( strictorderedP(app(sk4,app(sk8,sk4)))
| ( app(app(skaf71(app(sk4,app(sk8,sk4))),cons(skaf69(app(sk4,app(sk8,sk4))),skaf72(app(sk4,app(sk8,sk4))))),cons(skaf70(app(sk4,app(sk8,sk4))),skaf73(app(sk4,app(sk8,sk4))))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_410]) ).
tcf(c_57500,plain,
( duplicatefreeP(app(sk4,app(sk8,sk4)))
| ( app(app(skaf75(app(sk4,app(sk8,sk4))),cons(skaf74(app(sk4,app(sk8,sk4))),skaf76(app(sk4,app(sk8,sk4))))),cons(skaf74(app(sk4,app(sk8,sk4))),skaf77(app(sk4,app(sk8,sk4))))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_409]) ).
tcf(c_57501,plain,
( equalelemsP(app(sk4,app(sk8,sk4)))
| ( app(skaf80(app(sk4,app(sk8,sk4))),cons(skaf78(app(sk4,app(sk8,sk4))),cons(skaf79(app(sk4,app(sk8,sk4))),skaf81(app(sk4,app(sk8,sk4)))))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_389]) ).
tcf(c_57502,plain,
( ( hd(cons(sk6,app(sk4,app(sk8,sk4)))) = sk6 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_10017]) ).
tcf(c_57503,plain,
( ( app(sk4,app(sk8,sk4)) = nil )
| ( cons(skaf83(app(sk4,app(sk8,sk4))),skaf82(app(sk4,app(sk8,sk4)))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_356]) ).
tcf(c_57504,plain,
( ( app(sk4,app(sk8,sk4)) = nil )
| ( cons(hd(app(sk4,app(sk8,sk4))),tl(app(sk4,app(sk8,sk4)))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_351]) ).
tcf(c_57505,plain,
( ( hd(cons(sk5,app(sk4,app(sk8,sk4)))) = sk5 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_10016]) ).
tcf(c_57506,plain,
( ( tl(cons(sk6,app(sk4,app(sk8,sk4)))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_9887]) ).
tcf(c_57507,plain,
( ( tl(cons(sk5,app(sk4,app(sk8,sk4)))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_9886]) ).
tcf(c_57508,plain,
( duplicatefreeP(app(sk4,app(sk8,sk4)))
| ~ iPr_def_11
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_6471]) ).
tcf(c_57509,plain,
( ( app(nil,app(sk4,app(sk8,sk4))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_321]) ).
tcf(c_57510,plain,
( ( app(app(sk4,app(sk8,sk4)),nil) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_320]) ).
tcf(c_57722,plain,
( ssList(app(sk4,app(sk8,sk7)))
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56776,c_332]) ).
tcf(c_57723,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk8,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(app(app(sk4,sk8),sk7),X0)) ),
inference(superposition,[status(thm)],[c_56776,c_420]) ).
tcf(c_57724,plain,
! [X0: $i] :
( ( app(sk4,sk8) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_56776,c_398]) ).
tcf(c_57726,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk4,sk8),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk8))
| ~ memberP(app(sk4,app(sk8,sk7)),X0) ),
inference(superposition,[status(thm)],[c_56776,c_405]) ).
tcf(c_57727,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_56776,c_366]) ).
tcf(c_57728,plain,
( ( app(sk4,sk8) = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_56776,c_365]) ).
tcf(c_57729,plain,
( frontsegP(app(sk4,app(sk8,sk7)),app(sk4,sk8))
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56776,c_808]) ).
tcf(c_57730,plain,
( rearsegP(app(sk4,app(sk8,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56776,c_807]) ).
tcf(c_57731,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56776,c_388]) ).
tcf(c_57732,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56776,c_383]) ).
tcf(c_57733,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ( app(app(sk4,sk8),X0) != app(sk4,app(sk8,sk7)) ) ),
inference(superposition,[status(thm)],[c_56776,c_397]) ).
tcf(c_57734,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk8))
| ~ memberP(app(sk4,sk8),X0) ),
inference(superposition,[status(thm)],[c_56776,c_387]) ).
tcf(c_57735,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ frontsegP(app(sk4,sk8),X0) ),
inference(superposition,[status(thm)],[c_56776,c_384]) ).
tcf(c_57736,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk8,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56776,c_419]) ).
tcf(c_57737,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk8,sk7)),X0)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(superposition,[status(thm)],[c_56776,c_419]) ).
tcf(c_57738,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk8)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(app(sk4,sk8),sk7)) ),
inference(superposition,[status(thm)],[c_56776,c_420]) ).
tcf(c_57739,plain,
( ( app(sk4,sk8) = iPr_def_14 )
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_56776,c_51335]) ).
tcf(c_57740,plain,
( ( app(sk4,sk8) = nil )
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_56776,c_17625]) ).
tcf(c_57741,plain,
( ssList(app(sk4,app(sk8,sk7)))
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57722,c_6483]) ).
tcf(c_57744,plain,
( rearsegP(app(sk4,app(sk8,sk7)),sk7)
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57730,c_6483]) ).
tcf(c_57747,plain,
( frontsegP(app(sk4,app(sk8,sk7)),app(sk4,sk8))
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57729,c_6483]) ).
tcf(c_57753,plain,
( ( sk7 = nil )
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57727,c_6483]) ).
tcf(c_57760,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk8,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57732,c_6483]) ).
tcf(c_57765,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk8,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57731,c_6483]) ).
tcf(c_57770,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk8)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk8,sk7))) ),
inference(light_normalisation,[status(thm)],[c_57738,c_56776]) ).
tcf(c_57771,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk8)
| ~ ssList(app(sk4,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57770,c_6482,c_6483,c_6486]) ).
tcf(c_57774,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk8,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57737,c_6482,c_6483,c_6486]) ).
tcf(c_57778,plain,
( ( app(sk4,sk8) = nil )
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57728,c_6483]) ).
tcf(c_57782,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk8,sk7)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ frontsegP(app(sk4,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57735,c_6483]) ).
tcf(c_57787,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk8,sk7)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk8))
| ~ memberP(app(sk4,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57734,c_6483]) ).
tcf(c_57792,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk8,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57736,c_6483]) ).
tcf(c_57798,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk4,sk8),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk8))
| ~ memberP(app(sk4,app(sk8,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57726,c_6483]) ).
tcf(c_57804,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ( app(app(sk4,sk8),X0) != app(sk4,app(sk8,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57733,c_6483]) ).
tcf(c_57809,plain,
! [X0: $i] :
( ( app(sk4,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57724,c_6483]) ).
tcf(c_57814,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk8,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(app(sk4,app(sk8,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_57723,c_56776]) ).
tcf(c_57815,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk8,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(app(sk4,app(sk8,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57814,c_6483]) ).
tcf(c_57886,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk8,sk7)),sk8),X0) = app(app(sk4,app(sk8,sk7)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_16217]) ).
tcf(c_57887,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk8,sk7)),sk7),X0) = app(app(sk4,app(sk8,sk7)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_16216]) ).
tcf(c_57888,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk8,sk7)),sk4),X0) = app(app(sk4,app(sk8,sk7)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_16215]) ).
tcf(c_57889,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk4,app(sk8,sk7)))) = app(cons(X1,X0),app(sk4,app(sk8,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_404]) ).
tcf(c_57890,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk4,app(sk8,sk7))),X0) = app(X1,app(app(sk4,app(sk8,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_396]) ).
tcf(c_57891,plain,
! [X0: $i] :
( ( app(sk4,app(sk8,sk7)) = nil )
| ( app(tl(app(sk4,app(sk8,sk7))),X0) = tl(app(app(sk4,app(sk8,sk7)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_380]) ).
tcf(c_57892,plain,
! [X0: $i] :
( ( app(sk4,app(sk8,sk7)) = nil )
| ( hd(app(app(sk4,app(sk8,sk7)),X0)) = hd(app(sk4,app(sk8,sk7))) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_370]) ).
tcf(c_57893,plain,
( ( app(app(sk4,sk8),app(sk4,app(sk8,sk7))) = app(sk4,app(sk8,app(sk4,app(sk8,sk7)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_56347]) ).
tcf(c_57894,plain,
( ( app(app(sk8,sk7),app(sk4,app(sk8,sk7))) = app(sk8,app(sk7,app(sk4,app(sk8,sk7)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_45540]) ).
tcf(c_57895,plain,
( ( app(app(sk7,sk7),app(sk4,app(sk8,sk7))) = app(sk7,app(sk7,app(sk4,app(sk8,sk7)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_45539]) ).
tcf(c_57896,plain,
( ( app(app(sk4,sk7),app(sk4,app(sk8,sk7))) = app(sk4,app(sk7,app(sk4,app(sk8,sk7)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_45538]) ).
tcf(c_57897,plain,
( ( app(app(sk8,sk4),app(sk4,app(sk8,sk7))) = app(sk8,app(sk4,app(sk4,app(sk8,sk7)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_37633]) ).
tcf(c_57898,plain,
( ( app(app(sk7,sk4),app(sk4,app(sk8,sk7))) = app(sk7,app(sk4,app(sk4,app(sk8,sk7)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_37632]) ).
tcf(c_57899,plain,
( ( app(app(sk4,sk4),app(sk4,app(sk8,sk7))) = app(sk4,app(sk4,app(sk4,app(sk8,sk7)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_37631]) ).
tcf(c_57900,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk4,app(sk8,sk7))) = tl(app(sk8,app(sk4,app(sk8,sk7)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_14611]) ).
tcf(c_57901,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk4,app(sk8,sk7))) = tl(app(sk7,app(sk4,app(sk8,sk7)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_14610]) ).
tcf(c_57902,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk4,app(sk8,sk7))) = tl(app(sk4,app(sk4,app(sk8,sk7)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_14609]) ).
tcf(c_57903,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk4,app(sk8,sk7)))) = hd(sk8) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_11903]) ).
tcf(c_57904,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk4,app(sk8,sk7)))) = hd(sk7) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_11902]) ).
tcf(c_57905,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk4,app(sk8,sk7)))) = hd(sk4) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_11901]) ).
tcf(c_57906,plain,
( cyclefreeP(app(sk4,app(sk8,sk7)))
| ( app(app(skaf51(app(sk4,app(sk8,sk7))),cons(skaf49(app(sk4,app(sk8,sk7))),skaf52(app(sk4,app(sk8,sk7))))),cons(skaf50(app(sk4,app(sk8,sk7))),skaf53(app(sk4,app(sk8,sk7))))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_414]) ).
tcf(c_57907,plain,
( totalorderP(app(sk4,app(sk8,sk7)))
| ( app(app(skaf56(app(sk4,app(sk8,sk7))),cons(skaf54(app(sk4,app(sk8,sk7))),skaf57(app(sk4,app(sk8,sk7))))),cons(skaf55(app(sk4,app(sk8,sk7))),skaf58(app(sk4,app(sk8,sk7))))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_413]) ).
tcf(c_57908,plain,
( strictorderP(app(sk4,app(sk8,sk7)))
| ( app(app(skaf61(app(sk4,app(sk8,sk7))),cons(skaf59(app(sk4,app(sk8,sk7))),skaf62(app(sk4,app(sk8,sk7))))),cons(skaf60(app(sk4,app(sk8,sk7))),skaf63(app(sk4,app(sk8,sk7))))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_412]) ).
tcf(c_57909,plain,
( totalorderedP(app(sk4,app(sk8,sk7)))
| ( app(app(skaf66(app(sk4,app(sk8,sk7))),cons(skaf64(app(sk4,app(sk8,sk7))),skaf67(app(sk4,app(sk8,sk7))))),cons(skaf65(app(sk4,app(sk8,sk7))),skaf68(app(sk4,app(sk8,sk7))))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_411]) ).
tcf(c_57910,plain,
( strictorderedP(app(sk4,app(sk8,sk7)))
| ( app(app(skaf71(app(sk4,app(sk8,sk7))),cons(skaf69(app(sk4,app(sk8,sk7))),skaf72(app(sk4,app(sk8,sk7))))),cons(skaf70(app(sk4,app(sk8,sk7))),skaf73(app(sk4,app(sk8,sk7))))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_410]) ).
tcf(c_57911,plain,
( duplicatefreeP(app(sk4,app(sk8,sk7)))
| ( app(app(skaf75(app(sk4,app(sk8,sk7))),cons(skaf74(app(sk4,app(sk8,sk7))),skaf76(app(sk4,app(sk8,sk7))))),cons(skaf74(app(sk4,app(sk8,sk7))),skaf77(app(sk4,app(sk8,sk7))))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_409]) ).
tcf(c_57912,plain,
( equalelemsP(app(sk4,app(sk8,sk7)))
| ( app(skaf80(app(sk4,app(sk8,sk7))),cons(skaf78(app(sk4,app(sk8,sk7))),cons(skaf79(app(sk4,app(sk8,sk7))),skaf81(app(sk4,app(sk8,sk7)))))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_389]) ).
tcf(c_57913,plain,
( ( hd(cons(sk6,app(sk4,app(sk8,sk7)))) = sk6 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_10017]) ).
tcf(c_57914,plain,
( ( app(sk4,app(sk8,sk7)) = nil )
| ( cons(skaf83(app(sk4,app(sk8,sk7))),skaf82(app(sk4,app(sk8,sk7)))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_356]) ).
tcf(c_57915,plain,
( ( app(sk4,app(sk8,sk7)) = nil )
| ( cons(hd(app(sk4,app(sk8,sk7))),tl(app(sk4,app(sk8,sk7)))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_351]) ).
tcf(c_57916,plain,
( ( hd(cons(sk5,app(sk4,app(sk8,sk7)))) = sk5 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_10016]) ).
tcf(c_57917,plain,
( ( tl(cons(sk6,app(sk4,app(sk8,sk7)))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_9887]) ).
tcf(c_57918,plain,
( ( tl(cons(sk5,app(sk4,app(sk8,sk7)))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_9886]) ).
tcf(c_57919,plain,
( duplicatefreeP(app(sk4,app(sk8,sk7)))
| ~ iPr_def_11
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_6471]) ).
tcf(c_57920,plain,
( ( app(nil,app(sk4,app(sk8,sk7))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_321]) ).
tcf(c_57921,plain,
( ( app(app(sk4,app(sk8,sk7)),nil) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_320]) ).
tcf(c_58114,plain,
( ssList(app(sk4,app(sk8,sk8)))
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56777,c_332]) ).
tcf(c_58115,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk8,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(app(app(sk4,sk8),sk8),X0)) ),
inference(superposition,[status(thm)],[c_56777,c_420]) ).
tcf(c_58116,plain,
! [X0: $i] :
( ( app(sk4,sk8) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk8)) != app(X0,sk8) ) ),
inference(superposition,[status(thm)],[c_56777,c_398]) ).
tcf(c_58118,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk4,sk8),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk8))
| ~ memberP(app(sk4,app(sk8,sk8)),X0) ),
inference(superposition,[status(thm)],[c_56777,c_405]) ).
tcf(c_58119,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_56777,c_366]) ).
tcf(c_58120,plain,
( ( app(sk4,sk8) = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_56777,c_365]) ).
tcf(c_58121,plain,
( frontsegP(app(sk4,app(sk8,sk8)),app(sk4,sk8))
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56777,c_808]) ).
tcf(c_58122,plain,
( rearsegP(app(sk4,app(sk8,sk8)),sk8)
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56777,c_807]) ).
tcf(c_58123,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk8,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56777,c_388]) ).
tcf(c_58124,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk8,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56777,c_383]) ).
tcf(c_58125,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ( app(app(sk4,sk8),X0) != app(sk4,app(sk8,sk8)) ) ),
inference(superposition,[status(thm)],[c_56777,c_397]) ).
tcf(c_58126,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk8,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk8))
| ~ memberP(app(sk4,sk8),X0) ),
inference(superposition,[status(thm)],[c_56777,c_387]) ).
tcf(c_58127,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk8,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ frontsegP(app(sk4,sk8),X0) ),
inference(superposition,[status(thm)],[c_56777,c_384]) ).
tcf(c_58128,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk8,sk8)),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_56777,c_419]) ).
tcf(c_58129,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk8,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(superposition,[status(thm)],[c_56777,c_419]) ).
tcf(c_58130,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk8)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(app(app(sk4,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_56777,c_420]) ).
tcf(c_58131,plain,
( ( app(sk4,sk8) = iPr_def_14 )
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk8)) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_56777,c_51820]) ).
tcf(c_58132,plain,
( ( app(sk4,sk8) = nil )
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk8)) != sk8 ) ),
inference(superposition,[status(thm)],[c_56777,c_17621]) ).
tcf(c_58133,plain,
( ssList(app(sk4,app(sk8,sk8)))
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58114,c_6482]) ).
tcf(c_58136,plain,
( rearsegP(app(sk4,app(sk8,sk8)),sk8)
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58122,c_6482]) ).
tcf(c_58139,plain,
( frontsegP(app(sk4,app(sk8,sk8)),app(sk4,sk8))
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58121,c_6482]) ).
tcf(c_58145,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk8)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk8,sk8))) ),
inference(light_normalisation,[status(thm)],[c_58130,c_56777]) ).
tcf(c_58146,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk8)
| ~ ssList(app(sk4,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58145,c_6482,c_6486]) ).
tcf(c_58149,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk8,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58129,c_6482,c_6486]) ).
tcf(c_58153,plain,
( ( sk8 = nil )
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58119,c_6482]) ).
tcf(c_58160,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk8,sk8)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58124,c_6482]) ).
tcf(c_58165,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk8,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58123,c_6482]) ).
tcf(c_58170,plain,
( ( app(sk4,sk8) = nil )
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58120,c_6482]) ).
tcf(c_58174,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk8,sk8)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ frontsegP(app(sk4,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58127,c_6482]) ).
tcf(c_58179,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk8,sk8)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk8))
| ~ memberP(app(sk4,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58126,c_6482]) ).
tcf(c_58184,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk8,sk8)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58128,c_6482]) ).
tcf(c_58190,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk4,sk8),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk8))
| ~ memberP(app(sk4,app(sk8,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58118,c_6482]) ).
tcf(c_58196,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ( app(app(sk4,sk8),X0) != app(sk4,app(sk8,sk8)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58125,c_6482]) ).
tcf(c_58201,plain,
! [X0: $i] :
( ( app(sk4,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk8)) != app(X0,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58116,c_6482]) ).
tcf(c_58206,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk8,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(app(sk4,app(sk8,sk8)),X0)) ),
inference(light_normalisation,[status(thm)],[c_58115,c_56777]) ).
tcf(c_58207,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk8,sk8)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(app(sk4,app(sk8,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58206,c_6482]) ).
tcf(c_58273,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk8,sk8)),sk8),X0) = app(app(sk4,app(sk8,sk8)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_16217]) ).
tcf(c_58274,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk8,sk8)),sk7),X0) = app(app(sk4,app(sk8,sk8)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_16216]) ).
tcf(c_58275,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk8,sk8)),sk4),X0) = app(app(sk4,app(sk8,sk8)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_16215]) ).
tcf(c_58276,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk4,app(sk8,sk8)))) = app(cons(X1,X0),app(sk4,app(sk8,sk8))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_404]) ).
tcf(c_58277,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk4,app(sk8,sk8))),X0) = app(X1,app(app(sk4,app(sk8,sk8)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_396]) ).
tcf(c_58278,plain,
! [X0: $i] :
( ( app(sk4,app(sk8,sk8)) = nil )
| ( app(tl(app(sk4,app(sk8,sk8))),X0) = tl(app(app(sk4,app(sk8,sk8)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_380]) ).
tcf(c_58279,plain,
! [X0: $i] :
( ( app(sk4,app(sk8,sk8)) = nil )
| ( hd(app(app(sk4,app(sk8,sk8)),X0)) = hd(app(sk4,app(sk8,sk8))) )
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_370]) ).
tcf(c_58280,plain,
( ( app(app(sk4,sk8),app(sk4,app(sk8,sk8))) = app(sk4,app(sk8,app(sk4,app(sk8,sk8)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_56347]) ).
tcf(c_58281,plain,
( ( app(app(sk8,sk7),app(sk4,app(sk8,sk8))) = app(sk8,app(sk7,app(sk4,app(sk8,sk8)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_45540]) ).
tcf(c_58282,plain,
( ( app(app(sk7,sk7),app(sk4,app(sk8,sk8))) = app(sk7,app(sk7,app(sk4,app(sk8,sk8)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_45539]) ).
tcf(c_58283,plain,
( ( app(app(sk4,sk7),app(sk4,app(sk8,sk8))) = app(sk4,app(sk7,app(sk4,app(sk8,sk8)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_45538]) ).
tcf(c_58284,plain,
( ( app(app(sk8,sk4),app(sk4,app(sk8,sk8))) = app(sk8,app(sk4,app(sk4,app(sk8,sk8)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_37633]) ).
tcf(c_58285,plain,
( ( app(app(sk7,sk4),app(sk4,app(sk8,sk8))) = app(sk7,app(sk4,app(sk4,app(sk8,sk8)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_37632]) ).
tcf(c_58286,plain,
( ( app(app(sk4,sk4),app(sk4,app(sk8,sk8))) = app(sk4,app(sk4,app(sk4,app(sk8,sk8)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_37631]) ).
tcf(c_58287,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk4,app(sk8,sk8))) = tl(app(sk8,app(sk4,app(sk8,sk8)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_14611]) ).
tcf(c_58288,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk4,app(sk8,sk8))) = tl(app(sk7,app(sk4,app(sk8,sk8)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_14610]) ).
tcf(c_58289,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk4,app(sk8,sk8))) = tl(app(sk4,app(sk4,app(sk8,sk8)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_14609]) ).
tcf(c_58290,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk4,app(sk8,sk8)))) = hd(sk8) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_11903]) ).
tcf(c_58291,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk4,app(sk8,sk8)))) = hd(sk7) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_11902]) ).
tcf(c_58292,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk4,app(sk8,sk8)))) = hd(sk4) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_11901]) ).
tcf(c_58293,plain,
( cyclefreeP(app(sk4,app(sk8,sk8)))
| ( app(app(skaf51(app(sk4,app(sk8,sk8))),cons(skaf49(app(sk4,app(sk8,sk8))),skaf52(app(sk4,app(sk8,sk8))))),cons(skaf50(app(sk4,app(sk8,sk8))),skaf53(app(sk4,app(sk8,sk8))))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_414]) ).
tcf(c_58294,plain,
( totalorderP(app(sk4,app(sk8,sk8)))
| ( app(app(skaf56(app(sk4,app(sk8,sk8))),cons(skaf54(app(sk4,app(sk8,sk8))),skaf57(app(sk4,app(sk8,sk8))))),cons(skaf55(app(sk4,app(sk8,sk8))),skaf58(app(sk4,app(sk8,sk8))))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_413]) ).
tcf(c_58295,plain,
( strictorderP(app(sk4,app(sk8,sk8)))
| ( app(app(skaf61(app(sk4,app(sk8,sk8))),cons(skaf59(app(sk4,app(sk8,sk8))),skaf62(app(sk4,app(sk8,sk8))))),cons(skaf60(app(sk4,app(sk8,sk8))),skaf63(app(sk4,app(sk8,sk8))))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_412]) ).
tcf(c_58296,plain,
( totalorderedP(app(sk4,app(sk8,sk8)))
| ( app(app(skaf66(app(sk4,app(sk8,sk8))),cons(skaf64(app(sk4,app(sk8,sk8))),skaf67(app(sk4,app(sk8,sk8))))),cons(skaf65(app(sk4,app(sk8,sk8))),skaf68(app(sk4,app(sk8,sk8))))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_411]) ).
tcf(c_58297,plain,
( strictorderedP(app(sk4,app(sk8,sk8)))
| ( app(app(skaf71(app(sk4,app(sk8,sk8))),cons(skaf69(app(sk4,app(sk8,sk8))),skaf72(app(sk4,app(sk8,sk8))))),cons(skaf70(app(sk4,app(sk8,sk8))),skaf73(app(sk4,app(sk8,sk8))))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_410]) ).
tcf(c_58298,plain,
( duplicatefreeP(app(sk4,app(sk8,sk8)))
| ( app(app(skaf75(app(sk4,app(sk8,sk8))),cons(skaf74(app(sk4,app(sk8,sk8))),skaf76(app(sk4,app(sk8,sk8))))),cons(skaf74(app(sk4,app(sk8,sk8))),skaf77(app(sk4,app(sk8,sk8))))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_409]) ).
tcf(c_58299,plain,
( equalelemsP(app(sk4,app(sk8,sk8)))
| ( app(skaf80(app(sk4,app(sk8,sk8))),cons(skaf78(app(sk4,app(sk8,sk8))),cons(skaf79(app(sk4,app(sk8,sk8))),skaf81(app(sk4,app(sk8,sk8)))))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_389]) ).
tcf(c_58300,plain,
( ( hd(cons(sk6,app(sk4,app(sk8,sk8)))) = sk6 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_10017]) ).
tcf(c_58301,plain,
( ( app(sk4,app(sk8,sk8)) = nil )
| ( cons(skaf83(app(sk4,app(sk8,sk8))),skaf82(app(sk4,app(sk8,sk8)))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_356]) ).
tcf(c_58302,plain,
( ( app(sk4,app(sk8,sk8)) = nil )
| ( cons(hd(app(sk4,app(sk8,sk8))),tl(app(sk4,app(sk8,sk8)))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_351]) ).
tcf(c_58303,plain,
( ( hd(cons(sk5,app(sk4,app(sk8,sk8)))) = sk5 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_10016]) ).
tcf(c_58304,plain,
( ( tl(cons(sk6,app(sk4,app(sk8,sk8)))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_9887]) ).
tcf(c_58305,plain,
( ( tl(cons(sk5,app(sk4,app(sk8,sk8)))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_9886]) ).
tcf(c_58306,plain,
( duplicatefreeP(app(sk4,app(sk8,sk8)))
| ~ iPr_def_11
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_6471]) ).
tcf(c_58307,plain,
( ( app(nil,app(sk4,app(sk8,sk8))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_321]) ).
tcf(c_58308,plain,
( ( app(app(sk4,app(sk8,sk8)),nil) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_320]) ).
tcf(c_58514,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ rearsegP(X0,app(sk4,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_57351,c_400]) ).
tcf(c_58515,plain,
( ( app(skaf46(app(sk4,app(sk8,sk4)),sk4),sk4) = app(sk4,app(sk8,sk4)) )
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_57351,c_378]) ).
tcf(c_58516,plain,
( ( app(sk4,app(sk8,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ rearsegP(sk4,app(sk4,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_57351,c_375]) ).
tcf(c_58517,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ rearsegP(X0,app(sk4,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58514,c_6486]) ).
tcf(c_58523,plain,
( ( app(sk4,app(sk8,sk4)) = sk4 )
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ rearsegP(sk4,app(sk4,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58516,c_6486]) ).
tcf(c_58528,plain,
( ( app(skaf46(app(sk4,app(sk8,sk4)),sk4),sk4) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58515,c_6486]) ).
tcf(c_58552,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ rearsegP(X0,app(sk4,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_57744,c_400]) ).
tcf(c_58553,plain,
( ( app(skaf46(app(sk4,app(sk8,sk7)),sk7),sk7) = app(sk4,app(sk8,sk7)) )
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_57744,c_378]) ).
tcf(c_58554,plain,
( ( app(sk4,app(sk8,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ rearsegP(sk7,app(sk4,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_57744,c_375]) ).
tcf(c_58555,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ rearsegP(X0,app(sk4,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58552,c_6483]) ).
tcf(c_58561,plain,
( ( app(sk4,app(sk8,sk7)) = sk7 )
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ rearsegP(sk7,app(sk4,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58554,c_6483]) ).
tcf(c_58566,plain,
( ( app(skaf46(app(sk4,app(sk8,sk7)),sk7),sk7) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58553,c_6483]) ).
tcf(c_58584,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk5,skaf42(X0,X1)) = nil )
| ( cons(sk5,skaf42(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk5,skaf42(X0,X1)))
| ( skaf42(X0,X1) != tl(X2) )
| ( hd(cons(sk5,skaf42(X0,X1))) != hd(X2) ) ),
inference(superposition,[status(thm)],[c_10211,c_424]) ).
tcf(c_58587,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk5,skaf42(X0,X1)) = nil )
| ( cons(sk5,skaf42(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk5,skaf42(X0,X1)))
| ( hd(X2) != sk5 )
| ( skaf42(X0,X1) != tl(X2) ) ),
inference(light_normalisation,[status(thm)],[c_58584,c_10679]) ).
tcf(c_58607,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ rearsegP(X0,app(sk4,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_58136,c_400]) ).
tcf(c_58608,plain,
( ( app(skaf46(app(sk4,app(sk8,sk8)),sk8),sk8) = app(sk4,app(sk8,sk8)) )
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_58136,c_378]) ).
tcf(c_58609,plain,
( ( app(sk4,app(sk8,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ rearsegP(sk8,app(sk4,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_58136,c_375]) ).
tcf(c_58610,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ rearsegP(X0,app(sk4,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58607,c_6482]) ).
tcf(c_58616,plain,
( ( app(sk4,app(sk8,sk8)) = sk8 )
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ rearsegP(sk8,app(sk4,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58609,c_6482]) ).
tcf(c_58621,plain,
( ( app(skaf46(app(sk4,app(sk8,sk8)),sk8),sk8) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58608,c_6482]) ).
tcf(c_58645,plain,
! [X0: $i] :
( frontsegP(X0,app(sk4,sk8))
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ frontsegP(X0,app(sk4,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_57354,c_401]) ).
tcf(c_58646,plain,
( ( app(app(sk4,sk8),skaf45(app(sk4,app(sk8,sk4)),app(sk4,sk8))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_57354,c_379]) ).
tcf(c_58647,plain,
( ( app(sk4,app(sk8,sk4)) = app(sk4,sk8) )
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ frontsegP(app(sk4,sk8),app(sk4,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_57354,c_376]) ).
tcf(c_58665,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(X0,app(sk4,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_57361,c_399]) ).
tcf(c_58666,plain,
( ( app(app(skaf47(app(sk4,app(sk8,sk4)),sk8),sk8),skaf48(sk8,app(sk4,app(sk8,sk4)))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(sk8)
| ~ ssList(app(sk4,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_57361,c_415]) ).
tcf(c_58667,plain,
( ( app(sk4,app(sk8,sk4)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk4,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_57361,c_374]) ).
tcf(c_58668,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(X0,app(sk4,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58665,c_6482]) ).
tcf(c_58673,plain,
( ( app(sk4,app(sk8,sk4)) = sk8 )
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk4,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58667,c_6482]) ).
tcf(c_58677,plain,
( ( app(app(skaf47(app(sk4,app(sk8,sk4)),sk8),sk8),skaf48(sk8,app(sk4,app(sk8,sk4)))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58666,c_6482]) ).
tcf(c_58687,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X1)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(X0,app(sk4,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_57364,c_399]) ).
tcf(c_58688,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk4,app(sk8,sk4)),X0),X0),skaf48(X0,app(sk4,app(sk8,sk4)))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk4,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_57364,c_415]) ).
tcf(c_58689,plain,
! [X0: $i] :
( ( app(sk4,app(sk8,sk4)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(X0,app(sk4,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_57364,c_374]) ).
tcf(c_58690,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk4,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_57364,c_27069]) ).
tcf(c_58693,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk4,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_57364,c_27109]) ).
tcf(c_58694,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk7)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk4,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58693,c_24748]) ).
tcf(c_58698,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk7)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk4,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58690,c_9527]) ).
tcf(c_58723,plain,
! [X0: $i] :
( frontsegP(X0,app(sk4,sk8))
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ frontsegP(X0,app(sk4,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_57747,c_401]) ).
tcf(c_58724,plain,
( ( app(app(sk4,sk8),skaf45(app(sk4,app(sk8,sk7)),app(sk4,sk8))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_57747,c_379]) ).
tcf(c_58725,plain,
( ( app(sk4,app(sk8,sk7)) = app(sk4,sk8) )
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ frontsegP(app(sk4,sk8),app(sk4,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_57747,c_376]) ).
tcf(c_58758,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(X0,app(sk4,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_57771,c_399]) ).
tcf(c_58759,plain,
( ( app(app(skaf47(app(sk4,app(sk8,sk7)),sk8),sk8),skaf48(sk8,app(sk4,app(sk8,sk7)))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(sk8)
| ~ ssList(app(sk4,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_57771,c_415]) ).
tcf(c_58760,plain,
( ( app(sk4,app(sk8,sk7)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk4,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_57771,c_374]) ).
tcf(c_58761,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(X0,app(sk4,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58758,c_6482]) ).
tcf(c_58766,plain,
( ( app(sk4,app(sk8,sk7)) = sk8 )
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk4,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58760,c_6482]) ).
tcf(c_58770,plain,
( ( app(app(skaf47(app(sk4,app(sk8,sk7)),sk8),sk8),skaf48(sk8,app(sk4,app(sk8,sk7)))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58759,c_6482]) ).
tcf(c_58800,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X1)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(X0,app(sk4,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_57774,c_399]) ).
tcf(c_58801,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk4,app(sk8,sk7)),X0),X0),skaf48(X0,app(sk4,app(sk8,sk7)))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk4,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_57774,c_415]) ).
tcf(c_58802,plain,
! [X0: $i] :
( ( app(sk4,app(sk8,sk7)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(X0,app(sk4,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_57774,c_374]) ).
tcf(c_58803,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk4,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_57774,c_27069]) ).
tcf(c_58806,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk4,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_57774,c_27109]) ).
tcf(c_58807,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk7)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk4,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58806,c_24748]) ).
tcf(c_58811,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk7)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk4,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58803,c_9527]) ).
tcf(c_58851,plain,
! [X0: $i] :
( frontsegP(X0,app(sk4,sk8))
| ~ ssList(X0)
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ frontsegP(X0,app(sk4,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_58139,c_401]) ).
tcf(c_58852,plain,
( ( app(app(sk4,sk8),skaf45(app(sk4,app(sk8,sk8)),app(sk4,sk8))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_58139,c_379]) ).
tcf(c_58853,plain,
( ( app(sk4,app(sk8,sk8)) = app(sk4,sk8) )
| ~ ssList(app(sk4,sk8))
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ frontsegP(app(sk4,sk8),app(sk4,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_58139,c_376]) ).
tcf(c_58882,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk6,skaf48(X0,X1)) = nil )
| ( cons(sk6,skaf48(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk6,skaf48(X0,X1)))
| ( skaf48(X0,X1) != tl(X2) )
| ( hd(cons(sk6,skaf48(X0,X1))) != hd(X2) ) ),
inference(superposition,[status(thm)],[c_10333,c_424]) ).
tcf(c_58885,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk6,skaf48(X0,X1)) = nil )
| ( cons(sk6,skaf48(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk6,skaf48(X0,X1)))
| ( hd(X2) != sk6 )
| ( skaf48(X0,X1) != tl(X2) ) ),
inference(light_normalisation,[status(thm)],[c_58882,c_11246]) ).
tcf(c_58894,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(sk5,skaf48(X0,X1))))
| ( cons(sk5,skaf48(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk5)
| ~ strictorderedP(cons(sk5,skaf48(X0,X1)))
| ~ ssList(cons(sk5,skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_10674,c_407]) ).
tcf(c_58895,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(sk5,skaf48(X0,X1))))
| ( cons(sk5,skaf48(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk5)
| ~ totalorderedP(cons(sk5,skaf48(X0,X1)))
| ~ ssList(cons(sk5,skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_10674,c_406]) ).
tcf(c_58934,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(sk5,skaf47(X0,X1))))
| ( cons(sk5,skaf47(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk5)
| ~ strictorderedP(cons(sk5,skaf47(X0,X1)))
| ~ ssList(cons(sk5,skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_10675,c_407]) ).
tcf(c_58935,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(sk5,skaf47(X0,X1))))
| ( cons(sk5,skaf47(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk5)
| ~ totalorderedP(cons(sk5,skaf47(X0,X1)))
| ~ ssList(cons(sk5,skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_10675,c_406]) ).
tcf(c_58965,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(sk5,skaf46(X0,X1))))
| ( cons(sk5,skaf46(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk5)
| ~ strictorderedP(cons(sk5,skaf46(X0,X1)))
| ~ ssList(cons(sk5,skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_10676,c_407]) ).
tcf(c_58966,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(sk5,skaf46(X0,X1))))
| ( cons(sk5,skaf46(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk5)
| ~ totalorderedP(cons(sk5,skaf46(X0,X1)))
| ~ ssList(cons(sk5,skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_10676,c_406]) ).
tcf(c_58995,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(sk5,skaf45(X0,X1))))
| ( cons(sk5,skaf45(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk5)
| ~ strictorderedP(cons(sk5,skaf45(X0,X1)))
| ~ ssList(cons(sk5,skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_10677,c_407]) ).
tcf(c_58996,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(sk5,skaf45(X0,X1))))
| ( cons(sk5,skaf45(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk5)
| ~ totalorderedP(cons(sk5,skaf45(X0,X1)))
| ~ ssList(cons(sk5,skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_10677,c_406]) ).
tcf(c_59027,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(sk5,skaf43(X0,X1))))
| ( cons(sk5,skaf43(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk5)
| ~ strictorderedP(cons(sk5,skaf43(X0,X1)))
| ~ ssList(cons(sk5,skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_10678,c_407]) ).
tcf(c_59028,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(sk5,skaf43(X0,X1))))
| ( cons(sk5,skaf43(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk5)
| ~ totalorderedP(cons(sk5,skaf43(X0,X1)))
| ~ ssList(cons(sk5,skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_10678,c_406]) ).
tcf(c_59044,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(sk5,skaf42(X0,X1))))
| ( cons(sk5,skaf42(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk5)
| ~ strictorderedP(cons(sk5,skaf42(X0,X1)))
| ~ ssList(cons(sk5,skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_10679,c_407]) ).
tcf(c_59045,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(sk5,skaf42(X0,X1))))
| ( cons(sk5,skaf42(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk5)
| ~ totalorderedP(cons(sk5,skaf42(X0,X1)))
| ~ ssList(cons(sk5,skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_10679,c_406]) ).
tcf(c_59067,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(sk6,skaf48(X0,X1))))
| ( cons(sk6,skaf48(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk6)
| ~ strictorderedP(cons(sk6,skaf48(X0,X1)))
| ~ ssList(cons(sk6,skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_11246,c_407]) ).
tcf(c_59068,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(sk6,skaf48(X0,X1))))
| ( cons(sk6,skaf48(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk6)
| ~ totalorderedP(cons(sk6,skaf48(X0,X1)))
| ~ ssList(cons(sk6,skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_11246,c_406]) ).
tcf(c_59435,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(X0,app(sk4,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_58146,c_399]) ).
tcf(c_59436,plain,
( ( app(app(skaf47(app(sk4,app(sk8,sk8)),sk8),sk8),skaf48(sk8,app(sk4,app(sk8,sk8)))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(sk8)
| ~ ssList(app(sk4,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_58146,c_415]) ).
tcf(c_59437,plain,
( ( app(sk4,app(sk8,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk4,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_58146,c_374]) ).
tcf(c_59438,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(X0,app(sk4,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59435,c_6482]) ).
tcf(c_59443,plain,
( ( app(sk4,app(sk8,sk8)) = sk8 )
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk4,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59437,c_6482]) ).
tcf(c_59447,plain,
( ( app(app(skaf47(app(sk4,app(sk8,sk8)),sk8),sk8),skaf48(sk8,app(sk4,app(sk8,sk8)))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59436,c_6482]) ).
tcf(c_59457,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X1)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(X0,app(sk4,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_58149,c_399]) ).
tcf(c_59458,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk4,app(sk8,sk8)),X0),X0),skaf48(X0,app(sk4,app(sk8,sk8)))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk4,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_58149,c_415]) ).
tcf(c_59459,plain,
! [X0: $i] :
( ( app(sk4,app(sk8,sk8)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(X0,app(sk4,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_58149,c_374]) ).
tcf(c_59460,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk4,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_58149,c_27069]) ).
tcf(c_59463,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk4,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_58149,c_27109]) ).
tcf(c_59464,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk7)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk4,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59463,c_24748]) ).
tcf(c_59468,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk7)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk4,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59460,c_9527]) ).
tcf(c_59493,plain,
app(app(sk7,sk8),sk4) = app(sk7,app(sk8,sk4)),
inference(superposition,[status(thm)],[c_6486,c_56348]) ).
tcf(c_59494,plain,
app(app(sk7,sk8),sk7) = app(sk7,app(sk8,sk7)),
inference(superposition,[status(thm)],[c_6483,c_56348]) ).
tcf(c_59495,plain,
app(app(sk7,sk8),sk8) = app(sk7,app(sk8,sk8)),
inference(superposition,[status(thm)],[c_6482,c_56348]) ).
tcf(c_59496,plain,
app(app(sk7,sk8),nil) = app(sk7,app(sk8,nil)),
inference(superposition,[status(thm)],[c_255,c_56348]) ).
tcf(c_59497,plain,
! [X0: $i] : app(app(sk7,sk8),skaf82(X0)) = app(sk7,app(sk8,skaf82(X0))),
inference(superposition,[status(thm)],[c_260,c_56348]) ).
tcf(c_59498,plain,
! [X0: $i] : app(app(sk7,sk8),skaf81(X0)) = app(sk7,app(sk8,skaf81(X0))),
inference(superposition,[status(thm)],[c_261,c_56348]) ).
tcf(c_59499,plain,
! [X0: $i] : app(app(sk7,sk8),skaf80(X0)) = app(sk7,app(sk8,skaf80(X0))),
inference(superposition,[status(thm)],[c_262,c_56348]) ).
tcf(c_59500,plain,
! [X0: $i] : app(app(sk7,sk8),skaf77(X0)) = app(sk7,app(sk8,skaf77(X0))),
inference(superposition,[status(thm)],[c_265,c_56348]) ).
tcf(c_59501,plain,
! [X0: $i] : app(app(sk7,sk8),skaf76(X0)) = app(sk7,app(sk8,skaf76(X0))),
inference(superposition,[status(thm)],[c_266,c_56348]) ).
tcf(c_59502,plain,
! [X0: $i] : app(app(sk7,sk8),skaf75(X0)) = app(sk7,app(sk8,skaf75(X0))),
inference(superposition,[status(thm)],[c_267,c_56348]) ).
tcf(c_59503,plain,
! [X0: $i] : app(app(sk7,sk8),skaf73(X0)) = app(sk7,app(sk8,skaf73(X0))),
inference(superposition,[status(thm)],[c_269,c_56348]) ).
tcf(c_59504,plain,
! [X0: $i] : app(app(sk7,sk8),skaf72(X0)) = app(sk7,app(sk8,skaf72(X0))),
inference(superposition,[status(thm)],[c_270,c_56348]) ).
tcf(c_59505,plain,
! [X0: $i] : app(app(sk7,sk8),skaf71(X0)) = app(sk7,app(sk8,skaf71(X0))),
inference(superposition,[status(thm)],[c_271,c_56348]) ).
tcf(c_59506,plain,
! [X0: $i] : app(app(sk7,sk8),skaf68(X0)) = app(sk7,app(sk8,skaf68(X0))),
inference(superposition,[status(thm)],[c_274,c_56348]) ).
tcf(c_59507,plain,
! [X0: $i] : app(app(sk7,sk8),skaf67(X0)) = app(sk7,app(sk8,skaf67(X0))),
inference(superposition,[status(thm)],[c_275,c_56348]) ).
tcf(c_59508,plain,
! [X0: $i] : app(app(sk7,sk8),skaf66(X0)) = app(sk7,app(sk8,skaf66(X0))),
inference(superposition,[status(thm)],[c_276,c_56348]) ).
tcf(c_59509,plain,
! [X0: $i] : app(app(sk7,sk8),skaf63(X0)) = app(sk7,app(sk8,skaf63(X0))),
inference(superposition,[status(thm)],[c_279,c_56348]) ).
tcf(c_59510,plain,
! [X0: $i] : app(app(sk7,sk8),skaf62(X0)) = app(sk7,app(sk8,skaf62(X0))),
inference(superposition,[status(thm)],[c_280,c_56348]) ).
tcf(c_59511,plain,
! [X0: $i] : app(app(sk7,sk8),skaf61(X0)) = app(sk7,app(sk8,skaf61(X0))),
inference(superposition,[status(thm)],[c_281,c_56348]) ).
tcf(c_59512,plain,
! [X0: $i] : app(app(sk7,sk8),skaf58(X0)) = app(sk7,app(sk8,skaf58(X0))),
inference(superposition,[status(thm)],[c_284,c_56348]) ).
tcf(c_59513,plain,
! [X0: $i] : app(app(sk7,sk8),skaf57(X0)) = app(sk7,app(sk8,skaf57(X0))),
inference(superposition,[status(thm)],[c_285,c_56348]) ).
tcf(c_59514,plain,
! [X0: $i] : app(app(sk7,sk8),skaf56(X0)) = app(sk7,app(sk8,skaf56(X0))),
inference(superposition,[status(thm)],[c_286,c_56348]) ).
tcf(c_59515,plain,
! [X0: $i] : app(app(sk7,sk8),skaf53(X0)) = app(sk7,app(sk8,skaf53(X0))),
inference(superposition,[status(thm)],[c_289,c_56348]) ).
tcf(c_59516,plain,
! [X0: $i] : app(app(sk7,sk8),skaf52(X0)) = app(sk7,app(sk8,skaf52(X0))),
inference(superposition,[status(thm)],[c_290,c_56348]) ).
tcf(c_59517,plain,
! [X0: $i] : app(app(sk7,sk8),skaf51(X0)) = app(sk7,app(sk8,skaf51(X0))),
inference(superposition,[status(thm)],[c_291,c_56348]) ).
tcf(c_59518,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk8),skaf48(X0,X1)) = app(sk7,app(sk8,skaf48(X0,X1))),
inference(superposition,[status(thm)],[c_295,c_56348]) ).
tcf(c_59519,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk8),skaf47(X0,X1)) = app(sk7,app(sk8,skaf47(X0,X1))),
inference(superposition,[status(thm)],[c_296,c_56348]) ).
tcf(c_59520,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk8),skaf46(X0,X1)) = app(sk7,app(sk8,skaf46(X0,X1))),
inference(superposition,[status(thm)],[c_297,c_56348]) ).
tcf(c_59521,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk8),skaf45(X0,X1)) = app(sk7,app(sk8,skaf45(X0,X1))),
inference(superposition,[status(thm)],[c_298,c_56348]) ).
tcf(c_59522,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk8),skaf43(X0,X1)) = app(sk7,app(sk8,skaf43(X0,X1))),
inference(superposition,[status(thm)],[c_299,c_56348]) ).
tcf(c_59523,plain,
! [X0: $i,X1: $i] : app(app(sk7,sk8),skaf42(X0,X1)) = app(sk7,app(sk8,skaf42(X0,X1))),
inference(superposition,[status(thm)],[c_300,c_56348]) ).
tcf(c_59524,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sk7,sk8),tl(X0)) = app(sk7,app(sk8,tl(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_56348]) ).
tcf(c_59525,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk7,sk8),app(X1,X0)) = app(sk7,app(sk8,app(X1,X0))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_56348]) ).
tcf(c_59526,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk7,sk8),cons(X1,X0)) = app(sk7,app(sk8,cons(X1,X0))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_56348]) ).
tcf(c_59527,plain,
app(app(sk7,sk8),iPr_def_16) = app(sk7,app(sk8,iPr_def_16)),
inference(superposition,[status(thm)],[c_9020,c_56348]) ).
tcf(c_59528,plain,
app(app(sk7,sk8),iPr_def_13) = app(sk7,app(sk8,iPr_def_13)),
inference(superposition,[status(thm)],[c_9527,c_56348]) ).
tcf(c_59529,plain,
app(app(sk7,sk8),iPr_def_12) = app(sk7,app(sk8,iPr_def_12)),
inference(superposition,[status(thm)],[c_9489,c_56348]) ).
tcf(c_59530,plain,
app(app(sk7,sk8),iPr_def_15) = app(sk7,app(sk8,iPr_def_15)),
inference(superposition,[status(thm)],[c_24748,c_56348]) ).
tcf(c_59531,plain,
app(app(sk7,sk8),iPr_def_14) = app(sk7,app(sk8,iPr_def_14)),
inference(superposition,[status(thm)],[c_9488,c_56348]) ).
tcf(c_59532,plain,
app(app(sk7,sk8),cons(sk6,sk4)) = app(sk7,app(sk8,cons(sk6,sk4))),
inference(superposition,[status(thm)],[c_28942,c_56348]) ).
tcf(c_59533,plain,
app(app(sk7,sk8),cons(sk6,sk7)) = app(sk7,app(sk8,cons(sk6,sk7))),
inference(superposition,[status(thm)],[c_28940,c_56348]) ).
tcf(c_59534,plain,
app(app(sk7,sk8),cons(sk6,sk8)) = app(sk7,app(sk8,cons(sk6,sk8))),
inference(superposition,[status(thm)],[c_28938,c_56348]) ).
tcf(c_59535,plain,
( ( app(app(sk7,sk8),app(sk4,app(sk4,sk4))) = app(sk7,app(sk8,app(sk4,app(sk4,sk4)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_56348]) ).
tcf(c_59536,plain,
( ( app(app(sk7,sk8),app(sk4,app(sk4,sk7))) = app(sk7,app(sk8,app(sk4,app(sk4,sk7)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_56348]) ).
tcf(c_59537,plain,
( ( app(app(sk7,sk8),app(sk4,app(sk4,sk8))) = app(sk7,app(sk8,app(sk4,app(sk4,sk8)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_56348]) ).
tcf(c_59538,plain,
( ( app(app(sk7,sk8),app(sk7,app(sk4,sk4))) = app(sk7,app(sk8,app(sk7,app(sk4,sk4)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_56348]) ).
tcf(c_59539,plain,
( ( app(app(sk7,sk8),app(sk7,app(sk4,sk7))) = app(sk7,app(sk8,app(sk7,app(sk4,sk7)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_56348]) ).
tcf(c_59540,plain,
( ( app(app(sk7,sk8),app(sk7,app(sk4,sk8))) = app(sk7,app(sk8,app(sk7,app(sk4,sk8)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_56348]) ).
tcf(c_59541,plain,
( ( app(app(sk7,sk8),app(sk8,app(sk4,sk4))) = app(sk7,app(sk8,app(sk8,app(sk4,sk4)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_56348]) ).
tcf(c_59542,plain,
( ( app(app(sk7,sk8),app(sk8,app(sk4,sk7))) = app(sk7,app(sk8,app(sk8,app(sk4,sk7)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_56348]) ).
tcf(c_59543,plain,
( ( app(app(sk7,sk8),app(sk8,app(sk4,sk8))) = app(sk7,app(sk8,app(sk8,app(sk4,sk8)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_56348]) ).
tcf(c_59544,plain,
( ( app(app(sk7,sk8),app(sk4,app(sk7,sk4))) = app(sk7,app(sk8,app(sk4,app(sk7,sk4)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_56348]) ).
tcf(c_59545,plain,
( ( app(app(sk7,sk8),app(sk4,app(sk7,sk7))) = app(sk7,app(sk8,app(sk4,app(sk7,sk7)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_56348]) ).
tcf(c_59546,plain,
( ( app(app(sk7,sk8),app(sk4,app(sk7,sk8))) = app(sk7,app(sk8,app(sk4,app(sk7,sk8)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_56348]) ).
tcf(c_59547,plain,
( ( app(app(sk7,sk8),app(sk7,app(sk7,sk4))) = app(sk7,app(sk8,app(sk7,app(sk7,sk4)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_56348]) ).
tcf(c_59548,plain,
( ( app(app(sk7,sk8),app(sk7,app(sk7,sk7))) = app(sk7,app(sk8,app(sk7,app(sk7,sk7)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_56348]) ).
tcf(c_59549,plain,
( ( app(app(sk7,sk8),app(sk7,app(sk7,sk8))) = app(sk7,app(sk8,app(sk7,app(sk7,sk8)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_56348]) ).
tcf(c_59550,plain,
( ( app(app(sk7,sk8),app(sk8,app(sk7,sk4))) = app(sk7,app(sk8,app(sk8,app(sk7,sk4)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_56348]) ).
tcf(c_59551,plain,
( ( app(app(sk7,sk8),app(sk8,app(sk7,sk7))) = app(sk7,app(sk8,app(sk8,app(sk7,sk7)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_56348]) ).
tcf(c_59552,plain,
( ( app(app(sk7,sk8),app(sk8,app(sk7,sk8))) = app(sk7,app(sk8,app(sk8,app(sk7,sk8)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_56348]) ).
tcf(c_59553,plain,
( ( app(app(sk7,sk8),app(sk4,app(sk8,sk4))) = app(sk7,app(sk8,app(sk4,app(sk8,sk4)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_56348]) ).
tcf(c_59554,plain,
( ( app(app(sk7,sk8),app(sk4,app(sk8,sk7))) = app(sk7,app(sk8,app(sk4,app(sk8,sk7)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_56348]) ).
tcf(c_59555,plain,
( ( app(app(sk7,sk8),app(sk4,app(sk8,sk8))) = app(sk7,app(sk8,app(sk4,app(sk8,sk8)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_56348]) ).
tcf(c_59556,plain,
app(app(sk7,sk8),nil) = app(sk7,sk8),
inference(light_normalisation,[status(thm)],[c_59496,c_9103]) ).
tcf(c_59785,plain,
( ssList(app(sk7,app(sk8,sk4)))
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59493,c_332]) ).
tcf(c_59786,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk8,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(app(app(sk7,sk8),sk4),X0)) ),
inference(superposition,[status(thm)],[c_59493,c_420]) ).
tcf(c_59787,plain,
! [X0: $i] :
( ( app(sk7,sk8) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_59493,c_398]) ).
tcf(c_59789,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk7,sk8),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk8))
| ~ memberP(app(sk7,app(sk8,sk4)),X0) ),
inference(superposition,[status(thm)],[c_59493,c_405]) ).
tcf(c_59790,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_59493,c_366]) ).
tcf(c_59791,plain,
( ( app(sk7,sk8) = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_59493,c_365]) ).
tcf(c_59792,plain,
( frontsegP(app(sk7,app(sk8,sk4)),app(sk7,sk8))
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59493,c_808]) ).
tcf(c_59793,plain,
( rearsegP(app(sk7,app(sk8,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59493,c_807]) ).
tcf(c_59794,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59493,c_388]) ).
tcf(c_59795,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59493,c_383]) ).
tcf(c_59796,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ( app(app(sk7,sk8),X0) != app(sk7,app(sk8,sk4)) ) ),
inference(superposition,[status(thm)],[c_59493,c_397]) ).
tcf(c_59797,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk8))
| ~ memberP(app(sk7,sk8),X0) ),
inference(superposition,[status(thm)],[c_59493,c_387]) ).
tcf(c_59798,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ frontsegP(app(sk7,sk8),X0) ),
inference(superposition,[status(thm)],[c_59493,c_384]) ).
tcf(c_59799,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk8,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59493,c_419]) ).
tcf(c_59800,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk8,sk4)),X0)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(superposition,[status(thm)],[c_59493,c_419]) ).
tcf(c_59801,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk8)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(app(sk7,sk8),sk4)) ),
inference(superposition,[status(thm)],[c_59493,c_420]) ).
tcf(c_59802,plain,
( ( app(sk7,sk8) = iPr_def_14 )
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_59493,c_51225]) ).
tcf(c_59803,plain,
( ( app(sk7,sk8) = nil )
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_59493,c_17629]) ).
tcf(c_59804,plain,
( ssList(app(sk7,app(sk8,sk4)))
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59785,c_6486]) ).
tcf(c_59807,plain,
( rearsegP(app(sk7,app(sk8,sk4)),sk4)
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59793,c_6486]) ).
tcf(c_59810,plain,
( frontsegP(app(sk7,app(sk8,sk4)),app(sk7,sk8))
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59792,c_6486]) ).
tcf(c_59816,plain,
( ( sk4 = nil )
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59790,c_6486]) ).
tcf(c_59823,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk8,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59795,c_6486]) ).
tcf(c_59828,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk8,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59794,c_6486]) ).
tcf(c_59833,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk8)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(sk4)
| ~ ssList(app(sk7,app(sk8,sk4))) ),
inference(light_normalisation,[status(thm)],[c_59801,c_59493]) ).
tcf(c_59834,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk8)
| ~ ssList(app(sk7,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59833,c_6482,c_6483,c_6486]) ).
tcf(c_59837,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk8,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59800,c_6482,c_6483,c_6486]) ).
tcf(c_59841,plain,
( ( app(sk7,sk8) = nil )
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59791,c_6486]) ).
tcf(c_59845,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk8,sk4)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ frontsegP(app(sk7,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59798,c_6486]) ).
tcf(c_59850,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk8,sk4)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk8))
| ~ memberP(app(sk7,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59797,c_6486]) ).
tcf(c_59855,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk8,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59799,c_6486]) ).
tcf(c_59861,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk7,sk8),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk8))
| ~ memberP(app(sk7,app(sk8,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59789,c_6486]) ).
tcf(c_59867,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ( app(app(sk7,sk8),X0) != app(sk7,app(sk8,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59796,c_6486]) ).
tcf(c_59872,plain,
! [X0: $i] :
( ( app(sk7,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59787,c_6486]) ).
tcf(c_59877,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk8,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(app(sk7,app(sk8,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_59786,c_59493]) ).
tcf(c_59878,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk8,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(app(sk7,app(sk8,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59877,c_6486]) ).
tcf(c_60013,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk8,sk4)),sk8),X0) = app(app(sk7,app(sk8,sk4)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_16217]) ).
tcf(c_60014,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk8,sk4)),sk7),X0) = app(app(sk7,app(sk8,sk4)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_16216]) ).
tcf(c_60015,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk8,sk4)),sk4),X0) = app(app(sk7,app(sk8,sk4)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_16215]) ).
tcf(c_60016,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk7,app(sk8,sk4)))) = app(cons(X1,X0),app(sk7,app(sk8,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_404]) ).
tcf(c_60017,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk7,app(sk8,sk4))),X0) = app(X1,app(app(sk7,app(sk8,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_396]) ).
tcf(c_60018,plain,
! [X0: $i] :
( ( app(sk7,app(sk8,sk4)) = nil )
| ( app(tl(app(sk7,app(sk8,sk4))),X0) = tl(app(app(sk7,app(sk8,sk4)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_380]) ).
tcf(c_60019,plain,
! [X0: $i] :
( ( app(sk7,app(sk8,sk4)) = nil )
| ( hd(app(app(sk7,app(sk8,sk4)),X0)) = hd(app(sk7,app(sk8,sk4))) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_370]) ).
tcf(c_60020,plain,
( ( app(app(sk7,sk8),app(sk7,app(sk8,sk4))) = app(sk7,app(sk8,app(sk7,app(sk8,sk4)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_56348]) ).
tcf(c_60021,plain,
( ( app(app(sk4,sk8),app(sk7,app(sk8,sk4))) = app(sk4,app(sk8,app(sk7,app(sk8,sk4)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_56347]) ).
tcf(c_60022,plain,
( ( app(app(sk8,sk7),app(sk7,app(sk8,sk4))) = app(sk8,app(sk7,app(sk7,app(sk8,sk4)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_45540]) ).
tcf(c_60023,plain,
( ( app(app(sk7,sk7),app(sk7,app(sk8,sk4))) = app(sk7,app(sk7,app(sk7,app(sk8,sk4)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_45539]) ).
tcf(c_60024,plain,
( ( app(app(sk4,sk7),app(sk7,app(sk8,sk4))) = app(sk4,app(sk7,app(sk7,app(sk8,sk4)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_45538]) ).
tcf(c_60025,plain,
( ( app(app(sk8,sk4),app(sk7,app(sk8,sk4))) = app(sk8,app(sk4,app(sk7,app(sk8,sk4)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_37633]) ).
tcf(c_60026,plain,
( ( app(app(sk7,sk4),app(sk7,app(sk8,sk4))) = app(sk7,app(sk4,app(sk7,app(sk8,sk4)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_37632]) ).
tcf(c_60027,plain,
( ( app(app(sk4,sk4),app(sk7,app(sk8,sk4))) = app(sk4,app(sk4,app(sk7,app(sk8,sk4)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_37631]) ).
tcf(c_60028,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk7,app(sk8,sk4))) = tl(app(sk8,app(sk7,app(sk8,sk4)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_14611]) ).
tcf(c_60029,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk7,app(sk8,sk4))) = tl(app(sk7,app(sk7,app(sk8,sk4)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_14610]) ).
tcf(c_60030,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk7,app(sk8,sk4))) = tl(app(sk4,app(sk7,app(sk8,sk4)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_14609]) ).
tcf(c_60031,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk7,app(sk8,sk4)))) = hd(sk8) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_11903]) ).
tcf(c_60032,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk7,app(sk8,sk4)))) = hd(sk7) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_11902]) ).
tcf(c_60033,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk7,app(sk8,sk4)))) = hd(sk4) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_11901]) ).
tcf(c_60034,plain,
( cyclefreeP(app(sk7,app(sk8,sk4)))
| ( app(app(skaf51(app(sk7,app(sk8,sk4))),cons(skaf49(app(sk7,app(sk8,sk4))),skaf52(app(sk7,app(sk8,sk4))))),cons(skaf50(app(sk7,app(sk8,sk4))),skaf53(app(sk7,app(sk8,sk4))))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_414]) ).
tcf(c_60035,plain,
( totalorderP(app(sk7,app(sk8,sk4)))
| ( app(app(skaf56(app(sk7,app(sk8,sk4))),cons(skaf54(app(sk7,app(sk8,sk4))),skaf57(app(sk7,app(sk8,sk4))))),cons(skaf55(app(sk7,app(sk8,sk4))),skaf58(app(sk7,app(sk8,sk4))))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_413]) ).
tcf(c_60036,plain,
( strictorderP(app(sk7,app(sk8,sk4)))
| ( app(app(skaf61(app(sk7,app(sk8,sk4))),cons(skaf59(app(sk7,app(sk8,sk4))),skaf62(app(sk7,app(sk8,sk4))))),cons(skaf60(app(sk7,app(sk8,sk4))),skaf63(app(sk7,app(sk8,sk4))))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_412]) ).
tcf(c_60037,plain,
( totalorderedP(app(sk7,app(sk8,sk4)))
| ( app(app(skaf66(app(sk7,app(sk8,sk4))),cons(skaf64(app(sk7,app(sk8,sk4))),skaf67(app(sk7,app(sk8,sk4))))),cons(skaf65(app(sk7,app(sk8,sk4))),skaf68(app(sk7,app(sk8,sk4))))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_411]) ).
tcf(c_60038,plain,
( strictorderedP(app(sk7,app(sk8,sk4)))
| ( app(app(skaf71(app(sk7,app(sk8,sk4))),cons(skaf69(app(sk7,app(sk8,sk4))),skaf72(app(sk7,app(sk8,sk4))))),cons(skaf70(app(sk7,app(sk8,sk4))),skaf73(app(sk7,app(sk8,sk4))))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_410]) ).
tcf(c_60039,plain,
( duplicatefreeP(app(sk7,app(sk8,sk4)))
| ( app(app(skaf75(app(sk7,app(sk8,sk4))),cons(skaf74(app(sk7,app(sk8,sk4))),skaf76(app(sk7,app(sk8,sk4))))),cons(skaf74(app(sk7,app(sk8,sk4))),skaf77(app(sk7,app(sk8,sk4))))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_409]) ).
tcf(c_60040,plain,
( equalelemsP(app(sk7,app(sk8,sk4)))
| ( app(skaf80(app(sk7,app(sk8,sk4))),cons(skaf78(app(sk7,app(sk8,sk4))),cons(skaf79(app(sk7,app(sk8,sk4))),skaf81(app(sk7,app(sk8,sk4)))))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_389]) ).
tcf(c_60041,plain,
( ( hd(cons(sk6,app(sk7,app(sk8,sk4)))) = sk6 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_10017]) ).
tcf(c_60042,plain,
( ( app(sk7,app(sk8,sk4)) = nil )
| ( cons(skaf83(app(sk7,app(sk8,sk4))),skaf82(app(sk7,app(sk8,sk4)))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_356]) ).
tcf(c_60043,plain,
( ( app(sk7,app(sk8,sk4)) = nil )
| ( cons(hd(app(sk7,app(sk8,sk4))),tl(app(sk7,app(sk8,sk4)))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_351]) ).
tcf(c_60044,plain,
( ( hd(cons(sk5,app(sk7,app(sk8,sk4)))) = sk5 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_10016]) ).
tcf(c_60045,plain,
( ( tl(cons(sk6,app(sk7,app(sk8,sk4)))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_9887]) ).
tcf(c_60046,plain,
( ( tl(cons(sk5,app(sk7,app(sk8,sk4)))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_9886]) ).
tcf(c_60047,plain,
( duplicatefreeP(app(sk7,app(sk8,sk4)))
| ~ iPr_def_11
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_6471]) ).
tcf(c_60048,plain,
( ( app(nil,app(sk7,app(sk8,sk4))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_321]) ).
tcf(c_60049,plain,
( ( app(app(sk7,app(sk8,sk4)),nil) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_320]) ).
tcf(c_60270,plain,
( ssList(app(sk7,app(sk8,sk7)))
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59494,c_332]) ).
tcf(c_60271,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk8,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(app(app(sk7,sk8),sk7),X0)) ),
inference(superposition,[status(thm)],[c_59494,c_420]) ).
tcf(c_60272,plain,
! [X0: $i] :
( ( app(sk7,sk8) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_59494,c_398]) ).
tcf(c_60274,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk7,sk8),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk8))
| ~ memberP(app(sk7,app(sk8,sk7)),X0) ),
inference(superposition,[status(thm)],[c_59494,c_405]) ).
tcf(c_60275,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_59494,c_366]) ).
tcf(c_60276,plain,
( ( app(sk7,sk8) = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_59494,c_365]) ).
tcf(c_60277,plain,
( frontsegP(app(sk7,app(sk8,sk7)),app(sk7,sk8))
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59494,c_808]) ).
tcf(c_60278,plain,
( rearsegP(app(sk7,app(sk8,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59494,c_807]) ).
tcf(c_60279,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59494,c_388]) ).
tcf(c_60280,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59494,c_383]) ).
tcf(c_60281,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ( app(app(sk7,sk8),X0) != app(sk7,app(sk8,sk7)) ) ),
inference(superposition,[status(thm)],[c_59494,c_397]) ).
tcf(c_60282,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk8))
| ~ memberP(app(sk7,sk8),X0) ),
inference(superposition,[status(thm)],[c_59494,c_387]) ).
tcf(c_60283,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ frontsegP(app(sk7,sk8),X0) ),
inference(superposition,[status(thm)],[c_59494,c_384]) ).
tcf(c_60284,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk8,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59494,c_419]) ).
tcf(c_60285,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk8,sk7)),X0)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(superposition,[status(thm)],[c_59494,c_419]) ).
tcf(c_60286,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk8)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(app(app(sk7,sk8),sk7)) ),
inference(superposition,[status(thm)],[c_59494,c_420]) ).
tcf(c_60287,plain,
( ( app(sk7,sk8) = iPr_def_14 )
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_59494,c_51335]) ).
tcf(c_60288,plain,
( ( app(sk7,sk8) = nil )
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_59494,c_17625]) ).
tcf(c_60289,plain,
( ssList(app(sk7,app(sk8,sk7)))
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60270,c_6483]) ).
tcf(c_60292,plain,
( rearsegP(app(sk7,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60278,c_6483]) ).
tcf(c_60295,plain,
( frontsegP(app(sk7,app(sk8,sk7)),app(sk7,sk8))
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60277,c_6483]) ).
tcf(c_60301,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk8)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk8,sk7))) ),
inference(light_normalisation,[status(thm)],[c_60286,c_59494]) ).
tcf(c_60302,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk8)
| ~ ssList(app(sk7,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60301,c_6482,c_6483]) ).
tcf(c_60305,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk8,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60285,c_6482,c_6483]) ).
tcf(c_60309,plain,
( ( sk7 = nil )
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60275,c_6483]) ).
tcf(c_60316,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk8,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60280,c_6483]) ).
tcf(c_60321,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk8,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60279,c_6483]) ).
tcf(c_60326,plain,
( ( app(sk7,sk8) = nil )
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60276,c_6483]) ).
tcf(c_60330,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk8,sk7)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ frontsegP(app(sk7,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60283,c_6483]) ).
tcf(c_60335,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk8,sk7)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk8))
| ~ memberP(app(sk7,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60282,c_6483]) ).
tcf(c_60340,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk8,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60284,c_6483]) ).
tcf(c_60346,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk7,sk8),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk8))
| ~ memberP(app(sk7,app(sk8,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60274,c_6483]) ).
tcf(c_60352,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ( app(app(sk7,sk8),X0) != app(sk7,app(sk8,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60281,c_6483]) ).
tcf(c_60357,plain,
! [X0: $i] :
( ( app(sk7,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60272,c_6483]) ).
tcf(c_60362,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk8,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(app(sk7,app(sk8,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_60271,c_59494]) ).
tcf(c_60363,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk8,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(app(sk7,app(sk8,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60362,c_6483]) ).
tcf(c_60427,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk8,sk7)),sk8),X0) = app(app(sk7,app(sk8,sk7)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_16217]) ).
tcf(c_60428,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk8,sk7)),sk7),X0) = app(app(sk7,app(sk8,sk7)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_16216]) ).
tcf(c_60429,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk8,sk7)),sk4),X0) = app(app(sk7,app(sk8,sk7)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_16215]) ).
tcf(c_60430,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk7,app(sk8,sk7)))) = app(cons(X1,X0),app(sk7,app(sk8,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_404]) ).
tcf(c_60431,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk7,app(sk8,sk7))),X0) = app(X1,app(app(sk7,app(sk8,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_396]) ).
tcf(c_60432,plain,
! [X0: $i] :
( ( app(sk7,app(sk8,sk7)) = nil )
| ( app(tl(app(sk7,app(sk8,sk7))),X0) = tl(app(app(sk7,app(sk8,sk7)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_380]) ).
tcf(c_60433,plain,
! [X0: $i] :
( ( app(sk7,app(sk8,sk7)) = nil )
| ( hd(app(app(sk7,app(sk8,sk7)),X0)) = hd(app(sk7,app(sk8,sk7))) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_370]) ).
tcf(c_60434,plain,
( ( app(app(sk7,sk8),app(sk7,app(sk8,sk7))) = app(sk7,app(sk8,app(sk7,app(sk8,sk7)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_56348]) ).
tcf(c_60435,plain,
( ( app(app(sk4,sk8),app(sk7,app(sk8,sk7))) = app(sk4,app(sk8,app(sk7,app(sk8,sk7)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_56347]) ).
tcf(c_60436,plain,
( ( app(app(sk8,sk7),app(sk7,app(sk8,sk7))) = app(sk8,app(sk7,app(sk7,app(sk8,sk7)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_45540]) ).
tcf(c_60437,plain,
( ( app(app(sk7,sk7),app(sk7,app(sk8,sk7))) = app(sk7,app(sk7,app(sk7,app(sk8,sk7)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_45539]) ).
tcf(c_60438,plain,
( ( app(app(sk4,sk7),app(sk7,app(sk8,sk7))) = app(sk4,app(sk7,app(sk7,app(sk8,sk7)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_45538]) ).
tcf(c_60439,plain,
( ( app(app(sk8,sk4),app(sk7,app(sk8,sk7))) = app(sk8,app(sk4,app(sk7,app(sk8,sk7)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_37633]) ).
tcf(c_60440,plain,
( ( app(app(sk7,sk4),app(sk7,app(sk8,sk7))) = app(sk7,app(sk4,app(sk7,app(sk8,sk7)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_37632]) ).
tcf(c_60441,plain,
( ( app(app(sk4,sk4),app(sk7,app(sk8,sk7))) = app(sk4,app(sk4,app(sk7,app(sk8,sk7)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_37631]) ).
tcf(c_60442,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk7,app(sk8,sk7))) = tl(app(sk8,app(sk7,app(sk8,sk7)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_14611]) ).
tcf(c_60443,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk7,app(sk8,sk7))) = tl(app(sk7,app(sk7,app(sk8,sk7)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_14610]) ).
tcf(c_60444,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk7,app(sk8,sk7))) = tl(app(sk4,app(sk7,app(sk8,sk7)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_14609]) ).
tcf(c_60445,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk7,app(sk8,sk7)))) = hd(sk8) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_11903]) ).
tcf(c_60446,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk7,app(sk8,sk7)))) = hd(sk7) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_11902]) ).
tcf(c_60447,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk7,app(sk8,sk7)))) = hd(sk4) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_11901]) ).
tcf(c_60448,plain,
( cyclefreeP(app(sk7,app(sk8,sk7)))
| ( app(app(skaf51(app(sk7,app(sk8,sk7))),cons(skaf49(app(sk7,app(sk8,sk7))),skaf52(app(sk7,app(sk8,sk7))))),cons(skaf50(app(sk7,app(sk8,sk7))),skaf53(app(sk7,app(sk8,sk7))))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_414]) ).
tcf(c_60449,plain,
( totalorderP(app(sk7,app(sk8,sk7)))
| ( app(app(skaf56(app(sk7,app(sk8,sk7))),cons(skaf54(app(sk7,app(sk8,sk7))),skaf57(app(sk7,app(sk8,sk7))))),cons(skaf55(app(sk7,app(sk8,sk7))),skaf58(app(sk7,app(sk8,sk7))))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_413]) ).
tcf(c_60450,plain,
( strictorderP(app(sk7,app(sk8,sk7)))
| ( app(app(skaf61(app(sk7,app(sk8,sk7))),cons(skaf59(app(sk7,app(sk8,sk7))),skaf62(app(sk7,app(sk8,sk7))))),cons(skaf60(app(sk7,app(sk8,sk7))),skaf63(app(sk7,app(sk8,sk7))))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_412]) ).
tcf(c_60451,plain,
( totalorderedP(app(sk7,app(sk8,sk7)))
| ( app(app(skaf66(app(sk7,app(sk8,sk7))),cons(skaf64(app(sk7,app(sk8,sk7))),skaf67(app(sk7,app(sk8,sk7))))),cons(skaf65(app(sk7,app(sk8,sk7))),skaf68(app(sk7,app(sk8,sk7))))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_411]) ).
tcf(c_60452,plain,
( strictorderedP(app(sk7,app(sk8,sk7)))
| ( app(app(skaf71(app(sk7,app(sk8,sk7))),cons(skaf69(app(sk7,app(sk8,sk7))),skaf72(app(sk7,app(sk8,sk7))))),cons(skaf70(app(sk7,app(sk8,sk7))),skaf73(app(sk7,app(sk8,sk7))))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_410]) ).
tcf(c_60453,plain,
( duplicatefreeP(app(sk7,app(sk8,sk7)))
| ( app(app(skaf75(app(sk7,app(sk8,sk7))),cons(skaf74(app(sk7,app(sk8,sk7))),skaf76(app(sk7,app(sk8,sk7))))),cons(skaf74(app(sk7,app(sk8,sk7))),skaf77(app(sk7,app(sk8,sk7))))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_409]) ).
tcf(c_60454,plain,
( equalelemsP(app(sk7,app(sk8,sk7)))
| ( app(skaf80(app(sk7,app(sk8,sk7))),cons(skaf78(app(sk7,app(sk8,sk7))),cons(skaf79(app(sk7,app(sk8,sk7))),skaf81(app(sk7,app(sk8,sk7)))))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_389]) ).
tcf(c_60455,plain,
( ( hd(cons(sk6,app(sk7,app(sk8,sk7)))) = sk6 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_10017]) ).
tcf(c_60456,plain,
( ( app(sk7,app(sk8,sk7)) = nil )
| ( cons(skaf83(app(sk7,app(sk8,sk7))),skaf82(app(sk7,app(sk8,sk7)))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_356]) ).
tcf(c_60457,plain,
( ( app(sk7,app(sk8,sk7)) = nil )
| ( cons(hd(app(sk7,app(sk8,sk7))),tl(app(sk7,app(sk8,sk7)))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_351]) ).
tcf(c_60458,plain,
( ( hd(cons(sk5,app(sk7,app(sk8,sk7)))) = sk5 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_10016]) ).
tcf(c_60459,plain,
( ( tl(cons(sk6,app(sk7,app(sk8,sk7)))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_9887]) ).
tcf(c_60460,plain,
( ( tl(cons(sk5,app(sk7,app(sk8,sk7)))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_9886]) ).
tcf(c_60461,plain,
( duplicatefreeP(app(sk7,app(sk8,sk7)))
| ~ iPr_def_11
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_6471]) ).
tcf(c_60462,plain,
( ( app(nil,app(sk7,app(sk8,sk7))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_321]) ).
tcf(c_60463,plain,
( ( app(app(sk7,app(sk8,sk7)),nil) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_320]) ).
tcf(c_60678,plain,
( ssList(app(sk7,app(sk8,sk8)))
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59495,c_332]) ).
tcf(c_60679,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk8,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(app(app(sk7,sk8),sk8),X0)) ),
inference(superposition,[status(thm)],[c_59495,c_420]) ).
tcf(c_60680,plain,
! [X0: $i] :
( ( app(sk7,sk8) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk8)) != app(X0,sk8) ) ),
inference(superposition,[status(thm)],[c_59495,c_398]) ).
tcf(c_60682,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk7,sk8),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk8))
| ~ memberP(app(sk7,app(sk8,sk8)),X0) ),
inference(superposition,[status(thm)],[c_59495,c_405]) ).
tcf(c_60683,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_59495,c_366]) ).
tcf(c_60684,plain,
( ( app(sk7,sk8) = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_59495,c_365]) ).
tcf(c_60685,plain,
( frontsegP(app(sk7,app(sk8,sk8)),app(sk7,sk8))
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59495,c_808]) ).
tcf(c_60686,plain,
( rearsegP(app(sk7,app(sk8,sk8)),sk8)
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59495,c_807]) ).
tcf(c_60687,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk8,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59495,c_388]) ).
tcf(c_60688,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk8,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59495,c_383]) ).
tcf(c_60689,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ( app(app(sk7,sk8),X0) != app(sk7,app(sk8,sk8)) ) ),
inference(superposition,[status(thm)],[c_59495,c_397]) ).
tcf(c_60690,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk8,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk8))
| ~ memberP(app(sk7,sk8),X0) ),
inference(superposition,[status(thm)],[c_59495,c_387]) ).
tcf(c_60691,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk8,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ frontsegP(app(sk7,sk8),X0) ),
inference(superposition,[status(thm)],[c_59495,c_384]) ).
tcf(c_60692,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk8,sk8)),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59495,c_419]) ).
tcf(c_60693,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk8,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(superposition,[status(thm)],[c_59495,c_419]) ).
tcf(c_60694,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk8)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(app(app(sk7,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_59495,c_420]) ).
tcf(c_60695,plain,
( ( app(sk7,sk8) = iPr_def_14 )
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk8)) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_59495,c_51820]) ).
tcf(c_60696,plain,
( ( app(sk7,sk8) = nil )
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk8)) != sk8 ) ),
inference(superposition,[status(thm)],[c_59495,c_17621]) ).
tcf(c_60697,plain,
( ssList(app(sk7,app(sk8,sk8)))
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60678,c_6482]) ).
tcf(c_60700,plain,
( rearsegP(app(sk7,app(sk8,sk8)),sk8)
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60686,c_6482]) ).
tcf(c_60703,plain,
( frontsegP(app(sk7,app(sk8,sk8)),app(sk7,sk8))
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60685,c_6482]) ).
tcf(c_60709,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk8)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk8,sk8))) ),
inference(light_normalisation,[status(thm)],[c_60694,c_59495]) ).
tcf(c_60710,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk8)
| ~ ssList(app(sk7,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60709,c_6482,c_6483]) ).
tcf(c_60713,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk8,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60693,c_6482,c_6483]) ).
tcf(c_60717,plain,
( ( sk8 = nil )
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60683,c_6482]) ).
tcf(c_60724,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk8,sk8)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60688,c_6482]) ).
tcf(c_60729,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk8,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60687,c_6482]) ).
tcf(c_60734,plain,
( ( app(sk7,sk8) = nil )
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60684,c_6482]) ).
tcf(c_60738,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk8,sk8)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ frontsegP(app(sk7,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60691,c_6482]) ).
tcf(c_60743,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk8,sk8)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk8))
| ~ memberP(app(sk7,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60690,c_6482]) ).
tcf(c_60748,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk8,sk8)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk7,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60692,c_6482]) ).
tcf(c_60754,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk7,sk8),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk8))
| ~ memberP(app(sk7,app(sk8,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60682,c_6482]) ).
tcf(c_60760,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ( app(app(sk7,sk8),X0) != app(sk7,app(sk8,sk8)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60689,c_6482]) ).
tcf(c_60765,plain,
! [X0: $i] :
( ( app(sk7,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk8)) != app(X0,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60680,c_6482]) ).
tcf(c_60770,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk8,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(app(sk7,app(sk8,sk8)),X0)) ),
inference(light_normalisation,[status(thm)],[c_60679,c_59495]) ).
tcf(c_60771,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk8,sk8)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(app(sk7,app(sk8,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60770,c_6482]) ).
tcf(c_60867,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk6,skaf47(X0,X1)) = nil )
| ( cons(sk6,skaf47(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk6,skaf47(X0,X1)))
| ( skaf47(X0,X1) != tl(X2) )
| ( hd(cons(sk6,skaf47(X0,X1))) != hd(X2) ) ),
inference(superposition,[status(thm)],[c_10334,c_424]) ).
tcf(c_60870,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk6,skaf47(X0,X1)) = nil )
| ( cons(sk6,skaf47(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk6,skaf47(X0,X1)))
| ( hd(X2) != sk6 )
| ( skaf47(X0,X1) != tl(X2) ) ),
inference(light_normalisation,[status(thm)],[c_60867,c_11247]) ).
tcf(c_60878,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(sk6,skaf47(X0,X1))))
| ( cons(sk6,skaf47(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk6)
| ~ strictorderedP(cons(sk6,skaf47(X0,X1)))
| ~ ssList(cons(sk6,skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_11247,c_407]) ).
tcf(c_60879,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(sk6,skaf47(X0,X1))))
| ( cons(sk6,skaf47(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk6)
| ~ totalorderedP(cons(sk6,skaf47(X0,X1)))
| ~ ssList(cons(sk6,skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_11247,c_406]) ).
tcf(c_60909,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(sk6,skaf46(X0,X1))))
| ( cons(sk6,skaf46(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk6)
| ~ strictorderedP(cons(sk6,skaf46(X0,X1)))
| ~ ssList(cons(sk6,skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_11248,c_407]) ).
tcf(c_60910,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(sk6,skaf46(X0,X1))))
| ( cons(sk6,skaf46(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk6)
| ~ totalorderedP(cons(sk6,skaf46(X0,X1)))
| ~ ssList(cons(sk6,skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_11248,c_406]) ).
tcf(c_60939,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(sk6,skaf45(X0,X1))))
| ( cons(sk6,skaf45(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk6)
| ~ strictorderedP(cons(sk6,skaf45(X0,X1)))
| ~ ssList(cons(sk6,skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_11249,c_407]) ).
tcf(c_60940,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(sk6,skaf45(X0,X1))))
| ( cons(sk6,skaf45(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk6)
| ~ totalorderedP(cons(sk6,skaf45(X0,X1)))
| ~ ssList(cons(sk6,skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_11249,c_406]) ).
tcf(c_60956,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(sk6,skaf43(X0,X1))))
| ( cons(sk6,skaf43(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk6)
| ~ strictorderedP(cons(sk6,skaf43(X0,X1)))
| ~ ssList(cons(sk6,skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_11250,c_407]) ).
tcf(c_60957,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(sk6,skaf43(X0,X1))))
| ( cons(sk6,skaf43(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk6)
| ~ totalorderedP(cons(sk6,skaf43(X0,X1)))
| ~ ssList(cons(sk6,skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_11250,c_406]) ).
tcf(c_60973,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(sk6,skaf42(X0,X1))))
| ( cons(sk6,skaf42(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk6)
| ~ strictorderedP(cons(sk6,skaf42(X0,X1)))
| ~ ssList(cons(sk6,skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_11251,c_407]) ).
tcf(c_60974,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(sk6,skaf42(X0,X1))))
| ( cons(sk6,skaf42(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk6)
| ~ totalorderedP(cons(sk6,skaf42(X0,X1)))
| ~ ssList(cons(sk6,skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_11251,c_406]) ).
tcf(c_60997,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk8,sk8)),sk8),X0) = app(app(sk7,app(sk8,sk8)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_16217]) ).
tcf(c_60998,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk8,sk8)),sk7),X0) = app(app(sk7,app(sk8,sk8)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_16216]) ).
tcf(c_60999,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk8,sk8)),sk4),X0) = app(app(sk7,app(sk8,sk8)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_16215]) ).
tcf(c_61000,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk7,app(sk8,sk8)))) = app(cons(X1,X0),app(sk7,app(sk8,sk8))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_404]) ).
tcf(c_61001,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk7,app(sk8,sk8))),X0) = app(X1,app(app(sk7,app(sk8,sk8)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_396]) ).
tcf(c_61002,plain,
! [X0: $i] :
( ( app(sk7,app(sk8,sk8)) = nil )
| ( app(tl(app(sk7,app(sk8,sk8))),X0) = tl(app(app(sk7,app(sk8,sk8)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_380]) ).
tcf(c_61003,plain,
! [X0: $i] :
( ( app(sk7,app(sk8,sk8)) = nil )
| ( hd(app(app(sk7,app(sk8,sk8)),X0)) = hd(app(sk7,app(sk8,sk8))) )
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_370]) ).
tcf(c_61004,plain,
( ( app(app(sk7,sk8),app(sk7,app(sk8,sk8))) = app(sk7,app(sk8,app(sk7,app(sk8,sk8)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_56348]) ).
tcf(c_61005,plain,
( ( app(app(sk4,sk8),app(sk7,app(sk8,sk8))) = app(sk4,app(sk8,app(sk7,app(sk8,sk8)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_56347]) ).
tcf(c_61006,plain,
( ( app(app(sk8,sk7),app(sk7,app(sk8,sk8))) = app(sk8,app(sk7,app(sk7,app(sk8,sk8)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_45540]) ).
tcf(c_61007,plain,
( ( app(app(sk7,sk7),app(sk7,app(sk8,sk8))) = app(sk7,app(sk7,app(sk7,app(sk8,sk8)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_45539]) ).
tcf(c_61008,plain,
( ( app(app(sk4,sk7),app(sk7,app(sk8,sk8))) = app(sk4,app(sk7,app(sk7,app(sk8,sk8)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_45538]) ).
tcf(c_61009,plain,
( ( app(app(sk8,sk4),app(sk7,app(sk8,sk8))) = app(sk8,app(sk4,app(sk7,app(sk8,sk8)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_37633]) ).
tcf(c_61010,plain,
( ( app(app(sk7,sk4),app(sk7,app(sk8,sk8))) = app(sk7,app(sk4,app(sk7,app(sk8,sk8)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_37632]) ).
tcf(c_61011,plain,
( ( app(app(sk4,sk4),app(sk7,app(sk8,sk8))) = app(sk4,app(sk4,app(sk7,app(sk8,sk8)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_37631]) ).
tcf(c_61012,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk7,app(sk8,sk8))) = tl(app(sk8,app(sk7,app(sk8,sk8)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_14611]) ).
tcf(c_61013,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk7,app(sk8,sk8))) = tl(app(sk7,app(sk7,app(sk8,sk8)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_14610]) ).
tcf(c_61014,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk7,app(sk8,sk8))) = tl(app(sk4,app(sk7,app(sk8,sk8)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_14609]) ).
tcf(c_61015,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk7,app(sk8,sk8)))) = hd(sk8) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_11903]) ).
tcf(c_61016,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk7,app(sk8,sk8)))) = hd(sk7) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_11902]) ).
tcf(c_61017,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk7,app(sk8,sk8)))) = hd(sk4) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_11901]) ).
tcf(c_61018,plain,
( cyclefreeP(app(sk7,app(sk8,sk8)))
| ( app(app(skaf51(app(sk7,app(sk8,sk8))),cons(skaf49(app(sk7,app(sk8,sk8))),skaf52(app(sk7,app(sk8,sk8))))),cons(skaf50(app(sk7,app(sk8,sk8))),skaf53(app(sk7,app(sk8,sk8))))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_414]) ).
tcf(c_61019,plain,
( totalorderP(app(sk7,app(sk8,sk8)))
| ( app(app(skaf56(app(sk7,app(sk8,sk8))),cons(skaf54(app(sk7,app(sk8,sk8))),skaf57(app(sk7,app(sk8,sk8))))),cons(skaf55(app(sk7,app(sk8,sk8))),skaf58(app(sk7,app(sk8,sk8))))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_413]) ).
tcf(c_61020,plain,
( strictorderP(app(sk7,app(sk8,sk8)))
| ( app(app(skaf61(app(sk7,app(sk8,sk8))),cons(skaf59(app(sk7,app(sk8,sk8))),skaf62(app(sk7,app(sk8,sk8))))),cons(skaf60(app(sk7,app(sk8,sk8))),skaf63(app(sk7,app(sk8,sk8))))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_412]) ).
tcf(c_61021,plain,
( totalorderedP(app(sk7,app(sk8,sk8)))
| ( app(app(skaf66(app(sk7,app(sk8,sk8))),cons(skaf64(app(sk7,app(sk8,sk8))),skaf67(app(sk7,app(sk8,sk8))))),cons(skaf65(app(sk7,app(sk8,sk8))),skaf68(app(sk7,app(sk8,sk8))))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_411]) ).
tcf(c_61022,plain,
( strictorderedP(app(sk7,app(sk8,sk8)))
| ( app(app(skaf71(app(sk7,app(sk8,sk8))),cons(skaf69(app(sk7,app(sk8,sk8))),skaf72(app(sk7,app(sk8,sk8))))),cons(skaf70(app(sk7,app(sk8,sk8))),skaf73(app(sk7,app(sk8,sk8))))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_410]) ).
tcf(c_61023,plain,
( duplicatefreeP(app(sk7,app(sk8,sk8)))
| ( app(app(skaf75(app(sk7,app(sk8,sk8))),cons(skaf74(app(sk7,app(sk8,sk8))),skaf76(app(sk7,app(sk8,sk8))))),cons(skaf74(app(sk7,app(sk8,sk8))),skaf77(app(sk7,app(sk8,sk8))))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_409]) ).
tcf(c_61024,plain,
( equalelemsP(app(sk7,app(sk8,sk8)))
| ( app(skaf80(app(sk7,app(sk8,sk8))),cons(skaf78(app(sk7,app(sk8,sk8))),cons(skaf79(app(sk7,app(sk8,sk8))),skaf81(app(sk7,app(sk8,sk8)))))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_389]) ).
tcf(c_61025,plain,
( ( hd(cons(sk6,app(sk7,app(sk8,sk8)))) = sk6 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_10017]) ).
tcf(c_61026,plain,
( ( app(sk7,app(sk8,sk8)) = nil )
| ( cons(skaf83(app(sk7,app(sk8,sk8))),skaf82(app(sk7,app(sk8,sk8)))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_356]) ).
tcf(c_61027,plain,
( ( app(sk7,app(sk8,sk8)) = nil )
| ( cons(hd(app(sk7,app(sk8,sk8))),tl(app(sk7,app(sk8,sk8)))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_351]) ).
tcf(c_61028,plain,
( ( hd(cons(sk5,app(sk7,app(sk8,sk8)))) = sk5 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_10016]) ).
tcf(c_61029,plain,
( ( tl(cons(sk6,app(sk7,app(sk8,sk8)))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_9887]) ).
tcf(c_61030,plain,
( ( tl(cons(sk5,app(sk7,app(sk8,sk8)))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_9886]) ).
tcf(c_61031,plain,
( duplicatefreeP(app(sk7,app(sk8,sk8)))
| ~ iPr_def_11
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_6471]) ).
tcf(c_61032,plain,
( ( app(nil,app(sk7,app(sk8,sk8))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_321]) ).
tcf(c_61033,plain,
( ( app(app(sk7,app(sk8,sk8)),nil) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_320]) ).
tcf(c_61366,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ rearsegP(X0,app(sk7,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_59807,c_400]) ).
tcf(c_61367,plain,
( ( app(skaf46(app(sk7,app(sk8,sk4)),sk4),sk4) = app(sk7,app(sk8,sk4)) )
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_59807,c_378]) ).
tcf(c_61368,plain,
( ( app(sk7,app(sk8,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_59807,c_375]) ).
tcf(c_61369,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ rearsegP(X0,app(sk7,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61366,c_6486]) ).
tcf(c_61375,plain,
( ( app(sk7,app(sk8,sk4)) = sk4 )
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61368,c_6486]) ).
tcf(c_61380,plain,
( ( app(skaf46(app(sk7,app(sk8,sk4)),sk4),sk4) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61367,c_6486]) ).
tcf(c_61389,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ rearsegP(X0,app(sk7,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_60292,c_400]) ).
tcf(c_61390,plain,
( ( app(skaf46(app(sk7,app(sk8,sk7)),sk7),sk7) = app(sk7,app(sk8,sk7)) )
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_60292,c_378]) ).
tcf(c_61391,plain,
( ( app(sk7,app(sk8,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_60292,c_375]) ).
tcf(c_61392,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ rearsegP(X0,app(sk7,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61389,c_6483]) ).
tcf(c_61398,plain,
( ( app(sk7,app(sk8,sk7)) = sk7 )
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61391,c_6483]) ).
tcf(c_61403,plain,
( ( app(skaf46(app(sk7,app(sk8,sk7)),sk7),sk7) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61390,c_6483]) ).
tcf(c_61412,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ rearsegP(X0,app(sk7,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_60700,c_400]) ).
tcf(c_61413,plain,
( ( app(skaf46(app(sk7,app(sk8,sk8)),sk8),sk8) = app(sk7,app(sk8,sk8)) )
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_60700,c_378]) ).
tcf(c_61414,plain,
( ( app(sk7,app(sk8,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ rearsegP(sk8,app(sk7,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_60700,c_375]) ).
tcf(c_61415,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ rearsegP(X0,app(sk7,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61412,c_6482]) ).
tcf(c_61421,plain,
( ( app(sk7,app(sk8,sk8)) = sk8 )
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ rearsegP(sk8,app(sk7,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61414,c_6482]) ).
tcf(c_61426,plain,
( ( app(skaf46(app(sk7,app(sk8,sk8)),sk8),sk8) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61413,c_6482]) ).
tcf(c_61435,plain,
! [X0: $i] :
( frontsegP(X0,app(sk7,sk8))
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ frontsegP(X0,app(sk7,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_59810,c_401]) ).
tcf(c_61436,plain,
( ( app(app(sk7,sk8),skaf45(app(sk7,app(sk8,sk4)),app(sk7,sk8))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_59810,c_379]) ).
tcf(c_61437,plain,
( ( app(sk7,app(sk8,sk4)) = app(sk7,sk8) )
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ frontsegP(app(sk7,sk8),app(sk7,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_59810,c_376]) ).
tcf(c_61526,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(X0,app(sk7,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_59834,c_399]) ).
tcf(c_61527,plain,
( ( app(app(skaf47(app(sk7,app(sk8,sk4)),sk8),sk8),skaf48(sk8,app(sk7,app(sk8,sk4)))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(sk8)
| ~ ssList(app(sk7,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_59834,c_415]) ).
tcf(c_61528,plain,
( ( app(sk7,app(sk8,sk4)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_59834,c_374]) ).
tcf(c_61529,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(X0,app(sk7,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61526,c_6482]) ).
tcf(c_61534,plain,
( ( app(sk7,app(sk8,sk4)) = sk8 )
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61528,c_6482]) ).
tcf(c_61538,plain,
( ( app(app(skaf47(app(sk7,app(sk8,sk4)),sk8),sk8),skaf48(sk8,app(sk7,app(sk8,sk4)))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61527,c_6482]) ).
tcf(c_61548,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X1)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(X0,app(sk7,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_59837,c_399]) ).
tcf(c_61549,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk7,app(sk8,sk4)),X0),X0),skaf48(X0,app(sk7,app(sk8,sk4)))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk7,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_59837,c_415]) ).
tcf(c_61550,plain,
! [X0: $i] :
( ( app(sk7,app(sk8,sk4)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(X0,app(sk7,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_59837,c_374]) ).
tcf(c_61551,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk7,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_59837,c_27069]) ).
tcf(c_61554,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk7,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_59837,c_27109]) ).
tcf(c_61555,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk7)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk7,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61554,c_24748]) ).
tcf(c_61559,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk7)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk7,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61551,c_9527]) ).
tcf(c_61626,plain,
! [X0: $i] :
( frontsegP(X0,app(sk7,sk8))
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ frontsegP(X0,app(sk7,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_60295,c_401]) ).
tcf(c_61627,plain,
( ( app(app(sk7,sk8),skaf45(app(sk7,app(sk8,sk7)),app(sk7,sk8))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_60295,c_379]) ).
tcf(c_61628,plain,
( ( app(sk7,app(sk8,sk7)) = app(sk7,sk8) )
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ frontsegP(app(sk7,sk8),app(sk7,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_60295,c_376]) ).
tcf(c_61656,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk6,skaf46(X0,X1)) = nil )
| ( cons(sk6,skaf46(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk6,skaf46(X0,X1)))
| ( skaf46(X0,X1) != tl(X2) )
| ( hd(cons(sk6,skaf46(X0,X1))) != hd(X2) ) ),
inference(superposition,[status(thm)],[c_10335,c_424]) ).
tcf(c_61659,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk6,skaf46(X0,X1)) = nil )
| ( cons(sk6,skaf46(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk6,skaf46(X0,X1)))
| ( hd(X2) != sk6 )
| ( skaf46(X0,X1) != tl(X2) ) ),
inference(light_normalisation,[status(thm)],[c_61656,c_11248]) ).
tcf(c_61678,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(X0,app(sk7,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_60302,c_399]) ).
tcf(c_61679,plain,
( ( app(app(skaf47(app(sk7,app(sk8,sk7)),sk8),sk8),skaf48(sk8,app(sk7,app(sk8,sk7)))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(sk8)
| ~ ssList(app(sk7,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_60302,c_415]) ).
tcf(c_61680,plain,
( ( app(sk7,app(sk8,sk7)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_60302,c_374]) ).
tcf(c_61681,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(X0,app(sk7,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61678,c_6482]) ).
tcf(c_61686,plain,
( ( app(sk7,app(sk8,sk7)) = sk8 )
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61680,c_6482]) ).
tcf(c_61690,plain,
( ( app(app(skaf47(app(sk7,app(sk8,sk7)),sk8),sk8),skaf48(sk8,app(sk7,app(sk8,sk7)))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61679,c_6482]) ).
tcf(c_61700,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X1)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(X0,app(sk7,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_60305,c_399]) ).
tcf(c_61701,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk7,app(sk8,sk7)),X0),X0),skaf48(X0,app(sk7,app(sk8,sk7)))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk7,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_60305,c_415]) ).
tcf(c_61702,plain,
! [X0: $i] :
( ( app(sk7,app(sk8,sk7)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(X0,app(sk7,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_60305,c_374]) ).
tcf(c_61703,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk7,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_60305,c_27069]) ).
tcf(c_61706,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk7,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_60305,c_27109]) ).
tcf(c_61707,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk7)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk7,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61706,c_24748]) ).
tcf(c_61711,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk7)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk7,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61703,c_9527]) ).
tcf(c_61736,plain,
! [X0: $i] :
( frontsegP(X0,app(sk7,sk8))
| ~ ssList(X0)
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ frontsegP(X0,app(sk7,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_60703,c_401]) ).
tcf(c_61737,plain,
( ( app(app(sk7,sk8),skaf45(app(sk7,app(sk8,sk8)),app(sk7,sk8))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_60703,c_379]) ).
tcf(c_61738,plain,
( ( app(sk7,app(sk8,sk8)) = app(sk7,sk8) )
| ~ ssList(app(sk7,sk8))
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ frontsegP(app(sk7,sk8),app(sk7,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_60703,c_376]) ).
tcf(c_61756,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(X0,app(sk7,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_60710,c_399]) ).
tcf(c_61757,plain,
( ( app(app(skaf47(app(sk7,app(sk8,sk8)),sk8),sk8),skaf48(sk8,app(sk7,app(sk8,sk8)))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(sk8)
| ~ ssList(app(sk7,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_60710,c_415]) ).
tcf(c_61758,plain,
( ( app(sk7,app(sk8,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_60710,c_374]) ).
tcf(c_61759,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(X0,app(sk7,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61756,c_6482]) ).
tcf(c_61764,plain,
( ( app(sk7,app(sk8,sk8)) = sk8 )
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61758,c_6482]) ).
tcf(c_61768,plain,
( ( app(app(skaf47(app(sk7,app(sk8,sk8)),sk8),sk8),skaf48(sk8,app(sk7,app(sk8,sk8)))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61757,c_6482]) ).
tcf(c_61778,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X1)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(X0,app(sk7,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_60713,c_399]) ).
tcf(c_61779,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk7,app(sk8,sk8)),X0),X0),skaf48(X0,app(sk7,app(sk8,sk8)))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk7,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_60713,c_415]) ).
tcf(c_61780,plain,
! [X0: $i] :
( ( app(sk7,app(sk8,sk8)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(X0,app(sk7,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_60713,c_374]) ).
tcf(c_61781,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk7,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_60713,c_27069]) ).
tcf(c_61784,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk7,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_60713,c_27109]) ).
tcf(c_61785,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk7)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk7,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61784,c_24748]) ).
tcf(c_61789,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk7)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk7,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61781,c_9527]) ).
tcf(c_61814,plain,
app(app(sk8,sk8),sk4) = app(sk8,app(sk8,sk4)),
inference(superposition,[status(thm)],[c_6486,c_56349]) ).
tcf(c_61815,plain,
app(app(sk8,sk8),sk7) = app(sk8,app(sk8,sk7)),
inference(superposition,[status(thm)],[c_6483,c_56349]) ).
tcf(c_61816,plain,
app(app(sk8,sk8),sk8) = app(sk8,app(sk8,sk8)),
inference(superposition,[status(thm)],[c_6482,c_56349]) ).
tcf(c_61817,plain,
app(app(sk8,sk8),nil) = app(sk8,app(sk8,nil)),
inference(superposition,[status(thm)],[c_255,c_56349]) ).
tcf(c_61818,plain,
! [X0: $i] : app(app(sk8,sk8),skaf82(X0)) = app(sk8,app(sk8,skaf82(X0))),
inference(superposition,[status(thm)],[c_260,c_56349]) ).
tcf(c_61819,plain,
! [X0: $i] : app(app(sk8,sk8),skaf81(X0)) = app(sk8,app(sk8,skaf81(X0))),
inference(superposition,[status(thm)],[c_261,c_56349]) ).
tcf(c_61820,plain,
! [X0: $i] : app(app(sk8,sk8),skaf80(X0)) = app(sk8,app(sk8,skaf80(X0))),
inference(superposition,[status(thm)],[c_262,c_56349]) ).
tcf(c_61821,plain,
! [X0: $i] : app(app(sk8,sk8),skaf77(X0)) = app(sk8,app(sk8,skaf77(X0))),
inference(superposition,[status(thm)],[c_265,c_56349]) ).
tcf(c_61822,plain,
! [X0: $i] : app(app(sk8,sk8),skaf76(X0)) = app(sk8,app(sk8,skaf76(X0))),
inference(superposition,[status(thm)],[c_266,c_56349]) ).
tcf(c_61823,plain,
! [X0: $i] : app(app(sk8,sk8),skaf75(X0)) = app(sk8,app(sk8,skaf75(X0))),
inference(superposition,[status(thm)],[c_267,c_56349]) ).
tcf(c_61824,plain,
! [X0: $i] : app(app(sk8,sk8),skaf73(X0)) = app(sk8,app(sk8,skaf73(X0))),
inference(superposition,[status(thm)],[c_269,c_56349]) ).
tcf(c_61825,plain,
! [X0: $i] : app(app(sk8,sk8),skaf72(X0)) = app(sk8,app(sk8,skaf72(X0))),
inference(superposition,[status(thm)],[c_270,c_56349]) ).
tcf(c_61826,plain,
! [X0: $i] : app(app(sk8,sk8),skaf71(X0)) = app(sk8,app(sk8,skaf71(X0))),
inference(superposition,[status(thm)],[c_271,c_56349]) ).
tcf(c_61827,plain,
! [X0: $i] : app(app(sk8,sk8),skaf68(X0)) = app(sk8,app(sk8,skaf68(X0))),
inference(superposition,[status(thm)],[c_274,c_56349]) ).
tcf(c_61828,plain,
! [X0: $i] : app(app(sk8,sk8),skaf67(X0)) = app(sk8,app(sk8,skaf67(X0))),
inference(superposition,[status(thm)],[c_275,c_56349]) ).
tcf(c_61829,plain,
! [X0: $i] : app(app(sk8,sk8),skaf66(X0)) = app(sk8,app(sk8,skaf66(X0))),
inference(superposition,[status(thm)],[c_276,c_56349]) ).
tcf(c_61830,plain,
! [X0: $i] : app(app(sk8,sk8),skaf63(X0)) = app(sk8,app(sk8,skaf63(X0))),
inference(superposition,[status(thm)],[c_279,c_56349]) ).
tcf(c_61831,plain,
! [X0: $i] : app(app(sk8,sk8),skaf62(X0)) = app(sk8,app(sk8,skaf62(X0))),
inference(superposition,[status(thm)],[c_280,c_56349]) ).
tcf(c_61832,plain,
! [X0: $i] : app(app(sk8,sk8),skaf61(X0)) = app(sk8,app(sk8,skaf61(X0))),
inference(superposition,[status(thm)],[c_281,c_56349]) ).
tcf(c_61833,plain,
! [X0: $i] : app(app(sk8,sk8),skaf58(X0)) = app(sk8,app(sk8,skaf58(X0))),
inference(superposition,[status(thm)],[c_284,c_56349]) ).
tcf(c_61834,plain,
! [X0: $i] : app(app(sk8,sk8),skaf57(X0)) = app(sk8,app(sk8,skaf57(X0))),
inference(superposition,[status(thm)],[c_285,c_56349]) ).
tcf(c_61835,plain,
! [X0: $i] : app(app(sk8,sk8),skaf56(X0)) = app(sk8,app(sk8,skaf56(X0))),
inference(superposition,[status(thm)],[c_286,c_56349]) ).
tcf(c_61836,plain,
! [X0: $i] : app(app(sk8,sk8),skaf53(X0)) = app(sk8,app(sk8,skaf53(X0))),
inference(superposition,[status(thm)],[c_289,c_56349]) ).
tcf(c_61837,plain,
! [X0: $i] : app(app(sk8,sk8),skaf52(X0)) = app(sk8,app(sk8,skaf52(X0))),
inference(superposition,[status(thm)],[c_290,c_56349]) ).
tcf(c_61838,plain,
! [X0: $i] : app(app(sk8,sk8),skaf51(X0)) = app(sk8,app(sk8,skaf51(X0))),
inference(superposition,[status(thm)],[c_291,c_56349]) ).
tcf(c_61839,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk8),skaf48(X0,X1)) = app(sk8,app(sk8,skaf48(X0,X1))),
inference(superposition,[status(thm)],[c_295,c_56349]) ).
tcf(c_61840,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk8),skaf47(X0,X1)) = app(sk8,app(sk8,skaf47(X0,X1))),
inference(superposition,[status(thm)],[c_296,c_56349]) ).
tcf(c_61841,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk8),skaf46(X0,X1)) = app(sk8,app(sk8,skaf46(X0,X1))),
inference(superposition,[status(thm)],[c_297,c_56349]) ).
tcf(c_61842,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk8),skaf45(X0,X1)) = app(sk8,app(sk8,skaf45(X0,X1))),
inference(superposition,[status(thm)],[c_298,c_56349]) ).
tcf(c_61843,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk8),skaf43(X0,X1)) = app(sk8,app(sk8,skaf43(X0,X1))),
inference(superposition,[status(thm)],[c_299,c_56349]) ).
tcf(c_61844,plain,
! [X0: $i,X1: $i] : app(app(sk8,sk8),skaf42(X0,X1)) = app(sk8,app(sk8,skaf42(X0,X1))),
inference(superposition,[status(thm)],[c_300,c_56349]) ).
tcf(c_61845,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sk8,sk8),tl(X0)) = app(sk8,app(sk8,tl(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_56349]) ).
tcf(c_61846,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk8,sk8),app(X1,X0)) = app(sk8,app(sk8,app(X1,X0))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_56349]) ).
tcf(c_61847,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk8,sk8),cons(X1,X0)) = app(sk8,app(sk8,cons(X1,X0))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_56349]) ).
tcf(c_61848,plain,
app(app(sk8,sk8),iPr_def_16) = app(sk8,app(sk8,iPr_def_16)),
inference(superposition,[status(thm)],[c_9020,c_56349]) ).
tcf(c_61849,plain,
app(app(sk8,sk8),iPr_def_13) = app(sk8,app(sk8,iPr_def_13)),
inference(superposition,[status(thm)],[c_9527,c_56349]) ).
tcf(c_61850,plain,
app(app(sk8,sk8),iPr_def_12) = app(sk8,app(sk8,iPr_def_12)),
inference(superposition,[status(thm)],[c_9489,c_56349]) ).
tcf(c_61851,plain,
app(app(sk8,sk8),iPr_def_15) = app(sk8,app(sk8,iPr_def_15)),
inference(superposition,[status(thm)],[c_24748,c_56349]) ).
tcf(c_61852,plain,
app(app(sk8,sk8),iPr_def_14) = app(sk8,app(sk8,iPr_def_14)),
inference(superposition,[status(thm)],[c_9488,c_56349]) ).
tcf(c_61853,plain,
app(app(sk8,sk8),cons(sk6,sk4)) = app(sk8,app(sk8,cons(sk6,sk4))),
inference(superposition,[status(thm)],[c_28942,c_56349]) ).
tcf(c_61854,plain,
app(app(sk8,sk8),cons(sk6,sk7)) = app(sk8,app(sk8,cons(sk6,sk7))),
inference(superposition,[status(thm)],[c_28940,c_56349]) ).
tcf(c_61855,plain,
app(app(sk8,sk8),cons(sk6,sk8)) = app(sk8,app(sk8,cons(sk6,sk8))),
inference(superposition,[status(thm)],[c_28938,c_56349]) ).
tcf(c_61856,plain,
( ( app(app(sk8,sk8),app(sk4,app(sk4,sk4))) = app(sk8,app(sk8,app(sk4,app(sk4,sk4)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_56349]) ).
tcf(c_61857,plain,
( ( app(app(sk8,sk8),app(sk4,app(sk4,sk7))) = app(sk8,app(sk8,app(sk4,app(sk4,sk7)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_56349]) ).
tcf(c_61858,plain,
( ( app(app(sk8,sk8),app(sk4,app(sk4,sk8))) = app(sk8,app(sk8,app(sk4,app(sk4,sk8)))) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_56349]) ).
tcf(c_61859,plain,
( ( app(app(sk8,sk8),app(sk7,app(sk4,sk4))) = app(sk8,app(sk8,app(sk7,app(sk4,sk4)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_56349]) ).
tcf(c_61860,plain,
( ( app(app(sk8,sk8),app(sk7,app(sk4,sk7))) = app(sk8,app(sk8,app(sk7,app(sk4,sk7)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_56349]) ).
tcf(c_61861,plain,
( ( app(app(sk8,sk8),app(sk7,app(sk4,sk8))) = app(sk8,app(sk8,app(sk7,app(sk4,sk8)))) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_56349]) ).
tcf(c_61862,plain,
( ( app(app(sk8,sk8),app(sk8,app(sk4,sk4))) = app(sk8,app(sk8,app(sk8,app(sk4,sk4)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_56349]) ).
tcf(c_61863,plain,
( ( app(app(sk8,sk8),app(sk8,app(sk4,sk7))) = app(sk8,app(sk8,app(sk8,app(sk4,sk7)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_56349]) ).
tcf(c_61864,plain,
( ( app(app(sk8,sk8),app(sk8,app(sk4,sk8))) = app(sk8,app(sk8,app(sk8,app(sk4,sk8)))) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_56349]) ).
tcf(c_61865,plain,
( ( app(app(sk8,sk8),app(sk4,app(sk7,sk4))) = app(sk8,app(sk8,app(sk4,app(sk7,sk4)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_56349]) ).
tcf(c_61866,plain,
( ( app(app(sk8,sk8),app(sk4,app(sk7,sk7))) = app(sk8,app(sk8,app(sk4,app(sk7,sk7)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_56349]) ).
tcf(c_61867,plain,
( ( app(app(sk8,sk8),app(sk4,app(sk7,sk8))) = app(sk8,app(sk8,app(sk4,app(sk7,sk8)))) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_56349]) ).
tcf(c_61868,plain,
( ( app(app(sk8,sk8),app(sk7,app(sk7,sk4))) = app(sk8,app(sk8,app(sk7,app(sk7,sk4)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_56349]) ).
tcf(c_61869,plain,
( ( app(app(sk8,sk8),app(sk7,app(sk7,sk7))) = app(sk8,app(sk8,app(sk7,app(sk7,sk7)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_56349]) ).
tcf(c_61870,plain,
( ( app(app(sk8,sk8),app(sk7,app(sk7,sk8))) = app(sk8,app(sk8,app(sk7,app(sk7,sk8)))) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_56349]) ).
tcf(c_61871,plain,
( ( app(app(sk8,sk8),app(sk8,app(sk7,sk4))) = app(sk8,app(sk8,app(sk8,app(sk7,sk4)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_56349]) ).
tcf(c_61872,plain,
( ( app(app(sk8,sk8),app(sk8,app(sk7,sk7))) = app(sk8,app(sk8,app(sk8,app(sk7,sk7)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_56349]) ).
tcf(c_61873,plain,
( ( app(app(sk8,sk8),app(sk8,app(sk7,sk8))) = app(sk8,app(sk8,app(sk8,app(sk7,sk8)))) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_56349]) ).
tcf(c_61874,plain,
( ( app(app(sk8,sk8),app(sk4,app(sk8,sk4))) = app(sk8,app(sk8,app(sk4,app(sk8,sk4)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_56349]) ).
tcf(c_61875,plain,
( ( app(app(sk8,sk8),app(sk4,app(sk8,sk7))) = app(sk8,app(sk8,app(sk4,app(sk8,sk7)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_56349]) ).
tcf(c_61876,plain,
( ( app(app(sk8,sk8),app(sk4,app(sk8,sk8))) = app(sk8,app(sk8,app(sk4,app(sk8,sk8)))) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_56349]) ).
tcf(c_61877,plain,
( ( app(app(sk8,sk8),app(sk7,app(sk8,sk4))) = app(sk8,app(sk8,app(sk7,app(sk8,sk4)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_56349]) ).
tcf(c_61878,plain,
( ( app(app(sk8,sk8),app(sk7,app(sk8,sk7))) = app(sk8,app(sk8,app(sk7,app(sk8,sk7)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_56349]) ).
tcf(c_61879,plain,
( ( app(app(sk8,sk8),app(sk7,app(sk8,sk8))) = app(sk8,app(sk8,app(sk7,app(sk8,sk8)))) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_56349]) ).
tcf(c_61880,plain,
app(app(sk8,sk8),nil) = app(sk8,sk8),
inference(light_normalisation,[status(thm)],[c_61817,c_9103]) ).
tcf(c_62289,plain,
( ssList(app(sk8,app(sk8,sk4)))
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61814,c_332]) ).
tcf(c_62290,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk8,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(app(app(sk8,sk8),sk4),X0)) ),
inference(superposition,[status(thm)],[c_61814,c_420]) ).
tcf(c_62291,plain,
! [X0: $i] :
( ( app(sk8,sk8) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_61814,c_398]) ).
tcf(c_62293,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk8,sk8),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk8))
| ~ memberP(app(sk8,app(sk8,sk4)),X0) ),
inference(superposition,[status(thm)],[c_61814,c_405]) ).
tcf(c_62294,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_61814,c_366]) ).
tcf(c_62295,plain,
( ( app(sk8,sk8) = nil )
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_61814,c_365]) ).
tcf(c_62296,plain,
( frontsegP(app(sk8,app(sk8,sk4)),app(sk8,sk8))
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61814,c_808]) ).
tcf(c_62297,plain,
( rearsegP(app(sk8,app(sk8,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61814,c_807]) ).
tcf(c_62298,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61814,c_388]) ).
tcf(c_62299,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61814,c_383]) ).
tcf(c_62300,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ( app(app(sk8,sk8),X0) != app(sk8,app(sk8,sk4)) ) ),
inference(superposition,[status(thm)],[c_61814,c_397]) ).
tcf(c_62301,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk8))
| ~ memberP(app(sk8,sk8),X0) ),
inference(superposition,[status(thm)],[c_61814,c_387]) ).
tcf(c_62302,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ frontsegP(app(sk8,sk8),X0) ),
inference(superposition,[status(thm)],[c_61814,c_384]) ).
tcf(c_62303,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk8,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61814,c_419]) ).
tcf(c_62304,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk8,sk4)),X0)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(superposition,[status(thm)],[c_61814,c_419]) ).
tcf(c_62305,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk8)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(app(app(sk8,sk8),sk4)) ),
inference(superposition,[status(thm)],[c_61814,c_420]) ).
tcf(c_62306,plain,
( ( app(sk8,sk8) = iPr_def_14 )
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_61814,c_51225]) ).
tcf(c_62307,plain,
( ( app(sk8,sk8) = nil )
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_61814,c_17629]) ).
tcf(c_62308,plain,
( ssList(app(sk8,app(sk8,sk4)))
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62289,c_6486]) ).
tcf(c_62311,plain,
( rearsegP(app(sk8,app(sk8,sk4)),sk4)
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62297,c_6486]) ).
tcf(c_62314,plain,
( frontsegP(app(sk8,app(sk8,sk4)),app(sk8,sk8))
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62296,c_6486]) ).
tcf(c_62320,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk8)
| ~ ssList(sk8)
| ~ ssList(sk4)
| ~ ssList(app(sk8,app(sk8,sk4))) ),
inference(light_normalisation,[status(thm)],[c_62305,c_61814]) ).
tcf(c_62321,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk8)
| ~ ssList(app(sk8,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62320,c_6482,c_6486]) ).
tcf(c_62324,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk8,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62304,c_6482,c_6486]) ).
tcf(c_62328,plain,
( ( sk4 = nil )
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62294,c_6486]) ).
tcf(c_62335,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk8,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62299,c_6486]) ).
tcf(c_62340,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk8,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62298,c_6486]) ).
tcf(c_62345,plain,
( ( app(sk8,sk8) = nil )
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62295,c_6486]) ).
tcf(c_62349,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk8,sk4)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ frontsegP(app(sk8,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62302,c_6486]) ).
tcf(c_62354,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk8,sk4)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk8))
| ~ memberP(app(sk8,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62301,c_6486]) ).
tcf(c_62359,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk8,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62303,c_6486]) ).
tcf(c_62365,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk8,sk8),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk8))
| ~ memberP(app(sk8,app(sk8,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62293,c_6486]) ).
tcf(c_62371,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ( app(app(sk8,sk8),X0) != app(sk8,app(sk8,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62300,c_6486]) ).
tcf(c_62376,plain,
! [X0: $i] :
( ( app(sk8,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62291,c_6486]) ).
tcf(c_62381,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk8,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(app(sk8,app(sk8,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_62290,c_61814]) ).
tcf(c_62382,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk8,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(app(sk8,app(sk8,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62381,c_6486]) ).
tcf(c_62401,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk8,sk4)),sk8),X0) = app(app(sk8,app(sk8,sk4)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_16217]) ).
tcf(c_62402,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk8,sk4)),sk7),X0) = app(app(sk8,app(sk8,sk4)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_16216]) ).
tcf(c_62403,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk8,sk4)),sk4),X0) = app(app(sk8,app(sk8,sk4)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_16215]) ).
tcf(c_62404,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk8,app(sk8,sk4)))) = app(cons(X1,X0),app(sk8,app(sk8,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_404]) ).
tcf(c_62405,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk8,app(sk8,sk4))),X0) = app(X1,app(app(sk8,app(sk8,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_396]) ).
tcf(c_62406,plain,
! [X0: $i] :
( ( app(sk8,app(sk8,sk4)) = nil )
| ( app(tl(app(sk8,app(sk8,sk4))),X0) = tl(app(app(sk8,app(sk8,sk4)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_380]) ).
tcf(c_62407,plain,
! [X0: $i] :
( ( app(sk8,app(sk8,sk4)) = nil )
| ( hd(app(app(sk8,app(sk8,sk4)),X0)) = hd(app(sk8,app(sk8,sk4))) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_370]) ).
tcf(c_62408,plain,
( ( app(app(sk8,sk8),app(sk8,app(sk8,sk4))) = app(sk8,app(sk8,app(sk8,app(sk8,sk4)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_56349]) ).
tcf(c_62409,plain,
( ( app(app(sk7,sk8),app(sk8,app(sk8,sk4))) = app(sk7,app(sk8,app(sk8,app(sk8,sk4)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_56348]) ).
tcf(c_62410,plain,
( ( app(app(sk4,sk8),app(sk8,app(sk8,sk4))) = app(sk4,app(sk8,app(sk8,app(sk8,sk4)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_56347]) ).
tcf(c_62411,plain,
( ( app(app(sk8,sk7),app(sk8,app(sk8,sk4))) = app(sk8,app(sk7,app(sk8,app(sk8,sk4)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_45540]) ).
tcf(c_62412,plain,
( ( app(app(sk7,sk7),app(sk8,app(sk8,sk4))) = app(sk7,app(sk7,app(sk8,app(sk8,sk4)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_45539]) ).
tcf(c_62413,plain,
( ( app(app(sk4,sk7),app(sk8,app(sk8,sk4))) = app(sk4,app(sk7,app(sk8,app(sk8,sk4)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_45538]) ).
tcf(c_62414,plain,
( ( app(app(sk8,sk4),app(sk8,app(sk8,sk4))) = app(sk8,app(sk4,app(sk8,app(sk8,sk4)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_37633]) ).
tcf(c_62415,plain,
( ( app(app(sk7,sk4),app(sk8,app(sk8,sk4))) = app(sk7,app(sk4,app(sk8,app(sk8,sk4)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_37632]) ).
tcf(c_62416,plain,
( ( app(app(sk4,sk4),app(sk8,app(sk8,sk4))) = app(sk4,app(sk4,app(sk8,app(sk8,sk4)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_37631]) ).
tcf(c_62417,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk8,app(sk8,sk4))) = tl(app(sk8,app(sk8,app(sk8,sk4)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_14611]) ).
tcf(c_62418,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk8,app(sk8,sk4))) = tl(app(sk7,app(sk8,app(sk8,sk4)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_14610]) ).
tcf(c_62419,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk8,app(sk8,sk4))) = tl(app(sk4,app(sk8,app(sk8,sk4)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_14609]) ).
tcf(c_62420,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk8,app(sk8,sk4)))) = hd(sk8) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_11903]) ).
tcf(c_62421,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk8,app(sk8,sk4)))) = hd(sk7) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_11902]) ).
tcf(c_62422,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk8,app(sk8,sk4)))) = hd(sk4) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_11901]) ).
tcf(c_62423,plain,
( cyclefreeP(app(sk8,app(sk8,sk4)))
| ( app(app(skaf51(app(sk8,app(sk8,sk4))),cons(skaf49(app(sk8,app(sk8,sk4))),skaf52(app(sk8,app(sk8,sk4))))),cons(skaf50(app(sk8,app(sk8,sk4))),skaf53(app(sk8,app(sk8,sk4))))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_414]) ).
tcf(c_62424,plain,
( totalorderP(app(sk8,app(sk8,sk4)))
| ( app(app(skaf56(app(sk8,app(sk8,sk4))),cons(skaf54(app(sk8,app(sk8,sk4))),skaf57(app(sk8,app(sk8,sk4))))),cons(skaf55(app(sk8,app(sk8,sk4))),skaf58(app(sk8,app(sk8,sk4))))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_413]) ).
tcf(c_62425,plain,
( strictorderP(app(sk8,app(sk8,sk4)))
| ( app(app(skaf61(app(sk8,app(sk8,sk4))),cons(skaf59(app(sk8,app(sk8,sk4))),skaf62(app(sk8,app(sk8,sk4))))),cons(skaf60(app(sk8,app(sk8,sk4))),skaf63(app(sk8,app(sk8,sk4))))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_412]) ).
tcf(c_62426,plain,
( totalorderedP(app(sk8,app(sk8,sk4)))
| ( app(app(skaf66(app(sk8,app(sk8,sk4))),cons(skaf64(app(sk8,app(sk8,sk4))),skaf67(app(sk8,app(sk8,sk4))))),cons(skaf65(app(sk8,app(sk8,sk4))),skaf68(app(sk8,app(sk8,sk4))))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_411]) ).
tcf(c_62427,plain,
( strictorderedP(app(sk8,app(sk8,sk4)))
| ( app(app(skaf71(app(sk8,app(sk8,sk4))),cons(skaf69(app(sk8,app(sk8,sk4))),skaf72(app(sk8,app(sk8,sk4))))),cons(skaf70(app(sk8,app(sk8,sk4))),skaf73(app(sk8,app(sk8,sk4))))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_410]) ).
tcf(c_62428,plain,
( duplicatefreeP(app(sk8,app(sk8,sk4)))
| ( app(app(skaf75(app(sk8,app(sk8,sk4))),cons(skaf74(app(sk8,app(sk8,sk4))),skaf76(app(sk8,app(sk8,sk4))))),cons(skaf74(app(sk8,app(sk8,sk4))),skaf77(app(sk8,app(sk8,sk4))))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_409]) ).
tcf(c_62429,plain,
( equalelemsP(app(sk8,app(sk8,sk4)))
| ( app(skaf80(app(sk8,app(sk8,sk4))),cons(skaf78(app(sk8,app(sk8,sk4))),cons(skaf79(app(sk8,app(sk8,sk4))),skaf81(app(sk8,app(sk8,sk4)))))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_389]) ).
tcf(c_62430,plain,
( ( hd(cons(sk6,app(sk8,app(sk8,sk4)))) = sk6 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_10017]) ).
tcf(c_62431,plain,
( ( app(sk8,app(sk8,sk4)) = nil )
| ( cons(skaf83(app(sk8,app(sk8,sk4))),skaf82(app(sk8,app(sk8,sk4)))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_356]) ).
tcf(c_62432,plain,
( ( app(sk8,app(sk8,sk4)) = nil )
| ( cons(hd(app(sk8,app(sk8,sk4))),tl(app(sk8,app(sk8,sk4)))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_351]) ).
tcf(c_62433,plain,
( ( hd(cons(sk5,app(sk8,app(sk8,sk4)))) = sk5 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_10016]) ).
tcf(c_62434,plain,
( ( tl(cons(sk6,app(sk8,app(sk8,sk4)))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_9887]) ).
tcf(c_62435,plain,
( ( tl(cons(sk5,app(sk8,app(sk8,sk4)))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_9886]) ).
tcf(c_62436,plain,
( duplicatefreeP(app(sk8,app(sk8,sk4)))
| ~ iPr_def_11
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_6471]) ).
tcf(c_62437,plain,
( ( app(nil,app(sk8,app(sk8,sk4))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_321]) ).
tcf(c_62438,plain,
( ( app(app(sk8,app(sk8,sk4)),nil) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_320]) ).
tcf(c_62644,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk6,skaf45(X0,X1)) = nil )
| ( cons(sk6,skaf45(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk6,skaf45(X0,X1)))
| ( skaf45(X0,X1) != tl(X2) )
| ( hd(cons(sk6,skaf45(X0,X1))) != hd(X2) ) ),
inference(superposition,[status(thm)],[c_10336,c_424]) ).
tcf(c_62647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk6,skaf45(X0,X1)) = nil )
| ( cons(sk6,skaf45(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk6,skaf45(X0,X1)))
| ( hd(X2) != sk6 )
| ( skaf45(X0,X1) != tl(X2) ) ),
inference(light_normalisation,[status(thm)],[c_62644,c_11249]) ).
tcf(c_62655,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,sk8),sk8))
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(X0,cons(sk6,sk8))
| ~ ssList(skaf46(cons(sk6,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_28916,c_401]) ).
tcf(c_62656,plain,
( ( app(skaf46(cons(sk6,sk8),sk8),skaf45(cons(sk6,sk8),skaf46(cons(sk6,sk8),sk8))) = cons(sk6,sk8) )
| ~ ssList(cons(sk6,sk8))
| ~ ssList(skaf46(cons(sk6,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_28916,c_379]) ).
tcf(c_62657,plain,
( ( skaf46(cons(sk6,sk8),sk8) = cons(sk6,sk8) )
| ~ ssList(cons(sk6,sk8))
| ~ ssList(skaf46(cons(sk6,sk8),sk8))
| ~ frontsegP(skaf46(cons(sk6,sk8),sk8),cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_28916,c_376]) ).
tcf(c_62658,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,sk8),sk8))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62655,c_28938,c_297]) ).
tcf(c_62662,plain,
( ( skaf46(cons(sk6,sk8),sk8) = cons(sk6,sk8) )
| ~ frontsegP(skaf46(cons(sk6,sk8),sk8),cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62657,c_28938,c_297]) ).
tcf(c_62665,plain,
app(skaf46(cons(sk6,sk8),sk8),skaf45(cons(sk6,sk8),skaf46(cons(sk6,sk8),sk8))) = cons(sk6,sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_62656,c_28938,c_297]) ).
tcf(c_62667,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,sk7),sk7))
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(X0,cons(sk6,sk7))
| ~ ssList(skaf46(cons(sk6,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_28924,c_401]) ).
tcf(c_62668,plain,
( ( app(skaf46(cons(sk6,sk7),sk7),skaf45(cons(sk6,sk7),skaf46(cons(sk6,sk7),sk7))) = cons(sk6,sk7) )
| ~ ssList(cons(sk6,sk7))
| ~ ssList(skaf46(cons(sk6,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_28924,c_379]) ).
tcf(c_62669,plain,
( ( skaf46(cons(sk6,sk7),sk7) = cons(sk6,sk7) )
| ~ ssList(cons(sk6,sk7))
| ~ ssList(skaf46(cons(sk6,sk7),sk7))
| ~ frontsegP(skaf46(cons(sk6,sk7),sk7),cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_28924,c_376]) ).
tcf(c_62670,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,sk7),sk7))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62667,c_28940,c_297]) ).
tcf(c_62674,plain,
( ( skaf46(cons(sk6,sk7),sk7) = cons(sk6,sk7) )
| ~ frontsegP(skaf46(cons(sk6,sk7),sk7),cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62669,c_28940,c_297]) ).
tcf(c_62677,plain,
app(skaf46(cons(sk6,sk7),sk7),skaf45(cons(sk6,sk7),skaf46(cons(sk6,sk7),sk7))) = cons(sk6,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_62668,c_28940,c_297]) ).
tcf(c_62679,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,sk4),sk4))
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(X0,cons(sk6,sk4))
| ~ ssList(skaf46(cons(sk6,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_28929,c_401]) ).
tcf(c_62680,plain,
( ( app(skaf46(cons(sk6,sk4),sk4),skaf45(cons(sk6,sk4),skaf46(cons(sk6,sk4),sk4))) = cons(sk6,sk4) )
| ~ ssList(cons(sk6,sk4))
| ~ ssList(skaf46(cons(sk6,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_28929,c_379]) ).
tcf(c_62681,plain,
( ( skaf46(cons(sk6,sk4),sk4) = cons(sk6,sk4) )
| ~ ssList(cons(sk6,sk4))
| ~ ssList(skaf46(cons(sk6,sk4),sk4))
| ~ frontsegP(skaf46(cons(sk6,sk4),sk4),cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_28929,c_376]) ).
tcf(c_62682,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,sk4),sk4))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62679,c_28942,c_297]) ).
tcf(c_62686,plain,
( ( skaf46(cons(sk6,sk4),sk4) = cons(sk6,sk4) )
| ~ frontsegP(skaf46(cons(sk6,sk4),sk4),cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62681,c_28942,c_297]) ).
tcf(c_62689,plain,
app(skaf46(cons(sk6,sk4),sk4),skaf45(cons(sk6,sk4),skaf46(cons(sk6,sk4),sk4))) = cons(sk6,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_62680,c_28942,c_297]) ).
tcf(c_62700,plain,
( ssList(app(sk8,app(sk8,sk7)))
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61815,c_332]) ).
tcf(c_62701,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk8,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(app(app(sk8,sk8),sk7),X0)) ),
inference(superposition,[status(thm)],[c_61815,c_420]) ).
tcf(c_62702,plain,
! [X0: $i] :
( ( app(sk8,sk8) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_61815,c_398]) ).
tcf(c_62704,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk8,sk8),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk8))
| ~ memberP(app(sk8,app(sk8,sk7)),X0) ),
inference(superposition,[status(thm)],[c_61815,c_405]) ).
tcf(c_62705,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_61815,c_366]) ).
tcf(c_62706,plain,
( ( app(sk8,sk8) = nil )
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_61815,c_365]) ).
tcf(c_62707,plain,
( frontsegP(app(sk8,app(sk8,sk7)),app(sk8,sk8))
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61815,c_808]) ).
tcf(c_62708,plain,
( rearsegP(app(sk8,app(sk8,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61815,c_807]) ).
tcf(c_62709,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61815,c_388]) ).
tcf(c_62710,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61815,c_383]) ).
tcf(c_62711,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ( app(app(sk8,sk8),X0) != app(sk8,app(sk8,sk7)) ) ),
inference(superposition,[status(thm)],[c_61815,c_397]) ).
tcf(c_62712,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk8))
| ~ memberP(app(sk8,sk8),X0) ),
inference(superposition,[status(thm)],[c_61815,c_387]) ).
tcf(c_62713,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ frontsegP(app(sk8,sk8),X0) ),
inference(superposition,[status(thm)],[c_61815,c_384]) ).
tcf(c_62714,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk8,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61815,c_419]) ).
tcf(c_62715,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk8,sk7)),X0)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(superposition,[status(thm)],[c_61815,c_419]) ).
tcf(c_62716,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk8)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(app(app(sk8,sk8),sk7)) ),
inference(superposition,[status(thm)],[c_61815,c_420]) ).
tcf(c_62717,plain,
( ( app(sk8,sk8) = iPr_def_14 )
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_61815,c_51335]) ).
tcf(c_62718,plain,
( ( app(sk8,sk8) = nil )
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_61815,c_17625]) ).
tcf(c_62719,plain,
( ssList(app(sk8,app(sk8,sk7)))
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62700,c_6483]) ).
tcf(c_62722,plain,
( rearsegP(app(sk8,app(sk8,sk7)),sk7)
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62708,c_6483]) ).
tcf(c_62725,plain,
( frontsegP(app(sk8,app(sk8,sk7)),app(sk8,sk8))
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62707,c_6483]) ).
tcf(c_62731,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk8)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssList(app(sk8,app(sk8,sk7))) ),
inference(light_normalisation,[status(thm)],[c_62716,c_61815]) ).
tcf(c_62732,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk8)
| ~ ssList(app(sk8,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62731,c_6482,c_6483]) ).
tcf(c_62735,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk8,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62715,c_6482,c_6483]) ).
tcf(c_62739,plain,
( ( sk7 = nil )
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62705,c_6483]) ).
tcf(c_62746,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk8,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62710,c_6483]) ).
tcf(c_62751,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk8,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62709,c_6483]) ).
tcf(c_62756,plain,
( ( app(sk8,sk8) = nil )
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62706,c_6483]) ).
tcf(c_62760,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk8,sk7)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ frontsegP(app(sk8,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62713,c_6483]) ).
tcf(c_62765,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk8,sk7)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk8))
| ~ memberP(app(sk8,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62712,c_6483]) ).
tcf(c_62770,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk8,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62714,c_6483]) ).
tcf(c_62776,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk8,sk8),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk8))
| ~ memberP(app(sk8,app(sk8,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62704,c_6483]) ).
tcf(c_62782,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ( app(app(sk8,sk8),X0) != app(sk8,app(sk8,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62711,c_6483]) ).
tcf(c_62787,plain,
! [X0: $i] :
( ( app(sk8,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62702,c_6483]) ).
tcf(c_62792,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk8,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(app(sk8,app(sk8,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_62701,c_61815]) ).
tcf(c_62793,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk8,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(app(sk8,app(sk8,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62792,c_6483]) ).
tcf(c_62812,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk8,sk7)),sk8),X0) = app(app(sk8,app(sk8,sk7)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_16217]) ).
tcf(c_62813,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk8,sk7)),sk7),X0) = app(app(sk8,app(sk8,sk7)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_16216]) ).
tcf(c_62814,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk8,sk7)),sk4),X0) = app(app(sk8,app(sk8,sk7)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_16215]) ).
tcf(c_62815,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk8,app(sk8,sk7)))) = app(cons(X1,X0),app(sk8,app(sk8,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_404]) ).
tcf(c_62816,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk8,app(sk8,sk7))),X0) = app(X1,app(app(sk8,app(sk8,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_396]) ).
tcf(c_62817,plain,
! [X0: $i] :
( ( app(sk8,app(sk8,sk7)) = nil )
| ( app(tl(app(sk8,app(sk8,sk7))),X0) = tl(app(app(sk8,app(sk8,sk7)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_380]) ).
tcf(c_62818,plain,
! [X0: $i] :
( ( app(sk8,app(sk8,sk7)) = nil )
| ( hd(app(app(sk8,app(sk8,sk7)),X0)) = hd(app(sk8,app(sk8,sk7))) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_370]) ).
tcf(c_62819,plain,
( ( app(app(sk8,sk8),app(sk8,app(sk8,sk7))) = app(sk8,app(sk8,app(sk8,app(sk8,sk7)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_56349]) ).
tcf(c_62820,plain,
( ( app(app(sk7,sk8),app(sk8,app(sk8,sk7))) = app(sk7,app(sk8,app(sk8,app(sk8,sk7)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_56348]) ).
tcf(c_62821,plain,
( ( app(app(sk4,sk8),app(sk8,app(sk8,sk7))) = app(sk4,app(sk8,app(sk8,app(sk8,sk7)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_56347]) ).
tcf(c_62822,plain,
( ( app(app(sk8,sk7),app(sk8,app(sk8,sk7))) = app(sk8,app(sk7,app(sk8,app(sk8,sk7)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_45540]) ).
tcf(c_62823,plain,
( ( app(app(sk7,sk7),app(sk8,app(sk8,sk7))) = app(sk7,app(sk7,app(sk8,app(sk8,sk7)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_45539]) ).
tcf(c_62824,plain,
( ( app(app(sk4,sk7),app(sk8,app(sk8,sk7))) = app(sk4,app(sk7,app(sk8,app(sk8,sk7)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_45538]) ).
tcf(c_62825,plain,
( ( app(app(sk8,sk4),app(sk8,app(sk8,sk7))) = app(sk8,app(sk4,app(sk8,app(sk8,sk7)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_37633]) ).
tcf(c_62826,plain,
( ( app(app(sk7,sk4),app(sk8,app(sk8,sk7))) = app(sk7,app(sk4,app(sk8,app(sk8,sk7)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_37632]) ).
tcf(c_62827,plain,
( ( app(app(sk4,sk4),app(sk8,app(sk8,sk7))) = app(sk4,app(sk4,app(sk8,app(sk8,sk7)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_37631]) ).
tcf(c_62828,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk8,app(sk8,sk7))) = tl(app(sk8,app(sk8,app(sk8,sk7)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_14611]) ).
tcf(c_62829,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk8,app(sk8,sk7))) = tl(app(sk7,app(sk8,app(sk8,sk7)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_14610]) ).
tcf(c_62830,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk8,app(sk8,sk7))) = tl(app(sk4,app(sk8,app(sk8,sk7)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_14609]) ).
tcf(c_62831,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk8,app(sk8,sk7)))) = hd(sk8) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_11903]) ).
tcf(c_62832,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk8,app(sk8,sk7)))) = hd(sk7) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_11902]) ).
tcf(c_62833,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk8,app(sk8,sk7)))) = hd(sk4) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_11901]) ).
tcf(c_62834,plain,
( cyclefreeP(app(sk8,app(sk8,sk7)))
| ( app(app(skaf51(app(sk8,app(sk8,sk7))),cons(skaf49(app(sk8,app(sk8,sk7))),skaf52(app(sk8,app(sk8,sk7))))),cons(skaf50(app(sk8,app(sk8,sk7))),skaf53(app(sk8,app(sk8,sk7))))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_414]) ).
tcf(c_62835,plain,
( totalorderP(app(sk8,app(sk8,sk7)))
| ( app(app(skaf56(app(sk8,app(sk8,sk7))),cons(skaf54(app(sk8,app(sk8,sk7))),skaf57(app(sk8,app(sk8,sk7))))),cons(skaf55(app(sk8,app(sk8,sk7))),skaf58(app(sk8,app(sk8,sk7))))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_413]) ).
tcf(c_62836,plain,
( strictorderP(app(sk8,app(sk8,sk7)))
| ( app(app(skaf61(app(sk8,app(sk8,sk7))),cons(skaf59(app(sk8,app(sk8,sk7))),skaf62(app(sk8,app(sk8,sk7))))),cons(skaf60(app(sk8,app(sk8,sk7))),skaf63(app(sk8,app(sk8,sk7))))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_412]) ).
tcf(c_62837,plain,
( totalorderedP(app(sk8,app(sk8,sk7)))
| ( app(app(skaf66(app(sk8,app(sk8,sk7))),cons(skaf64(app(sk8,app(sk8,sk7))),skaf67(app(sk8,app(sk8,sk7))))),cons(skaf65(app(sk8,app(sk8,sk7))),skaf68(app(sk8,app(sk8,sk7))))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_411]) ).
tcf(c_62838,plain,
( strictorderedP(app(sk8,app(sk8,sk7)))
| ( app(app(skaf71(app(sk8,app(sk8,sk7))),cons(skaf69(app(sk8,app(sk8,sk7))),skaf72(app(sk8,app(sk8,sk7))))),cons(skaf70(app(sk8,app(sk8,sk7))),skaf73(app(sk8,app(sk8,sk7))))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_410]) ).
tcf(c_62839,plain,
( duplicatefreeP(app(sk8,app(sk8,sk7)))
| ( app(app(skaf75(app(sk8,app(sk8,sk7))),cons(skaf74(app(sk8,app(sk8,sk7))),skaf76(app(sk8,app(sk8,sk7))))),cons(skaf74(app(sk8,app(sk8,sk7))),skaf77(app(sk8,app(sk8,sk7))))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_409]) ).
tcf(c_62840,plain,
( equalelemsP(app(sk8,app(sk8,sk7)))
| ( app(skaf80(app(sk8,app(sk8,sk7))),cons(skaf78(app(sk8,app(sk8,sk7))),cons(skaf79(app(sk8,app(sk8,sk7))),skaf81(app(sk8,app(sk8,sk7)))))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_389]) ).
tcf(c_62841,plain,
( ( hd(cons(sk6,app(sk8,app(sk8,sk7)))) = sk6 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_10017]) ).
tcf(c_62842,plain,
( ( app(sk8,app(sk8,sk7)) = nil )
| ( cons(skaf83(app(sk8,app(sk8,sk7))),skaf82(app(sk8,app(sk8,sk7)))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_356]) ).
tcf(c_62843,plain,
( ( app(sk8,app(sk8,sk7)) = nil )
| ( cons(hd(app(sk8,app(sk8,sk7))),tl(app(sk8,app(sk8,sk7)))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_351]) ).
tcf(c_62844,plain,
( ( hd(cons(sk5,app(sk8,app(sk8,sk7)))) = sk5 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_10016]) ).
tcf(c_62845,plain,
( ( tl(cons(sk6,app(sk8,app(sk8,sk7)))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_9887]) ).
tcf(c_62846,plain,
( ( tl(cons(sk5,app(sk8,app(sk8,sk7)))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_9886]) ).
tcf(c_62847,plain,
( duplicatefreeP(app(sk8,app(sk8,sk7)))
| ~ iPr_def_11
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_6471]) ).
tcf(c_62848,plain,
( ( app(nil,app(sk8,app(sk8,sk7))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_321]) ).
tcf(c_62849,plain,
( ( app(app(sk8,app(sk8,sk7)),nil) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_320]) ).
tcf(c_63043,plain,
( ssList(app(sk8,app(sk8,sk8)))
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61816,c_332]) ).
tcf(c_63044,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk8,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(app(app(sk8,sk8),sk8),X0)) ),
inference(superposition,[status(thm)],[c_61816,c_420]) ).
tcf(c_63045,plain,
! [X0: $i] :
( ( app(sk8,sk8) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk8)) != app(X0,sk8) ) ),
inference(superposition,[status(thm)],[c_61816,c_398]) ).
tcf(c_63047,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk8,sk8),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk8))
| ~ memberP(app(sk8,app(sk8,sk8)),X0) ),
inference(superposition,[status(thm)],[c_61816,c_405]) ).
tcf(c_63048,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_61816,c_366]) ).
tcf(c_63049,plain,
( ( app(sk8,sk8) = nil )
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_61816,c_365]) ).
tcf(c_63050,plain,
( frontsegP(app(sk8,app(sk8,sk8)),app(sk8,sk8))
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61816,c_808]) ).
tcf(c_63051,plain,
( rearsegP(app(sk8,app(sk8,sk8)),sk8)
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61816,c_807]) ).
tcf(c_63052,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk8,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61816,c_388]) ).
tcf(c_63053,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk8,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61816,c_383]) ).
tcf(c_63054,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ( app(app(sk8,sk8),X0) != app(sk8,app(sk8,sk8)) ) ),
inference(superposition,[status(thm)],[c_61816,c_397]) ).
tcf(c_63055,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk8,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk8))
| ~ memberP(app(sk8,sk8),X0) ),
inference(superposition,[status(thm)],[c_61816,c_387]) ).
tcf(c_63056,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk8,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ frontsegP(app(sk8,sk8),X0) ),
inference(superposition,[status(thm)],[c_61816,c_384]) ).
tcf(c_63057,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk8,sk8)),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_61816,c_419]) ).
tcf(c_63058,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk8,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(superposition,[status(thm)],[c_61816,c_419]) ).
tcf(c_63059,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk8)
| ~ ssList(sk8)
| ~ ssList(app(app(sk8,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_61816,c_420]) ).
tcf(c_63060,plain,
( ( app(sk8,sk8) = iPr_def_14 )
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk8)) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_61816,c_51820]) ).
tcf(c_63061,plain,
( ( app(sk8,sk8) = nil )
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk8)) != sk8 ) ),
inference(superposition,[status(thm)],[c_61816,c_17621]) ).
tcf(c_63062,plain,
( ssList(app(sk8,app(sk8,sk8)))
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63043,c_6482]) ).
tcf(c_63065,plain,
( rearsegP(app(sk8,app(sk8,sk8)),sk8)
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63051,c_6482]) ).
tcf(c_63068,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk8)
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk8,sk8))) ),
inference(light_normalisation,[status(thm)],[c_63059,c_61816]) ).
tcf(c_63069,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk8)
| ~ ssList(app(sk8,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63068,c_6482]) ).
tcf(c_63072,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk8,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63058,c_6482]) ).
tcf(c_63076,plain,
( frontsegP(app(sk8,app(sk8,sk8)),app(sk8,sk8))
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63050,c_6482]) ).
tcf(c_63082,plain,
( ( sk8 = nil )
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63048,c_6482]) ).
tcf(c_63089,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk8,sk8)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63053,c_6482]) ).
tcf(c_63094,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk8,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63052,c_6482]) ).
tcf(c_63099,plain,
( ( app(sk8,sk8) = nil )
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63049,c_6482]) ).
tcf(c_63103,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk8,sk8)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ frontsegP(app(sk8,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63056,c_6482]) ).
tcf(c_63108,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk8,sk8)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk8))
| ~ memberP(app(sk8,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63055,c_6482]) ).
tcf(c_63113,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk8,sk8)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk8,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63057,c_6482]) ).
tcf(c_63119,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk8,sk8),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk8))
| ~ memberP(app(sk8,app(sk8,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63047,c_6482]) ).
tcf(c_63125,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ( app(app(sk8,sk8),X0) != app(sk8,app(sk8,sk8)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63054,c_6482]) ).
tcf(c_63130,plain,
! [X0: $i] :
( ( app(sk8,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk8)) != app(X0,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63045,c_6482]) ).
tcf(c_63135,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk8,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(app(sk8,app(sk8,sk8)),X0)) ),
inference(light_normalisation,[status(thm)],[c_63044,c_61816]) ).
tcf(c_63136,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk8,sk8)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(app(sk8,app(sk8,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63135,c_6482]) ).
tcf(c_63155,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk8,sk8)),sk8),X0) = app(app(sk8,app(sk8,sk8)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_16217]) ).
tcf(c_63156,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk8,sk8)),sk7),X0) = app(app(sk8,app(sk8,sk8)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_16216]) ).
tcf(c_63157,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk8,sk8)),sk4),X0) = app(app(sk8,app(sk8,sk8)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_16215]) ).
tcf(c_63158,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk8,app(sk8,sk8)))) = app(cons(X1,X0),app(sk8,app(sk8,sk8))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_404]) ).
tcf(c_63159,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk8,app(sk8,sk8))),X0) = app(X1,app(app(sk8,app(sk8,sk8)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_396]) ).
tcf(c_63160,plain,
! [X0: $i] :
( ( app(sk8,app(sk8,sk8)) = nil )
| ( app(tl(app(sk8,app(sk8,sk8))),X0) = tl(app(app(sk8,app(sk8,sk8)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_380]) ).
tcf(c_63161,plain,
! [X0: $i] :
( ( app(sk8,app(sk8,sk8)) = nil )
| ( hd(app(app(sk8,app(sk8,sk8)),X0)) = hd(app(sk8,app(sk8,sk8))) )
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_370]) ).
tcf(c_63162,plain,
( ( app(app(sk8,sk8),app(sk8,app(sk8,sk8))) = app(sk8,app(sk8,app(sk8,app(sk8,sk8)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_56349]) ).
tcf(c_63163,plain,
( ( app(app(sk7,sk8),app(sk8,app(sk8,sk8))) = app(sk7,app(sk8,app(sk8,app(sk8,sk8)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_56348]) ).
tcf(c_63164,plain,
( ( app(app(sk4,sk8),app(sk8,app(sk8,sk8))) = app(sk4,app(sk8,app(sk8,app(sk8,sk8)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_56347]) ).
tcf(c_63165,plain,
( ( app(app(sk8,sk7),app(sk8,app(sk8,sk8))) = app(sk8,app(sk7,app(sk8,app(sk8,sk8)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_45540]) ).
tcf(c_63166,plain,
( ( app(app(sk7,sk7),app(sk8,app(sk8,sk8))) = app(sk7,app(sk7,app(sk8,app(sk8,sk8)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_45539]) ).
tcf(c_63167,plain,
( ( app(app(sk4,sk7),app(sk8,app(sk8,sk8))) = app(sk4,app(sk7,app(sk8,app(sk8,sk8)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_45538]) ).
tcf(c_63168,plain,
( ( app(app(sk8,sk4),app(sk8,app(sk8,sk8))) = app(sk8,app(sk4,app(sk8,app(sk8,sk8)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_37633]) ).
tcf(c_63169,plain,
( ( app(app(sk7,sk4),app(sk8,app(sk8,sk8))) = app(sk7,app(sk4,app(sk8,app(sk8,sk8)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_37632]) ).
tcf(c_63170,plain,
( ( app(app(sk4,sk4),app(sk8,app(sk8,sk8))) = app(sk4,app(sk4,app(sk8,app(sk8,sk8)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_37631]) ).
tcf(c_63171,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk8,app(sk8,sk8))) = tl(app(sk8,app(sk8,app(sk8,sk8)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_14611]) ).
tcf(c_63172,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk8,app(sk8,sk8))) = tl(app(sk7,app(sk8,app(sk8,sk8)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_14610]) ).
tcf(c_63173,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk8,app(sk8,sk8))) = tl(app(sk4,app(sk8,app(sk8,sk8)))) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_14609]) ).
tcf(c_63174,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk8,app(sk8,sk8)))) = hd(sk8) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_11903]) ).
tcf(c_63175,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk8,app(sk8,sk8)))) = hd(sk7) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_11902]) ).
tcf(c_63176,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk8,app(sk8,sk8)))) = hd(sk4) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_11901]) ).
tcf(c_63177,plain,
( cyclefreeP(app(sk8,app(sk8,sk8)))
| ( app(app(skaf51(app(sk8,app(sk8,sk8))),cons(skaf49(app(sk8,app(sk8,sk8))),skaf52(app(sk8,app(sk8,sk8))))),cons(skaf50(app(sk8,app(sk8,sk8))),skaf53(app(sk8,app(sk8,sk8))))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_414]) ).
tcf(c_63178,plain,
( totalorderP(app(sk8,app(sk8,sk8)))
| ( app(app(skaf56(app(sk8,app(sk8,sk8))),cons(skaf54(app(sk8,app(sk8,sk8))),skaf57(app(sk8,app(sk8,sk8))))),cons(skaf55(app(sk8,app(sk8,sk8))),skaf58(app(sk8,app(sk8,sk8))))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_413]) ).
tcf(c_63179,plain,
( strictorderP(app(sk8,app(sk8,sk8)))
| ( app(app(skaf61(app(sk8,app(sk8,sk8))),cons(skaf59(app(sk8,app(sk8,sk8))),skaf62(app(sk8,app(sk8,sk8))))),cons(skaf60(app(sk8,app(sk8,sk8))),skaf63(app(sk8,app(sk8,sk8))))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_412]) ).
tcf(c_63180,plain,
( totalorderedP(app(sk8,app(sk8,sk8)))
| ( app(app(skaf66(app(sk8,app(sk8,sk8))),cons(skaf64(app(sk8,app(sk8,sk8))),skaf67(app(sk8,app(sk8,sk8))))),cons(skaf65(app(sk8,app(sk8,sk8))),skaf68(app(sk8,app(sk8,sk8))))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_411]) ).
tcf(c_63181,plain,
( strictorderedP(app(sk8,app(sk8,sk8)))
| ( app(app(skaf71(app(sk8,app(sk8,sk8))),cons(skaf69(app(sk8,app(sk8,sk8))),skaf72(app(sk8,app(sk8,sk8))))),cons(skaf70(app(sk8,app(sk8,sk8))),skaf73(app(sk8,app(sk8,sk8))))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_410]) ).
tcf(c_63182,plain,
( duplicatefreeP(app(sk8,app(sk8,sk8)))
| ( app(app(skaf75(app(sk8,app(sk8,sk8))),cons(skaf74(app(sk8,app(sk8,sk8))),skaf76(app(sk8,app(sk8,sk8))))),cons(skaf74(app(sk8,app(sk8,sk8))),skaf77(app(sk8,app(sk8,sk8))))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_409]) ).
tcf(c_63183,plain,
( equalelemsP(app(sk8,app(sk8,sk8)))
| ( app(skaf80(app(sk8,app(sk8,sk8))),cons(skaf78(app(sk8,app(sk8,sk8))),cons(skaf79(app(sk8,app(sk8,sk8))),skaf81(app(sk8,app(sk8,sk8)))))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_389]) ).
tcf(c_63184,plain,
( ( hd(cons(sk6,app(sk8,app(sk8,sk8)))) = sk6 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_10017]) ).
tcf(c_63185,plain,
( ( app(sk8,app(sk8,sk8)) = nil )
| ( cons(skaf83(app(sk8,app(sk8,sk8))),skaf82(app(sk8,app(sk8,sk8)))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_356]) ).
tcf(c_63186,plain,
( ( app(sk8,app(sk8,sk8)) = nil )
| ( cons(hd(app(sk8,app(sk8,sk8))),tl(app(sk8,app(sk8,sk8)))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_351]) ).
tcf(c_63187,plain,
( ( hd(cons(sk5,app(sk8,app(sk8,sk8)))) = sk5 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_10016]) ).
tcf(c_63188,plain,
( ( tl(cons(sk6,app(sk8,app(sk8,sk8)))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_9887]) ).
tcf(c_63189,plain,
( ( tl(cons(sk5,app(sk8,app(sk8,sk8)))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_9886]) ).
tcf(c_63190,plain,
( duplicatefreeP(app(sk8,app(sk8,sk8)))
| ~ iPr_def_11
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_6471]) ).
tcf(c_63191,plain,
( ( app(nil,app(sk8,app(sk8,sk8))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_321]) ).
tcf(c_63192,plain,
( ( app(app(sk8,app(sk8,sk8)),nil) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_320]) ).
tcf(c_63807,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ rearsegP(X0,app(sk8,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_62311,c_400]) ).
tcf(c_63808,plain,
( ( app(skaf46(app(sk8,app(sk8,sk4)),sk4),sk4) = app(sk8,app(sk8,sk4)) )
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_62311,c_378]) ).
tcf(c_63809,plain,
( ( app(sk8,app(sk8,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_62311,c_375]) ).
tcf(c_63810,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ rearsegP(X0,app(sk8,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63807,c_6486]) ).
tcf(c_63816,plain,
( ( app(sk8,app(sk8,sk4)) = sk4 )
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63809,c_6486]) ).
tcf(c_63821,plain,
( ( app(skaf46(app(sk8,app(sk8,sk4)),sk4),sk4) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63808,c_6486]) ).
tcf(c_63830,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ rearsegP(X0,app(sk8,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_62722,c_400]) ).
tcf(c_63831,plain,
( ( app(skaf46(app(sk8,app(sk8,sk7)),sk7),sk7) = app(sk8,app(sk8,sk7)) )
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_62722,c_378]) ).
tcf(c_63832,plain,
( ( app(sk8,app(sk8,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_62722,c_375]) ).
tcf(c_63833,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ rearsegP(X0,app(sk8,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63830,c_6483]) ).
tcf(c_63839,plain,
( ( app(sk8,app(sk8,sk7)) = sk7 )
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63832,c_6483]) ).
tcf(c_63844,plain,
( ( app(skaf46(app(sk8,app(sk8,sk7)),sk7),sk7) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63831,c_6483]) ).
tcf(c_63853,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ rearsegP(X0,app(sk8,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_63065,c_400]) ).
tcf(c_63854,plain,
( ( app(skaf46(app(sk8,app(sk8,sk8)),sk8),sk8) = app(sk8,app(sk8,sk8)) )
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_63065,c_378]) ).
tcf(c_63855,plain,
( ( app(sk8,app(sk8,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ rearsegP(sk8,app(sk8,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_63065,c_375]) ).
tcf(c_63856,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ rearsegP(X0,app(sk8,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63853,c_6482]) ).
tcf(c_63862,plain,
( ( app(sk8,app(sk8,sk8)) = sk8 )
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ rearsegP(sk8,app(sk8,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63855,c_6482]) ).
tcf(c_63867,plain,
( ( app(skaf46(app(sk8,app(sk8,sk8)),sk8),sk8) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63854,c_6482]) ).
tcf(c_63876,plain,
! [X0: $i] :
( frontsegP(X0,app(sk8,sk8))
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ frontsegP(X0,app(sk8,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_62314,c_401]) ).
tcf(c_63877,plain,
( ( app(app(sk8,sk8),skaf45(app(sk8,app(sk8,sk4)),app(sk8,sk8))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_62314,c_379]) ).
tcf(c_63878,plain,
( ( app(sk8,app(sk8,sk4)) = app(sk8,sk8) )
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ frontsegP(app(sk8,sk8),app(sk8,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_62314,c_376]) ).
tcf(c_63892,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk6,skaf43(X0,X1)) = nil )
| ( cons(sk6,skaf43(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk6,skaf43(X0,X1)))
| ( skaf43(X0,X1) != tl(X2) )
| ( hd(cons(sk6,skaf43(X0,X1))) != hd(X2) ) ),
inference(superposition,[status(thm)],[c_10337,c_424]) ).
tcf(c_63895,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk6,skaf43(X0,X1)) = nil )
| ( cons(sk6,skaf43(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk6,skaf43(X0,X1)))
| ( hd(X2) != sk6 )
| ( skaf43(X0,X1) != tl(X2) ) ),
inference(light_normalisation,[status(thm)],[c_63892,c_11250]) ).
tcf(c_63919,plain,
tl(cons(skac3,sk4)) = sk4,
inference(superposition,[status(thm)],[c_6486,c_9890]) ).
tcf(c_63920,plain,
tl(cons(skac3,sk7)) = sk7,
inference(superposition,[status(thm)],[c_6483,c_9890]) ).
tcf(c_63921,plain,
tl(cons(skac3,sk8)) = sk8,
inference(superposition,[status(thm)],[c_6482,c_9890]) ).
tcf(c_63922,plain,
tl(cons(skac3,nil)) = nil,
inference(superposition,[status(thm)],[c_255,c_9890]) ).
tcf(c_63923,plain,
! [X0: $i] : tl(cons(skac3,skaf82(X0))) = skaf82(X0),
inference(superposition,[status(thm)],[c_260,c_9890]) ).
tcf(c_63924,plain,
! [X0: $i] : tl(cons(skac3,skaf81(X0))) = skaf81(X0),
inference(superposition,[status(thm)],[c_261,c_9890]) ).
tcf(c_63925,plain,
! [X0: $i] : tl(cons(skac3,skaf80(X0))) = skaf80(X0),
inference(superposition,[status(thm)],[c_262,c_9890]) ).
tcf(c_63926,plain,
! [X0: $i] : tl(cons(skac3,skaf77(X0))) = skaf77(X0),
inference(superposition,[status(thm)],[c_265,c_9890]) ).
tcf(c_63927,plain,
! [X0: $i] : tl(cons(skac3,skaf76(X0))) = skaf76(X0),
inference(superposition,[status(thm)],[c_266,c_9890]) ).
tcf(c_63928,plain,
! [X0: $i] : tl(cons(skac3,skaf75(X0))) = skaf75(X0),
inference(superposition,[status(thm)],[c_267,c_9890]) ).
tcf(c_63929,plain,
! [X0: $i] : tl(cons(skac3,skaf73(X0))) = skaf73(X0),
inference(superposition,[status(thm)],[c_269,c_9890]) ).
tcf(c_63930,plain,
! [X0: $i] : tl(cons(skac3,skaf72(X0))) = skaf72(X0),
inference(superposition,[status(thm)],[c_270,c_9890]) ).
tcf(c_63931,plain,
! [X0: $i] : tl(cons(skac3,skaf71(X0))) = skaf71(X0),
inference(superposition,[status(thm)],[c_271,c_9890]) ).
tcf(c_63932,plain,
! [X0: $i] : tl(cons(skac3,skaf68(X0))) = skaf68(X0),
inference(superposition,[status(thm)],[c_274,c_9890]) ).
tcf(c_63933,plain,
! [X0: $i] : tl(cons(skac3,skaf67(X0))) = skaf67(X0),
inference(superposition,[status(thm)],[c_275,c_9890]) ).
tcf(c_63934,plain,
! [X0: $i] : tl(cons(skac3,skaf66(X0))) = skaf66(X0),
inference(superposition,[status(thm)],[c_276,c_9890]) ).
tcf(c_63935,plain,
! [X0: $i] : tl(cons(skac3,skaf63(X0))) = skaf63(X0),
inference(superposition,[status(thm)],[c_279,c_9890]) ).
tcf(c_63936,plain,
! [X0: $i] : tl(cons(skac3,skaf62(X0))) = skaf62(X0),
inference(superposition,[status(thm)],[c_280,c_9890]) ).
tcf(c_63937,plain,
! [X0: $i] : tl(cons(skac3,skaf61(X0))) = skaf61(X0),
inference(superposition,[status(thm)],[c_281,c_9890]) ).
tcf(c_63938,plain,
! [X0: $i] : tl(cons(skac3,skaf58(X0))) = skaf58(X0),
inference(superposition,[status(thm)],[c_284,c_9890]) ).
tcf(c_63939,plain,
! [X0: $i] : tl(cons(skac3,skaf57(X0))) = skaf57(X0),
inference(superposition,[status(thm)],[c_285,c_9890]) ).
tcf(c_63940,plain,
! [X0: $i] : tl(cons(skac3,skaf56(X0))) = skaf56(X0),
inference(superposition,[status(thm)],[c_286,c_9890]) ).
tcf(c_63941,plain,
! [X0: $i] : tl(cons(skac3,skaf53(X0))) = skaf53(X0),
inference(superposition,[status(thm)],[c_289,c_9890]) ).
tcf(c_63942,plain,
! [X0: $i] : tl(cons(skac3,skaf52(X0))) = skaf52(X0),
inference(superposition,[status(thm)],[c_290,c_9890]) ).
tcf(c_63943,plain,
! [X0: $i] : tl(cons(skac3,skaf51(X0))) = skaf51(X0),
inference(superposition,[status(thm)],[c_291,c_9890]) ).
tcf(c_63944,plain,
! [X0: $i,X1: $i] : tl(cons(skac3,skaf48(X0,X1))) = skaf48(X0,X1),
inference(superposition,[status(thm)],[c_295,c_9890]) ).
tcf(c_63945,plain,
! [X0: $i,X1: $i] : tl(cons(skac3,skaf47(X0,X1))) = skaf47(X0,X1),
inference(superposition,[status(thm)],[c_296,c_9890]) ).
tcf(c_63946,plain,
! [X0: $i,X1: $i] : tl(cons(skac3,skaf46(X0,X1))) = skaf46(X0,X1),
inference(superposition,[status(thm)],[c_297,c_9890]) ).
tcf(c_63947,plain,
! [X0: $i,X1: $i] : tl(cons(skac3,skaf45(X0,X1))) = skaf45(X0,X1),
inference(superposition,[status(thm)],[c_298,c_9890]) ).
tcf(c_63948,plain,
! [X0: $i,X1: $i] : tl(cons(skac3,skaf43(X0,X1))) = skaf43(X0,X1),
inference(superposition,[status(thm)],[c_299,c_9890]) ).
tcf(c_63949,plain,
! [X0: $i,X1: $i] : tl(cons(skac3,skaf42(X0,X1))) = skaf42(X0,X1),
inference(superposition,[status(thm)],[c_300,c_9890]) ).
tcf(c_63950,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(skac3,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_9890]) ).
tcf(c_63951,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skac3,app(X1,X0))) = app(X1,X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_9890]) ).
tcf(c_63952,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skac3,cons(X1,X0))) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_9890]) ).
tcf(c_63953,plain,
tl(cons(skac3,iPr_def_16)) = iPr_def_16,
inference(superposition,[status(thm)],[c_9020,c_9890]) ).
tcf(c_63954,plain,
tl(cons(skac3,iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_9527,c_9890]) ).
tcf(c_63955,plain,
tl(cons(skac3,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_9489,c_9890]) ).
tcf(c_63956,plain,
tl(cons(skac3,iPr_def_15)) = iPr_def_15,
inference(superposition,[status(thm)],[c_24748,c_9890]) ).
tcf(c_63957,plain,
tl(cons(skac3,iPr_def_14)) = iPr_def_14,
inference(superposition,[status(thm)],[c_9488,c_9890]) ).
tcf(c_63958,plain,
tl(cons(skac3,cons(sk6,sk4))) = cons(sk6,sk4),
inference(superposition,[status(thm)],[c_28942,c_9890]) ).
tcf(c_63959,plain,
tl(cons(skac3,cons(sk6,sk7))) = cons(sk6,sk7),
inference(superposition,[status(thm)],[c_28940,c_9890]) ).
tcf(c_63960,plain,
tl(cons(skac3,cons(sk6,sk8))) = cons(sk6,sk8),
inference(superposition,[status(thm)],[c_28938,c_9890]) ).
tcf(c_63961,plain,
( ( tl(cons(skac3,app(sk4,app(sk4,sk4)))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_9890]) ).
tcf(c_63962,plain,
( ( tl(cons(skac3,app(sk4,app(sk4,sk7)))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_9890]) ).
tcf(c_63963,plain,
( ( tl(cons(skac3,app(sk4,app(sk4,sk8)))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_9890]) ).
tcf(c_63964,plain,
( ( tl(cons(skac3,app(sk7,app(sk4,sk4)))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_9890]) ).
tcf(c_63965,plain,
( ( tl(cons(skac3,app(sk7,app(sk4,sk7)))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_9890]) ).
tcf(c_63966,plain,
( ( tl(cons(skac3,app(sk7,app(sk4,sk8)))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_9890]) ).
tcf(c_63967,plain,
( ( tl(cons(skac3,app(sk8,app(sk4,sk4)))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_9890]) ).
tcf(c_63968,plain,
( ( tl(cons(skac3,app(sk8,app(sk4,sk7)))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_9890]) ).
tcf(c_63969,plain,
( ( tl(cons(skac3,app(sk8,app(sk4,sk8)))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_9890]) ).
tcf(c_63970,plain,
( ( tl(cons(skac3,app(sk4,app(sk7,sk4)))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_9890]) ).
tcf(c_63971,plain,
( ( tl(cons(skac3,app(sk4,app(sk7,sk7)))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_9890]) ).
tcf(c_63972,plain,
( ( tl(cons(skac3,app(sk4,app(sk7,sk8)))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_9890]) ).
tcf(c_63973,plain,
( ( tl(cons(skac3,app(sk7,app(sk7,sk4)))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_9890]) ).
tcf(c_63974,plain,
( ( tl(cons(skac3,app(sk7,app(sk7,sk7)))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_9890]) ).
tcf(c_63975,plain,
( ( tl(cons(skac3,app(sk7,app(sk7,sk8)))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_9890]) ).
tcf(c_63976,plain,
( ( tl(cons(skac3,app(sk8,app(sk7,sk4)))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_9890]) ).
tcf(c_63977,plain,
( ( tl(cons(skac3,app(sk8,app(sk7,sk7)))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_9890]) ).
tcf(c_63978,plain,
( ( tl(cons(skac3,app(sk8,app(sk7,sk8)))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_9890]) ).
tcf(c_63979,plain,
( ( tl(cons(skac3,app(sk4,app(sk8,sk4)))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_9890]) ).
tcf(c_63980,plain,
( ( tl(cons(skac3,app(sk4,app(sk8,sk7)))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_9890]) ).
tcf(c_63981,plain,
( ( tl(cons(skac3,app(sk4,app(sk8,sk8)))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_9890]) ).
tcf(c_63982,plain,
( ( tl(cons(skac3,app(sk7,app(sk8,sk4)))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_9890]) ).
tcf(c_63983,plain,
( ( tl(cons(skac3,app(sk7,app(sk8,sk7)))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_9890]) ).
tcf(c_63984,plain,
( ( tl(cons(skac3,app(sk7,app(sk8,sk8)))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_9890]) ).
tcf(c_63985,plain,
( ( tl(cons(skac3,app(sk8,app(sk8,sk4)))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_9890]) ).
tcf(c_63986,plain,
( ( tl(cons(skac3,app(sk8,app(sk8,sk7)))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_9890]) ).
tcf(c_63987,plain,
( ( tl(cons(skac3,app(sk8,app(sk8,sk8)))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_9890]) ).
tcf(c_64178,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac3,sk4) = nil )
| ( cons(skac3,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac3,sk4))
| ( tl(X0) != sk4 )
| ( hd(cons(skac3,sk4)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_63919,c_424]) ).
tcf(c_64188,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac3,sk7) = nil )
| ( cons(skac3,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac3,sk7))
| ( tl(X0) != sk7 )
| ( hd(cons(skac3,sk7)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_63920,c_424]) ).
tcf(c_64198,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac3,sk8) = nil )
| ( cons(skac3,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac3,sk8))
| ( tl(X0) != sk8 )
| ( hd(cons(skac3,sk8)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_63921,c_424]) ).
tcf(c_64208,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac3,nil) = nil )
| ( cons(skac3,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac3,nil))
| ( tl(X0) != nil )
| ( hd(cons(skac3,nil)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_63922,c_424]) ).
tcf(c_64222,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ segmentP(X0,app(sk8,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_62321,c_399]) ).
tcf(c_64223,plain,
( ( app(app(skaf47(app(sk8,app(sk8,sk4)),sk8),sk8),skaf48(sk8,app(sk8,app(sk8,sk4)))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_62321,c_415]) ).
tcf(c_64224,plain,
( ( app(sk8,app(sk8,sk4)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk8,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_62321,c_374]) ).
tcf(c_64225,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ segmentP(X0,app(sk8,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64222,c_6482]) ).
tcf(c_64230,plain,
( ( app(sk8,app(sk8,sk4)) = sk8 )
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk8,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64224,c_6482]) ).
tcf(c_64234,plain,
( ( app(app(skaf47(app(sk8,app(sk8,sk4)),sk8),sk8),skaf48(sk8,app(sk8,app(sk8,sk4)))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64223,c_6482]) ).
tcf(c_64244,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X1)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ segmentP(X0,app(sk8,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_62324,c_399]) ).
tcf(c_64245,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk8,app(sk8,sk4)),X0),X0),skaf48(X0,app(sk8,app(sk8,sk4)))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk8,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_62324,c_415]) ).
tcf(c_64246,plain,
! [X0: $i] :
( ( app(sk8,app(sk8,sk4)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ segmentP(X0,app(sk8,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_62324,c_374]) ).
tcf(c_64247,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk8,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_62324,c_27069]) ).
tcf(c_64250,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk8,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_62324,c_27109]) ).
tcf(c_64251,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk7)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk8,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64250,c_24748]) ).
tcf(c_64255,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk7)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk8,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64247,c_9527]) ).
tcf(c_64280,plain,
! [X0: $i] :
( frontsegP(X0,app(sk8,sk8))
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ frontsegP(X0,app(sk8,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_62725,c_401]) ).
tcf(c_64281,plain,
( ( app(app(sk8,sk8),skaf45(app(sk8,app(sk8,sk7)),app(sk8,sk8))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_62725,c_379]) ).
tcf(c_64282,plain,
( ( app(sk8,app(sk8,sk7)) = app(sk8,sk8) )
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ frontsegP(app(sk8,sk8),app(sk8,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_62725,c_376]) ).
tcf(c_64300,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ segmentP(X0,app(sk8,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_62732,c_399]) ).
tcf(c_64301,plain,
( ( app(app(skaf47(app(sk8,app(sk8,sk7)),sk8),sk8),skaf48(sk8,app(sk8,app(sk8,sk7)))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_62732,c_415]) ).
tcf(c_64302,plain,
( ( app(sk8,app(sk8,sk7)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk8,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_62732,c_374]) ).
tcf(c_64303,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ segmentP(X0,app(sk8,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64300,c_6482]) ).
tcf(c_64308,plain,
( ( app(sk8,app(sk8,sk7)) = sk8 )
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk8,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64302,c_6482]) ).
tcf(c_64312,plain,
( ( app(app(skaf47(app(sk8,app(sk8,sk7)),sk8),sk8),skaf48(sk8,app(sk8,app(sk8,sk7)))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64301,c_6482]) ).
tcf(c_64322,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X1)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ segmentP(X0,app(sk8,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_62735,c_399]) ).
tcf(c_64323,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk8,app(sk8,sk7)),X0),X0),skaf48(X0,app(sk8,app(sk8,sk7)))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk8,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_62735,c_415]) ).
tcf(c_64324,plain,
! [X0: $i] :
( ( app(sk8,app(sk8,sk7)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ segmentP(X0,app(sk8,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_62735,c_374]) ).
tcf(c_64325,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk8,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_62735,c_27069]) ).
tcf(c_64328,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk8,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_62735,c_27109]) ).
tcf(c_64329,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk7)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk8,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64328,c_24748]) ).
tcf(c_64333,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk7)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk8,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64325,c_9527]) ).
tcf(c_64406,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ segmentP(X0,app(sk8,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_63069,c_399]) ).
tcf(c_64407,plain,
( ( app(app(skaf47(app(sk8,app(sk8,sk8)),sk8),sk8),skaf48(sk8,app(sk8,app(sk8,sk8)))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_63069,c_415]) ).
tcf(c_64408,plain,
( ( app(sk8,app(sk8,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk8,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_63069,c_374]) ).
tcf(c_64409,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ segmentP(X0,app(sk8,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64406,c_6482]) ).
tcf(c_64414,plain,
( ( app(sk8,app(sk8,sk8)) = sk8 )
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk8,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64408,c_6482]) ).
tcf(c_64418,plain,
( ( app(app(skaf47(app(sk8,app(sk8,sk8)),sk8),sk8),skaf48(sk8,app(sk8,app(sk8,sk8)))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64407,c_6482]) ).
tcf(c_64428,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X1)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ segmentP(X0,app(sk8,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_63072,c_399]) ).
tcf(c_64429,plain,
! [X0: $i] :
( ( app(app(skaf47(app(sk8,app(sk8,sk8)),X0),X0),skaf48(X0,app(sk8,app(sk8,sk8)))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk8,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_63072,c_415]) ).
tcf(c_64430,plain,
! [X0: $i] :
( ( app(sk8,app(sk8,sk8)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ segmentP(X0,app(sk8,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_63072,c_374]) ).
tcf(c_64431,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk8,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_63072,c_27069]) ).
tcf(c_64434,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk8,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_63072,c_27109]) ).
tcf(c_64435,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk7)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(app(sk8,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64434,c_24748]) ).
tcf(c_64439,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk7)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(app(sk8,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64431,c_9527]) ).
tcf(c_64464,plain,
! [X0: $i] :
( frontsegP(X0,app(sk8,sk8))
| ~ ssList(X0)
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ frontsegP(X0,app(sk8,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_63076,c_401]) ).
tcf(c_64465,plain,
( ( app(app(sk8,sk8),skaf45(app(sk8,app(sk8,sk8)),app(sk8,sk8))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_63076,c_379]) ).
tcf(c_64466,plain,
( ( app(sk8,app(sk8,sk8)) = app(sk8,sk8) )
| ~ ssList(app(sk8,sk8))
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ frontsegP(app(sk8,sk8),app(sk8,app(sk8,sk8))) ),
inference(superposition,[status(thm)],[c_63076,c_376]) ).
tcf(c_64616,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk6,skaf42(X0,X1)) = nil )
| ( cons(sk6,skaf42(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk6,skaf42(X0,X1)))
| ( skaf42(X0,X1) != tl(X2) )
| ( hd(cons(sk6,skaf42(X0,X1))) != hd(X2) ) ),
inference(superposition,[status(thm)],[c_10338,c_424]) ).
tcf(c_64619,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = nil )
| ( cons(sk6,skaf42(X0,X1)) = nil )
| ( cons(sk6,skaf42(X0,X1)) = X2 )
| ~ ssList(X2)
| ~ ssList(cons(sk6,skaf42(X0,X1)))
| ( hd(X2) != sk6 )
| ( skaf42(X0,X1) != tl(X2) ) ),
inference(light_normalisation,[status(thm)],[c_64616,c_11251]) ).
tcf(c_64627,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac3,iPr_def_16) = nil )
| ( cons(skac3,iPr_def_16) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac3,iPr_def_16))
| ( tl(X0) != iPr_def_16 )
| ( hd(cons(skac3,iPr_def_16)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_63953,c_424]) ).
tcf(c_64639,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf82(X0)) = nil )
| ( cons(skac3,skaf82(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf82(X0)))
| ( skaf82(X0) != tl(X1) )
| ( hd(cons(skac3,skaf82(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63923,c_424]) ).
tcf(c_64649,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf81(X0)) = nil )
| ( cons(skac3,skaf81(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf81(X0)))
| ( skaf81(X0) != tl(X1) )
| ( hd(cons(skac3,skaf81(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63924,c_424]) ).
tcf(c_64659,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf80(X0)) = nil )
| ( cons(skac3,skaf80(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf80(X0)))
| ( skaf80(X0) != tl(X1) )
| ( hd(cons(skac3,skaf80(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63925,c_424]) ).
tcf(c_64669,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac3,iPr_def_13) = nil )
| ( cons(skac3,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac3,iPr_def_13))
| ( tl(X0) != iPr_def_13 )
| ( hd(cons(skac3,iPr_def_13)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_63954,c_424]) ).
tcf(c_64679,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac3,iPr_def_12) = nil )
| ( cons(skac3,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac3,iPr_def_12))
| ( tl(X0) != iPr_def_12 )
| ( hd(cons(skac3,iPr_def_12)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_63955,c_424]) ).
tcf(c_64689,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac3,iPr_def_15) = nil )
| ( cons(skac3,iPr_def_15) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac3,iPr_def_15))
| ( tl(X0) != iPr_def_15 )
| ( hd(cons(skac3,iPr_def_15)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_63956,c_424]) ).
tcf(c_64699,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac3,iPr_def_14) = nil )
| ( cons(skac3,iPr_def_14) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac3,iPr_def_14))
| ( tl(X0) != iPr_def_14 )
| ( hd(cons(skac3,iPr_def_14)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_63957,c_424]) ).
tcf(c_64777,plain,
! [X0: $i] :
( ( cons(sk5,app(X0,sk4)) = app(cons(sk5,X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6485,c_16529]) ).
tcf(c_64778,plain,
! [X0: $i] :
( ( cons(sk6,app(X0,sk4)) = app(cons(sk6,X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6484,c_16529]) ).
tcf(c_64779,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,sk4)) = app(cons(X1,X0),sk4) )
| ~ iPr_def_10
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6470,c_16529]) ).
tcf(c_64780,plain,
! [X0: $i] :
( ( cons(skac3,app(X0,sk4)) = app(cons(skac3,X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_256,c_16529]) ).
tcf(c_64781,plain,
! [X0: $i] :
( ( cons(skac2,app(X0,sk4)) = app(cons(skac2,X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_257,c_16529]) ).
tcf(c_64782,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf83(X1),app(X0,sk4)) = app(cons(skaf83(X1),X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_259,c_16529]) ).
tcf(c_64783,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf79(X1),app(X0,sk4)) = app(cons(skaf79(X1),X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_263,c_16529]) ).
tcf(c_64784,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf78(X1),app(X0,sk4)) = app(cons(skaf78(X1),X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_264,c_16529]) ).
tcf(c_64785,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf74(X1),app(X0,sk4)) = app(cons(skaf74(X1),X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_268,c_16529]) ).
tcf(c_64786,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf70(X1),app(X0,sk4)) = app(cons(skaf70(X1),X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_272,c_16529]) ).
tcf(c_64787,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf69(X1),app(X0,sk4)) = app(cons(skaf69(X1),X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_273,c_16529]) ).
tcf(c_64788,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf65(X1),app(X0,sk4)) = app(cons(skaf65(X1),X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_277,c_16529]) ).
tcf(c_64789,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf64(X1),app(X0,sk4)) = app(cons(skaf64(X1),X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_278,c_16529]) ).
tcf(c_64790,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf60(X1),app(X0,sk4)) = app(cons(skaf60(X1),X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_282,c_16529]) ).
tcf(c_64791,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf59(X1),app(X0,sk4)) = app(cons(skaf59(X1),X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_283,c_16529]) ).
tcf(c_64792,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf55(X1),app(X0,sk4)) = app(cons(skaf55(X1),X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_287,c_16529]) ).
tcf(c_64793,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf54(X1),app(X0,sk4)) = app(cons(skaf54(X1),X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_288,c_16529]) ).
tcf(c_64794,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf50(X1),app(X0,sk4)) = app(cons(skaf50(X1),X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_292,c_16529]) ).
tcf(c_64795,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf49(X1),app(X0,sk4)) = app(cons(skaf49(X1),X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_293,c_16529]) ).
tcf(c_64796,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf44(X1),app(X0,sk4)) = app(cons(skaf44(X1),X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_294,c_16529]) ).
tcf(c_64797,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( cons(hd(X0),app(X1,sk4)) = app(cons(hd(X0),X1),sk4) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_325,c_16529]) ).
tcf(c_64867,plain,
cons(sk5,app(sk4,sk4)) = app(cons(sk5,sk4),sk4),
inference(superposition,[status(thm)],[c_6486,c_64777]) ).
tcf(c_64868,plain,
cons(sk5,app(sk7,sk4)) = app(cons(sk5,sk7),sk4),
inference(superposition,[status(thm)],[c_6483,c_64777]) ).
tcf(c_64869,plain,
cons(sk5,app(sk8,sk4)) = app(cons(sk5,sk8),sk4),
inference(superposition,[status(thm)],[c_6482,c_64777]) ).
tcf(c_64870,plain,
cons(sk5,app(nil,sk4)) = app(cons(sk5,nil),sk4),
inference(superposition,[status(thm)],[c_255,c_64777]) ).
tcf(c_64871,plain,
! [X0: $i] : cons(sk5,app(skaf82(X0),sk4)) = app(cons(sk5,skaf82(X0)),sk4),
inference(superposition,[status(thm)],[c_260,c_64777]) ).
tcf(c_64872,plain,
! [X0: $i] : cons(sk5,app(skaf81(X0),sk4)) = app(cons(sk5,skaf81(X0)),sk4),
inference(superposition,[status(thm)],[c_261,c_64777]) ).
tcf(c_64873,plain,
! [X0: $i] : cons(sk5,app(skaf80(X0),sk4)) = app(cons(sk5,skaf80(X0)),sk4),
inference(superposition,[status(thm)],[c_262,c_64777]) ).
tcf(c_64874,plain,
! [X0: $i] : cons(sk5,app(skaf77(X0),sk4)) = app(cons(sk5,skaf77(X0)),sk4),
inference(superposition,[status(thm)],[c_265,c_64777]) ).
tcf(c_64875,plain,
! [X0: $i] : cons(sk5,app(skaf76(X0),sk4)) = app(cons(sk5,skaf76(X0)),sk4),
inference(superposition,[status(thm)],[c_266,c_64777]) ).
tcf(c_64876,plain,
! [X0: $i] : cons(sk5,app(skaf75(X0),sk4)) = app(cons(sk5,skaf75(X0)),sk4),
inference(superposition,[status(thm)],[c_267,c_64777]) ).
tcf(c_64877,plain,
! [X0: $i] : cons(sk5,app(skaf73(X0),sk4)) = app(cons(sk5,skaf73(X0)),sk4),
inference(superposition,[status(thm)],[c_269,c_64777]) ).
tcf(c_64878,plain,
! [X0: $i] : cons(sk5,app(skaf72(X0),sk4)) = app(cons(sk5,skaf72(X0)),sk4),
inference(superposition,[status(thm)],[c_270,c_64777]) ).
tcf(c_64879,plain,
! [X0: $i] : cons(sk5,app(skaf71(X0),sk4)) = app(cons(sk5,skaf71(X0)),sk4),
inference(superposition,[status(thm)],[c_271,c_64777]) ).
tcf(c_64880,plain,
! [X0: $i] : cons(sk5,app(skaf68(X0),sk4)) = app(cons(sk5,skaf68(X0)),sk4),
inference(superposition,[status(thm)],[c_274,c_64777]) ).
tcf(c_64881,plain,
! [X0: $i] : cons(sk5,app(skaf67(X0),sk4)) = app(cons(sk5,skaf67(X0)),sk4),
inference(superposition,[status(thm)],[c_275,c_64777]) ).
tcf(c_64882,plain,
! [X0: $i] : cons(sk5,app(skaf66(X0),sk4)) = app(cons(sk5,skaf66(X0)),sk4),
inference(superposition,[status(thm)],[c_276,c_64777]) ).
tcf(c_64883,plain,
! [X0: $i] : cons(sk5,app(skaf63(X0),sk4)) = app(cons(sk5,skaf63(X0)),sk4),
inference(superposition,[status(thm)],[c_279,c_64777]) ).
tcf(c_64884,plain,
! [X0: $i] : cons(sk5,app(skaf62(X0),sk4)) = app(cons(sk5,skaf62(X0)),sk4),
inference(superposition,[status(thm)],[c_280,c_64777]) ).
tcf(c_64885,plain,
! [X0: $i] : cons(sk5,app(skaf61(X0),sk4)) = app(cons(sk5,skaf61(X0)),sk4),
inference(superposition,[status(thm)],[c_281,c_64777]) ).
tcf(c_64886,plain,
! [X0: $i] : cons(sk5,app(skaf58(X0),sk4)) = app(cons(sk5,skaf58(X0)),sk4),
inference(superposition,[status(thm)],[c_284,c_64777]) ).
tcf(c_64887,plain,
! [X0: $i] : cons(sk5,app(skaf57(X0),sk4)) = app(cons(sk5,skaf57(X0)),sk4),
inference(superposition,[status(thm)],[c_285,c_64777]) ).
tcf(c_64888,plain,
! [X0: $i] : cons(sk5,app(skaf56(X0),sk4)) = app(cons(sk5,skaf56(X0)),sk4),
inference(superposition,[status(thm)],[c_286,c_64777]) ).
tcf(c_64889,plain,
! [X0: $i] : cons(sk5,app(skaf53(X0),sk4)) = app(cons(sk5,skaf53(X0)),sk4),
inference(superposition,[status(thm)],[c_289,c_64777]) ).
tcf(c_64890,plain,
! [X0: $i] : cons(sk5,app(skaf52(X0),sk4)) = app(cons(sk5,skaf52(X0)),sk4),
inference(superposition,[status(thm)],[c_290,c_64777]) ).
tcf(c_64891,plain,
! [X0: $i] : cons(sk5,app(skaf51(X0),sk4)) = app(cons(sk5,skaf51(X0)),sk4),
inference(superposition,[status(thm)],[c_291,c_64777]) ).
tcf(c_64892,plain,
! [X0: $i,X1: $i] : cons(sk5,app(skaf48(X0,X1),sk4)) = app(cons(sk5,skaf48(X0,X1)),sk4),
inference(superposition,[status(thm)],[c_295,c_64777]) ).
tcf(c_64893,plain,
! [X0: $i,X1: $i] : cons(sk5,app(skaf47(X0,X1),sk4)) = app(cons(sk5,skaf47(X0,X1)),sk4),
inference(superposition,[status(thm)],[c_296,c_64777]) ).
tcf(c_64894,plain,
! [X0: $i,X1: $i] : cons(sk5,app(skaf46(X0,X1),sk4)) = app(cons(sk5,skaf46(X0,X1)),sk4),
inference(superposition,[status(thm)],[c_297,c_64777]) ).
tcf(c_64895,plain,
! [X0: $i,X1: $i] : cons(sk5,app(skaf45(X0,X1),sk4)) = app(cons(sk5,skaf45(X0,X1)),sk4),
inference(superposition,[status(thm)],[c_298,c_64777]) ).
tcf(c_64896,plain,
! [X0: $i,X1: $i] : cons(sk5,app(skaf43(X0,X1),sk4)) = app(cons(sk5,skaf43(X0,X1)),sk4),
inference(superposition,[status(thm)],[c_299,c_64777]) ).
tcf(c_64897,plain,
! [X0: $i,X1: $i] : cons(sk5,app(skaf42(X0,X1),sk4)) = app(cons(sk5,skaf42(X0,X1)),sk4),
inference(superposition,[status(thm)],[c_300,c_64777]) ).
tcf(c_64898,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,app(tl(X0),sk4)) = app(cons(sk5,tl(X0)),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_64777]) ).
tcf(c_64899,plain,
! [X0: $i,X1: $i] :
( ( cons(sk5,app(app(X1,X0),sk4)) = app(cons(sk5,app(X1,X0)),sk4) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_64777]) ).
tcf(c_64900,plain,
! [X0: $i,X1: $i] :
( ( cons(sk5,app(cons(X1,X0),sk4)) = app(cons(sk5,cons(X1,X0)),sk4) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_64777]) ).
tcf(c_64901,plain,
cons(sk5,app(iPr_def_16,sk4)) = app(cons(sk5,iPr_def_16),sk4),
inference(superposition,[status(thm)],[c_9020,c_64777]) ).
tcf(c_64902,plain,
cons(sk5,app(iPr_def_13,sk4)) = app(cons(sk5,iPr_def_13),sk4),
inference(superposition,[status(thm)],[c_9527,c_64777]) ).
tcf(c_64903,plain,
cons(sk5,app(iPr_def_12,sk4)) = app(cons(sk5,iPr_def_12),sk4),
inference(superposition,[status(thm)],[c_9489,c_64777]) ).
tcf(c_64904,plain,
cons(sk5,app(iPr_def_15,sk4)) = app(cons(sk5,iPr_def_15),sk4),
inference(superposition,[status(thm)],[c_24748,c_64777]) ).
tcf(c_64905,plain,
cons(sk5,app(iPr_def_14,sk4)) = app(cons(sk5,iPr_def_14),sk4),
inference(superposition,[status(thm)],[c_9488,c_64777]) ).
tcf(c_64906,plain,
cons(sk5,app(cons(sk6,sk4),sk4)) = app(cons(sk5,cons(sk6,sk4)),sk4),
inference(superposition,[status(thm)],[c_28942,c_64777]) ).
tcf(c_64907,plain,
cons(sk5,app(cons(sk6,sk7),sk4)) = app(cons(sk5,cons(sk6,sk7)),sk4),
inference(superposition,[status(thm)],[c_28940,c_64777]) ).
tcf(c_64908,plain,
cons(sk5,app(cons(sk6,sk8),sk4)) = app(cons(sk5,cons(sk6,sk8)),sk4),
inference(superposition,[status(thm)],[c_28938,c_64777]) ).
tcf(c_64909,plain,
( ( cons(sk5,app(app(sk4,app(sk4,sk4)),sk4)) = app(cons(sk5,app(sk4,app(sk4,sk4))),sk4) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_64777]) ).
tcf(c_64910,plain,
( ( cons(sk5,app(app(sk4,app(sk4,sk7)),sk4)) = app(cons(sk5,app(sk4,app(sk4,sk7))),sk4) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_64777]) ).
tcf(c_64911,plain,
( ( cons(sk5,app(app(sk4,app(sk4,sk8)),sk4)) = app(cons(sk5,app(sk4,app(sk4,sk8))),sk4) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_64777]) ).
tcf(c_64912,plain,
( ( cons(sk5,app(app(sk7,app(sk4,sk4)),sk4)) = app(cons(sk5,app(sk7,app(sk4,sk4))),sk4) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_64777]) ).
tcf(c_64913,plain,
( ( cons(sk5,app(app(sk7,app(sk4,sk7)),sk4)) = app(cons(sk5,app(sk7,app(sk4,sk7))),sk4) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_64777]) ).
tcf(c_64914,plain,
( ( cons(sk5,app(app(sk7,app(sk4,sk8)),sk4)) = app(cons(sk5,app(sk7,app(sk4,sk8))),sk4) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_64777]) ).
tcf(c_64915,plain,
( ( cons(sk5,app(app(sk8,app(sk4,sk4)),sk4)) = app(cons(sk5,app(sk8,app(sk4,sk4))),sk4) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_64777]) ).
tcf(c_64916,plain,
( ( cons(sk5,app(app(sk8,app(sk4,sk7)),sk4)) = app(cons(sk5,app(sk8,app(sk4,sk7))),sk4) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_64777]) ).
tcf(c_64917,plain,
( ( cons(sk5,app(app(sk8,app(sk4,sk8)),sk4)) = app(cons(sk5,app(sk8,app(sk4,sk8))),sk4) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_64777]) ).
tcf(c_64918,plain,
( ( cons(sk5,app(app(sk4,app(sk7,sk4)),sk4)) = app(cons(sk5,app(sk4,app(sk7,sk4))),sk4) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_64777]) ).
tcf(c_64919,plain,
( ( cons(sk5,app(app(sk4,app(sk7,sk7)),sk4)) = app(cons(sk5,app(sk4,app(sk7,sk7))),sk4) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_64777]) ).
tcf(c_64920,plain,
( ( cons(sk5,app(app(sk4,app(sk7,sk8)),sk4)) = app(cons(sk5,app(sk4,app(sk7,sk8))),sk4) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_64777]) ).
tcf(c_64921,plain,
( ( cons(sk5,app(app(sk7,app(sk7,sk4)),sk4)) = app(cons(sk5,app(sk7,app(sk7,sk4))),sk4) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_64777]) ).
tcf(c_64922,plain,
( ( cons(sk5,app(app(sk7,app(sk7,sk7)),sk4)) = app(cons(sk5,app(sk7,app(sk7,sk7))),sk4) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_64777]) ).
tcf(c_64923,plain,
( ( cons(sk5,app(app(sk7,app(sk7,sk8)),sk4)) = app(cons(sk5,app(sk7,app(sk7,sk8))),sk4) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_64777]) ).
tcf(c_64924,plain,
( ( cons(sk5,app(app(sk8,app(sk7,sk4)),sk4)) = app(cons(sk5,app(sk8,app(sk7,sk4))),sk4) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_64777]) ).
tcf(c_64925,plain,
( ( cons(sk5,app(app(sk8,app(sk7,sk7)),sk4)) = app(cons(sk5,app(sk8,app(sk7,sk7))),sk4) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_64777]) ).
tcf(c_64926,plain,
( ( cons(sk5,app(app(sk8,app(sk7,sk8)),sk4)) = app(cons(sk5,app(sk8,app(sk7,sk8))),sk4) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_64777]) ).
tcf(c_64927,plain,
( ( cons(sk5,app(app(sk4,app(sk8,sk4)),sk4)) = app(cons(sk5,app(sk4,app(sk8,sk4))),sk4) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_64777]) ).
tcf(c_64928,plain,
( ( cons(sk5,app(app(sk4,app(sk8,sk7)),sk4)) = app(cons(sk5,app(sk4,app(sk8,sk7))),sk4) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_64777]) ).
tcf(c_64929,plain,
( ( cons(sk5,app(app(sk4,app(sk8,sk8)),sk4)) = app(cons(sk5,app(sk4,app(sk8,sk8))),sk4) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_64777]) ).
tcf(c_64930,plain,
( ( cons(sk5,app(app(sk7,app(sk8,sk4)),sk4)) = app(cons(sk5,app(sk7,app(sk8,sk4))),sk4) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_64777]) ).
tcf(c_64931,plain,
( ( cons(sk5,app(app(sk7,app(sk8,sk7)),sk4)) = app(cons(sk5,app(sk7,app(sk8,sk7))),sk4) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_64777]) ).
tcf(c_64932,plain,
( ( cons(sk5,app(app(sk7,app(sk8,sk8)),sk4)) = app(cons(sk5,app(sk7,app(sk8,sk8))),sk4) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_64777]) ).
tcf(c_64933,plain,
( ( cons(sk5,app(app(sk8,app(sk8,sk4)),sk4)) = app(cons(sk5,app(sk8,app(sk8,sk4))),sk4) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_64777]) ).
tcf(c_64934,plain,
( ( cons(sk5,app(app(sk8,app(sk8,sk7)),sk4)) = app(cons(sk5,app(sk8,app(sk8,sk7))),sk4) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_64777]) ).
tcf(c_64935,plain,
( ( cons(sk5,app(app(sk8,app(sk8,sk8)),sk4)) = app(cons(sk5,app(sk8,app(sk8,sk8))),sk4) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_64777]) ).
tcf(c_64936,plain,
cons(sk5,cons(sk6,sk4)) = app(cons(sk5,iPr_def_14),sk4),
inference(light_normalisation,[status(thm)],[c_64905,c_28958]) ).
tcf(c_64937,plain,
cons(sk5,sk4) = app(iPr_def_12,sk4),
inference(light_normalisation,[status(thm)],[c_64870,c_9196,c_32889]) ).
tcf(c_65141,plain,
( ssList(cons(sk5,app(sk4,sk4)))
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_64867,c_332]) ).
tcf(c_65142,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(app(cons(sk5,sk4),sk4),X0)) ),
inference(superposition,[status(thm)],[c_64867,c_420]) ).
tcf(c_65143,plain,
! [X0: $i] :
( ( cons(sk5,sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ( cons(sk5,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_64867,c_398]) ).
tcf(c_65145,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(cons(sk5,sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk4))
| ~ memberP(cons(sk5,app(sk4,sk4)),X0) ),
inference(superposition,[status(thm)],[c_64867,c_405]) ).
tcf(c_65146,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk4))
| ( cons(sk5,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_64867,c_366]) ).
tcf(c_65147,plain,
( ( cons(sk5,sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk4))
| ( cons(sk5,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_64867,c_365]) ).
tcf(c_65148,plain,
( frontsegP(cons(sk5,app(sk4,sk4)),cons(sk5,sk4))
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_64867,c_808]) ).
tcf(c_65149,plain,
( rearsegP(cons(sk5,app(sk4,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_64867,c_807]) ).
tcf(c_65150,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_64867,c_388]) ).
tcf(c_65151,plain,
! [X0: $i] :
( rearsegP(cons(sk5,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_64867,c_383]) ).
tcf(c_65152,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ( app(cons(sk5,sk4),X0) != cons(sk5,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_64867,c_397]) ).
tcf(c_65153,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk4))
| ~ memberP(cons(sk5,sk4),X0) ),
inference(superposition,[status(thm)],[c_64867,c_387]) ).
tcf(c_65154,plain,
! [X0: $i] :
( frontsegP(cons(sk5,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(cons(sk5,sk4),X0) ),
inference(superposition,[status(thm)],[c_64867,c_384]) ).
tcf(c_65155,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,app(sk4,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_64867,c_419]) ).
tcf(c_65156,plain,
( ( cons(sk5,sk4) = iPr_def_14 )
| ~ ssList(cons(sk5,sk4))
| ( cons(sk5,app(sk4,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_64867,c_51225]) ).
tcf(c_65157,plain,
( ( cons(sk5,sk4) = nil )
| ~ ssList(cons(sk5,sk4))
| ( cons(sk5,app(sk4,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_64867,c_17629]) ).
tcf(c_65158,plain,
( ssList(cons(sk5,app(sk4,sk4)))
| ~ ssList(cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65141,c_6486]) ).
tcf(c_65161,plain,
( rearsegP(cons(sk5,app(sk4,sk4)),sk4)
| ~ ssList(cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65149,c_6486]) ).
tcf(c_65164,plain,
( frontsegP(cons(sk5,app(sk4,sk4)),cons(sk5,sk4))
| ~ ssList(cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65148,c_6486]) ).
tcf(c_65170,plain,
( ( sk4 = nil )
| ~ ssList(cons(sk5,sk4))
| ( cons(sk5,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65146,c_6486]) ).
tcf(c_65177,plain,
! [X0: $i] :
( rearsegP(cons(sk5,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65151,c_6486]) ).
tcf(c_65182,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65150,c_6486]) ).
tcf(c_65187,plain,
( ( cons(sk5,sk4) = nil )
| ~ ssList(cons(sk5,sk4))
| ( cons(sk5,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65147,c_6486]) ).
tcf(c_65191,plain,
! [X0: $i] :
( frontsegP(cons(sk5,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(cons(sk5,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65154,c_6486]) ).
tcf(c_65196,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk4))
| ~ memberP(cons(sk5,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65153,c_6486]) ).
tcf(c_65201,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,app(sk4,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65155,c_6486]) ).
tcf(c_65207,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(cons(sk5,sk4),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk4))
| ~ memberP(cons(sk5,app(sk4,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65145,c_6486]) ).
tcf(c_65213,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ( app(cons(sk5,sk4),X0) != cons(sk5,app(sk4,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65152,c_6486]) ).
tcf(c_65218,plain,
! [X0: $i] :
( ( cons(sk5,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ( cons(sk5,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65143,c_6486]) ).
tcf(c_65223,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(cons(sk5,app(sk4,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_65142,c_64867]) ).
tcf(c_65224,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk4,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(cons(sk5,app(sk4,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65223,c_6486]) ).
tcf(c_65242,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk4,sk4)),sk8),X0) = app(cons(sk5,app(sk4,sk4)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_16217]) ).
tcf(c_65243,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk4,sk4)),sk7),X0) = app(cons(sk5,app(sk4,sk4)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_16216]) ).
tcf(c_65244,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk4,sk4)),sk4),X0) = app(cons(sk5,app(sk4,sk4)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_16215]) ).
tcf(c_65245,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk5,app(sk4,sk4)))) = app(cons(X1,X0),cons(sk5,app(sk4,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_404]) ).
tcf(c_65246,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk5,app(sk4,sk4))),X0) = app(X1,app(cons(sk5,app(sk4,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_396]) ).
tcf(c_65247,plain,
! [X0: $i] :
( ( cons(sk5,app(sk4,sk4)) = nil )
| ( app(tl(cons(sk5,app(sk4,sk4))),X0) = tl(app(cons(sk5,app(sk4,sk4)),X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_380]) ).
tcf(c_65248,plain,
! [X0: $i] :
( ( cons(sk5,app(sk4,sk4)) = nil )
| ( hd(app(cons(sk5,app(sk4,sk4)),X0)) = hd(cons(sk5,app(sk4,sk4))) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_370]) ).
tcf(c_65249,plain,
( ( cons(sk5,app(cons(sk5,app(sk4,sk4)),sk4)) = app(cons(sk5,cons(sk5,app(sk4,sk4))),sk4) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_64777]) ).
tcf(c_65250,plain,
( ( tl(cons(skac3,cons(sk5,app(sk4,sk4)))) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_9890]) ).
tcf(c_65251,plain,
( ( app(app(sk8,sk8),cons(sk5,app(sk4,sk4))) = app(sk8,app(sk8,cons(sk5,app(sk4,sk4)))) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_56349]) ).
tcf(c_65252,plain,
( ( app(app(sk7,sk8),cons(sk5,app(sk4,sk4))) = app(sk7,app(sk8,cons(sk5,app(sk4,sk4)))) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_56348]) ).
tcf(c_65253,plain,
( ( app(app(sk4,sk8),cons(sk5,app(sk4,sk4))) = app(sk4,app(sk8,cons(sk5,app(sk4,sk4)))) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_56347]) ).
tcf(c_65254,plain,
( ( app(app(sk8,sk7),cons(sk5,app(sk4,sk4))) = app(sk8,app(sk7,cons(sk5,app(sk4,sk4)))) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_45540]) ).
tcf(c_65255,plain,
( ( app(app(sk7,sk7),cons(sk5,app(sk4,sk4))) = app(sk7,app(sk7,cons(sk5,app(sk4,sk4)))) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_45539]) ).
tcf(c_65256,plain,
( ( app(app(sk4,sk7),cons(sk5,app(sk4,sk4))) = app(sk4,app(sk7,cons(sk5,app(sk4,sk4)))) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_45538]) ).
tcf(c_65257,plain,
( ( app(app(sk8,sk4),cons(sk5,app(sk4,sk4))) = app(sk8,app(sk4,cons(sk5,app(sk4,sk4)))) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_37633]) ).
tcf(c_65258,plain,
( ( app(app(sk7,sk4),cons(sk5,app(sk4,sk4))) = app(sk7,app(sk4,cons(sk5,app(sk4,sk4)))) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_37632]) ).
tcf(c_65259,plain,
( ( app(app(sk4,sk4),cons(sk5,app(sk4,sk4))) = app(sk4,app(sk4,cons(sk5,app(sk4,sk4)))) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_37631]) ).
tcf(c_65260,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk5,app(sk4,sk4))) = tl(app(sk8,cons(sk5,app(sk4,sk4)))) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_14611]) ).
tcf(c_65261,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk5,app(sk4,sk4))) = tl(app(sk7,cons(sk5,app(sk4,sk4)))) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_14610]) ).
tcf(c_65262,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk5,app(sk4,sk4))) = tl(app(sk4,cons(sk5,app(sk4,sk4)))) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_14609]) ).
tcf(c_65263,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk5,app(sk4,sk4)))) = hd(sk8) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_11903]) ).
tcf(c_65264,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk5,app(sk4,sk4)))) = hd(sk7) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_11902]) ).
tcf(c_65265,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk5,app(sk4,sk4)))) = hd(sk4) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_11901]) ).
tcf(c_65266,plain,
( cyclefreeP(cons(sk5,app(sk4,sk4)))
| ( app(app(skaf51(cons(sk5,app(sk4,sk4))),cons(skaf49(cons(sk5,app(sk4,sk4))),skaf52(cons(sk5,app(sk4,sk4))))),cons(skaf50(cons(sk5,app(sk4,sk4))),skaf53(cons(sk5,app(sk4,sk4))))) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_414]) ).
tcf(c_65267,plain,
( totalorderP(cons(sk5,app(sk4,sk4)))
| ( app(app(skaf56(cons(sk5,app(sk4,sk4))),cons(skaf54(cons(sk5,app(sk4,sk4))),skaf57(cons(sk5,app(sk4,sk4))))),cons(skaf55(cons(sk5,app(sk4,sk4))),skaf58(cons(sk5,app(sk4,sk4))))) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_413]) ).
tcf(c_65268,plain,
( strictorderP(cons(sk5,app(sk4,sk4)))
| ( app(app(skaf61(cons(sk5,app(sk4,sk4))),cons(skaf59(cons(sk5,app(sk4,sk4))),skaf62(cons(sk5,app(sk4,sk4))))),cons(skaf60(cons(sk5,app(sk4,sk4))),skaf63(cons(sk5,app(sk4,sk4))))) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_412]) ).
tcf(c_65269,plain,
( totalorderedP(cons(sk5,app(sk4,sk4)))
| ( app(app(skaf66(cons(sk5,app(sk4,sk4))),cons(skaf64(cons(sk5,app(sk4,sk4))),skaf67(cons(sk5,app(sk4,sk4))))),cons(skaf65(cons(sk5,app(sk4,sk4))),skaf68(cons(sk5,app(sk4,sk4))))) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_411]) ).
tcf(c_65270,plain,
( strictorderedP(cons(sk5,app(sk4,sk4)))
| ( app(app(skaf71(cons(sk5,app(sk4,sk4))),cons(skaf69(cons(sk5,app(sk4,sk4))),skaf72(cons(sk5,app(sk4,sk4))))),cons(skaf70(cons(sk5,app(sk4,sk4))),skaf73(cons(sk5,app(sk4,sk4))))) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_410]) ).
tcf(c_65271,plain,
( duplicatefreeP(cons(sk5,app(sk4,sk4)))
| ( app(app(skaf75(cons(sk5,app(sk4,sk4))),cons(skaf74(cons(sk5,app(sk4,sk4))),skaf76(cons(sk5,app(sk4,sk4))))),cons(skaf74(cons(sk5,app(sk4,sk4))),skaf77(cons(sk5,app(sk4,sk4))))) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_409]) ).
tcf(c_65272,plain,
( equalelemsP(cons(sk5,app(sk4,sk4)))
| ( app(skaf80(cons(sk5,app(sk4,sk4))),cons(skaf78(cons(sk5,app(sk4,sk4))),cons(skaf79(cons(sk5,app(sk4,sk4))),skaf81(cons(sk5,app(sk4,sk4)))))) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_389]) ).
tcf(c_65273,plain,
( ( hd(cons(sk6,cons(sk5,app(sk4,sk4)))) = sk6 )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_10017]) ).
tcf(c_65274,plain,
( ( cons(sk5,app(sk4,sk4)) = nil )
| ( cons(skaf83(cons(sk5,app(sk4,sk4))),skaf82(cons(sk5,app(sk4,sk4)))) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_356]) ).
tcf(c_65275,plain,
( ( cons(sk5,app(sk4,sk4)) = nil )
| ( cons(hd(cons(sk5,app(sk4,sk4))),tl(cons(sk5,app(sk4,sk4)))) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_351]) ).
tcf(c_65276,plain,
( ( hd(cons(sk5,cons(sk5,app(sk4,sk4)))) = sk5 )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_10016]) ).
tcf(c_65277,plain,
( ( tl(cons(sk6,cons(sk5,app(sk4,sk4)))) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_9887]) ).
tcf(c_65278,plain,
( ( tl(cons(sk5,cons(sk5,app(sk4,sk4)))) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_9886]) ).
tcf(c_65279,plain,
( duplicatefreeP(cons(sk5,app(sk4,sk4)))
| ~ iPr_def_11
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_6471]) ).
tcf(c_65280,plain,
( ( app(nil,cons(sk5,app(sk4,sk4))) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_321]) ).
tcf(c_65281,plain,
( ( app(cons(sk5,app(sk4,sk4)),nil) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_65158,c_320]) ).
tcf(c_65634,plain,
( ssList(cons(sk5,app(sk7,sk4)))
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_64868,c_332]) ).
tcf(c_65635,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk7,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(app(cons(sk5,sk7),sk4),X0)) ),
inference(superposition,[status(thm)],[c_64868,c_420]) ).
tcf(c_65636,plain,
! [X0: $i] :
( ( cons(sk5,sk7) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_64868,c_398]) ).
tcf(c_65638,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(cons(sk5,sk7),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk7))
| ~ memberP(cons(sk5,app(sk7,sk4)),X0) ),
inference(superposition,[status(thm)],[c_64868,c_405]) ).
tcf(c_65639,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_64868,c_366]) ).
tcf(c_65640,plain,
( ( cons(sk5,sk7) = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_64868,c_365]) ).
tcf(c_65641,plain,
( frontsegP(cons(sk5,app(sk7,sk4)),cons(sk5,sk7))
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_64868,c_808]) ).
tcf(c_65642,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_64868,c_807]) ).
tcf(c_65643,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_64868,c_388]) ).
tcf(c_65644,plain,
! [X0: $i] :
( rearsegP(cons(sk5,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_64868,c_383]) ).
tcf(c_65645,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ( app(cons(sk5,sk7),X0) != cons(sk5,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_64868,c_397]) ).
tcf(c_65646,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk7))
| ~ memberP(cons(sk5,sk7),X0) ),
inference(superposition,[status(thm)],[c_64868,c_387]) ).
tcf(c_65647,plain,
! [X0: $i] :
( frontsegP(cons(sk5,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(cons(sk5,sk7),X0) ),
inference(superposition,[status(thm)],[c_64868,c_384]) ).
tcf(c_65648,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,app(sk7,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_64868,c_419]) ).
tcf(c_65649,plain,
( ( cons(sk5,sk7) = iPr_def_14 )
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_64868,c_51225]) ).
tcf(c_65650,plain,
( ( cons(sk5,sk7) = nil )
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_64868,c_17629]) ).
tcf(c_65651,plain,
( ssList(cons(sk5,app(sk7,sk4)))
| ~ ssList(cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65634,c_6486]) ).
tcf(c_65654,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk4)
| ~ ssList(cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65642,c_6486]) ).
tcf(c_65657,plain,
( frontsegP(cons(sk5,app(sk7,sk4)),cons(sk5,sk7))
| ~ ssList(cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65641,c_6486]) ).
tcf(c_65663,plain,
( ( sk4 = nil )
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65639,c_6486]) ).
tcf(c_65670,plain,
! [X0: $i] :
( rearsegP(cons(sk5,app(sk7,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65644,c_6486]) ).
tcf(c_65675,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk7,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65643,c_6486]) ).
tcf(c_65680,plain,
( ( cons(sk5,sk7) = nil )
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65640,c_6486]) ).
tcf(c_65684,plain,
! [X0: $i] :
( frontsegP(cons(sk5,app(sk7,sk4)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(cons(sk5,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65647,c_6486]) ).
tcf(c_65689,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk7,sk4)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk7))
| ~ memberP(cons(sk5,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65646,c_6486]) ).
tcf(c_65694,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,app(sk7,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65648,c_6486]) ).
tcf(c_65700,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(cons(sk5,sk7),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk7))
| ~ memberP(cons(sk5,app(sk7,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65638,c_6486]) ).
tcf(c_65706,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ( app(cons(sk5,sk7),X0) != cons(sk5,app(sk7,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65645,c_6486]) ).
tcf(c_65711,plain,
! [X0: $i] :
( ( cons(sk5,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65636,c_6486]) ).
tcf(c_65716,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk7,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(cons(sk5,app(sk7,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_65635,c_64868]) ).
tcf(c_65717,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk7,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(cons(sk5,app(sk7,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65716,c_6486]) ).
tcf(c_65735,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk7,sk4)),sk8),X0) = app(cons(sk5,app(sk7,sk4)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_16217]) ).
tcf(c_65736,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk7,sk4)),sk7),X0) = app(cons(sk5,app(sk7,sk4)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_16216]) ).
tcf(c_65737,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk7,sk4)),sk4),X0) = app(cons(sk5,app(sk7,sk4)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_16215]) ).
tcf(c_65738,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk5,app(sk7,sk4)))) = app(cons(X1,X0),cons(sk5,app(sk7,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_404]) ).
tcf(c_65739,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk5,app(sk7,sk4))),X0) = app(X1,app(cons(sk5,app(sk7,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_396]) ).
tcf(c_65740,plain,
! [X0: $i] :
( ( cons(sk5,app(sk7,sk4)) = nil )
| ( app(tl(cons(sk5,app(sk7,sk4))),X0) = tl(app(cons(sk5,app(sk7,sk4)),X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_380]) ).
tcf(c_65741,plain,
! [X0: $i] :
( ( cons(sk5,app(sk7,sk4)) = nil )
| ( hd(app(cons(sk5,app(sk7,sk4)),X0)) = hd(cons(sk5,app(sk7,sk4))) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_370]) ).
tcf(c_65742,plain,
( ( cons(sk5,app(cons(sk5,app(sk7,sk4)),sk4)) = app(cons(sk5,cons(sk5,app(sk7,sk4))),sk4) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_64777]) ).
tcf(c_65743,plain,
( ( tl(cons(skac3,cons(sk5,app(sk7,sk4)))) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_9890]) ).
tcf(c_65744,plain,
( ( app(app(sk8,sk8),cons(sk5,app(sk7,sk4))) = app(sk8,app(sk8,cons(sk5,app(sk7,sk4)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_56349]) ).
tcf(c_65745,plain,
( ( app(app(sk7,sk8),cons(sk5,app(sk7,sk4))) = app(sk7,app(sk8,cons(sk5,app(sk7,sk4)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_56348]) ).
tcf(c_65746,plain,
( ( app(app(sk4,sk8),cons(sk5,app(sk7,sk4))) = app(sk4,app(sk8,cons(sk5,app(sk7,sk4)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_56347]) ).
tcf(c_65747,plain,
( ( app(app(sk8,sk7),cons(sk5,app(sk7,sk4))) = app(sk8,app(sk7,cons(sk5,app(sk7,sk4)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_45540]) ).
tcf(c_65748,plain,
( ( app(app(sk7,sk7),cons(sk5,app(sk7,sk4))) = app(sk7,app(sk7,cons(sk5,app(sk7,sk4)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_45539]) ).
tcf(c_65749,plain,
( ( app(app(sk4,sk7),cons(sk5,app(sk7,sk4))) = app(sk4,app(sk7,cons(sk5,app(sk7,sk4)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_45538]) ).
tcf(c_65750,plain,
( ( app(app(sk8,sk4),cons(sk5,app(sk7,sk4))) = app(sk8,app(sk4,cons(sk5,app(sk7,sk4)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_37633]) ).
tcf(c_65751,plain,
( ( app(app(sk7,sk4),cons(sk5,app(sk7,sk4))) = app(sk7,app(sk4,cons(sk5,app(sk7,sk4)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_37632]) ).
tcf(c_65752,plain,
( ( app(app(sk4,sk4),cons(sk5,app(sk7,sk4))) = app(sk4,app(sk4,cons(sk5,app(sk7,sk4)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_37631]) ).
tcf(c_65753,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk5,app(sk7,sk4))) = tl(app(sk8,cons(sk5,app(sk7,sk4)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_14611]) ).
tcf(c_65754,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk5,app(sk7,sk4))) = tl(app(sk7,cons(sk5,app(sk7,sk4)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_14610]) ).
tcf(c_65755,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk5,app(sk7,sk4))) = tl(app(sk4,cons(sk5,app(sk7,sk4)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_14609]) ).
tcf(c_65756,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk5,app(sk7,sk4)))) = hd(sk8) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_11903]) ).
tcf(c_65757,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk5,app(sk7,sk4)))) = hd(sk7) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_11902]) ).
tcf(c_65758,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk5,app(sk7,sk4)))) = hd(sk4) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_11901]) ).
tcf(c_65759,plain,
( cyclefreeP(cons(sk5,app(sk7,sk4)))
| ( app(app(skaf51(cons(sk5,app(sk7,sk4))),cons(skaf49(cons(sk5,app(sk7,sk4))),skaf52(cons(sk5,app(sk7,sk4))))),cons(skaf50(cons(sk5,app(sk7,sk4))),skaf53(cons(sk5,app(sk7,sk4))))) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_414]) ).
tcf(c_65760,plain,
( totalorderP(cons(sk5,app(sk7,sk4)))
| ( app(app(skaf56(cons(sk5,app(sk7,sk4))),cons(skaf54(cons(sk5,app(sk7,sk4))),skaf57(cons(sk5,app(sk7,sk4))))),cons(skaf55(cons(sk5,app(sk7,sk4))),skaf58(cons(sk5,app(sk7,sk4))))) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_413]) ).
tcf(c_65761,plain,
( strictorderP(cons(sk5,app(sk7,sk4)))
| ( app(app(skaf61(cons(sk5,app(sk7,sk4))),cons(skaf59(cons(sk5,app(sk7,sk4))),skaf62(cons(sk5,app(sk7,sk4))))),cons(skaf60(cons(sk5,app(sk7,sk4))),skaf63(cons(sk5,app(sk7,sk4))))) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_412]) ).
tcf(c_65762,plain,
( totalorderedP(cons(sk5,app(sk7,sk4)))
| ( app(app(skaf66(cons(sk5,app(sk7,sk4))),cons(skaf64(cons(sk5,app(sk7,sk4))),skaf67(cons(sk5,app(sk7,sk4))))),cons(skaf65(cons(sk5,app(sk7,sk4))),skaf68(cons(sk5,app(sk7,sk4))))) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_411]) ).
tcf(c_65763,plain,
( strictorderedP(cons(sk5,app(sk7,sk4)))
| ( app(app(skaf71(cons(sk5,app(sk7,sk4))),cons(skaf69(cons(sk5,app(sk7,sk4))),skaf72(cons(sk5,app(sk7,sk4))))),cons(skaf70(cons(sk5,app(sk7,sk4))),skaf73(cons(sk5,app(sk7,sk4))))) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_410]) ).
tcf(c_65764,plain,
( duplicatefreeP(cons(sk5,app(sk7,sk4)))
| ( app(app(skaf75(cons(sk5,app(sk7,sk4))),cons(skaf74(cons(sk5,app(sk7,sk4))),skaf76(cons(sk5,app(sk7,sk4))))),cons(skaf74(cons(sk5,app(sk7,sk4))),skaf77(cons(sk5,app(sk7,sk4))))) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_409]) ).
tcf(c_65765,plain,
( equalelemsP(cons(sk5,app(sk7,sk4)))
| ( app(skaf80(cons(sk5,app(sk7,sk4))),cons(skaf78(cons(sk5,app(sk7,sk4))),cons(skaf79(cons(sk5,app(sk7,sk4))),skaf81(cons(sk5,app(sk7,sk4)))))) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_389]) ).
tcf(c_65766,plain,
( ( hd(cons(sk6,cons(sk5,app(sk7,sk4)))) = sk6 )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_10017]) ).
tcf(c_65767,plain,
( ( cons(sk5,app(sk7,sk4)) = nil )
| ( cons(skaf83(cons(sk5,app(sk7,sk4))),skaf82(cons(sk5,app(sk7,sk4)))) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_356]) ).
tcf(c_65768,plain,
( ( cons(sk5,app(sk7,sk4)) = nil )
| ( cons(hd(cons(sk5,app(sk7,sk4))),tl(cons(sk5,app(sk7,sk4)))) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_351]) ).
tcf(c_65769,plain,
( ( hd(cons(sk5,cons(sk5,app(sk7,sk4)))) = sk5 )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_10016]) ).
tcf(c_65770,plain,
( ( tl(cons(sk6,cons(sk5,app(sk7,sk4)))) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_9887]) ).
tcf(c_65771,plain,
( ( tl(cons(sk5,cons(sk5,app(sk7,sk4)))) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_9886]) ).
tcf(c_65772,plain,
( duplicatefreeP(cons(sk5,app(sk7,sk4)))
| ~ iPr_def_11
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_6471]) ).
tcf(c_65773,plain,
( ( app(nil,cons(sk5,app(sk7,sk4))) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_321]) ).
tcf(c_65774,plain,
( ( app(cons(sk5,app(sk7,sk4)),nil) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_320]) ).
tcf(c_65974,plain,
( ssList(cons(sk5,app(sk8,sk4)))
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_64869,c_332]) ).
tcf(c_65975,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk8,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ~ ssList(app(app(cons(sk5,sk8),sk4),X0)) ),
inference(superposition,[status(thm)],[c_64869,c_420]) ).
tcf(c_65976,plain,
! [X0: $i] :
( ( cons(sk5,sk8) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_64869,c_398]) ).
tcf(c_65978,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(cons(sk5,sk8),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk8))
| ~ memberP(cons(sk5,app(sk8,sk4)),X0) ),
inference(superposition,[status(thm)],[c_64869,c_405]) ).
tcf(c_65979,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_64869,c_366]) ).
tcf(c_65980,plain,
( ( cons(sk5,sk8) = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_64869,c_365]) ).
tcf(c_65981,plain,
( frontsegP(cons(sk5,app(sk8,sk4)),cons(sk5,sk8))
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_64869,c_808]) ).
tcf(c_65982,plain,
( rearsegP(cons(sk5,app(sk8,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_64869,c_807]) ).
tcf(c_65983,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_64869,c_388]) ).
tcf(c_65984,plain,
! [X0: $i] :
( rearsegP(cons(sk5,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_64869,c_383]) ).
tcf(c_65985,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ( app(cons(sk5,sk8),X0) != cons(sk5,app(sk8,sk4)) ) ),
inference(superposition,[status(thm)],[c_64869,c_397]) ).
tcf(c_65986,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk8))
| ~ memberP(cons(sk5,sk8),X0) ),
inference(superposition,[status(thm)],[c_64869,c_387]) ).
tcf(c_65987,plain,
! [X0: $i] :
( frontsegP(cons(sk5,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ~ frontsegP(cons(sk5,sk8),X0) ),
inference(superposition,[status(thm)],[c_64869,c_384]) ).
tcf(c_65988,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,app(sk8,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_64869,c_419]) ).
tcf(c_65989,plain,
( ( cons(sk5,sk8) = iPr_def_14 )
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_64869,c_51225]) ).
tcf(c_65990,plain,
( ( cons(sk5,sk8) = nil )
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_64869,c_17629]) ).
tcf(c_65991,plain,
( ssList(cons(sk5,app(sk8,sk4)))
| ~ ssList(cons(sk5,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65974,c_6486]) ).
tcf(c_65994,plain,
( rearsegP(cons(sk5,app(sk8,sk4)),sk4)
| ~ ssList(cons(sk5,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65982,c_6486]) ).
tcf(c_65997,plain,
( frontsegP(cons(sk5,app(sk8,sk4)),cons(sk5,sk8))
| ~ ssList(cons(sk5,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65981,c_6486]) ).
tcf(c_66003,plain,
( ( sk4 = nil )
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65979,c_6486]) ).
tcf(c_66010,plain,
! [X0: $i] :
( rearsegP(cons(sk5,app(sk8,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65984,c_6486]) ).
tcf(c_66015,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk8,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65983,c_6486]) ).
tcf(c_66020,plain,
( ( cons(sk5,sk8) = nil )
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65980,c_6486]) ).
tcf(c_66024,plain,
! [X0: $i] :
( frontsegP(cons(sk5,app(sk8,sk4)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ~ frontsegP(cons(sk5,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65987,c_6486]) ).
tcf(c_66029,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk8,sk4)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk8))
| ~ memberP(cons(sk5,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65986,c_6486]) ).
tcf(c_66034,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,app(sk8,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65988,c_6486]) ).
tcf(c_66040,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(cons(sk5,sk8),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk8))
| ~ memberP(cons(sk5,app(sk8,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65978,c_6486]) ).
tcf(c_66046,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ( app(cons(sk5,sk8),X0) != cons(sk5,app(sk8,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65985,c_6486]) ).
tcf(c_66051,plain,
! [X0: $i] :
( ( cons(sk5,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65976,c_6486]) ).
tcf(c_66056,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk8,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ~ ssList(app(cons(sk5,app(sk8,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_65975,c_64869]) ).
tcf(c_66057,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk8,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ~ ssList(app(cons(sk5,app(sk8,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66056,c_6486]) ).
tcf(c_66075,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk8,sk4)),sk8),X0) = app(cons(sk5,app(sk8,sk4)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_16217]) ).
tcf(c_66076,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk8,sk4)),sk7),X0) = app(cons(sk5,app(sk8,sk4)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_16216]) ).
tcf(c_66077,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk8,sk4)),sk4),X0) = app(cons(sk5,app(sk8,sk4)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_16215]) ).
tcf(c_66078,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk5,app(sk8,sk4)))) = app(cons(X1,X0),cons(sk5,app(sk8,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_404]) ).
tcf(c_66079,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk5,app(sk8,sk4))),X0) = app(X1,app(cons(sk5,app(sk8,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_396]) ).
tcf(c_66080,plain,
! [X0: $i] :
( ( cons(sk5,app(sk8,sk4)) = nil )
| ( app(tl(cons(sk5,app(sk8,sk4))),X0) = tl(app(cons(sk5,app(sk8,sk4)),X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_380]) ).
tcf(c_66081,plain,
! [X0: $i] :
( ( cons(sk5,app(sk8,sk4)) = nil )
| ( hd(app(cons(sk5,app(sk8,sk4)),X0)) = hd(cons(sk5,app(sk8,sk4))) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_370]) ).
tcf(c_66082,plain,
( ( cons(sk5,app(cons(sk5,app(sk8,sk4)),sk4)) = app(cons(sk5,cons(sk5,app(sk8,sk4))),sk4) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_64777]) ).
tcf(c_66083,plain,
( ( tl(cons(skac3,cons(sk5,app(sk8,sk4)))) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_9890]) ).
tcf(c_66084,plain,
( ( app(app(sk8,sk8),cons(sk5,app(sk8,sk4))) = app(sk8,app(sk8,cons(sk5,app(sk8,sk4)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_56349]) ).
tcf(c_66085,plain,
( ( app(app(sk7,sk8),cons(sk5,app(sk8,sk4))) = app(sk7,app(sk8,cons(sk5,app(sk8,sk4)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_56348]) ).
tcf(c_66086,plain,
( ( app(app(sk4,sk8),cons(sk5,app(sk8,sk4))) = app(sk4,app(sk8,cons(sk5,app(sk8,sk4)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_56347]) ).
tcf(c_66087,plain,
( ( app(app(sk8,sk7),cons(sk5,app(sk8,sk4))) = app(sk8,app(sk7,cons(sk5,app(sk8,sk4)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_45540]) ).
tcf(c_66088,plain,
( ( app(app(sk7,sk7),cons(sk5,app(sk8,sk4))) = app(sk7,app(sk7,cons(sk5,app(sk8,sk4)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_45539]) ).
tcf(c_66089,plain,
( ( app(app(sk4,sk7),cons(sk5,app(sk8,sk4))) = app(sk4,app(sk7,cons(sk5,app(sk8,sk4)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_45538]) ).
tcf(c_66090,plain,
( ( app(app(sk8,sk4),cons(sk5,app(sk8,sk4))) = app(sk8,app(sk4,cons(sk5,app(sk8,sk4)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_37633]) ).
tcf(c_66091,plain,
( ( app(app(sk7,sk4),cons(sk5,app(sk8,sk4))) = app(sk7,app(sk4,cons(sk5,app(sk8,sk4)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_37632]) ).
tcf(c_66092,plain,
( ( app(app(sk4,sk4),cons(sk5,app(sk8,sk4))) = app(sk4,app(sk4,cons(sk5,app(sk8,sk4)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_37631]) ).
tcf(c_66093,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk5,app(sk8,sk4))) = tl(app(sk8,cons(sk5,app(sk8,sk4)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_14611]) ).
tcf(c_66094,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk5,app(sk8,sk4))) = tl(app(sk7,cons(sk5,app(sk8,sk4)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_14610]) ).
tcf(c_66095,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk5,app(sk8,sk4))) = tl(app(sk4,cons(sk5,app(sk8,sk4)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_14609]) ).
tcf(c_66096,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk5,app(sk8,sk4)))) = hd(sk8) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_11903]) ).
tcf(c_66097,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk5,app(sk8,sk4)))) = hd(sk7) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_11902]) ).
tcf(c_66098,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk5,app(sk8,sk4)))) = hd(sk4) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_11901]) ).
tcf(c_66099,plain,
( cyclefreeP(cons(sk5,app(sk8,sk4)))
| ( app(app(skaf51(cons(sk5,app(sk8,sk4))),cons(skaf49(cons(sk5,app(sk8,sk4))),skaf52(cons(sk5,app(sk8,sk4))))),cons(skaf50(cons(sk5,app(sk8,sk4))),skaf53(cons(sk5,app(sk8,sk4))))) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_414]) ).
tcf(c_66100,plain,
( totalorderP(cons(sk5,app(sk8,sk4)))
| ( app(app(skaf56(cons(sk5,app(sk8,sk4))),cons(skaf54(cons(sk5,app(sk8,sk4))),skaf57(cons(sk5,app(sk8,sk4))))),cons(skaf55(cons(sk5,app(sk8,sk4))),skaf58(cons(sk5,app(sk8,sk4))))) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_413]) ).
tcf(c_66101,plain,
( strictorderP(cons(sk5,app(sk8,sk4)))
| ( app(app(skaf61(cons(sk5,app(sk8,sk4))),cons(skaf59(cons(sk5,app(sk8,sk4))),skaf62(cons(sk5,app(sk8,sk4))))),cons(skaf60(cons(sk5,app(sk8,sk4))),skaf63(cons(sk5,app(sk8,sk4))))) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_412]) ).
tcf(c_66102,plain,
( totalorderedP(cons(sk5,app(sk8,sk4)))
| ( app(app(skaf66(cons(sk5,app(sk8,sk4))),cons(skaf64(cons(sk5,app(sk8,sk4))),skaf67(cons(sk5,app(sk8,sk4))))),cons(skaf65(cons(sk5,app(sk8,sk4))),skaf68(cons(sk5,app(sk8,sk4))))) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_411]) ).
tcf(c_66103,plain,
( strictorderedP(cons(sk5,app(sk8,sk4)))
| ( app(app(skaf71(cons(sk5,app(sk8,sk4))),cons(skaf69(cons(sk5,app(sk8,sk4))),skaf72(cons(sk5,app(sk8,sk4))))),cons(skaf70(cons(sk5,app(sk8,sk4))),skaf73(cons(sk5,app(sk8,sk4))))) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_410]) ).
tcf(c_66104,plain,
( duplicatefreeP(cons(sk5,app(sk8,sk4)))
| ( app(app(skaf75(cons(sk5,app(sk8,sk4))),cons(skaf74(cons(sk5,app(sk8,sk4))),skaf76(cons(sk5,app(sk8,sk4))))),cons(skaf74(cons(sk5,app(sk8,sk4))),skaf77(cons(sk5,app(sk8,sk4))))) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_409]) ).
tcf(c_66105,plain,
( equalelemsP(cons(sk5,app(sk8,sk4)))
| ( app(skaf80(cons(sk5,app(sk8,sk4))),cons(skaf78(cons(sk5,app(sk8,sk4))),cons(skaf79(cons(sk5,app(sk8,sk4))),skaf81(cons(sk5,app(sk8,sk4)))))) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_389]) ).
tcf(c_66106,plain,
( ( hd(cons(sk6,cons(sk5,app(sk8,sk4)))) = sk6 )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_10017]) ).
tcf(c_66107,plain,
( ( cons(sk5,app(sk8,sk4)) = nil )
| ( cons(skaf83(cons(sk5,app(sk8,sk4))),skaf82(cons(sk5,app(sk8,sk4)))) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_356]) ).
tcf(c_66108,plain,
( ( cons(sk5,app(sk8,sk4)) = nil )
| ( cons(hd(cons(sk5,app(sk8,sk4))),tl(cons(sk5,app(sk8,sk4)))) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_351]) ).
tcf(c_66109,plain,
( ( hd(cons(sk5,cons(sk5,app(sk8,sk4)))) = sk5 )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_10016]) ).
tcf(c_66110,plain,
( ( tl(cons(sk6,cons(sk5,app(sk8,sk4)))) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_9887]) ).
tcf(c_66111,plain,
( ( tl(cons(sk5,cons(sk5,app(sk8,sk4)))) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_9886]) ).
tcf(c_66112,plain,
( duplicatefreeP(cons(sk5,app(sk8,sk4)))
| ~ iPr_def_11
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_6471]) ).
tcf(c_66113,plain,
( ( app(nil,cons(sk5,app(sk8,sk4))) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_321]) ).
tcf(c_66114,plain,
( ( app(cons(sk5,app(sk8,sk4)),nil) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_320]) ).
tcf(c_66344,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf77(X0)) = nil )
| ( cons(skac3,skaf77(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf77(X0)))
| ( skaf77(X0) != tl(X1) )
| ( hd(cons(skac3,skaf77(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63926,c_424]) ).
tcf(c_66354,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf76(X0)) = nil )
| ( cons(skac3,skaf76(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf76(X0)))
| ( skaf76(X0) != tl(X1) )
| ( hd(cons(skac3,skaf76(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63927,c_424]) ).
tcf(c_66364,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf75(X0)) = nil )
| ( cons(skac3,skaf75(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf75(X0)))
| ( skaf75(X0) != tl(X1) )
| ( hd(cons(skac3,skaf75(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63928,c_424]) ).
tcf(c_66374,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf73(X0)) = nil )
| ( cons(skac3,skaf73(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf73(X0)))
| ( skaf73(X0) != tl(X1) )
| ( hd(cons(skac3,skaf73(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63929,c_424]) ).
tcf(c_66385,plain,
( ssList(cons(sk5,sk4))
| ~ ssList(iPr_def_12)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_64937,c_332]) ).
tcf(c_66386,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk4)
| ~ ssList(iPr_def_12)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_12,sk4),X0)) ),
inference(superposition,[status(thm)],[c_64937,c_420]) ).
tcf(c_66387,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk4)
| ~ ssList(X0)
| ( app(X0,sk4) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_64937,c_398]) ).
tcf(c_66389,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(sk4,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(cons(sk5,sk4),X0) ),
inference(superposition,[status(thm)],[c_64937,c_405]) ).
tcf(c_66391,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk4)
| ( cons(sk5,sk4) != nil ) ),
inference(superposition,[status(thm)],[c_64937,c_365]) ).
tcf(c_66392,plain,
( frontsegP(cons(sk5,sk4),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_64937,c_808]) ).
tcf(c_66393,plain,
( rearsegP(cons(sk5,sk4),sk4)
| ~ ssList(iPr_def_12)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_64937,c_807]) ).
tcf(c_66394,plain,
! [X0: $i] :
( memberP(cons(sk5,sk4),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(superposition,[status(thm)],[c_64937,c_388]) ).
tcf(c_66395,plain,
! [X0: $i] :
( rearsegP(cons(sk5,sk4),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(superposition,[status(thm)],[c_64937,c_383]) ).
tcf(c_66396,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk4)
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_64937,c_397]) ).
tcf(c_66397,plain,
! [X0: $i] :
( memberP(cons(sk5,sk4),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_64937,c_387]) ).
tcf(c_66398,plain,
! [X0: $i] :
( frontsegP(cons(sk5,sk4),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_64937,c_384]) ).
tcf(c_66399,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,sk4),X1),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_64937,c_419]) ).
tcf(c_66400,plain,
( ( iPr_def_12 = iPr_def_14 )
| ~ ssList(iPr_def_12)
| ( cons(sk5,sk4) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_64937,c_51225]) ).
tcf(c_66401,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sk5,sk4) != sk4 ) ),
inference(superposition,[status(thm)],[c_64937,c_17629]) ).
tcf(c_66402,plain,
ssList(cons(sk5,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_66385,c_9489,c_6486]) ).
tcf(c_66403,plain,
rearsegP(cons(sk5,sk4),sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_66393,c_9489,c_6486]) ).
tcf(c_66404,plain,
frontsegP(cons(sk5,sk4),iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_66392,c_9489,c_6486]) ).
tcf(c_66405,plain,
cons(sk5,sk4) != sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_66401,c_10150,c_9489]) ).
tcf(c_66406,plain,
cons(sk5,sk4) != cons(sk6,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_66400,c_36538,c_9489]) ).
tcf(c_66407,plain,
cons(sk5,sk4) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_66391,c_10150,c_9489,c_6486]) ).
tcf(c_66408,plain,
! [X0: $i] :
( frontsegP(cons(sk5,sk4),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66398,c_9489,c_6486]) ).
tcf(c_66412,plain,
! [X0: $i] :
( memberP(cons(sk5,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66397,c_9489,c_6486]) ).
tcf(c_66416,plain,
! [X0: $i] :
( rearsegP(cons(sk5,sk4),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66395,c_9489,c_6486]) ).
tcf(c_66420,plain,
! [X0: $i] :
( memberP(cons(sk5,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66394,c_9489,c_6486]) ).
tcf(c_66424,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk5,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66389,c_9489,c_6486]) ).
tcf(c_66429,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != cons(sk5,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66396,c_9489,c_6486]) ).
tcf(c_66433,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(X0,sk4) != cons(sk5,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66387,c_9489,c_6486]) ).
tcf(c_66437,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,sk4),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66399,c_9489,c_6486]) ).
tcf(c_66442,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk4)
| ~ ssList(iPr_def_12)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(light_normalisation,[status(thm)],[c_66386,c_64937]) ).
tcf(c_66443,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66442,c_9489,c_6486]) ).
tcf(c_66447,plain,
ssList(cons(sk5,app(sk4,sk4))),
inference(backward_subsumption_resolution,[status(thm)],[c_65158,c_66402]) ).
tcf(c_66457,plain,
! [X0: $i] :
( ( app(app(cons(sk5,sk4),sk8),X0) = app(cons(sk5,sk4),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_66402,c_16217]) ).
tcf(c_66458,plain,
! [X0: $i] :
( ( app(app(cons(sk5,sk4),sk7),X0) = app(cons(sk5,sk4),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_66402,c_16216]) ).
tcf(c_66459,plain,
! [X0: $i] :
( ( app(app(cons(sk5,sk4),sk4),X0) = app(cons(sk5,sk4),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_66402,c_16215]) ).
tcf(c_66460,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk5,sk4))) = app(cons(X1,X0),cons(sk5,sk4)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_66402,c_404]) ).
tcf(c_66461,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk5,sk4)),X0) = app(X1,app(cons(sk5,sk4),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_66402,c_396]) ).
tcf(c_66462,plain,
! [X0: $i] :
( ( cons(sk5,sk4) = nil )
| ( app(tl(cons(sk5,sk4)),X0) = tl(app(cons(sk5,sk4),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_66402,c_380]) ).
tcf(c_66463,plain,
! [X0: $i] :
( ( cons(sk5,sk4) = nil )
| ( hd(app(cons(sk5,sk4),X0)) = hd(cons(sk5,sk4)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_66402,c_370]) ).
tcf(c_66464,plain,
cons(sk5,app(cons(sk5,sk4),sk4)) = app(cons(sk5,cons(sk5,sk4)),sk4),
inference(superposition,[status(thm)],[c_66402,c_64777]) ).
tcf(c_66465,plain,
tl(cons(skac3,cons(sk5,sk4))) = cons(sk5,sk4),
inference(superposition,[status(thm)],[c_66402,c_9890]) ).
tcf(c_66466,plain,
app(app(sk8,sk8),cons(sk5,sk4)) = app(sk8,app(sk8,cons(sk5,sk4))),
inference(superposition,[status(thm)],[c_66402,c_56349]) ).
tcf(c_66467,plain,
app(app(sk7,sk8),cons(sk5,sk4)) = app(sk7,app(sk8,cons(sk5,sk4))),
inference(superposition,[status(thm)],[c_66402,c_56348]) ).
tcf(c_66468,plain,
app(app(sk4,sk8),cons(sk5,sk4)) = app(sk4,app(sk8,cons(sk5,sk4))),
inference(superposition,[status(thm)],[c_66402,c_56347]) ).
tcf(c_66469,plain,
app(app(sk8,sk7),cons(sk5,sk4)) = app(sk8,app(sk7,cons(sk5,sk4))),
inference(superposition,[status(thm)],[c_66402,c_45540]) ).
tcf(c_66470,plain,
app(app(sk7,sk7),cons(sk5,sk4)) = app(sk7,app(sk7,cons(sk5,sk4))),
inference(superposition,[status(thm)],[c_66402,c_45539]) ).
tcf(c_66471,plain,
app(app(sk4,sk7),cons(sk5,sk4)) = app(sk4,app(sk7,cons(sk5,sk4))),
inference(superposition,[status(thm)],[c_66402,c_45538]) ).
tcf(c_66472,plain,
app(app(sk8,sk4),cons(sk5,sk4)) = app(sk8,app(sk4,cons(sk5,sk4))),
inference(superposition,[status(thm)],[c_66402,c_37633]) ).
tcf(c_66473,plain,
app(app(sk7,sk4),cons(sk5,sk4)) = app(sk7,app(sk4,cons(sk5,sk4))),
inference(superposition,[status(thm)],[c_66402,c_37632]) ).
tcf(c_66474,plain,
app(app(sk4,sk4),cons(sk5,sk4)) = app(sk4,app(sk4,cons(sk5,sk4))),
inference(superposition,[status(thm)],[c_66402,c_37631]) ).
tcf(c_66475,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk5,sk4)) = tl(app(sk8,cons(sk5,sk4))) ) ),
inference(superposition,[status(thm)],[c_66402,c_14611]) ).
tcf(c_66476,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk5,sk4)) = tl(app(sk7,cons(sk5,sk4))) ) ),
inference(superposition,[status(thm)],[c_66402,c_14610]) ).
tcf(c_66477,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk5,sk4)) = tl(app(sk4,cons(sk5,sk4))) ) ),
inference(superposition,[status(thm)],[c_66402,c_14609]) ).
tcf(c_66478,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk5,sk4))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_66402,c_11903]) ).
tcf(c_66479,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk5,sk4))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_66402,c_11902]) ).
tcf(c_66480,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk5,sk4))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_66402,c_11901]) ).
tcf(c_66481,plain,
( cyclefreeP(cons(sk5,sk4))
| ( app(app(skaf51(cons(sk5,sk4)),cons(skaf49(cons(sk5,sk4)),skaf52(cons(sk5,sk4)))),cons(skaf50(cons(sk5,sk4)),skaf53(cons(sk5,sk4)))) = cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_66402,c_414]) ).
tcf(c_66482,plain,
( totalorderP(cons(sk5,sk4))
| ( app(app(skaf56(cons(sk5,sk4)),cons(skaf54(cons(sk5,sk4)),skaf57(cons(sk5,sk4)))),cons(skaf55(cons(sk5,sk4)),skaf58(cons(sk5,sk4)))) = cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_66402,c_413]) ).
tcf(c_66483,plain,
( strictorderP(cons(sk5,sk4))
| ( app(app(skaf61(cons(sk5,sk4)),cons(skaf59(cons(sk5,sk4)),skaf62(cons(sk5,sk4)))),cons(skaf60(cons(sk5,sk4)),skaf63(cons(sk5,sk4)))) = cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_66402,c_412]) ).
tcf(c_66484,plain,
( totalorderedP(cons(sk5,sk4))
| ( app(app(skaf66(cons(sk5,sk4)),cons(skaf64(cons(sk5,sk4)),skaf67(cons(sk5,sk4)))),cons(skaf65(cons(sk5,sk4)),skaf68(cons(sk5,sk4)))) = cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_66402,c_411]) ).
tcf(c_66485,plain,
( strictorderedP(cons(sk5,sk4))
| ( app(app(skaf71(cons(sk5,sk4)),cons(skaf69(cons(sk5,sk4)),skaf72(cons(sk5,sk4)))),cons(skaf70(cons(sk5,sk4)),skaf73(cons(sk5,sk4)))) = cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_66402,c_410]) ).
tcf(c_66486,plain,
( duplicatefreeP(cons(sk5,sk4))
| ( app(app(skaf75(cons(sk5,sk4)),cons(skaf74(cons(sk5,sk4)),skaf76(cons(sk5,sk4)))),cons(skaf74(cons(sk5,sk4)),skaf77(cons(sk5,sk4)))) = cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_66402,c_409]) ).
tcf(c_66487,plain,
( equalelemsP(cons(sk5,sk4))
| ( app(skaf80(cons(sk5,sk4)),cons(skaf78(cons(sk5,sk4)),cons(skaf79(cons(sk5,sk4)),skaf81(cons(sk5,sk4))))) = cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_66402,c_389]) ).
tcf(c_66488,plain,
hd(cons(sk6,cons(sk5,sk4))) = sk6,
inference(superposition,[status(thm)],[c_66402,c_10017]) ).
tcf(c_66489,plain,
( ( cons(sk5,sk4) = nil )
| ( cons(skaf83(cons(sk5,sk4)),skaf82(cons(sk5,sk4))) = cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_66402,c_356]) ).
tcf(c_66490,plain,
( ( cons(sk5,sk4) = nil )
| ( cons(hd(cons(sk5,sk4)),tl(cons(sk5,sk4))) = cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_66402,c_351]) ).
tcf(c_66491,plain,
hd(cons(sk5,cons(sk5,sk4))) = sk5,
inference(superposition,[status(thm)],[c_66402,c_10016]) ).
tcf(c_66492,plain,
tl(cons(sk6,cons(sk5,sk4))) = cons(sk5,sk4),
inference(superposition,[status(thm)],[c_66402,c_9887]) ).
tcf(c_66493,plain,
tl(cons(sk5,cons(sk5,sk4))) = cons(sk5,sk4),
inference(superposition,[status(thm)],[c_66402,c_9886]) ).
tcf(c_66494,plain,
( duplicatefreeP(cons(sk5,sk4))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_66402,c_6471]) ).
tcf(c_66495,plain,
app(nil,cons(sk5,sk4)) = cons(sk5,sk4),
inference(superposition,[status(thm)],[c_66402,c_321]) ).
tcf(c_66496,plain,
app(cons(sk5,sk4),nil) = cons(sk5,sk4),
inference(superposition,[status(thm)],[c_66402,c_320]) ).
tcf(c_66505,plain,
cons(sk5,cons(sk5,app(sk4,sk4))) = app(cons(sk5,cons(sk5,sk4)),sk4),
inference(light_normalisation,[status(thm)],[c_66464,c_64867]) ).
tcf(c_66512,plain,
! [X0: $i] :
( ( app(cons(sk5,app(sk4,sk4)),X0) = app(cons(sk5,sk4),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_66459,c_64867]) ).
tcf(c_66522,plain,
! [X0: $i] :
( ( cons(sk5,sk4) = nil )
| ( hd(app(cons(sk5,sk4),X0)) = sk5 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_66463,c_10649]) ).
tcf(c_66532,plain,
! [X0: $i] :
( ( cons(sk5,sk4) = nil )
| ( tl(app(cons(sk5,sk4),X0)) = app(sk4,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_66462,c_10181]) ).
tcf(c_66642,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(X0,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66403,c_400]) ).
tcf(c_66643,plain,
( ( app(skaf46(cons(sk5,sk4),sk4),sk4) = cons(sk5,sk4) )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66403,c_378]) ).
tcf(c_66644,plain,
( ( cons(sk5,sk4) = sk4 )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk4,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66403,c_375]) ).
tcf(c_66645,plain,
( ( cons(sk5,sk4) = sk4 )
| ~ rearsegP(sk4,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66644,c_6486,c_66402]) ).
tcf(c_66648,plain,
app(skaf46(cons(sk5,sk4),sk4),sk4) = cons(sk5,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_66643,c_6486,c_66402]) ).
tcf(c_66649,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66642,c_6486,c_66402]) ).
tcf(c_66812,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66404,c_401]) ).
tcf(c_66813,plain,
( ( app(iPr_def_12,skaf45(cons(sk5,sk4),iPr_def_12)) = cons(sk5,sk4) )
| ~ ssList(iPr_def_12)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66404,c_379]) ).
tcf(c_66814,plain,
( ( cons(sk5,sk4) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66404,c_376]) ).
tcf(c_66816,plain,
( ( cons(sk5,sk4) = iPr_def_12 )
| ~ frontsegP(iPr_def_12,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66814,c_9489,c_66402]) ).
tcf(c_66819,plain,
app(iPr_def_12,skaf45(cons(sk5,sk4),iPr_def_12)) = cons(sk5,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_66813,c_9489,c_66402]) ).
tcf(c_66820,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66812,c_9489,c_66402]) ).
tcf(c_66825,plain,
rearsegP(cons(sk5,app(sk4,sk4)),sk4),
inference(global_subsumption_just,[status(thm)],[c_65161,c_65161,c_66402]) ).
tcf(c_66827,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ rearsegP(X0,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_66825,c_400]) ).
tcf(c_66828,plain,
( ( app(skaf46(cons(sk5,app(sk4,sk4)),sk4),sk4) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_66825,c_378]) ).
tcf(c_66829,plain,
( ( cons(sk5,app(sk4,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_66825,c_375]) ).
tcf(c_66830,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ rearsegP(X0,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66827,c_6486]) ).
tcf(c_66835,plain,
( ( cons(sk5,app(sk4,sk4)) = sk4 )
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66829,c_6486]) ).
tcf(c_66839,plain,
( ( app(skaf46(cons(sk5,app(sk4,sk4)),sk4),sk4) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66828,c_6486]) ).
tcf(c_66847,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(X0,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_65654,c_400]) ).
tcf(c_66848,plain,
( ( app(skaf46(cons(sk5,app(sk7,sk4)),sk4),sk4) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_65654,c_378]) ).
tcf(c_66849,plain,
( ( cons(sk5,app(sk7,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk4,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_65654,c_375]) ).
tcf(c_66850,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(X0,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66847,c_6486]) ).
tcf(c_66856,plain,
( ( cons(sk5,app(sk7,sk4)) = sk4 )
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk4,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66849,c_6486]) ).
tcf(c_66861,plain,
( ( app(skaf46(cons(sk5,app(sk7,sk4)),sk4),sk4) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66848,c_6486]) ).
tcf(c_66870,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk4)))
| ~ rearsegP(X0,cons(sk5,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_65994,c_400]) ).
tcf(c_66871,plain,
( ( app(skaf46(cons(sk5,app(sk8,sk4)),sk4),sk4) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_65994,c_378]) ).
tcf(c_66872,plain,
( ( cons(sk5,app(sk8,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk4)))
| ~ rearsegP(sk4,cons(sk5,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_65994,c_375]) ).
tcf(c_66873,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk4)))
| ~ rearsegP(X0,cons(sk5,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66870,c_6486]) ).
tcf(c_66879,plain,
( ( cons(sk5,app(sk8,sk4)) = sk4 )
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk4)))
| ~ rearsegP(sk4,cons(sk5,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66872,c_6486]) ).
tcf(c_66884,plain,
( ( app(skaf46(cons(sk5,app(sk8,sk4)),sk4),sk4) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66871,c_6486]) ).
tcf(c_66895,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X1)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_401]) ).
tcf(c_66896,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk5,sk4),X0)) = cons(sk5,sk4) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_379]) ).
tcf(c_66897,plain,
! [X0: $i] :
( ( cons(sk5,sk4) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_376]) ).
tcf(c_66898,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk5 )
| ~ ssItem(sk5)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_66408,c_423]) ).
tcf(c_66899,plain,
! [X0: $i,X1: $i] :
( frontsegP(sk4,X1)
| ~ ssItem(sk5)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_66408,c_421]) ).
tcf(c_66900,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_15594]) ).
tcf(c_66901,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_28779]) ).
tcf(c_66902,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_26336]) ).
tcf(c_66905,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66902,c_9020,c_66402]) ).
tcf(c_66908,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66901,c_24748,c_66402]) ).
tcf(c_66911,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66900,c_9527,c_66402]) ).
tcf(c_66914,plain,
! [X0: $i] :
( ( cons(sk5,sk4) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0)
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66897,c_66402]) ).
tcf(c_66919,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk5,sk4),X0)) = cons(sk5,sk4) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66896,c_66402]) ).
tcf(c_66923,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X1)
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66895,c_66402]) ).
tcf(c_66929,plain,
! [X0: $i,X1: $i] :
( frontsegP(sk4,X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66899,c_6485,c_6486]) ).
tcf(c_66935,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk5 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66898,c_6485,c_6486]) ).
tcf(c_67003,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk5,sk4),X0),cons(X0,skaf43(X0,cons(sk5,sk4)))) = cons(sk5,sk4) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66412,c_416]) ).
tcf(c_67004,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( X0 = sk5 )
| ~ ssItem(sk5)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_66412,c_408]) ).
tcf(c_67006,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk5,sk4),X0),cons(X0,skaf43(X0,cons(sk5,sk4)))) = cons(sk5,sk4) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67003,c_66402]) ).
tcf(c_67017,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(X0,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66416,c_400]) ).
tcf(c_67018,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk5,sk4),X0),X0) = cons(sk5,sk4) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66416,c_378]) ).
tcf(c_67019,plain,
! [X0: $i] :
( ( cons(sk5,sk4) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(X0,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66416,c_375]) ).
tcf(c_67020,plain,
( rearsegP(cons(sk5,sk4),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66416,c_15170]) ).
tcf(c_67021,plain,
( rearsegP(cons(sk5,sk4),sk8)
| ~ rearsegP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67020,c_9020,c_66402]) ).
tcf(c_67024,plain,
! [X0: $i] :
( ( cons(sk5,sk4) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ rearsegP(X0,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67019,c_66402]) ).
tcf(c_67029,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk5,sk4),X0),X0) = cons(sk5,sk4) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67018,c_66402]) ).
tcf(c_67033,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ rearsegP(X0,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67017,c_66402]) ).
tcf(c_67047,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk5,sk4),X0),cons(X0,skaf43(X0,cons(sk5,sk4)))) = cons(sk5,sk4) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66420,c_416]) ).
tcf(c_67049,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk5,sk4),X0),cons(X0,skaf43(X0,cons(sk5,sk4)))) = cons(sk5,sk4) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67047,c_66402]) ).
tcf(c_67055,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk4,sk4)),sk8),X0) = app(cons(sk5,app(sk4,sk4)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_66447,c_16217]) ).
tcf(c_67056,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk4,sk4)),sk7),X0) = app(cons(sk5,app(sk4,sk4)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_66447,c_16216]) ).
tcf(c_67057,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk4,sk4)),sk4),X0) = app(cons(sk5,app(sk4,sk4)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_66447,c_16215]) ).
tcf(c_67058,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk5,app(sk4,sk4)))) = app(cons(X1,X0),cons(sk5,app(sk4,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_66447,c_404]) ).
tcf(c_67059,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk5,app(sk4,sk4))),X0) = app(X1,app(cons(sk5,app(sk4,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_66447,c_396]) ).
tcf(c_67060,plain,
! [X0: $i] :
( ( cons(sk5,app(sk4,sk4)) = nil )
| ( app(tl(cons(sk5,app(sk4,sk4))),X0) = tl(app(cons(sk5,app(sk4,sk4)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_66447,c_380]) ).
tcf(c_67061,plain,
! [X0: $i] :
( ( cons(sk5,app(sk4,sk4)) = nil )
| ( hd(app(cons(sk5,app(sk4,sk4)),X0)) = hd(cons(sk5,app(sk4,sk4))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_66447,c_370]) ).
tcf(c_67062,plain,
cons(sk5,app(cons(sk5,app(sk4,sk4)),sk4)) = app(cons(sk5,cons(sk5,app(sk4,sk4))),sk4),
inference(superposition,[status(thm)],[c_66447,c_64777]) ).
tcf(c_67063,plain,
tl(cons(skac3,cons(sk5,app(sk4,sk4)))) = cons(sk5,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_66447,c_9890]) ).
tcf(c_67064,plain,
app(app(sk8,sk8),cons(sk5,app(sk4,sk4))) = app(sk8,app(sk8,cons(sk5,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_66447,c_56349]) ).
tcf(c_67065,plain,
app(app(sk7,sk8),cons(sk5,app(sk4,sk4))) = app(sk7,app(sk8,cons(sk5,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_66447,c_56348]) ).
tcf(c_67066,plain,
app(app(sk4,sk8),cons(sk5,app(sk4,sk4))) = app(sk4,app(sk8,cons(sk5,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_66447,c_56347]) ).
tcf(c_67067,plain,
app(app(sk8,sk7),cons(sk5,app(sk4,sk4))) = app(sk8,app(sk7,cons(sk5,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_66447,c_45540]) ).
tcf(c_67068,plain,
app(app(sk7,sk7),cons(sk5,app(sk4,sk4))) = app(sk7,app(sk7,cons(sk5,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_66447,c_45539]) ).
tcf(c_67069,plain,
app(app(sk4,sk7),cons(sk5,app(sk4,sk4))) = app(sk4,app(sk7,cons(sk5,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_66447,c_45538]) ).
tcf(c_67070,plain,
app(app(sk8,sk4),cons(sk5,app(sk4,sk4))) = app(sk8,app(sk4,cons(sk5,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_66447,c_37633]) ).
tcf(c_67071,plain,
app(app(sk7,sk4),cons(sk5,app(sk4,sk4))) = app(sk7,app(sk4,cons(sk5,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_66447,c_37632]) ).
tcf(c_67072,plain,
app(app(sk4,sk4),cons(sk5,app(sk4,sk4))) = app(sk4,app(sk4,cons(sk5,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_66447,c_37631]) ).
tcf(c_67073,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk5,app(sk4,sk4))) = tl(app(sk8,cons(sk5,app(sk4,sk4)))) ) ),
inference(superposition,[status(thm)],[c_66447,c_14611]) ).
tcf(c_67074,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk5,app(sk4,sk4))) = tl(app(sk7,cons(sk5,app(sk4,sk4)))) ) ),
inference(superposition,[status(thm)],[c_66447,c_14610]) ).
tcf(c_67075,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk5,app(sk4,sk4))) = tl(app(sk4,cons(sk5,app(sk4,sk4)))) ) ),
inference(superposition,[status(thm)],[c_66447,c_14609]) ).
tcf(c_67076,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk5,app(sk4,sk4)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_66447,c_11903]) ).
tcf(c_67077,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk5,app(sk4,sk4)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_66447,c_11902]) ).
tcf(c_67078,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk5,app(sk4,sk4)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_66447,c_11901]) ).
tcf(c_67079,plain,
( cyclefreeP(cons(sk5,app(sk4,sk4)))
| ( app(app(skaf51(cons(sk5,app(sk4,sk4))),cons(skaf49(cons(sk5,app(sk4,sk4))),skaf52(cons(sk5,app(sk4,sk4))))),cons(skaf50(cons(sk5,app(sk4,sk4))),skaf53(cons(sk5,app(sk4,sk4))))) = cons(sk5,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_66447,c_414]) ).
tcf(c_67080,plain,
( totalorderP(cons(sk5,app(sk4,sk4)))
| ( app(app(skaf56(cons(sk5,app(sk4,sk4))),cons(skaf54(cons(sk5,app(sk4,sk4))),skaf57(cons(sk5,app(sk4,sk4))))),cons(skaf55(cons(sk5,app(sk4,sk4))),skaf58(cons(sk5,app(sk4,sk4))))) = cons(sk5,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_66447,c_413]) ).
tcf(c_67081,plain,
( strictorderP(cons(sk5,app(sk4,sk4)))
| ( app(app(skaf61(cons(sk5,app(sk4,sk4))),cons(skaf59(cons(sk5,app(sk4,sk4))),skaf62(cons(sk5,app(sk4,sk4))))),cons(skaf60(cons(sk5,app(sk4,sk4))),skaf63(cons(sk5,app(sk4,sk4))))) = cons(sk5,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_66447,c_412]) ).
tcf(c_67082,plain,
( totalorderedP(cons(sk5,app(sk4,sk4)))
| ( app(app(skaf66(cons(sk5,app(sk4,sk4))),cons(skaf64(cons(sk5,app(sk4,sk4))),skaf67(cons(sk5,app(sk4,sk4))))),cons(skaf65(cons(sk5,app(sk4,sk4))),skaf68(cons(sk5,app(sk4,sk4))))) = cons(sk5,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_66447,c_411]) ).
tcf(c_67083,plain,
( strictorderedP(cons(sk5,app(sk4,sk4)))
| ( app(app(skaf71(cons(sk5,app(sk4,sk4))),cons(skaf69(cons(sk5,app(sk4,sk4))),skaf72(cons(sk5,app(sk4,sk4))))),cons(skaf70(cons(sk5,app(sk4,sk4))),skaf73(cons(sk5,app(sk4,sk4))))) = cons(sk5,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_66447,c_410]) ).
tcf(c_67084,plain,
( duplicatefreeP(cons(sk5,app(sk4,sk4)))
| ( app(app(skaf75(cons(sk5,app(sk4,sk4))),cons(skaf74(cons(sk5,app(sk4,sk4))),skaf76(cons(sk5,app(sk4,sk4))))),cons(skaf74(cons(sk5,app(sk4,sk4))),skaf77(cons(sk5,app(sk4,sk4))))) = cons(sk5,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_66447,c_409]) ).
tcf(c_67085,plain,
( equalelemsP(cons(sk5,app(sk4,sk4)))
| ( app(skaf80(cons(sk5,app(sk4,sk4))),cons(skaf78(cons(sk5,app(sk4,sk4))),cons(skaf79(cons(sk5,app(sk4,sk4))),skaf81(cons(sk5,app(sk4,sk4)))))) = cons(sk5,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_66447,c_389]) ).
tcf(c_67086,plain,
hd(cons(sk6,cons(sk5,app(sk4,sk4)))) = sk6,
inference(superposition,[status(thm)],[c_66447,c_10017]) ).
tcf(c_67087,plain,
( ( cons(sk5,app(sk4,sk4)) = nil )
| ( cons(skaf83(cons(sk5,app(sk4,sk4))),skaf82(cons(sk5,app(sk4,sk4)))) = cons(sk5,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_66447,c_356]) ).
tcf(c_67088,plain,
( ( cons(sk5,app(sk4,sk4)) = nil )
| ( cons(hd(cons(sk5,app(sk4,sk4))),tl(cons(sk5,app(sk4,sk4)))) = cons(sk5,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_66447,c_351]) ).
tcf(c_67089,plain,
hd(cons(sk5,cons(sk5,app(sk4,sk4)))) = sk5,
inference(superposition,[status(thm)],[c_66447,c_10016]) ).
tcf(c_67090,plain,
tl(cons(sk6,cons(sk5,app(sk4,sk4)))) = cons(sk5,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_66447,c_9887]) ).
tcf(c_67091,plain,
tl(cons(sk5,cons(sk5,app(sk4,sk4)))) = cons(sk5,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_66447,c_9886]) ).
tcf(c_67092,plain,
( duplicatefreeP(cons(sk5,app(sk4,sk4)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_66447,c_6471]) ).
tcf(c_67093,plain,
app(nil,cons(sk5,app(sk4,sk4))) = cons(sk5,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_66447,c_321]) ).
tcf(c_67094,plain,
app(cons(sk5,app(sk4,sk4)),nil) = cons(sk5,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_66447,c_320]) ).
tcf(c_67205,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf72(X0)) = nil )
| ( cons(skac3,skaf72(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf72(X0)))
| ( skaf72(X0) != tl(X1) )
| ( hd(cons(skac3,skaf72(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63930,c_424]) ).
tcf(c_67215,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf71(X0)) = nil )
| ( cons(skac3,skaf71(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf71(X0)))
| ( skaf71(X0) != tl(X1) )
| ( hd(cons(skac3,skaf71(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63931,c_424]) ).
tcf(c_67225,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf68(X0)) = nil )
| ( cons(skac3,skaf68(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf68(X0)))
| ( skaf68(X0) != tl(X1) )
| ( hd(cons(skac3,skaf68(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63932,c_424]) ).
tcf(c_67244,plain,
~ rearsegP(sk4,cons(sk5,sk4)),
inference(global_subsumption_just,[status(thm)],[c_66645,c_66405,c_66645]) ).
tcf(c_67248,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,sk4),sk4))
| ~ ssList(app(app(skaf46(cons(sk5,sk4),sk4),sk4),X0)) ),
inference(superposition,[status(thm)],[c_66648,c_420]) ).
tcf(c_67249,plain,
! [X0: $i] :
( ( skaf46(cons(sk5,sk4),sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,sk4),sk4))
| ( app(X0,sk4) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_66648,c_398]) ).
tcf(c_67251,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(cons(sk5,sk4),sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(cons(sk5,sk4),X0)
| ~ ssList(skaf46(cons(sk5,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_66648,c_405]) ).
tcf(c_67254,plain,
( frontsegP(cons(sk5,sk4),skaf46(cons(sk5,sk4),sk4))
| ~ ssList(sk4)
| ~ ssList(skaf46(cons(sk5,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_66648,c_808]) ).
tcf(c_67256,plain,
! [X0: $i] :
( memberP(cons(sk5,sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(skaf46(cons(sk5,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_66648,c_388]) ).
tcf(c_67257,plain,
! [X0: $i] :
( rearsegP(cons(sk5,sk4),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(skaf46(cons(sk5,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_66648,c_383]) ).
tcf(c_67258,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,sk4),sk4))
| ( app(skaf46(cons(sk5,sk4),sk4),X0) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_66648,c_397]) ).
tcf(c_67259,plain,
! [X0: $i] :
( memberP(cons(sk5,sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(skaf46(cons(sk5,sk4),sk4))
| ~ memberP(skaf46(cons(sk5,sk4),sk4),X0) ),
inference(superposition,[status(thm)],[c_66648,c_387]) ).
tcf(c_67260,plain,
! [X0: $i] :
( frontsegP(cons(sk5,sk4),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,sk4),sk4))
| ~ frontsegP(skaf46(cons(sk5,sk4),sk4),X0) ),
inference(superposition,[status(thm)],[c_66648,c_384]) ).
tcf(c_67261,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,sk4),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(skaf46(cons(sk5,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_66648,c_419]) ).
tcf(c_67264,plain,
frontsegP(cons(sk5,sk4),skaf46(cons(sk5,sk4),sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_67254,c_6486,c_297]) ).
tcf(c_67267,plain,
! [X0: $i] :
( frontsegP(cons(sk5,sk4),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(cons(sk5,sk4),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67260,c_6486,c_297]) ).
tcf(c_67271,plain,
! [X0: $i] :
( memberP(cons(sk5,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(cons(sk5,sk4),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67259,c_6486,c_297]) ).
tcf(c_67276,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(cons(sk5,sk4),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk5,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67251,c_6486,c_297]) ).
tcf(c_67281,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(skaf46(cons(sk5,sk4),sk4),X0) != cons(sk5,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67258,c_6486,c_297]) ).
tcf(c_67285,plain,
! [X0: $i] :
( ( skaf46(cons(sk5,sk4),sk4) = X0 )
| ~ ssList(X0)
| ( app(X0,sk4) != cons(sk5,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67249,c_6486,c_297]) ).
tcf(c_67289,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,sk4),sk4))
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(light_normalisation,[status(thm)],[c_67248,c_66648]) ).
tcf(c_67296,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk5,sk4),sk4))
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(X0,cons(sk5,sk4))
| ~ ssList(skaf46(cons(sk5,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_67264,c_401]) ).
tcf(c_67297,plain,
( ( app(skaf46(cons(sk5,sk4),sk4),skaf45(cons(sk5,sk4),skaf46(cons(sk5,sk4),sk4))) = cons(sk5,sk4) )
| ~ ssList(cons(sk5,sk4))
| ~ ssList(skaf46(cons(sk5,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_67264,c_379]) ).
tcf(c_67298,plain,
( ( skaf46(cons(sk5,sk4),sk4) = cons(sk5,sk4) )
| ~ ssList(cons(sk5,sk4))
| ~ ssList(skaf46(cons(sk5,sk4),sk4))
| ~ frontsegP(skaf46(cons(sk5,sk4),sk4),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_67264,c_376]) ).
tcf(c_67299,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk5,sk4),sk4))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67296,c_66402,c_297]) ).
tcf(c_67303,plain,
( ( skaf46(cons(sk5,sk4),sk4) = cons(sk5,sk4) )
| ~ frontsegP(skaf46(cons(sk5,sk4),sk4),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67298,c_66402,c_297]) ).
tcf(c_67306,plain,
app(skaf46(cons(sk5,sk4),sk4),skaf45(cons(sk5,sk4),skaf46(cons(sk5,sk4),sk4))) = cons(sk5,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_67297,c_66402,c_297]) ).
tcf(c_67315,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_383,c_66649]) ).
tcf(c_67316,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk5,sk4)),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(X0,cons(sk5,sk4))) ),
inference(superposition,[status(thm)],[c_807,c_66649]) ).
tcf(c_67318,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk5,sk4)),sk4)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sk5,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67316,c_66402]) ).
tcf(c_67322,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67315,c_66402]) ).
tcf(c_67330,plain,
frontsegP(cons(sk5,app(sk4,sk4)),cons(sk5,sk4)),
inference(global_subsumption_just,[status(thm)],[c_65164,c_65164,c_66402]) ).
tcf(c_67332,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk5,sk4))
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ frontsegP(X0,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_67330,c_401]) ).
tcf(c_67333,plain,
( ( app(cons(sk5,sk4),skaf45(cons(sk5,app(sk4,sk4)),cons(sk5,sk4))) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_67330,c_379]) ).
tcf(c_67334,plain,
( ( cons(sk5,app(sk4,sk4)) = cons(sk5,sk4) )
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ frontsegP(cons(sk5,sk4),cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_67330,c_376]) ).
tcf(c_67336,plain,
( frontsegP(app(sk4,sk4),sk4)
| ~ ssItem(sk5)
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_67330,c_421]) ).
tcf(c_67337,plain,
( frontsegP(app(sk4,sk4),sk4)
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67336,c_6485,c_6486]) ).
tcf(c_67340,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk5,sk4))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67332,c_66402,c_66447]) ).
tcf(c_67344,plain,
( ( cons(sk5,app(sk4,sk4)) = cons(sk5,sk4) )
| ~ frontsegP(cons(sk5,sk4),cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67334,c_66402,c_66447]) ).
tcf(c_67347,plain,
app(cons(sk5,sk4),skaf45(cons(sk5,app(sk4,sk4)),cons(sk5,sk4))) = cons(sk5,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_67333,c_66402,c_66447]) ).
tcf(c_67353,plain,
! [X0: $i] :
( frontsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_67337,c_401]) ).
tcf(c_67354,plain,
( ( app(sk4,skaf45(app(sk4,sk4),sk4)) = app(sk4,sk4) )
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_67337,c_379]) ).
tcf(c_67355,plain,
( ( app(sk4,sk4) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk4,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_67337,c_376]) ).
tcf(c_67356,plain,
( ( app(sk4,sk4) = sk4 )
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk4,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67355,c_6486]) ).
tcf(c_67360,plain,
( ( app(sk4,skaf45(app(sk4,sk4),sk4)) = app(sk4,sk4) )
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67354,c_6486]) ).
tcf(c_67363,plain,
! [X0: $i] :
( frontsegP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67353,c_6486]) ).
tcf(c_67373,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk5,sk7))
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ frontsegP(X0,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_65657,c_401]) ).
tcf(c_67374,plain,
( ( app(cons(sk5,sk7),skaf45(cons(sk5,app(sk7,sk4)),cons(sk5,sk7))) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_65657,c_379]) ).
tcf(c_67375,plain,
( ( cons(sk5,app(sk7,sk4)) = cons(sk5,sk7) )
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ frontsegP(cons(sk5,sk7),cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_65657,c_376]) ).
tcf(c_67377,plain,
( frontsegP(app(sk7,sk4),sk7)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65657,c_421]) ).
tcf(c_67378,plain,
( frontsegP(app(sk7,sk4),sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67377,c_6485,c_6483]) ).
tcf(c_67452,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk5,sk8))
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk4)))
| ~ frontsegP(X0,cons(sk5,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_65997,c_401]) ).
tcf(c_67453,plain,
( ( app(cons(sk5,sk8),skaf45(cons(sk5,app(sk8,sk4)),cons(sk5,sk8))) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_65997,c_379]) ).
tcf(c_67454,plain,
( ( cons(sk5,app(sk8,sk4)) = cons(sk5,sk8) )
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk4)))
| ~ frontsegP(cons(sk5,sk8),cons(sk5,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_65997,c_376]) ).
tcf(c_67456,plain,
( frontsegP(app(sk8,sk4),sk8)
| ~ ssItem(sk5)
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65997,c_421]) ).
tcf(c_67457,plain,
( frontsegP(app(sk8,sk4),sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk5,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67456,c_6485,c_6482]) ).
tcf(c_67475,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf67(X0)) = nil )
| ( cons(skac3,skaf67(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf67(X0)))
| ( skaf67(X0) != tl(X1) )
| ( hd(cons(skac3,skaf67(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63933,c_424]) ).
tcf(c_67485,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf66(X0)) = nil )
| ( cons(skac3,skaf66(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf66(X0)))
| ( skaf66(X0) != tl(X1) )
| ( hd(cons(skac3,skaf66(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63934,c_424]) ).
tcf(c_67495,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf63(X0)) = nil )
| ( cons(skac3,skaf63(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf63(X0)))
| ( skaf63(X0) != tl(X1) )
| ( hd(cons(skac3,skaf63(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63935,c_424]) ).
tcf(c_67505,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf62(X0)) = nil )
| ( cons(skac3,skaf62(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf62(X0)))
| ( skaf62(X0) != tl(X1) )
| ( hd(cons(skac3,skaf62(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63936,c_424]) ).
tcf(c_67515,plain,
( frontsegP(sk8,nil)
| ~ frontsegP(nil,sk4) ),
inference(light_normalisation,[status(thm)],[c_23275,c_29872]) ).
tcf(c_67516,plain,
( frontsegP(sk7,nil)
| ~ frontsegP(nil,sk4) ),
inference(light_normalisation,[status(thm)],[c_23278,c_29872]) ).
tcf(c_67517,plain,
( frontsegP(sk8,nil)
| ~ frontsegP(nil,sk7) ),
inference(light_normalisation,[status(thm)],[c_23358,c_29853]) ).
tcf(c_67518,plain,
( frontsegP(sk4,nil)
| ~ frontsegP(nil,sk7) ),
inference(light_normalisation,[status(thm)],[c_23361,c_29853]) ).
tcf(c_67523,plain,
cons(sk6,app(sk4,sk4)) = app(cons(sk6,sk4),sk4),
inference(superposition,[status(thm)],[c_6486,c_64778]) ).
tcf(c_67524,plain,
cons(sk6,app(sk7,sk4)) = app(cons(sk6,sk7),sk4),
inference(superposition,[status(thm)],[c_6483,c_64778]) ).
tcf(c_67525,plain,
cons(sk6,app(sk8,sk4)) = app(cons(sk6,sk8),sk4),
inference(superposition,[status(thm)],[c_6482,c_64778]) ).
tcf(c_67526,plain,
cons(sk6,app(nil,sk4)) = app(cons(sk6,nil),sk4),
inference(superposition,[status(thm)],[c_255,c_64778]) ).
tcf(c_67527,plain,
! [X0: $i] : cons(sk6,app(skaf82(X0),sk4)) = app(cons(sk6,skaf82(X0)),sk4),
inference(superposition,[status(thm)],[c_260,c_64778]) ).
tcf(c_67528,plain,
! [X0: $i] : cons(sk6,app(skaf81(X0),sk4)) = app(cons(sk6,skaf81(X0)),sk4),
inference(superposition,[status(thm)],[c_261,c_64778]) ).
tcf(c_67529,plain,
! [X0: $i] : cons(sk6,app(skaf80(X0),sk4)) = app(cons(sk6,skaf80(X0)),sk4),
inference(superposition,[status(thm)],[c_262,c_64778]) ).
tcf(c_67530,plain,
! [X0: $i] : cons(sk6,app(skaf77(X0),sk4)) = app(cons(sk6,skaf77(X0)),sk4),
inference(superposition,[status(thm)],[c_265,c_64778]) ).
tcf(c_67531,plain,
! [X0: $i] : cons(sk6,app(skaf76(X0),sk4)) = app(cons(sk6,skaf76(X0)),sk4),
inference(superposition,[status(thm)],[c_266,c_64778]) ).
tcf(c_67532,plain,
! [X0: $i] : cons(sk6,app(skaf75(X0),sk4)) = app(cons(sk6,skaf75(X0)),sk4),
inference(superposition,[status(thm)],[c_267,c_64778]) ).
tcf(c_67533,plain,
! [X0: $i] : cons(sk6,app(skaf73(X0),sk4)) = app(cons(sk6,skaf73(X0)),sk4),
inference(superposition,[status(thm)],[c_269,c_64778]) ).
tcf(c_67534,plain,
! [X0: $i] : cons(sk6,app(skaf72(X0),sk4)) = app(cons(sk6,skaf72(X0)),sk4),
inference(superposition,[status(thm)],[c_270,c_64778]) ).
tcf(c_67535,plain,
! [X0: $i] : cons(sk6,app(skaf71(X0),sk4)) = app(cons(sk6,skaf71(X0)),sk4),
inference(superposition,[status(thm)],[c_271,c_64778]) ).
tcf(c_67536,plain,
! [X0: $i] : cons(sk6,app(skaf68(X0),sk4)) = app(cons(sk6,skaf68(X0)),sk4),
inference(superposition,[status(thm)],[c_274,c_64778]) ).
tcf(c_67537,plain,
! [X0: $i] : cons(sk6,app(skaf67(X0),sk4)) = app(cons(sk6,skaf67(X0)),sk4),
inference(superposition,[status(thm)],[c_275,c_64778]) ).
tcf(c_67538,plain,
! [X0: $i] : cons(sk6,app(skaf66(X0),sk4)) = app(cons(sk6,skaf66(X0)),sk4),
inference(superposition,[status(thm)],[c_276,c_64778]) ).
tcf(c_67539,plain,
! [X0: $i] : cons(sk6,app(skaf63(X0),sk4)) = app(cons(sk6,skaf63(X0)),sk4),
inference(superposition,[status(thm)],[c_279,c_64778]) ).
tcf(c_67540,plain,
! [X0: $i] : cons(sk6,app(skaf62(X0),sk4)) = app(cons(sk6,skaf62(X0)),sk4),
inference(superposition,[status(thm)],[c_280,c_64778]) ).
tcf(c_67541,plain,
! [X0: $i] : cons(sk6,app(skaf61(X0),sk4)) = app(cons(sk6,skaf61(X0)),sk4),
inference(superposition,[status(thm)],[c_281,c_64778]) ).
tcf(c_67542,plain,
! [X0: $i] : cons(sk6,app(skaf58(X0),sk4)) = app(cons(sk6,skaf58(X0)),sk4),
inference(superposition,[status(thm)],[c_284,c_64778]) ).
tcf(c_67543,plain,
! [X0: $i] : cons(sk6,app(skaf57(X0),sk4)) = app(cons(sk6,skaf57(X0)),sk4),
inference(superposition,[status(thm)],[c_285,c_64778]) ).
tcf(c_67544,plain,
! [X0: $i] : cons(sk6,app(skaf56(X0),sk4)) = app(cons(sk6,skaf56(X0)),sk4),
inference(superposition,[status(thm)],[c_286,c_64778]) ).
tcf(c_67545,plain,
! [X0: $i] : cons(sk6,app(skaf53(X0),sk4)) = app(cons(sk6,skaf53(X0)),sk4),
inference(superposition,[status(thm)],[c_289,c_64778]) ).
tcf(c_67546,plain,
! [X0: $i] : cons(sk6,app(skaf52(X0),sk4)) = app(cons(sk6,skaf52(X0)),sk4),
inference(superposition,[status(thm)],[c_290,c_64778]) ).
tcf(c_67547,plain,
! [X0: $i] : cons(sk6,app(skaf51(X0),sk4)) = app(cons(sk6,skaf51(X0)),sk4),
inference(superposition,[status(thm)],[c_291,c_64778]) ).
tcf(c_67548,plain,
! [X0: $i,X1: $i] : cons(sk6,app(skaf48(X0,X1),sk4)) = app(cons(sk6,skaf48(X0,X1)),sk4),
inference(superposition,[status(thm)],[c_295,c_64778]) ).
tcf(c_67549,plain,
! [X0: $i,X1: $i] : cons(sk6,app(skaf47(X0,X1),sk4)) = app(cons(sk6,skaf47(X0,X1)),sk4),
inference(superposition,[status(thm)],[c_296,c_64778]) ).
tcf(c_67550,plain,
! [X0: $i,X1: $i] : cons(sk6,app(skaf46(X0,X1),sk4)) = app(cons(sk6,skaf46(X0,X1)),sk4),
inference(superposition,[status(thm)],[c_297,c_64778]) ).
tcf(c_67551,plain,
! [X0: $i,X1: $i] : cons(sk6,app(skaf45(X0,X1),sk4)) = app(cons(sk6,skaf45(X0,X1)),sk4),
inference(superposition,[status(thm)],[c_298,c_64778]) ).
tcf(c_67552,plain,
! [X0: $i,X1: $i] : cons(sk6,app(skaf43(X0,X1),sk4)) = app(cons(sk6,skaf43(X0,X1)),sk4),
inference(superposition,[status(thm)],[c_299,c_64778]) ).
tcf(c_67553,plain,
! [X0: $i,X1: $i] : cons(sk6,app(skaf42(X0,X1),sk4)) = app(cons(sk6,skaf42(X0,X1)),sk4),
inference(superposition,[status(thm)],[c_300,c_64778]) ).
tcf(c_67554,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,app(tl(X0),sk4)) = app(cons(sk6,tl(X0)),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_64778]) ).
tcf(c_67555,plain,
! [X0: $i,X1: $i] :
( ( cons(sk6,app(app(X1,X0),sk4)) = app(cons(sk6,app(X1,X0)),sk4) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_64778]) ).
tcf(c_67556,plain,
! [X0: $i,X1: $i] :
( ( cons(sk6,app(cons(X1,X0),sk4)) = app(cons(sk6,cons(X1,X0)),sk4) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_64778]) ).
tcf(c_67557,plain,
cons(sk6,app(iPr_def_16,sk4)) = app(cons(sk6,iPr_def_16),sk4),
inference(superposition,[status(thm)],[c_9020,c_64778]) ).
tcf(c_67558,plain,
cons(sk6,app(iPr_def_13,sk4)) = app(cons(sk6,iPr_def_13),sk4),
inference(superposition,[status(thm)],[c_9527,c_64778]) ).
tcf(c_67559,plain,
cons(sk6,app(iPr_def_12,sk4)) = app(cons(sk6,iPr_def_12),sk4),
inference(superposition,[status(thm)],[c_9489,c_64778]) ).
tcf(c_67560,plain,
cons(sk6,app(iPr_def_15,sk4)) = app(cons(sk6,iPr_def_15),sk4),
inference(superposition,[status(thm)],[c_24748,c_64778]) ).
tcf(c_67561,plain,
cons(sk6,app(iPr_def_14,sk4)) = app(cons(sk6,iPr_def_14),sk4),
inference(superposition,[status(thm)],[c_9488,c_64778]) ).
tcf(c_67562,plain,
cons(sk6,app(cons(sk5,sk4),sk4)) = app(cons(sk6,cons(sk5,sk4)),sk4),
inference(superposition,[status(thm)],[c_66402,c_64778]) ).
tcf(c_67563,plain,
cons(sk6,app(cons(sk6,sk4),sk4)) = app(cons(sk6,cons(sk6,sk4)),sk4),
inference(superposition,[status(thm)],[c_28942,c_64778]) ).
tcf(c_67564,plain,
cons(sk6,app(cons(sk6,sk7),sk4)) = app(cons(sk6,cons(sk6,sk7)),sk4),
inference(superposition,[status(thm)],[c_28940,c_64778]) ).
tcf(c_67565,plain,
cons(sk6,app(cons(sk6,sk8),sk4)) = app(cons(sk6,cons(sk6,sk8)),sk4),
inference(superposition,[status(thm)],[c_28938,c_64778]) ).
tcf(c_67566,plain,
( ( cons(sk6,app(app(sk4,app(sk4,sk4)),sk4)) = app(cons(sk6,app(sk4,app(sk4,sk4))),sk4) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_64778]) ).
tcf(c_67567,plain,
( ( cons(sk6,app(app(sk4,app(sk4,sk7)),sk4)) = app(cons(sk6,app(sk4,app(sk4,sk7))),sk4) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_64778]) ).
tcf(c_67568,plain,
( ( cons(sk6,app(app(sk4,app(sk4,sk8)),sk4)) = app(cons(sk6,app(sk4,app(sk4,sk8))),sk4) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_64778]) ).
tcf(c_67569,plain,
( ( cons(sk6,app(app(sk7,app(sk4,sk4)),sk4)) = app(cons(sk6,app(sk7,app(sk4,sk4))),sk4) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_64778]) ).
tcf(c_67570,plain,
( ( cons(sk6,app(app(sk7,app(sk4,sk7)),sk4)) = app(cons(sk6,app(sk7,app(sk4,sk7))),sk4) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_64778]) ).
tcf(c_67571,plain,
( ( cons(sk6,app(app(sk7,app(sk4,sk8)),sk4)) = app(cons(sk6,app(sk7,app(sk4,sk8))),sk4) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_64778]) ).
tcf(c_67572,plain,
( ( cons(sk6,app(app(sk8,app(sk4,sk4)),sk4)) = app(cons(sk6,app(sk8,app(sk4,sk4))),sk4) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_64778]) ).
tcf(c_67573,plain,
( ( cons(sk6,app(app(sk8,app(sk4,sk7)),sk4)) = app(cons(sk6,app(sk8,app(sk4,sk7))),sk4) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_64778]) ).
tcf(c_67574,plain,
( ( cons(sk6,app(app(sk8,app(sk4,sk8)),sk4)) = app(cons(sk6,app(sk8,app(sk4,sk8))),sk4) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_64778]) ).
tcf(c_67575,plain,
( ( cons(sk6,app(app(sk4,app(sk7,sk4)),sk4)) = app(cons(sk6,app(sk4,app(sk7,sk4))),sk4) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_64778]) ).
tcf(c_67576,plain,
( ( cons(sk6,app(app(sk4,app(sk7,sk7)),sk4)) = app(cons(sk6,app(sk4,app(sk7,sk7))),sk4) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_64778]) ).
tcf(c_67577,plain,
( ( cons(sk6,app(app(sk4,app(sk7,sk8)),sk4)) = app(cons(sk6,app(sk4,app(sk7,sk8))),sk4) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_64778]) ).
tcf(c_67578,plain,
( ( cons(sk6,app(app(sk7,app(sk7,sk4)),sk4)) = app(cons(sk6,app(sk7,app(sk7,sk4))),sk4) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_64778]) ).
tcf(c_67579,plain,
( ( cons(sk6,app(app(sk7,app(sk7,sk7)),sk4)) = app(cons(sk6,app(sk7,app(sk7,sk7))),sk4) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_64778]) ).
tcf(c_67580,plain,
( ( cons(sk6,app(app(sk7,app(sk7,sk8)),sk4)) = app(cons(sk6,app(sk7,app(sk7,sk8))),sk4) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_64778]) ).
tcf(c_67581,plain,
( ( cons(sk6,app(app(sk8,app(sk7,sk4)),sk4)) = app(cons(sk6,app(sk8,app(sk7,sk4))),sk4) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_64778]) ).
tcf(c_67582,plain,
( ( cons(sk6,app(app(sk8,app(sk7,sk7)),sk4)) = app(cons(sk6,app(sk8,app(sk7,sk7))),sk4) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_64778]) ).
tcf(c_67583,plain,
( ( cons(sk6,app(app(sk8,app(sk7,sk8)),sk4)) = app(cons(sk6,app(sk8,app(sk7,sk8))),sk4) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_64778]) ).
tcf(c_67584,plain,
( ( cons(sk6,app(app(sk4,app(sk8,sk4)),sk4)) = app(cons(sk6,app(sk4,app(sk8,sk4))),sk4) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_64778]) ).
tcf(c_67585,plain,
( ( cons(sk6,app(app(sk4,app(sk8,sk7)),sk4)) = app(cons(sk6,app(sk4,app(sk8,sk7))),sk4) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_64778]) ).
tcf(c_67586,plain,
( ( cons(sk6,app(app(sk4,app(sk8,sk8)),sk4)) = app(cons(sk6,app(sk4,app(sk8,sk8))),sk4) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_64778]) ).
tcf(c_67587,plain,
( ( cons(sk6,app(app(sk7,app(sk8,sk4)),sk4)) = app(cons(sk6,app(sk7,app(sk8,sk4))),sk4) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_64778]) ).
tcf(c_67588,plain,
( ( cons(sk6,app(app(sk7,app(sk8,sk7)),sk4)) = app(cons(sk6,app(sk7,app(sk8,sk7))),sk4) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_64778]) ).
tcf(c_67589,plain,
( ( cons(sk6,app(app(sk7,app(sk8,sk8)),sk4)) = app(cons(sk6,app(sk7,app(sk8,sk8))),sk4) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_64778]) ).
tcf(c_67590,plain,
( ( cons(sk6,app(app(sk8,app(sk8,sk4)),sk4)) = app(cons(sk6,app(sk8,app(sk8,sk4))),sk4) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_64778]) ).
tcf(c_67591,plain,
( ( cons(sk6,app(app(sk8,app(sk8,sk7)),sk4)) = app(cons(sk6,app(sk8,app(sk8,sk7))),sk4) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_64778]) ).
tcf(c_67592,plain,
( ( cons(sk6,app(app(sk8,app(sk8,sk8)),sk4)) = app(cons(sk6,app(sk8,app(sk8,sk8))),sk4) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_64778]) ).
tcf(c_67593,plain,
cons(sk6,app(cons(sk5,app(sk4,sk4)),sk4)) = app(cons(sk6,cons(sk5,app(sk4,sk4))),sk4),
inference(superposition,[status(thm)],[c_66447,c_64778]) ).
tcf(c_67594,plain,
( ( cons(sk6,app(cons(sk5,app(sk7,sk4)),sk4)) = app(cons(sk6,cons(sk5,app(sk7,sk4))),sk4) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_64778]) ).
tcf(c_67595,plain,
( ( cons(sk6,app(cons(sk5,app(sk8,sk4)),sk4)) = app(cons(sk6,cons(sk5,app(sk8,sk4))),sk4) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_64778]) ).
tcf(c_67596,plain,
cons(sk6,cons(sk6,sk4)) = app(cons(sk6,iPr_def_14),sk4),
inference(light_normalisation,[status(thm)],[c_67561,c_28958]) ).
tcf(c_67597,plain,
cons(sk6,cons(sk5,sk4)) = app(cons(sk6,iPr_def_12),sk4),
inference(light_normalisation,[status(thm)],[c_67559,c_64937]) ).
tcf(c_67599,plain,
cons(sk6,cons(sk5,app(sk4,sk4))) = app(cons(sk6,cons(sk5,sk4)),sk4),
inference(light_normalisation,[status(thm)],[c_67562,c_64867]) ).
tcf(c_68203,plain,
( ssList(cons(sk6,app(sk4,sk4)))
| ~ ssList(sk4)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_67523,c_332]) ).
tcf(c_68204,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(app(cons(sk6,sk4),sk4),X0)) ),
inference(superposition,[status(thm)],[c_67523,c_420]) ).
tcf(c_68205,plain,
! [X0: $i] :
( ( cons(sk6,sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ( cons(sk6,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_67523,c_398]) ).
tcf(c_68207,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(cons(sk6,sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,sk4))
| ~ memberP(cons(sk6,app(sk4,sk4)),X0) ),
inference(superposition,[status(thm)],[c_67523,c_405]) ).
tcf(c_68208,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,sk4))
| ( cons(sk6,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_67523,c_366]) ).
tcf(c_68209,plain,
( ( cons(sk6,sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,sk4))
| ( cons(sk6,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_67523,c_365]) ).
tcf(c_68210,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),cons(sk6,sk4))
| ~ ssList(sk4)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_67523,c_808]) ).
tcf(c_68211,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_67523,c_807]) ).
tcf(c_68212,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_67523,c_388]) ).
tcf(c_68213,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_67523,c_383]) ).
tcf(c_68214,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ( app(cons(sk6,sk4),X0) != cons(sk6,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_67523,c_397]) ).
tcf(c_68215,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,sk4))
| ~ memberP(cons(sk6,sk4),X0) ),
inference(superposition,[status(thm)],[c_67523,c_387]) ).
tcf(c_68216,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(cons(sk6,sk4),X0) ),
inference(superposition,[status(thm)],[c_67523,c_384]) ).
tcf(c_68217,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk4,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_67523,c_419]) ).
tcf(c_68218,plain,
( ( cons(sk6,sk4) = iPr_def_14 )
| ~ ssList(cons(sk6,sk4))
| ( cons(sk6,app(sk4,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_67523,c_51225]) ).
tcf(c_68219,plain,
( ( cons(sk6,sk4) = nil )
| ~ ssList(cons(sk6,sk4))
| ( cons(sk6,app(sk4,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_67523,c_17629]) ).
tcf(c_68220,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(app(cons(sk6,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_67523,c_36827]) ).
tcf(c_68221,plain,
! [X0: $i] :
( segmentP(cons(sk6,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_67523,c_36763]) ).
tcf(c_68222,plain,
ssList(cons(sk6,app(sk4,sk4))),
inference(forward_subsumption_resolution,[status(thm)],[c_68203,c_6486,c_28942]) ).
tcf(c_68223,plain,
rearsegP(cons(sk6,app(sk4,sk4)),sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_68211,c_6486,c_28942]) ).
tcf(c_68224,plain,
! [X0: $i] :
( segmentP(cons(sk6,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68221,c_6486]) ).
tcf(c_68228,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(light_normalisation,[status(thm)],[c_68220,c_67523]) ).
tcf(c_68229,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk4)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68228,c_6486]) ).
tcf(c_68232,plain,
frontsegP(cons(sk6,app(sk4,sk4)),cons(sk6,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_68210,c_6486,c_28942]) ).
tcf(c_68233,plain,
cons(sk6,app(sk4,sk4)) != sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_68219,c_37616,c_28942]) ).
tcf(c_68237,plain,
( ( cons(sk6,sk4) = iPr_def_14 )
| ( cons(sk6,app(sk4,sk4)) != cons(sk6,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68218,c_28942]) ).
tcf(c_68240,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68213,c_6486,c_28942]) ).
tcf(c_68244,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68212,c_6486,c_28942]) ).
tcf(c_68248,plain,
cons(sk6,app(sk4,sk4)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_68209,c_37616,c_6486,c_28942]) ).
tcf(c_68249,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68216,c_6486,c_28942]) ).
tcf(c_68253,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68215,c_6486,c_28942]) ).
tcf(c_68257,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk4,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68217,c_6486,c_28942]) ).
tcf(c_68262,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(cons(sk6,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk4,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68207,c_6486,c_28942]) ).
tcf(c_68267,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(cons(sk6,sk4),X0) != cons(sk6,app(sk4,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68214,c_6486,c_28942]) ).
tcf(c_68271,plain,
! [X0: $i] :
( ( cons(sk6,sk4) = X0 )
| ~ ssList(X0)
| ( cons(sk6,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68205,c_6486,c_28942]) ).
tcf(c_68275,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(cons(sk6,app(sk4,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_68204,c_67523]) ).
tcf(c_68276,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk4,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,app(sk4,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68275,c_6486,c_28942]) ).
tcf(c_68337,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk4,sk4)),sk8),X0) = app(cons(sk6,app(sk4,sk4)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68222,c_16217]) ).
tcf(c_68338,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk4,sk4)),sk7),X0) = app(cons(sk6,app(sk4,sk4)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68222,c_16216]) ).
tcf(c_68339,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk4,sk4)),sk4),X0) = app(cons(sk6,app(sk4,sk4)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68222,c_16215]) ).
tcf(c_68340,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk6,app(sk4,sk4)))) = app(cons(X1,X0),cons(sk6,app(sk4,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68222,c_404]) ).
tcf(c_68341,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk6,app(sk4,sk4))),X0) = app(X1,app(cons(sk6,app(sk4,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68222,c_396]) ).
tcf(c_68342,plain,
! [X0: $i] :
( ( cons(sk6,app(sk4,sk4)) = nil )
| ( app(tl(cons(sk6,app(sk4,sk4))),X0) = tl(app(cons(sk6,app(sk4,sk4)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68222,c_380]) ).
tcf(c_68343,plain,
! [X0: $i] :
( ( cons(sk6,app(sk4,sk4)) = nil )
| ( hd(app(cons(sk6,app(sk4,sk4)),X0)) = hd(cons(sk6,app(sk4,sk4))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68222,c_370]) ).
tcf(c_68344,plain,
cons(sk6,app(cons(sk6,app(sk4,sk4)),sk4)) = app(cons(sk6,cons(sk6,app(sk4,sk4))),sk4),
inference(superposition,[status(thm)],[c_68222,c_64778]) ).
tcf(c_68345,plain,
cons(sk5,app(cons(sk6,app(sk4,sk4)),sk4)) = app(cons(sk5,cons(sk6,app(sk4,sk4))),sk4),
inference(superposition,[status(thm)],[c_68222,c_64777]) ).
tcf(c_68346,plain,
tl(cons(skac3,cons(sk6,app(sk4,sk4)))) = cons(sk6,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_68222,c_9890]) ).
tcf(c_68347,plain,
app(app(sk8,sk8),cons(sk6,app(sk4,sk4))) = app(sk8,app(sk8,cons(sk6,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_68222,c_56349]) ).
tcf(c_68348,plain,
app(app(sk7,sk8),cons(sk6,app(sk4,sk4))) = app(sk7,app(sk8,cons(sk6,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_68222,c_56348]) ).
tcf(c_68349,plain,
app(app(sk4,sk8),cons(sk6,app(sk4,sk4))) = app(sk4,app(sk8,cons(sk6,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_68222,c_56347]) ).
tcf(c_68350,plain,
app(app(sk8,sk7),cons(sk6,app(sk4,sk4))) = app(sk8,app(sk7,cons(sk6,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_68222,c_45540]) ).
tcf(c_68351,plain,
app(app(sk7,sk7),cons(sk6,app(sk4,sk4))) = app(sk7,app(sk7,cons(sk6,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_68222,c_45539]) ).
tcf(c_68352,plain,
app(app(sk4,sk7),cons(sk6,app(sk4,sk4))) = app(sk4,app(sk7,cons(sk6,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_68222,c_45538]) ).
tcf(c_68353,plain,
app(app(sk8,sk4),cons(sk6,app(sk4,sk4))) = app(sk8,app(sk4,cons(sk6,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_68222,c_37633]) ).
tcf(c_68354,plain,
app(app(sk7,sk4),cons(sk6,app(sk4,sk4))) = app(sk7,app(sk4,cons(sk6,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_68222,c_37632]) ).
tcf(c_68355,plain,
app(app(sk4,sk4),cons(sk6,app(sk4,sk4))) = app(sk4,app(sk4,cons(sk6,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_68222,c_37631]) ).
tcf(c_68356,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk6,app(sk4,sk4))) = tl(app(sk8,cons(sk6,app(sk4,sk4)))) ) ),
inference(superposition,[status(thm)],[c_68222,c_14611]) ).
tcf(c_68357,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk6,app(sk4,sk4))) = tl(app(sk7,cons(sk6,app(sk4,sk4)))) ) ),
inference(superposition,[status(thm)],[c_68222,c_14610]) ).
tcf(c_68358,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk6,app(sk4,sk4))) = tl(app(sk4,cons(sk6,app(sk4,sk4)))) ) ),
inference(superposition,[status(thm)],[c_68222,c_14609]) ).
tcf(c_68359,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk6,app(sk4,sk4)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_68222,c_11903]) ).
tcf(c_68360,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk6,app(sk4,sk4)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_68222,c_11902]) ).
tcf(c_68361,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk6,app(sk4,sk4)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_68222,c_11901]) ).
tcf(c_68362,plain,
( cyclefreeP(cons(sk6,app(sk4,sk4)))
| ( app(app(skaf51(cons(sk6,app(sk4,sk4))),cons(skaf49(cons(sk6,app(sk4,sk4))),skaf52(cons(sk6,app(sk4,sk4))))),cons(skaf50(cons(sk6,app(sk4,sk4))),skaf53(cons(sk6,app(sk4,sk4))))) = cons(sk6,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_68222,c_414]) ).
tcf(c_68363,plain,
( totalorderP(cons(sk6,app(sk4,sk4)))
| ( app(app(skaf56(cons(sk6,app(sk4,sk4))),cons(skaf54(cons(sk6,app(sk4,sk4))),skaf57(cons(sk6,app(sk4,sk4))))),cons(skaf55(cons(sk6,app(sk4,sk4))),skaf58(cons(sk6,app(sk4,sk4))))) = cons(sk6,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_68222,c_413]) ).
tcf(c_68364,plain,
( strictorderP(cons(sk6,app(sk4,sk4)))
| ( app(app(skaf61(cons(sk6,app(sk4,sk4))),cons(skaf59(cons(sk6,app(sk4,sk4))),skaf62(cons(sk6,app(sk4,sk4))))),cons(skaf60(cons(sk6,app(sk4,sk4))),skaf63(cons(sk6,app(sk4,sk4))))) = cons(sk6,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_68222,c_412]) ).
tcf(c_68365,plain,
( totalorderedP(cons(sk6,app(sk4,sk4)))
| ( app(app(skaf66(cons(sk6,app(sk4,sk4))),cons(skaf64(cons(sk6,app(sk4,sk4))),skaf67(cons(sk6,app(sk4,sk4))))),cons(skaf65(cons(sk6,app(sk4,sk4))),skaf68(cons(sk6,app(sk4,sk4))))) = cons(sk6,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_68222,c_411]) ).
tcf(c_68366,plain,
( strictorderedP(cons(sk6,app(sk4,sk4)))
| ( app(app(skaf71(cons(sk6,app(sk4,sk4))),cons(skaf69(cons(sk6,app(sk4,sk4))),skaf72(cons(sk6,app(sk4,sk4))))),cons(skaf70(cons(sk6,app(sk4,sk4))),skaf73(cons(sk6,app(sk4,sk4))))) = cons(sk6,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_68222,c_410]) ).
tcf(c_68367,plain,
( duplicatefreeP(cons(sk6,app(sk4,sk4)))
| ( app(app(skaf75(cons(sk6,app(sk4,sk4))),cons(skaf74(cons(sk6,app(sk4,sk4))),skaf76(cons(sk6,app(sk4,sk4))))),cons(skaf74(cons(sk6,app(sk4,sk4))),skaf77(cons(sk6,app(sk4,sk4))))) = cons(sk6,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_68222,c_409]) ).
tcf(c_68368,plain,
( equalelemsP(cons(sk6,app(sk4,sk4)))
| ( app(skaf80(cons(sk6,app(sk4,sk4))),cons(skaf78(cons(sk6,app(sk4,sk4))),cons(skaf79(cons(sk6,app(sk4,sk4))),skaf81(cons(sk6,app(sk4,sk4)))))) = cons(sk6,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_68222,c_389]) ).
tcf(c_68369,plain,
hd(cons(sk6,cons(sk6,app(sk4,sk4)))) = sk6,
inference(superposition,[status(thm)],[c_68222,c_10017]) ).
tcf(c_68370,plain,
( ( cons(sk6,app(sk4,sk4)) = nil )
| ( cons(skaf83(cons(sk6,app(sk4,sk4))),skaf82(cons(sk6,app(sk4,sk4)))) = cons(sk6,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_68222,c_356]) ).
tcf(c_68371,plain,
( ( cons(sk6,app(sk4,sk4)) = nil )
| ( cons(hd(cons(sk6,app(sk4,sk4))),tl(cons(sk6,app(sk4,sk4)))) = cons(sk6,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_68222,c_351]) ).
tcf(c_68372,plain,
hd(cons(sk5,cons(sk6,app(sk4,sk4)))) = sk5,
inference(superposition,[status(thm)],[c_68222,c_10016]) ).
tcf(c_68373,plain,
tl(cons(sk6,cons(sk6,app(sk4,sk4)))) = cons(sk6,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_68222,c_9887]) ).
tcf(c_68374,plain,
tl(cons(sk5,cons(sk6,app(sk4,sk4)))) = cons(sk6,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_68222,c_9886]) ).
tcf(c_68375,plain,
( duplicatefreeP(cons(sk6,app(sk4,sk4)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_68222,c_6471]) ).
tcf(c_68376,plain,
app(nil,cons(sk6,app(sk4,sk4))) = cons(sk6,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_68222,c_321]) ).
tcf(c_68377,plain,
app(cons(sk6,app(sk4,sk4)),nil) = cons(sk6,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_68222,c_320]) ).
tcf(c_68482,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(X0,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68223,c_400]) ).
tcf(c_68483,plain,
( ( app(skaf46(cons(sk6,app(sk4,sk4)),sk4),sk4) = cons(sk6,app(sk4,sk4)) )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68223,c_378]) ).
tcf(c_68484,plain,
( ( cons(sk6,app(sk4,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68223,c_375]) ).
tcf(c_68485,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68482,c_6486,c_68222]) ).
tcf(c_68489,plain,
( ( cons(sk6,app(sk4,sk4)) = sk4 )
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68484,c_6486,c_68222]) ).
tcf(c_68492,plain,
app(skaf46(cons(sk6,app(sk4,sk4)),sk4),sk4) = cons(sk6,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_68483,c_6486,c_68222]) ).
tcf(c_68494,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk6,sk4))
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(X0,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68232,c_401]) ).
tcf(c_68495,plain,
( ( app(cons(sk6,sk4),skaf45(cons(sk6,app(sk4,sk4)),cons(sk6,sk4))) = cons(sk6,app(sk4,sk4)) )
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68232,c_379]) ).
tcf(c_68496,plain,
( ( cons(sk6,app(sk4,sk4)) = cons(sk6,sk4) )
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68232,c_376]) ).
tcf(c_68498,plain,
( frontsegP(app(sk4,sk4),sk4)
| ~ ssItem(sk6)
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_68232,c_421]) ).
tcf(c_68500,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk6,sk4))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68494,c_28942,c_68222]) ).
tcf(c_68504,plain,
( ( cons(sk6,app(sk4,sk4)) = cons(sk6,sk4) )
| ~ frontsegP(cons(sk6,sk4),cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68496,c_28942,c_68222]) ).
tcf(c_68507,plain,
app(cons(sk6,sk4),skaf45(cons(sk6,app(sk4,sk4)),cons(sk6,sk4))) = cons(sk6,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_68495,c_28942,c_68222]) ).
tcf(c_68510,plain,
( ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(sk4)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_67524,c_332]) ).
tcf(c_68511,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk7,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(app(cons(sk6,sk7),sk4),X0)) ),
inference(superposition,[status(thm)],[c_67524,c_420]) ).
tcf(c_68512,plain,
! [X0: $i] :
( ( cons(sk6,sk7) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ( cons(sk6,app(sk7,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_67524,c_398]) ).
tcf(c_68514,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(cons(sk6,sk7),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,sk7))
| ~ memberP(cons(sk6,app(sk7,sk4)),X0) ),
inference(superposition,[status(thm)],[c_67524,c_405]) ).
tcf(c_68515,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,sk7))
| ( cons(sk6,app(sk7,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_67524,c_366]) ).
tcf(c_68516,plain,
( ( cons(sk6,sk7) = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,sk7))
| ( cons(sk6,app(sk7,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_67524,c_365]) ).
tcf(c_68517,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),cons(sk6,sk7))
| ~ ssList(sk4)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_67524,c_808]) ).
tcf(c_68518,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_67524,c_807]) ).
tcf(c_68519,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_67524,c_388]) ).
tcf(c_68520,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_67524,c_383]) ).
tcf(c_68521,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ( app(cons(sk6,sk7),X0) != cons(sk6,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_67524,c_397]) ).
tcf(c_68522,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,sk7))
| ~ memberP(cons(sk6,sk7),X0) ),
inference(superposition,[status(thm)],[c_67524,c_387]) ).
tcf(c_68523,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(cons(sk6,sk7),X0) ),
inference(superposition,[status(thm)],[c_67524,c_384]) ).
tcf(c_68524,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk7,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_67524,c_419]) ).
tcf(c_68525,plain,
( ( cons(sk6,sk7) = iPr_def_14 )
| ~ ssList(cons(sk6,sk7))
| ( cons(sk6,app(sk7,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_67524,c_51225]) ).
tcf(c_68526,plain,
( ( cons(sk6,sk7) = nil )
| ~ ssList(cons(sk6,sk7))
| ( cons(sk6,app(sk7,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_67524,c_17629]) ).
tcf(c_68527,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(sk4)
| ~ ssList(app(cons(sk6,sk7),sk4)) ),
inference(superposition,[status(thm)],[c_67524,c_37016]) ).
tcf(c_68528,plain,
! [X0: $i] :
( segmentP(cons(sk6,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(superposition,[status(thm)],[c_67524,c_36958]) ).
tcf(c_68529,plain,
ssList(cons(sk6,app(sk7,sk4))),
inference(forward_subsumption_resolution,[status(thm)],[c_68510,c_6486,c_28940]) ).
tcf(c_68530,plain,
rearsegP(cons(sk6,app(sk7,sk4)),sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_68518,c_6486,c_28940]) ).
tcf(c_68531,plain,
! [X0: $i] :
( segmentP(cons(sk6,app(sk7,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68528,c_6486]) ).
tcf(c_68535,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(sk4)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(light_normalisation,[status(thm)],[c_68527,c_67524]) ).
tcf(c_68536,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68535,c_6486]) ).
tcf(c_68539,plain,
frontsegP(cons(sk6,app(sk7,sk4)),cons(sk6,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_68517,c_6486,c_28940]) ).
tcf(c_68540,plain,
cons(sk6,app(sk7,sk4)) != sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_68526,c_37620,c_28940]) ).
tcf(c_68544,plain,
( ( cons(sk6,sk7) = iPr_def_14 )
| ( cons(sk6,app(sk7,sk4)) != cons(sk6,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68525,c_28940]) ).
tcf(c_68547,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk7,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68520,c_6486,c_28940]) ).
tcf(c_68551,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk7,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68519,c_6486,c_28940]) ).
tcf(c_68555,plain,
cons(sk6,app(sk7,sk4)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_68516,c_37620,c_6486,c_28940]) ).
tcf(c_68556,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk7,sk4)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68523,c_6486,c_28940]) ).
tcf(c_68560,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk7,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68522,c_6486,c_28940]) ).
tcf(c_68564,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk7,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68524,c_6486,c_28940]) ).
tcf(c_68569,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(cons(sk6,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk7,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68514,c_6486,c_28940]) ).
tcf(c_68574,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(cons(sk6,sk7),X0) != cons(sk6,app(sk7,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68521,c_6486,c_28940]) ).
tcf(c_68578,plain,
! [X0: $i] :
( ( cons(sk6,sk7) = X0 )
| ~ ssList(X0)
| ( cons(sk6,app(sk7,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68512,c_6486,c_28940]) ).
tcf(c_68582,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk7,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(cons(sk6,app(sk7,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_68511,c_67524]) ).
tcf(c_68583,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk7,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,app(sk7,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68582,c_6486,c_28940]) ).
tcf(c_68644,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk7,sk4)),sk8),X0) = app(cons(sk6,app(sk7,sk4)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68529,c_16217]) ).
tcf(c_68645,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk7,sk4)),sk7),X0) = app(cons(sk6,app(sk7,sk4)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68529,c_16216]) ).
tcf(c_68646,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk7,sk4)),sk4),X0) = app(cons(sk6,app(sk7,sk4)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68529,c_16215]) ).
tcf(c_68647,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk6,app(sk7,sk4)))) = app(cons(X1,X0),cons(sk6,app(sk7,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68529,c_404]) ).
tcf(c_68648,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk6,app(sk7,sk4))),X0) = app(X1,app(cons(sk6,app(sk7,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68529,c_396]) ).
tcf(c_68649,plain,
! [X0: $i] :
( ( cons(sk6,app(sk7,sk4)) = nil )
| ( app(tl(cons(sk6,app(sk7,sk4))),X0) = tl(app(cons(sk6,app(sk7,sk4)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68529,c_380]) ).
tcf(c_68650,plain,
! [X0: $i] :
( ( cons(sk6,app(sk7,sk4)) = nil )
| ( hd(app(cons(sk6,app(sk7,sk4)),X0)) = hd(cons(sk6,app(sk7,sk4))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68529,c_370]) ).
tcf(c_68651,plain,
cons(sk6,app(cons(sk6,app(sk7,sk4)),sk4)) = app(cons(sk6,cons(sk6,app(sk7,sk4))),sk4),
inference(superposition,[status(thm)],[c_68529,c_64778]) ).
tcf(c_68652,plain,
cons(sk5,app(cons(sk6,app(sk7,sk4)),sk4)) = app(cons(sk5,cons(sk6,app(sk7,sk4))),sk4),
inference(superposition,[status(thm)],[c_68529,c_64777]) ).
tcf(c_68653,plain,
tl(cons(skac3,cons(sk6,app(sk7,sk4)))) = cons(sk6,app(sk7,sk4)),
inference(superposition,[status(thm)],[c_68529,c_9890]) ).
tcf(c_68654,plain,
app(app(sk8,sk8),cons(sk6,app(sk7,sk4))) = app(sk8,app(sk8,cons(sk6,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_68529,c_56349]) ).
tcf(c_68655,plain,
app(app(sk7,sk8),cons(sk6,app(sk7,sk4))) = app(sk7,app(sk8,cons(sk6,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_68529,c_56348]) ).
tcf(c_68656,plain,
app(app(sk4,sk8),cons(sk6,app(sk7,sk4))) = app(sk4,app(sk8,cons(sk6,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_68529,c_56347]) ).
tcf(c_68657,plain,
app(app(sk8,sk7),cons(sk6,app(sk7,sk4))) = app(sk8,app(sk7,cons(sk6,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_68529,c_45540]) ).
tcf(c_68658,plain,
app(app(sk7,sk7),cons(sk6,app(sk7,sk4))) = app(sk7,app(sk7,cons(sk6,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_68529,c_45539]) ).
tcf(c_68659,plain,
app(app(sk4,sk7),cons(sk6,app(sk7,sk4))) = app(sk4,app(sk7,cons(sk6,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_68529,c_45538]) ).
tcf(c_68660,plain,
app(app(sk8,sk4),cons(sk6,app(sk7,sk4))) = app(sk8,app(sk4,cons(sk6,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_68529,c_37633]) ).
tcf(c_68661,plain,
app(app(sk7,sk4),cons(sk6,app(sk7,sk4))) = app(sk7,app(sk4,cons(sk6,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_68529,c_37632]) ).
tcf(c_68662,plain,
app(app(sk4,sk4),cons(sk6,app(sk7,sk4))) = app(sk4,app(sk4,cons(sk6,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_68529,c_37631]) ).
tcf(c_68663,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk6,app(sk7,sk4))) = tl(app(sk8,cons(sk6,app(sk7,sk4)))) ) ),
inference(superposition,[status(thm)],[c_68529,c_14611]) ).
tcf(c_68664,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk6,app(sk7,sk4))) = tl(app(sk7,cons(sk6,app(sk7,sk4)))) ) ),
inference(superposition,[status(thm)],[c_68529,c_14610]) ).
tcf(c_68665,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk6,app(sk7,sk4))) = tl(app(sk4,cons(sk6,app(sk7,sk4)))) ) ),
inference(superposition,[status(thm)],[c_68529,c_14609]) ).
tcf(c_68666,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk6,app(sk7,sk4)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_68529,c_11903]) ).
tcf(c_68667,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk6,app(sk7,sk4)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_68529,c_11902]) ).
tcf(c_68668,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk6,app(sk7,sk4)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_68529,c_11901]) ).
tcf(c_68669,plain,
( cyclefreeP(cons(sk6,app(sk7,sk4)))
| ( app(app(skaf51(cons(sk6,app(sk7,sk4))),cons(skaf49(cons(sk6,app(sk7,sk4))),skaf52(cons(sk6,app(sk7,sk4))))),cons(skaf50(cons(sk6,app(sk7,sk4))),skaf53(cons(sk6,app(sk7,sk4))))) = cons(sk6,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_68529,c_414]) ).
tcf(c_68670,plain,
( totalorderP(cons(sk6,app(sk7,sk4)))
| ( app(app(skaf56(cons(sk6,app(sk7,sk4))),cons(skaf54(cons(sk6,app(sk7,sk4))),skaf57(cons(sk6,app(sk7,sk4))))),cons(skaf55(cons(sk6,app(sk7,sk4))),skaf58(cons(sk6,app(sk7,sk4))))) = cons(sk6,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_68529,c_413]) ).
tcf(c_68671,plain,
( strictorderP(cons(sk6,app(sk7,sk4)))
| ( app(app(skaf61(cons(sk6,app(sk7,sk4))),cons(skaf59(cons(sk6,app(sk7,sk4))),skaf62(cons(sk6,app(sk7,sk4))))),cons(skaf60(cons(sk6,app(sk7,sk4))),skaf63(cons(sk6,app(sk7,sk4))))) = cons(sk6,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_68529,c_412]) ).
tcf(c_68672,plain,
( totalorderedP(cons(sk6,app(sk7,sk4)))
| ( app(app(skaf66(cons(sk6,app(sk7,sk4))),cons(skaf64(cons(sk6,app(sk7,sk4))),skaf67(cons(sk6,app(sk7,sk4))))),cons(skaf65(cons(sk6,app(sk7,sk4))),skaf68(cons(sk6,app(sk7,sk4))))) = cons(sk6,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_68529,c_411]) ).
tcf(c_68673,plain,
( strictorderedP(cons(sk6,app(sk7,sk4)))
| ( app(app(skaf71(cons(sk6,app(sk7,sk4))),cons(skaf69(cons(sk6,app(sk7,sk4))),skaf72(cons(sk6,app(sk7,sk4))))),cons(skaf70(cons(sk6,app(sk7,sk4))),skaf73(cons(sk6,app(sk7,sk4))))) = cons(sk6,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_68529,c_410]) ).
tcf(c_68674,plain,
( duplicatefreeP(cons(sk6,app(sk7,sk4)))
| ( app(app(skaf75(cons(sk6,app(sk7,sk4))),cons(skaf74(cons(sk6,app(sk7,sk4))),skaf76(cons(sk6,app(sk7,sk4))))),cons(skaf74(cons(sk6,app(sk7,sk4))),skaf77(cons(sk6,app(sk7,sk4))))) = cons(sk6,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_68529,c_409]) ).
tcf(c_68675,plain,
( equalelemsP(cons(sk6,app(sk7,sk4)))
| ( app(skaf80(cons(sk6,app(sk7,sk4))),cons(skaf78(cons(sk6,app(sk7,sk4))),cons(skaf79(cons(sk6,app(sk7,sk4))),skaf81(cons(sk6,app(sk7,sk4)))))) = cons(sk6,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_68529,c_389]) ).
tcf(c_68676,plain,
hd(cons(sk6,cons(sk6,app(sk7,sk4)))) = sk6,
inference(superposition,[status(thm)],[c_68529,c_10017]) ).
tcf(c_68677,plain,
( ( cons(sk6,app(sk7,sk4)) = nil )
| ( cons(skaf83(cons(sk6,app(sk7,sk4))),skaf82(cons(sk6,app(sk7,sk4)))) = cons(sk6,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_68529,c_356]) ).
tcf(c_68678,plain,
( ( cons(sk6,app(sk7,sk4)) = nil )
| ( cons(hd(cons(sk6,app(sk7,sk4))),tl(cons(sk6,app(sk7,sk4)))) = cons(sk6,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_68529,c_351]) ).
tcf(c_68679,plain,
hd(cons(sk5,cons(sk6,app(sk7,sk4)))) = sk5,
inference(superposition,[status(thm)],[c_68529,c_10016]) ).
tcf(c_68680,plain,
tl(cons(sk6,cons(sk6,app(sk7,sk4)))) = cons(sk6,app(sk7,sk4)),
inference(superposition,[status(thm)],[c_68529,c_9887]) ).
tcf(c_68681,plain,
tl(cons(sk5,cons(sk6,app(sk7,sk4)))) = cons(sk6,app(sk7,sk4)),
inference(superposition,[status(thm)],[c_68529,c_9886]) ).
tcf(c_68682,plain,
( duplicatefreeP(cons(sk6,app(sk7,sk4)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_68529,c_6471]) ).
tcf(c_68683,plain,
app(nil,cons(sk6,app(sk7,sk4))) = cons(sk6,app(sk7,sk4)),
inference(superposition,[status(thm)],[c_68529,c_321]) ).
tcf(c_68684,plain,
app(cons(sk6,app(sk7,sk4)),nil) = cons(sk6,app(sk7,sk4)),
inference(superposition,[status(thm)],[c_68529,c_320]) ).
tcf(c_68793,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(X0,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68530,c_400]) ).
tcf(c_68794,plain,
( ( app(skaf46(cons(sk6,app(sk7,sk4)),sk4),sk4) = cons(sk6,app(sk7,sk4)) )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68530,c_378]) ).
tcf(c_68795,plain,
( ( cons(sk6,app(sk7,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68530,c_375]) ).
tcf(c_68796,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68793,c_6486,c_68529]) ).
tcf(c_68800,plain,
( ( cons(sk6,app(sk7,sk4)) = sk4 )
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68795,c_6486,c_68529]) ).
tcf(c_68803,plain,
app(skaf46(cons(sk6,app(sk7,sk4)),sk4),sk4) = cons(sk6,app(sk7,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_68794,c_6486,c_68529]) ).
tcf(c_68805,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf61(X0)) = nil )
| ( cons(skac3,skaf61(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf61(X0)))
| ( skaf61(X0) != tl(X1) )
| ( hd(cons(skac3,skaf61(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63937,c_424]) ).
tcf(c_68832,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf58(X0)) = nil )
| ( cons(skac3,skaf58(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf58(X0)))
| ( skaf58(X0) != tl(X1) )
| ( hd(cons(skac3,skaf58(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63938,c_424]) ).
tcf(c_68842,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf57(X0)) = nil )
| ( cons(skac3,skaf57(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf57(X0)))
| ( skaf57(X0) != tl(X1) )
| ( hd(cons(skac3,skaf57(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63939,c_424]) ).
tcf(c_68860,plain,
( frontsegP(sk7,nil)
| ~ frontsegP(nil,sk8) ),
inference(light_normalisation,[status(thm)],[c_24216,c_29830]) ).
tcf(c_68861,plain,
( frontsegP(sk4,nil)
| ~ frontsegP(nil,sk8) ),
inference(light_normalisation,[status(thm)],[c_24219,c_29830]) ).
tcf(c_68862,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk6,sk7))
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(X0,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68539,c_401]) ).
tcf(c_68863,plain,
( ( app(cons(sk6,sk7),skaf45(cons(sk6,app(sk7,sk4)),cons(sk6,sk7))) = cons(sk6,app(sk7,sk4)) )
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68539,c_379]) ).
tcf(c_68864,plain,
( ( cons(sk6,app(sk7,sk4)) = cons(sk6,sk7) )
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68539,c_376]) ).
tcf(c_68866,plain,
( frontsegP(app(sk7,sk4),sk7)
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_68539,c_421]) ).
tcf(c_68867,plain,
( frontsegP(app(sk7,sk4),sk7)
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68866,c_6484,c_6483]) ).
tcf(c_68870,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk6,sk7))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68862,c_28940,c_68529]) ).
tcf(c_68874,plain,
( ( cons(sk6,app(sk7,sk4)) = cons(sk6,sk7) )
| ~ frontsegP(cons(sk6,sk7),cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68864,c_28940,c_68529]) ).
tcf(c_68877,plain,
app(cons(sk6,sk7),skaf45(cons(sk6,app(sk7,sk4)),cons(sk6,sk7))) = cons(sk6,app(sk7,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_68863,c_28940,c_68529]) ).
tcf(c_68883,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(X0,app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_68867,c_401]) ).
tcf(c_68884,plain,
( ( app(sk7,skaf45(app(sk7,sk4),sk7)) = app(sk7,sk4) )
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_68867,c_379]) ).
tcf(c_68885,plain,
( ( app(sk7,sk4) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(sk7,app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_68867,c_376]) ).
tcf(c_68886,plain,
( ( app(sk7,sk4) = sk7 )
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(sk7,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68885,c_6483]) ).
tcf(c_68890,plain,
( ( app(sk7,skaf45(app(sk7,sk4),sk7)) = app(sk7,sk4) )
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68884,c_6483]) ).
tcf(c_68893,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(X0,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68883,c_6483]) ).
tcf(c_68940,plain,
( ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(sk4)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_67525,c_332]) ).
tcf(c_68941,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk8,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(app(cons(sk6,sk8),sk4),X0)) ),
inference(superposition,[status(thm)],[c_67525,c_420]) ).
tcf(c_68942,plain,
! [X0: $i] :
( ( cons(sk6,sk8) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ( cons(sk6,app(sk8,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_67525,c_398]) ).
tcf(c_68944,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(cons(sk6,sk8),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,sk8))
| ~ memberP(cons(sk6,app(sk8,sk4)),X0) ),
inference(superposition,[status(thm)],[c_67525,c_405]) ).
tcf(c_68945,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,sk8))
| ( cons(sk6,app(sk8,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_67525,c_366]) ).
tcf(c_68946,plain,
( ( cons(sk6,sk8) = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,sk8))
| ( cons(sk6,app(sk8,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_67525,c_365]) ).
tcf(c_68947,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),cons(sk6,sk8))
| ~ ssList(sk4)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_67525,c_808]) ).
tcf(c_68948,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_67525,c_807]) ).
tcf(c_68949,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_67525,c_388]) ).
tcf(c_68950,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_67525,c_383]) ).
tcf(c_68951,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ( app(cons(sk6,sk8),X0) != cons(sk6,app(sk8,sk4)) ) ),
inference(superposition,[status(thm)],[c_67525,c_397]) ).
tcf(c_68952,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,sk8))
| ~ memberP(cons(sk6,sk8),X0) ),
inference(superposition,[status(thm)],[c_67525,c_387]) ).
tcf(c_68953,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(cons(sk6,sk8),X0) ),
inference(superposition,[status(thm)],[c_67525,c_384]) ).
tcf(c_68954,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk8,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_67525,c_419]) ).
tcf(c_68955,plain,
( ( cons(sk6,sk8) = iPr_def_14 )
| ~ ssList(cons(sk6,sk8))
| ( cons(sk6,app(sk8,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_67525,c_51225]) ).
tcf(c_68956,plain,
( ( cons(sk6,sk8) = nil )
| ~ ssList(cons(sk6,sk8))
| ( cons(sk6,app(sk8,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_67525,c_17629]) ).
tcf(c_68957,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk8)
| ~ ssList(sk4)
| ~ ssList(app(cons(sk6,sk8),sk4)) ),
inference(superposition,[status(thm)],[c_67525,c_37139]) ).
tcf(c_68958,plain,
! [X0: $i] :
( segmentP(cons(sk6,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(superposition,[status(thm)],[c_67525,c_37047]) ).
tcf(c_68959,plain,
ssList(cons(sk6,app(sk8,sk4))),
inference(forward_subsumption_resolution,[status(thm)],[c_68940,c_6486,c_28938]) ).
tcf(c_68960,plain,
rearsegP(cons(sk6,app(sk8,sk4)),sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_68948,c_6486,c_28938]) ).
tcf(c_68961,plain,
! [X0: $i] :
( segmentP(cons(sk6,app(sk8,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68958,c_6486]) ).
tcf(c_68965,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk8)
| ~ ssList(sk4)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(light_normalisation,[status(thm)],[c_68957,c_67525]) ).
tcf(c_68966,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk8)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68965,c_6486]) ).
tcf(c_68969,plain,
frontsegP(cons(sk6,app(sk8,sk4)),cons(sk6,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_68947,c_6486,c_28938]) ).
tcf(c_68970,plain,
cons(sk6,app(sk8,sk4)) != sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_68956,c_37624,c_28938]) ).
tcf(c_68974,plain,
( ( cons(sk6,sk8) = iPr_def_14 )
| ( cons(sk6,app(sk8,sk4)) != cons(sk6,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68955,c_28938]) ).
tcf(c_68977,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk8,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68950,c_6486,c_28938]) ).
tcf(c_68981,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk8,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68949,c_6486,c_28938]) ).
tcf(c_68985,plain,
cons(sk6,app(sk8,sk4)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_68946,c_37624,c_6486,c_28938]) ).
tcf(c_68986,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk8,sk4)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68953,c_6486,c_28938]) ).
tcf(c_68990,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk8,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68952,c_6486,c_28938]) ).
tcf(c_68994,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk8,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68954,c_6486,c_28938]) ).
tcf(c_68999,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(cons(sk6,sk8),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk8,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68944,c_6486,c_28938]) ).
tcf(c_69004,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(cons(sk6,sk8),X0) != cons(sk6,app(sk8,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68951,c_6486,c_28938]) ).
tcf(c_69008,plain,
! [X0: $i] :
( ( cons(sk6,sk8) = X0 )
| ~ ssList(X0)
| ( cons(sk6,app(sk8,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68942,c_6486,c_28938]) ).
tcf(c_69012,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk8,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(cons(sk6,app(sk8,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_68941,c_67525]) ).
tcf(c_69013,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk8,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,app(sk8,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69012,c_6486,c_28938]) ).
tcf(c_69077,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk8,sk4)),sk8),X0) = app(cons(sk6,app(sk8,sk4)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68959,c_16217]) ).
tcf(c_69078,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk8,sk4)),sk7),X0) = app(cons(sk6,app(sk8,sk4)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68959,c_16216]) ).
tcf(c_69079,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk8,sk4)),sk4),X0) = app(cons(sk6,app(sk8,sk4)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68959,c_16215]) ).
tcf(c_69080,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk6,app(sk8,sk4)))) = app(cons(X1,X0),cons(sk6,app(sk8,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68959,c_404]) ).
tcf(c_69081,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk6,app(sk8,sk4))),X0) = app(X1,app(cons(sk6,app(sk8,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68959,c_396]) ).
tcf(c_69082,plain,
! [X0: $i] :
( ( cons(sk6,app(sk8,sk4)) = nil )
| ( app(tl(cons(sk6,app(sk8,sk4))),X0) = tl(app(cons(sk6,app(sk8,sk4)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68959,c_380]) ).
tcf(c_69083,plain,
! [X0: $i] :
( ( cons(sk6,app(sk8,sk4)) = nil )
| ( hd(app(cons(sk6,app(sk8,sk4)),X0)) = hd(cons(sk6,app(sk8,sk4))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_68959,c_370]) ).
tcf(c_69084,plain,
cons(sk6,app(cons(sk6,app(sk8,sk4)),sk4)) = app(cons(sk6,cons(sk6,app(sk8,sk4))),sk4),
inference(superposition,[status(thm)],[c_68959,c_64778]) ).
tcf(c_69085,plain,
cons(sk5,app(cons(sk6,app(sk8,sk4)),sk4)) = app(cons(sk5,cons(sk6,app(sk8,sk4))),sk4),
inference(superposition,[status(thm)],[c_68959,c_64777]) ).
tcf(c_69086,plain,
tl(cons(skac3,cons(sk6,app(sk8,sk4)))) = cons(sk6,app(sk8,sk4)),
inference(superposition,[status(thm)],[c_68959,c_9890]) ).
tcf(c_69087,plain,
app(app(sk8,sk8),cons(sk6,app(sk8,sk4))) = app(sk8,app(sk8,cons(sk6,app(sk8,sk4)))),
inference(superposition,[status(thm)],[c_68959,c_56349]) ).
tcf(c_69088,plain,
app(app(sk7,sk8),cons(sk6,app(sk8,sk4))) = app(sk7,app(sk8,cons(sk6,app(sk8,sk4)))),
inference(superposition,[status(thm)],[c_68959,c_56348]) ).
tcf(c_69089,plain,
app(app(sk4,sk8),cons(sk6,app(sk8,sk4))) = app(sk4,app(sk8,cons(sk6,app(sk8,sk4)))),
inference(superposition,[status(thm)],[c_68959,c_56347]) ).
tcf(c_69090,plain,
app(app(sk8,sk7),cons(sk6,app(sk8,sk4))) = app(sk8,app(sk7,cons(sk6,app(sk8,sk4)))),
inference(superposition,[status(thm)],[c_68959,c_45540]) ).
tcf(c_69091,plain,
app(app(sk7,sk7),cons(sk6,app(sk8,sk4))) = app(sk7,app(sk7,cons(sk6,app(sk8,sk4)))),
inference(superposition,[status(thm)],[c_68959,c_45539]) ).
tcf(c_69092,plain,
app(app(sk4,sk7),cons(sk6,app(sk8,sk4))) = app(sk4,app(sk7,cons(sk6,app(sk8,sk4)))),
inference(superposition,[status(thm)],[c_68959,c_45538]) ).
tcf(c_69093,plain,
app(app(sk8,sk4),cons(sk6,app(sk8,sk4))) = app(sk8,app(sk4,cons(sk6,app(sk8,sk4)))),
inference(superposition,[status(thm)],[c_68959,c_37633]) ).
tcf(c_69094,plain,
app(app(sk7,sk4),cons(sk6,app(sk8,sk4))) = app(sk7,app(sk4,cons(sk6,app(sk8,sk4)))),
inference(superposition,[status(thm)],[c_68959,c_37632]) ).
tcf(c_69095,plain,
app(app(sk4,sk4),cons(sk6,app(sk8,sk4))) = app(sk4,app(sk4,cons(sk6,app(sk8,sk4)))),
inference(superposition,[status(thm)],[c_68959,c_37631]) ).
tcf(c_69096,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk6,app(sk8,sk4))) = tl(app(sk8,cons(sk6,app(sk8,sk4)))) ) ),
inference(superposition,[status(thm)],[c_68959,c_14611]) ).
tcf(c_69097,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk6,app(sk8,sk4))) = tl(app(sk7,cons(sk6,app(sk8,sk4)))) ) ),
inference(superposition,[status(thm)],[c_68959,c_14610]) ).
tcf(c_69098,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk6,app(sk8,sk4))) = tl(app(sk4,cons(sk6,app(sk8,sk4)))) ) ),
inference(superposition,[status(thm)],[c_68959,c_14609]) ).
tcf(c_69099,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk6,app(sk8,sk4)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_68959,c_11903]) ).
tcf(c_69100,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk6,app(sk8,sk4)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_68959,c_11902]) ).
tcf(c_69101,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk6,app(sk8,sk4)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_68959,c_11901]) ).
tcf(c_69102,plain,
( cyclefreeP(cons(sk6,app(sk8,sk4)))
| ( app(app(skaf51(cons(sk6,app(sk8,sk4))),cons(skaf49(cons(sk6,app(sk8,sk4))),skaf52(cons(sk6,app(sk8,sk4))))),cons(skaf50(cons(sk6,app(sk8,sk4))),skaf53(cons(sk6,app(sk8,sk4))))) = cons(sk6,app(sk8,sk4)) ) ),
inference(superposition,[status(thm)],[c_68959,c_414]) ).
tcf(c_69103,plain,
( totalorderP(cons(sk6,app(sk8,sk4)))
| ( app(app(skaf56(cons(sk6,app(sk8,sk4))),cons(skaf54(cons(sk6,app(sk8,sk4))),skaf57(cons(sk6,app(sk8,sk4))))),cons(skaf55(cons(sk6,app(sk8,sk4))),skaf58(cons(sk6,app(sk8,sk4))))) = cons(sk6,app(sk8,sk4)) ) ),
inference(superposition,[status(thm)],[c_68959,c_413]) ).
tcf(c_69104,plain,
( strictorderP(cons(sk6,app(sk8,sk4)))
| ( app(app(skaf61(cons(sk6,app(sk8,sk4))),cons(skaf59(cons(sk6,app(sk8,sk4))),skaf62(cons(sk6,app(sk8,sk4))))),cons(skaf60(cons(sk6,app(sk8,sk4))),skaf63(cons(sk6,app(sk8,sk4))))) = cons(sk6,app(sk8,sk4)) ) ),
inference(superposition,[status(thm)],[c_68959,c_412]) ).
tcf(c_69105,plain,
( totalorderedP(cons(sk6,app(sk8,sk4)))
| ( app(app(skaf66(cons(sk6,app(sk8,sk4))),cons(skaf64(cons(sk6,app(sk8,sk4))),skaf67(cons(sk6,app(sk8,sk4))))),cons(skaf65(cons(sk6,app(sk8,sk4))),skaf68(cons(sk6,app(sk8,sk4))))) = cons(sk6,app(sk8,sk4)) ) ),
inference(superposition,[status(thm)],[c_68959,c_411]) ).
tcf(c_69106,plain,
( strictorderedP(cons(sk6,app(sk8,sk4)))
| ( app(app(skaf71(cons(sk6,app(sk8,sk4))),cons(skaf69(cons(sk6,app(sk8,sk4))),skaf72(cons(sk6,app(sk8,sk4))))),cons(skaf70(cons(sk6,app(sk8,sk4))),skaf73(cons(sk6,app(sk8,sk4))))) = cons(sk6,app(sk8,sk4)) ) ),
inference(superposition,[status(thm)],[c_68959,c_410]) ).
tcf(c_69107,plain,
( duplicatefreeP(cons(sk6,app(sk8,sk4)))
| ( app(app(skaf75(cons(sk6,app(sk8,sk4))),cons(skaf74(cons(sk6,app(sk8,sk4))),skaf76(cons(sk6,app(sk8,sk4))))),cons(skaf74(cons(sk6,app(sk8,sk4))),skaf77(cons(sk6,app(sk8,sk4))))) = cons(sk6,app(sk8,sk4)) ) ),
inference(superposition,[status(thm)],[c_68959,c_409]) ).
tcf(c_69108,plain,
( equalelemsP(cons(sk6,app(sk8,sk4)))
| ( app(skaf80(cons(sk6,app(sk8,sk4))),cons(skaf78(cons(sk6,app(sk8,sk4))),cons(skaf79(cons(sk6,app(sk8,sk4))),skaf81(cons(sk6,app(sk8,sk4)))))) = cons(sk6,app(sk8,sk4)) ) ),
inference(superposition,[status(thm)],[c_68959,c_389]) ).
tcf(c_69109,plain,
hd(cons(sk6,cons(sk6,app(sk8,sk4)))) = sk6,
inference(superposition,[status(thm)],[c_68959,c_10017]) ).
tcf(c_69110,plain,
( ( cons(sk6,app(sk8,sk4)) = nil )
| ( cons(skaf83(cons(sk6,app(sk8,sk4))),skaf82(cons(sk6,app(sk8,sk4)))) = cons(sk6,app(sk8,sk4)) ) ),
inference(superposition,[status(thm)],[c_68959,c_356]) ).
tcf(c_69111,plain,
( ( cons(sk6,app(sk8,sk4)) = nil )
| ( cons(hd(cons(sk6,app(sk8,sk4))),tl(cons(sk6,app(sk8,sk4)))) = cons(sk6,app(sk8,sk4)) ) ),
inference(superposition,[status(thm)],[c_68959,c_351]) ).
tcf(c_69112,plain,
hd(cons(sk5,cons(sk6,app(sk8,sk4)))) = sk5,
inference(superposition,[status(thm)],[c_68959,c_10016]) ).
tcf(c_69113,plain,
tl(cons(sk6,cons(sk6,app(sk8,sk4)))) = cons(sk6,app(sk8,sk4)),
inference(superposition,[status(thm)],[c_68959,c_9887]) ).
tcf(c_69114,plain,
tl(cons(sk5,cons(sk6,app(sk8,sk4)))) = cons(sk6,app(sk8,sk4)),
inference(superposition,[status(thm)],[c_68959,c_9886]) ).
tcf(c_69115,plain,
( duplicatefreeP(cons(sk6,app(sk8,sk4)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_68959,c_6471]) ).
tcf(c_69116,plain,
app(nil,cons(sk6,app(sk8,sk4))) = cons(sk6,app(sk8,sk4)),
inference(superposition,[status(thm)],[c_68959,c_321]) ).
tcf(c_69117,plain,
app(cons(sk6,app(sk8,sk4)),nil) = cons(sk6,app(sk8,sk4)),
inference(superposition,[status(thm)],[c_68959,c_320]) ).
tcf(c_69617,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(X0,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68960,c_400]) ).
tcf(c_69618,plain,
( ( app(skaf46(cons(sk6,app(sk8,sk4)),sk4),sk4) = cons(sk6,app(sk8,sk4)) )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68960,c_378]) ).
tcf(c_69619,plain,
( ( cons(sk6,app(sk8,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68960,c_375]) ).
tcf(c_69620,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69617,c_6486,c_68959]) ).
tcf(c_69624,plain,
( ( cons(sk6,app(sk8,sk4)) = sk4 )
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69619,c_6486,c_68959]) ).
tcf(c_69627,plain,
app(skaf46(cons(sk6,app(sk8,sk4)),sk4),sk4) = cons(sk6,app(sk8,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_69618,c_6486,c_68959]) ).
tcf(c_69629,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk6,sk8))
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(X0,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68969,c_401]) ).
tcf(c_69630,plain,
( ( app(cons(sk6,sk8),skaf45(cons(sk6,app(sk8,sk4)),cons(sk6,sk8))) = cons(sk6,app(sk8,sk4)) )
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68969,c_379]) ).
tcf(c_69631,plain,
( ( cons(sk6,app(sk8,sk4)) = cons(sk6,sk8) )
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68969,c_376]) ).
tcf(c_69633,plain,
( frontsegP(app(sk8,sk4),sk8)
| ~ ssItem(sk6)
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_68969,c_421]) ).
tcf(c_69634,plain,
( frontsegP(app(sk8,sk4),sk8)
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69633,c_6484,c_6482]) ).
tcf(c_69637,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk6,sk8))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69629,c_28938,c_68959]) ).
tcf(c_69641,plain,
( ( cons(sk6,app(sk8,sk4)) = cons(sk6,sk8) )
| ~ frontsegP(cons(sk6,sk8),cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69631,c_28938,c_68959]) ).
tcf(c_69644,plain,
app(cons(sk6,sk8),skaf45(cons(sk6,app(sk8,sk4)),cons(sk6,sk8))) = cons(sk6,app(sk8,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_69630,c_28938,c_68959]) ).
tcf(c_69647,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf56(X0)) = nil )
| ( cons(skac3,skaf56(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf56(X0)))
| ( skaf56(X0) != tl(X1) )
| ( hd(cons(skac3,skaf56(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63940,c_424]) ).
tcf(c_69657,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf53(X0)) = nil )
| ( cons(skac3,skaf53(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf53(X0)))
| ( skaf53(X0) != tl(X1) )
| ( hd(cons(skac3,skaf53(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63941,c_424]) ).
tcf(c_69667,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf52(X0)) = nil )
| ( cons(skac3,skaf52(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf52(X0)))
| ( skaf52(X0) != tl(X1) )
| ( hd(cons(skac3,skaf52(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63942,c_424]) ).
tcf(c_69677,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac3,skaf51(X0)) = nil )
| ( cons(skac3,skaf51(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac3,skaf51(X0)))
| ( skaf51(X0) != tl(X1) )
| ( hd(cons(skac3,skaf51(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_63943,c_424]) ).
tcf(c_69691,plain,
( rearsegP(cons(sk6,sk4),sk8)
| ~ rearsegP(sk4,iPr_def_16) ),
inference(light_normalisation,[status(thm)],[c_25816,c_28897]) ).
tcf(c_69698,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ rearsegP(X0,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_69691,c_400]) ).
tcf(c_69699,plain,
( ( app(skaf46(cons(sk6,sk4),sk8),sk8) = cons(sk6,sk4) )
| ~ ssList(sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_69691,c_378]) ).
tcf(c_69700,plain,
( ( cons(sk6,sk4) = sk8 )
| ~ ssList(sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ rearsegP(sk8,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_69691,c_375]) ).
tcf(c_69701,plain,
( ( cons(sk6,sk4) = sk8 )
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk8,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69700,c_6482,c_28942]) ).
tcf(c_69705,plain,
( ( app(skaf46(cons(sk6,sk4),sk8),sk8) = cons(sk6,sk4) )
| ~ rearsegP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69699,c_6482,c_28942]) ).
tcf(c_69708,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(X0,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69698,c_6482,c_28942]) ).
tcf(c_69714,plain,
( rearsegP(cons(sk6,sk7),sk8)
| ~ rearsegP(sk7,iPr_def_16) ),
inference(light_normalisation,[status(thm)],[c_26001,c_28897]) ).
tcf(c_69721,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ rearsegP(X0,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_69714,c_400]) ).
tcf(c_69722,plain,
( ( app(skaf46(cons(sk6,sk7),sk8),sk8) = cons(sk6,sk7) )
| ~ ssList(sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_69714,c_378]) ).
tcf(c_69723,plain,
( ( cons(sk6,sk7) = sk8 )
| ~ ssList(sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ rearsegP(sk8,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_69714,c_375]) ).
tcf(c_69724,plain,
( ( cons(sk6,sk7) = sk8 )
| ~ rearsegP(sk7,iPr_def_16)
| ~ rearsegP(sk8,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69723,c_6482,c_28940]) ).
tcf(c_69728,plain,
( ( app(skaf46(cons(sk6,sk7),sk8),sk8) = cons(sk6,sk7) )
| ~ rearsegP(sk7,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69722,c_6482,c_28940]) ).
tcf(c_69731,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ rearsegP(sk7,iPr_def_16)
| ~ rearsegP(X0,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69721,c_6482,c_28940]) ).
tcf(c_69737,plain,
( frontsegP(iPr_def_16,nil)
| ~ frontsegP(sk7,sk4) ),
inference(light_normalisation,[status(thm)],[c_26201,c_29872]) ).
tcf(c_69742,plain,
! [X0: $i] :
( frontsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_69634,c_401]) ).
tcf(c_69743,plain,
( ( app(sk8,skaf45(app(sk8,sk4),sk8)) = app(sk8,sk4) )
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_69634,c_379]) ).
tcf(c_69744,plain,
( ( app(sk8,sk4) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk8,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_69634,c_376]) ).
tcf(c_69745,plain,
( ( app(sk8,sk4) = sk8 )
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk8,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69744,c_6482]) ).
tcf(c_69749,plain,
( ( app(sk8,skaf45(app(sk8,sk4),sk8)) = app(sk8,sk4) )
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69743,c_6482]) ).
tcf(c_69752,plain,
! [X0: $i] :
( frontsegP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69742,c_6482]) ).
tcf(c_69764,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(X0,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68224,c_399]) ).
tcf(c_69765,plain,
! [X0: $i] :
( ( app(app(skaf47(cons(sk6,app(sk4,sk4)),X0),X0),skaf48(X0,cons(sk6,app(sk4,sk4)))) = cons(sk6,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68224,c_415]) ).
tcf(c_69766,plain,
! [X0: $i] :
( ( cons(sk6,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(X0,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68224,c_374]) ).
tcf(c_69767,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68224,c_27069]) ).
tcf(c_69768,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68224,c_28549]) ).
tcf(c_69769,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68224,c_27097]) ).
tcf(c_69770,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68224,c_27109]) ).
tcf(c_69771,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69770,c_24748,c_68222]) ).
tcf(c_69774,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69769,c_9020,c_68222]) ).
tcf(c_69777,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69768,c_9020,c_68222]) ).
tcf(c_69780,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69767,c_9527,c_68222]) ).
tcf(c_69783,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ segmentP(X0,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69764,c_68222]) ).
tcf(c_69789,plain,
! [X0: $i] :
( ( cons(sk6,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(X0,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69766,c_68222]) ).
tcf(c_69794,plain,
! [X0: $i] :
( ( app(app(skaf47(cons(sk6,app(sk4,sk4)),X0),X0),skaf48(X0,cons(sk6,app(sk4,sk4)))) = cons(sk6,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69765,c_68222]) ).
tcf(c_69800,plain,
segmentP(cons(sk6,app(sk4,sk4)),sk4),
inference(global_subsumption_just,[status(thm)],[c_68229,c_68222,c_68229]) ).
tcf(c_69802,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(X0,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_69800,c_399]) ).
tcf(c_69803,plain,
( ( app(app(skaf47(cons(sk6,app(sk4,sk4)),sk4),sk4),skaf48(sk4,cons(sk6,app(sk4,sk4)))) = cons(sk6,app(sk4,sk4)) )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_69800,c_415]) ).
tcf(c_69804,plain,
( ( cons(sk6,app(sk4,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_69800,c_374]) ).
tcf(c_69805,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(X0)
| ~ segmentP(X0,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69802,c_6486,c_68222]) ).
tcf(c_69809,plain,
( ( cons(sk6,app(sk4,sk4)) = sk4 )
| ~ segmentP(sk4,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69804,c_6486,c_68222]) ).
tcf(c_69812,plain,
app(app(skaf47(cons(sk6,app(sk4,sk4)),sk4),sk4),skaf48(sk4,cons(sk6,app(sk4,sk4)))) = cons(sk6,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_69803,c_6486,c_68222]) ).
tcf(c_69820,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(X0,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68240,c_400]) ).
tcf(c_69821,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk6,app(sk4,sk4)),X0),X0) = cons(sk6,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68240,c_378]) ).
tcf(c_69822,plain,
! [X0: $i] :
( ( cons(sk6,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(X0,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68240,c_375]) ).
tcf(c_69823,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68240,c_15170]) ).
tcf(c_69825,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69823,c_9020,c_68222]) ).
tcf(c_69828,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ rearsegP(X0,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69820,c_68222]) ).
tcf(c_69834,plain,
! [X0: $i] :
( ( cons(sk6,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ rearsegP(X0,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69822,c_68222]) ).
tcf(c_69839,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk6,app(sk4,sk4)),X0),X0) = cons(sk6,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69821,c_68222]) ).
tcf(c_69901,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk4,sk4)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk4,sk4))))) = cons(sk6,app(sk4,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68244,c_416]) ).
tcf(c_69902,plain,
! [X0: $i] :
( memberP(app(sk4,sk4),X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_68244,c_408]) ).
tcf(c_69903,plain,
! [X0: $i] :
( memberP(app(sk4,sk4),X0)
| ( X0 = sk6 )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69902,c_6484]) ).
tcf(c_69909,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk4,sk4)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk4,sk4))))) = cons(sk6,app(sk4,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69901,c_68222]) ).
tcf(c_69922,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(X0,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_383,c_68485]) ).
tcf(c_69923,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,app(sk4,sk4))),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ ssList(app(X0,cons(sk6,app(sk4,sk4)))) ),
inference(superposition,[status(thm)],[c_807,c_68485]) ).
tcf(c_69926,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,app(sk4,sk4))),sk4)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sk6,app(sk4,sk4)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69923,c_68222]) ).
tcf(c_69930,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69922,c_68222]) ).
tcf(c_69944,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X1)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(X0,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68531,c_399]) ).
tcf(c_69945,plain,
! [X0: $i] :
( ( app(app(skaf47(cons(sk6,app(sk7,sk4)),X0),X0),skaf48(X0,cons(sk6,app(sk7,sk4)))) = cons(sk6,app(sk7,sk4)) )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68531,c_415]) ).
tcf(c_69946,plain,
! [X0: $i] :
( ( cons(sk6,app(sk7,sk4)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(X0,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68531,c_374]) ).
tcf(c_69948,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68531,c_28549]) ).
tcf(c_69949,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68531,c_27097]) ).
tcf(c_69950,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68531,c_27109]) ).
tcf(c_69951,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk7)
| ~ segmentP(sk7,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69950,c_24748,c_68529]) ).
tcf(c_69954,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk7)
| ~ segmentP(sk7,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69949,c_9020,c_68529]) ).
tcf(c_69957,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk8)
| ~ segmentP(sk7,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69948,c_9020,c_68529]) ).
tcf(c_69960,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X1)
| ~ segmentP(X0,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69944,c_68529]) ).
tcf(c_69966,plain,
! [X0: $i] :
( ( cons(sk6,app(sk7,sk4)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ segmentP(X0,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69946,c_68529]) ).
tcf(c_69971,plain,
! [X0: $i] :
( ( app(app(skaf47(cons(sk6,app(sk7,sk4)),X0),X0),skaf48(X0,cons(sk6,app(sk7,sk4)))) = cons(sk6,app(sk7,sk4)) )
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69945,c_68529]) ).
tcf(c_69977,plain,
segmentP(cons(sk6,app(sk7,sk4)),sk7),
inference(global_subsumption_just,[status(thm)],[c_68536,c_68529,c_68536]) ).
tcf(c_69979,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(X0,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_69977,c_399]) ).
tcf(c_69980,plain,
( ( app(app(skaf47(cons(sk6,app(sk7,sk4)),sk7),sk7),skaf48(sk7,cons(sk6,app(sk7,sk4)))) = cons(sk6,app(sk7,sk4)) )
| ~ ssList(sk7)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_69977,c_415]) ).
tcf(c_69981,plain,
( ( cons(sk6,app(sk7,sk4)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_69977,c_374]) ).
tcf(c_69982,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ segmentP(X0,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69979,c_6483,c_68529]) ).
tcf(c_69986,plain,
( ( cons(sk6,app(sk7,sk4)) = sk7 )
| ~ segmentP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69981,c_6483,c_68529]) ).
tcf(c_69989,plain,
app(app(skaf47(cons(sk6,app(sk7,sk4)),sk7),sk7),skaf48(sk7,cons(sk6,app(sk7,sk4)))) = cons(sk6,app(sk7,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_69980,c_6483,c_68529]) ).
tcf(c_69996,plain,
tl(cons(skac2,sk4)) = sk4,
inference(superposition,[status(thm)],[c_6486,c_9891]) ).
tcf(c_69997,plain,
tl(cons(skac2,sk7)) = sk7,
inference(superposition,[status(thm)],[c_6483,c_9891]) ).
tcf(c_69998,plain,
tl(cons(skac2,sk8)) = sk8,
inference(superposition,[status(thm)],[c_6482,c_9891]) ).
tcf(c_69999,plain,
tl(cons(skac2,nil)) = nil,
inference(superposition,[status(thm)],[c_255,c_9891]) ).
tcf(c_70000,plain,
! [X0: $i] : tl(cons(skac2,skaf82(X0))) = skaf82(X0),
inference(superposition,[status(thm)],[c_260,c_9891]) ).
tcf(c_70001,plain,
! [X0: $i] : tl(cons(skac2,skaf81(X0))) = skaf81(X0),
inference(superposition,[status(thm)],[c_261,c_9891]) ).
tcf(c_70002,plain,
! [X0: $i] : tl(cons(skac2,skaf80(X0))) = skaf80(X0),
inference(superposition,[status(thm)],[c_262,c_9891]) ).
tcf(c_70003,plain,
! [X0: $i] : tl(cons(skac2,skaf77(X0))) = skaf77(X0),
inference(superposition,[status(thm)],[c_265,c_9891]) ).
tcf(c_70004,plain,
! [X0: $i] : tl(cons(skac2,skaf76(X0))) = skaf76(X0),
inference(superposition,[status(thm)],[c_266,c_9891]) ).
tcf(c_70005,plain,
! [X0: $i] : tl(cons(skac2,skaf75(X0))) = skaf75(X0),
inference(superposition,[status(thm)],[c_267,c_9891]) ).
tcf(c_70006,plain,
! [X0: $i] : tl(cons(skac2,skaf73(X0))) = skaf73(X0),
inference(superposition,[status(thm)],[c_269,c_9891]) ).
tcf(c_70007,plain,
! [X0: $i] : tl(cons(skac2,skaf72(X0))) = skaf72(X0),
inference(superposition,[status(thm)],[c_270,c_9891]) ).
tcf(c_70008,plain,
! [X0: $i] : tl(cons(skac2,skaf71(X0))) = skaf71(X0),
inference(superposition,[status(thm)],[c_271,c_9891]) ).
tcf(c_70009,plain,
! [X0: $i] : tl(cons(skac2,skaf68(X0))) = skaf68(X0),
inference(superposition,[status(thm)],[c_274,c_9891]) ).
tcf(c_70010,plain,
! [X0: $i] : tl(cons(skac2,skaf67(X0))) = skaf67(X0),
inference(superposition,[status(thm)],[c_275,c_9891]) ).
tcf(c_70011,plain,
! [X0: $i] : tl(cons(skac2,skaf66(X0))) = skaf66(X0),
inference(superposition,[status(thm)],[c_276,c_9891]) ).
tcf(c_70012,plain,
! [X0: $i] : tl(cons(skac2,skaf63(X0))) = skaf63(X0),
inference(superposition,[status(thm)],[c_279,c_9891]) ).
tcf(c_70013,plain,
! [X0: $i] : tl(cons(skac2,skaf62(X0))) = skaf62(X0),
inference(superposition,[status(thm)],[c_280,c_9891]) ).
tcf(c_70014,plain,
! [X0: $i] : tl(cons(skac2,skaf61(X0))) = skaf61(X0),
inference(superposition,[status(thm)],[c_281,c_9891]) ).
tcf(c_70015,plain,
! [X0: $i] : tl(cons(skac2,skaf58(X0))) = skaf58(X0),
inference(superposition,[status(thm)],[c_284,c_9891]) ).
tcf(c_70016,plain,
! [X0: $i] : tl(cons(skac2,skaf57(X0))) = skaf57(X0),
inference(superposition,[status(thm)],[c_285,c_9891]) ).
tcf(c_70017,plain,
! [X0: $i] : tl(cons(skac2,skaf56(X0))) = skaf56(X0),
inference(superposition,[status(thm)],[c_286,c_9891]) ).
tcf(c_70018,plain,
! [X0: $i] : tl(cons(skac2,skaf53(X0))) = skaf53(X0),
inference(superposition,[status(thm)],[c_289,c_9891]) ).
tcf(c_70019,plain,
! [X0: $i] : tl(cons(skac2,skaf52(X0))) = skaf52(X0),
inference(superposition,[status(thm)],[c_290,c_9891]) ).
tcf(c_70020,plain,
! [X0: $i] : tl(cons(skac2,skaf51(X0))) = skaf51(X0),
inference(superposition,[status(thm)],[c_291,c_9891]) ).
tcf(c_70021,plain,
! [X0: $i,X1: $i] : tl(cons(skac2,skaf48(X0,X1))) = skaf48(X0,X1),
inference(superposition,[status(thm)],[c_295,c_9891]) ).
tcf(c_70022,plain,
! [X0: $i,X1: $i] : tl(cons(skac2,skaf47(X0,X1))) = skaf47(X0,X1),
inference(superposition,[status(thm)],[c_296,c_9891]) ).
tcf(c_70023,plain,
! [X0: $i,X1: $i] : tl(cons(skac2,skaf46(X0,X1))) = skaf46(X0,X1),
inference(superposition,[status(thm)],[c_297,c_9891]) ).
tcf(c_70024,plain,
! [X0: $i,X1: $i] : tl(cons(skac2,skaf45(X0,X1))) = skaf45(X0,X1),
inference(superposition,[status(thm)],[c_298,c_9891]) ).
tcf(c_70025,plain,
! [X0: $i,X1: $i] : tl(cons(skac2,skaf43(X0,X1))) = skaf43(X0,X1),
inference(superposition,[status(thm)],[c_299,c_9891]) ).
tcf(c_70026,plain,
! [X0: $i,X1: $i] : tl(cons(skac2,skaf42(X0,X1))) = skaf42(X0,X1),
inference(superposition,[status(thm)],[c_300,c_9891]) ).
tcf(c_70027,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(skac2,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_9891]) ).
tcf(c_70028,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skac2,app(X1,X0))) = app(X1,X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_9891]) ).
tcf(c_70029,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(skac2,cons(X1,X0))) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_9891]) ).
tcf(c_70030,plain,
tl(cons(skac2,iPr_def_16)) = iPr_def_16,
inference(superposition,[status(thm)],[c_9020,c_9891]) ).
tcf(c_70031,plain,
tl(cons(skac2,iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_9527,c_9891]) ).
tcf(c_70032,plain,
tl(cons(skac2,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_9489,c_9891]) ).
tcf(c_70033,plain,
tl(cons(skac2,iPr_def_15)) = iPr_def_15,
inference(superposition,[status(thm)],[c_24748,c_9891]) ).
tcf(c_70034,plain,
tl(cons(skac2,iPr_def_14)) = iPr_def_14,
inference(superposition,[status(thm)],[c_9488,c_9891]) ).
tcf(c_70035,plain,
tl(cons(skac2,cons(sk5,sk4))) = cons(sk5,sk4),
inference(superposition,[status(thm)],[c_66402,c_9891]) ).
tcf(c_70036,plain,
tl(cons(skac2,cons(sk6,sk4))) = cons(sk6,sk4),
inference(superposition,[status(thm)],[c_28942,c_9891]) ).
tcf(c_70037,plain,
tl(cons(skac2,cons(sk6,sk7))) = cons(sk6,sk7),
inference(superposition,[status(thm)],[c_28940,c_9891]) ).
tcf(c_70038,plain,
tl(cons(skac2,cons(sk6,sk8))) = cons(sk6,sk8),
inference(superposition,[status(thm)],[c_28938,c_9891]) ).
tcf(c_70039,plain,
( ( tl(cons(skac2,app(sk4,app(sk4,sk4)))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_9891]) ).
tcf(c_70040,plain,
( ( tl(cons(skac2,app(sk4,app(sk4,sk7)))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_9891]) ).
tcf(c_70041,plain,
( ( tl(cons(skac2,app(sk4,app(sk4,sk8)))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_9891]) ).
tcf(c_70042,plain,
( ( tl(cons(skac2,app(sk7,app(sk4,sk4)))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_9891]) ).
tcf(c_70043,plain,
( ( tl(cons(skac2,app(sk7,app(sk4,sk7)))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_9891]) ).
tcf(c_70044,plain,
( ( tl(cons(skac2,app(sk7,app(sk4,sk8)))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_9891]) ).
tcf(c_70045,plain,
( ( tl(cons(skac2,app(sk8,app(sk4,sk4)))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_9891]) ).
tcf(c_70046,plain,
( ( tl(cons(skac2,app(sk8,app(sk4,sk7)))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_9891]) ).
tcf(c_70047,plain,
( ( tl(cons(skac2,app(sk8,app(sk4,sk8)))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_9891]) ).
tcf(c_70048,plain,
( ( tl(cons(skac2,app(sk4,app(sk7,sk4)))) = app(sk4,app(sk7,sk4)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_9891]) ).
tcf(c_70049,plain,
( ( tl(cons(skac2,app(sk4,app(sk7,sk7)))) = app(sk4,app(sk7,sk7)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_9891]) ).
tcf(c_70050,plain,
( ( tl(cons(skac2,app(sk4,app(sk7,sk8)))) = app(sk4,app(sk7,sk8)) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_9891]) ).
tcf(c_70051,plain,
( ( tl(cons(skac2,app(sk7,app(sk7,sk4)))) = app(sk7,app(sk7,sk4)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_9891]) ).
tcf(c_70052,plain,
( ( tl(cons(skac2,app(sk7,app(sk7,sk7)))) = app(sk7,app(sk7,sk7)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_9891]) ).
tcf(c_70053,plain,
( ( tl(cons(skac2,app(sk7,app(sk7,sk8)))) = app(sk7,app(sk7,sk8)) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_9891]) ).
tcf(c_70054,plain,
( ( tl(cons(skac2,app(sk8,app(sk7,sk4)))) = app(sk8,app(sk7,sk4)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_9891]) ).
tcf(c_70055,plain,
( ( tl(cons(skac2,app(sk8,app(sk7,sk7)))) = app(sk8,app(sk7,sk7)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_9891]) ).
tcf(c_70056,plain,
( ( tl(cons(skac2,app(sk8,app(sk7,sk8)))) = app(sk8,app(sk7,sk8)) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_9891]) ).
tcf(c_70057,plain,
( ( tl(cons(skac2,app(sk4,app(sk8,sk4)))) = app(sk4,app(sk8,sk4)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_9891]) ).
tcf(c_70058,plain,
( ( tl(cons(skac2,app(sk4,app(sk8,sk7)))) = app(sk4,app(sk8,sk7)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_9891]) ).
tcf(c_70059,plain,
( ( tl(cons(skac2,app(sk4,app(sk8,sk8)))) = app(sk4,app(sk8,sk8)) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_9891]) ).
tcf(c_70060,plain,
( ( tl(cons(skac2,app(sk7,app(sk8,sk4)))) = app(sk7,app(sk8,sk4)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_9891]) ).
tcf(c_70061,plain,
( ( tl(cons(skac2,app(sk7,app(sk8,sk7)))) = app(sk7,app(sk8,sk7)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_9891]) ).
tcf(c_70062,plain,
( ( tl(cons(skac2,app(sk7,app(sk8,sk8)))) = app(sk7,app(sk8,sk8)) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_9891]) ).
tcf(c_70063,plain,
( ( tl(cons(skac2,app(sk8,app(sk8,sk4)))) = app(sk8,app(sk8,sk4)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_9891]) ).
tcf(c_70064,plain,
( ( tl(cons(skac2,app(sk8,app(sk8,sk7)))) = app(sk8,app(sk8,sk7)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_9891]) ).
tcf(c_70065,plain,
( ( tl(cons(skac2,app(sk8,app(sk8,sk8)))) = app(sk8,app(sk8,sk8)) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_9891]) ).
tcf(c_70066,plain,
tl(cons(skac2,cons(sk5,app(sk4,sk4)))) = cons(sk5,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_66447,c_9891]) ).
tcf(c_70067,plain,
( ( tl(cons(skac2,cons(sk5,app(sk7,sk4)))) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_9891]) ).
tcf(c_70068,plain,
( ( tl(cons(skac2,cons(sk5,app(sk8,sk4)))) = cons(sk5,app(sk8,sk4)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_9891]) ).
tcf(c_70069,plain,
tl(cons(skac2,cons(sk6,app(sk4,sk4)))) = cons(sk6,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_68222,c_9891]) ).
tcf(c_70070,plain,
tl(cons(skac2,cons(sk6,app(sk7,sk4)))) = cons(sk6,app(sk7,sk4)),
inference(superposition,[status(thm)],[c_68529,c_9891]) ).
tcf(c_70071,plain,
tl(cons(skac2,cons(sk6,app(sk8,sk4)))) = cons(sk6,app(sk8,sk4)),
inference(superposition,[status(thm)],[c_68959,c_9891]) ).
tcf(c_70268,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac2,sk4) = nil )
| ( cons(skac2,sk4) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac2,sk4))
| ( tl(X0) != sk4 )
| ( hd(cons(skac2,sk4)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_69996,c_424]) ).
tcf(c_70278,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac2,sk7) = nil )
| ( cons(skac2,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac2,sk7))
| ( tl(X0) != sk7 )
| ( hd(cons(skac2,sk7)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_69997,c_424]) ).
tcf(c_70288,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac2,sk8) = nil )
| ( cons(skac2,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac2,sk8))
| ( tl(X0) != sk8 )
| ( hd(cons(skac2,sk8)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_69998,c_424]) ).
tcf(c_70298,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac2,nil) = nil )
| ( cons(skac2,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac2,nil))
| ( tl(X0) != nil )
| ( hd(cons(skac2,nil)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_69999,c_424]) ).
tcf(c_70308,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac2,iPr_def_16) = nil )
| ( cons(skac2,iPr_def_16) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac2,iPr_def_16))
| ( tl(X0) != iPr_def_16 )
| ( hd(cons(skac2,iPr_def_16)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_70030,c_424]) ).
tcf(c_70318,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac2,iPr_def_13) = nil )
| ( cons(skac2,iPr_def_13) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac2,iPr_def_13))
| ( tl(X0) != iPr_def_13 )
| ( hd(cons(skac2,iPr_def_13)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_70031,c_424]) ).
tcf(c_70328,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac2,iPr_def_12) = nil )
| ( cons(skac2,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac2,iPr_def_12))
| ( tl(X0) != iPr_def_12 )
| ( hd(cons(skac2,iPr_def_12)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_70032,c_424]) ).
tcf(c_70344,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(X0,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68547,c_400]) ).
tcf(c_70345,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk6,app(sk7,sk4)),X0),X0) = cons(sk6,app(sk7,sk4)) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68547,c_378]) ).
tcf(c_70346,plain,
! [X0: $i] :
( ( cons(sk6,app(sk7,sk4)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(X0,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68547,c_375]) ).
tcf(c_70347,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68547,c_15170]) ).
tcf(c_70350,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ rearsegP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70347,c_9020,c_68529]) ).
tcf(c_70353,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ rearsegP(X0,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70344,c_68529]) ).
tcf(c_70359,plain,
! [X0: $i] :
( ( cons(sk6,app(sk7,sk4)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ rearsegP(X0,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70346,c_68529]) ).
tcf(c_70364,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk6,app(sk7,sk4)),X0),X0) = cons(sk6,app(sk7,sk4)) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70345,c_68529]) ).
tcf(c_70376,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk7,sk4)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk7,sk4))))) = cons(sk6,app(sk7,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68551,c_416]) ).
tcf(c_70377,plain,
! [X0: $i] :
( memberP(app(sk7,sk4),X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_68551,c_408]) ).
tcf(c_70378,plain,
! [X0: $i] :
( memberP(app(sk7,sk4),X0)
| ( X0 = sk6 )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70377,c_6484]) ).
tcf(c_70384,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk7,sk4)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk7,sk4))))) = cons(sk6,app(sk7,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70376,c_68529]) ).
tcf(c_70447,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(X0,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_383,c_68796]) ).
tcf(c_70448,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,app(sk7,sk4))),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(app(X0,cons(sk6,app(sk7,sk4)))) ),
inference(superposition,[status(thm)],[c_807,c_68796]) ).
tcf(c_70452,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,app(sk7,sk4))),sk4)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sk6,app(sk7,sk4)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70448,c_68529]) ).
tcf(c_70456,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70447,c_68529]) ).
tcf(c_70470,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X1)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(X0,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68961,c_399]) ).
tcf(c_70471,plain,
! [X0: $i] :
( ( app(app(skaf47(cons(sk6,app(sk8,sk4)),X0),X0),skaf48(X0,cons(sk6,app(sk8,sk4)))) = cons(sk6,app(sk8,sk4)) )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68961,c_415]) ).
tcf(c_70472,plain,
! [X0: $i] :
( ( cons(sk6,app(sk8,sk4)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(X0,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68961,c_374]) ).
tcf(c_70473,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68961,c_27069]) ).
tcf(c_70476,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68961,c_27109]) ).
tcf(c_70477,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk7)
| ~ segmentP(sk8,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70476,c_24748,c_68959]) ).
tcf(c_70480,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk7)
| ~ segmentP(sk8,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70473,c_9527,c_68959]) ).
tcf(c_70483,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X1)
| ~ segmentP(X0,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70470,c_68959]) ).
tcf(c_70489,plain,
! [X0: $i] :
( ( cons(sk6,app(sk8,sk4)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ segmentP(X0,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70472,c_68959]) ).
tcf(c_70494,plain,
! [X0: $i] :
( ( app(app(skaf47(cons(sk6,app(sk8,sk4)),X0),X0),skaf48(X0,cons(sk6,app(sk8,sk4)))) = cons(sk6,app(sk8,sk4)) )
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70471,c_68959]) ).
tcf(c_70500,plain,
segmentP(cons(sk6,app(sk8,sk4)),sk8),
inference(global_subsumption_just,[status(thm)],[c_68966,c_68959,c_68966]) ).
tcf(c_70502,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(X0,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_70500,c_399]) ).
tcf(c_70503,plain,
( ( app(app(skaf47(cons(sk6,app(sk8,sk4)),sk8),sk8),skaf48(sk8,cons(sk6,app(sk8,sk4)))) = cons(sk6,app(sk8,sk4)) )
| ~ ssList(sk8)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_70500,c_415]) ).
tcf(c_70504,plain,
( ( cons(sk6,app(sk8,sk4)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_70500,c_374]) ).
tcf(c_70505,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(X0)
| ~ segmentP(X0,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70502,c_6482,c_68959]) ).
tcf(c_70509,plain,
( ( cons(sk6,app(sk8,sk4)) = sk8 )
| ~ segmentP(sk8,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70504,c_6482,c_68959]) ).
tcf(c_70512,plain,
app(app(skaf47(cons(sk6,app(sk8,sk4)),sk8),sk8),skaf48(sk8,cons(sk6,app(sk8,sk4)))) = cons(sk6,app(sk8,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_70503,c_6482,c_68959]) ).
tcf(c_70520,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(X0,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68977,c_400]) ).
tcf(c_70521,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk6,app(sk8,sk4)),X0),X0) = cons(sk6,app(sk8,sk4)) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68977,c_378]) ).
tcf(c_70522,plain,
! [X0: $i] :
( ( cons(sk6,app(sk8,sk4)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(X0,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68977,c_375]) ).
tcf(c_70523,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68977,c_15170]) ).
tcf(c_70527,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ rearsegP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70523,c_9020,c_68959]) ).
tcf(c_70530,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ rearsegP(X0,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70520,c_68959]) ).
tcf(c_70536,plain,
! [X0: $i] :
( ( cons(sk6,app(sk8,sk4)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ rearsegP(X0,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70522,c_68959]) ).
tcf(c_70541,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk6,app(sk8,sk4)),X0),X0) = cons(sk6,app(sk8,sk4)) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70521,c_68959]) ).
tcf(c_70553,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk8,sk4)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk8,sk4))))) = cons(sk6,app(sk8,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68981,c_416]) ).
tcf(c_70554,plain,
! [X0: $i] :
( memberP(app(sk8,sk4),X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_68981,c_408]) ).
tcf(c_70555,plain,
! [X0: $i] :
( memberP(app(sk8,sk4),X0)
| ( X0 = sk6 )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70554,c_6484]) ).
tcf(c_70561,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk8,sk4)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk8,sk4))))) = cons(sk6,app(sk8,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70553,c_68959]) ).
tcf(c_70574,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(X0,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_383,c_69620]) ).
tcf(c_70575,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,app(sk8,sk4))),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(app(X0,cons(sk6,app(sk8,sk4)))) ),
inference(superposition,[status(thm)],[c_807,c_69620]) ).
tcf(c_70580,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,app(sk8,sk4))),sk4)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sk6,app(sk8,sk4)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70575,c_68959]) ).
tcf(c_70584,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70574,c_68959]) ).
tcf(c_70600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf82(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf82(X1)))
| ~ ssList(tl(skaf82(X1)))
| ~ leq(X2,hd(skaf82(X1)))
| ~ leq(hd(skaf82(X1)),X2)
| ~ ssList(app(app(X0,skaf82(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf82(X1)),tl(skaf82(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10770,c_432]) ).
tcf(c_70601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf82(X1)))
| leq(hd(skaf82(X1)),X2)
| ( skaf82(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf82(X1)))
| ~ ssList(tl(skaf82(X1)))
| ~ ssList(app(app(X0,skaf82(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf82(X1)),tl(skaf82(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10770,c_431]) ).
tcf(c_70602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf82(X1)))
| lt(hd(skaf82(X1)),X2)
| ( skaf82(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf82(X1)))
| ~ ssList(tl(skaf82(X1)))
| ~ ssList(app(app(X0,skaf82(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf82(X1)),tl(skaf82(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10770,c_430]) ).
tcf(c_70603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf82(X1)),X2)
| ( skaf82(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf82(X1)))
| ~ ssList(tl(skaf82(X1)))
| ~ ssList(app(app(X0,skaf82(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf82(X1)),tl(skaf82(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10770,c_429]) ).
tcf(c_70604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf82(X1)),X2)
| ( skaf82(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf82(X1)))
| ~ ssList(tl(skaf82(X1)))
| ~ ssList(app(app(X0,skaf82(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf82(X1)),tl(skaf82(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10770,c_428]) ).
tcf(c_70605,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf82(X1)))
| ~ ssList(tl(skaf82(X1)))
| ~ ssList(app(app(X0,skaf82(X1)),cons(hd(skaf82(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf82(X1)),tl(skaf82(X1)))),cons(hd(skaf82(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10770,c_426]) ).
tcf(c_70606,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf82(X1)),hd(skaf82(X1)))
| ( skaf82(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf82(X1)))
| ~ ssList(tl(skaf82(X1)))
| ~ ssList(app(X0,cons(hd(skaf82(X1)),tl(skaf82(X1))))) ),
inference(superposition,[status(thm)],[c_10770,c_422]) ).
tcf(c_70607,plain,
! [X0: $i] :
( memberP(skaf82(X0),hd(skaf82(X0)))
| ( skaf82(X0) = nil )
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10770,c_385]) ).
tcf(c_70609,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( tl(skaf82(X0)) = nil )
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0)))
| ( skaf82(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10770,c_21847]) ).
tcf(c_70610,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( tl(skaf82(X0)) = nil )
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0)))
| ( skaf82(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10770,c_21842]) ).
tcf(c_70611,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( hd(skaf82(X0)) = sk5 )
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0)))
| ( skaf82(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10770,c_21750]) ).
tcf(c_70612,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( hd(skaf82(X0)) = sk6 )
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0)))
| ( skaf82(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10770,c_21745]) ).
tcf(c_70613,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( hd(skaf82(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf82(X0))
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10770,c_21595]) ).
tcf(c_70614,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( hd(skaf82(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf82(X0))
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10770,c_21590]) ).
tcf(c_70615,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( hd(skaf82(X0)) = sk5 )
| ~ frontsegP(skaf82(X0),iPr_def_12)
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10770,c_21585]) ).
tcf(c_70616,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( hd(skaf82(X0)) = sk6 )
| ~ frontsegP(skaf82(X0),iPr_def_14)
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10770,c_21580]) ).
tcf(c_70617,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf82(X0)))
| ( skaf82(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf82(X0))
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10770,c_21202]) ).
tcf(c_70618,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf82(X0)))
| ( skaf82(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf82(X0))
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10770,c_21197]) ).
tcf(c_70621,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X0) = nil )
| ( hd(skaf82(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0)))
| ~ frontsegP(skaf82(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10770,c_423]) ).
tcf(c_70622,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf82(X0)),X2)
| ( skaf82(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0)))
| ~ frontsegP(skaf82(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10770,c_421]) ).
tcf(c_70623,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf82(X0)),X1)
| ( skaf82(X0) = nil )
| ( hd(skaf82(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0)))
| ~ memberP(skaf82(X0),X1) ),
inference(superposition,[status(thm)],[c_10770,c_408]) ).
tcf(c_70624,plain,
! [X0: $i] :
( leq(hd(skaf82(X0)),hd(tl(skaf82(X0))))
| ( skaf82(X0) = nil )
| ( tl(skaf82(X0)) = nil )
| ~ totalorderedP(skaf82(X0))
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10770,c_382]) ).
tcf(c_70625,plain,
! [X0: $i] :
( lt(hd(skaf82(X0)),hd(tl(skaf82(X0))))
| ( skaf82(X0) = nil )
| ( tl(skaf82(X0)) = nil )
| ~ strictorderedP(skaf82(X0))
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10770,c_381]) ).
tcf(c_70626,plain,
! [X0: $i] :
( totalorderedP(tl(skaf82(X0)))
| ( skaf82(X0) = nil )
| ( tl(skaf82(X0)) = nil )
| ~ totalorderedP(skaf82(X0))
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10770,c_372]) ).
tcf(c_70627,plain,
! [X0: $i] :
( strictorderedP(tl(skaf82(X0)))
| ( skaf82(X0) = nil )
| ( tl(skaf82(X0)) = nil )
| ~ strictorderedP(skaf82(X0))
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10770,c_371]) ).
tcf(c_70628,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0)))
| ( tl(skaf82(X0)) != skaf82(X0) ) ),
inference(superposition,[status(thm)],[c_10770,c_346]) ).
tcf(c_70630,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf82(X1)),X0),skaf82(X1))
| ( skaf82(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf82(X1)))
| ~ ssList(tl(skaf82(X1)))
| ~ frontsegP(X0,tl(skaf82(X1))) ),
inference(superposition,[status(thm)],[c_10770,c_425]) ).
tcf(c_70631,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X2) = nil )
| ( hd(skaf82(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf82(X2)))
| ~ ssList(tl(skaf82(X2)))
| ~ ssList(app(X0,cons(X1,skaf82(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf82(X2)),tl(skaf82(X2)))))) ),
inference(superposition,[status(thm)],[c_10770,c_427]) ).
tcf(c_70632,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X2) = nil )
| ( tl(skaf82(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf82(X2)))
| ~ ssList(tl(skaf82(X2)))
| ( cons(X0,X1) != skaf82(X2) ) ),
inference(superposition,[status(thm)],[c_10770,c_418]) ).
tcf(c_70633,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X2) = nil )
| ( hd(skaf82(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf82(X2)))
| ~ ssList(tl(skaf82(X2)))
| ( cons(X0,X1) != skaf82(X2) ) ),
inference(superposition,[status(thm)],[c_10770,c_417]) ).
tcf(c_70634,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X2) = nil )
| ( hd(skaf82(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf82(X2)))
| ~ ssList(tl(skaf82(X2)))
| ~ frontsegP(cons(X0,X1),skaf82(X2)) ),
inference(superposition,[status(thm)],[c_10770,c_423]) ).
tcf(c_70635,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf82(X2)))
| ( skaf82(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf82(X2)))
| ~ ssList(tl(skaf82(X2)))
| ~ frontsegP(cons(X0,X1),skaf82(X2)) ),
inference(superposition,[status(thm)],[c_10770,c_421]) ).
tcf(c_70636,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf82(X0),cons(hd(skaf82(X0)),X1))
| ( skaf82(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0)))
| ~ frontsegP(tl(skaf82(X0)),X1) ),
inference(superposition,[status(thm)],[c_10770,c_425]) ).
tcf(c_70637,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(X0),X1)
| ( skaf82(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf82(X0)))
| ~ ssList(tl(skaf82(X0)))
| ~ memberP(tl(skaf82(X0)),X1) ),
inference(superposition,[status(thm)],[c_10770,c_386]) ).
tcf(c_70638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf82(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf82(X3)))
| ~ ssList(tl(skaf82(X3)))
| ~ leq(X1,hd(skaf82(X3)))
| ~ leq(hd(skaf82(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf82(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf82(X3)),tl(skaf82(X3))))) ),
inference(superposition,[status(thm)],[c_10770,c_432]) ).
tcf(c_70639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf82(X3)))
| leq(hd(skaf82(X3)),X1)
| ( skaf82(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf82(X3)))
| ~ ssList(tl(skaf82(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf82(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf82(X3)),tl(skaf82(X3))))) ),
inference(superposition,[status(thm)],[c_10770,c_431]) ).
tcf(c_70640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf82(X3)))
| lt(hd(skaf82(X3)),X1)
| ( skaf82(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf82(X3)))
| ~ ssList(tl(skaf82(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf82(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf82(X3)),tl(skaf82(X3))))) ),
inference(superposition,[status(thm)],[c_10770,c_430]) ).
tcf(c_70641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf82(X3)))
| ( skaf82(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf82(X3)))
| ~ ssList(tl(skaf82(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf82(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf82(X3)),tl(skaf82(X3))))) ),
inference(superposition,[status(thm)],[c_10770,c_429]) ).
tcf(c_70642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf82(X3)))
| ( skaf82(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf82(X3)))
| ~ ssList(tl(skaf82(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf82(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf82(X3)),tl(skaf82(X3))))) ),
inference(superposition,[status(thm)],[c_10770,c_428]) ).
tcf(c_70643,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf82(X1)))
| ~ ssList(tl(skaf82(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf82(X1)),X2)),skaf82(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf82(X1)),X2)),cons(hd(skaf82(X1)),tl(skaf82(X1))))) ),
inference(superposition,[status(thm)],[c_10770,c_426]) ).
tcf(c_71326,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf82(X0)) = nil )
| ( cons(skac2,skaf82(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf82(X0)))
| ( skaf82(X0) != tl(X1) )
| ( hd(cons(skac2,skaf82(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70000,c_424]) ).
tcf(c_71336,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf81(X0)) = nil )
| ( cons(skac2,skaf81(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf81(X0)))
| ( skaf81(X0) != tl(X1) )
| ( hd(cons(skac2,skaf81(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70001,c_424]) ).
tcf(c_71346,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf80(X0)) = nil )
| ( cons(skac2,skaf80(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf80(X0)))
| ( skaf80(X0) != tl(X1) )
| ( hd(cons(skac2,skaf80(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70002,c_424]) ).
tcf(c_71356,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf77(X0)) = nil )
| ( cons(skac2,skaf77(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf77(X0)))
| ( skaf77(X0) != tl(X1) )
| ( hd(cons(skac2,skaf77(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70003,c_424]) ).
tcf(c_71366,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac2,iPr_def_15) = nil )
| ( cons(skac2,iPr_def_15) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac2,iPr_def_15))
| ( tl(X0) != iPr_def_15 )
| ( hd(cons(skac2,iPr_def_15)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_70033,c_424]) ).
tcf(c_71376,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skac2,iPr_def_14) = nil )
| ( cons(skac2,iPr_def_14) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(skac2,iPr_def_14))
| ( tl(X0) != iPr_def_14 )
| ( hd(cons(skac2,iPr_def_14)) != hd(X0) ) ),
inference(superposition,[status(thm)],[c_70034,c_424]) ).
tcf(c_71386,plain,
( frontsegP(iPr_def_16,nil)
| ~ frontsegP(sk7,sk8) ),
inference(light_normalisation,[status(thm)],[c_26204,c_29830]) ).
tcf(c_71387,plain,
( frontsegP(iPr_def_16,nil)
| ~ frontsegP(iPr_def_15,sk4) ),
inference(light_normalisation,[status(thm)],[c_26207,c_29872]) ).
tcf(c_71395,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk4)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_419,c_69805]) ).
tcf(c_71396,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,cons(sk6,app(sk4,sk4))),X1),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ ssList(app(app(X0,cons(sk6,app(sk4,sk4))),X1)) ),
inference(superposition,[status(thm)],[c_420,c_69805]) ).
tcf(c_71397,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(iPr_def_12,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20331,c_69805]) ).
tcf(c_71398,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20339,c_69805]) ).
tcf(c_71401,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(nil,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20310,c_69805]) ).
tcf(c_71402,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20290,c_69805]) ).
tcf(c_71403,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(nil,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20305,c_69805]) ).
tcf(c_71404,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20285,c_69805]) ).
tcf(c_71405,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_36763,c_69805]) ).
tcf(c_71406,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_36958,c_69805]) ).
tcf(c_71407,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_37047,c_69805]) ).
tcf(c_71417,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk4)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_46269,c_69805]) ).
tcf(c_71418,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk4)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_46627,c_69805]) ).
tcf(c_71419,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk4)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_46935,c_69805]) ).
tcf(c_71420,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk4)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_49501,c_69805]) ).
tcf(c_71421,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk4)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_50076,c_69805]) ).
tcf(c_71422,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk4)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_50639,c_69805]) ).
tcf(c_71423,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk4)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_52483,c_69805]) ).
tcf(c_71424,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk4)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_53190,c_69805]) ).
tcf(c_71425,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk4)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_53742,c_69805]) ).
tcf(c_71426,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk4)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_57364,c_69805]) ).
tcf(c_71427,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk4)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_57774,c_69805]) ).
tcf(c_71428,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk4)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_58149,c_69805]) ).
tcf(c_71429,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk4)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_59837,c_69805]) ).
tcf(c_71430,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk4)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_60305,c_69805]) ).
tcf(c_71431,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk4)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_60713,c_69805]) ).
tcf(c_71432,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk4)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_62324,c_69805]) ).
tcf(c_71433,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk4)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_62735,c_69805]) ).
tcf(c_71434,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk4)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_63072,c_69805]) ).
tcf(c_71436,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk4)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68531,c_69805]) ).
tcf(c_71437,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk4)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68961,c_69805]) ).
tcf(c_71438,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71404,c_68222]) ).
tcf(c_71443,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(nil,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71403,c_68222]) ).
tcf(c_71448,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71402,c_68222]) ).
tcf(c_71453,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(nil,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71401,c_68222]) ).
tcf(c_71458,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71398,c_68222]) ).
tcf(c_71463,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(iPr_def_12,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71397,c_68222]) ).
tcf(c_71468,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk4)
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71437,c_68959,c_68222]) ).
tcf(c_71471,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk4)
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71436,c_68529,c_68222]) ).
tcf(c_71474,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk4)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71434,c_68222]) ).
tcf(c_71478,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk4)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71433,c_68222]) ).
tcf(c_71482,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk4)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71432,c_68222]) ).
tcf(c_71486,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk4)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71431,c_68222]) ).
tcf(c_71490,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk4)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71430,c_68222]) ).
tcf(c_71494,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk4)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71429,c_68222]) ).
tcf(c_71498,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk4)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71428,c_68222]) ).
tcf(c_71502,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk4)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71427,c_68222]) ).
tcf(c_71506,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk4)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71426,c_68222]) ).
tcf(c_71510,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk4)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71425,c_68222]) ).
tcf(c_71514,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk4)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71424,c_68222]) ).
tcf(c_71518,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk4)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71423,c_68222]) ).
tcf(c_71522,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk4)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71422,c_68222]) ).
tcf(c_71526,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk4)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71421,c_68222]) ).
tcf(c_71530,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk4)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71420,c_68222]) ).
tcf(c_71534,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk4)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71419,c_68222]) ).
tcf(c_71538,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk4)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71418,c_68222]) ).
tcf(c_71542,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk4)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71417,c_68222]) ).
tcf(c_71546,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71407,c_68222]) ).
tcf(c_71551,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71406,c_68222]) ).
tcf(c_71557,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,cons(sk6,app(sk4,sk4))),X1),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(sk6,app(sk4,sk4))),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71396,c_68222]) ).
tcf(c_71562,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk4)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71395,c_68222]) ).
tcf(c_71636,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk7)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_419,c_69982]) ).
tcf(c_71637,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,cons(sk6,app(sk7,sk4))),X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(app(app(X0,cons(sk6,app(sk7,sk4))),X1)) ),
inference(superposition,[status(thm)],[c_420,c_69982]) ).
tcf(c_71638,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(iPr_def_12,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_20331,c_69982]) ).
tcf(c_71639,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_20339,c_69982]) ).
tcf(c_71640,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(nil,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_20315,c_69982]) ).
tcf(c_71641,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_20295,c_69982]) ).
tcf(c_71644,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(nil,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_20305,c_69982]) ).
tcf(c_71645,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_20285,c_69982]) ).
tcf(c_71646,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_36763,c_69982]) ).
tcf(c_71647,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_36958,c_69982]) ).
tcf(c_71648,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_37047,c_69982]) ).
tcf(c_71649,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_38396,c_69982]) ).
tcf(c_71650,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_38769,c_69982]) ).
tcf(c_71651,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_39419,c_69982]) ).
tcf(c_71652,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_41217,c_69982]) ).
tcf(c_71653,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_41665,c_69982]) ).
tcf(c_71654,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_42055,c_69982]) ).
tcf(c_71655,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_43065,c_69982]) ).
tcf(c_71656,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_43810,c_69982]) ).
tcf(c_71657,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_44222,c_69982]) ).
tcf(c_71667,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk7)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_57364,c_69982]) ).
tcf(c_71668,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk7)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_57774,c_69982]) ).
tcf(c_71669,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk7)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_58149,c_69982]) ).
tcf(c_71670,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_59837,c_69982]) ).
tcf(c_71671,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_60305,c_69982]) ).
tcf(c_71672,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk7)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_60713,c_69982]) ).
tcf(c_71673,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk7)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_62324,c_69982]) ).
tcf(c_71674,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk7)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_62735,c_69982]) ).
tcf(c_71675,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk7)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_63072,c_69982]) ).
tcf(c_71676,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68224,c_69982]) ).
tcf(c_71678,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68961,c_69982]) ).
tcf(c_71679,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71645,c_68529]) ).
tcf(c_71684,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(nil,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71644,c_68529]) ).
tcf(c_71689,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71641,c_68529]) ).
tcf(c_71694,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(nil,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71640,c_68529]) ).
tcf(c_71699,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71639,c_68529]) ).
tcf(c_71704,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(iPr_def_12,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71638,c_68529]) ).
tcf(c_71709,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk7)
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71678,c_68959,c_68529]) ).
tcf(c_71712,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71676,c_68529,c_68222]) ).
tcf(c_71715,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk7)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71675,c_68529]) ).
tcf(c_71719,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk7)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71674,c_68529]) ).
tcf(c_71723,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk7)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71673,c_68529]) ).
tcf(c_71727,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk7)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71672,c_68529]) ).
tcf(c_71731,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71671,c_68529]) ).
tcf(c_71735,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71670,c_68529]) ).
tcf(c_71739,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk7)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71669,c_68529]) ).
tcf(c_71743,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk7)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71668,c_68529]) ).
tcf(c_71747,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk7)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71667,c_68529]) ).
tcf(c_71751,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71657,c_68529]) ).
tcf(c_71755,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71656,c_68529]) ).
tcf(c_71759,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71655,c_68529]) ).
tcf(c_71763,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71654,c_68529]) ).
tcf(c_71767,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71653,c_68529]) ).
tcf(c_71771,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71652,c_68529]) ).
tcf(c_71775,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71651,c_68529]) ).
tcf(c_71779,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71650,c_68529]) ).
tcf(c_71783,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71649,c_68529]) ).
tcf(c_71787,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71648,c_68529]) ).
tcf(c_71793,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71646,c_68529]) ).
tcf(c_71798,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,cons(sk6,app(sk7,sk4))),X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(sk6,app(sk7,sk4))),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71637,c_68529]) ).
tcf(c_71803,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk7)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71636,c_68529]) ).
tcf(c_71877,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk8)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_419,c_70505]) ).
tcf(c_71878,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,cons(sk6,app(sk8,sk4))),X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(app(app(X0,cons(sk6,app(sk8,sk4))),X1)) ),
inference(superposition,[status(thm)],[c_420,c_70505]) ).
tcf(c_71879,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(iPr_def_12,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_20331,c_70505]) ).
tcf(c_71881,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(nil,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_20315,c_70505]) ).
tcf(c_71882,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_20295,c_70505]) ).
tcf(c_71883,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(nil,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_20310,c_70505]) ).
tcf(c_71884,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_20290,c_70505]) ).
tcf(c_71887,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_36763,c_70505]) ).
tcf(c_71888,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_36958,c_70505]) ).
tcf(c_71889,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_37047,c_70505]) ).
tcf(c_71890,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk8)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_38396,c_70505]) ).
tcf(c_71891,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk8)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_38769,c_70505]) ).
tcf(c_71892,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk8)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_39419,c_70505]) ).
tcf(c_71893,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk8)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_41217,c_70505]) ).
tcf(c_71894,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk8)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_41665,c_70505]) ).
tcf(c_71895,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk8)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_42055,c_70505]) ).
tcf(c_71896,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_43065,c_70505]) ).
tcf(c_71897,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_43810,c_70505]) ).
tcf(c_71898,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_44222,c_70505]) ).
tcf(c_71899,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk8)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_46269,c_70505]) ).
tcf(c_71900,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk8)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_46627,c_70505]) ).
tcf(c_71901,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk8)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_46935,c_70505]) ).
tcf(c_71902,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk8)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_49501,c_70505]) ).
tcf(c_71903,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk8)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_50076,c_70505]) ).
tcf(c_71904,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk8)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_50639,c_70505]) ).
tcf(c_71905,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_52483,c_70505]) ).
tcf(c_71906,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_53190,c_70505]) ).
tcf(c_71907,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk8)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_53742,c_70505]) ).
tcf(c_71917,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk8)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68224,c_70505]) ).
tcf(c_71918,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk8)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68531,c_70505]) ).
tcf(c_71920,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71884,c_68959]) ).
tcf(c_71925,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(nil,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71883,c_68959]) ).
tcf(c_71930,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71882,c_68959]) ).
tcf(c_71935,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(nil,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71881,c_68959]) ).
tcf(c_71940,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(iPr_def_12,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71879,c_68959]) ).
tcf(c_71945,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk8)
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71918,c_68959,c_68529]) ).
tcf(c_71948,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71917,c_68959,c_68222]) ).
tcf(c_71951,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk8)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71907,c_68959]) ).
tcf(c_71955,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71906,c_68959]) ).
tcf(c_71959,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71905,c_68959]) ).
tcf(c_71963,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk8)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71904,c_68959]) ).
tcf(c_71967,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk8)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71903,c_68959]) ).
tcf(c_71971,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk8)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71902,c_68959]) ).
tcf(c_71975,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk8)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71901,c_68959]) ).
tcf(c_71979,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk8)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71900,c_68959]) ).
tcf(c_71983,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk8)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71899,c_68959]) ).
tcf(c_71987,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71898,c_68959]) ).
tcf(c_71991,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71897,c_68959]) ).
tcf(c_71995,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71896,c_68959]) ).
tcf(c_71999,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk8)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71895,c_68959]) ).
tcf(c_72003,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk8)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71894,c_68959]) ).
tcf(c_72007,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk8)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71893,c_68959]) ).
tcf(c_72011,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk8)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71892,c_68959]) ).
tcf(c_72015,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk8)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71891,c_68959]) ).
tcf(c_72019,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk8)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71890,c_68959]) ).
tcf(c_72024,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71888,c_68959]) ).
tcf(c_72029,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71887,c_68959]) ).
tcf(c_72034,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,cons(sk6,app(sk8,sk4))),X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(sk6,app(sk8,sk4))),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71878,c_68959]) ).
tcf(c_72039,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk8)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71877,c_68959]) ).
tcf(c_72127,plain,
( ( sk4 = nil )
| ~ ssList(nil)
| ( cons(sk5,sk4) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9518,c_66429]) ).
tcf(c_72128,plain,
( ( skaf45(iPr_def_12,iPr_def_12) = sk4 )
| ~ ssList(skaf45(iPr_def_12,iPr_def_12))
| ( cons(sk5,sk4) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_13144,c_66429]) ).
tcf(c_72130,plain,
( ( sk4 = nil )
| ( cons(sk5,sk4) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72127,c_255]) ).
tcf(c_72133,plain,
( ( skaf45(iPr_def_12,iPr_def_12) = sk4 )
| ( cons(sk5,sk4) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72128,c_298]) ).
tcf(c_72145,plain,
( ( cons(sk6,sk4) = iPr_def_12 )
| ~ ssList(cons(sk6,sk4))
| ( cons(sk6,app(sk4,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_67523,c_66433]) ).
tcf(c_72146,plain,
( ( cons(sk6,sk7) = iPr_def_12 )
| ~ ssList(cons(sk6,sk7))
| ( cons(sk6,app(sk7,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_67524,c_66433]) ).
tcf(c_72147,plain,
( ( cons(sk6,sk8) = iPr_def_12 )
| ~ ssList(cons(sk6,sk8))
| ( cons(sk6,app(sk8,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_67525,c_66433]) ).
tcf(c_72148,plain,
( ( app(sk4,sk4) = iPr_def_12 )
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_37935,c_66433]) ).
tcf(c_72149,plain,
( ( app(sk7,sk4) = iPr_def_12 )
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_40759,c_66433]) ).
tcf(c_72150,plain,
( ( app(sk8,sk4) = iPr_def_12 )
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_42873,c_66433]) ).
tcf(c_72151,plain,
( ( app(sk4,sk7) = iPr_def_12 )
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_45960,c_66433]) ).
tcf(c_72152,plain,
( ( app(sk7,sk7) = iPr_def_12 )
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_49245,c_66433]) ).
tcf(c_72153,plain,
( ( app(sk8,sk7) = iPr_def_12 )
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_52217,c_66433]) ).
tcf(c_72154,plain,
( ( app(sk4,sk8) = iPr_def_12 )
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_56775,c_66433]) ).
tcf(c_72155,plain,
( ( app(sk7,sk8) = iPr_def_12 )
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_59493,c_66433]) ).
tcf(c_72156,plain,
( ( app(sk8,sk8) = iPr_def_12 )
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_61814,c_66433]) ).
tcf(c_72157,plain,
( ( cons(sk5,sk4) = iPr_def_12 )
| ~ ssList(cons(sk5,sk4))
| ( cons(sk5,app(sk4,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_64867,c_66433]) ).
tcf(c_72158,plain,
( ( cons(sk5,sk7) = iPr_def_12 )
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_64868,c_66433]) ).
tcf(c_72159,plain,
( ( cons(sk5,sk8) = iPr_def_12 )
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_64869,c_66433]) ).
tcf(c_72160,plain,
( ( skaf46(cons(sk5,sk4),sk4) = iPr_def_12 )
| ~ ssList(skaf46(cons(sk5,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_66648,c_66433]) ).
tcf(c_72161,plain,
skaf46(cons(sk5,sk4),sk4) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_72160,c_297]) ).
tcf(c_72168,plain,
( ( cons(sk5,sk4) = iPr_def_12 )
| ( cons(sk5,app(sk4,sk4)) != cons(sk5,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72157,c_66402]) ).
tcf(c_72198,plain,
( ( cons(sk6,sk8) = iPr_def_12 )
| ( cons(sk6,app(sk8,sk4)) != cons(sk5,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72147,c_28938]) ).
tcf(c_72201,plain,
( ( cons(sk6,sk7) = iPr_def_12 )
| ( cons(sk6,app(sk7,sk4)) != cons(sk5,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72146,c_28940]) ).
tcf(c_72204,plain,
( ( cons(sk6,sk4) = iPr_def_12 )
| ( cons(sk6,app(sk4,sk4)) != cons(sk5,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72145,c_28942]) ).
tcf(c_72213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf81(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf81(X1)))
| ~ ssList(tl(skaf81(X1)))
| ~ leq(X2,hd(skaf81(X1)))
| ~ leq(hd(skaf81(X1)),X2)
| ~ ssList(app(app(X0,skaf81(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf81(X1)),tl(skaf81(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10771,c_432]) ).
tcf(c_72214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf81(X1)))
| leq(hd(skaf81(X1)),X2)
| ( skaf81(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf81(X1)))
| ~ ssList(tl(skaf81(X1)))
| ~ ssList(app(app(X0,skaf81(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf81(X1)),tl(skaf81(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10771,c_431]) ).
tcf(c_72215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf81(X1)))
| lt(hd(skaf81(X1)),X2)
| ( skaf81(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf81(X1)))
| ~ ssList(tl(skaf81(X1)))
| ~ ssList(app(app(X0,skaf81(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf81(X1)),tl(skaf81(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10771,c_430]) ).
tcf(c_72216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf81(X1)),X2)
| ( skaf81(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf81(X1)))
| ~ ssList(tl(skaf81(X1)))
| ~ ssList(app(app(X0,skaf81(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf81(X1)),tl(skaf81(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10771,c_429]) ).
tcf(c_72217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf81(X1)),X2)
| ( skaf81(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf81(X1)))
| ~ ssList(tl(skaf81(X1)))
| ~ ssList(app(app(X0,skaf81(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf81(X1)),tl(skaf81(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10771,c_428]) ).
tcf(c_72218,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf81(X1)))
| ~ ssList(tl(skaf81(X1)))
| ~ ssList(app(app(X0,skaf81(X1)),cons(hd(skaf81(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf81(X1)),tl(skaf81(X1)))),cons(hd(skaf81(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10771,c_426]) ).
tcf(c_72219,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf81(X1)),hd(skaf81(X1)))
| ( skaf81(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf81(X1)))
| ~ ssList(tl(skaf81(X1)))
| ~ ssList(app(X0,cons(hd(skaf81(X1)),tl(skaf81(X1))))) ),
inference(superposition,[status(thm)],[c_10771,c_422]) ).
tcf(c_72220,plain,
! [X0: $i] :
( memberP(skaf81(X0),hd(skaf81(X0)))
| ( skaf81(X0) = nil )
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10771,c_385]) ).
tcf(c_72222,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( tl(skaf81(X0)) = nil )
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0)))
| ( skaf81(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10771,c_21847]) ).
tcf(c_72223,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( tl(skaf81(X0)) = nil )
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0)))
| ( skaf81(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10771,c_21842]) ).
tcf(c_72224,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( hd(skaf81(X0)) = sk5 )
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0)))
| ( skaf81(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10771,c_21750]) ).
tcf(c_72225,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( hd(skaf81(X0)) = sk6 )
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0)))
| ( skaf81(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10771,c_21745]) ).
tcf(c_72226,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( hd(skaf81(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf81(X0))
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10771,c_21595]) ).
tcf(c_72227,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( hd(skaf81(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf81(X0))
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10771,c_21590]) ).
tcf(c_72228,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( hd(skaf81(X0)) = sk5 )
| ~ frontsegP(skaf81(X0),iPr_def_12)
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10771,c_21585]) ).
tcf(c_72229,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( hd(skaf81(X0)) = sk6 )
| ~ frontsegP(skaf81(X0),iPr_def_14)
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10771,c_21580]) ).
tcf(c_72230,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf81(X0)))
| ( skaf81(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf81(X0))
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10771,c_21202]) ).
tcf(c_72231,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf81(X0)))
| ( skaf81(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf81(X0))
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10771,c_21197]) ).
tcf(c_72234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X0) = nil )
| ( hd(skaf81(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0)))
| ~ frontsegP(skaf81(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10771,c_423]) ).
tcf(c_72235,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf81(X0)),X2)
| ( skaf81(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0)))
| ~ frontsegP(skaf81(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10771,c_421]) ).
tcf(c_72236,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf81(X0)),X1)
| ( skaf81(X0) = nil )
| ( hd(skaf81(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0)))
| ~ memberP(skaf81(X0),X1) ),
inference(superposition,[status(thm)],[c_10771,c_408]) ).
tcf(c_72237,plain,
! [X0: $i] :
( leq(hd(skaf81(X0)),hd(tl(skaf81(X0))))
| ( skaf81(X0) = nil )
| ( tl(skaf81(X0)) = nil )
| ~ totalorderedP(skaf81(X0))
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10771,c_382]) ).
tcf(c_72238,plain,
! [X0: $i] :
( lt(hd(skaf81(X0)),hd(tl(skaf81(X0))))
| ( skaf81(X0) = nil )
| ( tl(skaf81(X0)) = nil )
| ~ strictorderedP(skaf81(X0))
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10771,c_381]) ).
tcf(c_72239,plain,
! [X0: $i] :
( totalorderedP(tl(skaf81(X0)))
| ( skaf81(X0) = nil )
| ( tl(skaf81(X0)) = nil )
| ~ totalorderedP(skaf81(X0))
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10771,c_372]) ).
tcf(c_72240,plain,
! [X0: $i] :
( strictorderedP(tl(skaf81(X0)))
| ( skaf81(X0) = nil )
| ( tl(skaf81(X0)) = nil )
| ~ strictorderedP(skaf81(X0))
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10771,c_371]) ).
tcf(c_72241,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0)))
| ( tl(skaf81(X0)) != skaf81(X0) ) ),
inference(superposition,[status(thm)],[c_10771,c_346]) ).
tcf(c_72243,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf81(X1)),X0),skaf81(X1))
| ( skaf81(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf81(X1)))
| ~ ssList(tl(skaf81(X1)))
| ~ frontsegP(X0,tl(skaf81(X1))) ),
inference(superposition,[status(thm)],[c_10771,c_425]) ).
tcf(c_72244,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X2) = nil )
| ( hd(skaf81(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf81(X2)))
| ~ ssList(tl(skaf81(X2)))
| ~ ssList(app(X0,cons(X1,skaf81(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf81(X2)),tl(skaf81(X2)))))) ),
inference(superposition,[status(thm)],[c_10771,c_427]) ).
tcf(c_72245,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X2) = nil )
| ( tl(skaf81(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf81(X2)))
| ~ ssList(tl(skaf81(X2)))
| ( cons(X0,X1) != skaf81(X2) ) ),
inference(superposition,[status(thm)],[c_10771,c_418]) ).
tcf(c_72246,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X2) = nil )
| ( hd(skaf81(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf81(X2)))
| ~ ssList(tl(skaf81(X2)))
| ( cons(X0,X1) != skaf81(X2) ) ),
inference(superposition,[status(thm)],[c_10771,c_417]) ).
tcf(c_72247,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X2) = nil )
| ( hd(skaf81(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf81(X2)))
| ~ ssList(tl(skaf81(X2)))
| ~ frontsegP(cons(X0,X1),skaf81(X2)) ),
inference(superposition,[status(thm)],[c_10771,c_423]) ).
tcf(c_72248,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf81(X2)))
| ( skaf81(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf81(X2)))
| ~ ssList(tl(skaf81(X2)))
| ~ frontsegP(cons(X0,X1),skaf81(X2)) ),
inference(superposition,[status(thm)],[c_10771,c_421]) ).
tcf(c_72249,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf81(X0),cons(hd(skaf81(X0)),X1))
| ( skaf81(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0)))
| ~ frontsegP(tl(skaf81(X0)),X1) ),
inference(superposition,[status(thm)],[c_10771,c_425]) ).
tcf(c_72250,plain,
! [X0: $i,X1: $i] :
( memberP(skaf81(X0),X1)
| ( skaf81(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf81(X0)))
| ~ ssList(tl(skaf81(X0)))
| ~ memberP(tl(skaf81(X0)),X1) ),
inference(superposition,[status(thm)],[c_10771,c_386]) ).
tcf(c_72251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf81(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf81(X3)))
| ~ ssList(tl(skaf81(X3)))
| ~ leq(X1,hd(skaf81(X3)))
| ~ leq(hd(skaf81(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf81(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf81(X3)),tl(skaf81(X3))))) ),
inference(superposition,[status(thm)],[c_10771,c_432]) ).
tcf(c_72252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf81(X3)))
| leq(hd(skaf81(X3)),X1)
| ( skaf81(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf81(X3)))
| ~ ssList(tl(skaf81(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf81(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf81(X3)),tl(skaf81(X3))))) ),
inference(superposition,[status(thm)],[c_10771,c_431]) ).
tcf(c_72253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf81(X3)))
| lt(hd(skaf81(X3)),X1)
| ( skaf81(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf81(X3)))
| ~ ssList(tl(skaf81(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf81(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf81(X3)),tl(skaf81(X3))))) ),
inference(superposition,[status(thm)],[c_10771,c_430]) ).
tcf(c_72254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf81(X3)))
| ( skaf81(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf81(X3)))
| ~ ssList(tl(skaf81(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf81(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf81(X3)),tl(skaf81(X3))))) ),
inference(superposition,[status(thm)],[c_10771,c_429]) ).
tcf(c_72255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf81(X3)))
| ( skaf81(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf81(X3)))
| ~ ssList(tl(skaf81(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf81(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf81(X3)),tl(skaf81(X3))))) ),
inference(superposition,[status(thm)],[c_10771,c_428]) ).
tcf(c_72256,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf81(X1)))
| ~ ssList(tl(skaf81(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf81(X1)),X2)),skaf81(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf81(X1)),X2)),cons(hd(skaf81(X1)),tl(skaf81(X1))))) ),
inference(superposition,[status(thm)],[c_10771,c_426]) ).
tcf(c_72617,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf76(X0)) = nil )
| ( cons(skac2,skaf76(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf76(X0)))
| ( skaf76(X0) != tl(X1) )
| ( hd(cons(skac2,skaf76(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70004,c_424]) ).
tcf(c_72627,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf75(X0)) = nil )
| ( cons(skac2,skaf75(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf75(X0)))
| ( skaf75(X0) != tl(X1) )
| ( hd(cons(skac2,skaf75(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70005,c_424]) ).
tcf(c_72637,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf73(X0)) = nil )
| ( cons(skac2,skaf73(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf73(X0)))
| ( skaf73(X0) != tl(X1) )
| ( hd(cons(skac2,skaf73(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70006,c_424]) ).
tcf(c_72647,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf72(X0)) = nil )
| ( cons(skac2,skaf72(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf72(X0)))
| ( skaf72(X0) != tl(X1) )
| ( hd(cons(skac2,skaf72(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70007,c_424]) ).
tcf(c_72716,plain,
( frontsegP(iPr_def_16,nil)
| ~ frontsegP(iPr_def_15,sk8) ),
inference(light_normalisation,[status(thm)],[c_26210,c_29830]) ).
tcf(c_72717,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,cons(sk6,sk8))))
| ( cons(sk6,cons(sk6,sk8)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,cons(sk6,sk8)))
| ~ ssList(cons(sk6,cons(sk6,sk8))) ),
inference(superposition,[status(thm)],[c_29030,c_407]) ).
tcf(c_72718,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,cons(sk6,sk8))))
| ( cons(sk6,cons(sk6,sk8)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,cons(sk6,sk8)))
| ~ ssList(cons(sk6,cons(sk6,sk8))) ),
inference(superposition,[status(thm)],[c_29030,c_406]) ).
tcf(c_72734,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,cons(sk6,sk8))))
| ( cons(sk5,cons(sk6,sk8)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,cons(sk6,sk8)))
| ~ ssList(cons(sk5,cons(sk6,sk8))) ),
inference(superposition,[status(thm)],[c_29033,c_407]) ).
tcf(c_72735,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,cons(sk6,sk8))))
| ( cons(sk5,cons(sk6,sk8)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,cons(sk6,sk8)))
| ~ ssList(cons(sk5,cons(sk6,sk8))) ),
inference(superposition,[status(thm)],[c_29033,c_406]) ).
tcf(c_72759,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk4),X1)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(X0,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68249,c_401]) ).
tcf(c_72760,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,app(sk4,sk4)),X0)) = cons(sk6,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk4),X0)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68249,c_379]) ).
tcf(c_72761,plain,
! [X0: $i] :
( ( cons(sk6,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk4),X0)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(X0,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68249,c_376]) ).
tcf(c_72762,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk4),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_68249,c_423]) ).
tcf(c_72763,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sk4,sk4),X1)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk4),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_68249,c_421]) ).
tcf(c_72764,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(cons(sk6,sk4),iPr_def_13)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68249,c_15594]) ).
tcf(c_72765,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(cons(sk6,sk4),iPr_def_15)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68249,c_28779]) ).
tcf(c_72766,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(cons(sk6,sk4),iPr_def_16)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68249,c_26336]) ).
tcf(c_72767,plain,
( ( sk5 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(iPr_def_12)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(cons(sk6,sk4),iPr_def_12) ),
inference(superposition,[status(thm)],[c_68249,c_21585]) ).
tcf(c_72769,plain,
( ~ ssList(app(sk4,sk4))
| ~ frontsegP(cons(sk6,sk4),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72767,c_6481,c_6484,c_9489]) ).
tcf(c_72772,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk4),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72766,c_9020,c_68222]) ).
tcf(c_72775,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk4),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72765,c_24748,c_68222]) ).
tcf(c_72778,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk4),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72764,c_9527,c_68222]) ).
tcf(c_72781,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk4),X1)
| ~ frontsegP(X0,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72759,c_68222]) ).
tcf(c_72787,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk4),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72762,c_6484]) ).
tcf(c_72794,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sk4,sk4),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk4),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72763,c_6484]) ).
tcf(c_72801,plain,
! [X0: $i] :
( ( cons(sk6,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk4),X0)
| ~ frontsegP(X0,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72761,c_68222]) ).
tcf(c_72806,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,app(sk4,sk4)),X0)) = cons(sk6,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72760,c_68222]) ).
tcf(c_72825,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk4,sk4)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk4,sk4))))) = cons(sk6,app(sk4,sk4)) )
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk4),X0)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68253,c_416]) ).
tcf(c_72826,plain,
! [X0: $i] :
( memberP(app(sk4,sk4),X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk4))
| ~ memberP(cons(sk6,sk4),X0) ),
inference(superposition,[status(thm)],[c_68253,c_408]) ).
tcf(c_72827,plain,
! [X0: $i] :
( memberP(app(sk4,sk4),X0)
| ( X0 = sk6 )
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk4))
| ~ memberP(cons(sk6,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72826,c_6484]) ).
tcf(c_72833,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk4,sk4)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk4,sk4))))) = cons(sk6,app(sk4,sk4)) )
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72825,c_68222]) ).
tcf(c_72839,plain,
~ rearsegP(sk4,cons(sk6,app(sk4,sk4))),
inference(global_subsumption_just,[status(thm)],[c_68489,c_68233,c_68489]) ).
tcf(c_72843,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk4)),sk4))
| ~ ssList(app(app(skaf46(cons(sk6,app(sk4,sk4)),sk4),sk4),X0)) ),
inference(superposition,[status(thm)],[c_68492,c_420]) ).
tcf(c_72844,plain,
! [X0: $i] :
( ( skaf46(cons(sk6,app(sk4,sk4)),sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk4)),sk4))
| ( cons(sk6,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_68492,c_398]) ).
tcf(c_72846,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(cons(sk6,app(sk4,sk4)),sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk4,sk4)),X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_68492,c_405]) ).
tcf(c_72849,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),skaf46(cons(sk6,app(sk4,sk4)),sk4))
| ~ ssList(sk4)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_68492,c_808]) ).
tcf(c_72851,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_68492,c_388]) ).
tcf(c_72852,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_68492,c_383]) ).
tcf(c_72853,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk4)),sk4))
| ( app(skaf46(cons(sk6,app(sk4,sk4)),sk4),X0) != cons(sk6,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_68492,c_397]) ).
tcf(c_72854,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk4)),sk4))
| ~ memberP(skaf46(cons(sk6,app(sk4,sk4)),sk4),X0) ),
inference(superposition,[status(thm)],[c_68492,c_387]) ).
tcf(c_72855,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk4)),sk4))
| ~ frontsegP(skaf46(cons(sk6,app(sk4,sk4)),sk4),X0) ),
inference(superposition,[status(thm)],[c_68492,c_384]) ).
tcf(c_72856,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk4,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_68492,c_419]) ).
tcf(c_72857,plain,
( ( skaf46(cons(sk6,app(sk4,sk4)),sk4) = iPr_def_12 )
| ~ ssList(skaf46(cons(sk6,app(sk4,sk4)),sk4))
| ( cons(sk6,app(sk4,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_68492,c_66433]) ).
tcf(c_72858,plain,
( ( skaf46(cons(sk6,app(sk4,sk4)),sk4) = iPr_def_14 )
| ~ ssList(skaf46(cons(sk6,app(sk4,sk4)),sk4))
| ( cons(sk6,app(sk4,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_68492,c_51225]) ).
tcf(c_72860,plain,
frontsegP(cons(sk6,app(sk4,sk4)),skaf46(cons(sk6,app(sk4,sk4)),sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_72849,c_6486,c_297]) ).
tcf(c_72863,plain,
( ( skaf46(cons(sk6,app(sk4,sk4)),sk4) = iPr_def_14 )
| ( cons(sk6,app(sk4,sk4)) != cons(sk6,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72858,c_297]) ).
tcf(c_72866,plain,
( ( skaf46(cons(sk6,app(sk4,sk4)),sk4) = iPr_def_12 )
| ( cons(sk6,app(sk4,sk4)) != cons(sk5,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72857,c_297]) ).
tcf(c_72870,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(cons(sk6,app(sk4,sk4)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72855,c_6486,c_297]) ).
tcf(c_72874,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(cons(sk6,app(sk4,sk4)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72854,c_6486,c_297]) ).
tcf(c_72878,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(cons(sk6,app(sk4,sk4)),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk4,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72846,c_6486,c_297]) ).
tcf(c_72883,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(skaf46(cons(sk6,app(sk4,sk4)),sk4),X0) != cons(sk6,app(sk4,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72853,c_6486,c_297]) ).
tcf(c_72887,plain,
! [X0: $i] :
( ( skaf46(cons(sk6,app(sk4,sk4)),sk4) = X0 )
| ~ ssList(X0)
| ( cons(sk6,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72844,c_6486,c_297]) ).
tcf(c_72891,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk4)),sk4))
| ~ ssList(app(cons(sk6,app(sk4,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_72843,c_68492]) ).
tcf(c_72898,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,app(sk4,sk4)),sk4))
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(X0,cons(sk6,app(sk4,sk4)))
| ~ ssList(skaf46(cons(sk6,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_72860,c_401]) ).
tcf(c_72899,plain,
( ( app(skaf46(cons(sk6,app(sk4,sk4)),sk4),skaf45(cons(sk6,app(sk4,sk4)),skaf46(cons(sk6,app(sk4,sk4)),sk4))) = cons(sk6,app(sk4,sk4)) )
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ ssList(skaf46(cons(sk6,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_72860,c_379]) ).
tcf(c_72900,plain,
( ( skaf46(cons(sk6,app(sk4,sk4)),sk4) = cons(sk6,app(sk4,sk4)) )
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ ssList(skaf46(cons(sk6,app(sk4,sk4)),sk4))
| ~ frontsegP(skaf46(cons(sk6,app(sk4,sk4)),sk4),cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_72860,c_376]) ).
tcf(c_72901,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,app(sk4,sk4)),sk4))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72898,c_68222,c_297]) ).
tcf(c_72905,plain,
( ( skaf46(cons(sk6,app(sk4,sk4)),sk4) = cons(sk6,app(sk4,sk4)) )
| ~ frontsegP(skaf46(cons(sk6,app(sk4,sk4)),sk4),cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72900,c_68222,c_297]) ).
tcf(c_72908,plain,
app(skaf46(cons(sk6,app(sk4,sk4)),sk4),skaf45(cons(sk6,app(sk4,sk4)),skaf46(cons(sk6,app(sk4,sk4)),sk4))) = cons(sk6,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_72899,c_68222,c_297]) ).
tcf(c_72914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf80(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf80(X1)))
| ~ ssList(tl(skaf80(X1)))
| ~ leq(X2,hd(skaf80(X1)))
| ~ leq(hd(skaf80(X1)),X2)
| ~ ssList(app(app(X0,skaf80(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf80(X1)),tl(skaf80(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10772,c_432]) ).
tcf(c_72915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf80(X1)))
| leq(hd(skaf80(X1)),X2)
| ( skaf80(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf80(X1)))
| ~ ssList(tl(skaf80(X1)))
| ~ ssList(app(app(X0,skaf80(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf80(X1)),tl(skaf80(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10772,c_431]) ).
tcf(c_72916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf80(X1)))
| lt(hd(skaf80(X1)),X2)
| ( skaf80(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf80(X1)))
| ~ ssList(tl(skaf80(X1)))
| ~ ssList(app(app(X0,skaf80(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf80(X1)),tl(skaf80(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10772,c_430]) ).
tcf(c_72917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf80(X1)),X2)
| ( skaf80(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf80(X1)))
| ~ ssList(tl(skaf80(X1)))
| ~ ssList(app(app(X0,skaf80(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf80(X1)),tl(skaf80(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10772,c_429]) ).
tcf(c_72918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf80(X1)),X2)
| ( skaf80(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf80(X1)))
| ~ ssList(tl(skaf80(X1)))
| ~ ssList(app(app(X0,skaf80(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf80(X1)),tl(skaf80(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10772,c_428]) ).
tcf(c_72919,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf80(X1)))
| ~ ssList(tl(skaf80(X1)))
| ~ ssList(app(app(X0,skaf80(X1)),cons(hd(skaf80(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf80(X1)),tl(skaf80(X1)))),cons(hd(skaf80(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10772,c_426]) ).
tcf(c_72920,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf80(X1)),hd(skaf80(X1)))
| ( skaf80(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf80(X1)))
| ~ ssList(tl(skaf80(X1)))
| ~ ssList(app(X0,cons(hd(skaf80(X1)),tl(skaf80(X1))))) ),
inference(superposition,[status(thm)],[c_10772,c_422]) ).
tcf(c_72921,plain,
! [X0: $i] :
( memberP(skaf80(X0),hd(skaf80(X0)))
| ( skaf80(X0) = nil )
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10772,c_385]) ).
tcf(c_72923,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( tl(skaf80(X0)) = nil )
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0)))
| ( skaf80(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10772,c_21847]) ).
tcf(c_72924,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( tl(skaf80(X0)) = nil )
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0)))
| ( skaf80(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10772,c_21842]) ).
tcf(c_72925,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( hd(skaf80(X0)) = sk5 )
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0)))
| ( skaf80(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10772,c_21750]) ).
tcf(c_72926,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( hd(skaf80(X0)) = sk6 )
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0)))
| ( skaf80(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10772,c_21745]) ).
tcf(c_72927,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( hd(skaf80(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf80(X0))
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10772,c_21595]) ).
tcf(c_72928,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( hd(skaf80(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf80(X0))
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10772,c_21590]) ).
tcf(c_72929,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( hd(skaf80(X0)) = sk5 )
| ~ frontsegP(skaf80(X0),iPr_def_12)
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10772,c_21585]) ).
tcf(c_72930,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( hd(skaf80(X0)) = sk6 )
| ~ frontsegP(skaf80(X0),iPr_def_14)
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10772,c_21580]) ).
tcf(c_72931,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf80(X0)))
| ( skaf80(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf80(X0))
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10772,c_21202]) ).
tcf(c_72932,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf80(X0)))
| ( skaf80(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf80(X0))
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10772,c_21197]) ).
tcf(c_72935,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X0) = nil )
| ( hd(skaf80(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0)))
| ~ frontsegP(skaf80(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10772,c_423]) ).
tcf(c_72936,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf80(X0)),X2)
| ( skaf80(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0)))
| ~ frontsegP(skaf80(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10772,c_421]) ).
tcf(c_72937,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf80(X0)),X1)
| ( skaf80(X0) = nil )
| ( hd(skaf80(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0)))
| ~ memberP(skaf80(X0),X1) ),
inference(superposition,[status(thm)],[c_10772,c_408]) ).
tcf(c_72938,plain,
! [X0: $i] :
( leq(hd(skaf80(X0)),hd(tl(skaf80(X0))))
| ( skaf80(X0) = nil )
| ( tl(skaf80(X0)) = nil )
| ~ totalorderedP(skaf80(X0))
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10772,c_382]) ).
tcf(c_72939,plain,
! [X0: $i] :
( lt(hd(skaf80(X0)),hd(tl(skaf80(X0))))
| ( skaf80(X0) = nil )
| ( tl(skaf80(X0)) = nil )
| ~ strictorderedP(skaf80(X0))
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10772,c_381]) ).
tcf(c_72940,plain,
! [X0: $i] :
( totalorderedP(tl(skaf80(X0)))
| ( skaf80(X0) = nil )
| ( tl(skaf80(X0)) = nil )
| ~ totalorderedP(skaf80(X0))
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10772,c_372]) ).
tcf(c_72941,plain,
! [X0: $i] :
( strictorderedP(tl(skaf80(X0)))
| ( skaf80(X0) = nil )
| ( tl(skaf80(X0)) = nil )
| ~ strictorderedP(skaf80(X0))
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10772,c_371]) ).
tcf(c_72942,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0)))
| ( tl(skaf80(X0)) != skaf80(X0) ) ),
inference(superposition,[status(thm)],[c_10772,c_346]) ).
tcf(c_72944,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf80(X1)),X0),skaf80(X1))
| ( skaf80(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf80(X1)))
| ~ ssList(tl(skaf80(X1)))
| ~ frontsegP(X0,tl(skaf80(X1))) ),
inference(superposition,[status(thm)],[c_10772,c_425]) ).
tcf(c_72945,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X2) = nil )
| ( hd(skaf80(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf80(X2)))
| ~ ssList(tl(skaf80(X2)))
| ~ ssList(app(X0,cons(X1,skaf80(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf80(X2)),tl(skaf80(X2)))))) ),
inference(superposition,[status(thm)],[c_10772,c_427]) ).
tcf(c_72946,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X2) = nil )
| ( tl(skaf80(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf80(X2)))
| ~ ssList(tl(skaf80(X2)))
| ( cons(X0,X1) != skaf80(X2) ) ),
inference(superposition,[status(thm)],[c_10772,c_418]) ).
tcf(c_72947,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X2) = nil )
| ( hd(skaf80(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf80(X2)))
| ~ ssList(tl(skaf80(X2)))
| ( cons(X0,X1) != skaf80(X2) ) ),
inference(superposition,[status(thm)],[c_10772,c_417]) ).
tcf(c_72948,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X2) = nil )
| ( hd(skaf80(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf80(X2)))
| ~ ssList(tl(skaf80(X2)))
| ~ frontsegP(cons(X0,X1),skaf80(X2)) ),
inference(superposition,[status(thm)],[c_10772,c_423]) ).
tcf(c_72949,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf80(X2)))
| ( skaf80(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf80(X2)))
| ~ ssList(tl(skaf80(X2)))
| ~ frontsegP(cons(X0,X1),skaf80(X2)) ),
inference(superposition,[status(thm)],[c_10772,c_421]) ).
tcf(c_72950,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf80(X0),cons(hd(skaf80(X0)),X1))
| ( skaf80(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0)))
| ~ frontsegP(tl(skaf80(X0)),X1) ),
inference(superposition,[status(thm)],[c_10772,c_425]) ).
tcf(c_72951,plain,
! [X0: $i,X1: $i] :
( memberP(skaf80(X0),X1)
| ( skaf80(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf80(X0)))
| ~ ssList(tl(skaf80(X0)))
| ~ memberP(tl(skaf80(X0)),X1) ),
inference(superposition,[status(thm)],[c_10772,c_386]) ).
tcf(c_72952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf80(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf80(X3)))
| ~ ssList(tl(skaf80(X3)))
| ~ leq(X1,hd(skaf80(X3)))
| ~ leq(hd(skaf80(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf80(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf80(X3)),tl(skaf80(X3))))) ),
inference(superposition,[status(thm)],[c_10772,c_432]) ).
tcf(c_72953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf80(X3)))
| leq(hd(skaf80(X3)),X1)
| ( skaf80(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf80(X3)))
| ~ ssList(tl(skaf80(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf80(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf80(X3)),tl(skaf80(X3))))) ),
inference(superposition,[status(thm)],[c_10772,c_431]) ).
tcf(c_72954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf80(X3)))
| lt(hd(skaf80(X3)),X1)
| ( skaf80(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf80(X3)))
| ~ ssList(tl(skaf80(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf80(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf80(X3)),tl(skaf80(X3))))) ),
inference(superposition,[status(thm)],[c_10772,c_430]) ).
tcf(c_72955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf80(X3)))
| ( skaf80(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf80(X3)))
| ~ ssList(tl(skaf80(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf80(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf80(X3)),tl(skaf80(X3))))) ),
inference(superposition,[status(thm)],[c_10772,c_429]) ).
tcf(c_72956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf80(X3)))
| ( skaf80(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf80(X3)))
| ~ ssList(tl(skaf80(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf80(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf80(X3)),tl(skaf80(X3))))) ),
inference(superposition,[status(thm)],[c_10772,c_428]) ).
tcf(c_72957,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf80(X1)))
| ~ ssList(tl(skaf80(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf80(X1)),X2)),skaf80(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf80(X1)),X2)),cons(hd(skaf80(X1)),tl(skaf80(X1))))) ),
inference(superposition,[status(thm)],[c_10772,c_426]) ).
tcf(c_73452,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf71(X0)) = nil )
| ( cons(skac2,skaf71(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf71(X0)))
| ( skaf71(X0) != tl(X1) )
| ( hd(cons(skac2,skaf71(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70008,c_424]) ).
tcf(c_73462,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf68(X0)) = nil )
| ( cons(skac2,skaf68(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf68(X0)))
| ( skaf68(X0) != tl(X1) )
| ( hd(cons(skac2,skaf68(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70009,c_424]) ).
tcf(c_73519,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf67(X0)) = nil )
| ( cons(skac2,skaf67(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf67(X0)))
| ( skaf67(X0) != tl(X1) )
| ( hd(cons(skac2,skaf67(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70010,c_424]) ).
tcf(c_73529,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf66(X0)) = nil )
| ( cons(skac2,skaf66(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf66(X0)))
| ( skaf66(X0) != tl(X1) )
| ( hd(cons(skac2,skaf66(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70011,c_424]) ).
tcf(c_73539,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,cons(sk6,sk7))))
| ( cons(sk6,cons(sk6,sk7)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,cons(sk6,sk7)))
| ~ ssList(cons(sk6,cons(sk6,sk7))) ),
inference(superposition,[status(thm)],[c_29085,c_407]) ).
tcf(c_73540,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,cons(sk6,sk7))))
| ( cons(sk6,cons(sk6,sk7)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,cons(sk6,sk7)))
| ~ ssList(cons(sk6,cons(sk6,sk7))) ),
inference(superposition,[status(thm)],[c_29085,c_406]) ).
tcf(c_73556,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,cons(sk6,sk7))))
| ( cons(sk5,cons(sk6,sk7)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,cons(sk6,sk7)))
| ~ ssList(cons(sk5,cons(sk6,sk7))) ),
inference(superposition,[status(thm)],[c_29088,c_407]) ).
tcf(c_73557,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,cons(sk6,sk7))))
| ( cons(sk5,cons(sk6,sk7)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,cons(sk6,sk7)))
| ~ ssList(cons(sk5,cons(sk6,sk7))) ),
inference(superposition,[status(thm)],[c_29088,c_406]) ).
tcf(c_73573,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,cons(sk6,sk4))))
| ( cons(sk6,cons(sk6,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,cons(sk6,sk4)))
| ~ ssList(cons(sk6,cons(sk6,sk4))) ),
inference(superposition,[status(thm)],[c_29698,c_407]) ).
tcf(c_73574,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,cons(sk6,sk4))))
| ( cons(sk6,cons(sk6,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,cons(sk6,sk4)))
| ~ ssList(cons(sk6,cons(sk6,sk4))) ),
inference(superposition,[status(thm)],[c_29698,c_406]) ).
tcf(c_73590,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,cons(sk6,sk4))))
| ( cons(sk5,cons(sk6,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,cons(sk6,sk4)))
| ~ ssList(cons(sk5,cons(sk6,sk4))) ),
inference(superposition,[status(thm)],[c_29701,c_407]) ).
tcf(c_73591,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,cons(sk6,sk4))))
| ( cons(sk5,cons(sk6,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,cons(sk6,sk4)))
| ~ ssList(cons(sk5,cons(sk6,sk4))) ),
inference(superposition,[status(thm)],[c_29701,c_406]) ).
tcf(c_73613,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk7),X1)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(X0,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68556,c_401]) ).
tcf(c_73614,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,app(sk7,sk4)),X0)) = cons(sk6,app(sk7,sk4)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk7),X0)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68556,c_379]) ).
tcf(c_73615,plain,
! [X0: $i] :
( ( cons(sk6,app(sk7,sk4)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk7),X0)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(X0,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68556,c_376]) ).
tcf(c_73616,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk7),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_68556,c_423]) ).
tcf(c_73617,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sk7,sk4),X1)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk7),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_68556,c_421]) ).
tcf(c_73618,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(cons(sk6,sk7),iPr_def_13)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68556,c_15594]) ).
tcf(c_73619,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(cons(sk6,sk7),iPr_def_15)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68556,c_28779]) ).
tcf(c_73620,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(cons(sk6,sk7),iPr_def_16)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68556,c_26336]) ).
tcf(c_73621,plain,
( ( sk5 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(iPr_def_12)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(cons(sk6,sk7),iPr_def_12) ),
inference(superposition,[status(thm)],[c_68556,c_21585]) ).
tcf(c_73623,plain,
( ~ ssList(app(sk7,sk4))
| ~ frontsegP(cons(sk6,sk7),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73621,c_6481,c_6484,c_9489]) ).
tcf(c_73626,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk7),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73620,c_9020,c_68529]) ).
tcf(c_73629,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk7),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73619,c_24748,c_68529]) ).
tcf(c_73632,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk7),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73618,c_9527,c_68529]) ).
tcf(c_73635,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk7),X1)
| ~ frontsegP(X0,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73613,c_68529]) ).
tcf(c_73641,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk7),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73616,c_6484]) ).
tcf(c_73648,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sk7,sk4),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk7),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73617,c_6484]) ).
tcf(c_73655,plain,
! [X0: $i] :
( ( cons(sk6,app(sk7,sk4)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk7),X0)
| ~ frontsegP(X0,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73615,c_68529]) ).
tcf(c_73660,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,app(sk7,sk4)),X0)) = cons(sk6,app(sk7,sk4)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73614,c_68529]) ).
tcf(c_73679,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk7,sk4)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk7,sk4))))) = cons(sk6,app(sk7,sk4)) )
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk7),X0)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68560,c_416]) ).
tcf(c_73680,plain,
! [X0: $i] :
( memberP(app(sk7,sk4),X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk4))
| ~ memberP(cons(sk6,sk7),X0) ),
inference(superposition,[status(thm)],[c_68560,c_408]) ).
tcf(c_73681,plain,
! [X0: $i] :
( memberP(app(sk7,sk4),X0)
| ( X0 = sk6 )
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk4))
| ~ memberP(cons(sk6,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73680,c_6484]) ).
tcf(c_73687,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk7,sk4)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk7,sk4))))) = cons(sk6,app(sk7,sk4)) )
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73679,c_68529]) ).
tcf(c_73693,plain,
~ rearsegP(sk4,cons(sk6,app(sk7,sk4))),
inference(global_subsumption_just,[status(thm)],[c_68800,c_68540,c_68800]) ).
tcf(c_73697,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk7,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk4)),sk4))
| ~ ssList(app(app(skaf46(cons(sk6,app(sk7,sk4)),sk4),sk4),X0)) ),
inference(superposition,[status(thm)],[c_68803,c_420]) ).
tcf(c_73698,plain,
! [X0: $i] :
( ( skaf46(cons(sk6,app(sk7,sk4)),sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk4)),sk4))
| ( cons(sk6,app(sk7,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_68803,c_398]) ).
tcf(c_73700,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(cons(sk6,app(sk7,sk4)),sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk7,sk4)),X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_68803,c_405]) ).
tcf(c_73703,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),skaf46(cons(sk6,app(sk7,sk4)),sk4))
| ~ ssList(sk4)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_68803,c_808]) ).
tcf(c_73705,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_68803,c_388]) ).
tcf(c_73706,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_68803,c_383]) ).
tcf(c_73707,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk4)),sk4))
| ( app(skaf46(cons(sk6,app(sk7,sk4)),sk4),X0) != cons(sk6,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_68803,c_397]) ).
tcf(c_73708,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk4)),sk4))
| ~ memberP(skaf46(cons(sk6,app(sk7,sk4)),sk4),X0) ),
inference(superposition,[status(thm)],[c_68803,c_387]) ).
tcf(c_73709,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk4)),sk4))
| ~ frontsegP(skaf46(cons(sk6,app(sk7,sk4)),sk4),X0) ),
inference(superposition,[status(thm)],[c_68803,c_384]) ).
tcf(c_73710,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk7,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_68803,c_419]) ).
tcf(c_73711,plain,
( ( skaf46(cons(sk6,app(sk7,sk4)),sk4) = iPr_def_12 )
| ~ ssList(skaf46(cons(sk6,app(sk7,sk4)),sk4))
| ( cons(sk6,app(sk7,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_68803,c_66433]) ).
tcf(c_73712,plain,
( ( skaf46(cons(sk6,app(sk7,sk4)),sk4) = iPr_def_14 )
| ~ ssList(skaf46(cons(sk6,app(sk7,sk4)),sk4))
| ( cons(sk6,app(sk7,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_68803,c_51225]) ).
tcf(c_73714,plain,
frontsegP(cons(sk6,app(sk7,sk4)),skaf46(cons(sk6,app(sk7,sk4)),sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_73703,c_6486,c_297]) ).
tcf(c_73717,plain,
( ( skaf46(cons(sk6,app(sk7,sk4)),sk4) = iPr_def_14 )
| ( cons(sk6,app(sk7,sk4)) != cons(sk6,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73712,c_297]) ).
tcf(c_73720,plain,
( ( skaf46(cons(sk6,app(sk7,sk4)),sk4) = iPr_def_12 )
| ( cons(sk6,app(sk7,sk4)) != cons(sk5,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73711,c_297]) ).
tcf(c_73724,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk7,sk4)),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(cons(sk6,app(sk7,sk4)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73709,c_6486,c_297]) ).
tcf(c_73728,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk7,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(cons(sk6,app(sk7,sk4)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73708,c_6486,c_297]) ).
tcf(c_73732,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(cons(sk6,app(sk7,sk4)),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk7,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73700,c_6486,c_297]) ).
tcf(c_73737,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(skaf46(cons(sk6,app(sk7,sk4)),sk4),X0) != cons(sk6,app(sk7,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73707,c_6486,c_297]) ).
tcf(c_73741,plain,
! [X0: $i] :
( ( skaf46(cons(sk6,app(sk7,sk4)),sk4) = X0 )
| ~ ssList(X0)
| ( cons(sk6,app(sk7,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73698,c_6486,c_297]) ).
tcf(c_73745,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk7,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk4)),sk4))
| ~ ssList(app(cons(sk6,app(sk7,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_73697,c_68803]) ).
tcf(c_73827,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,app(sk7,sk4)),sk4))
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(X0,cons(sk6,app(sk7,sk4)))
| ~ ssList(skaf46(cons(sk6,app(sk7,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_73714,c_401]) ).
tcf(c_73828,plain,
( ( app(skaf46(cons(sk6,app(sk7,sk4)),sk4),skaf45(cons(sk6,app(sk7,sk4)),skaf46(cons(sk6,app(sk7,sk4)),sk4))) = cons(sk6,app(sk7,sk4)) )
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(skaf46(cons(sk6,app(sk7,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_73714,c_379]) ).
tcf(c_73829,plain,
( ( skaf46(cons(sk6,app(sk7,sk4)),sk4) = cons(sk6,app(sk7,sk4)) )
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(skaf46(cons(sk6,app(sk7,sk4)),sk4))
| ~ frontsegP(skaf46(cons(sk6,app(sk7,sk4)),sk4),cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_73714,c_376]) ).
tcf(c_73830,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,app(sk7,sk4)),sk4))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73827,c_68529,c_297]) ).
tcf(c_73834,plain,
( ( skaf46(cons(sk6,app(sk7,sk4)),sk4) = cons(sk6,app(sk7,sk4)) )
| ~ frontsegP(skaf46(cons(sk6,app(sk7,sk4)),sk4),cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73829,c_68529,c_297]) ).
tcf(c_73837,plain,
app(skaf46(cons(sk6,app(sk7,sk4)),sk4),skaf45(cons(sk6,app(sk7,sk4)),skaf46(cons(sk6,app(sk7,sk4)),sk4))) = cons(sk6,app(sk7,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_73828,c_68529,c_297]) ).
tcf(c_73845,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk8),X1)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(X0,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68986,c_401]) ).
tcf(c_73846,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,app(sk8,sk4)),X0)) = cons(sk6,app(sk8,sk4)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk8),X0)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68986,c_379]) ).
tcf(c_73847,plain,
! [X0: $i] :
( ( cons(sk6,app(sk8,sk4)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk8),X0)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(X0,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68986,c_376]) ).
tcf(c_73848,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk8),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_68986,c_423]) ).
tcf(c_73849,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sk8,sk4),X1)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk8),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_68986,c_421]) ).
tcf(c_73850,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(cons(sk6,sk8),iPr_def_13)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68986,c_15594]) ).
tcf(c_73851,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(cons(sk6,sk8),iPr_def_15)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68986,c_28779]) ).
tcf(c_73852,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(cons(sk6,sk8),iPr_def_16)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68986,c_26336]) ).
tcf(c_73853,plain,
( ( sk5 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(iPr_def_12)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(cons(sk6,sk8),iPr_def_12) ),
inference(superposition,[status(thm)],[c_68986,c_21585]) ).
tcf(c_73855,plain,
( ~ ssList(app(sk8,sk4))
| ~ frontsegP(cons(sk6,sk8),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73853,c_6481,c_6484,c_9489]) ).
tcf(c_73858,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk8),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73852,c_9020,c_68959]) ).
tcf(c_73861,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk8),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73851,c_24748,c_68959]) ).
tcf(c_73864,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk8),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73850,c_9527,c_68959]) ).
tcf(c_73867,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk8),X1)
| ~ frontsegP(X0,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73845,c_68959]) ).
tcf(c_73873,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk8),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73848,c_6484]) ).
tcf(c_73880,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sk8,sk4),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk8),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73849,c_6484]) ).
tcf(c_73887,plain,
! [X0: $i] :
( ( cons(sk6,app(sk8,sk4)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk8),X0)
| ~ frontsegP(X0,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73847,c_68959]) ).
tcf(c_73892,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,app(sk8,sk4)),X0)) = cons(sk6,app(sk8,sk4)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73846,c_68959]) ).
tcf(c_73959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf77(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf77(X1)))
| ~ ssList(tl(skaf77(X1)))
| ~ leq(X2,hd(skaf77(X1)))
| ~ leq(hd(skaf77(X1)),X2)
| ~ ssList(app(app(X0,skaf77(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf77(X1)),tl(skaf77(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10773,c_432]) ).
tcf(c_73960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf77(X1)))
| leq(hd(skaf77(X1)),X2)
| ( skaf77(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf77(X1)))
| ~ ssList(tl(skaf77(X1)))
| ~ ssList(app(app(X0,skaf77(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf77(X1)),tl(skaf77(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10773,c_431]) ).
tcf(c_73961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf77(X1)))
| lt(hd(skaf77(X1)),X2)
| ( skaf77(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf77(X1)))
| ~ ssList(tl(skaf77(X1)))
| ~ ssList(app(app(X0,skaf77(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf77(X1)),tl(skaf77(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10773,c_430]) ).
tcf(c_73962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf77(X1)),X2)
| ( skaf77(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf77(X1)))
| ~ ssList(tl(skaf77(X1)))
| ~ ssList(app(app(X0,skaf77(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf77(X1)),tl(skaf77(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10773,c_429]) ).
tcf(c_73963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf77(X1)),X2)
| ( skaf77(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf77(X1)))
| ~ ssList(tl(skaf77(X1)))
| ~ ssList(app(app(X0,skaf77(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf77(X1)),tl(skaf77(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10773,c_428]) ).
tcf(c_73964,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf77(X1)))
| ~ ssList(tl(skaf77(X1)))
| ~ ssList(app(app(X0,skaf77(X1)),cons(hd(skaf77(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf77(X1)),tl(skaf77(X1)))),cons(hd(skaf77(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10773,c_426]) ).
tcf(c_73965,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf77(X1)),hd(skaf77(X1)))
| ( skaf77(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf77(X1)))
| ~ ssList(tl(skaf77(X1)))
| ~ ssList(app(X0,cons(hd(skaf77(X1)),tl(skaf77(X1))))) ),
inference(superposition,[status(thm)],[c_10773,c_422]) ).
tcf(c_73966,plain,
! [X0: $i] :
( memberP(skaf77(X0),hd(skaf77(X0)))
| ( skaf77(X0) = nil )
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10773,c_385]) ).
tcf(c_73968,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( tl(skaf77(X0)) = nil )
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0)))
| ( skaf77(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10773,c_21847]) ).
tcf(c_73969,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( tl(skaf77(X0)) = nil )
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0)))
| ( skaf77(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10773,c_21842]) ).
tcf(c_73970,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( hd(skaf77(X0)) = sk5 )
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0)))
| ( skaf77(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10773,c_21750]) ).
tcf(c_73971,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( hd(skaf77(X0)) = sk6 )
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0)))
| ( skaf77(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10773,c_21745]) ).
tcf(c_73972,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( hd(skaf77(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf77(X0))
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10773,c_21595]) ).
tcf(c_73973,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( hd(skaf77(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf77(X0))
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10773,c_21590]) ).
tcf(c_73974,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( hd(skaf77(X0)) = sk5 )
| ~ frontsegP(skaf77(X0),iPr_def_12)
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10773,c_21585]) ).
tcf(c_73975,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( hd(skaf77(X0)) = sk6 )
| ~ frontsegP(skaf77(X0),iPr_def_14)
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10773,c_21580]) ).
tcf(c_73976,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf77(X0)))
| ( skaf77(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf77(X0))
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10773,c_21202]) ).
tcf(c_73977,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf77(X0)))
| ( skaf77(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf77(X0))
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10773,c_21197]) ).
tcf(c_73980,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X0) = nil )
| ( hd(skaf77(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0)))
| ~ frontsegP(skaf77(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10773,c_423]) ).
tcf(c_73981,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf77(X0)),X2)
| ( skaf77(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0)))
| ~ frontsegP(skaf77(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10773,c_421]) ).
tcf(c_73982,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf77(X0)),X1)
| ( skaf77(X0) = nil )
| ( hd(skaf77(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0)))
| ~ memberP(skaf77(X0),X1) ),
inference(superposition,[status(thm)],[c_10773,c_408]) ).
tcf(c_73983,plain,
! [X0: $i] :
( leq(hd(skaf77(X0)),hd(tl(skaf77(X0))))
| ( skaf77(X0) = nil )
| ( tl(skaf77(X0)) = nil )
| ~ totalorderedP(skaf77(X0))
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10773,c_382]) ).
tcf(c_73984,plain,
! [X0: $i] :
( lt(hd(skaf77(X0)),hd(tl(skaf77(X0))))
| ( skaf77(X0) = nil )
| ( tl(skaf77(X0)) = nil )
| ~ strictorderedP(skaf77(X0))
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10773,c_381]) ).
tcf(c_73985,plain,
! [X0: $i] :
( totalorderedP(tl(skaf77(X0)))
| ( skaf77(X0) = nil )
| ( tl(skaf77(X0)) = nil )
| ~ totalorderedP(skaf77(X0))
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10773,c_372]) ).
tcf(c_73986,plain,
! [X0: $i] :
( strictorderedP(tl(skaf77(X0)))
| ( skaf77(X0) = nil )
| ( tl(skaf77(X0)) = nil )
| ~ strictorderedP(skaf77(X0))
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10773,c_371]) ).
tcf(c_73987,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0)))
| ( tl(skaf77(X0)) != skaf77(X0) ) ),
inference(superposition,[status(thm)],[c_10773,c_346]) ).
tcf(c_73989,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf77(X1)),X0),skaf77(X1))
| ( skaf77(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf77(X1)))
| ~ ssList(tl(skaf77(X1)))
| ~ frontsegP(X0,tl(skaf77(X1))) ),
inference(superposition,[status(thm)],[c_10773,c_425]) ).
tcf(c_73990,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X2) = nil )
| ( hd(skaf77(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf77(X2)))
| ~ ssList(tl(skaf77(X2)))
| ~ ssList(app(X0,cons(X1,skaf77(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf77(X2)),tl(skaf77(X2)))))) ),
inference(superposition,[status(thm)],[c_10773,c_427]) ).
tcf(c_73991,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X2) = nil )
| ( tl(skaf77(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf77(X2)))
| ~ ssList(tl(skaf77(X2)))
| ( cons(X0,X1) != skaf77(X2) ) ),
inference(superposition,[status(thm)],[c_10773,c_418]) ).
tcf(c_73992,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X2) = nil )
| ( hd(skaf77(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf77(X2)))
| ~ ssList(tl(skaf77(X2)))
| ( cons(X0,X1) != skaf77(X2) ) ),
inference(superposition,[status(thm)],[c_10773,c_417]) ).
tcf(c_73993,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X2) = nil )
| ( hd(skaf77(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf77(X2)))
| ~ ssList(tl(skaf77(X2)))
| ~ frontsegP(cons(X0,X1),skaf77(X2)) ),
inference(superposition,[status(thm)],[c_10773,c_423]) ).
tcf(c_73994,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf77(X2)))
| ( skaf77(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf77(X2)))
| ~ ssList(tl(skaf77(X2)))
| ~ frontsegP(cons(X0,X1),skaf77(X2)) ),
inference(superposition,[status(thm)],[c_10773,c_421]) ).
tcf(c_73995,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf77(X0),cons(hd(skaf77(X0)),X1))
| ( skaf77(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0)))
| ~ frontsegP(tl(skaf77(X0)),X1) ),
inference(superposition,[status(thm)],[c_10773,c_425]) ).
tcf(c_73996,plain,
! [X0: $i,X1: $i] :
( memberP(skaf77(X0),X1)
| ( skaf77(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf77(X0)))
| ~ ssList(tl(skaf77(X0)))
| ~ memberP(tl(skaf77(X0)),X1) ),
inference(superposition,[status(thm)],[c_10773,c_386]) ).
tcf(c_73997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf77(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf77(X3)))
| ~ ssList(tl(skaf77(X3)))
| ~ leq(X1,hd(skaf77(X3)))
| ~ leq(hd(skaf77(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf77(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf77(X3)),tl(skaf77(X3))))) ),
inference(superposition,[status(thm)],[c_10773,c_432]) ).
tcf(c_73998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf77(X3)))
| leq(hd(skaf77(X3)),X1)
| ( skaf77(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf77(X3)))
| ~ ssList(tl(skaf77(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf77(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf77(X3)),tl(skaf77(X3))))) ),
inference(superposition,[status(thm)],[c_10773,c_431]) ).
tcf(c_73999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf77(X3)))
| lt(hd(skaf77(X3)),X1)
| ( skaf77(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf77(X3)))
| ~ ssList(tl(skaf77(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf77(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf77(X3)),tl(skaf77(X3))))) ),
inference(superposition,[status(thm)],[c_10773,c_430]) ).
tcf(c_74000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf77(X3)))
| ( skaf77(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf77(X3)))
| ~ ssList(tl(skaf77(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf77(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf77(X3)),tl(skaf77(X3))))) ),
inference(superposition,[status(thm)],[c_10773,c_429]) ).
tcf(c_74001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf77(X3)))
| ( skaf77(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf77(X3)))
| ~ ssList(tl(skaf77(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf77(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf77(X3)),tl(skaf77(X3))))) ),
inference(superposition,[status(thm)],[c_10773,c_428]) ).
tcf(c_74002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf77(X1)))
| ~ ssList(tl(skaf77(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf77(X1)),X2)),skaf77(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf77(X1)),X2)),cons(hd(skaf77(X1)),tl(skaf77(X1))))) ),
inference(superposition,[status(thm)],[c_10773,c_426]) ).
tcf(c_74378,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf63(X0)) = nil )
| ( cons(skac2,skaf63(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf63(X0)))
| ( skaf63(X0) != tl(X1) )
| ( hd(cons(skac2,skaf63(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70012,c_424]) ).
tcf(c_74392,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf62(X0)) = nil )
| ( cons(skac2,skaf62(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf62(X0)))
| ( skaf62(X0) != tl(X1) )
| ( hd(cons(skac2,skaf62(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70013,c_424]) ).
tcf(c_74402,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf61(X0)) = nil )
| ( cons(skac2,skaf61(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf61(X0)))
| ( skaf61(X0) != tl(X1) )
| ( hd(cons(skac2,skaf61(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70014,c_424]) ).
tcf(c_74416,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf58(X0)) = nil )
| ( cons(skac2,skaf58(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf58(X0)))
| ( skaf58(X0) != tl(X1) )
| ( hd(cons(skac2,skaf58(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70015,c_424]) ).
tcf(c_74448,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk8,sk4)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk8,sk4))))) = cons(sk6,app(sk8,sk4)) )
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk8),X0)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68990,c_416]) ).
tcf(c_74449,plain,
! [X0: $i] :
( memberP(app(sk8,sk4),X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk4))
| ~ memberP(cons(sk6,sk8),X0) ),
inference(superposition,[status(thm)],[c_68990,c_408]) ).
tcf(c_74450,plain,
! [X0: $i] :
( memberP(app(sk8,sk4),X0)
| ( X0 = sk6 )
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk4))
| ~ memberP(cons(sk6,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74449,c_6484]) ).
tcf(c_74456,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk8,sk4)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk8,sk4))))) = cons(sk6,app(sk8,sk4)) )
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74448,c_68959]) ).
tcf(c_74466,plain,
~ rearsegP(sk4,cons(sk6,app(sk8,sk4))),
inference(global_subsumption_just,[status(thm)],[c_69624,c_68970,c_69624]) ).
tcf(c_74470,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk8,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk4)),sk4))
| ~ ssList(app(app(skaf46(cons(sk6,app(sk8,sk4)),sk4),sk4),X0)) ),
inference(superposition,[status(thm)],[c_69627,c_420]) ).
tcf(c_74471,plain,
! [X0: $i] :
( ( skaf46(cons(sk6,app(sk8,sk4)),sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk4)),sk4))
| ( cons(sk6,app(sk8,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_69627,c_398]) ).
tcf(c_74473,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(cons(sk6,app(sk8,sk4)),sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk8,sk4)),X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_69627,c_405]) ).
tcf(c_74476,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),skaf46(cons(sk6,app(sk8,sk4)),sk4))
| ~ ssList(sk4)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_69627,c_808]) ).
tcf(c_74478,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_69627,c_388]) ).
tcf(c_74479,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_69627,c_383]) ).
tcf(c_74480,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk4)),sk4))
| ( app(skaf46(cons(sk6,app(sk8,sk4)),sk4),X0) != cons(sk6,app(sk8,sk4)) ) ),
inference(superposition,[status(thm)],[c_69627,c_397]) ).
tcf(c_74481,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk4)),sk4))
| ~ memberP(skaf46(cons(sk6,app(sk8,sk4)),sk4),X0) ),
inference(superposition,[status(thm)],[c_69627,c_387]) ).
tcf(c_74482,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk8,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk4)),sk4))
| ~ frontsegP(skaf46(cons(sk6,app(sk8,sk4)),sk4),X0) ),
inference(superposition,[status(thm)],[c_69627,c_384]) ).
tcf(c_74483,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk8,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_69627,c_419]) ).
tcf(c_74484,plain,
( ( skaf46(cons(sk6,app(sk8,sk4)),sk4) = iPr_def_12 )
| ~ ssList(skaf46(cons(sk6,app(sk8,sk4)),sk4))
| ( cons(sk6,app(sk8,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_69627,c_66433]) ).
tcf(c_74485,plain,
( ( skaf46(cons(sk6,app(sk8,sk4)),sk4) = iPr_def_14 )
| ~ ssList(skaf46(cons(sk6,app(sk8,sk4)),sk4))
| ( cons(sk6,app(sk8,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_69627,c_51225]) ).
tcf(c_74487,plain,
frontsegP(cons(sk6,app(sk8,sk4)),skaf46(cons(sk6,app(sk8,sk4)),sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_74476,c_6486,c_297]) ).
tcf(c_74490,plain,
( ( skaf46(cons(sk6,app(sk8,sk4)),sk4) = iPr_def_14 )
| ( cons(sk6,app(sk8,sk4)) != cons(sk6,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74485,c_297]) ).
tcf(c_74493,plain,
( ( skaf46(cons(sk6,app(sk8,sk4)),sk4) = iPr_def_12 )
| ( cons(sk6,app(sk8,sk4)) != cons(sk5,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74484,c_297]) ).
tcf(c_74497,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk8,sk4)),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(cons(sk6,app(sk8,sk4)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74482,c_6486,c_297]) ).
tcf(c_74501,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk8,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(cons(sk6,app(sk8,sk4)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74481,c_6486,c_297]) ).
tcf(c_74505,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(cons(sk6,app(sk8,sk4)),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk8,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74473,c_6486,c_297]) ).
tcf(c_74510,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(skaf46(cons(sk6,app(sk8,sk4)),sk4),X0) != cons(sk6,app(sk8,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74480,c_6486,c_297]) ).
tcf(c_74514,plain,
! [X0: $i] :
( ( skaf46(cons(sk6,app(sk8,sk4)),sk4) = X0 )
| ~ ssList(X0)
| ( cons(sk6,app(sk8,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74471,c_6486,c_297]) ).
tcf(c_74518,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk8,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk4)),sk4))
| ~ ssList(app(cons(sk6,app(sk8,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_74470,c_69627]) ).
tcf(c_74609,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,app(sk8,sk4)),sk4))
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(X0,cons(sk6,app(sk8,sk4)))
| ~ ssList(skaf46(cons(sk6,app(sk8,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_74487,c_401]) ).
tcf(c_74610,plain,
( ( app(skaf46(cons(sk6,app(sk8,sk4)),sk4),skaf45(cons(sk6,app(sk8,sk4)),skaf46(cons(sk6,app(sk8,sk4)),sk4))) = cons(sk6,app(sk8,sk4)) )
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(skaf46(cons(sk6,app(sk8,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_74487,c_379]) ).
tcf(c_74611,plain,
( ( skaf46(cons(sk6,app(sk8,sk4)),sk4) = cons(sk6,app(sk8,sk4)) )
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(skaf46(cons(sk6,app(sk8,sk4)),sk4))
| ~ frontsegP(skaf46(cons(sk6,app(sk8,sk4)),sk4),cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_74487,c_376]) ).
tcf(c_74612,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,app(sk8,sk4)),sk4))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74609,c_68959,c_297]) ).
tcf(c_74616,plain,
( ( skaf46(cons(sk6,app(sk8,sk4)),sk4) = cons(sk6,app(sk8,sk4)) )
| ~ frontsegP(skaf46(cons(sk6,app(sk8,sk4)),sk4),cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74611,c_68959,c_297]) ).
tcf(c_74619,plain,
app(skaf46(cons(sk6,app(sk8,sk4)),sk4),skaf45(cons(sk6,app(sk8,sk4)),skaf46(cons(sk6,app(sk8,sk4)),sk4))) = cons(sk6,app(sk8,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_74610,c_68959,c_297]) ).
tcf(c_74640,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_383,c_69708]) ).
tcf(c_74641,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,sk4)),sk8)
| ~ ssList(X0)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(X0,cons(sk6,sk4))) ),
inference(superposition,[status(thm)],[c_807,c_69708]) ).
tcf(c_74646,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,sk4)),sk8)
| ~ ssList(X0)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(app(X0,cons(sk6,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74641,c_28942]) ).
tcf(c_74651,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74640,c_28942]) ).
tcf(c_74670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf76(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf76(X1)))
| ~ ssList(tl(skaf76(X1)))
| ~ leq(X2,hd(skaf76(X1)))
| ~ leq(hd(skaf76(X1)),X2)
| ~ ssList(app(app(X0,skaf76(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf76(X1)),tl(skaf76(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10774,c_432]) ).
tcf(c_74671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf76(X1)))
| leq(hd(skaf76(X1)),X2)
| ( skaf76(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf76(X1)))
| ~ ssList(tl(skaf76(X1)))
| ~ ssList(app(app(X0,skaf76(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf76(X1)),tl(skaf76(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10774,c_431]) ).
tcf(c_74672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf76(X1)))
| lt(hd(skaf76(X1)),X2)
| ( skaf76(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf76(X1)))
| ~ ssList(tl(skaf76(X1)))
| ~ ssList(app(app(X0,skaf76(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf76(X1)),tl(skaf76(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10774,c_430]) ).
tcf(c_74673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf76(X1)),X2)
| ( skaf76(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf76(X1)))
| ~ ssList(tl(skaf76(X1)))
| ~ ssList(app(app(X0,skaf76(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf76(X1)),tl(skaf76(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10774,c_429]) ).
tcf(c_74674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf76(X1)),X2)
| ( skaf76(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf76(X1)))
| ~ ssList(tl(skaf76(X1)))
| ~ ssList(app(app(X0,skaf76(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf76(X1)),tl(skaf76(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10774,c_428]) ).
tcf(c_74675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf76(X1)))
| ~ ssList(tl(skaf76(X1)))
| ~ ssList(app(app(X0,skaf76(X1)),cons(hd(skaf76(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf76(X1)),tl(skaf76(X1)))),cons(hd(skaf76(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10774,c_426]) ).
tcf(c_74676,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf76(X1)),hd(skaf76(X1)))
| ( skaf76(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf76(X1)))
| ~ ssList(tl(skaf76(X1)))
| ~ ssList(app(X0,cons(hd(skaf76(X1)),tl(skaf76(X1))))) ),
inference(superposition,[status(thm)],[c_10774,c_422]) ).
tcf(c_74677,plain,
! [X0: $i] :
( memberP(skaf76(X0),hd(skaf76(X0)))
| ( skaf76(X0) = nil )
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10774,c_385]) ).
tcf(c_74679,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( tl(skaf76(X0)) = nil )
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0)))
| ( skaf76(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10774,c_21847]) ).
tcf(c_74680,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( tl(skaf76(X0)) = nil )
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0)))
| ( skaf76(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10774,c_21842]) ).
tcf(c_74681,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( hd(skaf76(X0)) = sk5 )
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0)))
| ( skaf76(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10774,c_21750]) ).
tcf(c_74682,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( hd(skaf76(X0)) = sk6 )
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0)))
| ( skaf76(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10774,c_21745]) ).
tcf(c_74683,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( hd(skaf76(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf76(X0))
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10774,c_21595]) ).
tcf(c_74684,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( hd(skaf76(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf76(X0))
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10774,c_21590]) ).
tcf(c_74685,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( hd(skaf76(X0)) = sk5 )
| ~ frontsegP(skaf76(X0),iPr_def_12)
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10774,c_21585]) ).
tcf(c_74686,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( hd(skaf76(X0)) = sk6 )
| ~ frontsegP(skaf76(X0),iPr_def_14)
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10774,c_21580]) ).
tcf(c_74687,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf76(X0)))
| ( skaf76(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf76(X0))
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10774,c_21202]) ).
tcf(c_74688,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf76(X0)))
| ( skaf76(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf76(X0))
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10774,c_21197]) ).
tcf(c_74691,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X0) = nil )
| ( hd(skaf76(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0)))
| ~ frontsegP(skaf76(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10774,c_423]) ).
tcf(c_74692,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf76(X0)),X2)
| ( skaf76(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0)))
| ~ frontsegP(skaf76(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10774,c_421]) ).
tcf(c_74693,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf76(X0)),X1)
| ( skaf76(X0) = nil )
| ( hd(skaf76(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0)))
| ~ memberP(skaf76(X0),X1) ),
inference(superposition,[status(thm)],[c_10774,c_408]) ).
tcf(c_74694,plain,
! [X0: $i] :
( leq(hd(skaf76(X0)),hd(tl(skaf76(X0))))
| ( skaf76(X0) = nil )
| ( tl(skaf76(X0)) = nil )
| ~ totalorderedP(skaf76(X0))
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10774,c_382]) ).
tcf(c_74695,plain,
! [X0: $i] :
( lt(hd(skaf76(X0)),hd(tl(skaf76(X0))))
| ( skaf76(X0) = nil )
| ( tl(skaf76(X0)) = nil )
| ~ strictorderedP(skaf76(X0))
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10774,c_381]) ).
tcf(c_74696,plain,
! [X0: $i] :
( totalorderedP(tl(skaf76(X0)))
| ( skaf76(X0) = nil )
| ( tl(skaf76(X0)) = nil )
| ~ totalorderedP(skaf76(X0))
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10774,c_372]) ).
tcf(c_74697,plain,
! [X0: $i] :
( strictorderedP(tl(skaf76(X0)))
| ( skaf76(X0) = nil )
| ( tl(skaf76(X0)) = nil )
| ~ strictorderedP(skaf76(X0))
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10774,c_371]) ).
tcf(c_74698,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0)))
| ( tl(skaf76(X0)) != skaf76(X0) ) ),
inference(superposition,[status(thm)],[c_10774,c_346]) ).
tcf(c_74700,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf76(X1)),X0),skaf76(X1))
| ( skaf76(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf76(X1)))
| ~ ssList(tl(skaf76(X1)))
| ~ frontsegP(X0,tl(skaf76(X1))) ),
inference(superposition,[status(thm)],[c_10774,c_425]) ).
tcf(c_74701,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X2) = nil )
| ( hd(skaf76(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf76(X2)))
| ~ ssList(tl(skaf76(X2)))
| ~ ssList(app(X0,cons(X1,skaf76(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf76(X2)),tl(skaf76(X2)))))) ),
inference(superposition,[status(thm)],[c_10774,c_427]) ).
tcf(c_74702,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X2) = nil )
| ( tl(skaf76(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf76(X2)))
| ~ ssList(tl(skaf76(X2)))
| ( cons(X0,X1) != skaf76(X2) ) ),
inference(superposition,[status(thm)],[c_10774,c_418]) ).
tcf(c_74703,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X2) = nil )
| ( hd(skaf76(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf76(X2)))
| ~ ssList(tl(skaf76(X2)))
| ( cons(X0,X1) != skaf76(X2) ) ),
inference(superposition,[status(thm)],[c_10774,c_417]) ).
tcf(c_74704,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X2) = nil )
| ( hd(skaf76(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf76(X2)))
| ~ ssList(tl(skaf76(X2)))
| ~ frontsegP(cons(X0,X1),skaf76(X2)) ),
inference(superposition,[status(thm)],[c_10774,c_423]) ).
tcf(c_74705,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf76(X2)))
| ( skaf76(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf76(X2)))
| ~ ssList(tl(skaf76(X2)))
| ~ frontsegP(cons(X0,X1),skaf76(X2)) ),
inference(superposition,[status(thm)],[c_10774,c_421]) ).
tcf(c_74706,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf76(X0),cons(hd(skaf76(X0)),X1))
| ( skaf76(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0)))
| ~ frontsegP(tl(skaf76(X0)),X1) ),
inference(superposition,[status(thm)],[c_10774,c_425]) ).
tcf(c_74707,plain,
! [X0: $i,X1: $i] :
( memberP(skaf76(X0),X1)
| ( skaf76(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf76(X0)))
| ~ ssList(tl(skaf76(X0)))
| ~ memberP(tl(skaf76(X0)),X1) ),
inference(superposition,[status(thm)],[c_10774,c_386]) ).
tcf(c_74708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf76(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf76(X3)))
| ~ ssList(tl(skaf76(X3)))
| ~ leq(X1,hd(skaf76(X3)))
| ~ leq(hd(skaf76(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf76(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf76(X3)),tl(skaf76(X3))))) ),
inference(superposition,[status(thm)],[c_10774,c_432]) ).
tcf(c_74709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf76(X3)))
| leq(hd(skaf76(X3)),X1)
| ( skaf76(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf76(X3)))
| ~ ssList(tl(skaf76(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf76(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf76(X3)),tl(skaf76(X3))))) ),
inference(superposition,[status(thm)],[c_10774,c_431]) ).
tcf(c_74710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf76(X3)))
| lt(hd(skaf76(X3)),X1)
| ( skaf76(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf76(X3)))
| ~ ssList(tl(skaf76(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf76(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf76(X3)),tl(skaf76(X3))))) ),
inference(superposition,[status(thm)],[c_10774,c_430]) ).
tcf(c_74711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf76(X3)))
| ( skaf76(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf76(X3)))
| ~ ssList(tl(skaf76(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf76(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf76(X3)),tl(skaf76(X3))))) ),
inference(superposition,[status(thm)],[c_10774,c_429]) ).
tcf(c_74712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf76(X3)))
| ( skaf76(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf76(X3)))
| ~ ssList(tl(skaf76(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf76(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf76(X3)),tl(skaf76(X3))))) ),
inference(superposition,[status(thm)],[c_10774,c_428]) ).
tcf(c_74713,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf76(X1)))
| ~ ssList(tl(skaf76(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf76(X1)),X2)),skaf76(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf76(X1)),X2)),cons(hd(skaf76(X1)),tl(skaf76(X1))))) ),
inference(superposition,[status(thm)],[c_10774,c_426]) ).
tcf(c_75208,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf57(X0)) = nil )
| ( cons(skac2,skaf57(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf57(X0)))
| ( skaf57(X0) != tl(X1) )
| ( hd(cons(skac2,skaf57(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70016,c_424]) ).
tcf(c_75218,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf56(X0)) = nil )
| ( cons(skac2,skaf56(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf56(X0)))
| ( skaf56(X0) != tl(X1) )
| ( hd(cons(skac2,skaf56(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70017,c_424]) ).
tcf(c_75228,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf53(X0)) = nil )
| ( cons(skac2,skaf53(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf53(X0)))
| ( skaf53(X0) != tl(X1) )
| ( hd(cons(skac2,skaf53(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70018,c_424]) ).
tcf(c_75288,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf52(X0)) = nil )
| ( cons(skac2,skaf52(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf52(X0)))
| ( skaf52(X0) != tl(X1) )
| ( hd(cons(skac2,skaf52(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70019,c_424]) ).
tcf(c_75306,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_51456,c_401]) ).
tcf(c_75307,plain,
( ( app(sk7,skaf45(cons(sk6,sk4),sk7)) = cons(sk6,sk4) )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_51456,c_379]) ).
tcf(c_75308,plain,
( ( cons(sk6,sk4) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk7,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_51456,c_376]) ).
tcf(c_75309,plain,
( ( cons(sk6,sk4) = sk7 )
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk7,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75308,c_6483,c_28942]) ).
tcf(c_75313,plain,
( ( app(sk7,skaf45(cons(sk6,sk4),sk7)) = cons(sk6,sk4) )
| ~ frontsegP(iPr_def_14,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75307,c_6483,c_28942]) ).
tcf(c_75316,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75306,c_6483,c_28942]) ).
tcf(c_75326,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_51459,c_401]) ).
tcf(c_75327,plain,
( ( app(sk7,skaf45(cons(sk6,sk4),sk7)) = cons(sk6,sk4) )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_51459,c_379]) ).
tcf(c_75328,plain,
( ( cons(sk6,sk4) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk7,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_51459,c_376]) ).
tcf(c_75329,plain,
( ( cons(sk6,sk4) = sk7 )
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk7,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75328,c_6483,c_28942]) ).
tcf(c_75333,plain,
( ( app(sk7,skaf45(cons(sk6,sk4),sk7)) = cons(sk6,sk4) )
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75327,c_6483,c_28942]) ).
tcf(c_75336,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75326,c_6483,c_28942]) ).
tcf(c_75346,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_51462,c_401]) ).
tcf(c_75347,plain,
( ( app(sk7,skaf45(cons(sk6,sk4),sk7)) = cons(sk6,sk4) )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_51462,c_379]) ).
tcf(c_75348,plain,
( ( cons(sk6,sk4) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk7,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_51462,c_376]) ).
tcf(c_75349,plain,
( ( cons(sk6,sk4) = sk7 )
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk7,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75348,c_6483,c_28942]) ).
tcf(c_75353,plain,
( ( app(sk7,skaf45(cons(sk6,sk4),sk7)) = cons(sk6,sk4) )
| ~ frontsegP(iPr_def_14,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75347,c_6483,c_28942]) ).
tcf(c_75356,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75346,c_6483,c_28942]) ).
tcf(c_75375,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_383,c_69731]) ).
tcf(c_75376,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,sk7)),sk8)
| ~ ssList(X0)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(X0,cons(sk6,sk7))) ),
inference(superposition,[status(thm)],[c_807,c_69731]) ).
tcf(c_75377,plain,
( rearsegP(cons(sk5,sk4),sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk4,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_66416,c_69731]) ).
tcf(c_75378,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ rearsegP(sk4,cons(sk6,sk7))
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68240,c_69731]) ).
tcf(c_75379,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ rearsegP(sk4,cons(sk6,sk7))
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68547,c_69731]) ).
tcf(c_75380,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ rearsegP(sk4,cons(sk6,sk7))
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68977,c_69731]) ).
tcf(c_75381,plain,
( rearsegP(cons(sk5,sk4),sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ rearsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75377,c_28940,c_66402]) ).
tcf(c_75385,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,sk7)),sk8)
| ~ ssList(X0)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(app(X0,cons(sk6,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75376,c_28940]) ).
tcf(c_75390,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ rearsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75380,c_28940,c_68959]) ).
tcf(c_75394,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ rearsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75379,c_28940,c_68529]) ).
tcf(c_75398,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ rearsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75378,c_28940,c_68222]) ).
tcf(c_75402,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75375,c_28940]) ).
tcf(c_75411,plain,
~ segmentP(sk4,cons(sk6,app(sk4,sk4))),
inference(global_subsumption_just,[status(thm)],[c_69809,c_68233,c_69809]) ).
tcf(c_75440,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_384,c_75316]) ).
tcf(c_75441,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(superposition,[status(thm)],[c_808,c_75316]) ).
tcf(c_75442,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssItem(sk6)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(X0,sk4)
| ~ ssList(cons(sk6,X0)) ),
inference(superposition,[status(thm)],[c_425,c_75316]) ).
tcf(c_75443,plain,
( frontsegP(iPr_def_14,sk7)
| ~ ssList(iPr_def_14)
| ~ ssList(sk4)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(nil,sk4) ),
inference(superposition,[status(thm)],[c_15753,c_75316]) ).
tcf(c_75447,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_75316]) ).
tcf(c_75448,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68232,c_75316]) ).
tcf(c_75450,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_68556,c_75316]) ).
tcf(c_75451,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_68986,c_75316]) ).
tcf(c_75452,plain,
( frontsegP(iPr_def_14,sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(nil,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75443,c_9488,c_6486]) ).
tcf(c_75456,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75448,c_68222]) ).
tcf(c_75459,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(iPr_def_12,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75447,c_28942,c_66402]) ).
tcf(c_75463,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75441,c_28942]) ).
tcf(c_75468,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(X0,sk4)
| ~ ssList(cons(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75442,c_6484,c_6486]) ).
tcf(c_75474,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(cons(sk6,sk8),cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75451,c_28942,c_68959]) ).
tcf(c_75478,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(cons(sk6,sk7),cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75450,c_28942,c_68529]) ).
tcf(c_75482,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75440,c_28942]) ).
tcf(c_75496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf75(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf75(X1)))
| ~ ssList(tl(skaf75(X1)))
| ~ leq(X2,hd(skaf75(X1)))
| ~ leq(hd(skaf75(X1)),X2)
| ~ ssList(app(app(X0,skaf75(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf75(X1)),tl(skaf75(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10775,c_432]) ).
tcf(c_75497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf75(X1)))
| leq(hd(skaf75(X1)),X2)
| ( skaf75(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf75(X1)))
| ~ ssList(tl(skaf75(X1)))
| ~ ssList(app(app(X0,skaf75(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf75(X1)),tl(skaf75(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10775,c_431]) ).
tcf(c_75498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf75(X1)))
| lt(hd(skaf75(X1)),X2)
| ( skaf75(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf75(X1)))
| ~ ssList(tl(skaf75(X1)))
| ~ ssList(app(app(X0,skaf75(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf75(X1)),tl(skaf75(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10775,c_430]) ).
tcf(c_75499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf75(X1)),X2)
| ( skaf75(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf75(X1)))
| ~ ssList(tl(skaf75(X1)))
| ~ ssList(app(app(X0,skaf75(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf75(X1)),tl(skaf75(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10775,c_429]) ).
tcf(c_75500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf75(X1)),X2)
| ( skaf75(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf75(X1)))
| ~ ssList(tl(skaf75(X1)))
| ~ ssList(app(app(X0,skaf75(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf75(X1)),tl(skaf75(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10775,c_428]) ).
tcf(c_75501,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf75(X1)))
| ~ ssList(tl(skaf75(X1)))
| ~ ssList(app(app(X0,skaf75(X1)),cons(hd(skaf75(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf75(X1)),tl(skaf75(X1)))),cons(hd(skaf75(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10775,c_426]) ).
tcf(c_75502,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf75(X1)),hd(skaf75(X1)))
| ( skaf75(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf75(X1)))
| ~ ssList(tl(skaf75(X1)))
| ~ ssList(app(X0,cons(hd(skaf75(X1)),tl(skaf75(X1))))) ),
inference(superposition,[status(thm)],[c_10775,c_422]) ).
tcf(c_75503,plain,
! [X0: $i] :
( memberP(skaf75(X0),hd(skaf75(X0)))
| ( skaf75(X0) = nil )
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10775,c_385]) ).
tcf(c_75505,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( tl(skaf75(X0)) = nil )
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0)))
| ( skaf75(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10775,c_21847]) ).
tcf(c_75506,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( tl(skaf75(X0)) = nil )
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0)))
| ( skaf75(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10775,c_21842]) ).
tcf(c_75507,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( hd(skaf75(X0)) = sk5 )
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0)))
| ( skaf75(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10775,c_21750]) ).
tcf(c_75508,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( hd(skaf75(X0)) = sk6 )
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0)))
| ( skaf75(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10775,c_21745]) ).
tcf(c_75509,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( hd(skaf75(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf75(X0))
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10775,c_21595]) ).
tcf(c_75510,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( hd(skaf75(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf75(X0))
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10775,c_21590]) ).
tcf(c_75511,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( hd(skaf75(X0)) = sk5 )
| ~ frontsegP(skaf75(X0),iPr_def_12)
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10775,c_21585]) ).
tcf(c_75512,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( hd(skaf75(X0)) = sk6 )
| ~ frontsegP(skaf75(X0),iPr_def_14)
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10775,c_21580]) ).
tcf(c_75513,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf75(X0)))
| ( skaf75(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf75(X0))
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10775,c_21202]) ).
tcf(c_75514,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf75(X0)))
| ( skaf75(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf75(X0))
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10775,c_21197]) ).
tcf(c_75517,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X0) = nil )
| ( hd(skaf75(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0)))
| ~ frontsegP(skaf75(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10775,c_423]) ).
tcf(c_75518,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf75(X0)),X2)
| ( skaf75(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0)))
| ~ frontsegP(skaf75(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10775,c_421]) ).
tcf(c_75519,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf75(X0)),X1)
| ( skaf75(X0) = nil )
| ( hd(skaf75(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0)))
| ~ memberP(skaf75(X0),X1) ),
inference(superposition,[status(thm)],[c_10775,c_408]) ).
tcf(c_75520,plain,
! [X0: $i] :
( leq(hd(skaf75(X0)),hd(tl(skaf75(X0))))
| ( skaf75(X0) = nil )
| ( tl(skaf75(X0)) = nil )
| ~ totalorderedP(skaf75(X0))
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10775,c_382]) ).
tcf(c_75521,plain,
! [X0: $i] :
( lt(hd(skaf75(X0)),hd(tl(skaf75(X0))))
| ( skaf75(X0) = nil )
| ( tl(skaf75(X0)) = nil )
| ~ strictorderedP(skaf75(X0))
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10775,c_381]) ).
tcf(c_75522,plain,
! [X0: $i] :
( totalorderedP(tl(skaf75(X0)))
| ( skaf75(X0) = nil )
| ( tl(skaf75(X0)) = nil )
| ~ totalorderedP(skaf75(X0))
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10775,c_372]) ).
tcf(c_75523,plain,
! [X0: $i] :
( strictorderedP(tl(skaf75(X0)))
| ( skaf75(X0) = nil )
| ( tl(skaf75(X0)) = nil )
| ~ strictorderedP(skaf75(X0))
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10775,c_371]) ).
tcf(c_75524,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0)))
| ( tl(skaf75(X0)) != skaf75(X0) ) ),
inference(superposition,[status(thm)],[c_10775,c_346]) ).
tcf(c_75526,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf75(X1)),X0),skaf75(X1))
| ( skaf75(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf75(X1)))
| ~ ssList(tl(skaf75(X1)))
| ~ frontsegP(X0,tl(skaf75(X1))) ),
inference(superposition,[status(thm)],[c_10775,c_425]) ).
tcf(c_75527,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X2) = nil )
| ( hd(skaf75(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf75(X2)))
| ~ ssList(tl(skaf75(X2)))
| ~ ssList(app(X0,cons(X1,skaf75(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf75(X2)),tl(skaf75(X2)))))) ),
inference(superposition,[status(thm)],[c_10775,c_427]) ).
tcf(c_75528,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X2) = nil )
| ( tl(skaf75(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf75(X2)))
| ~ ssList(tl(skaf75(X2)))
| ( cons(X0,X1) != skaf75(X2) ) ),
inference(superposition,[status(thm)],[c_10775,c_418]) ).
tcf(c_75529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X2) = nil )
| ( hd(skaf75(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf75(X2)))
| ~ ssList(tl(skaf75(X2)))
| ( cons(X0,X1) != skaf75(X2) ) ),
inference(superposition,[status(thm)],[c_10775,c_417]) ).
tcf(c_75530,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X2) = nil )
| ( hd(skaf75(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf75(X2)))
| ~ ssList(tl(skaf75(X2)))
| ~ frontsegP(cons(X0,X1),skaf75(X2)) ),
inference(superposition,[status(thm)],[c_10775,c_423]) ).
tcf(c_75531,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf75(X2)))
| ( skaf75(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf75(X2)))
| ~ ssList(tl(skaf75(X2)))
| ~ frontsegP(cons(X0,X1),skaf75(X2)) ),
inference(superposition,[status(thm)],[c_10775,c_421]) ).
tcf(c_75532,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf75(X0),cons(hd(skaf75(X0)),X1))
| ( skaf75(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0)))
| ~ frontsegP(tl(skaf75(X0)),X1) ),
inference(superposition,[status(thm)],[c_10775,c_425]) ).
tcf(c_75533,plain,
! [X0: $i,X1: $i] :
( memberP(skaf75(X0),X1)
| ( skaf75(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf75(X0)))
| ~ ssList(tl(skaf75(X0)))
| ~ memberP(tl(skaf75(X0)),X1) ),
inference(superposition,[status(thm)],[c_10775,c_386]) ).
tcf(c_75534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf75(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf75(X3)))
| ~ ssList(tl(skaf75(X3)))
| ~ leq(X1,hd(skaf75(X3)))
| ~ leq(hd(skaf75(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf75(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf75(X3)),tl(skaf75(X3))))) ),
inference(superposition,[status(thm)],[c_10775,c_432]) ).
tcf(c_75535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf75(X3)))
| leq(hd(skaf75(X3)),X1)
| ( skaf75(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf75(X3)))
| ~ ssList(tl(skaf75(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf75(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf75(X3)),tl(skaf75(X3))))) ),
inference(superposition,[status(thm)],[c_10775,c_431]) ).
tcf(c_75536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf75(X3)))
| lt(hd(skaf75(X3)),X1)
| ( skaf75(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf75(X3)))
| ~ ssList(tl(skaf75(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf75(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf75(X3)),tl(skaf75(X3))))) ),
inference(superposition,[status(thm)],[c_10775,c_430]) ).
tcf(c_75537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf75(X3)))
| ( skaf75(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf75(X3)))
| ~ ssList(tl(skaf75(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf75(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf75(X3)),tl(skaf75(X3))))) ),
inference(superposition,[status(thm)],[c_10775,c_429]) ).
tcf(c_75538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf75(X3)))
| ( skaf75(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf75(X3)))
| ~ ssList(tl(skaf75(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf75(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf75(X3)),tl(skaf75(X3))))) ),
inference(superposition,[status(thm)],[c_10775,c_428]) ).
tcf(c_75539,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf75(X1)))
| ~ ssList(tl(skaf75(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf75(X1)),X2)),skaf75(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf75(X1)),X2)),cons(hd(skaf75(X1)),tl(skaf75(X1))))) ),
inference(superposition,[status(thm)],[c_10775,c_426]) ).
tcf(c_76059,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( cons(skac2,skaf51(X0)) = nil )
| ( cons(skac2,skaf51(X0)) = X1 )
| ~ ssList(X1)
| ~ ssList(cons(skac2,skaf51(X0)))
| ( skaf51(X0) != tl(X1) )
| ( hd(cons(skac2,skaf51(X0))) != hd(X1) ) ),
inference(superposition,[status(thm)],[c_70020,c_424]) ).
tcf(c_76073,plain,
hd(cons(skac3,sk4)) = skac3,
inference(superposition,[status(thm)],[c_6486,c_10020]) ).
tcf(c_76074,plain,
hd(cons(skac3,sk7)) = skac3,
inference(superposition,[status(thm)],[c_6483,c_10020]) ).
tcf(c_76075,plain,
hd(cons(skac3,sk8)) = skac3,
inference(superposition,[status(thm)],[c_6482,c_10020]) ).
tcf(c_76076,plain,
hd(cons(skac3,nil)) = skac3,
inference(superposition,[status(thm)],[c_255,c_10020]) ).
tcf(c_76077,plain,
! [X0: $i] : hd(cons(skac3,skaf82(X0))) = skac3,
inference(superposition,[status(thm)],[c_260,c_10020]) ).
tcf(c_76078,plain,
! [X0: $i] : hd(cons(skac3,skaf81(X0))) = skac3,
inference(superposition,[status(thm)],[c_261,c_10020]) ).
tcf(c_76079,plain,
! [X0: $i] : hd(cons(skac3,skaf80(X0))) = skac3,
inference(superposition,[status(thm)],[c_262,c_10020]) ).
tcf(c_76080,plain,
! [X0: $i] : hd(cons(skac3,skaf77(X0))) = skac3,
inference(superposition,[status(thm)],[c_265,c_10020]) ).
tcf(c_76081,plain,
! [X0: $i] : hd(cons(skac3,skaf76(X0))) = skac3,
inference(superposition,[status(thm)],[c_266,c_10020]) ).
tcf(c_76082,plain,
! [X0: $i] : hd(cons(skac3,skaf75(X0))) = skac3,
inference(superposition,[status(thm)],[c_267,c_10020]) ).
tcf(c_76083,plain,
! [X0: $i] : hd(cons(skac3,skaf73(X0))) = skac3,
inference(superposition,[status(thm)],[c_269,c_10020]) ).
tcf(c_76084,plain,
! [X0: $i] : hd(cons(skac3,skaf72(X0))) = skac3,
inference(superposition,[status(thm)],[c_270,c_10020]) ).
tcf(c_76085,plain,
! [X0: $i] : hd(cons(skac3,skaf71(X0))) = skac3,
inference(superposition,[status(thm)],[c_271,c_10020]) ).
tcf(c_76086,plain,
! [X0: $i] : hd(cons(skac3,skaf68(X0))) = skac3,
inference(superposition,[status(thm)],[c_274,c_10020]) ).
tcf(c_76087,plain,
! [X0: $i] : hd(cons(skac3,skaf67(X0))) = skac3,
inference(superposition,[status(thm)],[c_275,c_10020]) ).
tcf(c_76088,plain,
! [X0: $i] : hd(cons(skac3,skaf66(X0))) = skac3,
inference(superposition,[status(thm)],[c_276,c_10020]) ).
tcf(c_76089,plain,
! [X0: $i] : hd(cons(skac3,skaf63(X0))) = skac3,
inference(superposition,[status(thm)],[c_279,c_10020]) ).
tcf(c_76090,plain,
! [X0: $i] : hd(cons(skac3,skaf62(X0))) = skac3,
inference(superposition,[status(thm)],[c_280,c_10020]) ).
tcf(c_76091,plain,
! [X0: $i] : hd(cons(skac3,skaf61(X0))) = skac3,
inference(superposition,[status(thm)],[c_281,c_10020]) ).
tcf(c_76092,plain,
! [X0: $i] : hd(cons(skac3,skaf58(X0))) = skac3,
inference(superposition,[status(thm)],[c_284,c_10020]) ).
tcf(c_76093,plain,
! [X0: $i] : hd(cons(skac3,skaf57(X0))) = skac3,
inference(superposition,[status(thm)],[c_285,c_10020]) ).
tcf(c_76094,plain,
! [X0: $i] : hd(cons(skac3,skaf56(X0))) = skac3,
inference(superposition,[status(thm)],[c_286,c_10020]) ).
tcf(c_76095,plain,
! [X0: $i] : hd(cons(skac3,skaf53(X0))) = skac3,
inference(superposition,[status(thm)],[c_289,c_10020]) ).
tcf(c_76096,plain,
! [X0: $i] : hd(cons(skac3,skaf52(X0))) = skac3,
inference(superposition,[status(thm)],[c_290,c_10020]) ).
tcf(c_76097,plain,
! [X0: $i] : hd(cons(skac3,skaf51(X0))) = skac3,
inference(superposition,[status(thm)],[c_291,c_10020]) ).
tcf(c_76098,plain,
! [X0: $i,X1: $i] : hd(cons(skac3,skaf48(X0,X1))) = skac3,
inference(superposition,[status(thm)],[c_295,c_10020]) ).
tcf(c_76099,plain,
! [X0: $i,X1: $i] : hd(cons(skac3,skaf47(X0,X1))) = skac3,
inference(superposition,[status(thm)],[c_296,c_10020]) ).
tcf(c_76100,plain,
! [X0: $i,X1: $i] : hd(cons(skac3,skaf46(X0,X1))) = skac3,
inference(superposition,[status(thm)],[c_297,c_10020]) ).
tcf(c_76101,plain,
! [X0: $i,X1: $i] : hd(cons(skac3,skaf45(X0,X1))) = skac3,
inference(superposition,[status(thm)],[c_298,c_10020]) ).
tcf(c_76102,plain,
! [X0: $i,X1: $i] : hd(cons(skac3,skaf43(X0,X1))) = skac3,
inference(superposition,[status(thm)],[c_299,c_10020]) ).
tcf(c_76103,plain,
! [X0: $i,X1: $i] : hd(cons(skac3,skaf42(X0,X1))) = skac3,
inference(superposition,[status(thm)],[c_300,c_10020]) ).
tcf(c_76104,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(skac3,tl(X0))) = skac3 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_10020]) ).
tcf(c_76105,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skac3,app(X1,X0))) = skac3 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_10020]) ).
tcf(c_76106,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skac3,cons(X1,X0))) = skac3 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_10020]) ).
tcf(c_76107,plain,
hd(cons(skac3,iPr_def_16)) = skac3,
inference(superposition,[status(thm)],[c_9020,c_10020]) ).
tcf(c_76108,plain,
hd(cons(skac3,iPr_def_13)) = skac3,
inference(superposition,[status(thm)],[c_9527,c_10020]) ).
tcf(c_76109,plain,
hd(cons(skac3,iPr_def_12)) = skac3,
inference(superposition,[status(thm)],[c_9489,c_10020]) ).
tcf(c_76110,plain,
hd(cons(skac3,iPr_def_15)) = skac3,
inference(superposition,[status(thm)],[c_24748,c_10020]) ).
tcf(c_76111,plain,
hd(cons(skac3,iPr_def_14)) = skac3,
inference(superposition,[status(thm)],[c_9488,c_10020]) ).
tcf(c_76112,plain,
hd(cons(skac3,cons(sk5,sk4))) = skac3,
inference(superposition,[status(thm)],[c_66402,c_10020]) ).
tcf(c_76113,plain,
hd(cons(skac3,cons(sk6,sk4))) = skac3,
inference(superposition,[status(thm)],[c_28942,c_10020]) ).
tcf(c_76114,plain,
hd(cons(skac3,cons(sk6,sk7))) = skac3,
inference(superposition,[status(thm)],[c_28940,c_10020]) ).
tcf(c_76115,plain,
hd(cons(skac3,cons(sk6,sk8))) = skac3,
inference(superposition,[status(thm)],[c_28938,c_10020]) ).
tcf(c_76116,plain,
( ( hd(cons(skac3,app(sk4,app(sk4,sk4)))) = skac3 )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38386,c_10020]) ).
tcf(c_76117,plain,
( ( hd(cons(skac3,app(sk4,app(sk4,sk7)))) = skac3 )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_38753,c_10020]) ).
tcf(c_76118,plain,
( ( hd(cons(skac3,app(sk4,app(sk4,sk8)))) = skac3 )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39403,c_10020]) ).
tcf(c_76119,plain,
( ( hd(cons(skac3,app(sk7,app(sk4,sk4)))) = skac3 )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_10020]) ).
tcf(c_76120,plain,
( ( hd(cons(skac3,app(sk7,app(sk4,sk7)))) = skac3 )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_10020]) ).
tcf(c_76121,plain,
( ( hd(cons(skac3,app(sk7,app(sk4,sk8)))) = skac3 )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_10020]) ).
tcf(c_76122,plain,
( ( hd(cons(skac3,app(sk8,app(sk4,sk4)))) = skac3 )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_10020]) ).
tcf(c_76123,plain,
( ( hd(cons(skac3,app(sk8,app(sk4,sk7)))) = skac3 )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_10020]) ).
tcf(c_76124,plain,
( ( hd(cons(skac3,app(sk8,app(sk4,sk8)))) = skac3 )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_10020]) ).
tcf(c_76125,plain,
( ( hd(cons(skac3,app(sk4,app(sk7,sk4)))) = skac3 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_10020]) ).
tcf(c_76126,plain,
( ( hd(cons(skac3,app(sk4,app(sk7,sk7)))) = skac3 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_10020]) ).
tcf(c_76127,plain,
( ( hd(cons(skac3,app(sk4,app(sk7,sk8)))) = skac3 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_10020]) ).
tcf(c_76128,plain,
( ( hd(cons(skac3,app(sk7,app(sk7,sk4)))) = skac3 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_10020]) ).
tcf(c_76129,plain,
( ( hd(cons(skac3,app(sk7,app(sk7,sk7)))) = skac3 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_10020]) ).
tcf(c_76130,plain,
( ( hd(cons(skac3,app(sk7,app(sk7,sk8)))) = skac3 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_10020]) ).
tcf(c_76131,plain,
( ( hd(cons(skac3,app(sk8,app(sk7,sk4)))) = skac3 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_10020]) ).
tcf(c_76132,plain,
( ( hd(cons(skac3,app(sk8,app(sk7,sk7)))) = skac3 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_10020]) ).
tcf(c_76133,plain,
( ( hd(cons(skac3,app(sk8,app(sk7,sk8)))) = skac3 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_10020]) ).
tcf(c_76134,plain,
( ( hd(cons(skac3,app(sk4,app(sk8,sk4)))) = skac3 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_10020]) ).
tcf(c_76135,plain,
( ( hd(cons(skac3,app(sk4,app(sk8,sk7)))) = skac3 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_10020]) ).
tcf(c_76136,plain,
( ( hd(cons(skac3,app(sk4,app(sk8,sk8)))) = skac3 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_10020]) ).
tcf(c_76137,plain,
( ( hd(cons(skac3,app(sk7,app(sk8,sk4)))) = skac3 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_10020]) ).
tcf(c_76138,plain,
( ( hd(cons(skac3,app(sk7,app(sk8,sk7)))) = skac3 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_10020]) ).
tcf(c_76139,plain,
( ( hd(cons(skac3,app(sk7,app(sk8,sk8)))) = skac3 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_10020]) ).
tcf(c_76140,plain,
( ( hd(cons(skac3,app(sk8,app(sk8,sk4)))) = skac3 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_10020]) ).
tcf(c_76141,plain,
( ( hd(cons(skac3,app(sk8,app(sk8,sk7)))) = skac3 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_10020]) ).
tcf(c_76142,plain,
( ( hd(cons(skac3,app(sk8,app(sk8,sk8)))) = skac3 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_10020]) ).
tcf(c_76143,plain,
hd(cons(skac3,cons(sk5,app(sk4,sk4)))) = skac3,
inference(superposition,[status(thm)],[c_66447,c_10020]) ).
tcf(c_76144,plain,
( ( hd(cons(skac3,cons(sk5,app(sk7,sk4)))) = skac3 )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_10020]) ).
tcf(c_76145,plain,
( ( hd(cons(skac3,cons(sk5,app(sk8,sk4)))) = skac3 )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_10020]) ).
tcf(c_76146,plain,
hd(cons(skac3,cons(sk6,app(sk4,sk4)))) = skac3,
inference(superposition,[status(thm)],[c_68222,c_10020]) ).
tcf(c_76147,plain,
hd(cons(skac3,cons(sk6,app(sk7,sk4)))) = skac3,
inference(superposition,[status(thm)],[c_68529,c_10020]) ).
tcf(c_76148,plain,
hd(cons(skac3,cons(sk6,app(sk8,sk4)))) = skac3,
inference(superposition,[status(thm)],[c_68959,c_10020]) ).
tcf(c_76476,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac3,sk4)))
| ( cons(skac3,sk4) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac3)
| ~ strictorderedP(cons(skac3,sk4))
| ~ ssList(cons(skac3,sk4)) ),
inference(superposition,[status(thm)],[c_76073,c_407]) ).
tcf(c_76477,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac3,sk4)))
| ( cons(skac3,sk4) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac3)
| ~ totalorderedP(cons(skac3,sk4))
| ~ ssList(cons(skac3,sk4)) ),
inference(superposition,[status(thm)],[c_76073,c_406]) ).
tcf(c_76497,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac3,sk7)))
| ( cons(skac3,sk7) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac3)
| ~ strictorderedP(cons(skac3,sk7))
| ~ ssList(cons(skac3,sk7)) ),
inference(superposition,[status(thm)],[c_76074,c_407]) ).
tcf(c_76498,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac3,sk7)))
| ( cons(skac3,sk7) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac3)
| ~ totalorderedP(cons(skac3,sk7))
| ~ ssList(cons(skac3,sk7)) ),
inference(superposition,[status(thm)],[c_76074,c_406]) ).
tcf(c_76572,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac3,sk8)))
| ( cons(skac3,sk8) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac3)
| ~ strictorderedP(cons(skac3,sk8))
| ~ ssList(cons(skac3,sk8)) ),
inference(superposition,[status(thm)],[c_76075,c_407]) ).
tcf(c_76573,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac3,sk8)))
| ( cons(skac3,sk8) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac3)
| ~ totalorderedP(cons(skac3,sk8))
| ~ ssList(cons(skac3,sk8)) ),
inference(superposition,[status(thm)],[c_76075,c_406]) ).
tcf(c_76589,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac3,nil)))
| ( cons(skac3,nil) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac3)
| ~ strictorderedP(cons(skac3,nil))
| ~ ssList(cons(skac3,nil)) ),
inference(superposition,[status(thm)],[c_76076,c_407]) ).
tcf(c_76590,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac3,nil)))
| ( cons(skac3,nil) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac3)
| ~ totalorderedP(cons(skac3,nil))
| ~ ssList(cons(skac3,nil)) ),
inference(superposition,[status(thm)],[c_76076,c_406]) ).
tcf(c_76606,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac3,iPr_def_16)))
| ( cons(skac3,iPr_def_16) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac3)
| ~ strictorderedP(cons(skac3,iPr_def_16))
| ~ ssList(cons(skac3,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_76107,c_407]) ).
tcf(c_76607,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac3,iPr_def_16)))
| ( cons(skac3,iPr_def_16) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac3)
| ~ totalorderedP(cons(skac3,iPr_def_16))
| ~ ssList(cons(skac3,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_76107,c_406]) ).
tcf(c_76685,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac3,iPr_def_13)))
| ( cons(skac3,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac3)
| ~ strictorderedP(cons(skac3,iPr_def_13))
| ~ ssList(cons(skac3,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_76108,c_407]) ).
tcf(c_76686,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac3,iPr_def_13)))
| ( cons(skac3,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac3)
| ~ totalorderedP(cons(skac3,iPr_def_13))
| ~ ssList(cons(skac3,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_76108,c_406]) ).
tcf(c_76727,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_384,c_75336]) ).
tcf(c_76728,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(superposition,[status(thm)],[c_808,c_75336]) ).
tcf(c_76729,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssItem(sk6)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(X0,sk4)
| ~ ssList(cons(sk6,X0)) ),
inference(superposition,[status(thm)],[c_425,c_75336]) ).
tcf(c_76730,plain,
( frontsegP(iPr_def_14,sk7)
| ~ ssList(iPr_def_14)
| ~ ssList(sk4)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(nil,sk4) ),
inference(superposition,[status(thm)],[c_15753,c_75336]) ).
tcf(c_76734,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_75336]) ).
tcf(c_76735,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68232,c_75336]) ).
tcf(c_76737,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_68556,c_75336]) ).
tcf(c_76738,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_68986,c_75336]) ).
tcf(c_76739,plain,
( frontsegP(iPr_def_14,sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(nil,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76730,c_9488,c_6486]) ).
tcf(c_76743,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76735,c_68222]) ).
tcf(c_76746,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(iPr_def_12,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76734,c_28942,c_66402]) ).
tcf(c_76750,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76728,c_28942]) ).
tcf(c_76755,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(X0,sk4)
| ~ ssList(cons(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76729,c_6484,c_6486]) ).
tcf(c_76761,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(cons(sk6,sk8),cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76738,c_28942,c_68959]) ).
tcf(c_76765,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(cons(sk6,sk7),cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76737,c_28942,c_68529]) ).
tcf(c_76769,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76727,c_28942]) ).
tcf(c_76804,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_384,c_75356]) ).
tcf(c_76805,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(superposition,[status(thm)],[c_808,c_75356]) ).
tcf(c_76806,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssItem(sk6)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(X0,sk4)
| ~ ssList(cons(sk6,X0)) ),
inference(superposition,[status(thm)],[c_425,c_75356]) ).
tcf(c_76807,plain,
( frontsegP(iPr_def_14,sk7)
| ~ ssList(iPr_def_14)
| ~ ssList(sk4)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(nil,sk4) ),
inference(superposition,[status(thm)],[c_15753,c_75356]) ).
tcf(c_76811,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_75356]) ).
tcf(c_76812,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68232,c_75356]) ).
tcf(c_76814,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_68556,c_75356]) ).
tcf(c_76815,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_68986,c_75356]) ).
tcf(c_76816,plain,
( frontsegP(iPr_def_14,sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(nil,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76807,c_9488,c_6486]) ).
tcf(c_76820,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76812,c_68222]) ).
tcf(c_76823,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(iPr_def_12,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76811,c_28942,c_66402]) ).
tcf(c_76827,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(app(cons(sk6,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76805,c_28942]) ).
tcf(c_76832,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(X0,sk4)
| ~ ssList(cons(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76806,c_6484,c_6486]) ).
tcf(c_76838,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(cons(sk6,sk8),cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76815,c_28942,c_68959]) ).
tcf(c_76842,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(cons(sk6,sk7),cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76814,c_28942,c_68529]) ).
tcf(c_76846,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76804,c_28942]) ).
tcf(c_76860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf73(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf73(X1)))
| ~ ssList(tl(skaf73(X1)))
| ~ leq(X2,hd(skaf73(X1)))
| ~ leq(hd(skaf73(X1)),X2)
| ~ ssList(app(app(X0,skaf73(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf73(X1)),tl(skaf73(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10776,c_432]) ).
tcf(c_76861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf73(X1)))
| leq(hd(skaf73(X1)),X2)
| ( skaf73(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf73(X1)))
| ~ ssList(tl(skaf73(X1)))
| ~ ssList(app(app(X0,skaf73(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf73(X1)),tl(skaf73(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10776,c_431]) ).
tcf(c_76862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf73(X1)))
| lt(hd(skaf73(X1)),X2)
| ( skaf73(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf73(X1)))
| ~ ssList(tl(skaf73(X1)))
| ~ ssList(app(app(X0,skaf73(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf73(X1)),tl(skaf73(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10776,c_430]) ).
tcf(c_76863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf73(X1)),X2)
| ( skaf73(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf73(X1)))
| ~ ssList(tl(skaf73(X1)))
| ~ ssList(app(app(X0,skaf73(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf73(X1)),tl(skaf73(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10776,c_429]) ).
tcf(c_76864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf73(X1)),X2)
| ( skaf73(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf73(X1)))
| ~ ssList(tl(skaf73(X1)))
| ~ ssList(app(app(X0,skaf73(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf73(X1)),tl(skaf73(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10776,c_428]) ).
tcf(c_76865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf73(X1)))
| ~ ssList(tl(skaf73(X1)))
| ~ ssList(app(app(X0,skaf73(X1)),cons(hd(skaf73(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf73(X1)),tl(skaf73(X1)))),cons(hd(skaf73(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10776,c_426]) ).
tcf(c_76866,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf73(X1)),hd(skaf73(X1)))
| ( skaf73(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf73(X1)))
| ~ ssList(tl(skaf73(X1)))
| ~ ssList(app(X0,cons(hd(skaf73(X1)),tl(skaf73(X1))))) ),
inference(superposition,[status(thm)],[c_10776,c_422]) ).
tcf(c_76867,plain,
! [X0: $i] :
( memberP(skaf73(X0),hd(skaf73(X0)))
| ( skaf73(X0) = nil )
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10776,c_385]) ).
tcf(c_76869,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( tl(skaf73(X0)) = nil )
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0)))
| ( skaf73(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10776,c_21847]) ).
tcf(c_76870,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( tl(skaf73(X0)) = nil )
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0)))
| ( skaf73(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10776,c_21842]) ).
tcf(c_76871,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( hd(skaf73(X0)) = sk5 )
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0)))
| ( skaf73(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10776,c_21750]) ).
tcf(c_76872,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( hd(skaf73(X0)) = sk6 )
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0)))
| ( skaf73(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10776,c_21745]) ).
tcf(c_76873,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( hd(skaf73(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf73(X0))
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10776,c_21595]) ).
tcf(c_76874,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( hd(skaf73(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf73(X0))
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10776,c_21590]) ).
tcf(c_76875,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( hd(skaf73(X0)) = sk5 )
| ~ frontsegP(skaf73(X0),iPr_def_12)
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10776,c_21585]) ).
tcf(c_76876,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( hd(skaf73(X0)) = sk6 )
| ~ frontsegP(skaf73(X0),iPr_def_14)
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10776,c_21580]) ).
tcf(c_76877,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf73(X0)))
| ( skaf73(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf73(X0))
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10776,c_21202]) ).
tcf(c_76878,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf73(X0)))
| ( skaf73(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf73(X0))
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10776,c_21197]) ).
tcf(c_76881,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X0) = nil )
| ( hd(skaf73(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0)))
| ~ frontsegP(skaf73(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10776,c_423]) ).
tcf(c_76882,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf73(X0)),X2)
| ( skaf73(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0)))
| ~ frontsegP(skaf73(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10776,c_421]) ).
tcf(c_76883,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf73(X0)),X1)
| ( skaf73(X0) = nil )
| ( hd(skaf73(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0)))
| ~ memberP(skaf73(X0),X1) ),
inference(superposition,[status(thm)],[c_10776,c_408]) ).
tcf(c_76884,plain,
! [X0: $i] :
( leq(hd(skaf73(X0)),hd(tl(skaf73(X0))))
| ( skaf73(X0) = nil )
| ( tl(skaf73(X0)) = nil )
| ~ totalorderedP(skaf73(X0))
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10776,c_382]) ).
tcf(c_76885,plain,
! [X0: $i] :
( lt(hd(skaf73(X0)),hd(tl(skaf73(X0))))
| ( skaf73(X0) = nil )
| ( tl(skaf73(X0)) = nil )
| ~ strictorderedP(skaf73(X0))
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10776,c_381]) ).
tcf(c_76886,plain,
! [X0: $i] :
( totalorderedP(tl(skaf73(X0)))
| ( skaf73(X0) = nil )
| ( tl(skaf73(X0)) = nil )
| ~ totalorderedP(skaf73(X0))
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10776,c_372]) ).
tcf(c_76887,plain,
! [X0: $i] :
( strictorderedP(tl(skaf73(X0)))
| ( skaf73(X0) = nil )
| ( tl(skaf73(X0)) = nil )
| ~ strictorderedP(skaf73(X0))
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10776,c_371]) ).
tcf(c_76888,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0)))
| ( tl(skaf73(X0)) != skaf73(X0) ) ),
inference(superposition,[status(thm)],[c_10776,c_346]) ).
tcf(c_76890,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf73(X1)),X0),skaf73(X1))
| ( skaf73(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf73(X1)))
| ~ ssList(tl(skaf73(X1)))
| ~ frontsegP(X0,tl(skaf73(X1))) ),
inference(superposition,[status(thm)],[c_10776,c_425]) ).
tcf(c_76891,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X2) = nil )
| ( hd(skaf73(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf73(X2)))
| ~ ssList(tl(skaf73(X2)))
| ~ ssList(app(X0,cons(X1,skaf73(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf73(X2)),tl(skaf73(X2)))))) ),
inference(superposition,[status(thm)],[c_10776,c_427]) ).
tcf(c_76892,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X2) = nil )
| ( tl(skaf73(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf73(X2)))
| ~ ssList(tl(skaf73(X2)))
| ( cons(X0,X1) != skaf73(X2) ) ),
inference(superposition,[status(thm)],[c_10776,c_418]) ).
tcf(c_76893,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X2) = nil )
| ( hd(skaf73(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf73(X2)))
| ~ ssList(tl(skaf73(X2)))
| ( cons(X0,X1) != skaf73(X2) ) ),
inference(superposition,[status(thm)],[c_10776,c_417]) ).
tcf(c_76894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X2) = nil )
| ( hd(skaf73(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf73(X2)))
| ~ ssList(tl(skaf73(X2)))
| ~ frontsegP(cons(X0,X1),skaf73(X2)) ),
inference(superposition,[status(thm)],[c_10776,c_423]) ).
tcf(c_76895,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf73(X2)))
| ( skaf73(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf73(X2)))
| ~ ssList(tl(skaf73(X2)))
| ~ frontsegP(cons(X0,X1),skaf73(X2)) ),
inference(superposition,[status(thm)],[c_10776,c_421]) ).
tcf(c_76896,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf73(X0),cons(hd(skaf73(X0)),X1))
| ( skaf73(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0)))
| ~ frontsegP(tl(skaf73(X0)),X1) ),
inference(superposition,[status(thm)],[c_10776,c_425]) ).
tcf(c_76897,plain,
! [X0: $i,X1: $i] :
( memberP(skaf73(X0),X1)
| ( skaf73(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf73(X0)))
| ~ ssList(tl(skaf73(X0)))
| ~ memberP(tl(skaf73(X0)),X1) ),
inference(superposition,[status(thm)],[c_10776,c_386]) ).
tcf(c_76898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf73(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf73(X3)))
| ~ ssList(tl(skaf73(X3)))
| ~ leq(X1,hd(skaf73(X3)))
| ~ leq(hd(skaf73(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf73(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf73(X3)),tl(skaf73(X3))))) ),
inference(superposition,[status(thm)],[c_10776,c_432]) ).
tcf(c_76899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf73(X3)))
| leq(hd(skaf73(X3)),X1)
| ( skaf73(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf73(X3)))
| ~ ssList(tl(skaf73(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf73(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf73(X3)),tl(skaf73(X3))))) ),
inference(superposition,[status(thm)],[c_10776,c_431]) ).
tcf(c_76900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf73(X3)))
| lt(hd(skaf73(X3)),X1)
| ( skaf73(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf73(X3)))
| ~ ssList(tl(skaf73(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf73(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf73(X3)),tl(skaf73(X3))))) ),
inference(superposition,[status(thm)],[c_10776,c_430]) ).
tcf(c_76901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf73(X3)))
| ( skaf73(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf73(X3)))
| ~ ssList(tl(skaf73(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf73(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf73(X3)),tl(skaf73(X3))))) ),
inference(superposition,[status(thm)],[c_10776,c_429]) ).
tcf(c_76902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf73(X3)))
| ( skaf73(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf73(X3)))
| ~ ssList(tl(skaf73(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf73(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf73(X3)),tl(skaf73(X3))))) ),
inference(superposition,[status(thm)],[c_10776,c_428]) ).
tcf(c_76903,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf73(X1)))
| ~ ssList(tl(skaf73(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf73(X1)),X2)),skaf73(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf73(X1)),X2)),cons(hd(skaf73(X1)),tl(skaf73(X1))))) ),
inference(superposition,[status(thm)],[c_10776,c_426]) ).
tcf(c_77342,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf82(X0))))
| ( cons(skac3,skaf82(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf82(X0)))
| ~ ssList(cons(skac3,skaf82(X0))) ),
inference(superposition,[status(thm)],[c_76077,c_407]) ).
tcf(c_77343,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf82(X0))))
| ( cons(skac3,skaf82(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf82(X0)))
| ~ ssList(cons(skac3,skaf82(X0))) ),
inference(superposition,[status(thm)],[c_76077,c_406]) ).
tcf(c_77359,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf81(X0))))
| ( cons(skac3,skaf81(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf81(X0)))
| ~ ssList(cons(skac3,skaf81(X0))) ),
inference(superposition,[status(thm)],[c_76078,c_407]) ).
tcf(c_77360,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf81(X0))))
| ( cons(skac3,skaf81(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf81(X0)))
| ~ ssList(cons(skac3,skaf81(X0))) ),
inference(superposition,[status(thm)],[c_76078,c_406]) ).
tcf(c_77376,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf80(X0))))
| ( cons(skac3,skaf80(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf80(X0)))
| ~ ssList(cons(skac3,skaf80(X0))) ),
inference(superposition,[status(thm)],[c_76079,c_407]) ).
tcf(c_77377,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf80(X0))))
| ( cons(skac3,skaf80(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf80(X0)))
| ~ ssList(cons(skac3,skaf80(X0))) ),
inference(superposition,[status(thm)],[c_76079,c_406]) ).
tcf(c_77531,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf77(X0))))
| ( cons(skac3,skaf77(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf77(X0)))
| ~ ssList(cons(skac3,skaf77(X0))) ),
inference(superposition,[status(thm)],[c_76080,c_407]) ).
tcf(c_77532,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf77(X0))))
| ( cons(skac3,skaf77(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf77(X0)))
| ~ ssList(cons(skac3,skaf77(X0))) ),
inference(superposition,[status(thm)],[c_76080,c_406]) ).
tcf(c_77548,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac3,iPr_def_12)))
| ( cons(skac3,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac3)
| ~ strictorderedP(cons(skac3,iPr_def_12))
| ~ ssList(cons(skac3,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_76109,c_407]) ).
tcf(c_77549,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac3,iPr_def_12)))
| ( cons(skac3,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac3)
| ~ totalorderedP(cons(skac3,iPr_def_12))
| ~ ssList(cons(skac3,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_76109,c_406]) ).
tcf(c_77565,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac3,iPr_def_15)))
| ( cons(skac3,iPr_def_15) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac3)
| ~ strictorderedP(cons(skac3,iPr_def_15))
| ~ ssList(cons(skac3,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_76110,c_407]) ).
tcf(c_77566,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac3,iPr_def_15)))
| ( cons(skac3,iPr_def_15) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac3)
| ~ totalorderedP(cons(skac3,iPr_def_15))
| ~ ssList(cons(skac3,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_76110,c_406]) ).
tcf(c_77582,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac3,iPr_def_14)))
| ( cons(skac3,iPr_def_14) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac3)
| ~ strictorderedP(cons(skac3,iPr_def_14))
| ~ ssList(cons(skac3,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_76111,c_407]) ).
tcf(c_77583,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac3,iPr_def_14)))
| ( cons(skac3,iPr_def_14) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac3)
| ~ totalorderedP(cons(skac3,iPr_def_14))
| ~ ssList(cons(skac3,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_76111,c_406]) ).
tcf(c_77599,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf76(X0))))
| ( cons(skac3,skaf76(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf76(X0)))
| ~ ssList(cons(skac3,skaf76(X0))) ),
inference(superposition,[status(thm)],[c_76081,c_407]) ).
tcf(c_77600,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf76(X0))))
| ( cons(skac3,skaf76(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf76(X0)))
| ~ ssList(cons(skac3,skaf76(X0))) ),
inference(superposition,[status(thm)],[c_76081,c_406]) ).
tcf(c_77715,plain,
! [X0: $i] :
( segmentP(cons(sk5,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_64867,c_66437]) ).
tcf(c_77716,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X2)
| ~ ssList(app(cons(sk5,sk4),X1))
| ~ segmentP(X0,app(cons(sk5,sk4),X1)) ),
inference(superposition,[status(thm)],[c_66437,c_399]) ).
tcf(c_77717,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf47(app(cons(sk5,sk4),X0),X1),X1),skaf48(X1,app(cons(sk5,sk4),X0))) = app(cons(sk5,sk4),X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(superposition,[status(thm)],[c_66437,c_415]) ).
tcf(c_77718,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sk5,sk4),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(app(cons(sk5,sk4),X1))
| ~ segmentP(X0,app(cons(sk5,sk4),X1)) ),
inference(superposition,[status(thm)],[c_66437,c_374]) ).
tcf(c_77719,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(iPr_def_13)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(superposition,[status(thm)],[c_66437,c_27069]) ).
tcf(c_77720,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk8)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(superposition,[status(thm)],[c_66437,c_28549]) ).
tcf(c_77721,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(superposition,[status(thm)],[c_66437,c_27097]) ).
tcf(c_77722,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(superposition,[status(thm)],[c_66437,c_27109]) ).
tcf(c_77724,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_66437,c_69982]) ).
tcf(c_77725,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_66437,c_70505]) ).
tcf(c_77726,plain,
! [X0: $i] :
( segmentP(cons(sk5,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77715,c_6486]) ).
tcf(c_77730,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77722,c_24748]) ).
tcf(c_77735,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77721,c_9020]) ).
tcf(c_77740,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk8)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77720,c_9020]) ).
tcf(c_77745,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77719,c_9527]) ).
tcf(c_77757,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77725,c_68959]) ).
tcf(c_77762,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77724,c_68529]) ).
tcf(c_77871,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(X0,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_77726,c_399]) ).
tcf(c_77872,plain,
! [X0: $i] :
( ( app(app(skaf47(cons(sk5,app(sk4,sk4)),X0),X0),skaf48(X0,cons(sk5,app(sk4,sk4)))) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_77726,c_415]) ).
tcf(c_77873,plain,
! [X0: $i] :
( ( cons(sk5,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(X0,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_77726,c_374]) ).
tcf(c_77874,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_77726,c_27069]) ).
tcf(c_77875,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_77726,c_28549]) ).
tcf(c_77876,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_77726,c_27097]) ).
tcf(c_77877,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_77726,c_27109]) ).
tcf(c_77879,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_77726,c_69982]) ).
tcf(c_77880,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk8)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_77726,c_70505]) ).
tcf(c_77881,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77877,c_24748,c_66447]) ).
tcf(c_77884,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77876,c_9020,c_66447]) ).
tcf(c_77887,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77875,c_9020,c_66447]) ).
tcf(c_77890,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77874,c_9527,c_66447]) ).
tcf(c_77893,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ segmentP(X0,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77871,c_66447]) ).
tcf(c_77899,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77880,c_68959,c_66447]) ).
tcf(c_77902,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77879,c_68529,c_66447]) ).
tcf(c_77905,plain,
! [X0: $i] :
( ( cons(sk5,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(X0,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77873,c_66447]) ).
tcf(c_77910,plain,
! [X0: $i] :
( ( app(app(skaf47(cons(sk5,app(sk4,sk4)),X0),X0),skaf48(X0,cons(sk5,app(sk4,sk4)))) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77872,c_66447]) ).
tcf(c_77922,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(app(cons(sk5,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_64867,c_66443]) ).
tcf(c_77923,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X1))
| ~ segmentP(X0,app(cons(sk5,sk4),X1)) ),
inference(superposition,[status(thm)],[c_66443,c_399]) ).
tcf(c_77924,plain,
! [X0: $i] :
( ( app(app(skaf47(app(cons(sk5,sk4),X0),sk4),sk4),skaf48(sk4,app(cons(sk5,sk4),X0))) = app(cons(sk5,sk4),X0) )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(superposition,[status(thm)],[c_66443,c_415]) ).
tcf(c_77925,plain,
! [X0: $i] :
( ( app(cons(sk5,sk4),X0) = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,app(cons(sk5,sk4),X0)) ),
inference(superposition,[status(thm)],[c_66443,c_374]) ).
tcf(c_77926,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk4)
| ~ ssList(sk4)
| ~ ssList(cons(sk5,app(sk4,sk4))) ),
inference(light_normalisation,[status(thm)],[c_77922,c_64867]) ).
tcf(c_77927,plain,
segmentP(cons(sk5,app(sk4,sk4)),sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_77926,c_6486,c_66447]) ).
tcf(c_77928,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X1))
| ~ segmentP(X0,app(cons(sk5,sk4),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77923,c_6486]) ).
tcf(c_77934,plain,
! [X0: $i] :
( ( app(cons(sk5,sk4),X0) = sk4 )
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,app(cons(sk5,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77925,c_6486]) ).
tcf(c_77939,plain,
! [X0: $i] :
( ( app(app(skaf47(app(cons(sk5,sk4),X0),sk4),sk4),skaf48(sk4,app(cons(sk5,sk4),X0))) = app(cons(sk5,sk4),X0) )
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77924,c_6486]) ).
tcf(c_77946,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(X0,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_77927,c_399]) ).
tcf(c_77947,plain,
( ( app(app(skaf47(cons(sk5,app(sk4,sk4)),sk4),sk4),skaf48(sk4,cons(sk5,app(sk4,sk4)))) = cons(sk5,app(sk4,sk4)) )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_77927,c_415]) ).
tcf(c_77948,plain,
( ( cons(sk5,app(sk4,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk4,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_77927,c_374]) ).
tcf(c_77949,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(X0)
| ~ segmentP(X0,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77946,c_6486,c_66447]) ).
tcf(c_77953,plain,
( ( cons(sk5,app(sk4,sk4)) = sk4 )
| ~ segmentP(sk4,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77948,c_6486,c_66447]) ).
tcf(c_77956,plain,
app(app(skaf47(cons(sk5,app(sk4,sk4)),sk4),sk4),skaf48(sk4,cons(sk5,app(sk4,sk4)))) = cons(sk5,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_77947,c_6486,c_66447]) ).
tcf(c_77965,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk4)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_419,c_77949]) ).
tcf(c_77966,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,cons(sk5,app(sk4,sk4))),X1),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ ssList(app(app(X0,cons(sk5,app(sk4,sk4))),X1)) ),
inference(superposition,[status(thm)],[c_420,c_77949]) ).
tcf(c_77967,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(iPr_def_12,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20331,c_77949]) ).
tcf(c_77968,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20339,c_77949]) ).
tcf(c_77971,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(nil,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20310,c_77949]) ).
tcf(c_77972,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20290,c_77949]) ).
tcf(c_77973,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(nil,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20305,c_77949]) ).
tcf(c_77974,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20285,c_77949]) ).
tcf(c_77975,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_36763,c_77949]) ).
tcf(c_77976,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_36958,c_77949]) ).
tcf(c_77977,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_37047,c_77949]) ).
tcf(c_77987,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk4)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_46269,c_77949]) ).
tcf(c_77988,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk4)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_46627,c_77949]) ).
tcf(c_77989,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk4)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_46935,c_77949]) ).
tcf(c_77990,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk4)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_49501,c_77949]) ).
tcf(c_77991,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk4)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_50076,c_77949]) ).
tcf(c_77992,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk4)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_50639,c_77949]) ).
tcf(c_77993,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk4)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_52483,c_77949]) ).
tcf(c_77994,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk4)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_53190,c_77949]) ).
tcf(c_77995,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk4)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_53742,c_77949]) ).
tcf(c_77996,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk4)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_57364,c_77949]) ).
tcf(c_77997,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk4)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_57774,c_77949]) ).
tcf(c_77998,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk4)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_58149,c_77949]) ).
tcf(c_77999,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk4)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_59837,c_77949]) ).
tcf(c_78000,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk4)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_60305,c_77949]) ).
tcf(c_78001,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk4)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_60713,c_77949]) ).
tcf(c_78002,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk4)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_62324,c_77949]) ).
tcf(c_78003,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk4)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_62735,c_77949]) ).
tcf(c_78004,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk4)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_63072,c_77949]) ).
tcf(c_78005,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_66437,c_77949]) ).
tcf(c_78007,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk4)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68531,c_77949]) ).
tcf(c_78008,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk4)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68961,c_77949]) ).
tcf(c_78010,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77974,c_66447]) ).
tcf(c_78015,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(nil,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77973,c_66447]) ).
tcf(c_78020,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77972,c_66447]) ).
tcf(c_78025,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(nil,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77971,c_66447]) ).
tcf(c_78030,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77968,c_66447]) ).
tcf(c_78035,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(iPr_def_12,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77967,c_66447]) ).
tcf(c_78040,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk4)
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78008,c_68959,c_66447]) ).
tcf(c_78043,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk4)
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78007,c_68529,c_66447]) ).
tcf(c_78046,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk4)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78004,c_66447]) ).
tcf(c_78050,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk4)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78003,c_66447]) ).
tcf(c_78054,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk4)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78002,c_66447]) ).
tcf(c_78058,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk4)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78001,c_66447]) ).
tcf(c_78062,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk4)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78000,c_66447]) ).
tcf(c_78066,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk4)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77999,c_66447]) ).
tcf(c_78070,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk4)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77998,c_66447]) ).
tcf(c_78074,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk4)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77997,c_66447]) ).
tcf(c_78078,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk4)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77996,c_66447]) ).
tcf(c_78082,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk4)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77995,c_66447]) ).
tcf(c_78086,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk4)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77994,c_66447]) ).
tcf(c_78090,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk4)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77993,c_66447]) ).
tcf(c_78094,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk4)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77992,c_66447]) ).
tcf(c_78098,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk4)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77991,c_66447]) ).
tcf(c_78102,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk4)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77990,c_66447]) ).
tcf(c_78106,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk4)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77989,c_66447]) ).
tcf(c_78110,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk4)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77988,c_66447]) ).
tcf(c_78114,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk4)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77987,c_66447]) ).
tcf(c_78119,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77977,c_66447]) ).
tcf(c_78124,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77976,c_66447]) ).
tcf(c_78130,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,cons(sk5,app(sk4,sk4))),X1),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(sk5,app(sk4,sk4))),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77966,c_66447]) ).
tcf(c_78135,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk4)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77965,c_66447]) ).
tcf(c_78301,plain,
~ segmentP(sk4,cons(sk5,app(sk4,sk4))),
inference(global_subsumption_just,[status(thm)],[c_77953,c_65157,c_66402,c_66407,c_77953]) ).
tcf(c_78313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf72(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf72(X1)))
| ~ ssList(tl(skaf72(X1)))
| ~ leq(X2,hd(skaf72(X1)))
| ~ leq(hd(skaf72(X1)),X2)
| ~ ssList(app(app(X0,skaf72(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf72(X1)),tl(skaf72(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10777,c_432]) ).
tcf(c_78314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf72(X1)))
| leq(hd(skaf72(X1)),X2)
| ( skaf72(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf72(X1)))
| ~ ssList(tl(skaf72(X1)))
| ~ ssList(app(app(X0,skaf72(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf72(X1)),tl(skaf72(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10777,c_431]) ).
tcf(c_78315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf72(X1)))
| lt(hd(skaf72(X1)),X2)
| ( skaf72(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf72(X1)))
| ~ ssList(tl(skaf72(X1)))
| ~ ssList(app(app(X0,skaf72(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf72(X1)),tl(skaf72(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10777,c_430]) ).
tcf(c_78316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf72(X1)),X2)
| ( skaf72(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf72(X1)))
| ~ ssList(tl(skaf72(X1)))
| ~ ssList(app(app(X0,skaf72(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf72(X1)),tl(skaf72(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10777,c_429]) ).
tcf(c_78317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf72(X1)),X2)
| ( skaf72(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf72(X1)))
| ~ ssList(tl(skaf72(X1)))
| ~ ssList(app(app(X0,skaf72(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf72(X1)),tl(skaf72(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10777,c_428]) ).
tcf(c_78318,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf72(X1)))
| ~ ssList(tl(skaf72(X1)))
| ~ ssList(app(app(X0,skaf72(X1)),cons(hd(skaf72(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf72(X1)),tl(skaf72(X1)))),cons(hd(skaf72(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10777,c_426]) ).
tcf(c_78319,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf72(X1)),hd(skaf72(X1)))
| ( skaf72(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf72(X1)))
| ~ ssList(tl(skaf72(X1)))
| ~ ssList(app(X0,cons(hd(skaf72(X1)),tl(skaf72(X1))))) ),
inference(superposition,[status(thm)],[c_10777,c_422]) ).
tcf(c_78320,plain,
! [X0: $i] :
( memberP(skaf72(X0),hd(skaf72(X0)))
| ( skaf72(X0) = nil )
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10777,c_385]) ).
tcf(c_78322,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( tl(skaf72(X0)) = nil )
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0)))
| ( skaf72(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10777,c_21847]) ).
tcf(c_78323,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( tl(skaf72(X0)) = nil )
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0)))
| ( skaf72(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10777,c_21842]) ).
tcf(c_78324,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( hd(skaf72(X0)) = sk5 )
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0)))
| ( skaf72(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10777,c_21750]) ).
tcf(c_78325,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( hd(skaf72(X0)) = sk6 )
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0)))
| ( skaf72(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10777,c_21745]) ).
tcf(c_78326,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( hd(skaf72(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf72(X0))
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10777,c_21595]) ).
tcf(c_78327,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( hd(skaf72(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf72(X0))
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10777,c_21590]) ).
tcf(c_78328,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( hd(skaf72(X0)) = sk5 )
| ~ frontsegP(skaf72(X0),iPr_def_12)
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10777,c_21585]) ).
tcf(c_78329,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( hd(skaf72(X0)) = sk6 )
| ~ frontsegP(skaf72(X0),iPr_def_14)
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10777,c_21580]) ).
tcf(c_78330,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf72(X0)))
| ( skaf72(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf72(X0))
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10777,c_21202]) ).
tcf(c_78331,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf72(X0)))
| ( skaf72(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf72(X0))
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10777,c_21197]) ).
tcf(c_78334,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X0) = nil )
| ( hd(skaf72(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0)))
| ~ frontsegP(skaf72(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10777,c_423]) ).
tcf(c_78335,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf72(X0)),X2)
| ( skaf72(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0)))
| ~ frontsegP(skaf72(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10777,c_421]) ).
tcf(c_78336,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf72(X0)),X1)
| ( skaf72(X0) = nil )
| ( hd(skaf72(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0)))
| ~ memberP(skaf72(X0),X1) ),
inference(superposition,[status(thm)],[c_10777,c_408]) ).
tcf(c_78337,plain,
! [X0: $i] :
( leq(hd(skaf72(X0)),hd(tl(skaf72(X0))))
| ( skaf72(X0) = nil )
| ( tl(skaf72(X0)) = nil )
| ~ totalorderedP(skaf72(X0))
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10777,c_382]) ).
tcf(c_78338,plain,
! [X0: $i] :
( lt(hd(skaf72(X0)),hd(tl(skaf72(X0))))
| ( skaf72(X0) = nil )
| ( tl(skaf72(X0)) = nil )
| ~ strictorderedP(skaf72(X0))
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10777,c_381]) ).
tcf(c_78339,plain,
! [X0: $i] :
( totalorderedP(tl(skaf72(X0)))
| ( skaf72(X0) = nil )
| ( tl(skaf72(X0)) = nil )
| ~ totalorderedP(skaf72(X0))
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10777,c_372]) ).
tcf(c_78340,plain,
! [X0: $i] :
( strictorderedP(tl(skaf72(X0)))
| ( skaf72(X0) = nil )
| ( tl(skaf72(X0)) = nil )
| ~ strictorderedP(skaf72(X0))
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10777,c_371]) ).
tcf(c_78341,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0)))
| ( tl(skaf72(X0)) != skaf72(X0) ) ),
inference(superposition,[status(thm)],[c_10777,c_346]) ).
tcf(c_78343,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf72(X1)),X0),skaf72(X1))
| ( skaf72(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf72(X1)))
| ~ ssList(tl(skaf72(X1)))
| ~ frontsegP(X0,tl(skaf72(X1))) ),
inference(superposition,[status(thm)],[c_10777,c_425]) ).
tcf(c_78344,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X2) = nil )
| ( hd(skaf72(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf72(X2)))
| ~ ssList(tl(skaf72(X2)))
| ~ ssList(app(X0,cons(X1,skaf72(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf72(X2)),tl(skaf72(X2)))))) ),
inference(superposition,[status(thm)],[c_10777,c_427]) ).
tcf(c_78345,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X2) = nil )
| ( tl(skaf72(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf72(X2)))
| ~ ssList(tl(skaf72(X2)))
| ( cons(X0,X1) != skaf72(X2) ) ),
inference(superposition,[status(thm)],[c_10777,c_418]) ).
tcf(c_78346,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X2) = nil )
| ( hd(skaf72(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf72(X2)))
| ~ ssList(tl(skaf72(X2)))
| ( cons(X0,X1) != skaf72(X2) ) ),
inference(superposition,[status(thm)],[c_10777,c_417]) ).
tcf(c_78347,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X2) = nil )
| ( hd(skaf72(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf72(X2)))
| ~ ssList(tl(skaf72(X2)))
| ~ frontsegP(cons(X0,X1),skaf72(X2)) ),
inference(superposition,[status(thm)],[c_10777,c_423]) ).
tcf(c_78348,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf72(X2)))
| ( skaf72(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf72(X2)))
| ~ ssList(tl(skaf72(X2)))
| ~ frontsegP(cons(X0,X1),skaf72(X2)) ),
inference(superposition,[status(thm)],[c_10777,c_421]) ).
tcf(c_78349,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf72(X0),cons(hd(skaf72(X0)),X1))
| ( skaf72(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0)))
| ~ frontsegP(tl(skaf72(X0)),X1) ),
inference(superposition,[status(thm)],[c_10777,c_425]) ).
tcf(c_78350,plain,
! [X0: $i,X1: $i] :
( memberP(skaf72(X0),X1)
| ( skaf72(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf72(X0)))
| ~ ssList(tl(skaf72(X0)))
| ~ memberP(tl(skaf72(X0)),X1) ),
inference(superposition,[status(thm)],[c_10777,c_386]) ).
tcf(c_78351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf72(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf72(X3)))
| ~ ssList(tl(skaf72(X3)))
| ~ leq(X1,hd(skaf72(X3)))
| ~ leq(hd(skaf72(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf72(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf72(X3)),tl(skaf72(X3))))) ),
inference(superposition,[status(thm)],[c_10777,c_432]) ).
tcf(c_78352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf72(X3)))
| leq(hd(skaf72(X3)),X1)
| ( skaf72(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf72(X3)))
| ~ ssList(tl(skaf72(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf72(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf72(X3)),tl(skaf72(X3))))) ),
inference(superposition,[status(thm)],[c_10777,c_431]) ).
tcf(c_78353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf72(X3)))
| lt(hd(skaf72(X3)),X1)
| ( skaf72(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf72(X3)))
| ~ ssList(tl(skaf72(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf72(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf72(X3)),tl(skaf72(X3))))) ),
inference(superposition,[status(thm)],[c_10777,c_430]) ).
tcf(c_78354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf72(X3)))
| ( skaf72(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf72(X3)))
| ~ ssList(tl(skaf72(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf72(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf72(X3)),tl(skaf72(X3))))) ),
inference(superposition,[status(thm)],[c_10777,c_429]) ).
tcf(c_78355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf72(X3)))
| ( skaf72(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf72(X3)))
| ~ ssList(tl(skaf72(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf72(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf72(X3)),tl(skaf72(X3))))) ),
inference(superposition,[status(thm)],[c_10777,c_428]) ).
tcf(c_78356,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf72(X1)))
| ~ ssList(tl(skaf72(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf72(X1)),X2)),skaf72(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf72(X1)),X2)),cons(hd(skaf72(X1)),tl(skaf72(X1))))) ),
inference(superposition,[status(thm)],[c_10777,c_426]) ).
tcf(c_78814,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf75(X0))))
| ( cons(skac3,skaf75(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf75(X0)))
| ~ ssList(cons(skac3,skaf75(X0))) ),
inference(superposition,[status(thm)],[c_76082,c_407]) ).
tcf(c_78815,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf75(X0))))
| ( cons(skac3,skaf75(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf75(X0)))
| ~ ssList(cons(skac3,skaf75(X0))) ),
inference(superposition,[status(thm)],[c_76082,c_406]) ).
tcf(c_78831,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf73(X0))))
| ( cons(skac3,skaf73(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf73(X0)))
| ~ ssList(cons(skac3,skaf73(X0))) ),
inference(superposition,[status(thm)],[c_76083,c_407]) ).
tcf(c_78832,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf73(X0))))
| ( cons(skac3,skaf73(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf73(X0)))
| ~ ssList(cons(skac3,skaf73(X0))) ),
inference(superposition,[status(thm)],[c_76083,c_406]) ).
tcf(c_78848,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf72(X0))))
| ( cons(skac3,skaf72(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf72(X0)))
| ~ ssList(cons(skac3,skaf72(X0))) ),
inference(superposition,[status(thm)],[c_76084,c_407]) ).
tcf(c_78849,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf72(X0))))
| ( cons(skac3,skaf72(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf72(X0)))
| ~ ssList(cons(skac3,skaf72(X0))) ),
inference(superposition,[status(thm)],[c_76084,c_406]) ).
tcf(c_78865,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf71(X0))))
| ( cons(skac3,skaf71(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf71(X0)))
| ~ ssList(cons(skac3,skaf71(X0))) ),
inference(superposition,[status(thm)],[c_76085,c_407]) ).
tcf(c_78866,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf71(X0))))
| ( cons(skac3,skaf71(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf71(X0)))
| ~ ssList(cons(skac3,skaf71(X0))) ),
inference(superposition,[status(thm)],[c_76085,c_406]) ).
tcf(c_78882,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf68(X0))))
| ( cons(skac3,skaf68(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf68(X0)))
| ~ ssList(cons(skac3,skaf68(X0))) ),
inference(superposition,[status(thm)],[c_76086,c_407]) ).
tcf(c_78883,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf68(X0))))
| ( cons(skac3,skaf68(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf68(X0)))
| ~ ssList(cons(skac3,skaf68(X0))) ),
inference(superposition,[status(thm)],[c_76086,c_406]) ).
tcf(c_79075,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf67(X0))))
| ( cons(skac3,skaf67(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf67(X0)))
| ~ ssList(cons(skac3,skaf67(X0))) ),
inference(superposition,[status(thm)],[c_76087,c_407]) ).
tcf(c_79076,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf67(X0))))
| ( cons(skac3,skaf67(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf67(X0)))
| ~ ssList(cons(skac3,skaf67(X0))) ),
inference(superposition,[status(thm)],[c_76087,c_406]) ).
tcf(c_79092,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf66(X0))))
| ( cons(skac3,skaf66(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf66(X0)))
| ~ ssList(cons(skac3,skaf66(X0))) ),
inference(superposition,[status(thm)],[c_76088,c_407]) ).
tcf(c_79093,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf66(X0))))
| ( cons(skac3,skaf66(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf66(X0)))
| ~ ssList(cons(skac3,skaf66(X0))) ),
inference(superposition,[status(thm)],[c_76088,c_406]) ).
tcf(c_79109,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf63(X0))))
| ( cons(skac3,skaf63(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf63(X0)))
| ~ ssList(cons(skac3,skaf63(X0))) ),
inference(superposition,[status(thm)],[c_76089,c_407]) ).
tcf(c_79110,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf63(X0))))
| ( cons(skac3,skaf63(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf63(X0)))
| ~ ssList(cons(skac3,skaf63(X0))) ),
inference(superposition,[status(thm)],[c_76089,c_406]) ).
tcf(c_79130,plain,
( ( app(sk4,skaf45(app(sk4,sk4),sk4)) = app(sk4,sk4) )
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_332,c_67360]) ).
tcf(c_79131,plain,
app(sk4,skaf45(app(sk4,sk4),sk4)) = app(sk4,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_79130,c_6486]) ).
tcf(c_79133,plain,
( ssList(app(sk4,sk4))
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_79131,c_332]) ).
tcf(c_79134,plain,
! [X0: $i] :
( segmentP(app(app(sk4,sk4),X0),skaf45(app(sk4,sk4),sk4))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,sk4),sk4))
| ~ ssList(app(app(sk4,skaf45(app(sk4,sk4),sk4)),X0)) ),
inference(superposition,[status(thm)],[c_79131,c_420]) ).
tcf(c_79135,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,sk4),sk4))
| ( app(X0,skaf45(app(sk4,sk4),sk4)) != app(sk4,sk4) ) ),
inference(superposition,[status(thm)],[c_79131,c_398]) ).
tcf(c_79137,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf45(app(sk4,sk4),sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(app(sk4,sk4),X0)
| ~ ssList(skaf45(app(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_79131,c_405]) ).
tcf(c_79138,plain,
( ( skaf45(app(sk4,sk4),sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,sk4),sk4))
| ( app(sk4,sk4) != nil ) ),
inference(superposition,[status(thm)],[c_79131,c_366]) ).
tcf(c_79139,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,sk4),sk4))
| ( app(sk4,sk4) != nil ) ),
inference(superposition,[status(thm)],[c_79131,c_365]) ).
tcf(c_79140,plain,
( frontsegP(app(sk4,sk4),sk4)
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_79131,c_808]) ).
tcf(c_79141,plain,
( rearsegP(app(sk4,sk4),skaf45(app(sk4,sk4),sk4))
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_79131,c_807]) ).
tcf(c_79142,plain,
! [X0: $i] :
( memberP(app(sk4,sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(skaf45(app(sk4,sk4),sk4))
| ~ memberP(skaf45(app(sk4,sk4),sk4),X0) ),
inference(superposition,[status(thm)],[c_79131,c_388]) ).
tcf(c_79143,plain,
! [X0: $i] :
( rearsegP(app(sk4,sk4),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,sk4),sk4))
| ~ rearsegP(skaf45(app(sk4,sk4),sk4),X0) ),
inference(superposition,[status(thm)],[c_79131,c_383]) ).
tcf(c_79144,plain,
! [X0: $i] :
( ( skaf45(app(sk4,sk4),sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,sk4),sk4))
| ( app(sk4,X0) != app(sk4,sk4) ) ),
inference(superposition,[status(thm)],[c_79131,c_397]) ).
tcf(c_79145,plain,
! [X0: $i] :
( memberP(app(sk4,sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(skaf45(app(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_79131,c_387]) ).
tcf(c_79146,plain,
! [X0: $i] :
( frontsegP(app(sk4,sk4),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(skaf45(app(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_79131,c_384]) ).
tcf(c_79147,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,sk4),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,sk4),sk4))
| ~ segmentP(skaf45(app(sk4,sk4),sk4),X0) ),
inference(superposition,[status(thm)],[c_79131,c_419]) ).
tcf(c_79148,plain,
( ( skaf45(app(sk4,sk4),sk4) = nil )
| ~ ssList(skaf45(app(sk4,sk4),sk4))
| ( app(sk4,sk4) != sk4 ) ),
inference(superposition,[status(thm)],[c_79131,c_17078]) ).
tcf(c_79149,plain,
( segmentP(app(sk4,sk4),sk4)
| ~ ssList(skaf45(app(sk4,sk4),sk4))
| ~ ssList(app(sk4,skaf45(app(sk4,sk4),sk4))) ),
inference(superposition,[status(thm)],[c_79131,c_20774]) ).
tcf(c_79150,plain,
! [X0: $i] :
( segmentP(app(sk4,sk4),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(skaf45(app(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_79131,c_20315]) ).
tcf(c_79151,plain,
! [X0: $i] :
( segmentP(app(sk4,sk4),X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(skaf45(app(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_79131,c_20295]) ).
tcf(c_79152,plain,
ssList(app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_79133,c_6486,c_298]) ).
tcf(c_79153,plain,
frontsegP(app(sk4,sk4),sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_79140,c_6486,c_298]) ).
tcf(c_79154,plain,
! [X0: $i] :
( segmentP(app(sk4,sk4),X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79151,c_298]) ).
tcf(c_79158,plain,
! [X0: $i] :
( segmentP(app(sk4,sk4),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79150,c_298]) ).
tcf(c_79162,plain,
rearsegP(app(sk4,sk4),skaf45(app(sk4,sk4),sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_79141,c_6486,c_298]) ).
tcf(c_79163,plain,
( segmentP(app(sk4,sk4),sk4)
| ~ ssList(app(sk4,sk4))
| ~ ssList(skaf45(app(sk4,sk4),sk4)) ),
inference(light_normalisation,[status(thm)],[c_79149,c_79131]) ).
tcf(c_79164,plain,
( segmentP(app(sk4,sk4),sk4)
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79163,c_298]) ).
tcf(c_79167,plain,
( ( sk4 = nil )
| ( app(sk4,sk4) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79139,c_6486,c_298]) ).
tcf(c_79170,plain,
( ( skaf45(app(sk4,sk4),sk4) = nil )
| ( app(sk4,sk4) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79148,c_298]) ).
tcf(c_79173,plain,
! [X0: $i] :
( frontsegP(app(sk4,sk4),X0)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79146,c_6486,c_298]) ).
tcf(c_79177,plain,
! [X0: $i] :
( memberP(app(sk4,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79145,c_6486,c_298]) ).
tcf(c_79181,plain,
( ( skaf45(app(sk4,sk4),sk4) = nil )
| ( app(sk4,sk4) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79138,c_6486,c_298]) ).
tcf(c_79184,plain,
! [X0: $i] :
( rearsegP(app(sk4,sk4),X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(app(sk4,sk4),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79143,c_6486,c_298]) ).
tcf(c_79188,plain,
! [X0: $i] :
( memberP(app(sk4,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(app(sk4,sk4),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79142,c_6486,c_298]) ).
tcf(c_79192,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf45(app(sk4,sk4),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk4,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79137,c_6486,c_298]) ).
tcf(c_79197,plain,
! [X0: $i] :
( ( skaf45(app(sk4,sk4),sk4) = X0 )
| ~ ssList(X0)
| ( app(sk4,X0) != app(sk4,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79144,c_6486,c_298]) ).
tcf(c_79201,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(X0,skaf45(app(sk4,sk4),sk4)) != app(sk4,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79135,c_6486,c_298]) ).
tcf(c_79205,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,sk4),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(app(sk4,sk4),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79147,c_6486,c_298]) ).
tcf(c_79210,plain,
! [X0: $i] :
( segmentP(app(app(sk4,sk4),X0),skaf45(app(sk4,sk4),sk4))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,sk4),sk4))
| ~ ssList(app(app(sk4,sk4),X0)) ),
inference(light_normalisation,[status(thm)],[c_79134,c_79131]) ).
tcf(c_79211,plain,
! [X0: $i] :
( segmentP(app(app(sk4,sk4),X0),skaf45(app(sk4,sk4),sk4))
| ~ ssList(X0)
| ~ ssList(app(app(sk4,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79210,c_6486,c_298]) ).
tcf(c_79215,plain,
~ frontsegP(cons(sk6,sk4),iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_72769,c_79152]) ).
tcf(c_79216,plain,
( ( app(sk4,sk4) = sk4 )
| ~ frontsegP(sk4,app(sk4,sk4)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_67356,c_79152]) ).
tcf(c_79218,plain,
frontsegP(app(sk4,app(sk4,sk8)),app(sk4,sk4)),
inference(backward_subsumption_resolution,[status(thm)],[c_39409,c_79152]) ).
tcf(c_79219,plain,
rearsegP(app(sk4,app(sk4,sk8)),sk8),
inference(backward_subsumption_resolution,[status(thm)],[c_39406,c_79152]) ).
tcf(c_79220,plain,
ssList(app(sk4,app(sk4,sk8))),
inference(backward_subsumption_resolution,[status(thm)],[c_39403,c_79152]) ).
tcf(c_79221,plain,
frontsegP(app(sk4,app(sk4,sk7)),app(sk4,sk4)),
inference(backward_subsumption_resolution,[status(thm)],[c_38759,c_79152]) ).
tcf(c_79222,plain,
rearsegP(app(sk4,app(sk4,sk7)),sk7),
inference(backward_subsumption_resolution,[status(thm)],[c_38756,c_79152]) ).
tcf(c_79223,plain,
ssList(app(sk4,app(sk4,sk7))),
inference(backward_subsumption_resolution,[status(thm)],[c_38753,c_79152]) ).
tcf(c_79224,plain,
frontsegP(app(sk4,app(sk4,sk4)),app(sk4,sk4)),
inference(backward_subsumption_resolution,[status(thm)],[c_38400,c_79152]) ).
tcf(c_79225,plain,
rearsegP(app(sk4,app(sk4,sk4)),sk4),
inference(backward_subsumption_resolution,[status(thm)],[c_38389,c_79152]) ).
tcf(c_79226,plain,
ssList(app(sk4,app(sk4,sk4))),
inference(backward_subsumption_resolution,[status(thm)],[c_38386,c_79152]) ).
tcf(c_79229,plain,
segmentP(app(sk4,app(sk4,sk8)),sk4),
inference(backward_subsumption_resolution,[status(thm)],[c_39416,c_79220]) ).
tcf(c_79230,plain,
segmentP(app(sk4,app(sk4,sk7)),sk4),
inference(backward_subsumption_resolution,[status(thm)],[c_38766,c_79223]) ).
tcf(c_79231,plain,
segmentP(app(sk4,app(sk4,sk4)),sk4),
inference(backward_subsumption_resolution,[status(thm)],[c_38393,c_79226]) ).
tcf(c_79243,plain,
! [X0: $i] :
( ( app(app(app(sk4,sk4),sk8),X0) = app(app(sk4,sk4),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79152,c_16217]) ).
tcf(c_79244,plain,
! [X0: $i] :
( ( app(app(app(sk4,sk4),sk7),X0) = app(app(sk4,sk4),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79152,c_16216]) ).
tcf(c_79245,plain,
! [X0: $i] :
( ( app(app(app(sk4,sk4),sk4),X0) = app(app(sk4,sk4),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79152,c_16215]) ).
tcf(c_79246,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk4,sk4))) = app(cons(X1,X0),app(sk4,sk4)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79152,c_404]) ).
tcf(c_79247,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk4,sk4)),X0) = app(X1,app(app(sk4,sk4),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79152,c_396]) ).
tcf(c_79248,plain,
! [X0: $i] :
( ( app(sk4,sk4) = nil )
| ( app(tl(app(sk4,sk4)),X0) = tl(app(app(sk4,sk4),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79152,c_380]) ).
tcf(c_79249,plain,
! [X0: $i] :
( ( app(sk4,sk4) = nil )
| ( hd(app(app(sk4,sk4),X0)) = hd(app(sk4,sk4)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79152,c_370]) ).
tcf(c_79250,plain,
hd(cons(skac3,app(sk4,sk4))) = skac3,
inference(superposition,[status(thm)],[c_79152,c_10020]) ).
tcf(c_79251,plain,
tl(cons(skac2,app(sk4,sk4))) = app(sk4,sk4),
inference(superposition,[status(thm)],[c_79152,c_9891]) ).
tcf(c_79252,plain,
cons(sk6,app(app(sk4,sk4),sk4)) = app(cons(sk6,app(sk4,sk4)),sk4),
inference(superposition,[status(thm)],[c_79152,c_64778]) ).
tcf(c_79253,plain,
cons(sk5,app(app(sk4,sk4),sk4)) = app(cons(sk5,app(sk4,sk4)),sk4),
inference(superposition,[status(thm)],[c_79152,c_64777]) ).
tcf(c_79254,plain,
tl(cons(skac3,app(sk4,sk4))) = app(sk4,sk4),
inference(superposition,[status(thm)],[c_79152,c_9890]) ).
tcf(c_79255,plain,
app(app(sk8,sk8),app(sk4,sk4)) = app(sk8,app(sk8,app(sk4,sk4))),
inference(superposition,[status(thm)],[c_79152,c_56349]) ).
tcf(c_79256,plain,
app(app(sk7,sk8),app(sk4,sk4)) = app(sk7,app(sk8,app(sk4,sk4))),
inference(superposition,[status(thm)],[c_79152,c_56348]) ).
tcf(c_79257,plain,
app(app(sk4,sk8),app(sk4,sk4)) = app(sk4,app(sk8,app(sk4,sk4))),
inference(superposition,[status(thm)],[c_79152,c_56347]) ).
tcf(c_79258,plain,
app(app(sk8,sk7),app(sk4,sk4)) = app(sk8,app(sk7,app(sk4,sk4))),
inference(superposition,[status(thm)],[c_79152,c_45540]) ).
tcf(c_79259,plain,
app(app(sk7,sk7),app(sk4,sk4)) = app(sk7,app(sk7,app(sk4,sk4))),
inference(superposition,[status(thm)],[c_79152,c_45539]) ).
tcf(c_79260,plain,
app(app(sk4,sk7),app(sk4,sk4)) = app(sk4,app(sk7,app(sk4,sk4))),
inference(superposition,[status(thm)],[c_79152,c_45538]) ).
tcf(c_79261,plain,
app(app(sk8,sk4),app(sk4,sk4)) = app(sk8,app(sk4,app(sk4,sk4))),
inference(superposition,[status(thm)],[c_79152,c_37633]) ).
tcf(c_79262,plain,
app(app(sk7,sk4),app(sk4,sk4)) = app(sk7,app(sk4,app(sk4,sk4))),
inference(superposition,[status(thm)],[c_79152,c_37632]) ).
tcf(c_79263,plain,
app(app(sk4,sk4),app(sk4,sk4)) = app(sk4,app(sk4,app(sk4,sk4))),
inference(superposition,[status(thm)],[c_79152,c_37631]) ).
tcf(c_79264,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk4,sk4)) = tl(app(sk8,app(sk4,sk4))) ) ),
inference(superposition,[status(thm)],[c_79152,c_14611]) ).
tcf(c_79265,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk4,sk4)) = tl(app(sk7,app(sk4,sk4))) ) ),
inference(superposition,[status(thm)],[c_79152,c_14610]) ).
tcf(c_79266,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk4,sk4)) = tl(app(sk4,app(sk4,sk4))) ) ),
inference(superposition,[status(thm)],[c_79152,c_14609]) ).
tcf(c_79267,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk4,sk4))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_79152,c_11903]) ).
tcf(c_79268,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk4,sk4))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_79152,c_11902]) ).
tcf(c_79269,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk4,sk4))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_79152,c_11901]) ).
tcf(c_79270,plain,
( cyclefreeP(app(sk4,sk4))
| ( app(app(skaf51(app(sk4,sk4)),cons(skaf49(app(sk4,sk4)),skaf52(app(sk4,sk4)))),cons(skaf50(app(sk4,sk4)),skaf53(app(sk4,sk4)))) = app(sk4,sk4) ) ),
inference(superposition,[status(thm)],[c_79152,c_414]) ).
tcf(c_79271,plain,
( totalorderP(app(sk4,sk4))
| ( app(app(skaf56(app(sk4,sk4)),cons(skaf54(app(sk4,sk4)),skaf57(app(sk4,sk4)))),cons(skaf55(app(sk4,sk4)),skaf58(app(sk4,sk4)))) = app(sk4,sk4) ) ),
inference(superposition,[status(thm)],[c_79152,c_413]) ).
tcf(c_79272,plain,
( strictorderP(app(sk4,sk4))
| ( app(app(skaf61(app(sk4,sk4)),cons(skaf59(app(sk4,sk4)),skaf62(app(sk4,sk4)))),cons(skaf60(app(sk4,sk4)),skaf63(app(sk4,sk4)))) = app(sk4,sk4) ) ),
inference(superposition,[status(thm)],[c_79152,c_412]) ).
tcf(c_79273,plain,
( totalorderedP(app(sk4,sk4))
| ( app(app(skaf66(app(sk4,sk4)),cons(skaf64(app(sk4,sk4)),skaf67(app(sk4,sk4)))),cons(skaf65(app(sk4,sk4)),skaf68(app(sk4,sk4)))) = app(sk4,sk4) ) ),
inference(superposition,[status(thm)],[c_79152,c_411]) ).
tcf(c_79274,plain,
( strictorderedP(app(sk4,sk4))
| ( app(app(skaf71(app(sk4,sk4)),cons(skaf69(app(sk4,sk4)),skaf72(app(sk4,sk4)))),cons(skaf70(app(sk4,sk4)),skaf73(app(sk4,sk4)))) = app(sk4,sk4) ) ),
inference(superposition,[status(thm)],[c_79152,c_410]) ).
tcf(c_79275,plain,
( duplicatefreeP(app(sk4,sk4))
| ( app(app(skaf75(app(sk4,sk4)),cons(skaf74(app(sk4,sk4)),skaf76(app(sk4,sk4)))),cons(skaf74(app(sk4,sk4)),skaf77(app(sk4,sk4)))) = app(sk4,sk4) ) ),
inference(superposition,[status(thm)],[c_79152,c_409]) ).
tcf(c_79276,plain,
( equalelemsP(app(sk4,sk4))
| ( app(skaf80(app(sk4,sk4)),cons(skaf78(app(sk4,sk4)),cons(skaf79(app(sk4,sk4)),skaf81(app(sk4,sk4))))) = app(sk4,sk4) ) ),
inference(superposition,[status(thm)],[c_79152,c_389]) ).
tcf(c_79277,plain,
hd(cons(sk6,app(sk4,sk4))) = sk6,
inference(superposition,[status(thm)],[c_79152,c_10017]) ).
tcf(c_79278,plain,
( ( app(sk4,sk4) = nil )
| ( cons(skaf83(app(sk4,sk4)),skaf82(app(sk4,sk4))) = app(sk4,sk4) ) ),
inference(superposition,[status(thm)],[c_79152,c_356]) ).
tcf(c_79279,plain,
( ( app(sk4,sk4) = nil )
| ( cons(hd(app(sk4,sk4)),tl(app(sk4,sk4))) = app(sk4,sk4) ) ),
inference(superposition,[status(thm)],[c_79152,c_351]) ).
tcf(c_79280,plain,
hd(cons(sk5,app(sk4,sk4))) = sk5,
inference(superposition,[status(thm)],[c_79152,c_10016]) ).
tcf(c_79281,plain,
tl(cons(sk6,app(sk4,sk4))) = app(sk4,sk4),
inference(superposition,[status(thm)],[c_79152,c_9887]) ).
tcf(c_79282,plain,
tl(cons(sk5,app(sk4,sk4))) = app(sk4,sk4),
inference(superposition,[status(thm)],[c_79152,c_9886]) ).
tcf(c_79283,plain,
( duplicatefreeP(app(sk4,sk4))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_79152,c_6471]) ).
tcf(c_79284,plain,
app(nil,app(sk4,sk4)) = app(sk4,sk4),
inference(superposition,[status(thm)],[c_79152,c_321]) ).
tcf(c_79294,plain,
cons(sk5,app(sk4,app(sk4,sk4))) = app(cons(sk5,app(sk4,sk4)),sk4),
inference(light_normalisation,[status(thm)],[c_79253,c_37935]) ).
tcf(c_79295,plain,
cons(sk6,app(sk4,app(sk4,sk4))) = app(cons(sk6,app(sk4,sk4)),sk4),
inference(light_normalisation,[status(thm)],[c_79252,c_37935]) ).
tcf(c_79302,plain,
! [X0: $i] :
( ( app(app(sk4,app(sk4,sk4)),X0) = app(app(sk4,sk4),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_79245,c_37935]) ).
tcf(c_79305,plain,
! [X0: $i] :
( ( app(app(sk4,app(sk4,sk7)),X0) = app(app(sk4,sk4),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_79244,c_37936]) ).
tcf(c_79308,plain,
! [X0: $i] :
( ( app(app(sk4,app(sk4,sk8)),X0) = app(app(sk4,sk4),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_79243,c_37937]) ).
tcf(c_79661,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk4,sk4),sk4))
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ rearsegP(X0,app(sk4,sk4))
| ~ ssList(skaf45(app(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_79162,c_400]) ).
tcf(c_79662,plain,
( ( app(skaf46(app(sk4,sk4),skaf45(app(sk4,sk4),sk4)),skaf45(app(sk4,sk4),sk4)) = app(sk4,sk4) )
| ~ ssList(app(sk4,sk4))
| ~ ssList(skaf45(app(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_79162,c_378]) ).
tcf(c_79663,plain,
( ( skaf45(app(sk4,sk4),sk4) = app(sk4,sk4) )
| ~ ssList(app(sk4,sk4))
| ~ ssList(skaf45(app(sk4,sk4),sk4))
| ~ rearsegP(skaf45(app(sk4,sk4),sk4),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_79162,c_375]) ).
tcf(c_79664,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk4,sk4),sk4))
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79661,c_79152,c_298]) ).
tcf(c_79668,plain,
( ( skaf45(app(sk4,sk4),sk4) = app(sk4,sk4) )
| ~ rearsegP(skaf45(app(sk4,sk4),sk4),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79663,c_79152,c_298]) ).
tcf(c_79671,plain,
app(skaf46(app(sk4,sk4),skaf45(app(sk4,sk4),sk4)),skaf45(app(sk4,sk4),sk4)) = app(sk4,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_79662,c_79152,c_298]) ).
tcf(c_79683,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk4,X1)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_79173,c_401]) ).
tcf(c_79684,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk4,sk4),X0)) = app(sk4,sk4) )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_79173,c_379]) ).
tcf(c_79685,plain,
! [X0: $i] :
( ( app(sk4,sk4) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_79173,c_376]) ).
tcf(c_79686,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_79173,c_15594]) ).
tcf(c_79687,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_79173,c_28779]) ).
tcf(c_79688,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_79173,c_26336]) ).
tcf(c_79689,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_79173,c_75356]) ).
tcf(c_79690,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_79173,c_75336]) ).
tcf(c_79691,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_79173,c_75316]) ).
tcf(c_79692,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79688,c_9020,c_79152]) ).
tcf(c_79695,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79687,c_24748,c_79152]) ).
tcf(c_79698,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79686,c_9527,c_79152]) ).
tcf(c_79701,plain,
! [X0: $i] :
( ( app(sk4,sk4) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79685,c_79152]) ).
tcf(c_79706,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk4,sk4),X0)) = app(sk4,sk4) )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79684,c_79152]) ).
tcf(c_79710,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk4,X1)
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79683,c_79152]) ).
tcf(c_79716,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79691,c_79152,c_28942]) ).
tcf(c_79720,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79690,c_79152,c_28942]) ).
tcf(c_79724,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79689,c_79152,c_28942]) ).
tcf(c_79786,plain,
! [X0: $i] :
( ( app(skaf42(app(sk4,sk4),X0),cons(X0,skaf43(X0,app(sk4,sk4)))) = app(sk4,sk4) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_79177,c_416]) ).
tcf(c_79788,plain,
! [X0: $i] :
( ( app(skaf42(app(sk4,sk4),X0),cons(X0,skaf43(X0,app(sk4,sk4)))) = app(sk4,sk4) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79786,c_79152]) ).
tcf(c_79797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf71(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf71(X1)))
| ~ ssList(tl(skaf71(X1)))
| ~ leq(X2,hd(skaf71(X1)))
| ~ leq(hd(skaf71(X1)),X2)
| ~ ssList(app(app(X0,skaf71(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf71(X1)),tl(skaf71(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10778,c_432]) ).
tcf(c_79798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf71(X1)))
| leq(hd(skaf71(X1)),X2)
| ( skaf71(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf71(X1)))
| ~ ssList(tl(skaf71(X1)))
| ~ ssList(app(app(X0,skaf71(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf71(X1)),tl(skaf71(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10778,c_431]) ).
tcf(c_79799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf71(X1)))
| lt(hd(skaf71(X1)),X2)
| ( skaf71(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf71(X1)))
| ~ ssList(tl(skaf71(X1)))
| ~ ssList(app(app(X0,skaf71(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf71(X1)),tl(skaf71(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10778,c_430]) ).
tcf(c_79800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf71(X1)),X2)
| ( skaf71(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf71(X1)))
| ~ ssList(tl(skaf71(X1)))
| ~ ssList(app(app(X0,skaf71(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf71(X1)),tl(skaf71(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10778,c_429]) ).
tcf(c_79801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf71(X1)),X2)
| ( skaf71(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf71(X1)))
| ~ ssList(tl(skaf71(X1)))
| ~ ssList(app(app(X0,skaf71(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf71(X1)),tl(skaf71(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10778,c_428]) ).
tcf(c_79802,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf71(X1)))
| ~ ssList(tl(skaf71(X1)))
| ~ ssList(app(app(X0,skaf71(X1)),cons(hd(skaf71(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf71(X1)),tl(skaf71(X1)))),cons(hd(skaf71(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10778,c_426]) ).
tcf(c_79803,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf71(X1)),hd(skaf71(X1)))
| ( skaf71(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf71(X1)))
| ~ ssList(tl(skaf71(X1)))
| ~ ssList(app(X0,cons(hd(skaf71(X1)),tl(skaf71(X1))))) ),
inference(superposition,[status(thm)],[c_10778,c_422]) ).
tcf(c_79804,plain,
! [X0: $i] :
( memberP(skaf71(X0),hd(skaf71(X0)))
| ( skaf71(X0) = nil )
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10778,c_385]) ).
tcf(c_79806,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( tl(skaf71(X0)) = nil )
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0)))
| ( skaf71(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10778,c_21847]) ).
tcf(c_79807,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( tl(skaf71(X0)) = nil )
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0)))
| ( skaf71(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10778,c_21842]) ).
tcf(c_79808,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( hd(skaf71(X0)) = sk5 )
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0)))
| ( skaf71(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10778,c_21750]) ).
tcf(c_79809,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( hd(skaf71(X0)) = sk6 )
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0)))
| ( skaf71(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10778,c_21745]) ).
tcf(c_79810,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( hd(skaf71(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf71(X0))
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10778,c_21595]) ).
tcf(c_79811,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( hd(skaf71(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf71(X0))
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10778,c_21590]) ).
tcf(c_79812,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( hd(skaf71(X0)) = sk5 )
| ~ frontsegP(skaf71(X0),iPr_def_12)
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10778,c_21585]) ).
tcf(c_79813,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( hd(skaf71(X0)) = sk6 )
| ~ frontsegP(skaf71(X0),iPr_def_14)
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10778,c_21580]) ).
tcf(c_79814,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf71(X0)))
| ( skaf71(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf71(X0))
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10778,c_21202]) ).
tcf(c_79815,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf71(X0)))
| ( skaf71(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf71(X0))
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10778,c_21197]) ).
tcf(c_79818,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X0) = nil )
| ( hd(skaf71(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0)))
| ~ frontsegP(skaf71(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10778,c_423]) ).
tcf(c_79819,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf71(X0)),X2)
| ( skaf71(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0)))
| ~ frontsegP(skaf71(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10778,c_421]) ).
tcf(c_79820,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf71(X0)),X1)
| ( skaf71(X0) = nil )
| ( hd(skaf71(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0)))
| ~ memberP(skaf71(X0),X1) ),
inference(superposition,[status(thm)],[c_10778,c_408]) ).
tcf(c_79821,plain,
! [X0: $i] :
( leq(hd(skaf71(X0)),hd(tl(skaf71(X0))))
| ( skaf71(X0) = nil )
| ( tl(skaf71(X0)) = nil )
| ~ totalorderedP(skaf71(X0))
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10778,c_382]) ).
tcf(c_79822,plain,
! [X0: $i] :
( lt(hd(skaf71(X0)),hd(tl(skaf71(X0))))
| ( skaf71(X0) = nil )
| ( tl(skaf71(X0)) = nil )
| ~ strictorderedP(skaf71(X0))
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10778,c_381]) ).
tcf(c_79823,plain,
! [X0: $i] :
( totalorderedP(tl(skaf71(X0)))
| ( skaf71(X0) = nil )
| ( tl(skaf71(X0)) = nil )
| ~ totalorderedP(skaf71(X0))
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10778,c_372]) ).
tcf(c_79824,plain,
! [X0: $i] :
( strictorderedP(tl(skaf71(X0)))
| ( skaf71(X0) = nil )
| ( tl(skaf71(X0)) = nil )
| ~ strictorderedP(skaf71(X0))
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10778,c_371]) ).
tcf(c_79825,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0)))
| ( tl(skaf71(X0)) != skaf71(X0) ) ),
inference(superposition,[status(thm)],[c_10778,c_346]) ).
tcf(c_79827,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf71(X1)),X0),skaf71(X1))
| ( skaf71(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf71(X1)))
| ~ ssList(tl(skaf71(X1)))
| ~ frontsegP(X0,tl(skaf71(X1))) ),
inference(superposition,[status(thm)],[c_10778,c_425]) ).
tcf(c_79828,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X2) = nil )
| ( hd(skaf71(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf71(X2)))
| ~ ssList(tl(skaf71(X2)))
| ~ ssList(app(X0,cons(X1,skaf71(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf71(X2)),tl(skaf71(X2)))))) ),
inference(superposition,[status(thm)],[c_10778,c_427]) ).
tcf(c_79829,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X2) = nil )
| ( tl(skaf71(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf71(X2)))
| ~ ssList(tl(skaf71(X2)))
| ( cons(X0,X1) != skaf71(X2) ) ),
inference(superposition,[status(thm)],[c_10778,c_418]) ).
tcf(c_79830,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X2) = nil )
| ( hd(skaf71(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf71(X2)))
| ~ ssList(tl(skaf71(X2)))
| ( cons(X0,X1) != skaf71(X2) ) ),
inference(superposition,[status(thm)],[c_10778,c_417]) ).
tcf(c_79831,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X2) = nil )
| ( hd(skaf71(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf71(X2)))
| ~ ssList(tl(skaf71(X2)))
| ~ frontsegP(cons(X0,X1),skaf71(X2)) ),
inference(superposition,[status(thm)],[c_10778,c_423]) ).
tcf(c_79832,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf71(X2)))
| ( skaf71(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf71(X2)))
| ~ ssList(tl(skaf71(X2)))
| ~ frontsegP(cons(X0,X1),skaf71(X2)) ),
inference(superposition,[status(thm)],[c_10778,c_421]) ).
tcf(c_79833,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf71(X0),cons(hd(skaf71(X0)),X1))
| ( skaf71(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0)))
| ~ frontsegP(tl(skaf71(X0)),X1) ),
inference(superposition,[status(thm)],[c_10778,c_425]) ).
tcf(c_79834,plain,
! [X0: $i,X1: $i] :
( memberP(skaf71(X0),X1)
| ( skaf71(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf71(X0)))
| ~ ssList(tl(skaf71(X0)))
| ~ memberP(tl(skaf71(X0)),X1) ),
inference(superposition,[status(thm)],[c_10778,c_386]) ).
tcf(c_79835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf71(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf71(X3)))
| ~ ssList(tl(skaf71(X3)))
| ~ leq(X1,hd(skaf71(X3)))
| ~ leq(hd(skaf71(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf71(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf71(X3)),tl(skaf71(X3))))) ),
inference(superposition,[status(thm)],[c_10778,c_432]) ).
tcf(c_79836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf71(X3)))
| leq(hd(skaf71(X3)),X1)
| ( skaf71(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf71(X3)))
| ~ ssList(tl(skaf71(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf71(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf71(X3)),tl(skaf71(X3))))) ),
inference(superposition,[status(thm)],[c_10778,c_431]) ).
tcf(c_79837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf71(X3)))
| lt(hd(skaf71(X3)),X1)
| ( skaf71(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf71(X3)))
| ~ ssList(tl(skaf71(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf71(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf71(X3)),tl(skaf71(X3))))) ),
inference(superposition,[status(thm)],[c_10778,c_430]) ).
tcf(c_79838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf71(X3)))
| ( skaf71(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf71(X3)))
| ~ ssList(tl(skaf71(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf71(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf71(X3)),tl(skaf71(X3))))) ),
inference(superposition,[status(thm)],[c_10778,c_429]) ).
tcf(c_79839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf71(X3)))
| ( skaf71(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf71(X3)))
| ~ ssList(tl(skaf71(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf71(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf71(X3)),tl(skaf71(X3))))) ),
inference(superposition,[status(thm)],[c_10778,c_428]) ).
tcf(c_79840,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf71(X1)))
| ~ ssList(tl(skaf71(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf71(X1)),X2)),skaf71(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf71(X1)),X2)),cons(hd(skaf71(X1)),tl(skaf71(X1))))) ),
inference(superposition,[status(thm)],[c_10778,c_426]) ).
tcf(c_80201,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk8)),sk8),X0) = app(app(sk4,app(sk4,sk8)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79220,c_16217]) ).
tcf(c_80202,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk8)),sk7),X0) = app(app(sk4,app(sk4,sk8)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79220,c_16216]) ).
tcf(c_80203,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk8)),sk4),X0) = app(app(sk4,app(sk4,sk8)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79220,c_16215]) ).
tcf(c_80204,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk4,app(sk4,sk8)))) = app(cons(X1,X0),app(sk4,app(sk4,sk8))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79220,c_404]) ).
tcf(c_80205,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk4,app(sk4,sk8))),X0) = app(X1,app(app(sk4,app(sk4,sk8)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79220,c_396]) ).
tcf(c_80206,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk8)) = nil )
| ( app(tl(app(sk4,app(sk4,sk8))),X0) = tl(app(app(sk4,app(sk4,sk8)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79220,c_380]) ).
tcf(c_80207,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk8)) = nil )
| ( hd(app(app(sk4,app(sk4,sk8)),X0)) = hd(app(sk4,app(sk4,sk8))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79220,c_370]) ).
tcf(c_80208,plain,
hd(cons(skac3,app(sk4,app(sk4,sk8)))) = skac3,
inference(superposition,[status(thm)],[c_79220,c_10020]) ).
tcf(c_80209,plain,
tl(cons(skac2,app(sk4,app(sk4,sk8)))) = app(sk4,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_79220,c_9891]) ).
tcf(c_80210,plain,
cons(sk6,app(app(sk4,app(sk4,sk8)),sk4)) = app(cons(sk6,app(sk4,app(sk4,sk8))),sk4),
inference(superposition,[status(thm)],[c_79220,c_64778]) ).
tcf(c_80211,plain,
cons(sk5,app(app(sk4,app(sk4,sk8)),sk4)) = app(cons(sk5,app(sk4,app(sk4,sk8))),sk4),
inference(superposition,[status(thm)],[c_79220,c_64777]) ).
tcf(c_80212,plain,
tl(cons(skac3,app(sk4,app(sk4,sk8)))) = app(sk4,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_79220,c_9890]) ).
tcf(c_80213,plain,
app(app(sk8,sk8),app(sk4,app(sk4,sk8))) = app(sk8,app(sk8,app(sk4,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_79220,c_56349]) ).
tcf(c_80214,plain,
app(app(sk7,sk8),app(sk4,app(sk4,sk8))) = app(sk7,app(sk8,app(sk4,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_79220,c_56348]) ).
tcf(c_80215,plain,
app(app(sk4,sk8),app(sk4,app(sk4,sk8))) = app(sk4,app(sk8,app(sk4,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_79220,c_56347]) ).
tcf(c_80216,plain,
app(app(sk8,sk7),app(sk4,app(sk4,sk8))) = app(sk8,app(sk7,app(sk4,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_79220,c_45540]) ).
tcf(c_80217,plain,
app(app(sk7,sk7),app(sk4,app(sk4,sk8))) = app(sk7,app(sk7,app(sk4,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_79220,c_45539]) ).
tcf(c_80218,plain,
app(app(sk4,sk7),app(sk4,app(sk4,sk8))) = app(sk4,app(sk7,app(sk4,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_79220,c_45538]) ).
tcf(c_80219,plain,
app(app(sk8,sk4),app(sk4,app(sk4,sk8))) = app(sk8,app(sk4,app(sk4,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_79220,c_37633]) ).
tcf(c_80220,plain,
app(app(sk7,sk4),app(sk4,app(sk4,sk8))) = app(sk7,app(sk4,app(sk4,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_79220,c_37632]) ).
tcf(c_80221,plain,
app(app(sk4,sk4),app(sk4,app(sk4,sk8))) = app(sk4,app(sk4,app(sk4,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_79220,c_37631]) ).
tcf(c_80222,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk4,app(sk4,sk8))) = tl(app(sk8,app(sk4,app(sk4,sk8)))) ) ),
inference(superposition,[status(thm)],[c_79220,c_14611]) ).
tcf(c_80223,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk4,app(sk4,sk8))) = tl(app(sk7,app(sk4,app(sk4,sk8)))) ) ),
inference(superposition,[status(thm)],[c_79220,c_14610]) ).
tcf(c_80224,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk4,app(sk4,sk8))) = tl(app(sk4,app(sk4,app(sk4,sk8)))) ) ),
inference(superposition,[status(thm)],[c_79220,c_14609]) ).
tcf(c_80225,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk4,app(sk4,sk8)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_79220,c_11903]) ).
tcf(c_80226,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk4,app(sk4,sk8)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_79220,c_11902]) ).
tcf(c_80227,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk4,app(sk4,sk8)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_79220,c_11901]) ).
tcf(c_80228,plain,
( cyclefreeP(app(sk4,app(sk4,sk8)))
| ( app(app(skaf51(app(sk4,app(sk4,sk8))),cons(skaf49(app(sk4,app(sk4,sk8))),skaf52(app(sk4,app(sk4,sk8))))),cons(skaf50(app(sk4,app(sk4,sk8))),skaf53(app(sk4,app(sk4,sk8))))) = app(sk4,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_79220,c_414]) ).
tcf(c_80229,plain,
( totalorderP(app(sk4,app(sk4,sk8)))
| ( app(app(skaf56(app(sk4,app(sk4,sk8))),cons(skaf54(app(sk4,app(sk4,sk8))),skaf57(app(sk4,app(sk4,sk8))))),cons(skaf55(app(sk4,app(sk4,sk8))),skaf58(app(sk4,app(sk4,sk8))))) = app(sk4,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_79220,c_413]) ).
tcf(c_80230,plain,
( strictorderP(app(sk4,app(sk4,sk8)))
| ( app(app(skaf61(app(sk4,app(sk4,sk8))),cons(skaf59(app(sk4,app(sk4,sk8))),skaf62(app(sk4,app(sk4,sk8))))),cons(skaf60(app(sk4,app(sk4,sk8))),skaf63(app(sk4,app(sk4,sk8))))) = app(sk4,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_79220,c_412]) ).
tcf(c_80231,plain,
( totalorderedP(app(sk4,app(sk4,sk8)))
| ( app(app(skaf66(app(sk4,app(sk4,sk8))),cons(skaf64(app(sk4,app(sk4,sk8))),skaf67(app(sk4,app(sk4,sk8))))),cons(skaf65(app(sk4,app(sk4,sk8))),skaf68(app(sk4,app(sk4,sk8))))) = app(sk4,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_79220,c_411]) ).
tcf(c_80232,plain,
( strictorderedP(app(sk4,app(sk4,sk8)))
| ( app(app(skaf71(app(sk4,app(sk4,sk8))),cons(skaf69(app(sk4,app(sk4,sk8))),skaf72(app(sk4,app(sk4,sk8))))),cons(skaf70(app(sk4,app(sk4,sk8))),skaf73(app(sk4,app(sk4,sk8))))) = app(sk4,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_79220,c_410]) ).
tcf(c_80233,plain,
( duplicatefreeP(app(sk4,app(sk4,sk8)))
| ( app(app(skaf75(app(sk4,app(sk4,sk8))),cons(skaf74(app(sk4,app(sk4,sk8))),skaf76(app(sk4,app(sk4,sk8))))),cons(skaf74(app(sk4,app(sk4,sk8))),skaf77(app(sk4,app(sk4,sk8))))) = app(sk4,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_79220,c_409]) ).
tcf(c_80234,plain,
( equalelemsP(app(sk4,app(sk4,sk8)))
| ( app(skaf80(app(sk4,app(sk4,sk8))),cons(skaf78(app(sk4,app(sk4,sk8))),cons(skaf79(app(sk4,app(sk4,sk8))),skaf81(app(sk4,app(sk4,sk8)))))) = app(sk4,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_79220,c_389]) ).
tcf(c_80235,plain,
hd(cons(sk6,app(sk4,app(sk4,sk8)))) = sk6,
inference(superposition,[status(thm)],[c_79220,c_10017]) ).
tcf(c_80236,plain,
( ( app(sk4,app(sk4,sk8)) = nil )
| ( cons(skaf83(app(sk4,app(sk4,sk8))),skaf82(app(sk4,app(sk4,sk8)))) = app(sk4,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_79220,c_356]) ).
tcf(c_80237,plain,
( ( app(sk4,app(sk4,sk8)) = nil )
| ( cons(hd(app(sk4,app(sk4,sk8))),tl(app(sk4,app(sk4,sk8)))) = app(sk4,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_79220,c_351]) ).
tcf(c_80238,plain,
hd(cons(sk5,app(sk4,app(sk4,sk8)))) = sk5,
inference(superposition,[status(thm)],[c_79220,c_10016]) ).
tcf(c_80239,plain,
tl(cons(sk6,app(sk4,app(sk4,sk8)))) = app(sk4,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_79220,c_9887]) ).
tcf(c_80240,plain,
tl(cons(sk5,app(sk4,app(sk4,sk8)))) = app(sk4,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_79220,c_9886]) ).
tcf(c_80241,plain,
( duplicatefreeP(app(sk4,app(sk4,sk8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_79220,c_6471]) ).
tcf(c_80242,plain,
app(nil,app(sk4,app(sk4,sk8))) = app(sk4,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_79220,c_321]) ).
tcf(c_80243,plain,
app(app(sk4,app(sk4,sk8)),nil) = app(sk4,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_79220,c_320]) ).
tcf(c_80431,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk7)),sk8),X0) = app(app(sk4,app(sk4,sk7)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79223,c_16217]) ).
tcf(c_80432,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk7)),sk7),X0) = app(app(sk4,app(sk4,sk7)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79223,c_16216]) ).
tcf(c_80433,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk7)),sk4),X0) = app(app(sk4,app(sk4,sk7)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79223,c_16215]) ).
tcf(c_80434,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk4,app(sk4,sk7)))) = app(cons(X1,X0),app(sk4,app(sk4,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79223,c_404]) ).
tcf(c_80435,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk4,app(sk4,sk7))),X0) = app(X1,app(app(sk4,app(sk4,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79223,c_396]) ).
tcf(c_80436,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk7)) = nil )
| ( app(tl(app(sk4,app(sk4,sk7))),X0) = tl(app(app(sk4,app(sk4,sk7)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79223,c_380]) ).
tcf(c_80437,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk7)) = nil )
| ( hd(app(app(sk4,app(sk4,sk7)),X0)) = hd(app(sk4,app(sk4,sk7))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79223,c_370]) ).
tcf(c_80438,plain,
hd(cons(skac3,app(sk4,app(sk4,sk7)))) = skac3,
inference(superposition,[status(thm)],[c_79223,c_10020]) ).
tcf(c_80439,plain,
tl(cons(skac2,app(sk4,app(sk4,sk7)))) = app(sk4,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_79223,c_9891]) ).
tcf(c_80440,plain,
cons(sk6,app(app(sk4,app(sk4,sk7)),sk4)) = app(cons(sk6,app(sk4,app(sk4,sk7))),sk4),
inference(superposition,[status(thm)],[c_79223,c_64778]) ).
tcf(c_80441,plain,
cons(sk5,app(app(sk4,app(sk4,sk7)),sk4)) = app(cons(sk5,app(sk4,app(sk4,sk7))),sk4),
inference(superposition,[status(thm)],[c_79223,c_64777]) ).
tcf(c_80442,plain,
tl(cons(skac3,app(sk4,app(sk4,sk7)))) = app(sk4,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_79223,c_9890]) ).
tcf(c_80443,plain,
app(app(sk8,sk8),app(sk4,app(sk4,sk7))) = app(sk8,app(sk8,app(sk4,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_79223,c_56349]) ).
tcf(c_80444,plain,
app(app(sk7,sk8),app(sk4,app(sk4,sk7))) = app(sk7,app(sk8,app(sk4,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_79223,c_56348]) ).
tcf(c_80445,plain,
app(app(sk4,sk8),app(sk4,app(sk4,sk7))) = app(sk4,app(sk8,app(sk4,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_79223,c_56347]) ).
tcf(c_80446,plain,
app(app(sk8,sk7),app(sk4,app(sk4,sk7))) = app(sk8,app(sk7,app(sk4,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_79223,c_45540]) ).
tcf(c_80447,plain,
app(app(sk7,sk7),app(sk4,app(sk4,sk7))) = app(sk7,app(sk7,app(sk4,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_79223,c_45539]) ).
tcf(c_80448,plain,
app(app(sk4,sk7),app(sk4,app(sk4,sk7))) = app(sk4,app(sk7,app(sk4,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_79223,c_45538]) ).
tcf(c_80449,plain,
app(app(sk8,sk4),app(sk4,app(sk4,sk7))) = app(sk8,app(sk4,app(sk4,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_79223,c_37633]) ).
tcf(c_80450,plain,
app(app(sk7,sk4),app(sk4,app(sk4,sk7))) = app(sk7,app(sk4,app(sk4,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_79223,c_37632]) ).
tcf(c_80451,plain,
app(app(sk4,sk4),app(sk4,app(sk4,sk7))) = app(sk4,app(sk4,app(sk4,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_79223,c_37631]) ).
tcf(c_80452,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk4,app(sk4,sk7))) = tl(app(sk8,app(sk4,app(sk4,sk7)))) ) ),
inference(superposition,[status(thm)],[c_79223,c_14611]) ).
tcf(c_80453,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk4,app(sk4,sk7))) = tl(app(sk7,app(sk4,app(sk4,sk7)))) ) ),
inference(superposition,[status(thm)],[c_79223,c_14610]) ).
tcf(c_80454,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk4,app(sk4,sk7))) = tl(app(sk4,app(sk4,app(sk4,sk7)))) ) ),
inference(superposition,[status(thm)],[c_79223,c_14609]) ).
tcf(c_80455,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk4,app(sk4,sk7)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_79223,c_11903]) ).
tcf(c_80456,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk4,app(sk4,sk7)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_79223,c_11902]) ).
tcf(c_80457,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk4,app(sk4,sk7)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_79223,c_11901]) ).
tcf(c_80458,plain,
( cyclefreeP(app(sk4,app(sk4,sk7)))
| ( app(app(skaf51(app(sk4,app(sk4,sk7))),cons(skaf49(app(sk4,app(sk4,sk7))),skaf52(app(sk4,app(sk4,sk7))))),cons(skaf50(app(sk4,app(sk4,sk7))),skaf53(app(sk4,app(sk4,sk7))))) = app(sk4,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_79223,c_414]) ).
tcf(c_80459,plain,
( totalorderP(app(sk4,app(sk4,sk7)))
| ( app(app(skaf56(app(sk4,app(sk4,sk7))),cons(skaf54(app(sk4,app(sk4,sk7))),skaf57(app(sk4,app(sk4,sk7))))),cons(skaf55(app(sk4,app(sk4,sk7))),skaf58(app(sk4,app(sk4,sk7))))) = app(sk4,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_79223,c_413]) ).
tcf(c_80460,plain,
( strictorderP(app(sk4,app(sk4,sk7)))
| ( app(app(skaf61(app(sk4,app(sk4,sk7))),cons(skaf59(app(sk4,app(sk4,sk7))),skaf62(app(sk4,app(sk4,sk7))))),cons(skaf60(app(sk4,app(sk4,sk7))),skaf63(app(sk4,app(sk4,sk7))))) = app(sk4,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_79223,c_412]) ).
tcf(c_80461,plain,
( totalorderedP(app(sk4,app(sk4,sk7)))
| ( app(app(skaf66(app(sk4,app(sk4,sk7))),cons(skaf64(app(sk4,app(sk4,sk7))),skaf67(app(sk4,app(sk4,sk7))))),cons(skaf65(app(sk4,app(sk4,sk7))),skaf68(app(sk4,app(sk4,sk7))))) = app(sk4,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_79223,c_411]) ).
tcf(c_80462,plain,
( strictorderedP(app(sk4,app(sk4,sk7)))
| ( app(app(skaf71(app(sk4,app(sk4,sk7))),cons(skaf69(app(sk4,app(sk4,sk7))),skaf72(app(sk4,app(sk4,sk7))))),cons(skaf70(app(sk4,app(sk4,sk7))),skaf73(app(sk4,app(sk4,sk7))))) = app(sk4,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_79223,c_410]) ).
tcf(c_80463,plain,
( duplicatefreeP(app(sk4,app(sk4,sk7)))
| ( app(app(skaf75(app(sk4,app(sk4,sk7))),cons(skaf74(app(sk4,app(sk4,sk7))),skaf76(app(sk4,app(sk4,sk7))))),cons(skaf74(app(sk4,app(sk4,sk7))),skaf77(app(sk4,app(sk4,sk7))))) = app(sk4,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_79223,c_409]) ).
tcf(c_80464,plain,
( equalelemsP(app(sk4,app(sk4,sk7)))
| ( app(skaf80(app(sk4,app(sk4,sk7))),cons(skaf78(app(sk4,app(sk4,sk7))),cons(skaf79(app(sk4,app(sk4,sk7))),skaf81(app(sk4,app(sk4,sk7)))))) = app(sk4,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_79223,c_389]) ).
tcf(c_80465,plain,
hd(cons(sk6,app(sk4,app(sk4,sk7)))) = sk6,
inference(superposition,[status(thm)],[c_79223,c_10017]) ).
tcf(c_80466,plain,
( ( app(sk4,app(sk4,sk7)) = nil )
| ( cons(skaf83(app(sk4,app(sk4,sk7))),skaf82(app(sk4,app(sk4,sk7)))) = app(sk4,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_79223,c_356]) ).
tcf(c_80467,plain,
( ( app(sk4,app(sk4,sk7)) = nil )
| ( cons(hd(app(sk4,app(sk4,sk7))),tl(app(sk4,app(sk4,sk7)))) = app(sk4,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_79223,c_351]) ).
tcf(c_80468,plain,
hd(cons(sk5,app(sk4,app(sk4,sk7)))) = sk5,
inference(superposition,[status(thm)],[c_79223,c_10016]) ).
tcf(c_80469,plain,
tl(cons(sk6,app(sk4,app(sk4,sk7)))) = app(sk4,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_79223,c_9887]) ).
tcf(c_80470,plain,
tl(cons(sk5,app(sk4,app(sk4,sk7)))) = app(sk4,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_79223,c_9886]) ).
tcf(c_80471,plain,
( duplicatefreeP(app(sk4,app(sk4,sk7)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_79223,c_6471]) ).
tcf(c_80472,plain,
app(nil,app(sk4,app(sk4,sk7))) = app(sk4,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_79223,c_321]) ).
tcf(c_80473,plain,
app(app(sk4,app(sk4,sk7)),nil) = app(sk4,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_79223,c_320]) ).
tcf(c_80654,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk4)),sk8),X0) = app(app(sk4,app(sk4,sk4)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79226,c_16217]) ).
tcf(c_80655,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk4)),sk7),X0) = app(app(sk4,app(sk4,sk4)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79226,c_16216]) ).
tcf(c_80656,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk4,sk4)),sk4),X0) = app(app(sk4,app(sk4,sk4)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79226,c_16215]) ).
tcf(c_80657,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk4,app(sk4,sk4)))) = app(cons(X1,X0),app(sk4,app(sk4,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79226,c_404]) ).
tcf(c_80658,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk4,app(sk4,sk4))),X0) = app(X1,app(app(sk4,app(sk4,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79226,c_396]) ).
tcf(c_80659,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk4)) = nil )
| ( app(tl(app(sk4,app(sk4,sk4))),X0) = tl(app(app(sk4,app(sk4,sk4)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79226,c_380]) ).
tcf(c_80660,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk4)) = nil )
| ( hd(app(app(sk4,app(sk4,sk4)),X0)) = hd(app(sk4,app(sk4,sk4))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79226,c_370]) ).
tcf(c_80661,plain,
hd(cons(skac3,app(sk4,app(sk4,sk4)))) = skac3,
inference(superposition,[status(thm)],[c_79226,c_10020]) ).
tcf(c_80662,plain,
tl(cons(skac2,app(sk4,app(sk4,sk4)))) = app(sk4,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_79226,c_9891]) ).
tcf(c_80663,plain,
cons(sk6,app(app(sk4,app(sk4,sk4)),sk4)) = app(cons(sk6,app(sk4,app(sk4,sk4))),sk4),
inference(superposition,[status(thm)],[c_79226,c_64778]) ).
tcf(c_80664,plain,
cons(sk5,app(app(sk4,app(sk4,sk4)),sk4)) = app(cons(sk5,app(sk4,app(sk4,sk4))),sk4),
inference(superposition,[status(thm)],[c_79226,c_64777]) ).
tcf(c_80665,plain,
tl(cons(skac3,app(sk4,app(sk4,sk4)))) = app(sk4,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_79226,c_9890]) ).
tcf(c_80666,plain,
app(app(sk8,sk8),app(sk4,app(sk4,sk4))) = app(sk8,app(sk8,app(sk4,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_79226,c_56349]) ).
tcf(c_80667,plain,
app(app(sk7,sk8),app(sk4,app(sk4,sk4))) = app(sk7,app(sk8,app(sk4,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_79226,c_56348]) ).
tcf(c_80668,plain,
app(app(sk4,sk8),app(sk4,app(sk4,sk4))) = app(sk4,app(sk8,app(sk4,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_79226,c_56347]) ).
tcf(c_80669,plain,
app(app(sk8,sk7),app(sk4,app(sk4,sk4))) = app(sk8,app(sk7,app(sk4,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_79226,c_45540]) ).
tcf(c_80670,plain,
app(app(sk7,sk7),app(sk4,app(sk4,sk4))) = app(sk7,app(sk7,app(sk4,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_79226,c_45539]) ).
tcf(c_80671,plain,
app(app(sk4,sk7),app(sk4,app(sk4,sk4))) = app(sk4,app(sk7,app(sk4,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_79226,c_45538]) ).
tcf(c_80672,plain,
app(app(sk8,sk4),app(sk4,app(sk4,sk4))) = app(sk8,app(sk4,app(sk4,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_79226,c_37633]) ).
tcf(c_80673,plain,
app(app(sk7,sk4),app(sk4,app(sk4,sk4))) = app(sk7,app(sk4,app(sk4,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_79226,c_37632]) ).
tcf(c_80674,plain,
app(app(sk4,sk4),app(sk4,app(sk4,sk4))) = app(sk4,app(sk4,app(sk4,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_79226,c_37631]) ).
tcf(c_80675,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk4,app(sk4,sk4))) = tl(app(sk8,app(sk4,app(sk4,sk4)))) ) ),
inference(superposition,[status(thm)],[c_79226,c_14611]) ).
tcf(c_80676,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk4,app(sk4,sk4))) = tl(app(sk7,app(sk4,app(sk4,sk4)))) ) ),
inference(superposition,[status(thm)],[c_79226,c_14610]) ).
tcf(c_80677,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk4,app(sk4,sk4))) = tl(app(sk4,app(sk4,app(sk4,sk4)))) ) ),
inference(superposition,[status(thm)],[c_79226,c_14609]) ).
tcf(c_80678,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk4,app(sk4,sk4)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_79226,c_11903]) ).
tcf(c_80679,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk4,app(sk4,sk4)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_79226,c_11902]) ).
tcf(c_80680,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk4,app(sk4,sk4)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_79226,c_11901]) ).
tcf(c_80681,plain,
( cyclefreeP(app(sk4,app(sk4,sk4)))
| ( app(app(skaf51(app(sk4,app(sk4,sk4))),cons(skaf49(app(sk4,app(sk4,sk4))),skaf52(app(sk4,app(sk4,sk4))))),cons(skaf50(app(sk4,app(sk4,sk4))),skaf53(app(sk4,app(sk4,sk4))))) = app(sk4,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_79226,c_414]) ).
tcf(c_80682,plain,
( totalorderP(app(sk4,app(sk4,sk4)))
| ( app(app(skaf56(app(sk4,app(sk4,sk4))),cons(skaf54(app(sk4,app(sk4,sk4))),skaf57(app(sk4,app(sk4,sk4))))),cons(skaf55(app(sk4,app(sk4,sk4))),skaf58(app(sk4,app(sk4,sk4))))) = app(sk4,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_79226,c_413]) ).
tcf(c_80683,plain,
( strictorderP(app(sk4,app(sk4,sk4)))
| ( app(app(skaf61(app(sk4,app(sk4,sk4))),cons(skaf59(app(sk4,app(sk4,sk4))),skaf62(app(sk4,app(sk4,sk4))))),cons(skaf60(app(sk4,app(sk4,sk4))),skaf63(app(sk4,app(sk4,sk4))))) = app(sk4,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_79226,c_412]) ).
tcf(c_80684,plain,
( totalorderedP(app(sk4,app(sk4,sk4)))
| ( app(app(skaf66(app(sk4,app(sk4,sk4))),cons(skaf64(app(sk4,app(sk4,sk4))),skaf67(app(sk4,app(sk4,sk4))))),cons(skaf65(app(sk4,app(sk4,sk4))),skaf68(app(sk4,app(sk4,sk4))))) = app(sk4,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_79226,c_411]) ).
tcf(c_80685,plain,
( strictorderedP(app(sk4,app(sk4,sk4)))
| ( app(app(skaf71(app(sk4,app(sk4,sk4))),cons(skaf69(app(sk4,app(sk4,sk4))),skaf72(app(sk4,app(sk4,sk4))))),cons(skaf70(app(sk4,app(sk4,sk4))),skaf73(app(sk4,app(sk4,sk4))))) = app(sk4,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_79226,c_410]) ).
tcf(c_80686,plain,
( duplicatefreeP(app(sk4,app(sk4,sk4)))
| ( app(app(skaf75(app(sk4,app(sk4,sk4))),cons(skaf74(app(sk4,app(sk4,sk4))),skaf76(app(sk4,app(sk4,sk4))))),cons(skaf74(app(sk4,app(sk4,sk4))),skaf77(app(sk4,app(sk4,sk4))))) = app(sk4,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_79226,c_409]) ).
tcf(c_80687,plain,
( equalelemsP(app(sk4,app(sk4,sk4)))
| ( app(skaf80(app(sk4,app(sk4,sk4))),cons(skaf78(app(sk4,app(sk4,sk4))),cons(skaf79(app(sk4,app(sk4,sk4))),skaf81(app(sk4,app(sk4,sk4)))))) = app(sk4,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_79226,c_389]) ).
tcf(c_80688,plain,
hd(cons(sk6,app(sk4,app(sk4,sk4)))) = sk6,
inference(superposition,[status(thm)],[c_79226,c_10017]) ).
tcf(c_80689,plain,
( ( app(sk4,app(sk4,sk4)) = nil )
| ( cons(skaf83(app(sk4,app(sk4,sk4))),skaf82(app(sk4,app(sk4,sk4)))) = app(sk4,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_79226,c_356]) ).
tcf(c_80690,plain,
( ( app(sk4,app(sk4,sk4)) = nil )
| ( cons(hd(app(sk4,app(sk4,sk4))),tl(app(sk4,app(sk4,sk4)))) = app(sk4,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_79226,c_351]) ).
tcf(c_80691,plain,
hd(cons(sk5,app(sk4,app(sk4,sk4)))) = sk5,
inference(superposition,[status(thm)],[c_79226,c_10016]) ).
tcf(c_80692,plain,
tl(cons(sk6,app(sk4,app(sk4,sk4)))) = app(sk4,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_79226,c_9887]) ).
tcf(c_80693,plain,
tl(cons(sk5,app(sk4,app(sk4,sk4)))) = app(sk4,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_79226,c_9886]) ).
tcf(c_80694,plain,
( duplicatefreeP(app(sk4,app(sk4,sk4)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_79226,c_6471]) ).
tcf(c_80695,plain,
app(nil,app(sk4,app(sk4,sk4))) = app(sk4,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_79226,c_321]) ).
tcf(c_80696,plain,
app(app(sk4,app(sk4,sk4)),nil) = app(sk4,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_79226,c_320]) ).
tcf(c_81046,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_79219,c_400]) ).
tcf(c_81047,plain,
( ( app(skaf46(app(sk4,app(sk4,sk8)),sk8),sk8) = app(sk4,app(sk4,sk8)) )
| ~ ssList(sk8)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_79219,c_378]) ).
tcf(c_81048,plain,
( ( app(sk4,app(sk4,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(sk8,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_79219,c_375]) ).
tcf(c_81049,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81046,c_6482,c_79220]) ).
tcf(c_81053,plain,
( ( app(sk4,app(sk4,sk8)) = sk8 )
| ~ rearsegP(sk8,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81048,c_6482,c_79220]) ).
tcf(c_81056,plain,
app(skaf46(app(sk4,app(sk4,sk8)),sk8),sk8) = app(sk4,app(sk4,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_81047,c_6482,c_79220]) ).
tcf(c_81063,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_79222,c_400]) ).
tcf(c_81064,plain,
( ( app(skaf46(app(sk4,app(sk4,sk7)),sk7),sk7) = app(sk4,app(sk4,sk7)) )
| ~ ssList(sk7)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_79222,c_378]) ).
tcf(c_81065,plain,
( ( app(sk4,app(sk4,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_79222,c_375]) ).
tcf(c_81066,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81063,c_6483,c_79223]) ).
tcf(c_81070,plain,
( ( app(sk4,app(sk4,sk7)) = sk7 )
| ~ rearsegP(sk7,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81065,c_6483,c_79223]) ).
tcf(c_81073,plain,
app(skaf46(app(sk4,app(sk4,sk7)),sk7),sk7) = app(sk4,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_81064,c_6483,c_79223]) ).
tcf(c_81075,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_79225,c_400]) ).
tcf(c_81076,plain,
( ( app(skaf46(app(sk4,app(sk4,sk4)),sk4),sk4) = app(sk4,app(sk4,sk4)) )
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_79225,c_378]) ).
tcf(c_81077,plain,
( ( app(sk4,app(sk4,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_79225,c_375]) ).
tcf(c_81078,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81075,c_6486,c_79226]) ).
tcf(c_81082,plain,
( ( app(sk4,app(sk4,sk4)) = sk4 )
| ~ rearsegP(sk4,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81077,c_6486,c_79226]) ).
tcf(c_81085,plain,
app(skaf46(app(sk4,app(sk4,sk4)),sk4),sk4) = app(sk4,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_81076,c_6486,c_79226]) ).
tcf(c_81094,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_383,c_81049]) ).
tcf(c_81095,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk4,app(sk4,sk8))),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(app(X0,app(sk4,app(sk4,sk8)))) ),
inference(superposition,[status(thm)],[c_807,c_81049]) ).
tcf(c_81096,plain,
( rearsegP(cons(sk5,sk4),sk8)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_66416,c_81049]) ).
tcf(c_81097,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68240,c_81049]) ).
tcf(c_81098,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68547,c_81049]) ).
tcf(c_81099,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68977,c_81049]) ).
tcf(c_81100,plain,
( rearsegP(cons(sk5,sk4),sk8)
| ~ rearsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81096,c_66402,c_79220]) ).
tcf(c_81103,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk4,app(sk4,sk8))),sk8)
| ~ ssList(X0)
| ~ ssList(app(X0,app(sk4,app(sk4,sk8)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81095,c_79220]) ).
tcf(c_81107,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ rearsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81099,c_79220,c_68959]) ).
tcf(c_81110,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ rearsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81098,c_79220,c_68529]) ).
tcf(c_81113,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81097,c_79220,c_68222]) ).
tcf(c_81116,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81094,c_79220]) ).
tcf(c_81131,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_383,c_81066]) ).
tcf(c_81132,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk4,app(sk4,sk7))),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(app(X0,app(sk4,app(sk4,sk7)))) ),
inference(superposition,[status(thm)],[c_807,c_81066]) ).
tcf(c_81133,plain,
( rearsegP(cons(sk5,sk4),sk7)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_66416,c_81066]) ).
tcf(c_81134,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68240,c_81066]) ).
tcf(c_81135,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68547,c_81066]) ).
tcf(c_81136,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68977,c_81066]) ).
tcf(c_81137,plain,
( rearsegP(cons(sk5,sk4),sk7)
| ~ rearsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81133,c_66402,c_79223]) ).
tcf(c_81140,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk4,app(sk4,sk7))),sk7)
| ~ ssList(X0)
| ~ ssList(app(X0,app(sk4,app(sk4,sk7)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81132,c_79223]) ).
tcf(c_81144,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ rearsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81136,c_79223,c_68959]) ).
tcf(c_81147,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ rearsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81135,c_79223,c_68529]) ).
tcf(c_81150,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81134,c_79223,c_68222]) ).
tcf(c_81153,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81131,c_79223]) ).
tcf(c_81168,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_383,c_81078]) ).
tcf(c_81169,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk4,app(sk4,sk4))),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(app(X0,app(sk4,app(sk4,sk4)))) ),
inference(superposition,[status(thm)],[c_807,c_81078]) ).
tcf(c_81174,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk4,app(sk4,sk4))),sk4)
| ~ ssList(X0)
| ~ ssList(app(X0,app(sk4,app(sk4,sk4)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81169,c_79226]) ).
tcf(c_81178,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81168,c_79226]) ).
tcf(c_81198,plain,
( rearsegP(app(sk4,sk4),nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_21506,c_79184]) ).
tcf(c_81200,plain,
rearsegP(app(sk4,sk4),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_81198,c_255]) ).
tcf(c_81213,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8))
| ~ ssList(app(app(skaf46(app(sk4,app(sk4,sk8)),sk8),sk8),X0)) ),
inference(superposition,[status(thm)],[c_81056,c_420]) ).
tcf(c_81214,plain,
! [X0: $i] :
( ( skaf46(app(sk4,app(sk4,sk8)),sk8) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8))
| ( app(sk4,app(sk4,sk8)) != app(X0,sk8) ) ),
inference(superposition,[status(thm)],[c_81056,c_398]) ).
tcf(c_81216,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf46(app(sk4,app(sk4,sk8)),sk8),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_81056,c_405]) ).
tcf(c_81217,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8))
| ( app(sk4,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_81056,c_366]) ).
tcf(c_81218,plain,
( ( skaf46(app(sk4,app(sk4,sk8)),sk8) = nil )
| ~ ssList(sk8)
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8))
| ( app(sk4,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_81056,c_365]) ).
tcf(c_81219,plain,
( frontsegP(app(sk4,app(sk4,sk8)),skaf46(app(sk4,app(sk4,sk8)),sk8))
| ~ ssList(sk8)
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_81056,c_808]) ).
tcf(c_81221,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_81056,c_388]) ).
tcf(c_81222,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_81056,c_383]) ).
tcf(c_81223,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8))
| ( app(skaf46(app(sk4,app(sk4,sk8)),sk8),X0) != app(sk4,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_81056,c_397]) ).
tcf(c_81224,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8))
| ~ memberP(skaf46(app(sk4,app(sk4,sk8)),sk8),X0) ),
inference(superposition,[status(thm)],[c_81056,c_387]) ).
tcf(c_81225,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8))
| ~ frontsegP(skaf46(app(sk4,app(sk4,sk8)),sk8),X0) ),
inference(superposition,[status(thm)],[c_81056,c_384]) ).
tcf(c_81226,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk8)),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_81056,c_419]) ).
tcf(c_81227,plain,
( ( skaf46(app(sk4,app(sk4,sk8)),sk8) = iPr_def_14 )
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8))
| ( app(sk4,app(sk4,sk8)) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_81056,c_51820]) ).
tcf(c_81228,plain,
( ( skaf46(app(sk4,app(sk4,sk8)),sk8) = nil )
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8))
| ( app(sk4,app(sk4,sk8)) != sk8 ) ),
inference(superposition,[status(thm)],[c_81056,c_17621]) ).
tcf(c_81229,plain,
frontsegP(app(sk4,app(sk4,sk8)),skaf46(app(sk4,app(sk4,sk8)),sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_81219,c_6482,c_297]) ).
tcf(c_81230,plain,
( ( sk8 = nil )
| ( app(sk4,app(sk4,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81217,c_6482,c_297]) ).
tcf(c_81233,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81222,c_6482,c_297]) ).
tcf(c_81237,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81221,c_6482,c_297]) ).
tcf(c_81241,plain,
( ( skaf46(app(sk4,app(sk4,sk8)),sk8) = nil )
| ( app(sk4,app(sk4,sk8)) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81228,c_297]) ).
tcf(c_81244,plain,
( ( skaf46(app(sk4,app(sk4,sk8)),sk8) = iPr_def_14 )
| ( app(sk4,app(sk4,sk8)) != cons(sk6,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81227,c_297]) ).
tcf(c_81247,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk8)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81226,c_6482,c_297]) ).
tcf(c_81252,plain,
( ( skaf46(app(sk4,app(sk4,sk8)),sk8) = nil )
| ( app(sk4,app(sk4,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81218,c_6482,c_297]) ).
tcf(c_81255,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(app(sk4,app(sk4,sk8)),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81225,c_6482,c_297]) ).
tcf(c_81259,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(app(sk4,app(sk4,sk8)),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81224,c_6482,c_297]) ).
tcf(c_81263,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf46(app(sk4,app(sk4,sk8)),sk8),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk4,app(sk4,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81216,c_6482,c_297]) ).
tcf(c_81268,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ( app(skaf46(app(sk4,app(sk4,sk8)),sk8),X0) != app(sk4,app(sk4,sk8)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81223,c_6482,c_297]) ).
tcf(c_81272,plain,
! [X0: $i] :
( ( skaf46(app(sk4,app(sk4,sk8)),sk8) = X0 )
| ~ ssList(X0)
| ( app(sk4,app(sk4,sk8)) != app(X0,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81214,c_6482,c_297]) ).
tcf(c_81276,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8))
| ~ ssList(app(app(sk4,app(sk4,sk8)),X0)) ),
inference(light_normalisation,[status(thm)],[c_81213,c_81056]) ).
tcf(c_81277,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk8)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(app(sk4,app(sk4,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81276,c_6482,c_297]) ).
tcf(c_81344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf68(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf68(X1)))
| ~ ssList(tl(skaf68(X1)))
| ~ leq(X2,hd(skaf68(X1)))
| ~ leq(hd(skaf68(X1)),X2)
| ~ ssList(app(app(X0,skaf68(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf68(X1)),tl(skaf68(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10779,c_432]) ).
tcf(c_81345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf68(X1)))
| leq(hd(skaf68(X1)),X2)
| ( skaf68(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf68(X1)))
| ~ ssList(tl(skaf68(X1)))
| ~ ssList(app(app(X0,skaf68(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf68(X1)),tl(skaf68(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10779,c_431]) ).
tcf(c_81346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf68(X1)))
| lt(hd(skaf68(X1)),X2)
| ( skaf68(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf68(X1)))
| ~ ssList(tl(skaf68(X1)))
| ~ ssList(app(app(X0,skaf68(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf68(X1)),tl(skaf68(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10779,c_430]) ).
tcf(c_81347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf68(X1)),X2)
| ( skaf68(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf68(X1)))
| ~ ssList(tl(skaf68(X1)))
| ~ ssList(app(app(X0,skaf68(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf68(X1)),tl(skaf68(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10779,c_429]) ).
tcf(c_81348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf68(X1)),X2)
| ( skaf68(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf68(X1)))
| ~ ssList(tl(skaf68(X1)))
| ~ ssList(app(app(X0,skaf68(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf68(X1)),tl(skaf68(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10779,c_428]) ).
tcf(c_81349,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf68(X1)))
| ~ ssList(tl(skaf68(X1)))
| ~ ssList(app(app(X0,skaf68(X1)),cons(hd(skaf68(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf68(X1)),tl(skaf68(X1)))),cons(hd(skaf68(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10779,c_426]) ).
tcf(c_81350,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf68(X1)),hd(skaf68(X1)))
| ( skaf68(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf68(X1)))
| ~ ssList(tl(skaf68(X1)))
| ~ ssList(app(X0,cons(hd(skaf68(X1)),tl(skaf68(X1))))) ),
inference(superposition,[status(thm)],[c_10779,c_422]) ).
tcf(c_81351,plain,
! [X0: $i] :
( memberP(skaf68(X0),hd(skaf68(X0)))
| ( skaf68(X0) = nil )
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10779,c_385]) ).
tcf(c_81353,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( tl(skaf68(X0)) = nil )
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0)))
| ( skaf68(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10779,c_21847]) ).
tcf(c_81354,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( tl(skaf68(X0)) = nil )
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0)))
| ( skaf68(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10779,c_21842]) ).
tcf(c_81355,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( hd(skaf68(X0)) = sk5 )
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0)))
| ( skaf68(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10779,c_21750]) ).
tcf(c_81356,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( hd(skaf68(X0)) = sk6 )
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0)))
| ( skaf68(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10779,c_21745]) ).
tcf(c_81357,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( hd(skaf68(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf68(X0))
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10779,c_21595]) ).
tcf(c_81358,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( hd(skaf68(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf68(X0))
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10779,c_21590]) ).
tcf(c_81359,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( hd(skaf68(X0)) = sk5 )
| ~ frontsegP(skaf68(X0),iPr_def_12)
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10779,c_21585]) ).
tcf(c_81360,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( hd(skaf68(X0)) = sk6 )
| ~ frontsegP(skaf68(X0),iPr_def_14)
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10779,c_21580]) ).
tcf(c_81361,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf68(X0)))
| ( skaf68(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf68(X0))
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10779,c_21202]) ).
tcf(c_81362,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf68(X0)))
| ( skaf68(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf68(X0))
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10779,c_21197]) ).
tcf(c_81365,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X0) = nil )
| ( hd(skaf68(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0)))
| ~ frontsegP(skaf68(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10779,c_423]) ).
tcf(c_81366,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf68(X0)),X2)
| ( skaf68(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0)))
| ~ frontsegP(skaf68(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10779,c_421]) ).
tcf(c_81367,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf68(X0)),X1)
| ( skaf68(X0) = nil )
| ( hd(skaf68(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0)))
| ~ memberP(skaf68(X0),X1) ),
inference(superposition,[status(thm)],[c_10779,c_408]) ).
tcf(c_81368,plain,
! [X0: $i] :
( leq(hd(skaf68(X0)),hd(tl(skaf68(X0))))
| ( skaf68(X0) = nil )
| ( tl(skaf68(X0)) = nil )
| ~ totalorderedP(skaf68(X0))
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10779,c_382]) ).
tcf(c_81369,plain,
! [X0: $i] :
( lt(hd(skaf68(X0)),hd(tl(skaf68(X0))))
| ( skaf68(X0) = nil )
| ( tl(skaf68(X0)) = nil )
| ~ strictorderedP(skaf68(X0))
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10779,c_381]) ).
tcf(c_81370,plain,
! [X0: $i] :
( totalorderedP(tl(skaf68(X0)))
| ( skaf68(X0) = nil )
| ( tl(skaf68(X0)) = nil )
| ~ totalorderedP(skaf68(X0))
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10779,c_372]) ).
tcf(c_81371,plain,
! [X0: $i] :
( strictorderedP(tl(skaf68(X0)))
| ( skaf68(X0) = nil )
| ( tl(skaf68(X0)) = nil )
| ~ strictorderedP(skaf68(X0))
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10779,c_371]) ).
tcf(c_81372,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0)))
| ( tl(skaf68(X0)) != skaf68(X0) ) ),
inference(superposition,[status(thm)],[c_10779,c_346]) ).
tcf(c_81374,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf68(X1)),X0),skaf68(X1))
| ( skaf68(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf68(X1)))
| ~ ssList(tl(skaf68(X1)))
| ~ frontsegP(X0,tl(skaf68(X1))) ),
inference(superposition,[status(thm)],[c_10779,c_425]) ).
tcf(c_81375,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X2) = nil )
| ( hd(skaf68(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf68(X2)))
| ~ ssList(tl(skaf68(X2)))
| ~ ssList(app(X0,cons(X1,skaf68(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf68(X2)),tl(skaf68(X2)))))) ),
inference(superposition,[status(thm)],[c_10779,c_427]) ).
tcf(c_81376,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X2) = nil )
| ( tl(skaf68(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf68(X2)))
| ~ ssList(tl(skaf68(X2)))
| ( cons(X0,X1) != skaf68(X2) ) ),
inference(superposition,[status(thm)],[c_10779,c_418]) ).
tcf(c_81377,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X2) = nil )
| ( hd(skaf68(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf68(X2)))
| ~ ssList(tl(skaf68(X2)))
| ( cons(X0,X1) != skaf68(X2) ) ),
inference(superposition,[status(thm)],[c_10779,c_417]) ).
tcf(c_81378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X2) = nil )
| ( hd(skaf68(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf68(X2)))
| ~ ssList(tl(skaf68(X2)))
| ~ frontsegP(cons(X0,X1),skaf68(X2)) ),
inference(superposition,[status(thm)],[c_10779,c_423]) ).
tcf(c_81379,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf68(X2)))
| ( skaf68(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf68(X2)))
| ~ ssList(tl(skaf68(X2)))
| ~ frontsegP(cons(X0,X1),skaf68(X2)) ),
inference(superposition,[status(thm)],[c_10779,c_421]) ).
tcf(c_81380,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf68(X0),cons(hd(skaf68(X0)),X1))
| ( skaf68(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0)))
| ~ frontsegP(tl(skaf68(X0)),X1) ),
inference(superposition,[status(thm)],[c_10779,c_425]) ).
tcf(c_81381,plain,
! [X0: $i,X1: $i] :
( memberP(skaf68(X0),X1)
| ( skaf68(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf68(X0)))
| ~ ssList(tl(skaf68(X0)))
| ~ memberP(tl(skaf68(X0)),X1) ),
inference(superposition,[status(thm)],[c_10779,c_386]) ).
tcf(c_81382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf68(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf68(X3)))
| ~ ssList(tl(skaf68(X3)))
| ~ leq(X1,hd(skaf68(X3)))
| ~ leq(hd(skaf68(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf68(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf68(X3)),tl(skaf68(X3))))) ),
inference(superposition,[status(thm)],[c_10779,c_432]) ).
tcf(c_81383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf68(X3)))
| leq(hd(skaf68(X3)),X1)
| ( skaf68(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf68(X3)))
| ~ ssList(tl(skaf68(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf68(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf68(X3)),tl(skaf68(X3))))) ),
inference(superposition,[status(thm)],[c_10779,c_431]) ).
tcf(c_81384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf68(X3)))
| lt(hd(skaf68(X3)),X1)
| ( skaf68(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf68(X3)))
| ~ ssList(tl(skaf68(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf68(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf68(X3)),tl(skaf68(X3))))) ),
inference(superposition,[status(thm)],[c_10779,c_430]) ).
tcf(c_81385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf68(X3)))
| ( skaf68(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf68(X3)))
| ~ ssList(tl(skaf68(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf68(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf68(X3)),tl(skaf68(X3))))) ),
inference(superposition,[status(thm)],[c_10779,c_429]) ).
tcf(c_81386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf68(X3)))
| ( skaf68(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf68(X3)))
| ~ ssList(tl(skaf68(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf68(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf68(X3)),tl(skaf68(X3))))) ),
inference(superposition,[status(thm)],[c_10779,c_428]) ).
tcf(c_81387,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf68(X1)))
| ~ ssList(tl(skaf68(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf68(X1)),X2)),skaf68(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf68(X1)),X2)),cons(hd(skaf68(X1)),tl(skaf68(X1))))) ),
inference(superposition,[status(thm)],[c_10779,c_426]) ).
tcf(c_81955,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf62(X0))))
| ( cons(skac3,skaf62(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf62(X0)))
| ~ ssList(cons(skac3,skaf62(X0))) ),
inference(superposition,[status(thm)],[c_76090,c_407]) ).
tcf(c_81956,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf62(X0))))
| ( cons(skac3,skaf62(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf62(X0)))
| ~ ssList(cons(skac3,skaf62(X0))) ),
inference(superposition,[status(thm)],[c_76090,c_406]) ).
tcf(c_81972,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ rearsegP(X0,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_81200,c_400]) ).
tcf(c_81973,plain,
( ( app(skaf46(app(sk4,sk4),nil),nil) = app(sk4,sk4) )
| ~ ssList(nil)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_81200,c_378]) ).
tcf(c_81974,plain,
( ( app(sk4,sk4) = nil )
| ~ ssList(nil)
| ~ ssList(app(sk4,sk4))
| ~ rearsegP(nil,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_81200,c_375]) ).
tcf(c_81975,plain,
( ( app(sk4,sk4) = nil )
| ~ rearsegP(nil,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81974,c_255,c_79152]) ).
tcf(c_81978,plain,
app(skaf46(app(sk4,sk4),nil),nil) = app(sk4,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_81973,c_255,c_79152]) ).
tcf(c_81980,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf61(X0))))
| ( cons(skac3,skaf61(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf61(X0)))
| ~ ssList(cons(skac3,skaf61(X0))) ),
inference(superposition,[status(thm)],[c_76091,c_407]) ).
tcf(c_81981,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf61(X0))))
| ( cons(skac3,skaf61(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf61(X0)))
| ~ ssList(cons(skac3,skaf61(X0))) ),
inference(superposition,[status(thm)],[c_76091,c_406]) ).
tcf(c_81997,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf58(X0))))
| ( cons(skac3,skaf58(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf58(X0)))
| ~ ssList(cons(skac3,skaf58(X0))) ),
inference(superposition,[status(thm)],[c_76092,c_407]) ).
tcf(c_81998,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf58(X0))))
| ( cons(skac3,skaf58(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf58(X0)))
| ~ ssList(cons(skac3,skaf58(X0))) ),
inference(superposition,[status(thm)],[c_76092,c_406]) ).
tcf(c_82014,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf57(X0))))
| ( cons(skac3,skaf57(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf57(X0)))
| ~ ssList(cons(skac3,skaf57(X0))) ),
inference(superposition,[status(thm)],[c_76093,c_407]) ).
tcf(c_82015,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf57(X0))))
| ( cons(skac3,skaf57(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf57(X0)))
| ~ ssList(cons(skac3,skaf57(X0))) ),
inference(superposition,[status(thm)],[c_76093,c_406]) ).
tcf(c_82031,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk4,app(sk4,sk8)),sk8))
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk8)))
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_81229,c_401]) ).
tcf(c_82032,plain,
( ( app(skaf46(app(sk4,app(sk4,sk8)),sk8),skaf45(app(sk4,app(sk4,sk8)),skaf46(app(sk4,app(sk4,sk8)),sk8))) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_81229,c_379]) ).
tcf(c_82033,plain,
( ( skaf46(app(sk4,app(sk4,sk8)),sk8) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(skaf46(app(sk4,app(sk4,sk8)),sk8))
| ~ frontsegP(skaf46(app(sk4,app(sk4,sk8)),sk8),app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_81229,c_376]) ).
tcf(c_82034,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk4,app(sk4,sk8)),sk8))
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82031,c_79220,c_297]) ).
tcf(c_82038,plain,
( ( skaf46(app(sk4,app(sk4,sk8)),sk8) = app(sk4,app(sk4,sk8)) )
| ~ frontsegP(skaf46(app(sk4,app(sk4,sk8)),sk8),app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82033,c_79220,c_297]) ).
tcf(c_82041,plain,
app(skaf46(app(sk4,app(sk4,sk8)),sk8),skaf45(app(sk4,app(sk4,sk8)),skaf46(app(sk4,app(sk4,sk8)),sk8))) = app(sk4,app(sk4,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_82032,c_79220,c_297]) ).
tcf(c_82053,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk8,X1)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_81233,c_400]) ).
tcf(c_82054,plain,
! [X0: $i] :
( ( app(skaf46(app(sk4,app(sk4,sk8)),X0),X0) = app(sk4,app(sk4,sk8)) )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_81233,c_378]) ).
tcf(c_82055,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk8)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_81233,c_375]) ).
tcf(c_82059,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk4)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(sk8,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_81233,c_81078]) ).
tcf(c_82060,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(sk8,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_81233,c_81066]) ).
tcf(c_82062,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk4)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk8,cons(sk5,sk4))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_81233,c_66649]) ).
tcf(c_82063,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk4)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_81233,c_68485]) ).
tcf(c_82064,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk4)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_81233,c_68796]) ).
tcf(c_82065,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk4)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(sk8,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_81233,c_69620]) ).
tcf(c_82066,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82062,c_66402,c_79220]) ).
tcf(c_82069,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk8,X1)
| ~ rearsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82053,c_79220]) ).
tcf(c_82075,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82065,c_79220,c_68959]) ).
tcf(c_82078,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82064,c_79220,c_68529]) ).
tcf(c_82081,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82063,c_79220,c_68222]) ).
tcf(c_82084,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82060,c_79220,c_79223]) ).
tcf(c_82087,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82059,c_79220,c_79226]) ).
tcf(c_82090,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk8)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ rearsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82055,c_79220]) ).
tcf(c_82095,plain,
! [X0: $i] :
( ( app(skaf46(app(sk4,app(sk4,sk8)),X0),X0) = app(sk4,app(sk4,sk8)) )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82054,c_79220]) ).
tcf(c_82302,plain,
! [X0: $i] :
( ( app(skaf42(app(sk4,app(sk4,sk8)),X0),cons(X0,skaf43(X0,app(sk4,app(sk4,sk8))))) = app(sk4,app(sk4,sk8)) )
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_81237,c_416]) ).
tcf(c_82303,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk4,sk8),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_81237,c_405]) ).
tcf(c_82304,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk4,sk8),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82303,c_6486]) ).
tcf(c_82310,plain,
! [X0: $i] :
( ( app(skaf42(app(sk4,app(sk4,sk8)),X0),cons(X0,skaf43(X0,app(sk4,app(sk4,sk8))))) = app(sk4,app(sk4,sk8)) )
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82302,c_79220]) ).
tcf(c_82322,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7))
| ~ ssList(app(app(skaf46(app(sk4,app(sk4,sk7)),sk7),sk7),X0)) ),
inference(superposition,[status(thm)],[c_81073,c_420]) ).
tcf(c_82323,plain,
! [X0: $i] :
( ( skaf46(app(sk4,app(sk4,sk7)),sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7))
| ( app(sk4,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_81073,c_398]) ).
tcf(c_82325,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(app(sk4,app(sk4,sk7)),sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_81073,c_405]) ).
tcf(c_82326,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7))
| ( app(sk4,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_81073,c_366]) ).
tcf(c_82327,plain,
( ( skaf46(app(sk4,app(sk4,sk7)),sk7) = nil )
| ~ ssList(sk7)
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7))
| ( app(sk4,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_81073,c_365]) ).
tcf(c_82328,plain,
( frontsegP(app(sk4,app(sk4,sk7)),skaf46(app(sk4,app(sk4,sk7)),sk7))
| ~ ssList(sk7)
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_81073,c_808]) ).
tcf(c_82330,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_81073,c_388]) ).
tcf(c_82331,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_81073,c_383]) ).
tcf(c_82332,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7))
| ( app(skaf46(app(sk4,app(sk4,sk7)),sk7),X0) != app(sk4,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_81073,c_397]) ).
tcf(c_82333,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7))
| ~ memberP(skaf46(app(sk4,app(sk4,sk7)),sk7),X0) ),
inference(superposition,[status(thm)],[c_81073,c_387]) ).
tcf(c_82334,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7))
| ~ frontsegP(skaf46(app(sk4,app(sk4,sk7)),sk7),X0) ),
inference(superposition,[status(thm)],[c_81073,c_384]) ).
tcf(c_82335,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_81073,c_419]) ).
tcf(c_82336,plain,
( ( skaf46(app(sk4,app(sk4,sk7)),sk7) = iPr_def_14 )
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7))
| ( app(sk4,app(sk4,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_81073,c_51335]) ).
tcf(c_82337,plain,
( ( skaf46(app(sk4,app(sk4,sk7)),sk7) = nil )
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7))
| ( app(sk4,app(sk4,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_81073,c_17625]) ).
tcf(c_82338,plain,
frontsegP(app(sk4,app(sk4,sk7)),skaf46(app(sk4,app(sk4,sk7)),sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_82328,c_6483,c_297]) ).
tcf(c_82339,plain,
( ( sk7 = nil )
| ( app(sk4,app(sk4,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82326,c_6483,c_297]) ).
tcf(c_82342,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82331,c_6483,c_297]) ).
tcf(c_82346,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82330,c_6483,c_297]) ).
tcf(c_82350,plain,
( ( skaf46(app(sk4,app(sk4,sk7)),sk7) = nil )
| ( app(sk4,app(sk4,sk7)) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82337,c_297]) ).
tcf(c_82353,plain,
( ( skaf46(app(sk4,app(sk4,sk7)),sk7) = iPr_def_14 )
| ( app(sk4,app(sk4,sk7)) != cons(sk6,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82336,c_297]) ).
tcf(c_82356,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82335,c_6483,c_297]) ).
tcf(c_82361,plain,
( ( skaf46(app(sk4,app(sk4,sk7)),sk7) = nil )
| ( app(sk4,app(sk4,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82327,c_6483,c_297]) ).
tcf(c_82364,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(app(sk4,app(sk4,sk7)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82334,c_6483,c_297]) ).
tcf(c_82368,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(app(sk4,app(sk4,sk7)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82333,c_6483,c_297]) ).
tcf(c_82372,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(app(sk4,app(sk4,sk7)),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk4,app(sk4,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82325,c_6483,c_297]) ).
tcf(c_82377,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(skaf46(app(sk4,app(sk4,sk7)),sk7),X0) != app(sk4,app(sk4,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82332,c_6483,c_297]) ).
tcf(c_82381,plain,
! [X0: $i] :
( ( skaf46(app(sk4,app(sk4,sk7)),sk7) = X0 )
| ~ ssList(X0)
| ( app(sk4,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82323,c_6483,c_297]) ).
tcf(c_82385,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7))
| ~ ssList(app(app(sk4,app(sk4,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_82322,c_81073]) ).
tcf(c_82386,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(app(sk4,app(sk4,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82385,c_6483,c_297]) ).
tcf(c_82449,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk4,app(sk4,sk7)),sk7))
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk7)))
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_82338,c_401]) ).
tcf(c_82450,plain,
( ( app(skaf46(app(sk4,app(sk4,sk7)),sk7),skaf45(app(sk4,app(sk4,sk7)),skaf46(app(sk4,app(sk4,sk7)),sk7))) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_82338,c_379]) ).
tcf(c_82451,plain,
( ( skaf46(app(sk4,app(sk4,sk7)),sk7) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7))
| ~ frontsegP(skaf46(app(sk4,app(sk4,sk7)),sk7),app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_82338,c_376]) ).
tcf(c_82452,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk4,app(sk4,sk7)),sk7))
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82449,c_79223,c_297]) ).
tcf(c_82456,plain,
( ( skaf46(app(sk4,app(sk4,sk7)),sk7) = app(sk4,app(sk4,sk7)) )
| ~ frontsegP(skaf46(app(sk4,app(sk4,sk7)),sk7),app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82451,c_79223,c_297]) ).
tcf(c_82459,plain,
app(skaf46(app(sk4,app(sk4,sk7)),sk7),skaf45(app(sk4,app(sk4,sk7)),skaf46(app(sk4,app(sk4,sk7)),sk7))) = app(sk4,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_82450,c_79223,c_297]) ).
tcf(c_82469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf67(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf67(X1)))
| ~ ssList(tl(skaf67(X1)))
| ~ leq(X2,hd(skaf67(X1)))
| ~ leq(hd(skaf67(X1)),X2)
| ~ ssList(app(app(X0,skaf67(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf67(X1)),tl(skaf67(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10780,c_432]) ).
tcf(c_82470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf67(X1)))
| leq(hd(skaf67(X1)),X2)
| ( skaf67(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf67(X1)))
| ~ ssList(tl(skaf67(X1)))
| ~ ssList(app(app(X0,skaf67(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf67(X1)),tl(skaf67(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10780,c_431]) ).
tcf(c_82471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf67(X1)))
| lt(hd(skaf67(X1)),X2)
| ( skaf67(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf67(X1)))
| ~ ssList(tl(skaf67(X1)))
| ~ ssList(app(app(X0,skaf67(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf67(X1)),tl(skaf67(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10780,c_430]) ).
tcf(c_82472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf67(X1)),X2)
| ( skaf67(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf67(X1)))
| ~ ssList(tl(skaf67(X1)))
| ~ ssList(app(app(X0,skaf67(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf67(X1)),tl(skaf67(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10780,c_429]) ).
tcf(c_82473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf67(X1)),X2)
| ( skaf67(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf67(X1)))
| ~ ssList(tl(skaf67(X1)))
| ~ ssList(app(app(X0,skaf67(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf67(X1)),tl(skaf67(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10780,c_428]) ).
tcf(c_82474,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf67(X1)))
| ~ ssList(tl(skaf67(X1)))
| ~ ssList(app(app(X0,skaf67(X1)),cons(hd(skaf67(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf67(X1)),tl(skaf67(X1)))),cons(hd(skaf67(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10780,c_426]) ).
tcf(c_82475,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf67(X1)),hd(skaf67(X1)))
| ( skaf67(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf67(X1)))
| ~ ssList(tl(skaf67(X1)))
| ~ ssList(app(X0,cons(hd(skaf67(X1)),tl(skaf67(X1))))) ),
inference(superposition,[status(thm)],[c_10780,c_422]) ).
tcf(c_82476,plain,
! [X0: $i] :
( memberP(skaf67(X0),hd(skaf67(X0)))
| ( skaf67(X0) = nil )
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10780,c_385]) ).
tcf(c_82478,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( tl(skaf67(X0)) = nil )
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0)))
| ( skaf67(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10780,c_21847]) ).
tcf(c_82479,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( tl(skaf67(X0)) = nil )
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0)))
| ( skaf67(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10780,c_21842]) ).
tcf(c_82480,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( hd(skaf67(X0)) = sk5 )
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0)))
| ( skaf67(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10780,c_21750]) ).
tcf(c_82481,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( hd(skaf67(X0)) = sk6 )
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0)))
| ( skaf67(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10780,c_21745]) ).
tcf(c_82482,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( hd(skaf67(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf67(X0))
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10780,c_21595]) ).
tcf(c_82483,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( hd(skaf67(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf67(X0))
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10780,c_21590]) ).
tcf(c_82484,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( hd(skaf67(X0)) = sk5 )
| ~ frontsegP(skaf67(X0),iPr_def_12)
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10780,c_21585]) ).
tcf(c_82485,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( hd(skaf67(X0)) = sk6 )
| ~ frontsegP(skaf67(X0),iPr_def_14)
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10780,c_21580]) ).
tcf(c_82486,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf67(X0)))
| ( skaf67(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf67(X0))
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10780,c_21202]) ).
tcf(c_82487,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf67(X0)))
| ( skaf67(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf67(X0))
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10780,c_21197]) ).
tcf(c_82490,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X0) = nil )
| ( hd(skaf67(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0)))
| ~ frontsegP(skaf67(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10780,c_423]) ).
tcf(c_82491,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf67(X0)),X2)
| ( skaf67(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0)))
| ~ frontsegP(skaf67(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10780,c_421]) ).
tcf(c_82492,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf67(X0)),X1)
| ( skaf67(X0) = nil )
| ( hd(skaf67(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0)))
| ~ memberP(skaf67(X0),X1) ),
inference(superposition,[status(thm)],[c_10780,c_408]) ).
tcf(c_82493,plain,
! [X0: $i] :
( leq(hd(skaf67(X0)),hd(tl(skaf67(X0))))
| ( skaf67(X0) = nil )
| ( tl(skaf67(X0)) = nil )
| ~ totalorderedP(skaf67(X0))
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10780,c_382]) ).
tcf(c_82494,plain,
! [X0: $i] :
( lt(hd(skaf67(X0)),hd(tl(skaf67(X0))))
| ( skaf67(X0) = nil )
| ( tl(skaf67(X0)) = nil )
| ~ strictorderedP(skaf67(X0))
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10780,c_381]) ).
tcf(c_82495,plain,
! [X0: $i] :
( totalorderedP(tl(skaf67(X0)))
| ( skaf67(X0) = nil )
| ( tl(skaf67(X0)) = nil )
| ~ totalorderedP(skaf67(X0))
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10780,c_372]) ).
tcf(c_82496,plain,
! [X0: $i] :
( strictorderedP(tl(skaf67(X0)))
| ( skaf67(X0) = nil )
| ( tl(skaf67(X0)) = nil )
| ~ strictorderedP(skaf67(X0))
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10780,c_371]) ).
tcf(c_82497,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0)))
| ( tl(skaf67(X0)) != skaf67(X0) ) ),
inference(superposition,[status(thm)],[c_10780,c_346]) ).
tcf(c_82499,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf67(X1)),X0),skaf67(X1))
| ( skaf67(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf67(X1)))
| ~ ssList(tl(skaf67(X1)))
| ~ frontsegP(X0,tl(skaf67(X1))) ),
inference(superposition,[status(thm)],[c_10780,c_425]) ).
tcf(c_82500,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X2) = nil )
| ( hd(skaf67(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf67(X2)))
| ~ ssList(tl(skaf67(X2)))
| ~ ssList(app(X0,cons(X1,skaf67(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf67(X2)),tl(skaf67(X2)))))) ),
inference(superposition,[status(thm)],[c_10780,c_427]) ).
tcf(c_82501,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X2) = nil )
| ( tl(skaf67(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf67(X2)))
| ~ ssList(tl(skaf67(X2)))
| ( cons(X0,X1) != skaf67(X2) ) ),
inference(superposition,[status(thm)],[c_10780,c_418]) ).
tcf(c_82502,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X2) = nil )
| ( hd(skaf67(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf67(X2)))
| ~ ssList(tl(skaf67(X2)))
| ( cons(X0,X1) != skaf67(X2) ) ),
inference(superposition,[status(thm)],[c_10780,c_417]) ).
tcf(c_82503,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X2) = nil )
| ( hd(skaf67(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf67(X2)))
| ~ ssList(tl(skaf67(X2)))
| ~ frontsegP(cons(X0,X1),skaf67(X2)) ),
inference(superposition,[status(thm)],[c_10780,c_423]) ).
tcf(c_82504,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf67(X2)))
| ( skaf67(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf67(X2)))
| ~ ssList(tl(skaf67(X2)))
| ~ frontsegP(cons(X0,X1),skaf67(X2)) ),
inference(superposition,[status(thm)],[c_10780,c_421]) ).
tcf(c_82505,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf67(X0),cons(hd(skaf67(X0)),X1))
| ( skaf67(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0)))
| ~ frontsegP(tl(skaf67(X0)),X1) ),
inference(superposition,[status(thm)],[c_10780,c_425]) ).
tcf(c_82506,plain,
! [X0: $i,X1: $i] :
( memberP(skaf67(X0),X1)
| ( skaf67(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf67(X0)))
| ~ ssList(tl(skaf67(X0)))
| ~ memberP(tl(skaf67(X0)),X1) ),
inference(superposition,[status(thm)],[c_10780,c_386]) ).
tcf(c_82507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf67(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf67(X3)))
| ~ ssList(tl(skaf67(X3)))
| ~ leq(X1,hd(skaf67(X3)))
| ~ leq(hd(skaf67(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf67(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf67(X3)),tl(skaf67(X3))))) ),
inference(superposition,[status(thm)],[c_10780,c_432]) ).
tcf(c_82508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf67(X3)))
| leq(hd(skaf67(X3)),X1)
| ( skaf67(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf67(X3)))
| ~ ssList(tl(skaf67(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf67(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf67(X3)),tl(skaf67(X3))))) ),
inference(superposition,[status(thm)],[c_10780,c_431]) ).
tcf(c_82509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf67(X3)))
| lt(hd(skaf67(X3)),X1)
| ( skaf67(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf67(X3)))
| ~ ssList(tl(skaf67(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf67(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf67(X3)),tl(skaf67(X3))))) ),
inference(superposition,[status(thm)],[c_10780,c_430]) ).
tcf(c_82510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf67(X3)))
| ( skaf67(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf67(X3)))
| ~ ssList(tl(skaf67(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf67(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf67(X3)),tl(skaf67(X3))))) ),
inference(superposition,[status(thm)],[c_10780,c_429]) ).
tcf(c_82511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf67(X3)))
| ( skaf67(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf67(X3)))
| ~ ssList(tl(skaf67(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf67(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf67(X3)),tl(skaf67(X3))))) ),
inference(superposition,[status(thm)],[c_10780,c_428]) ).
tcf(c_82512,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf67(X1)))
| ~ ssList(tl(skaf67(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf67(X1)),X2)),skaf67(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf67(X1)),X2)),cons(hd(skaf67(X1)),tl(skaf67(X1))))) ),
inference(superposition,[status(thm)],[c_10780,c_426]) ).
tcf(c_82876,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf56(X0))))
| ( cons(skac3,skaf56(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf56(X0)))
| ~ ssList(cons(skac3,skaf56(X0))) ),
inference(superposition,[status(thm)],[c_76094,c_407]) ).
tcf(c_82877,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf56(X0))))
| ( cons(skac3,skaf56(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf56(X0)))
| ~ ssList(cons(skac3,skaf56(X0))) ),
inference(superposition,[status(thm)],[c_76094,c_406]) ).
tcf(c_82893,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf53(X0))))
| ( cons(skac3,skaf53(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf53(X0)))
| ~ ssList(cons(skac3,skaf53(X0))) ),
inference(superposition,[status(thm)],[c_76095,c_407]) ).
tcf(c_82894,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf53(X0))))
| ( cons(skac3,skaf53(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf53(X0)))
| ~ ssList(cons(skac3,skaf53(X0))) ),
inference(superposition,[status(thm)],[c_76095,c_406]) ).
tcf(c_82910,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf52(X0))))
| ( cons(skac3,skaf52(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf52(X0)))
| ~ ssList(cons(skac3,skaf52(X0))) ),
inference(superposition,[status(thm)],[c_76096,c_407]) ).
tcf(c_82911,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf52(X0))))
| ( cons(skac3,skaf52(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf52(X0)))
| ~ ssList(cons(skac3,skaf52(X0))) ),
inference(superposition,[status(thm)],[c_76096,c_406]) ).
tcf(c_82927,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac3,skaf51(X0))))
| ( cons(skac3,skaf51(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac3)
| ~ strictorderedP(cons(skac3,skaf51(X0)))
| ~ ssList(cons(skac3,skaf51(X0))) ),
inference(superposition,[status(thm)],[c_76097,c_407]) ).
tcf(c_82928,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac3,skaf51(X0))))
| ( cons(skac3,skaf51(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac3)
| ~ totalorderedP(cons(skac3,skaf51(X0)))
| ~ ssList(cons(skac3,skaf51(X0))) ),
inference(superposition,[status(thm)],[c_76097,c_406]) ).
tcf(c_82968,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_51523,c_401]) ).
tcf(c_82969,plain,
( ( app(sk7,skaf45(cons(sk6,sk7),sk7)) = cons(sk6,sk7) )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_51523,c_379]) ).
tcf(c_82970,plain,
( ( cons(sk6,sk7) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk7,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_51523,c_376]) ).
tcf(c_82971,plain,
( ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk7,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82970,c_51315,c_6483,c_28940]) ).
tcf(c_82974,plain,
( ( app(sk7,skaf45(cons(sk6,sk7),sk7)) = cons(sk6,sk7) )
| ~ frontsegP(iPr_def_14,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82969,c_6483,c_28940]) ).
tcf(c_82977,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82968,c_6483,c_28940]) ).
tcf(c_82993,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_82342,c_400]) ).
tcf(c_82994,plain,
! [X0: $i] :
( ( app(skaf46(app(sk4,app(sk4,sk7)),X0),X0) = app(sk4,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_82342,c_378]) ).
tcf(c_82995,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_82342,c_375]) ).
tcf(c_82996,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_82342,c_15170]) ).
tcf(c_82998,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ rearsegP(sk7,cons(sk6,sk4))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_82342,c_69708]) ).
tcf(c_82999,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_82342,c_81078]) ).
tcf(c_83001,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_82342,c_81049]) ).
tcf(c_83002,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk4)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk7,cons(sk5,sk4))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_82342,c_66649]) ).
tcf(c_83003,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_82342,c_68485]) ).
tcf(c_83004,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_82342,c_68796]) ).
tcf(c_83005,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_82342,c_69620]) ).
tcf(c_83006,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82996,c_9020,c_79223]) ).
tcf(c_83009,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83002,c_66402,c_79223]) ).
tcf(c_83012,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ rearsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82993,c_79223]) ).
tcf(c_83018,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83005,c_79223,c_68959]) ).
tcf(c_83021,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83004,c_79223,c_68529]) ).
tcf(c_83024,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83003,c_79223,c_68222]) ).
tcf(c_83027,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83001,c_79220,c_79223]) ).
tcf(c_83030,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82999,c_79223,c_79226]) ).
tcf(c_83033,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk7,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82998,c_28942,c_79223]) ).
tcf(c_83037,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ rearsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82995,c_79223]) ).
tcf(c_83042,plain,
! [X0: $i] :
( ( app(skaf46(app(sk4,app(sk4,sk7)),X0),X0) = app(sk4,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82994,c_79223]) ).
tcf(c_83118,plain,
! [X0: $i] :
( ( app(skaf42(app(sk4,app(sk4,sk7)),X0),cons(X0,skaf43(X0,app(sk4,app(sk4,sk7))))) = app(sk4,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_82346,c_416]) ).
tcf(c_83119,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk4,sk7),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_82346,c_405]) ).
tcf(c_83120,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk4,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83119,c_6486]) ).
tcf(c_83126,plain,
! [X0: $i] :
( ( app(skaf42(app(sk4,app(sk4,sk7)),X0),cons(X0,skaf43(X0,app(sk4,app(sk4,sk7))))) = app(sk4,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83118,c_79223]) ).
tcf(c_83138,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4))
| ~ ssList(app(app(skaf46(app(sk4,app(sk4,sk4)),sk4),sk4),X0)) ),
inference(superposition,[status(thm)],[c_81085,c_420]) ).
tcf(c_83139,plain,
! [X0: $i] :
( ( skaf46(app(sk4,app(sk4,sk4)),sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4))
| ( app(sk4,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_81085,c_398]) ).
tcf(c_83141,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(app(sk4,app(sk4,sk4)),sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_81085,c_405]) ).
tcf(c_83142,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4))
| ( app(sk4,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_81085,c_366]) ).
tcf(c_83143,plain,
( ( skaf46(app(sk4,app(sk4,sk4)),sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4))
| ( app(sk4,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_81085,c_365]) ).
tcf(c_83144,plain,
( frontsegP(app(sk4,app(sk4,sk4)),skaf46(app(sk4,app(sk4,sk4)),sk4))
| ~ ssList(sk4)
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_81085,c_808]) ).
tcf(c_83146,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_81085,c_388]) ).
tcf(c_83147,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_81085,c_383]) ).
tcf(c_83148,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4))
| ( app(skaf46(app(sk4,app(sk4,sk4)),sk4),X0) != app(sk4,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_81085,c_397]) ).
tcf(c_83149,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4))
| ~ memberP(skaf46(app(sk4,app(sk4,sk4)),sk4),X0) ),
inference(superposition,[status(thm)],[c_81085,c_387]) ).
tcf(c_83150,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4))
| ~ frontsegP(skaf46(app(sk4,app(sk4,sk4)),sk4),X0) ),
inference(superposition,[status(thm)],[c_81085,c_384]) ).
tcf(c_83151,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_81085,c_419]) ).
tcf(c_83152,plain,
( ( skaf46(app(sk4,app(sk4,sk4)),sk4) = iPr_def_12 )
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4))
| ( app(sk4,app(sk4,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_81085,c_66433]) ).
tcf(c_83153,plain,
( ( skaf46(app(sk4,app(sk4,sk4)),sk4) = iPr_def_14 )
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4))
| ( app(sk4,app(sk4,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_81085,c_51225]) ).
tcf(c_83154,plain,
( ( skaf46(app(sk4,app(sk4,sk4)),sk4) = nil )
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4))
| ( app(sk4,app(sk4,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_81085,c_17629]) ).
tcf(c_83155,plain,
frontsegP(app(sk4,app(sk4,sk4)),skaf46(app(sk4,app(sk4,sk4)),sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_83144,c_6486,c_297]) ).
tcf(c_83156,plain,
( ( sk4 = nil )
| ( app(sk4,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83142,c_6486,c_297]) ).
tcf(c_83159,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83147,c_6486,c_297]) ).
tcf(c_83163,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83146,c_6486,c_297]) ).
tcf(c_83167,plain,
( ( skaf46(app(sk4,app(sk4,sk4)),sk4) = nil )
| ( app(sk4,app(sk4,sk4)) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83154,c_297]) ).
tcf(c_83170,plain,
( ( skaf46(app(sk4,app(sk4,sk4)),sk4) = iPr_def_14 )
| ( app(sk4,app(sk4,sk4)) != cons(sk6,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83153,c_297]) ).
tcf(c_83173,plain,
( ( skaf46(app(sk4,app(sk4,sk4)),sk4) = iPr_def_12 )
| ( app(sk4,app(sk4,sk4)) != cons(sk5,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83152,c_297]) ).
tcf(c_83176,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83151,c_6486,c_297]) ).
tcf(c_83181,plain,
( ( skaf46(app(sk4,app(sk4,sk4)),sk4) = nil )
| ( app(sk4,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83143,c_6486,c_297]) ).
tcf(c_83184,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(app(sk4,app(sk4,sk4)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83150,c_6486,c_297]) ).
tcf(c_83188,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(app(sk4,app(sk4,sk4)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83149,c_6486,c_297]) ).
tcf(c_83192,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(app(sk4,app(sk4,sk4)),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk4,app(sk4,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83141,c_6486,c_297]) ).
tcf(c_83197,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(skaf46(app(sk4,app(sk4,sk4)),sk4),X0) != app(sk4,app(sk4,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83148,c_6486,c_297]) ).
tcf(c_83201,plain,
! [X0: $i] :
( ( skaf46(app(sk4,app(sk4,sk4)),sk4) = X0 )
| ~ ssList(X0)
| ( app(sk4,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83139,c_6486,c_297]) ).
tcf(c_83205,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4))
| ~ ssList(app(app(sk4,app(sk4,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_83138,c_81085]) ).
tcf(c_83206,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(app(sk4,app(sk4,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83205,c_6486,c_297]) ).
tcf(c_83242,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk4,app(sk4,sk4)),sk4))
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk4)))
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_83155,c_401]) ).
tcf(c_83243,plain,
( ( app(skaf46(app(sk4,app(sk4,sk4)),sk4),skaf45(app(sk4,app(sk4,sk4)),skaf46(app(sk4,app(sk4,sk4)),sk4))) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_83155,c_379]) ).
tcf(c_83244,plain,
( ( skaf46(app(sk4,app(sk4,sk4)),sk4) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(skaf46(app(sk4,app(sk4,sk4)),sk4))
| ~ frontsegP(skaf46(app(sk4,app(sk4,sk4)),sk4),app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_83155,c_376]) ).
tcf(c_83245,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk4,app(sk4,sk4)),sk4))
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83242,c_79226,c_297]) ).
tcf(c_83249,plain,
( ( skaf46(app(sk4,app(sk4,sk4)),sk4) = app(sk4,app(sk4,sk4)) )
| ~ frontsegP(skaf46(app(sk4,app(sk4,sk4)),sk4),app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83244,c_79226,c_297]) ).
tcf(c_83252,plain,
app(skaf46(app(sk4,app(sk4,sk4)),sk4),skaf45(app(sk4,app(sk4,sk4)),skaf46(app(sk4,app(sk4,sk4)),sk4))) = app(sk4,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_83243,c_79226,c_297]) ).
tcf(c_83272,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_83159,c_400]) ).
tcf(c_83273,plain,
! [X0: $i] :
( ( app(skaf46(app(sk4,app(sk4,sk4)),X0),X0) = app(sk4,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_83159,c_378]) ).
tcf(c_83274,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_83159,c_375]) ).
tcf(c_83275,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_83159,c_15170]) ).
tcf(c_83276,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ rearsegP(sk4,cons(sk6,sk7))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_83159,c_69731]) ).
tcf(c_83279,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_83159,c_81066]) ).
tcf(c_83280,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_83159,c_81049]) ).
tcf(c_83285,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83275,c_9020,c_79226]) ).
tcf(c_83288,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ rearsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83272,c_79226]) ).
tcf(c_83294,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83280,c_79220,c_79226]) ).
tcf(c_83297,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83279,c_79223,c_79226]) ).
tcf(c_83300,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ rearsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83276,c_28940,c_79226]) ).
tcf(c_83304,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ rearsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83274,c_79226]) ).
tcf(c_83309,plain,
! [X0: $i] :
( ( app(skaf46(app(sk4,app(sk4,sk4)),X0),X0) = app(sk4,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83273,c_79226]) ).
tcf(c_83344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf66(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf66(X1)))
| ~ ssList(tl(skaf66(X1)))
| ~ leq(X2,hd(skaf66(X1)))
| ~ leq(hd(skaf66(X1)),X2)
| ~ ssList(app(app(X0,skaf66(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf66(X1)),tl(skaf66(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10781,c_432]) ).
tcf(c_83345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf66(X1)))
| leq(hd(skaf66(X1)),X2)
| ( skaf66(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf66(X1)))
| ~ ssList(tl(skaf66(X1)))
| ~ ssList(app(app(X0,skaf66(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf66(X1)),tl(skaf66(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10781,c_431]) ).
tcf(c_83346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf66(X1)))
| lt(hd(skaf66(X1)),X2)
| ( skaf66(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf66(X1)))
| ~ ssList(tl(skaf66(X1)))
| ~ ssList(app(app(X0,skaf66(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf66(X1)),tl(skaf66(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10781,c_430]) ).
tcf(c_83347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf66(X1)),X2)
| ( skaf66(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf66(X1)))
| ~ ssList(tl(skaf66(X1)))
| ~ ssList(app(app(X0,skaf66(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf66(X1)),tl(skaf66(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10781,c_429]) ).
tcf(c_83348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf66(X1)),X2)
| ( skaf66(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf66(X1)))
| ~ ssList(tl(skaf66(X1)))
| ~ ssList(app(app(X0,skaf66(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf66(X1)),tl(skaf66(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10781,c_428]) ).
tcf(c_83349,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf66(X1)))
| ~ ssList(tl(skaf66(X1)))
| ~ ssList(app(app(X0,skaf66(X1)),cons(hd(skaf66(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf66(X1)),tl(skaf66(X1)))),cons(hd(skaf66(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10781,c_426]) ).
tcf(c_83350,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf66(X1)),hd(skaf66(X1)))
| ( skaf66(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf66(X1)))
| ~ ssList(tl(skaf66(X1)))
| ~ ssList(app(X0,cons(hd(skaf66(X1)),tl(skaf66(X1))))) ),
inference(superposition,[status(thm)],[c_10781,c_422]) ).
tcf(c_83351,plain,
! [X0: $i] :
( memberP(skaf66(X0),hd(skaf66(X0)))
| ( skaf66(X0) = nil )
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10781,c_385]) ).
tcf(c_83353,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( tl(skaf66(X0)) = nil )
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0)))
| ( skaf66(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10781,c_21847]) ).
tcf(c_83354,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( tl(skaf66(X0)) = nil )
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0)))
| ( skaf66(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10781,c_21842]) ).
tcf(c_83355,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( hd(skaf66(X0)) = sk5 )
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0)))
| ( skaf66(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10781,c_21750]) ).
tcf(c_83356,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( hd(skaf66(X0)) = sk6 )
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0)))
| ( skaf66(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10781,c_21745]) ).
tcf(c_83357,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( hd(skaf66(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf66(X0))
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10781,c_21595]) ).
tcf(c_83358,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( hd(skaf66(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf66(X0))
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10781,c_21590]) ).
tcf(c_83359,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( hd(skaf66(X0)) = sk5 )
| ~ frontsegP(skaf66(X0),iPr_def_12)
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10781,c_21585]) ).
tcf(c_83360,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( hd(skaf66(X0)) = sk6 )
| ~ frontsegP(skaf66(X0),iPr_def_14)
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10781,c_21580]) ).
tcf(c_83361,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf66(X0)))
| ( skaf66(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf66(X0))
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10781,c_21202]) ).
tcf(c_83362,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf66(X0)))
| ( skaf66(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf66(X0))
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10781,c_21197]) ).
tcf(c_83365,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X0) = nil )
| ( hd(skaf66(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0)))
| ~ frontsegP(skaf66(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10781,c_423]) ).
tcf(c_83366,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf66(X0)),X2)
| ( skaf66(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0)))
| ~ frontsegP(skaf66(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10781,c_421]) ).
tcf(c_83367,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf66(X0)),X1)
| ( skaf66(X0) = nil )
| ( hd(skaf66(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0)))
| ~ memberP(skaf66(X0),X1) ),
inference(superposition,[status(thm)],[c_10781,c_408]) ).
tcf(c_83368,plain,
! [X0: $i] :
( leq(hd(skaf66(X0)),hd(tl(skaf66(X0))))
| ( skaf66(X0) = nil )
| ( tl(skaf66(X0)) = nil )
| ~ totalorderedP(skaf66(X0))
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10781,c_382]) ).
tcf(c_83369,plain,
! [X0: $i] :
( lt(hd(skaf66(X0)),hd(tl(skaf66(X0))))
| ( skaf66(X0) = nil )
| ( tl(skaf66(X0)) = nil )
| ~ strictorderedP(skaf66(X0))
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10781,c_381]) ).
tcf(c_83370,plain,
! [X0: $i] :
( totalorderedP(tl(skaf66(X0)))
| ( skaf66(X0) = nil )
| ( tl(skaf66(X0)) = nil )
| ~ totalorderedP(skaf66(X0))
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10781,c_372]) ).
tcf(c_83371,plain,
! [X0: $i] :
( strictorderedP(tl(skaf66(X0)))
| ( skaf66(X0) = nil )
| ( tl(skaf66(X0)) = nil )
| ~ strictorderedP(skaf66(X0))
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10781,c_371]) ).
tcf(c_83372,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0)))
| ( tl(skaf66(X0)) != skaf66(X0) ) ),
inference(superposition,[status(thm)],[c_10781,c_346]) ).
tcf(c_83374,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf66(X1)),X0),skaf66(X1))
| ( skaf66(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf66(X1)))
| ~ ssList(tl(skaf66(X1)))
| ~ frontsegP(X0,tl(skaf66(X1))) ),
inference(superposition,[status(thm)],[c_10781,c_425]) ).
tcf(c_83375,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X2) = nil )
| ( hd(skaf66(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf66(X2)))
| ~ ssList(tl(skaf66(X2)))
| ~ ssList(app(X0,cons(X1,skaf66(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf66(X2)),tl(skaf66(X2)))))) ),
inference(superposition,[status(thm)],[c_10781,c_427]) ).
tcf(c_83376,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X2) = nil )
| ( tl(skaf66(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf66(X2)))
| ~ ssList(tl(skaf66(X2)))
| ( cons(X0,X1) != skaf66(X2) ) ),
inference(superposition,[status(thm)],[c_10781,c_418]) ).
tcf(c_83377,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X2) = nil )
| ( hd(skaf66(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf66(X2)))
| ~ ssList(tl(skaf66(X2)))
| ( cons(X0,X1) != skaf66(X2) ) ),
inference(superposition,[status(thm)],[c_10781,c_417]) ).
tcf(c_83378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X2) = nil )
| ( hd(skaf66(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf66(X2)))
| ~ ssList(tl(skaf66(X2)))
| ~ frontsegP(cons(X0,X1),skaf66(X2)) ),
inference(superposition,[status(thm)],[c_10781,c_423]) ).
tcf(c_83379,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf66(X2)))
| ( skaf66(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf66(X2)))
| ~ ssList(tl(skaf66(X2)))
| ~ frontsegP(cons(X0,X1),skaf66(X2)) ),
inference(superposition,[status(thm)],[c_10781,c_421]) ).
tcf(c_83380,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf66(X0),cons(hd(skaf66(X0)),X1))
| ( skaf66(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0)))
| ~ frontsegP(tl(skaf66(X0)),X1) ),
inference(superposition,[status(thm)],[c_10781,c_425]) ).
tcf(c_83381,plain,
! [X0: $i,X1: $i] :
( memberP(skaf66(X0),X1)
| ( skaf66(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf66(X0)))
| ~ ssList(tl(skaf66(X0)))
| ~ memberP(tl(skaf66(X0)),X1) ),
inference(superposition,[status(thm)],[c_10781,c_386]) ).
tcf(c_83382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf66(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf66(X3)))
| ~ ssList(tl(skaf66(X3)))
| ~ leq(X1,hd(skaf66(X3)))
| ~ leq(hd(skaf66(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf66(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf66(X3)),tl(skaf66(X3))))) ),
inference(superposition,[status(thm)],[c_10781,c_432]) ).
tcf(c_83383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf66(X3)))
| leq(hd(skaf66(X3)),X1)
| ( skaf66(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf66(X3)))
| ~ ssList(tl(skaf66(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf66(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf66(X3)),tl(skaf66(X3))))) ),
inference(superposition,[status(thm)],[c_10781,c_431]) ).
tcf(c_83384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf66(X3)))
| lt(hd(skaf66(X3)),X1)
| ( skaf66(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf66(X3)))
| ~ ssList(tl(skaf66(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf66(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf66(X3)),tl(skaf66(X3))))) ),
inference(superposition,[status(thm)],[c_10781,c_430]) ).
tcf(c_83385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf66(X3)))
| ( skaf66(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf66(X3)))
| ~ ssList(tl(skaf66(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf66(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf66(X3)),tl(skaf66(X3))))) ),
inference(superposition,[status(thm)],[c_10781,c_429]) ).
tcf(c_83386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf66(X3)))
| ( skaf66(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf66(X3)))
| ~ ssList(tl(skaf66(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf66(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf66(X3)),tl(skaf66(X3))))) ),
inference(superposition,[status(thm)],[c_10781,c_428]) ).
tcf(c_83387,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf66(X1)))
| ~ ssList(tl(skaf66(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf66(X1)),X2)),skaf66(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf66(X1)),X2)),cons(hd(skaf66(X1)),tl(skaf66(X1))))) ),
inference(superposition,[status(thm)],[c_10781,c_426]) ).
tcf(c_83832,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(skac3,skaf48(X0,X1))))
| ( cons(skac3,skaf48(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,skac3)
| ~ strictorderedP(cons(skac3,skaf48(X0,X1)))
| ~ ssList(cons(skac3,skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_76098,c_407]) ).
tcf(c_83833,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(skac3,skaf48(X0,X1))))
| ( cons(skac3,skaf48(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,skac3)
| ~ totalorderedP(cons(skac3,skaf48(X0,X1)))
| ~ ssList(cons(skac3,skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_76098,c_406]) ).
tcf(c_83899,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(skac3,skaf47(X0,X1))))
| ( cons(skac3,skaf47(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,skac3)
| ~ strictorderedP(cons(skac3,skaf47(X0,X1)))
| ~ ssList(cons(skac3,skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_76099,c_407]) ).
tcf(c_83900,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(skac3,skaf47(X0,X1))))
| ( cons(skac3,skaf47(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,skac3)
| ~ totalorderedP(cons(skac3,skaf47(X0,X1)))
| ~ ssList(cons(skac3,skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_76099,c_406]) ).
tcf(c_83931,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(skac3,skaf46(X0,X1))))
| ( cons(skac3,skaf46(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,skac3)
| ~ strictorderedP(cons(skac3,skaf46(X0,X1)))
| ~ ssList(cons(skac3,skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_76100,c_407]) ).
tcf(c_83932,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(skac3,skaf46(X0,X1))))
| ( cons(skac3,skaf46(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,skac3)
| ~ totalorderedP(cons(skac3,skaf46(X0,X1)))
| ~ ssList(cons(skac3,skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_76100,c_406]) ).
tcf(c_83961,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(skac3,skaf45(X0,X1))))
| ( cons(skac3,skaf45(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,skac3)
| ~ strictorderedP(cons(skac3,skaf45(X0,X1)))
| ~ ssList(cons(skac3,skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_76101,c_407]) ).
tcf(c_83962,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(skac3,skaf45(X0,X1))))
| ( cons(skac3,skaf45(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,skac3)
| ~ totalorderedP(cons(skac3,skaf45(X0,X1)))
| ~ ssList(cons(skac3,skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_76101,c_406]) ).
tcf(c_83982,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_51526,c_401]) ).
tcf(c_83983,plain,
( ( app(sk7,skaf45(cons(sk6,sk7),sk7)) = cons(sk6,sk7) )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_51526,c_379]) ).
tcf(c_83984,plain,
( ( cons(sk6,sk7) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk7,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_51526,c_376]) ).
tcf(c_83985,plain,
( ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk7,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83984,c_51315,c_6483,c_28940]) ).
tcf(c_83988,plain,
( ( app(sk7,skaf45(cons(sk6,sk7),sk7)) = cons(sk6,sk7) )
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83983,c_6483,c_28940]) ).
tcf(c_83991,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83982,c_6483,c_28940]) ).
tcf(c_84001,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_51529,c_401]) ).
tcf(c_84002,plain,
( ( app(sk7,skaf45(cons(sk6,sk7),sk7)) = cons(sk6,sk7) )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_51529,c_379]) ).
tcf(c_84003,plain,
( ( cons(sk6,sk7) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk7,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_51529,c_376]) ).
tcf(c_84004,plain,
( ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk7,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84003,c_51315,c_6483,c_28940]) ).
tcf(c_84007,plain,
( ( app(sk7,skaf45(cons(sk6,sk7),sk7)) = cons(sk6,sk7) )
| ~ frontsegP(iPr_def_14,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84002,c_6483,c_28940]) ).
tcf(c_84010,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84001,c_6483,c_28940]) ).
tcf(c_84020,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_52086,c_401]) ).
tcf(c_84021,plain,
( ( app(sk7,skaf45(cons(sk6,sk8),sk7)) = cons(sk6,sk8) )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_52086,c_379]) ).
tcf(c_84022,plain,
( ( cons(sk6,sk8) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk7,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_52086,c_376]) ).
tcf(c_84023,plain,
( ( cons(sk6,sk8) = sk7 )
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk7,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84022,c_6483,c_28938]) ).
tcf(c_84027,plain,
( ( app(sk7,skaf45(cons(sk6,sk8),sk7)) = cons(sk6,sk8) )
| ~ frontsegP(iPr_def_14,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84021,c_6483,c_28938]) ).
tcf(c_84030,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84020,c_6483,c_28938]) ).
tcf(c_84040,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_52089,c_401]) ).
tcf(c_84041,plain,
( ( app(sk7,skaf45(cons(sk6,sk8),sk7)) = cons(sk6,sk8) )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_52089,c_379]) ).
tcf(c_84042,plain,
( ( cons(sk6,sk8) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk7,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_52089,c_376]) ).
tcf(c_84043,plain,
( ( cons(sk6,sk8) = sk7 )
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk7,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84042,c_6483,c_28938]) ).
tcf(c_84047,plain,
( ( app(sk7,skaf45(cons(sk6,sk8),sk7)) = cons(sk6,sk8) )
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84041,c_6483,c_28938]) ).
tcf(c_84050,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84040,c_6483,c_28938]) ).
tcf(c_84070,plain,
! [X0: $i] :
( ( app(skaf42(app(sk4,app(sk4,sk4)),X0),cons(X0,skaf43(X0,app(sk4,app(sk4,sk4))))) = app(sk4,app(sk4,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_83163,c_416]) ).
tcf(c_84072,plain,
! [X0: $i] :
( ( app(skaf42(app(sk4,app(sk4,sk4)),X0),cons(X0,skaf43(X0,app(sk4,app(sk4,sk4))))) = app(sk4,app(sk4,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84070,c_79226]) ).
tcf(c_84156,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_384,c_82977]) ).
tcf(c_84157,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(cons(sk6,sk7),X0)) ),
inference(superposition,[status(thm)],[c_808,c_82977]) ).
tcf(c_84158,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(X0,sk7)
| ~ ssList(cons(sk6,X0)) ),
inference(superposition,[status(thm)],[c_425,c_82977]) ).
tcf(c_84159,plain,
( frontsegP(iPr_def_14,sk7)
| ~ ssList(iPr_def_14)
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(nil,sk7) ),
inference(superposition,[status(thm)],[c_15753,c_82977]) ).
tcf(c_84163,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_79173,c_82977]) ).
tcf(c_84164,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_66408,c_82977]) ).
tcf(c_84166,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68539,c_82977]) ).
tcf(c_84168,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_68986,c_82977]) ).
tcf(c_84169,plain,
( frontsegP(iPr_def_14,sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(nil,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84159,c_9488,c_6483]) ).
tcf(c_84173,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84166,c_68529]) ).
tcf(c_84176,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(iPr_def_12,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84164,c_28940,c_66402]) ).
tcf(c_84180,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84163,c_79152,c_28940]) ).
tcf(c_84184,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(app(cons(sk6,sk7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84157,c_28940]) ).
tcf(c_84189,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(X0,sk7)
| ~ ssList(cons(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84158,c_6484,c_6483]) ).
tcf(c_84195,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(cons(sk6,sk8),cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84168,c_28940,c_68959]) ).
tcf(c_84199,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84156,c_28940]) ).
tcf(c_84228,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_384,c_83991]) ).
tcf(c_84229,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(cons(sk6,sk7),X0)) ),
inference(superposition,[status(thm)],[c_808,c_83991]) ).
tcf(c_84230,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(X0,sk7)
| ~ ssList(cons(sk6,X0)) ),
inference(superposition,[status(thm)],[c_425,c_83991]) ).
tcf(c_84231,plain,
( frontsegP(iPr_def_14,sk7)
| ~ ssList(iPr_def_14)
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(nil,sk7) ),
inference(superposition,[status(thm)],[c_15753,c_83991]) ).
tcf(c_84235,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_79173,c_83991]) ).
tcf(c_84236,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_66408,c_83991]) ).
tcf(c_84238,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68539,c_83991]) ).
tcf(c_84240,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_68986,c_83991]) ).
tcf(c_84241,plain,
( frontsegP(iPr_def_14,sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(nil,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84231,c_9488,c_6483]) ).
tcf(c_84245,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84238,c_68529]) ).
tcf(c_84248,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(iPr_def_12,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84236,c_28940,c_66402]) ).
tcf(c_84252,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84235,c_79152,c_28940]) ).
tcf(c_84256,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(app(cons(sk6,sk7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84229,c_28940]) ).
tcf(c_84261,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(X0,sk7)
| ~ ssList(cons(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84230,c_6484,c_6483]) ).
tcf(c_84267,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(cons(sk6,sk8),cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84240,c_28940,c_68959]) ).
tcf(c_84271,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84228,c_28940]) ).
tcf(c_84285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf63(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf63(X1)))
| ~ ssList(tl(skaf63(X1)))
| ~ leq(X2,hd(skaf63(X1)))
| ~ leq(hd(skaf63(X1)),X2)
| ~ ssList(app(app(X0,skaf63(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf63(X1)),tl(skaf63(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10782,c_432]) ).
tcf(c_84286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf63(X1)))
| leq(hd(skaf63(X1)),X2)
| ( skaf63(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf63(X1)))
| ~ ssList(tl(skaf63(X1)))
| ~ ssList(app(app(X0,skaf63(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf63(X1)),tl(skaf63(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10782,c_431]) ).
tcf(c_84287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf63(X1)))
| lt(hd(skaf63(X1)),X2)
| ( skaf63(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf63(X1)))
| ~ ssList(tl(skaf63(X1)))
| ~ ssList(app(app(X0,skaf63(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf63(X1)),tl(skaf63(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10782,c_430]) ).
tcf(c_84288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf63(X1)),X2)
| ( skaf63(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf63(X1)))
| ~ ssList(tl(skaf63(X1)))
| ~ ssList(app(app(X0,skaf63(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf63(X1)),tl(skaf63(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10782,c_429]) ).
tcf(c_84289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf63(X1)),X2)
| ( skaf63(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf63(X1)))
| ~ ssList(tl(skaf63(X1)))
| ~ ssList(app(app(X0,skaf63(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf63(X1)),tl(skaf63(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10782,c_428]) ).
tcf(c_84290,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf63(X1)))
| ~ ssList(tl(skaf63(X1)))
| ~ ssList(app(app(X0,skaf63(X1)),cons(hd(skaf63(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf63(X1)),tl(skaf63(X1)))),cons(hd(skaf63(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10782,c_426]) ).
tcf(c_84291,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf63(X1)),hd(skaf63(X1)))
| ( skaf63(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf63(X1)))
| ~ ssList(tl(skaf63(X1)))
| ~ ssList(app(X0,cons(hd(skaf63(X1)),tl(skaf63(X1))))) ),
inference(superposition,[status(thm)],[c_10782,c_422]) ).
tcf(c_84292,plain,
! [X0: $i] :
( memberP(skaf63(X0),hd(skaf63(X0)))
| ( skaf63(X0) = nil )
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10782,c_385]) ).
tcf(c_84294,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( tl(skaf63(X0)) = nil )
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0)))
| ( skaf63(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10782,c_21847]) ).
tcf(c_84295,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( tl(skaf63(X0)) = nil )
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0)))
| ( skaf63(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10782,c_21842]) ).
tcf(c_84296,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( hd(skaf63(X0)) = sk5 )
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0)))
| ( skaf63(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10782,c_21750]) ).
tcf(c_84297,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( hd(skaf63(X0)) = sk6 )
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0)))
| ( skaf63(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10782,c_21745]) ).
tcf(c_84298,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( hd(skaf63(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf63(X0))
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10782,c_21595]) ).
tcf(c_84299,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( hd(skaf63(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf63(X0))
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10782,c_21590]) ).
tcf(c_84300,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( hd(skaf63(X0)) = sk5 )
| ~ frontsegP(skaf63(X0),iPr_def_12)
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10782,c_21585]) ).
tcf(c_84301,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( hd(skaf63(X0)) = sk6 )
| ~ frontsegP(skaf63(X0),iPr_def_14)
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10782,c_21580]) ).
tcf(c_84302,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf63(X0)))
| ( skaf63(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf63(X0))
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10782,c_21202]) ).
tcf(c_84303,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf63(X0)))
| ( skaf63(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf63(X0))
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10782,c_21197]) ).
tcf(c_84306,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X0) = nil )
| ( hd(skaf63(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0)))
| ~ frontsegP(skaf63(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10782,c_423]) ).
tcf(c_84307,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf63(X0)),X2)
| ( skaf63(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0)))
| ~ frontsegP(skaf63(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10782,c_421]) ).
tcf(c_84308,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf63(X0)),X1)
| ( skaf63(X0) = nil )
| ( hd(skaf63(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0)))
| ~ memberP(skaf63(X0),X1) ),
inference(superposition,[status(thm)],[c_10782,c_408]) ).
tcf(c_84309,plain,
! [X0: $i] :
( leq(hd(skaf63(X0)),hd(tl(skaf63(X0))))
| ( skaf63(X0) = nil )
| ( tl(skaf63(X0)) = nil )
| ~ totalorderedP(skaf63(X0))
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10782,c_382]) ).
tcf(c_84310,plain,
! [X0: $i] :
( lt(hd(skaf63(X0)),hd(tl(skaf63(X0))))
| ( skaf63(X0) = nil )
| ( tl(skaf63(X0)) = nil )
| ~ strictorderedP(skaf63(X0))
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10782,c_381]) ).
tcf(c_84311,plain,
! [X0: $i] :
( totalorderedP(tl(skaf63(X0)))
| ( skaf63(X0) = nil )
| ( tl(skaf63(X0)) = nil )
| ~ totalorderedP(skaf63(X0))
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10782,c_372]) ).
tcf(c_84312,plain,
! [X0: $i] :
( strictorderedP(tl(skaf63(X0)))
| ( skaf63(X0) = nil )
| ( tl(skaf63(X0)) = nil )
| ~ strictorderedP(skaf63(X0))
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10782,c_371]) ).
tcf(c_84313,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0)))
| ( tl(skaf63(X0)) != skaf63(X0) ) ),
inference(superposition,[status(thm)],[c_10782,c_346]) ).
tcf(c_84315,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf63(X1)),X0),skaf63(X1))
| ( skaf63(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf63(X1)))
| ~ ssList(tl(skaf63(X1)))
| ~ frontsegP(X0,tl(skaf63(X1))) ),
inference(superposition,[status(thm)],[c_10782,c_425]) ).
tcf(c_84316,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X2) = nil )
| ( hd(skaf63(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf63(X2)))
| ~ ssList(tl(skaf63(X2)))
| ~ ssList(app(X0,cons(X1,skaf63(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf63(X2)),tl(skaf63(X2)))))) ),
inference(superposition,[status(thm)],[c_10782,c_427]) ).
tcf(c_84317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X2) = nil )
| ( tl(skaf63(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf63(X2)))
| ~ ssList(tl(skaf63(X2)))
| ( cons(X0,X1) != skaf63(X2) ) ),
inference(superposition,[status(thm)],[c_10782,c_418]) ).
tcf(c_84318,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X2) = nil )
| ( hd(skaf63(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf63(X2)))
| ~ ssList(tl(skaf63(X2)))
| ( cons(X0,X1) != skaf63(X2) ) ),
inference(superposition,[status(thm)],[c_10782,c_417]) ).
tcf(c_84319,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X2) = nil )
| ( hd(skaf63(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf63(X2)))
| ~ ssList(tl(skaf63(X2)))
| ~ frontsegP(cons(X0,X1),skaf63(X2)) ),
inference(superposition,[status(thm)],[c_10782,c_423]) ).
tcf(c_84320,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf63(X2)))
| ( skaf63(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf63(X2)))
| ~ ssList(tl(skaf63(X2)))
| ~ frontsegP(cons(X0,X1),skaf63(X2)) ),
inference(superposition,[status(thm)],[c_10782,c_421]) ).
tcf(c_84321,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf63(X0),cons(hd(skaf63(X0)),X1))
| ( skaf63(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0)))
| ~ frontsegP(tl(skaf63(X0)),X1) ),
inference(superposition,[status(thm)],[c_10782,c_425]) ).
tcf(c_84322,plain,
! [X0: $i,X1: $i] :
( memberP(skaf63(X0),X1)
| ( skaf63(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf63(X0)))
| ~ ssList(tl(skaf63(X0)))
| ~ memberP(tl(skaf63(X0)),X1) ),
inference(superposition,[status(thm)],[c_10782,c_386]) ).
tcf(c_84323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf63(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf63(X3)))
| ~ ssList(tl(skaf63(X3)))
| ~ leq(X1,hd(skaf63(X3)))
| ~ leq(hd(skaf63(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf63(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf63(X3)),tl(skaf63(X3))))) ),
inference(superposition,[status(thm)],[c_10782,c_432]) ).
tcf(c_84324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf63(X3)))
| leq(hd(skaf63(X3)),X1)
| ( skaf63(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf63(X3)))
| ~ ssList(tl(skaf63(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf63(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf63(X3)),tl(skaf63(X3))))) ),
inference(superposition,[status(thm)],[c_10782,c_431]) ).
tcf(c_84325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf63(X3)))
| lt(hd(skaf63(X3)),X1)
| ( skaf63(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf63(X3)))
| ~ ssList(tl(skaf63(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf63(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf63(X3)),tl(skaf63(X3))))) ),
inference(superposition,[status(thm)],[c_10782,c_430]) ).
tcf(c_84326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf63(X3)))
| ( skaf63(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf63(X3)))
| ~ ssList(tl(skaf63(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf63(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf63(X3)),tl(skaf63(X3))))) ),
inference(superposition,[status(thm)],[c_10782,c_429]) ).
tcf(c_84327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf63(X3)))
| ( skaf63(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf63(X3)))
| ~ ssList(tl(skaf63(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf63(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf63(X3)),tl(skaf63(X3))))) ),
inference(superposition,[status(thm)],[c_10782,c_428]) ).
tcf(c_84328,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf63(X1)))
| ~ ssList(tl(skaf63(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf63(X1)),X2)),skaf63(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf63(X1)),X2)),cons(hd(skaf63(X1)),tl(skaf63(X1))))) ),
inference(superposition,[status(thm)],[c_10782,c_426]) ).
tcf(c_84795,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(skac3,skaf43(X0,X1))))
| ( cons(skac3,skaf43(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,skac3)
| ~ strictorderedP(cons(skac3,skaf43(X0,X1)))
| ~ ssList(cons(skac3,skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_76102,c_407]) ).
tcf(c_84796,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(skac3,skaf43(X0,X1))))
| ( cons(skac3,skaf43(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,skac3)
| ~ totalorderedP(cons(skac3,skaf43(X0,X1)))
| ~ ssList(cons(skac3,skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_76102,c_406]) ).
tcf(c_84812,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(skac3,skaf42(X0,X1))))
| ( cons(skac3,skaf42(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,skac3)
| ~ strictorderedP(cons(skac3,skaf42(X0,X1)))
| ~ ssList(cons(skac3,skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_76103,c_407]) ).
tcf(c_84813,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(skac3,skaf42(X0,X1))))
| ( cons(skac3,skaf42(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,skac3)
| ~ totalorderedP(cons(skac3,skaf42(X0,X1)))
| ~ ssList(cons(skac3,skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_76103,c_406]) ).
tcf(c_84839,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_52092,c_401]) ).
tcf(c_84840,plain,
( ( app(sk7,skaf45(cons(sk6,sk8),sk7)) = cons(sk6,sk8) )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_52092,c_379]) ).
tcf(c_84841,plain,
( ( cons(sk6,sk8) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk7,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_52092,c_376]) ).
tcf(c_84842,plain,
( ( cons(sk6,sk8) = sk7 )
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk7,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84841,c_6483,c_28938]) ).
tcf(c_84846,plain,
( ( app(sk7,skaf45(cons(sk6,sk8),sk7)) = cons(sk6,sk8) )
| ~ frontsegP(iPr_def_14,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84840,c_6483,c_28938]) ).
tcf(c_84849,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84839,c_6483,c_28938]) ).
tcf(c_84855,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,cons(sk5,sk4))))
| ( cons(sk6,cons(sk5,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,cons(sk5,sk4)))
| ~ ssList(cons(sk6,cons(sk5,sk4))) ),
inference(superposition,[status(thm)],[c_66488,c_407]) ).
tcf(c_84856,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,cons(sk5,sk4))))
| ( cons(sk6,cons(sk5,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,cons(sk5,sk4)))
| ~ ssList(cons(sk6,cons(sk5,sk4))) ),
inference(superposition,[status(thm)],[c_66488,c_406]) ).
tcf(c_84872,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,cons(sk5,sk4))))
| ( cons(sk5,cons(sk5,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,cons(sk5,sk4)))
| ~ ssList(cons(sk5,cons(sk5,sk4))) ),
inference(superposition,[status(thm)],[c_66491,c_407]) ).
tcf(c_84873,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,cons(sk5,sk4))))
| ( cons(sk5,cons(sk5,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,cons(sk5,sk4)))
| ~ ssList(cons(sk5,cons(sk5,sk4))) ),
inference(superposition,[status(thm)],[c_66491,c_406]) ).
tcf(c_84908,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_384,c_84010]) ).
tcf(c_84909,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(cons(sk6,sk7),X0)) ),
inference(superposition,[status(thm)],[c_808,c_84010]) ).
tcf(c_84910,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(X0,sk7)
| ~ ssList(cons(sk6,X0)) ),
inference(superposition,[status(thm)],[c_425,c_84010]) ).
tcf(c_84911,plain,
( frontsegP(iPr_def_14,sk7)
| ~ ssList(iPr_def_14)
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(nil,sk7) ),
inference(superposition,[status(thm)],[c_15753,c_84010]) ).
tcf(c_84915,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_79173,c_84010]) ).
tcf(c_84916,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_66408,c_84010]) ).
tcf(c_84918,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68539,c_84010]) ).
tcf(c_84920,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_68986,c_84010]) ).
tcf(c_84921,plain,
( frontsegP(iPr_def_14,sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(nil,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84911,c_9488,c_6483]) ).
tcf(c_84925,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84918,c_68529]) ).
tcf(c_84928,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(iPr_def_12,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84916,c_28940,c_66402]) ).
tcf(c_84932,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84915,c_79152,c_28940]) ).
tcf(c_84936,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(app(cons(sk6,sk7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84909,c_28940]) ).
tcf(c_84941,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(X0,sk7)
| ~ ssList(cons(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84910,c_6484,c_6483]) ).
tcf(c_84947,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(cons(sk6,sk8),cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84920,c_28940,c_68959]) ).
tcf(c_84951,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84908,c_28940]) ).
tcf(c_84994,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_384,c_84030]) ).
tcf(c_84995,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(cons(sk6,sk8),X0)) ),
inference(superposition,[status(thm)],[c_808,c_84030]) ).
tcf(c_84996,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssItem(sk6)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(X0,sk8)
| ~ ssList(cons(sk6,X0)) ),
inference(superposition,[status(thm)],[c_425,c_84030]) ).
tcf(c_84997,plain,
( frontsegP(iPr_def_14,sk7)
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(nil,sk8) ),
inference(superposition,[status(thm)],[c_15753,c_84030]) ).
tcf(c_85001,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_79173,c_84030]) ).
tcf(c_85002,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_66408,c_84030]) ).
tcf(c_85005,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68969,c_84030]) ).
tcf(c_85007,plain,
( frontsegP(iPr_def_14,sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(nil,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84997,c_9488,c_6482]) ).
tcf(c_85011,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85005,c_68959]) ).
tcf(c_85014,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(iPr_def_12,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85002,c_28938,c_66402]) ).
tcf(c_85018,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85001,c_79152,c_28938]) ).
tcf(c_85022,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(app(cons(sk6,sk8),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84995,c_28938]) ).
tcf(c_85027,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(X0,sk8)
| ~ ssList(cons(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84996,c_6484,c_6482]) ).
tcf(c_85033,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84994,c_28938]) ).
tcf(c_85242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf62(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf62(X1)))
| ~ ssList(tl(skaf62(X1)))
| ~ leq(X2,hd(skaf62(X1)))
| ~ leq(hd(skaf62(X1)),X2)
| ~ ssList(app(app(X0,skaf62(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf62(X1)),tl(skaf62(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10783,c_432]) ).
tcf(c_85243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf62(X1)))
| leq(hd(skaf62(X1)),X2)
| ( skaf62(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf62(X1)))
| ~ ssList(tl(skaf62(X1)))
| ~ ssList(app(app(X0,skaf62(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf62(X1)),tl(skaf62(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10783,c_431]) ).
tcf(c_85244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf62(X1)))
| lt(hd(skaf62(X1)),X2)
| ( skaf62(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf62(X1)))
| ~ ssList(tl(skaf62(X1)))
| ~ ssList(app(app(X0,skaf62(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf62(X1)),tl(skaf62(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10783,c_430]) ).
tcf(c_85245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf62(X1)),X2)
| ( skaf62(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf62(X1)))
| ~ ssList(tl(skaf62(X1)))
| ~ ssList(app(app(X0,skaf62(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf62(X1)),tl(skaf62(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10783,c_429]) ).
tcf(c_85246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf62(X1)),X2)
| ( skaf62(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf62(X1)))
| ~ ssList(tl(skaf62(X1)))
| ~ ssList(app(app(X0,skaf62(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf62(X1)),tl(skaf62(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10783,c_428]) ).
tcf(c_85247,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf62(X1)))
| ~ ssList(tl(skaf62(X1)))
| ~ ssList(app(app(X0,skaf62(X1)),cons(hd(skaf62(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf62(X1)),tl(skaf62(X1)))),cons(hd(skaf62(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10783,c_426]) ).
tcf(c_85248,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf62(X1)),hd(skaf62(X1)))
| ( skaf62(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf62(X1)))
| ~ ssList(tl(skaf62(X1)))
| ~ ssList(app(X0,cons(hd(skaf62(X1)),tl(skaf62(X1))))) ),
inference(superposition,[status(thm)],[c_10783,c_422]) ).
tcf(c_85249,plain,
! [X0: $i] :
( memberP(skaf62(X0),hd(skaf62(X0)))
| ( skaf62(X0) = nil )
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10783,c_385]) ).
tcf(c_85251,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( tl(skaf62(X0)) = nil )
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0)))
| ( skaf62(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10783,c_21847]) ).
tcf(c_85252,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( tl(skaf62(X0)) = nil )
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0)))
| ( skaf62(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10783,c_21842]) ).
tcf(c_85253,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( hd(skaf62(X0)) = sk5 )
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0)))
| ( skaf62(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10783,c_21750]) ).
tcf(c_85254,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( hd(skaf62(X0)) = sk6 )
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0)))
| ( skaf62(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10783,c_21745]) ).
tcf(c_85255,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( hd(skaf62(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf62(X0))
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10783,c_21595]) ).
tcf(c_85256,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( hd(skaf62(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf62(X0))
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10783,c_21590]) ).
tcf(c_85257,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( hd(skaf62(X0)) = sk5 )
| ~ frontsegP(skaf62(X0),iPr_def_12)
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10783,c_21585]) ).
tcf(c_85258,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( hd(skaf62(X0)) = sk6 )
| ~ frontsegP(skaf62(X0),iPr_def_14)
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10783,c_21580]) ).
tcf(c_85259,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf62(X0)))
| ( skaf62(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf62(X0))
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10783,c_21202]) ).
tcf(c_85260,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf62(X0)))
| ( skaf62(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf62(X0))
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10783,c_21197]) ).
tcf(c_85263,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X0) = nil )
| ( hd(skaf62(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0)))
| ~ frontsegP(skaf62(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10783,c_423]) ).
tcf(c_85264,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf62(X0)),X2)
| ( skaf62(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0)))
| ~ frontsegP(skaf62(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10783,c_421]) ).
tcf(c_85265,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf62(X0)),X1)
| ( skaf62(X0) = nil )
| ( hd(skaf62(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0)))
| ~ memberP(skaf62(X0),X1) ),
inference(superposition,[status(thm)],[c_10783,c_408]) ).
tcf(c_85266,plain,
! [X0: $i] :
( leq(hd(skaf62(X0)),hd(tl(skaf62(X0))))
| ( skaf62(X0) = nil )
| ( tl(skaf62(X0)) = nil )
| ~ totalorderedP(skaf62(X0))
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10783,c_382]) ).
tcf(c_85267,plain,
! [X0: $i] :
( lt(hd(skaf62(X0)),hd(tl(skaf62(X0))))
| ( skaf62(X0) = nil )
| ( tl(skaf62(X0)) = nil )
| ~ strictorderedP(skaf62(X0))
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10783,c_381]) ).
tcf(c_85268,plain,
! [X0: $i] :
( totalorderedP(tl(skaf62(X0)))
| ( skaf62(X0) = nil )
| ( tl(skaf62(X0)) = nil )
| ~ totalorderedP(skaf62(X0))
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10783,c_372]) ).
tcf(c_85269,plain,
! [X0: $i] :
( strictorderedP(tl(skaf62(X0)))
| ( skaf62(X0) = nil )
| ( tl(skaf62(X0)) = nil )
| ~ strictorderedP(skaf62(X0))
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10783,c_371]) ).
tcf(c_85270,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0)))
| ( tl(skaf62(X0)) != skaf62(X0) ) ),
inference(superposition,[status(thm)],[c_10783,c_346]) ).
tcf(c_85272,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf62(X1)),X0),skaf62(X1))
| ( skaf62(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf62(X1)))
| ~ ssList(tl(skaf62(X1)))
| ~ frontsegP(X0,tl(skaf62(X1))) ),
inference(superposition,[status(thm)],[c_10783,c_425]) ).
tcf(c_85273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X2) = nil )
| ( hd(skaf62(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf62(X2)))
| ~ ssList(tl(skaf62(X2)))
| ~ ssList(app(X0,cons(X1,skaf62(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf62(X2)),tl(skaf62(X2)))))) ),
inference(superposition,[status(thm)],[c_10783,c_427]) ).
tcf(c_85274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X2) = nil )
| ( tl(skaf62(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf62(X2)))
| ~ ssList(tl(skaf62(X2)))
| ( cons(X0,X1) != skaf62(X2) ) ),
inference(superposition,[status(thm)],[c_10783,c_418]) ).
tcf(c_85275,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X2) = nil )
| ( hd(skaf62(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf62(X2)))
| ~ ssList(tl(skaf62(X2)))
| ( cons(X0,X1) != skaf62(X2) ) ),
inference(superposition,[status(thm)],[c_10783,c_417]) ).
tcf(c_85276,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X2) = nil )
| ( hd(skaf62(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf62(X2)))
| ~ ssList(tl(skaf62(X2)))
| ~ frontsegP(cons(X0,X1),skaf62(X2)) ),
inference(superposition,[status(thm)],[c_10783,c_423]) ).
tcf(c_85277,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf62(X2)))
| ( skaf62(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf62(X2)))
| ~ ssList(tl(skaf62(X2)))
| ~ frontsegP(cons(X0,X1),skaf62(X2)) ),
inference(superposition,[status(thm)],[c_10783,c_421]) ).
tcf(c_85278,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf62(X0),cons(hd(skaf62(X0)),X1))
| ( skaf62(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0)))
| ~ frontsegP(tl(skaf62(X0)),X1) ),
inference(superposition,[status(thm)],[c_10783,c_425]) ).
tcf(c_85279,plain,
! [X0: $i,X1: $i] :
( memberP(skaf62(X0),X1)
| ( skaf62(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf62(X0)))
| ~ ssList(tl(skaf62(X0)))
| ~ memberP(tl(skaf62(X0)),X1) ),
inference(superposition,[status(thm)],[c_10783,c_386]) ).
tcf(c_85280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf62(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf62(X3)))
| ~ ssList(tl(skaf62(X3)))
| ~ leq(X1,hd(skaf62(X3)))
| ~ leq(hd(skaf62(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf62(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf62(X3)),tl(skaf62(X3))))) ),
inference(superposition,[status(thm)],[c_10783,c_432]) ).
tcf(c_85281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf62(X3)))
| leq(hd(skaf62(X3)),X1)
| ( skaf62(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf62(X3)))
| ~ ssList(tl(skaf62(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf62(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf62(X3)),tl(skaf62(X3))))) ),
inference(superposition,[status(thm)],[c_10783,c_431]) ).
tcf(c_85282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf62(X3)))
| lt(hd(skaf62(X3)),X1)
| ( skaf62(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf62(X3)))
| ~ ssList(tl(skaf62(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf62(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf62(X3)),tl(skaf62(X3))))) ),
inference(superposition,[status(thm)],[c_10783,c_430]) ).
tcf(c_85283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf62(X3)))
| ( skaf62(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf62(X3)))
| ~ ssList(tl(skaf62(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf62(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf62(X3)),tl(skaf62(X3))))) ),
inference(superposition,[status(thm)],[c_10783,c_429]) ).
tcf(c_85284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf62(X3)))
| ( skaf62(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf62(X3)))
| ~ ssList(tl(skaf62(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf62(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf62(X3)),tl(skaf62(X3))))) ),
inference(superposition,[status(thm)],[c_10783,c_428]) ).
tcf(c_85285,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf62(X1)))
| ~ ssList(tl(skaf62(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf62(X1)),X2)),skaf62(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf62(X1)),X2)),cons(hd(skaf62(X1)),tl(skaf62(X1))))) ),
inference(superposition,[status(thm)],[c_10783,c_426]) ).
tcf(c_85656,plain,
hd(cons(skac2,sk4)) = skac2,
inference(superposition,[status(thm)],[c_6486,c_10021]) ).
tcf(c_85657,plain,
hd(cons(skac2,sk7)) = skac2,
inference(superposition,[status(thm)],[c_6483,c_10021]) ).
tcf(c_85658,plain,
hd(cons(skac2,sk8)) = skac2,
inference(superposition,[status(thm)],[c_6482,c_10021]) ).
tcf(c_85659,plain,
hd(cons(skac2,nil)) = skac2,
inference(superposition,[status(thm)],[c_255,c_10021]) ).
tcf(c_85660,plain,
! [X0: $i] : hd(cons(skac2,skaf82(X0))) = skac2,
inference(superposition,[status(thm)],[c_260,c_10021]) ).
tcf(c_85661,plain,
! [X0: $i] : hd(cons(skac2,skaf81(X0))) = skac2,
inference(superposition,[status(thm)],[c_261,c_10021]) ).
tcf(c_85662,plain,
! [X0: $i] : hd(cons(skac2,skaf80(X0))) = skac2,
inference(superposition,[status(thm)],[c_262,c_10021]) ).
tcf(c_85663,plain,
! [X0: $i] : hd(cons(skac2,skaf77(X0))) = skac2,
inference(superposition,[status(thm)],[c_265,c_10021]) ).
tcf(c_85664,plain,
! [X0: $i] : hd(cons(skac2,skaf76(X0))) = skac2,
inference(superposition,[status(thm)],[c_266,c_10021]) ).
tcf(c_85665,plain,
! [X0: $i] : hd(cons(skac2,skaf75(X0))) = skac2,
inference(superposition,[status(thm)],[c_267,c_10021]) ).
tcf(c_85666,plain,
! [X0: $i] : hd(cons(skac2,skaf73(X0))) = skac2,
inference(superposition,[status(thm)],[c_269,c_10021]) ).
tcf(c_85667,plain,
! [X0: $i] : hd(cons(skac2,skaf72(X0))) = skac2,
inference(superposition,[status(thm)],[c_270,c_10021]) ).
tcf(c_85668,plain,
! [X0: $i] : hd(cons(skac2,skaf71(X0))) = skac2,
inference(superposition,[status(thm)],[c_271,c_10021]) ).
tcf(c_85669,plain,
! [X0: $i] : hd(cons(skac2,skaf68(X0))) = skac2,
inference(superposition,[status(thm)],[c_274,c_10021]) ).
tcf(c_85670,plain,
! [X0: $i] : hd(cons(skac2,skaf67(X0))) = skac2,
inference(superposition,[status(thm)],[c_275,c_10021]) ).
tcf(c_85671,plain,
! [X0: $i] : hd(cons(skac2,skaf66(X0))) = skac2,
inference(superposition,[status(thm)],[c_276,c_10021]) ).
tcf(c_85672,plain,
! [X0: $i] : hd(cons(skac2,skaf63(X0))) = skac2,
inference(superposition,[status(thm)],[c_279,c_10021]) ).
tcf(c_85673,plain,
! [X0: $i] : hd(cons(skac2,skaf62(X0))) = skac2,
inference(superposition,[status(thm)],[c_280,c_10021]) ).
tcf(c_85674,plain,
! [X0: $i] : hd(cons(skac2,skaf61(X0))) = skac2,
inference(superposition,[status(thm)],[c_281,c_10021]) ).
tcf(c_85675,plain,
! [X0: $i] : hd(cons(skac2,skaf58(X0))) = skac2,
inference(superposition,[status(thm)],[c_284,c_10021]) ).
tcf(c_85676,plain,
! [X0: $i] : hd(cons(skac2,skaf57(X0))) = skac2,
inference(superposition,[status(thm)],[c_285,c_10021]) ).
tcf(c_85677,plain,
! [X0: $i] : hd(cons(skac2,skaf56(X0))) = skac2,
inference(superposition,[status(thm)],[c_286,c_10021]) ).
tcf(c_85678,plain,
! [X0: $i] : hd(cons(skac2,skaf53(X0))) = skac2,
inference(superposition,[status(thm)],[c_289,c_10021]) ).
tcf(c_85679,plain,
! [X0: $i] : hd(cons(skac2,skaf52(X0))) = skac2,
inference(superposition,[status(thm)],[c_290,c_10021]) ).
tcf(c_85680,plain,
! [X0: $i] : hd(cons(skac2,skaf51(X0))) = skac2,
inference(superposition,[status(thm)],[c_291,c_10021]) ).
tcf(c_85681,plain,
! [X0: $i,X1: $i] : hd(cons(skac2,skaf48(X0,X1))) = skac2,
inference(superposition,[status(thm)],[c_295,c_10021]) ).
tcf(c_85682,plain,
! [X0: $i,X1: $i] : hd(cons(skac2,skaf47(X0,X1))) = skac2,
inference(superposition,[status(thm)],[c_296,c_10021]) ).
tcf(c_85683,plain,
! [X0: $i,X1: $i] : hd(cons(skac2,skaf46(X0,X1))) = skac2,
inference(superposition,[status(thm)],[c_297,c_10021]) ).
tcf(c_85684,plain,
! [X0: $i,X1: $i] : hd(cons(skac2,skaf45(X0,X1))) = skac2,
inference(superposition,[status(thm)],[c_298,c_10021]) ).
tcf(c_85685,plain,
! [X0: $i,X1: $i] : hd(cons(skac2,skaf43(X0,X1))) = skac2,
inference(superposition,[status(thm)],[c_299,c_10021]) ).
tcf(c_85686,plain,
! [X0: $i,X1: $i] : hd(cons(skac2,skaf42(X0,X1))) = skac2,
inference(superposition,[status(thm)],[c_300,c_10021]) ).
tcf(c_85687,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(skac2,tl(X0))) = skac2 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_10021]) ).
tcf(c_85688,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skac2,app(X1,X0))) = skac2 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_10021]) ).
tcf(c_85689,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(skac2,cons(X1,X0))) = skac2 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_10021]) ).
tcf(c_85690,plain,
hd(cons(skac2,iPr_def_16)) = skac2,
inference(superposition,[status(thm)],[c_9020,c_10021]) ).
tcf(c_85691,plain,
hd(cons(skac2,iPr_def_13)) = skac2,
inference(superposition,[status(thm)],[c_9527,c_10021]) ).
tcf(c_85692,plain,
hd(cons(skac2,iPr_def_12)) = skac2,
inference(superposition,[status(thm)],[c_9489,c_10021]) ).
tcf(c_85693,plain,
hd(cons(skac2,iPr_def_15)) = skac2,
inference(superposition,[status(thm)],[c_24748,c_10021]) ).
tcf(c_85694,plain,
hd(cons(skac2,iPr_def_14)) = skac2,
inference(superposition,[status(thm)],[c_9488,c_10021]) ).
tcf(c_85695,plain,
hd(cons(skac2,cons(sk5,sk4))) = skac2,
inference(superposition,[status(thm)],[c_66402,c_10021]) ).
tcf(c_85696,plain,
hd(cons(skac2,cons(sk6,sk4))) = skac2,
inference(superposition,[status(thm)],[c_28942,c_10021]) ).
tcf(c_85697,plain,
hd(cons(skac2,cons(sk6,sk7))) = skac2,
inference(superposition,[status(thm)],[c_28940,c_10021]) ).
tcf(c_85698,plain,
hd(cons(skac2,cons(sk6,sk8))) = skac2,
inference(superposition,[status(thm)],[c_28938,c_10021]) ).
tcf(c_85699,plain,
hd(cons(skac2,app(sk4,sk4))) = skac2,
inference(superposition,[status(thm)],[c_79152,c_10021]) ).
tcf(c_85700,plain,
hd(cons(skac2,app(sk4,app(sk4,sk4)))) = skac2,
inference(superposition,[status(thm)],[c_79226,c_10021]) ).
tcf(c_85701,plain,
hd(cons(skac2,app(sk4,app(sk4,sk7)))) = skac2,
inference(superposition,[status(thm)],[c_79223,c_10021]) ).
tcf(c_85702,plain,
hd(cons(skac2,app(sk4,app(sk4,sk8)))) = skac2,
inference(superposition,[status(thm)],[c_79220,c_10021]) ).
tcf(c_85703,plain,
( ( hd(cons(skac2,app(sk7,app(sk4,sk4)))) = skac2 )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41201,c_10021]) ).
tcf(c_85704,plain,
( ( hd(cons(skac2,app(sk7,app(sk4,sk7)))) = skac2 )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_41649,c_10021]) ).
tcf(c_85705,plain,
( ( hd(cons(skac2,app(sk7,app(sk4,sk8)))) = skac2 )
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_42025,c_10021]) ).
tcf(c_85706,plain,
( ( hd(cons(skac2,app(sk8,app(sk4,sk4)))) = skac2 )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_10021]) ).
tcf(c_85707,plain,
( ( hd(cons(skac2,app(sk8,app(sk4,sk7)))) = skac2 )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_10021]) ).
tcf(c_85708,plain,
( ( hd(cons(skac2,app(sk8,app(sk4,sk8)))) = skac2 )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_10021]) ).
tcf(c_85709,plain,
( ( hd(cons(skac2,app(sk4,app(sk7,sk4)))) = skac2 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_10021]) ).
tcf(c_85710,plain,
( ( hd(cons(skac2,app(sk4,app(sk7,sk7)))) = skac2 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_10021]) ).
tcf(c_85711,plain,
( ( hd(cons(skac2,app(sk4,app(sk7,sk8)))) = skac2 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_10021]) ).
tcf(c_85712,plain,
( ( hd(cons(skac2,app(sk7,app(sk7,sk4)))) = skac2 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_10021]) ).
tcf(c_85713,plain,
( ( hd(cons(skac2,app(sk7,app(sk7,sk7)))) = skac2 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_10021]) ).
tcf(c_85714,plain,
( ( hd(cons(skac2,app(sk7,app(sk7,sk8)))) = skac2 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_10021]) ).
tcf(c_85715,plain,
( ( hd(cons(skac2,app(sk8,app(sk7,sk4)))) = skac2 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_10021]) ).
tcf(c_85716,plain,
( ( hd(cons(skac2,app(sk8,app(sk7,sk7)))) = skac2 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_10021]) ).
tcf(c_85717,plain,
( ( hd(cons(skac2,app(sk8,app(sk7,sk8)))) = skac2 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_10021]) ).
tcf(c_85718,plain,
( ( hd(cons(skac2,app(sk4,app(sk8,sk4)))) = skac2 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_10021]) ).
tcf(c_85719,plain,
( ( hd(cons(skac2,app(sk4,app(sk8,sk7)))) = skac2 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_10021]) ).
tcf(c_85720,plain,
( ( hd(cons(skac2,app(sk4,app(sk8,sk8)))) = skac2 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_10021]) ).
tcf(c_85721,plain,
( ( hd(cons(skac2,app(sk7,app(sk8,sk4)))) = skac2 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_10021]) ).
tcf(c_85722,plain,
( ( hd(cons(skac2,app(sk7,app(sk8,sk7)))) = skac2 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_10021]) ).
tcf(c_85723,plain,
( ( hd(cons(skac2,app(sk7,app(sk8,sk8)))) = skac2 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_10021]) ).
tcf(c_85724,plain,
( ( hd(cons(skac2,app(sk8,app(sk8,sk4)))) = skac2 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_10021]) ).
tcf(c_85725,plain,
( ( hd(cons(skac2,app(sk8,app(sk8,sk7)))) = skac2 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_10021]) ).
tcf(c_85726,plain,
( ( hd(cons(skac2,app(sk8,app(sk8,sk8)))) = skac2 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_10021]) ).
tcf(c_85727,plain,
hd(cons(skac2,cons(sk5,app(sk4,sk4)))) = skac2,
inference(superposition,[status(thm)],[c_66447,c_10021]) ).
tcf(c_85728,plain,
( ( hd(cons(skac2,cons(sk5,app(sk7,sk4)))) = skac2 )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_10021]) ).
tcf(c_85729,plain,
( ( hd(cons(skac2,cons(sk5,app(sk8,sk4)))) = skac2 )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_10021]) ).
tcf(c_85730,plain,
hd(cons(skac2,cons(sk6,app(sk4,sk4)))) = skac2,
inference(superposition,[status(thm)],[c_68222,c_10021]) ).
tcf(c_85731,plain,
hd(cons(skac2,cons(sk6,app(sk7,sk4)))) = skac2,
inference(superposition,[status(thm)],[c_68529,c_10021]) ).
tcf(c_85732,plain,
hd(cons(skac2,cons(sk6,app(sk8,sk4)))) = skac2,
inference(superposition,[status(thm)],[c_68959,c_10021]) ).
tcf(c_86285,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac2,sk4)))
| ( cons(skac2,sk4) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac2)
| ~ strictorderedP(cons(skac2,sk4))
| ~ ssList(cons(skac2,sk4)) ),
inference(superposition,[status(thm)],[c_85656,c_407]) ).
tcf(c_86286,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac2,sk4)))
| ( cons(skac2,sk4) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac2)
| ~ totalorderedP(cons(skac2,sk4))
| ~ ssList(cons(skac2,sk4)) ),
inference(superposition,[status(thm)],[c_85656,c_406]) ).
tcf(c_86302,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac2,sk7)))
| ( cons(skac2,sk7) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac2)
| ~ strictorderedP(cons(skac2,sk7))
| ~ ssList(cons(skac2,sk7)) ),
inference(superposition,[status(thm)],[c_85657,c_407]) ).
tcf(c_86303,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac2,sk7)))
| ( cons(skac2,sk7) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac2)
| ~ totalorderedP(cons(skac2,sk7))
| ~ ssList(cons(skac2,sk7)) ),
inference(superposition,[status(thm)],[c_85657,c_406]) ).
tcf(c_86346,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac2,sk8)))
| ( cons(skac2,sk8) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac2)
| ~ strictorderedP(cons(skac2,sk8))
| ~ ssList(cons(skac2,sk8)) ),
inference(superposition,[status(thm)],[c_85658,c_407]) ).
tcf(c_86347,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac2,sk8)))
| ( cons(skac2,sk8) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac2)
| ~ totalorderedP(cons(skac2,sk8))
| ~ ssList(cons(skac2,sk8)) ),
inference(superposition,[status(thm)],[c_85658,c_406]) ).
tcf(c_86363,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac2,nil)))
| ( cons(skac2,nil) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac2)
| ~ strictorderedP(cons(skac2,nil))
| ~ ssList(cons(skac2,nil)) ),
inference(superposition,[status(thm)],[c_85659,c_407]) ).
tcf(c_86364,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac2,nil)))
| ( cons(skac2,nil) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac2)
| ~ totalorderedP(cons(skac2,nil))
| ~ ssList(cons(skac2,nil)) ),
inference(superposition,[status(thm)],[c_85659,c_406]) ).
tcf(c_87737,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac2,iPr_def_16)))
| ( cons(skac2,iPr_def_16) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac2)
| ~ strictorderedP(cons(skac2,iPr_def_16))
| ~ ssList(cons(skac2,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_85690,c_407]) ).
tcf(c_87738,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac2,iPr_def_16)))
| ( cons(skac2,iPr_def_16) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac2)
| ~ totalorderedP(cons(skac2,iPr_def_16))
| ~ ssList(cons(skac2,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_85690,c_406]) ).
tcf(c_87853,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac2,iPr_def_13)))
| ( cons(skac2,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac2)
| ~ strictorderedP(cons(skac2,iPr_def_13))
| ~ ssList(cons(skac2,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_85691,c_407]) ).
tcf(c_87854,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac2,iPr_def_13)))
| ( cons(skac2,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac2)
| ~ totalorderedP(cons(skac2,iPr_def_13))
| ~ ssList(cons(skac2,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_85691,c_406]) ).
tcf(c_87931,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_384,c_84050]) ).
tcf(c_87932,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(cons(sk6,sk8),X0)) ),
inference(superposition,[status(thm)],[c_808,c_84050]) ).
tcf(c_87933,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssItem(sk6)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(X0,sk8)
| ~ ssList(cons(sk6,X0)) ),
inference(superposition,[status(thm)],[c_425,c_84050]) ).
tcf(c_87934,plain,
( frontsegP(iPr_def_14,sk7)
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(nil,sk8) ),
inference(superposition,[status(thm)],[c_15753,c_84050]) ).
tcf(c_87938,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_79173,c_84050]) ).
tcf(c_87939,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_66408,c_84050]) ).
tcf(c_87942,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68969,c_84050]) ).
tcf(c_87944,plain,
( frontsegP(iPr_def_14,sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(nil,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87934,c_9488,c_6482]) ).
tcf(c_87948,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87942,c_68959]) ).
tcf(c_87951,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(iPr_def_12,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87939,c_28938,c_66402]) ).
tcf(c_87955,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87938,c_79152,c_28938]) ).
tcf(c_87959,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(app(cons(sk6,sk8),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87932,c_28938]) ).
tcf(c_87964,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(X0,sk8)
| ~ ssList(cons(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87933,c_6484,c_6482]) ).
tcf(c_87970,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87931,c_28938]) ).
tcf(c_88361,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_384,c_84849]) ).
tcf(c_88362,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(cons(sk6,sk8),X0)) ),
inference(superposition,[status(thm)],[c_808,c_84849]) ).
tcf(c_88363,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssItem(sk6)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(X0,sk8)
| ~ ssList(cons(sk6,X0)) ),
inference(superposition,[status(thm)],[c_425,c_84849]) ).
tcf(c_88364,plain,
( frontsegP(iPr_def_14,sk7)
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(nil,sk8) ),
inference(superposition,[status(thm)],[c_15753,c_84849]) ).
tcf(c_88368,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_79173,c_84849]) ).
tcf(c_88369,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_66408,c_84849]) ).
tcf(c_88372,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68969,c_84849]) ).
tcf(c_88374,plain,
( frontsegP(iPr_def_14,sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(nil,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88364,c_9488,c_6482]) ).
tcf(c_88378,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88372,c_68959]) ).
tcf(c_88381,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(iPr_def_12,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88369,c_28938,c_66402]) ).
tcf(c_88385,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88368,c_79152,c_28938]) ).
tcf(c_88389,plain,
! [X0: $i] :
( frontsegP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(app(cons(sk6,sk8),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88362,c_28938]) ).
tcf(c_88394,plain,
! [X0: $i] :
( frontsegP(cons(sk6,X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(X0,sk8)
| ~ ssList(cons(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88363,c_6484,c_6482]) ).
tcf(c_88400,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88361,c_28938]) ).
tcf(c_88638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf61(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf61(X1)))
| ~ ssList(tl(skaf61(X1)))
| ~ leq(X2,hd(skaf61(X1)))
| ~ leq(hd(skaf61(X1)),X2)
| ~ ssList(app(app(X0,skaf61(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf61(X1)),tl(skaf61(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10784,c_432]) ).
tcf(c_88639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf61(X1)))
| leq(hd(skaf61(X1)),X2)
| ( skaf61(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf61(X1)))
| ~ ssList(tl(skaf61(X1)))
| ~ ssList(app(app(X0,skaf61(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf61(X1)),tl(skaf61(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10784,c_431]) ).
tcf(c_88640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf61(X1)))
| lt(hd(skaf61(X1)),X2)
| ( skaf61(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf61(X1)))
| ~ ssList(tl(skaf61(X1)))
| ~ ssList(app(app(X0,skaf61(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf61(X1)),tl(skaf61(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10784,c_430]) ).
tcf(c_88641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf61(X1)),X2)
| ( skaf61(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf61(X1)))
| ~ ssList(tl(skaf61(X1)))
| ~ ssList(app(app(X0,skaf61(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf61(X1)),tl(skaf61(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10784,c_429]) ).
tcf(c_88642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf61(X1)),X2)
| ( skaf61(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf61(X1)))
| ~ ssList(tl(skaf61(X1)))
| ~ ssList(app(app(X0,skaf61(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf61(X1)),tl(skaf61(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10784,c_428]) ).
tcf(c_88643,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf61(X1)))
| ~ ssList(tl(skaf61(X1)))
| ~ ssList(app(app(X0,skaf61(X1)),cons(hd(skaf61(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf61(X1)),tl(skaf61(X1)))),cons(hd(skaf61(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10784,c_426]) ).
tcf(c_88644,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf61(X1)),hd(skaf61(X1)))
| ( skaf61(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf61(X1)))
| ~ ssList(tl(skaf61(X1)))
| ~ ssList(app(X0,cons(hd(skaf61(X1)),tl(skaf61(X1))))) ),
inference(superposition,[status(thm)],[c_10784,c_422]) ).
tcf(c_88645,plain,
! [X0: $i] :
( memberP(skaf61(X0),hd(skaf61(X0)))
| ( skaf61(X0) = nil )
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_10784,c_385]) ).
tcf(c_88647,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( tl(skaf61(X0)) = nil )
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0)))
| ( skaf61(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10784,c_21847]) ).
tcf(c_88648,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( tl(skaf61(X0)) = nil )
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0)))
| ( skaf61(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10784,c_21842]) ).
tcf(c_88649,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( hd(skaf61(X0)) = sk5 )
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0)))
| ( skaf61(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10784,c_21750]) ).
tcf(c_88650,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( hd(skaf61(X0)) = sk6 )
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0)))
| ( skaf61(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10784,c_21745]) ).
tcf(c_88651,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( hd(skaf61(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf61(X0))
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_10784,c_21595]) ).
tcf(c_88652,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( hd(skaf61(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf61(X0))
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_10784,c_21590]) ).
tcf(c_88653,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( hd(skaf61(X0)) = sk5 )
| ~ frontsegP(skaf61(X0),iPr_def_12)
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_10784,c_21585]) ).
tcf(c_88654,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( hd(skaf61(X0)) = sk6 )
| ~ frontsegP(skaf61(X0),iPr_def_14)
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_10784,c_21580]) ).
tcf(c_88655,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf61(X0)))
| ( skaf61(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf61(X0))
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_10784,c_21202]) ).
tcf(c_88656,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf61(X0)))
| ( skaf61(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf61(X0))
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_10784,c_21197]) ).
tcf(c_88659,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X0) = nil )
| ( hd(skaf61(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0)))
| ~ frontsegP(skaf61(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10784,c_423]) ).
tcf(c_88660,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf61(X0)),X2)
| ( skaf61(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0)))
| ~ frontsegP(skaf61(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10784,c_421]) ).
tcf(c_88661,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf61(X0)),X1)
| ( skaf61(X0) = nil )
| ( hd(skaf61(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0)))
| ~ memberP(skaf61(X0),X1) ),
inference(superposition,[status(thm)],[c_10784,c_408]) ).
tcf(c_88662,plain,
! [X0: $i] :
( leq(hd(skaf61(X0)),hd(tl(skaf61(X0))))
| ( skaf61(X0) = nil )
| ( tl(skaf61(X0)) = nil )
| ~ totalorderedP(skaf61(X0))
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_10784,c_382]) ).
tcf(c_88663,plain,
! [X0: $i] :
( lt(hd(skaf61(X0)),hd(tl(skaf61(X0))))
| ( skaf61(X0) = nil )
| ( tl(skaf61(X0)) = nil )
| ~ strictorderedP(skaf61(X0))
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_10784,c_381]) ).
tcf(c_88664,plain,
! [X0: $i] :
( totalorderedP(tl(skaf61(X0)))
| ( skaf61(X0) = nil )
| ( tl(skaf61(X0)) = nil )
| ~ totalorderedP(skaf61(X0))
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_10784,c_372]) ).
tcf(c_88665,plain,
! [X0: $i] :
( strictorderedP(tl(skaf61(X0)))
| ( skaf61(X0) = nil )
| ( tl(skaf61(X0)) = nil )
| ~ strictorderedP(skaf61(X0))
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_10784,c_371]) ).
tcf(c_88666,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0)))
| ( tl(skaf61(X0)) != skaf61(X0) ) ),
inference(superposition,[status(thm)],[c_10784,c_346]) ).
tcf(c_88668,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf61(X1)),X0),skaf61(X1))
| ( skaf61(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf61(X1)))
| ~ ssList(tl(skaf61(X1)))
| ~ frontsegP(X0,tl(skaf61(X1))) ),
inference(superposition,[status(thm)],[c_10784,c_425]) ).
tcf(c_88669,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X2) = nil )
| ( hd(skaf61(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf61(X2)))
| ~ ssList(tl(skaf61(X2)))
| ~ ssList(app(X0,cons(X1,skaf61(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf61(X2)),tl(skaf61(X2)))))) ),
inference(superposition,[status(thm)],[c_10784,c_427]) ).
tcf(c_88670,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X2) = nil )
| ( tl(skaf61(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf61(X2)))
| ~ ssList(tl(skaf61(X2)))
| ( cons(X0,X1) != skaf61(X2) ) ),
inference(superposition,[status(thm)],[c_10784,c_418]) ).
tcf(c_88671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X2) = nil )
| ( hd(skaf61(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf61(X2)))
| ~ ssList(tl(skaf61(X2)))
| ( cons(X0,X1) != skaf61(X2) ) ),
inference(superposition,[status(thm)],[c_10784,c_417]) ).
tcf(c_88672,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X2) = nil )
| ( hd(skaf61(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf61(X2)))
| ~ ssList(tl(skaf61(X2)))
| ~ frontsegP(cons(X0,X1),skaf61(X2)) ),
inference(superposition,[status(thm)],[c_10784,c_423]) ).
tcf(c_88673,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf61(X2)))
| ( skaf61(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf61(X2)))
| ~ ssList(tl(skaf61(X2)))
| ~ frontsegP(cons(X0,X1),skaf61(X2)) ),
inference(superposition,[status(thm)],[c_10784,c_421]) ).
tcf(c_88674,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf61(X0),cons(hd(skaf61(X0)),X1))
| ( skaf61(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0)))
| ~ frontsegP(tl(skaf61(X0)),X1) ),
inference(superposition,[status(thm)],[c_10784,c_425]) ).
tcf(c_88675,plain,
! [X0: $i,X1: $i] :
( memberP(skaf61(X0),X1)
| ( skaf61(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf61(X0)))
| ~ ssList(tl(skaf61(X0)))
| ~ memberP(tl(skaf61(X0)),X1) ),
inference(superposition,[status(thm)],[c_10784,c_386]) ).
tcf(c_88676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf61(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf61(X3)))
| ~ ssList(tl(skaf61(X3)))
| ~ leq(X1,hd(skaf61(X3)))
| ~ leq(hd(skaf61(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf61(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf61(X3)),tl(skaf61(X3))))) ),
inference(superposition,[status(thm)],[c_10784,c_432]) ).
tcf(c_88677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf61(X3)))
| leq(hd(skaf61(X3)),X1)
| ( skaf61(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf61(X3)))
| ~ ssList(tl(skaf61(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf61(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf61(X3)),tl(skaf61(X3))))) ),
inference(superposition,[status(thm)],[c_10784,c_431]) ).
tcf(c_88678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf61(X3)))
| lt(hd(skaf61(X3)),X1)
| ( skaf61(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf61(X3)))
| ~ ssList(tl(skaf61(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf61(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf61(X3)),tl(skaf61(X3))))) ),
inference(superposition,[status(thm)],[c_10784,c_430]) ).
tcf(c_88679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf61(X3)))
| ( skaf61(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf61(X3)))
| ~ ssList(tl(skaf61(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf61(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf61(X3)),tl(skaf61(X3))))) ),
inference(superposition,[status(thm)],[c_10784,c_429]) ).
tcf(c_88680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf61(X3)))
| ( skaf61(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf61(X3)))
| ~ ssList(tl(skaf61(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf61(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf61(X3)),tl(skaf61(X3))))) ),
inference(superposition,[status(thm)],[c_10784,c_428]) ).
tcf(c_88681,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf61(X1)))
| ~ ssList(tl(skaf61(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf61(X1)),X2)),skaf61(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf61(X1)),X2)),cons(hd(skaf61(X1)),tl(skaf61(X1))))) ),
inference(superposition,[status(thm)],[c_10784,c_426]) ).
tcf(c_89172,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf82(X0))))
| ( cons(skac2,skaf82(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf82(X0)))
| ~ ssList(cons(skac2,skaf82(X0))) ),
inference(superposition,[status(thm)],[c_85660,c_407]) ).
tcf(c_89173,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf82(X0))))
| ( cons(skac2,skaf82(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf82(X0)))
| ~ ssList(cons(skac2,skaf82(X0))) ),
inference(superposition,[status(thm)],[c_85660,c_406]) ).
tcf(c_89189,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf81(X0))))
| ( cons(skac2,skaf81(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf81(X0)))
| ~ ssList(cons(skac2,skaf81(X0))) ),
inference(superposition,[status(thm)],[c_85661,c_407]) ).
tcf(c_89190,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf81(X0))))
| ( cons(skac2,skaf81(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf81(X0)))
| ~ ssList(cons(skac2,skaf81(X0))) ),
inference(superposition,[status(thm)],[c_85661,c_406]) ).
tcf(c_89206,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf80(X0))))
| ( cons(skac2,skaf80(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf80(X0)))
| ~ ssList(cons(skac2,skaf80(X0))) ),
inference(superposition,[status(thm)],[c_85662,c_407]) ).
tcf(c_89207,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf80(X0))))
| ( cons(skac2,skaf80(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf80(X0)))
| ~ ssList(cons(skac2,skaf80(X0))) ),
inference(superposition,[status(thm)],[c_85662,c_406]) ).
tcf(c_89223,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf77(X0))))
| ( cons(skac2,skaf77(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf77(X0)))
| ~ ssList(cons(skac2,skaf77(X0))) ),
inference(superposition,[status(thm)],[c_85663,c_407]) ).
tcf(c_89224,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf77(X0))))
| ( cons(skac2,skaf77(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf77(X0)))
| ~ ssList(cons(skac2,skaf77(X0))) ),
inference(superposition,[status(thm)],[c_85663,c_406]) ).
tcf(c_89240,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac2,iPr_def_12)))
| ( cons(skac2,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac2)
| ~ strictorderedP(cons(skac2,iPr_def_12))
| ~ ssList(cons(skac2,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_85692,c_407]) ).
tcf(c_89241,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac2,iPr_def_12)))
| ( cons(skac2,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac2)
| ~ totalorderedP(cons(skac2,iPr_def_12))
| ~ ssList(cons(skac2,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_85692,c_406]) ).
tcf(c_89257,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac2,iPr_def_15)))
| ( cons(skac2,iPr_def_15) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac2)
| ~ strictorderedP(cons(skac2,iPr_def_15))
| ~ ssList(cons(skac2,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_85693,c_407]) ).
tcf(c_89258,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac2,iPr_def_15)))
| ( cons(skac2,iPr_def_15) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac2)
| ~ totalorderedP(cons(skac2,iPr_def_15))
| ~ ssList(cons(skac2,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_85693,c_406]) ).
tcf(c_89274,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac2,iPr_def_14)))
| ( cons(skac2,iPr_def_14) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac2)
| ~ strictorderedP(cons(skac2,iPr_def_14))
| ~ ssList(cons(skac2,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_85694,c_407]) ).
tcf(c_89275,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac2,iPr_def_14)))
| ( cons(skac2,iPr_def_14) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac2)
| ~ totalorderedP(cons(skac2,iPr_def_14))
| ~ ssList(cons(skac2,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_85694,c_406]) ).
tcf(c_89291,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf76(X0))))
| ( cons(skac2,skaf76(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf76(X0)))
| ~ ssList(cons(skac2,skaf76(X0))) ),
inference(superposition,[status(thm)],[c_85664,c_407]) ).
tcf(c_89292,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf76(X0))))
| ( cons(skac2,skaf76(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf76(X0)))
| ~ ssList(cons(skac2,skaf76(X0))) ),
inference(superposition,[status(thm)],[c_85664,c_406]) ).
tcf(c_89322,plain,
! [X0: $i] :
( frontsegP(X0,sk4)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_67363,c_67363,c_79152]) ).
tcf(c_89332,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_384,c_89322]) ).
tcf(c_89333,plain,
! [X0: $i] :
( frontsegP(app(app(sk4,sk4),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(app(sk4,sk4),X0)) ),
inference(superposition,[status(thm)],[c_808,c_89322]) ).
tcf(c_89334,plain,
( frontsegP(cons(sk6,sk4),sk4)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_89322]) ).
tcf(c_89335,plain,
( frontsegP(cons(sk6,sk7),sk4)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_51316,c_89322]) ).
tcf(c_89336,plain,
( frontsegP(cons(sk6,sk8),sk4)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_51801,c_89322]) ).
tcf(c_89337,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk4)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_79224,c_89322]) ).
tcf(c_89339,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_79221,c_89322]) ).
tcf(c_89340,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk4)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_79218,c_89322]) ).
tcf(c_89341,plain,
( frontsegP(cons(sk5,sk4),sk4)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_89322]) ).
tcf(c_89342,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk4)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_68249,c_89322]) ).
tcf(c_89343,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk4)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_68556,c_89322]) ).
tcf(c_89344,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk4)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_68986,c_89322]) ).
tcf(c_89345,plain,
frontsegP(app(sk4,app(sk4,sk8)),sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_89340,c_79220]) ).
tcf(c_89346,plain,
frontsegP(app(sk4,app(sk4,sk7)),sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_89339,c_79223]) ).
tcf(c_89347,plain,
frontsegP(app(sk4,app(sk4,sk4)),sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_89337,c_79226]) ).
tcf(c_89348,plain,
( frontsegP(cons(sk5,sk4),sk4)
| ~ frontsegP(iPr_def_12,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89341,c_79152,c_66402]) ).
tcf(c_89351,plain,
( frontsegP(cons(sk6,sk8),sk4)
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89336,c_79152,c_28938]) ).
tcf(c_89354,plain,
( frontsegP(cons(sk6,sk7),sk4)
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89335,c_79152,c_28940]) ).
tcf(c_89357,plain,
( frontsegP(cons(sk6,sk4),sk4)
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89334,c_79152,c_28942]) ).
tcf(c_89360,plain,
! [X0: $i] :
( frontsegP(app(app(sk4,sk4),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(app(sk4,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89333,c_79152]) ).
tcf(c_89364,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk4)
| ~ frontsegP(cons(sk6,sk8),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89344,c_79152,c_68959]) ).
tcf(c_89367,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk4)
| ~ frontsegP(cons(sk6,sk7),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89343,c_79152,c_68529]) ).
tcf(c_89370,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk4)
| ~ frontsegP(cons(sk6,sk4),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89342,c_79152,c_68222]) ).
tcf(c_89373,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89332,c_79152]) ).
tcf(c_89433,plain,
( ( app(sk7,skaf45(app(sk7,sk4),sk7)) = app(sk7,sk4) )
| ~ ssList(sk7)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_332,c_68890]) ).
tcf(c_89434,plain,
app(sk7,skaf45(app(sk7,sk4),sk7)) = app(sk7,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_89433,c_6483,c_6486]) ).
tcf(c_89436,plain,
( ssList(app(sk7,sk4))
| ~ ssList(sk7)
| ~ ssList(skaf45(app(sk7,sk4),sk7)) ),
inference(superposition,[status(thm)],[c_89434,c_332]) ).
tcf(c_89437,plain,
! [X0: $i] :
( segmentP(app(app(sk7,sk4),X0),skaf45(app(sk7,sk4),sk7))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,sk4),sk7))
| ~ ssList(app(app(sk7,skaf45(app(sk7,sk4),sk7)),X0)) ),
inference(superposition,[status(thm)],[c_89434,c_420]) ).
tcf(c_89438,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,sk4),sk7))
| ( app(X0,skaf45(app(sk7,sk4),sk7)) != app(sk7,sk4) ) ),
inference(superposition,[status(thm)],[c_89434,c_398]) ).
tcf(c_89440,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf45(app(sk7,sk4),sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(app(sk7,sk4),X0)
| ~ ssList(skaf45(app(sk7,sk4),sk7)) ),
inference(superposition,[status(thm)],[c_89434,c_405]) ).
tcf(c_89441,plain,
( ( skaf45(app(sk7,sk4),sk7) = nil )
| ~ ssList(sk7)
| ~ ssList(skaf45(app(sk7,sk4),sk7))
| ( app(sk7,sk4) != nil ) ),
inference(superposition,[status(thm)],[c_89434,c_366]) ).
tcf(c_89442,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(skaf45(app(sk7,sk4),sk7))
| ( app(sk7,sk4) != nil ) ),
inference(superposition,[status(thm)],[c_89434,c_365]) ).
tcf(c_89443,plain,
( frontsegP(app(sk7,sk4),sk7)
| ~ ssList(sk7)
| ~ ssList(skaf45(app(sk7,sk4),sk7)) ),
inference(superposition,[status(thm)],[c_89434,c_808]) ).
tcf(c_89444,plain,
( rearsegP(app(sk7,sk4),skaf45(app(sk7,sk4),sk7))
| ~ ssList(sk7)
| ~ ssList(skaf45(app(sk7,sk4),sk7)) ),
inference(superposition,[status(thm)],[c_89434,c_807]) ).
tcf(c_89445,plain,
! [X0: $i] :
( memberP(app(sk7,sk4),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf45(app(sk7,sk4),sk7))
| ~ memberP(skaf45(app(sk7,sk4),sk7),X0) ),
inference(superposition,[status(thm)],[c_89434,c_388]) ).
tcf(c_89446,plain,
! [X0: $i] :
( rearsegP(app(sk7,sk4),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,sk4),sk7))
| ~ rearsegP(skaf45(app(sk7,sk4),sk7),X0) ),
inference(superposition,[status(thm)],[c_89434,c_383]) ).
tcf(c_89447,plain,
! [X0: $i] :
( ( skaf45(app(sk7,sk4),sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,sk4),sk7))
| ( app(sk7,X0) != app(sk7,sk4) ) ),
inference(superposition,[status(thm)],[c_89434,c_397]) ).
tcf(c_89448,plain,
! [X0: $i] :
( memberP(app(sk7,sk4),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf45(app(sk7,sk4),sk7)) ),
inference(superposition,[status(thm)],[c_89434,c_387]) ).
tcf(c_89449,plain,
! [X0: $i] :
( frontsegP(app(sk7,sk4),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ ssList(skaf45(app(sk7,sk4),sk7)) ),
inference(superposition,[status(thm)],[c_89434,c_384]) ).
tcf(c_89450,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,sk4),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,sk4),sk7))
| ~ segmentP(skaf45(app(sk7,sk4),sk7),X0) ),
inference(superposition,[status(thm)],[c_89434,c_419]) ).
tcf(c_89451,plain,
( ( skaf45(app(sk7,sk4),sk7) = skaf45(iPr_def_16,sk7) )
| ~ ssList(skaf45(app(sk7,sk4),sk7))
| ( app(sk7,sk4) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_89434,c_26416]) ).
tcf(c_89452,plain,
( ( skaf45(app(sk7,sk4),sk7) = skaf45(iPr_def_15,sk7) )
| ~ ssList(skaf45(app(sk7,sk4),sk7))
| ( app(sk7,sk4) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89434,c_24771]) ).
tcf(c_89453,plain,
( ( skaf45(app(sk7,sk4),sk7) = iPr_def_12 )
| ~ ssList(skaf45(app(sk7,sk4),sk7))
| ( app(sk7,sk4) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_89434,c_17091]) ).
tcf(c_89454,plain,
( ( skaf45(app(sk7,sk4),sk7) = nil )
| ~ ssList(skaf45(app(sk7,sk4),sk7))
| ( app(sk7,sk4) != sk7 ) ),
inference(superposition,[status(thm)],[c_89434,c_17074]) ).
tcf(c_89455,plain,
( segmentP(app(sk7,sk4),sk7)
| ~ ssList(skaf45(app(sk7,sk4),sk7))
| ~ ssList(app(sk7,skaf45(app(sk7,sk4),sk7))) ),
inference(superposition,[status(thm)],[c_89434,c_20769]) ).
tcf(c_89456,plain,
! [X0: $i] :
( segmentP(app(sk7,sk4),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(skaf45(app(sk7,sk4),sk7)) ),
inference(superposition,[status(thm)],[c_89434,c_20310]) ).
tcf(c_89457,plain,
! [X0: $i] :
( segmentP(app(sk7,sk4),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(skaf45(app(sk7,sk4),sk7)) ),
inference(superposition,[status(thm)],[c_89434,c_20290]) ).
tcf(c_89458,plain,
ssList(app(sk7,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_89436,c_6483,c_298]) ).
tcf(c_89459,plain,
frontsegP(app(sk7,sk4),sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_89443,c_6483,c_298]) ).
tcf(c_89460,plain,
! [X0: $i] :
( segmentP(app(sk7,sk4),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89457,c_298]) ).
tcf(c_89464,plain,
! [X0: $i] :
( segmentP(app(sk7,sk4),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89456,c_298]) ).
tcf(c_89468,plain,
rearsegP(app(sk7,sk4),skaf45(app(sk7,sk4),sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_89444,c_6483,c_298]) ).
tcf(c_89469,plain,
( segmentP(app(sk7,sk4),sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(skaf45(app(sk7,sk4),sk7)) ),
inference(light_normalisation,[status(thm)],[c_89455,c_89434]) ).
tcf(c_89470,plain,
( segmentP(app(sk7,sk4),sk7)
| ~ ssList(app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89469,c_298]) ).
tcf(c_89473,plain,
( ( sk7 = nil )
| ( app(sk7,sk4) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89442,c_6483,c_298]) ).
tcf(c_89476,plain,
( ( skaf45(app(sk7,sk4),sk7) = nil )
| ( app(sk7,sk4) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89454,c_298]) ).
tcf(c_89479,plain,
( ( skaf45(app(sk7,sk4),sk7) = iPr_def_12 )
| ( app(sk7,sk4) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89453,c_298]) ).
tcf(c_89482,plain,
! [X0: $i] :
( frontsegP(app(sk7,sk4),X0)
| ~ ssList(X0)
| ~ frontsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89449,c_6483,c_298]) ).
tcf(c_89486,plain,
! [X0: $i] :
( memberP(app(sk7,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89448,c_6483,c_298]) ).
tcf(c_89490,plain,
( ( skaf45(app(sk7,sk4),sk7) = skaf45(iPr_def_15,sk7) )
| ( app(sk7,sk4) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89452,c_298]) ).
tcf(c_89493,plain,
( ( skaf45(app(sk7,sk4),sk7) = skaf45(iPr_def_16,sk7) )
| ( app(sk7,sk4) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89451,c_298]) ).
tcf(c_89496,plain,
( ( skaf45(app(sk7,sk4),sk7) = nil )
| ( app(sk7,sk4) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89441,c_6483,c_298]) ).
tcf(c_89499,plain,
! [X0: $i] :
( rearsegP(app(sk7,sk4),X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(app(sk7,sk4),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89446,c_6483,c_298]) ).
tcf(c_89503,plain,
! [X0: $i] :
( memberP(app(sk7,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(app(sk7,sk4),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89445,c_6483,c_298]) ).
tcf(c_89507,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf45(app(sk7,sk4),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk7,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89440,c_6483,c_298]) ).
tcf(c_89512,plain,
! [X0: $i] :
( ( skaf45(app(sk7,sk4),sk7) = X0 )
| ~ ssList(X0)
| ( app(sk7,X0) != app(sk7,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89447,c_6483,c_298]) ).
tcf(c_89516,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(X0,skaf45(app(sk7,sk4),sk7)) != app(sk7,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89438,c_6483,c_298]) ).
tcf(c_89520,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,sk4),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(app(sk7,sk4),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89450,c_6483,c_298]) ).
tcf(c_89525,plain,
! [X0: $i] :
( segmentP(app(app(sk7,sk4),X0),skaf45(app(sk7,sk4),sk7))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,sk4),sk7))
| ~ ssList(app(app(sk7,sk4),X0)) ),
inference(light_normalisation,[status(thm)],[c_89437,c_89434]) ).
tcf(c_89526,plain,
! [X0: $i] :
( segmentP(app(app(sk7,sk4),X0),skaf45(app(sk7,sk4),sk7))
| ~ ssList(X0)
| ~ ssList(app(app(sk7,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89525,c_6483,c_298]) ).
tcf(c_89530,plain,
~ frontsegP(cons(sk6,sk7),iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_73623,c_89458]) ).
tcf(c_89531,plain,
( ( app(sk7,sk4) = sk7 )
| ~ frontsegP(sk7,app(sk7,sk4)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_68886,c_89458]) ).
tcf(c_89533,plain,
frontsegP(app(sk7,app(sk4,sk8)),app(sk7,sk4)),
inference(backward_subsumption_resolution,[status(thm)],[c_42031,c_89458]) ).
tcf(c_89534,plain,
rearsegP(app(sk7,app(sk4,sk8)),sk8),
inference(backward_subsumption_resolution,[status(thm)],[c_42028,c_89458]) ).
tcf(c_89535,plain,
ssList(app(sk7,app(sk4,sk8))),
inference(backward_subsumption_resolution,[status(thm)],[c_42025,c_89458]) ).
tcf(c_89536,plain,
frontsegP(app(sk7,app(sk4,sk7)),app(sk7,sk4)),
inference(backward_subsumption_resolution,[status(thm)],[c_41655,c_89458]) ).
tcf(c_89537,plain,
rearsegP(app(sk7,app(sk4,sk7)),sk7),
inference(backward_subsumption_resolution,[status(thm)],[c_41652,c_89458]) ).
tcf(c_89538,plain,
ssList(app(sk7,app(sk4,sk7))),
inference(backward_subsumption_resolution,[status(thm)],[c_41649,c_89458]) ).
tcf(c_89539,plain,
frontsegP(app(sk7,app(sk4,sk4)),app(sk7,sk4)),
inference(backward_subsumption_resolution,[status(thm)],[c_41207,c_89458]) ).
tcf(c_89540,plain,
rearsegP(app(sk7,app(sk4,sk4)),sk4),
inference(backward_subsumption_resolution,[status(thm)],[c_41204,c_89458]) ).
tcf(c_89541,plain,
ssList(app(sk7,app(sk4,sk4))),
inference(backward_subsumption_resolution,[status(thm)],[c_41201,c_89458]) ).
tcf(c_89544,plain,
segmentP(app(sk7,app(sk4,sk8)),sk4),
inference(backward_subsumption_resolution,[status(thm)],[c_42052,c_89535]) ).
tcf(c_89545,plain,
segmentP(app(sk7,app(sk4,sk7)),sk4),
inference(backward_subsumption_resolution,[status(thm)],[c_41662,c_89538]) ).
tcf(c_89546,plain,
segmentP(app(sk7,app(sk4,sk4)),sk4),
inference(backward_subsumption_resolution,[status(thm)],[c_41214,c_89541]) ).
tcf(c_89725,plain,
! [X0: $i] :
( ( app(app(app(sk7,sk4),sk8),X0) = app(app(sk7,sk4),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89458,c_16217]) ).
tcf(c_89726,plain,
! [X0: $i] :
( ( app(app(app(sk7,sk4),sk7),X0) = app(app(sk7,sk4),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89458,c_16216]) ).
tcf(c_89727,plain,
! [X0: $i] :
( ( app(app(app(sk7,sk4),sk4),X0) = app(app(sk7,sk4),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89458,c_16215]) ).
tcf(c_89728,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk7,sk4))) = app(cons(X1,X0),app(sk7,sk4)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89458,c_404]) ).
tcf(c_89729,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk7,sk4)),X0) = app(X1,app(app(sk7,sk4),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89458,c_396]) ).
tcf(c_89730,plain,
! [X0: $i] :
( ( app(sk7,sk4) = nil )
| ( app(tl(app(sk7,sk4)),X0) = tl(app(app(sk7,sk4),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89458,c_380]) ).
tcf(c_89731,plain,
! [X0: $i] :
( ( app(sk7,sk4) = nil )
| ( hd(app(app(sk7,sk4),X0)) = hd(app(sk7,sk4)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89458,c_370]) ).
tcf(c_89732,plain,
hd(cons(skac2,app(sk7,sk4))) = skac2,
inference(superposition,[status(thm)],[c_89458,c_10021]) ).
tcf(c_89733,plain,
hd(cons(skac3,app(sk7,sk4))) = skac3,
inference(superposition,[status(thm)],[c_89458,c_10020]) ).
tcf(c_89734,plain,
tl(cons(skac2,app(sk7,sk4))) = app(sk7,sk4),
inference(superposition,[status(thm)],[c_89458,c_9891]) ).
tcf(c_89735,plain,
cons(sk6,app(app(sk7,sk4),sk4)) = app(cons(sk6,app(sk7,sk4)),sk4),
inference(superposition,[status(thm)],[c_89458,c_64778]) ).
tcf(c_89736,plain,
cons(sk5,app(app(sk7,sk4),sk4)) = app(cons(sk5,app(sk7,sk4)),sk4),
inference(superposition,[status(thm)],[c_89458,c_64777]) ).
tcf(c_89737,plain,
tl(cons(skac3,app(sk7,sk4))) = app(sk7,sk4),
inference(superposition,[status(thm)],[c_89458,c_9890]) ).
tcf(c_89738,plain,
app(app(sk8,sk8),app(sk7,sk4)) = app(sk8,app(sk8,app(sk7,sk4))),
inference(superposition,[status(thm)],[c_89458,c_56349]) ).
tcf(c_89739,plain,
app(app(sk7,sk8),app(sk7,sk4)) = app(sk7,app(sk8,app(sk7,sk4))),
inference(superposition,[status(thm)],[c_89458,c_56348]) ).
tcf(c_89740,plain,
app(app(sk4,sk8),app(sk7,sk4)) = app(sk4,app(sk8,app(sk7,sk4))),
inference(superposition,[status(thm)],[c_89458,c_56347]) ).
tcf(c_89741,plain,
app(app(sk8,sk7),app(sk7,sk4)) = app(sk8,app(sk7,app(sk7,sk4))),
inference(superposition,[status(thm)],[c_89458,c_45540]) ).
tcf(c_89742,plain,
app(app(sk7,sk7),app(sk7,sk4)) = app(sk7,app(sk7,app(sk7,sk4))),
inference(superposition,[status(thm)],[c_89458,c_45539]) ).
tcf(c_89743,plain,
app(app(sk4,sk7),app(sk7,sk4)) = app(sk4,app(sk7,app(sk7,sk4))),
inference(superposition,[status(thm)],[c_89458,c_45538]) ).
tcf(c_89744,plain,
app(app(sk8,sk4),app(sk7,sk4)) = app(sk8,app(sk4,app(sk7,sk4))),
inference(superposition,[status(thm)],[c_89458,c_37633]) ).
tcf(c_89745,plain,
app(app(sk7,sk4),app(sk7,sk4)) = app(sk7,app(sk4,app(sk7,sk4))),
inference(superposition,[status(thm)],[c_89458,c_37632]) ).
tcf(c_89746,plain,
app(app(sk4,sk4),app(sk7,sk4)) = app(sk4,app(sk4,app(sk7,sk4))),
inference(superposition,[status(thm)],[c_89458,c_37631]) ).
tcf(c_89747,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk7,sk4)) = tl(app(sk8,app(sk7,sk4))) ) ),
inference(superposition,[status(thm)],[c_89458,c_14611]) ).
tcf(c_89748,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk7,sk4)) = tl(app(sk7,app(sk7,sk4))) ) ),
inference(superposition,[status(thm)],[c_89458,c_14610]) ).
tcf(c_89749,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk7,sk4)) = tl(app(sk4,app(sk7,sk4))) ) ),
inference(superposition,[status(thm)],[c_89458,c_14609]) ).
tcf(c_89750,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk7,sk4))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_89458,c_11903]) ).
tcf(c_89751,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk7,sk4))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_89458,c_11902]) ).
tcf(c_89752,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk7,sk4))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_89458,c_11901]) ).
tcf(c_89753,plain,
( cyclefreeP(app(sk7,sk4))
| ( app(app(skaf51(app(sk7,sk4)),cons(skaf49(app(sk7,sk4)),skaf52(app(sk7,sk4)))),cons(skaf50(app(sk7,sk4)),skaf53(app(sk7,sk4)))) = app(sk7,sk4) ) ),
inference(superposition,[status(thm)],[c_89458,c_414]) ).
tcf(c_89754,plain,
( totalorderP(app(sk7,sk4))
| ( app(app(skaf56(app(sk7,sk4)),cons(skaf54(app(sk7,sk4)),skaf57(app(sk7,sk4)))),cons(skaf55(app(sk7,sk4)),skaf58(app(sk7,sk4)))) = app(sk7,sk4) ) ),
inference(superposition,[status(thm)],[c_89458,c_413]) ).
tcf(c_89755,plain,
( strictorderP(app(sk7,sk4))
| ( app(app(skaf61(app(sk7,sk4)),cons(skaf59(app(sk7,sk4)),skaf62(app(sk7,sk4)))),cons(skaf60(app(sk7,sk4)),skaf63(app(sk7,sk4)))) = app(sk7,sk4) ) ),
inference(superposition,[status(thm)],[c_89458,c_412]) ).
tcf(c_89756,plain,
( totalorderedP(app(sk7,sk4))
| ( app(app(skaf66(app(sk7,sk4)),cons(skaf64(app(sk7,sk4)),skaf67(app(sk7,sk4)))),cons(skaf65(app(sk7,sk4)),skaf68(app(sk7,sk4)))) = app(sk7,sk4) ) ),
inference(superposition,[status(thm)],[c_89458,c_411]) ).
tcf(c_89757,plain,
( strictorderedP(app(sk7,sk4))
| ( app(app(skaf71(app(sk7,sk4)),cons(skaf69(app(sk7,sk4)),skaf72(app(sk7,sk4)))),cons(skaf70(app(sk7,sk4)),skaf73(app(sk7,sk4)))) = app(sk7,sk4) ) ),
inference(superposition,[status(thm)],[c_89458,c_410]) ).
tcf(c_89758,plain,
( duplicatefreeP(app(sk7,sk4))
| ( app(app(skaf75(app(sk7,sk4)),cons(skaf74(app(sk7,sk4)),skaf76(app(sk7,sk4)))),cons(skaf74(app(sk7,sk4)),skaf77(app(sk7,sk4)))) = app(sk7,sk4) ) ),
inference(superposition,[status(thm)],[c_89458,c_409]) ).
tcf(c_89759,plain,
( equalelemsP(app(sk7,sk4))
| ( app(skaf80(app(sk7,sk4)),cons(skaf78(app(sk7,sk4)),cons(skaf79(app(sk7,sk4)),skaf81(app(sk7,sk4))))) = app(sk7,sk4) ) ),
inference(superposition,[status(thm)],[c_89458,c_389]) ).
tcf(c_89760,plain,
hd(cons(sk6,app(sk7,sk4))) = sk6,
inference(superposition,[status(thm)],[c_89458,c_10017]) ).
tcf(c_89761,plain,
( ( app(sk7,sk4) = nil )
| ( cons(skaf83(app(sk7,sk4)),skaf82(app(sk7,sk4))) = app(sk7,sk4) ) ),
inference(superposition,[status(thm)],[c_89458,c_356]) ).
tcf(c_89762,plain,
( ( app(sk7,sk4) = nil )
| ( cons(hd(app(sk7,sk4)),tl(app(sk7,sk4))) = app(sk7,sk4) ) ),
inference(superposition,[status(thm)],[c_89458,c_351]) ).
tcf(c_89763,plain,
hd(cons(sk5,app(sk7,sk4))) = sk5,
inference(superposition,[status(thm)],[c_89458,c_10016]) ).
tcf(c_89764,plain,
tl(cons(sk6,app(sk7,sk4))) = app(sk7,sk4),
inference(superposition,[status(thm)],[c_89458,c_9887]) ).
tcf(c_89765,plain,
tl(cons(sk5,app(sk7,sk4))) = app(sk7,sk4),
inference(superposition,[status(thm)],[c_89458,c_9886]) ).
tcf(c_89766,plain,
( duplicatefreeP(app(sk7,sk4))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_89458,c_6471]) ).
tcf(c_89767,plain,
app(nil,app(sk7,sk4)) = app(sk7,sk4),
inference(superposition,[status(thm)],[c_89458,c_321]) ).
tcf(c_89777,plain,
cons(sk5,app(sk7,app(sk4,sk4))) = app(cons(sk5,app(sk7,sk4)),sk4),
inference(light_normalisation,[status(thm)],[c_89736,c_40759]) ).
tcf(c_89778,plain,
cons(sk6,app(sk7,app(sk4,sk4))) = app(cons(sk6,app(sk7,sk4)),sk4),
inference(light_normalisation,[status(thm)],[c_89735,c_40759]) ).
tcf(c_89785,plain,
! [X0: $i] :
( ( app(app(sk7,app(sk4,sk4)),X0) = app(app(sk7,sk4),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_89727,c_40759]) ).
tcf(c_89788,plain,
! [X0: $i] :
( ( app(app(sk7,app(sk4,sk7)),X0) = app(app(sk7,sk4),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_89726,c_40760]) ).
tcf(c_89791,plain,
! [X0: $i] :
( ( app(app(sk7,app(sk4,sk8)),X0) = app(app(sk7,sk4),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_89725,c_40761]) ).
tcf(c_90124,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk7,sk4),sk7))
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ rearsegP(X0,app(sk7,sk4))
| ~ ssList(skaf45(app(sk7,sk4),sk7)) ),
inference(superposition,[status(thm)],[c_89468,c_400]) ).
tcf(c_90125,plain,
( ( app(skaf46(app(sk7,sk4),skaf45(app(sk7,sk4),sk7)),skaf45(app(sk7,sk4),sk7)) = app(sk7,sk4) )
| ~ ssList(app(sk7,sk4))
| ~ ssList(skaf45(app(sk7,sk4),sk7)) ),
inference(superposition,[status(thm)],[c_89468,c_378]) ).
tcf(c_90126,plain,
( ( skaf45(app(sk7,sk4),sk7) = app(sk7,sk4) )
| ~ ssList(app(sk7,sk4))
| ~ ssList(skaf45(app(sk7,sk4),sk7))
| ~ rearsegP(skaf45(app(sk7,sk4),sk7),app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_89468,c_375]) ).
tcf(c_90127,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk7,sk4),sk7))
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90124,c_89458,c_298]) ).
tcf(c_90131,plain,
( ( skaf45(app(sk7,sk4),sk7) = app(sk7,sk4) )
| ~ rearsegP(skaf45(app(sk7,sk4),sk7),app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90126,c_89458,c_298]) ).
tcf(c_90134,plain,
app(skaf46(app(sk7,sk4),skaf45(app(sk7,sk4),sk7)),skaf45(app(sk7,sk4),sk7)) = app(sk7,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_90125,c_89458,c_298]) ).
tcf(c_90144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf58(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf58(X1)))
| ~ ssList(tl(skaf58(X1)))
| ~ leq(X2,hd(skaf58(X1)))
| ~ leq(hd(skaf58(X1)),X2)
| ~ ssList(app(app(X0,skaf58(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf58(X1)),tl(skaf58(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10785,c_432]) ).
tcf(c_90145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf58(X1)))
| leq(hd(skaf58(X1)),X2)
| ( skaf58(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf58(X1)))
| ~ ssList(tl(skaf58(X1)))
| ~ ssList(app(app(X0,skaf58(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf58(X1)),tl(skaf58(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10785,c_431]) ).
tcf(c_90146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf58(X1)))
| lt(hd(skaf58(X1)),X2)
| ( skaf58(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf58(X1)))
| ~ ssList(tl(skaf58(X1)))
| ~ ssList(app(app(X0,skaf58(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf58(X1)),tl(skaf58(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10785,c_430]) ).
tcf(c_90147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf58(X1)),X2)
| ( skaf58(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf58(X1)))
| ~ ssList(tl(skaf58(X1)))
| ~ ssList(app(app(X0,skaf58(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf58(X1)),tl(skaf58(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10785,c_429]) ).
tcf(c_90148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf58(X1)),X2)
| ( skaf58(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf58(X1)))
| ~ ssList(tl(skaf58(X1)))
| ~ ssList(app(app(X0,skaf58(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf58(X1)),tl(skaf58(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10785,c_428]) ).
tcf(c_90149,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf58(X1)))
| ~ ssList(tl(skaf58(X1)))
| ~ ssList(app(app(X0,skaf58(X1)),cons(hd(skaf58(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf58(X1)),tl(skaf58(X1)))),cons(hd(skaf58(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10785,c_426]) ).
tcf(c_90150,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf58(X1)),hd(skaf58(X1)))
| ( skaf58(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf58(X1)))
| ~ ssList(tl(skaf58(X1)))
| ~ ssList(app(X0,cons(hd(skaf58(X1)),tl(skaf58(X1))))) ),
inference(superposition,[status(thm)],[c_10785,c_422]) ).
tcf(c_90151,plain,
! [X0: $i] :
( memberP(skaf58(X0),hd(skaf58(X0)))
| ( skaf58(X0) = nil )
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_10785,c_385]) ).
tcf(c_90153,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( tl(skaf58(X0)) = nil )
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0)))
| ( skaf58(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10785,c_21847]) ).
tcf(c_90154,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( tl(skaf58(X0)) = nil )
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0)))
| ( skaf58(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10785,c_21842]) ).
tcf(c_90155,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( hd(skaf58(X0)) = sk5 )
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0)))
| ( skaf58(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10785,c_21750]) ).
tcf(c_90156,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( hd(skaf58(X0)) = sk6 )
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0)))
| ( skaf58(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10785,c_21745]) ).
tcf(c_90157,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( hd(skaf58(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf58(X0))
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_10785,c_21595]) ).
tcf(c_90158,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( hd(skaf58(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf58(X0))
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_10785,c_21590]) ).
tcf(c_90159,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( hd(skaf58(X0)) = sk5 )
| ~ frontsegP(skaf58(X0),iPr_def_12)
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_10785,c_21585]) ).
tcf(c_90160,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( hd(skaf58(X0)) = sk6 )
| ~ frontsegP(skaf58(X0),iPr_def_14)
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_10785,c_21580]) ).
tcf(c_90161,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf58(X0)))
| ( skaf58(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf58(X0))
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_10785,c_21202]) ).
tcf(c_90162,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf58(X0)))
| ( skaf58(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf58(X0))
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_10785,c_21197]) ).
tcf(c_90165,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X0) = nil )
| ( hd(skaf58(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0)))
| ~ frontsegP(skaf58(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10785,c_423]) ).
tcf(c_90166,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf58(X0)),X2)
| ( skaf58(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0)))
| ~ frontsegP(skaf58(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10785,c_421]) ).
tcf(c_90167,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf58(X0)),X1)
| ( skaf58(X0) = nil )
| ( hd(skaf58(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0)))
| ~ memberP(skaf58(X0),X1) ),
inference(superposition,[status(thm)],[c_10785,c_408]) ).
tcf(c_90168,plain,
! [X0: $i] :
( leq(hd(skaf58(X0)),hd(tl(skaf58(X0))))
| ( skaf58(X0) = nil )
| ( tl(skaf58(X0)) = nil )
| ~ totalorderedP(skaf58(X0))
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_10785,c_382]) ).
tcf(c_90169,plain,
! [X0: $i] :
( lt(hd(skaf58(X0)),hd(tl(skaf58(X0))))
| ( skaf58(X0) = nil )
| ( tl(skaf58(X0)) = nil )
| ~ strictorderedP(skaf58(X0))
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_10785,c_381]) ).
tcf(c_90170,plain,
! [X0: $i] :
( totalorderedP(tl(skaf58(X0)))
| ( skaf58(X0) = nil )
| ( tl(skaf58(X0)) = nil )
| ~ totalorderedP(skaf58(X0))
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_10785,c_372]) ).
tcf(c_90171,plain,
! [X0: $i] :
( strictorderedP(tl(skaf58(X0)))
| ( skaf58(X0) = nil )
| ( tl(skaf58(X0)) = nil )
| ~ strictorderedP(skaf58(X0))
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_10785,c_371]) ).
tcf(c_90172,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0)))
| ( tl(skaf58(X0)) != skaf58(X0) ) ),
inference(superposition,[status(thm)],[c_10785,c_346]) ).
tcf(c_90174,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf58(X1)),X0),skaf58(X1))
| ( skaf58(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf58(X1)))
| ~ ssList(tl(skaf58(X1)))
| ~ frontsegP(X0,tl(skaf58(X1))) ),
inference(superposition,[status(thm)],[c_10785,c_425]) ).
tcf(c_90175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X2) = nil )
| ( hd(skaf58(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf58(X2)))
| ~ ssList(tl(skaf58(X2)))
| ~ ssList(app(X0,cons(X1,skaf58(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf58(X2)),tl(skaf58(X2)))))) ),
inference(superposition,[status(thm)],[c_10785,c_427]) ).
tcf(c_90176,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X2) = nil )
| ( tl(skaf58(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf58(X2)))
| ~ ssList(tl(skaf58(X2)))
| ( cons(X0,X1) != skaf58(X2) ) ),
inference(superposition,[status(thm)],[c_10785,c_418]) ).
tcf(c_90177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X2) = nil )
| ( hd(skaf58(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf58(X2)))
| ~ ssList(tl(skaf58(X2)))
| ( cons(X0,X1) != skaf58(X2) ) ),
inference(superposition,[status(thm)],[c_10785,c_417]) ).
tcf(c_90178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X2) = nil )
| ( hd(skaf58(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf58(X2)))
| ~ ssList(tl(skaf58(X2)))
| ~ frontsegP(cons(X0,X1),skaf58(X2)) ),
inference(superposition,[status(thm)],[c_10785,c_423]) ).
tcf(c_90179,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf58(X2)))
| ( skaf58(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf58(X2)))
| ~ ssList(tl(skaf58(X2)))
| ~ frontsegP(cons(X0,X1),skaf58(X2)) ),
inference(superposition,[status(thm)],[c_10785,c_421]) ).
tcf(c_90180,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf58(X0),cons(hd(skaf58(X0)),X1))
| ( skaf58(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0)))
| ~ frontsegP(tl(skaf58(X0)),X1) ),
inference(superposition,[status(thm)],[c_10785,c_425]) ).
tcf(c_90181,plain,
! [X0: $i,X1: $i] :
( memberP(skaf58(X0),X1)
| ( skaf58(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf58(X0)))
| ~ ssList(tl(skaf58(X0)))
| ~ memberP(tl(skaf58(X0)),X1) ),
inference(superposition,[status(thm)],[c_10785,c_386]) ).
tcf(c_90182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf58(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf58(X3)))
| ~ ssList(tl(skaf58(X3)))
| ~ leq(X1,hd(skaf58(X3)))
| ~ leq(hd(skaf58(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf58(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf58(X3)),tl(skaf58(X3))))) ),
inference(superposition,[status(thm)],[c_10785,c_432]) ).
tcf(c_90183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf58(X3)))
| leq(hd(skaf58(X3)),X1)
| ( skaf58(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf58(X3)))
| ~ ssList(tl(skaf58(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf58(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf58(X3)),tl(skaf58(X3))))) ),
inference(superposition,[status(thm)],[c_10785,c_431]) ).
tcf(c_90184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf58(X3)))
| lt(hd(skaf58(X3)),X1)
| ( skaf58(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf58(X3)))
| ~ ssList(tl(skaf58(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf58(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf58(X3)),tl(skaf58(X3))))) ),
inference(superposition,[status(thm)],[c_10785,c_430]) ).
tcf(c_90185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf58(X3)))
| ( skaf58(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf58(X3)))
| ~ ssList(tl(skaf58(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf58(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf58(X3)),tl(skaf58(X3))))) ),
inference(superposition,[status(thm)],[c_10785,c_429]) ).
tcf(c_90186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf58(X3)))
| ( skaf58(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf58(X3)))
| ~ ssList(tl(skaf58(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf58(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf58(X3)),tl(skaf58(X3))))) ),
inference(superposition,[status(thm)],[c_10785,c_428]) ).
tcf(c_90187,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf58(X1)))
| ~ ssList(tl(skaf58(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf58(X1)),X2)),skaf58(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf58(X1)),X2)),cons(hd(skaf58(X1)),tl(skaf58(X1))))) ),
inference(superposition,[status(thm)],[c_10785,c_426]) ).
tcf(c_90654,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk8)),sk8),X0) = app(app(sk7,app(sk4,sk8)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89535,c_16217]) ).
tcf(c_90655,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk8)),sk7),X0) = app(app(sk7,app(sk4,sk8)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89535,c_16216]) ).
tcf(c_90656,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk8)),sk4),X0) = app(app(sk7,app(sk4,sk8)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89535,c_16215]) ).
tcf(c_90657,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk7,app(sk4,sk8)))) = app(cons(X1,X0),app(sk7,app(sk4,sk8))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89535,c_404]) ).
tcf(c_90658,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk7,app(sk4,sk8))),X0) = app(X1,app(app(sk7,app(sk4,sk8)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89535,c_396]) ).
tcf(c_90659,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk8)) = nil )
| ( app(tl(app(sk7,app(sk4,sk8))),X0) = tl(app(app(sk7,app(sk4,sk8)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89535,c_380]) ).
tcf(c_90660,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk8)) = nil )
| ( hd(app(app(sk7,app(sk4,sk8)),X0)) = hd(app(sk7,app(sk4,sk8))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89535,c_370]) ).
tcf(c_90661,plain,
hd(cons(skac2,app(sk7,app(sk4,sk8)))) = skac2,
inference(superposition,[status(thm)],[c_89535,c_10021]) ).
tcf(c_90662,plain,
hd(cons(skac3,app(sk7,app(sk4,sk8)))) = skac3,
inference(superposition,[status(thm)],[c_89535,c_10020]) ).
tcf(c_90663,plain,
tl(cons(skac2,app(sk7,app(sk4,sk8)))) = app(sk7,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_89535,c_9891]) ).
tcf(c_90664,plain,
cons(sk6,app(app(sk7,app(sk4,sk8)),sk4)) = app(cons(sk6,app(sk7,app(sk4,sk8))),sk4),
inference(superposition,[status(thm)],[c_89535,c_64778]) ).
tcf(c_90665,plain,
cons(sk5,app(app(sk7,app(sk4,sk8)),sk4)) = app(cons(sk5,app(sk7,app(sk4,sk8))),sk4),
inference(superposition,[status(thm)],[c_89535,c_64777]) ).
tcf(c_90666,plain,
tl(cons(skac3,app(sk7,app(sk4,sk8)))) = app(sk7,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_89535,c_9890]) ).
tcf(c_90667,plain,
app(app(sk8,sk8),app(sk7,app(sk4,sk8))) = app(sk8,app(sk8,app(sk7,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_89535,c_56349]) ).
tcf(c_90668,plain,
app(app(sk7,sk8),app(sk7,app(sk4,sk8))) = app(sk7,app(sk8,app(sk7,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_89535,c_56348]) ).
tcf(c_90669,plain,
app(app(sk4,sk8),app(sk7,app(sk4,sk8))) = app(sk4,app(sk8,app(sk7,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_89535,c_56347]) ).
tcf(c_90670,plain,
app(app(sk8,sk7),app(sk7,app(sk4,sk8))) = app(sk8,app(sk7,app(sk7,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_89535,c_45540]) ).
tcf(c_90671,plain,
app(app(sk7,sk7),app(sk7,app(sk4,sk8))) = app(sk7,app(sk7,app(sk7,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_89535,c_45539]) ).
tcf(c_90672,plain,
app(app(sk4,sk7),app(sk7,app(sk4,sk8))) = app(sk4,app(sk7,app(sk7,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_89535,c_45538]) ).
tcf(c_90673,plain,
app(app(sk8,sk4),app(sk7,app(sk4,sk8))) = app(sk8,app(sk4,app(sk7,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_89535,c_37633]) ).
tcf(c_90674,plain,
app(app(sk7,sk4),app(sk7,app(sk4,sk8))) = app(sk7,app(sk4,app(sk7,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_89535,c_37632]) ).
tcf(c_90675,plain,
app(app(sk4,sk4),app(sk7,app(sk4,sk8))) = app(sk4,app(sk4,app(sk7,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_89535,c_37631]) ).
tcf(c_90676,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk7,app(sk4,sk8))) = tl(app(sk8,app(sk7,app(sk4,sk8)))) ) ),
inference(superposition,[status(thm)],[c_89535,c_14611]) ).
tcf(c_90677,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk7,app(sk4,sk8))) = tl(app(sk7,app(sk7,app(sk4,sk8)))) ) ),
inference(superposition,[status(thm)],[c_89535,c_14610]) ).
tcf(c_90678,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk7,app(sk4,sk8))) = tl(app(sk4,app(sk7,app(sk4,sk8)))) ) ),
inference(superposition,[status(thm)],[c_89535,c_14609]) ).
tcf(c_90679,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk7,app(sk4,sk8)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_89535,c_11903]) ).
tcf(c_90680,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk7,app(sk4,sk8)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_89535,c_11902]) ).
tcf(c_90681,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk7,app(sk4,sk8)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_89535,c_11901]) ).
tcf(c_90682,plain,
( cyclefreeP(app(sk7,app(sk4,sk8)))
| ( app(app(skaf51(app(sk7,app(sk4,sk8))),cons(skaf49(app(sk7,app(sk4,sk8))),skaf52(app(sk7,app(sk4,sk8))))),cons(skaf50(app(sk7,app(sk4,sk8))),skaf53(app(sk7,app(sk4,sk8))))) = app(sk7,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_89535,c_414]) ).
tcf(c_90683,plain,
( totalorderP(app(sk7,app(sk4,sk8)))
| ( app(app(skaf56(app(sk7,app(sk4,sk8))),cons(skaf54(app(sk7,app(sk4,sk8))),skaf57(app(sk7,app(sk4,sk8))))),cons(skaf55(app(sk7,app(sk4,sk8))),skaf58(app(sk7,app(sk4,sk8))))) = app(sk7,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_89535,c_413]) ).
tcf(c_90684,plain,
( strictorderP(app(sk7,app(sk4,sk8)))
| ( app(app(skaf61(app(sk7,app(sk4,sk8))),cons(skaf59(app(sk7,app(sk4,sk8))),skaf62(app(sk7,app(sk4,sk8))))),cons(skaf60(app(sk7,app(sk4,sk8))),skaf63(app(sk7,app(sk4,sk8))))) = app(sk7,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_89535,c_412]) ).
tcf(c_90685,plain,
( totalorderedP(app(sk7,app(sk4,sk8)))
| ( app(app(skaf66(app(sk7,app(sk4,sk8))),cons(skaf64(app(sk7,app(sk4,sk8))),skaf67(app(sk7,app(sk4,sk8))))),cons(skaf65(app(sk7,app(sk4,sk8))),skaf68(app(sk7,app(sk4,sk8))))) = app(sk7,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_89535,c_411]) ).
tcf(c_90686,plain,
( strictorderedP(app(sk7,app(sk4,sk8)))
| ( app(app(skaf71(app(sk7,app(sk4,sk8))),cons(skaf69(app(sk7,app(sk4,sk8))),skaf72(app(sk7,app(sk4,sk8))))),cons(skaf70(app(sk7,app(sk4,sk8))),skaf73(app(sk7,app(sk4,sk8))))) = app(sk7,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_89535,c_410]) ).
tcf(c_90687,plain,
( duplicatefreeP(app(sk7,app(sk4,sk8)))
| ( app(app(skaf75(app(sk7,app(sk4,sk8))),cons(skaf74(app(sk7,app(sk4,sk8))),skaf76(app(sk7,app(sk4,sk8))))),cons(skaf74(app(sk7,app(sk4,sk8))),skaf77(app(sk7,app(sk4,sk8))))) = app(sk7,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_89535,c_409]) ).
tcf(c_90688,plain,
( equalelemsP(app(sk7,app(sk4,sk8)))
| ( app(skaf80(app(sk7,app(sk4,sk8))),cons(skaf78(app(sk7,app(sk4,sk8))),cons(skaf79(app(sk7,app(sk4,sk8))),skaf81(app(sk7,app(sk4,sk8)))))) = app(sk7,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_89535,c_389]) ).
tcf(c_90689,plain,
hd(cons(sk6,app(sk7,app(sk4,sk8)))) = sk6,
inference(superposition,[status(thm)],[c_89535,c_10017]) ).
tcf(c_90690,plain,
( ( app(sk7,app(sk4,sk8)) = nil )
| ( cons(skaf83(app(sk7,app(sk4,sk8))),skaf82(app(sk7,app(sk4,sk8)))) = app(sk7,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_89535,c_356]) ).
tcf(c_90691,plain,
( ( app(sk7,app(sk4,sk8)) = nil )
| ( cons(hd(app(sk7,app(sk4,sk8))),tl(app(sk7,app(sk4,sk8)))) = app(sk7,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_89535,c_351]) ).
tcf(c_90692,plain,
hd(cons(sk5,app(sk7,app(sk4,sk8)))) = sk5,
inference(superposition,[status(thm)],[c_89535,c_10016]) ).
tcf(c_90693,plain,
tl(cons(sk6,app(sk7,app(sk4,sk8)))) = app(sk7,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_89535,c_9887]) ).
tcf(c_90694,plain,
tl(cons(sk5,app(sk7,app(sk4,sk8)))) = app(sk7,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_89535,c_9886]) ).
tcf(c_90695,plain,
( duplicatefreeP(app(sk7,app(sk4,sk8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_89535,c_6471]) ).
tcf(c_90696,plain,
app(nil,app(sk7,app(sk4,sk8))) = app(sk7,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_89535,c_321]) ).
tcf(c_90697,plain,
app(app(sk7,app(sk4,sk8)),nil) = app(sk7,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_89535,c_320]) ).
tcf(c_90877,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk7)),sk8),X0) = app(app(sk7,app(sk4,sk7)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89538,c_16217]) ).
tcf(c_90878,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk7)),sk7),X0) = app(app(sk7,app(sk4,sk7)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89538,c_16216]) ).
tcf(c_90879,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk7)),sk4),X0) = app(app(sk7,app(sk4,sk7)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89538,c_16215]) ).
tcf(c_90880,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk7,app(sk4,sk7)))) = app(cons(X1,X0),app(sk7,app(sk4,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89538,c_404]) ).
tcf(c_90881,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk7,app(sk4,sk7))),X0) = app(X1,app(app(sk7,app(sk4,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89538,c_396]) ).
tcf(c_90882,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk7)) = nil )
| ( app(tl(app(sk7,app(sk4,sk7))),X0) = tl(app(app(sk7,app(sk4,sk7)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89538,c_380]) ).
tcf(c_90883,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk7)) = nil )
| ( hd(app(app(sk7,app(sk4,sk7)),X0)) = hd(app(sk7,app(sk4,sk7))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89538,c_370]) ).
tcf(c_90884,plain,
hd(cons(skac2,app(sk7,app(sk4,sk7)))) = skac2,
inference(superposition,[status(thm)],[c_89538,c_10021]) ).
tcf(c_90885,plain,
hd(cons(skac3,app(sk7,app(sk4,sk7)))) = skac3,
inference(superposition,[status(thm)],[c_89538,c_10020]) ).
tcf(c_90886,plain,
tl(cons(skac2,app(sk7,app(sk4,sk7)))) = app(sk7,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_89538,c_9891]) ).
tcf(c_90887,plain,
cons(sk6,app(app(sk7,app(sk4,sk7)),sk4)) = app(cons(sk6,app(sk7,app(sk4,sk7))),sk4),
inference(superposition,[status(thm)],[c_89538,c_64778]) ).
tcf(c_90888,plain,
cons(sk5,app(app(sk7,app(sk4,sk7)),sk4)) = app(cons(sk5,app(sk7,app(sk4,sk7))),sk4),
inference(superposition,[status(thm)],[c_89538,c_64777]) ).
tcf(c_90889,plain,
tl(cons(skac3,app(sk7,app(sk4,sk7)))) = app(sk7,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_89538,c_9890]) ).
tcf(c_90890,plain,
app(app(sk8,sk8),app(sk7,app(sk4,sk7))) = app(sk8,app(sk8,app(sk7,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_89538,c_56349]) ).
tcf(c_90891,plain,
app(app(sk7,sk8),app(sk7,app(sk4,sk7))) = app(sk7,app(sk8,app(sk7,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_89538,c_56348]) ).
tcf(c_90892,plain,
app(app(sk4,sk8),app(sk7,app(sk4,sk7))) = app(sk4,app(sk8,app(sk7,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_89538,c_56347]) ).
tcf(c_90893,plain,
app(app(sk8,sk7),app(sk7,app(sk4,sk7))) = app(sk8,app(sk7,app(sk7,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_89538,c_45540]) ).
tcf(c_90894,plain,
app(app(sk7,sk7),app(sk7,app(sk4,sk7))) = app(sk7,app(sk7,app(sk7,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_89538,c_45539]) ).
tcf(c_90895,plain,
app(app(sk4,sk7),app(sk7,app(sk4,sk7))) = app(sk4,app(sk7,app(sk7,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_89538,c_45538]) ).
tcf(c_90896,plain,
app(app(sk8,sk4),app(sk7,app(sk4,sk7))) = app(sk8,app(sk4,app(sk7,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_89538,c_37633]) ).
tcf(c_90897,plain,
app(app(sk7,sk4),app(sk7,app(sk4,sk7))) = app(sk7,app(sk4,app(sk7,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_89538,c_37632]) ).
tcf(c_90898,plain,
app(app(sk4,sk4),app(sk7,app(sk4,sk7))) = app(sk4,app(sk4,app(sk7,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_89538,c_37631]) ).
tcf(c_90899,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk7,app(sk4,sk7))) = tl(app(sk8,app(sk7,app(sk4,sk7)))) ) ),
inference(superposition,[status(thm)],[c_89538,c_14611]) ).
tcf(c_90900,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk7,app(sk4,sk7))) = tl(app(sk7,app(sk7,app(sk4,sk7)))) ) ),
inference(superposition,[status(thm)],[c_89538,c_14610]) ).
tcf(c_90901,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk7,app(sk4,sk7))) = tl(app(sk4,app(sk7,app(sk4,sk7)))) ) ),
inference(superposition,[status(thm)],[c_89538,c_14609]) ).
tcf(c_90902,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk7,app(sk4,sk7)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_89538,c_11903]) ).
tcf(c_90903,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk7,app(sk4,sk7)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_89538,c_11902]) ).
tcf(c_90904,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk7,app(sk4,sk7)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_89538,c_11901]) ).
tcf(c_90905,plain,
( cyclefreeP(app(sk7,app(sk4,sk7)))
| ( app(app(skaf51(app(sk7,app(sk4,sk7))),cons(skaf49(app(sk7,app(sk4,sk7))),skaf52(app(sk7,app(sk4,sk7))))),cons(skaf50(app(sk7,app(sk4,sk7))),skaf53(app(sk7,app(sk4,sk7))))) = app(sk7,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_89538,c_414]) ).
tcf(c_90906,plain,
( totalorderP(app(sk7,app(sk4,sk7)))
| ( app(app(skaf56(app(sk7,app(sk4,sk7))),cons(skaf54(app(sk7,app(sk4,sk7))),skaf57(app(sk7,app(sk4,sk7))))),cons(skaf55(app(sk7,app(sk4,sk7))),skaf58(app(sk7,app(sk4,sk7))))) = app(sk7,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_89538,c_413]) ).
tcf(c_90907,plain,
( strictorderP(app(sk7,app(sk4,sk7)))
| ( app(app(skaf61(app(sk7,app(sk4,sk7))),cons(skaf59(app(sk7,app(sk4,sk7))),skaf62(app(sk7,app(sk4,sk7))))),cons(skaf60(app(sk7,app(sk4,sk7))),skaf63(app(sk7,app(sk4,sk7))))) = app(sk7,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_89538,c_412]) ).
tcf(c_90908,plain,
( totalorderedP(app(sk7,app(sk4,sk7)))
| ( app(app(skaf66(app(sk7,app(sk4,sk7))),cons(skaf64(app(sk7,app(sk4,sk7))),skaf67(app(sk7,app(sk4,sk7))))),cons(skaf65(app(sk7,app(sk4,sk7))),skaf68(app(sk7,app(sk4,sk7))))) = app(sk7,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_89538,c_411]) ).
tcf(c_90909,plain,
( strictorderedP(app(sk7,app(sk4,sk7)))
| ( app(app(skaf71(app(sk7,app(sk4,sk7))),cons(skaf69(app(sk7,app(sk4,sk7))),skaf72(app(sk7,app(sk4,sk7))))),cons(skaf70(app(sk7,app(sk4,sk7))),skaf73(app(sk7,app(sk4,sk7))))) = app(sk7,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_89538,c_410]) ).
tcf(c_90910,plain,
( duplicatefreeP(app(sk7,app(sk4,sk7)))
| ( app(app(skaf75(app(sk7,app(sk4,sk7))),cons(skaf74(app(sk7,app(sk4,sk7))),skaf76(app(sk7,app(sk4,sk7))))),cons(skaf74(app(sk7,app(sk4,sk7))),skaf77(app(sk7,app(sk4,sk7))))) = app(sk7,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_89538,c_409]) ).
tcf(c_90911,plain,
( equalelemsP(app(sk7,app(sk4,sk7)))
| ( app(skaf80(app(sk7,app(sk4,sk7))),cons(skaf78(app(sk7,app(sk4,sk7))),cons(skaf79(app(sk7,app(sk4,sk7))),skaf81(app(sk7,app(sk4,sk7)))))) = app(sk7,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_89538,c_389]) ).
tcf(c_90912,plain,
hd(cons(sk6,app(sk7,app(sk4,sk7)))) = sk6,
inference(superposition,[status(thm)],[c_89538,c_10017]) ).
tcf(c_90913,plain,
( ( app(sk7,app(sk4,sk7)) = nil )
| ( cons(skaf83(app(sk7,app(sk4,sk7))),skaf82(app(sk7,app(sk4,sk7)))) = app(sk7,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_89538,c_356]) ).
tcf(c_90914,plain,
( ( app(sk7,app(sk4,sk7)) = nil )
| ( cons(hd(app(sk7,app(sk4,sk7))),tl(app(sk7,app(sk4,sk7)))) = app(sk7,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_89538,c_351]) ).
tcf(c_90915,plain,
hd(cons(sk5,app(sk7,app(sk4,sk7)))) = sk5,
inference(superposition,[status(thm)],[c_89538,c_10016]) ).
tcf(c_90916,plain,
tl(cons(sk6,app(sk7,app(sk4,sk7)))) = app(sk7,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_89538,c_9887]) ).
tcf(c_90917,plain,
tl(cons(sk5,app(sk7,app(sk4,sk7)))) = app(sk7,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_89538,c_9886]) ).
tcf(c_90918,plain,
( duplicatefreeP(app(sk7,app(sk4,sk7)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_89538,c_6471]) ).
tcf(c_90919,plain,
app(nil,app(sk7,app(sk4,sk7))) = app(sk7,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_89538,c_321]) ).
tcf(c_90920,plain,
app(app(sk7,app(sk4,sk7)),nil) = app(sk7,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_89538,c_320]) ).
tcf(c_91230,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk4)),sk8),X0) = app(app(sk7,app(sk4,sk4)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89541,c_16217]) ).
tcf(c_91231,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk4)),sk7),X0) = app(app(sk7,app(sk4,sk4)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89541,c_16216]) ).
tcf(c_91232,plain,
! [X0: $i] :
( ( app(app(app(sk7,app(sk4,sk4)),sk4),X0) = app(app(sk7,app(sk4,sk4)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89541,c_16215]) ).
tcf(c_91233,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk7,app(sk4,sk4)))) = app(cons(X1,X0),app(sk7,app(sk4,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89541,c_404]) ).
tcf(c_91234,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk7,app(sk4,sk4))),X0) = app(X1,app(app(sk7,app(sk4,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89541,c_396]) ).
tcf(c_91235,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk4)) = nil )
| ( app(tl(app(sk7,app(sk4,sk4))),X0) = tl(app(app(sk7,app(sk4,sk4)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89541,c_380]) ).
tcf(c_91236,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk4)) = nil )
| ( hd(app(app(sk7,app(sk4,sk4)),X0)) = hd(app(sk7,app(sk4,sk4))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89541,c_370]) ).
tcf(c_91237,plain,
hd(cons(skac2,app(sk7,app(sk4,sk4)))) = skac2,
inference(superposition,[status(thm)],[c_89541,c_10021]) ).
tcf(c_91238,plain,
hd(cons(skac3,app(sk7,app(sk4,sk4)))) = skac3,
inference(superposition,[status(thm)],[c_89541,c_10020]) ).
tcf(c_91239,plain,
tl(cons(skac2,app(sk7,app(sk4,sk4)))) = app(sk7,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_89541,c_9891]) ).
tcf(c_91240,plain,
cons(sk6,app(app(sk7,app(sk4,sk4)),sk4)) = app(cons(sk6,app(sk7,app(sk4,sk4))),sk4),
inference(superposition,[status(thm)],[c_89541,c_64778]) ).
tcf(c_91241,plain,
cons(sk5,app(app(sk7,app(sk4,sk4)),sk4)) = app(cons(sk5,app(sk7,app(sk4,sk4))),sk4),
inference(superposition,[status(thm)],[c_89541,c_64777]) ).
tcf(c_91242,plain,
tl(cons(skac3,app(sk7,app(sk4,sk4)))) = app(sk7,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_89541,c_9890]) ).
tcf(c_91243,plain,
app(app(sk8,sk8),app(sk7,app(sk4,sk4))) = app(sk8,app(sk8,app(sk7,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_89541,c_56349]) ).
tcf(c_91244,plain,
app(app(sk7,sk8),app(sk7,app(sk4,sk4))) = app(sk7,app(sk8,app(sk7,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_89541,c_56348]) ).
tcf(c_91245,plain,
app(app(sk4,sk8),app(sk7,app(sk4,sk4))) = app(sk4,app(sk8,app(sk7,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_89541,c_56347]) ).
tcf(c_91246,plain,
app(app(sk8,sk7),app(sk7,app(sk4,sk4))) = app(sk8,app(sk7,app(sk7,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_89541,c_45540]) ).
tcf(c_91247,plain,
app(app(sk7,sk7),app(sk7,app(sk4,sk4))) = app(sk7,app(sk7,app(sk7,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_89541,c_45539]) ).
tcf(c_91248,plain,
app(app(sk4,sk7),app(sk7,app(sk4,sk4))) = app(sk4,app(sk7,app(sk7,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_89541,c_45538]) ).
tcf(c_91249,plain,
app(app(sk8,sk4),app(sk7,app(sk4,sk4))) = app(sk8,app(sk4,app(sk7,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_89541,c_37633]) ).
tcf(c_91250,plain,
app(app(sk7,sk4),app(sk7,app(sk4,sk4))) = app(sk7,app(sk4,app(sk7,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_89541,c_37632]) ).
tcf(c_91251,plain,
app(app(sk4,sk4),app(sk7,app(sk4,sk4))) = app(sk4,app(sk4,app(sk7,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_89541,c_37631]) ).
tcf(c_91252,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk7,app(sk4,sk4))) = tl(app(sk8,app(sk7,app(sk4,sk4)))) ) ),
inference(superposition,[status(thm)],[c_89541,c_14611]) ).
tcf(c_91253,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk7,app(sk4,sk4))) = tl(app(sk7,app(sk7,app(sk4,sk4)))) ) ),
inference(superposition,[status(thm)],[c_89541,c_14610]) ).
tcf(c_91254,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk7,app(sk4,sk4))) = tl(app(sk4,app(sk7,app(sk4,sk4)))) ) ),
inference(superposition,[status(thm)],[c_89541,c_14609]) ).
tcf(c_91255,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk7,app(sk4,sk4)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_89541,c_11903]) ).
tcf(c_91256,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk7,app(sk4,sk4)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_89541,c_11902]) ).
tcf(c_91257,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk7,app(sk4,sk4)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_89541,c_11901]) ).
tcf(c_91258,plain,
( cyclefreeP(app(sk7,app(sk4,sk4)))
| ( app(app(skaf51(app(sk7,app(sk4,sk4))),cons(skaf49(app(sk7,app(sk4,sk4))),skaf52(app(sk7,app(sk4,sk4))))),cons(skaf50(app(sk7,app(sk4,sk4))),skaf53(app(sk7,app(sk4,sk4))))) = app(sk7,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_89541,c_414]) ).
tcf(c_91259,plain,
( totalorderP(app(sk7,app(sk4,sk4)))
| ( app(app(skaf56(app(sk7,app(sk4,sk4))),cons(skaf54(app(sk7,app(sk4,sk4))),skaf57(app(sk7,app(sk4,sk4))))),cons(skaf55(app(sk7,app(sk4,sk4))),skaf58(app(sk7,app(sk4,sk4))))) = app(sk7,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_89541,c_413]) ).
tcf(c_91260,plain,
( strictorderP(app(sk7,app(sk4,sk4)))
| ( app(app(skaf61(app(sk7,app(sk4,sk4))),cons(skaf59(app(sk7,app(sk4,sk4))),skaf62(app(sk7,app(sk4,sk4))))),cons(skaf60(app(sk7,app(sk4,sk4))),skaf63(app(sk7,app(sk4,sk4))))) = app(sk7,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_89541,c_412]) ).
tcf(c_91261,plain,
( totalorderedP(app(sk7,app(sk4,sk4)))
| ( app(app(skaf66(app(sk7,app(sk4,sk4))),cons(skaf64(app(sk7,app(sk4,sk4))),skaf67(app(sk7,app(sk4,sk4))))),cons(skaf65(app(sk7,app(sk4,sk4))),skaf68(app(sk7,app(sk4,sk4))))) = app(sk7,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_89541,c_411]) ).
tcf(c_91262,plain,
( strictorderedP(app(sk7,app(sk4,sk4)))
| ( app(app(skaf71(app(sk7,app(sk4,sk4))),cons(skaf69(app(sk7,app(sk4,sk4))),skaf72(app(sk7,app(sk4,sk4))))),cons(skaf70(app(sk7,app(sk4,sk4))),skaf73(app(sk7,app(sk4,sk4))))) = app(sk7,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_89541,c_410]) ).
tcf(c_91263,plain,
( duplicatefreeP(app(sk7,app(sk4,sk4)))
| ( app(app(skaf75(app(sk7,app(sk4,sk4))),cons(skaf74(app(sk7,app(sk4,sk4))),skaf76(app(sk7,app(sk4,sk4))))),cons(skaf74(app(sk7,app(sk4,sk4))),skaf77(app(sk7,app(sk4,sk4))))) = app(sk7,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_89541,c_409]) ).
tcf(c_91264,plain,
( equalelemsP(app(sk7,app(sk4,sk4)))
| ( app(skaf80(app(sk7,app(sk4,sk4))),cons(skaf78(app(sk7,app(sk4,sk4))),cons(skaf79(app(sk7,app(sk4,sk4))),skaf81(app(sk7,app(sk4,sk4)))))) = app(sk7,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_89541,c_389]) ).
tcf(c_91265,plain,
hd(cons(sk6,app(sk7,app(sk4,sk4)))) = sk6,
inference(superposition,[status(thm)],[c_89541,c_10017]) ).
tcf(c_91266,plain,
( ( app(sk7,app(sk4,sk4)) = nil )
| ( cons(skaf83(app(sk7,app(sk4,sk4))),skaf82(app(sk7,app(sk4,sk4)))) = app(sk7,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_89541,c_356]) ).
tcf(c_91267,plain,
( ( app(sk7,app(sk4,sk4)) = nil )
| ( cons(hd(app(sk7,app(sk4,sk4))),tl(app(sk7,app(sk4,sk4)))) = app(sk7,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_89541,c_351]) ).
tcf(c_91268,plain,
hd(cons(sk5,app(sk7,app(sk4,sk4)))) = sk5,
inference(superposition,[status(thm)],[c_89541,c_10016]) ).
tcf(c_91269,plain,
tl(cons(sk6,app(sk7,app(sk4,sk4)))) = app(sk7,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_89541,c_9887]) ).
tcf(c_91270,plain,
tl(cons(sk5,app(sk7,app(sk4,sk4)))) = app(sk7,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_89541,c_9886]) ).
tcf(c_91271,plain,
( duplicatefreeP(app(sk7,app(sk4,sk4)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_89541,c_6471]) ).
tcf(c_91272,plain,
app(nil,app(sk7,app(sk4,sk4))) = app(sk7,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_89541,c_321]) ).
tcf(c_91273,plain,
app(app(sk7,app(sk4,sk4)),nil) = app(sk7,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_89541,c_320]) ).
tcf(c_91536,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_89534,c_400]) ).
tcf(c_91537,plain,
( ( app(skaf46(app(sk7,app(sk4,sk8)),sk8),sk8) = app(sk7,app(sk4,sk8)) )
| ~ ssList(sk8)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_89534,c_378]) ).
tcf(c_91538,plain,
( ( app(sk7,app(sk4,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ rearsegP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_89534,c_375]) ).
tcf(c_91539,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91536,c_6482,c_89535]) ).
tcf(c_91543,plain,
( ( app(sk7,app(sk4,sk8)) = sk8 )
| ~ rearsegP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91538,c_6482,c_89535]) ).
tcf(c_91546,plain,
app(skaf46(app(sk7,app(sk4,sk8)),sk8),sk8) = app(sk7,app(sk4,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_91537,c_6482,c_89535]) ).
tcf(c_91567,plain,
! [X0: $i] :
( frontsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_89345,c_401]) ).
tcf(c_91568,plain,
( ( app(sk4,skaf45(app(sk4,app(sk4,sk8)),sk4)) = app(sk4,app(sk4,sk8)) )
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_89345,c_379]) ).
tcf(c_91569,plain,
( ( app(sk4,app(sk4,sk8)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_89345,c_376]) ).
tcf(c_91570,plain,
! [X0: $i] :
( frontsegP(X0,sk4)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91567,c_6486,c_79220]) ).
tcf(c_91574,plain,
( ( app(sk4,app(sk4,sk8)) = sk4 )
| ~ frontsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91569,c_6486,c_79220]) ).
tcf(c_91577,plain,
app(sk4,skaf45(app(sk4,app(sk4,sk8)),sk4)) = app(sk4,app(sk4,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_91568,c_6486,c_79220]) ).
tcf(c_91603,plain,
! [X0: $i] :
( frontsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_89346,c_401]) ).
tcf(c_91604,plain,
( ( app(sk4,skaf45(app(sk4,app(sk4,sk7)),sk4)) = app(sk4,app(sk4,sk7)) )
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_89346,c_379]) ).
tcf(c_91605,plain,
( ( app(sk4,app(sk4,sk7)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_89346,c_376]) ).
tcf(c_91606,plain,
! [X0: $i] :
( frontsegP(X0,sk4)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91603,c_6486,c_79223]) ).
tcf(c_91610,plain,
( ( app(sk4,app(sk4,sk7)) = sk4 )
| ~ frontsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91605,c_6486,c_79223]) ).
tcf(c_91613,plain,
app(sk4,skaf45(app(sk4,app(sk4,sk7)),sk4)) = app(sk4,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_91604,c_6486,c_79223]) ).
tcf(c_91631,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk7,X1)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(X0,app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_89482,c_401]) ).
tcf(c_91632,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk7,sk4),X0)) = app(sk7,sk4) )
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_89482,c_379]) ).
tcf(c_91633,plain,
! [X0: $i] :
( ( app(sk7,sk4) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(X0,app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_89482,c_376]) ).
tcf(c_91646,plain,
( frontsegP(app(sk7,sk4),sk4)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk7,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_89482,c_89322]) ).
tcf(c_91647,plain,
( frontsegP(app(sk7,sk4),sk4)
| ~ frontsegP(sk7,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91646,c_89458,c_79152]) ).
tcf(c_91650,plain,
! [X0: $i] :
( ( app(sk7,sk4) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ frontsegP(X0,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91633,c_89458]) ).
tcf(c_91655,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk7,sk4),X0)) = app(sk7,sk4) )
| ~ ssList(X0)
| ~ frontsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91632,c_89458]) ).
tcf(c_91659,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk7,X1)
| ~ frontsegP(X0,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91631,c_89458]) ).
tcf(c_91683,plain,
! [X0: $i] :
( ( app(skaf42(app(sk7,sk4),X0),cons(X0,skaf43(X0,app(sk7,sk4)))) = app(sk7,sk4) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_89486,c_416]) ).
tcf(c_91685,plain,
! [X0: $i] :
( ( app(skaf42(app(sk7,sk4),X0),cons(X0,skaf43(X0,app(sk7,sk4)))) = app(sk7,sk4) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91683,c_89458]) ).
tcf(c_91697,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_383,c_91539]) ).
tcf(c_91698,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk7,app(sk4,sk8))),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(X0,app(sk7,app(sk4,sk8)))) ),
inference(superposition,[status(thm)],[c_807,c_91539]) ).
tcf(c_91699,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_83159,c_91539]) ).
tcf(c_91700,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_82342,c_91539]) ).
tcf(c_91702,plain,
( rearsegP(cons(sk5,sk4),sk8)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_66416,c_91539]) ).
tcf(c_91703,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68240,c_91539]) ).
tcf(c_91704,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68547,c_91539]) ).
tcf(c_91705,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68977,c_91539]) ).
tcf(c_91706,plain,
( rearsegP(cons(sk5,sk4),sk8)
| ~ rearsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91702,c_66402,c_89535]) ).
tcf(c_91709,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk7,app(sk4,sk8))),sk8)
| ~ ssList(X0)
| ~ ssList(app(X0,app(sk7,app(sk4,sk8)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91698,c_89535]) ).
tcf(c_91713,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ rearsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91705,c_89535,c_68959]) ).
tcf(c_91716,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ rearsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91704,c_89535,c_68529]) ).
tcf(c_91719,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91703,c_89535,c_68222]) ).
tcf(c_91722,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91700,c_89535,c_79223]) ).
tcf(c_91725,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91699,c_89535,c_79226]) ).
tcf(c_91728,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91697,c_89535]) ).
tcf(c_91763,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_384,c_91570]) ).
tcf(c_91764,plain,
! [X0: $i] :
( frontsegP(app(app(sk4,app(sk4,sk8)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(app(app(sk4,app(sk4,sk8)),X0)) ),
inference(superposition,[status(thm)],[c_808,c_91570]) ).
tcf(c_91765,plain,
( frontsegP(cons(sk6,sk4),sk4)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_51206,c_91570]) ).
tcf(c_91766,plain,
( frontsegP(cons(sk6,sk7),sk4)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_51316,c_91570]) ).
tcf(c_91767,plain,
( frontsegP(cons(sk6,sk8),sk4)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_51801,c_91570]) ).
tcf(c_91769,plain,
( frontsegP(app(sk7,sk4),sk4)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_89482,c_91570]) ).
tcf(c_91770,plain,
( frontsegP(cons(sk5,sk4),sk4)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(iPr_def_12,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_66408,c_91570]) ).
tcf(c_91771,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk4)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68249,c_91570]) ).
tcf(c_91772,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk4)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68556,c_91570]) ).
tcf(c_91773,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk4)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68986,c_91570]) ).
tcf(c_91774,plain,
( frontsegP(cons(sk5,sk4),sk4)
| ~ frontsegP(iPr_def_12,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91770,c_66402,c_79220]) ).
tcf(c_91777,plain,
( frontsegP(app(sk7,sk4),sk4)
| ~ frontsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91769,c_89458,c_79220]) ).
tcf(c_91780,plain,
( frontsegP(cons(sk6,sk8),sk4)
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91767,c_28938,c_79220]) ).
tcf(c_91783,plain,
( frontsegP(cons(sk6,sk7),sk4)
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91766,c_28940,c_79220]) ).
tcf(c_91786,plain,
( frontsegP(cons(sk6,sk4),sk4)
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91765,c_28942,c_79220]) ).
tcf(c_91789,plain,
! [X0: $i] :
( frontsegP(app(app(sk4,app(sk4,sk8)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(app(sk4,app(sk4,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91764,c_79220]) ).
tcf(c_91793,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk4)
| ~ frontsegP(cons(sk6,sk8),app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91773,c_79220,c_68959]) ).
tcf(c_91796,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk4)
| ~ frontsegP(cons(sk6,sk7),app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91772,c_79220,c_68529]) ).
tcf(c_91799,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk4)
| ~ frontsegP(cons(sk6,sk4),app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91771,c_79220,c_68222]) ).
tcf(c_91802,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91763,c_79220]) ).
tcf(c_91837,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_384,c_91606]) ).
tcf(c_91838,plain,
! [X0: $i] :
( frontsegP(app(app(sk4,app(sk4,sk7)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(app(app(sk4,app(sk4,sk7)),X0)) ),
inference(superposition,[status(thm)],[c_808,c_91606]) ).
tcf(c_91839,plain,
( frontsegP(cons(sk6,sk4),sk4)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_51206,c_91606]) ).
tcf(c_91840,plain,
( frontsegP(cons(sk6,sk7),sk4)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_51316,c_91606]) ).
tcf(c_91841,plain,
( frontsegP(cons(sk6,sk8),sk4)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_51801,c_91606]) ).
tcf(c_91843,plain,
( frontsegP(app(sk7,sk4),sk4)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(sk7,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_89482,c_91606]) ).
tcf(c_91844,plain,
( frontsegP(cons(sk5,sk4),sk4)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(iPr_def_12,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_66408,c_91606]) ).
tcf(c_91845,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk4)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68249,c_91606]) ).
tcf(c_91846,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk4)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68556,c_91606]) ).
tcf(c_91847,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk4)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68986,c_91606]) ).
tcf(c_91848,plain,
( frontsegP(cons(sk5,sk4),sk4)
| ~ frontsegP(iPr_def_12,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91844,c_66402,c_79223]) ).
tcf(c_91851,plain,
( frontsegP(app(sk7,sk4),sk4)
| ~ frontsegP(sk7,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91843,c_89458,c_79223]) ).
tcf(c_91854,plain,
( frontsegP(cons(sk6,sk8),sk4)
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91841,c_28938,c_79223]) ).
tcf(c_91857,plain,
( frontsegP(cons(sk6,sk7),sk4)
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91840,c_28940,c_79223]) ).
tcf(c_91860,plain,
( frontsegP(cons(sk6,sk4),sk4)
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91839,c_28942,c_79223]) ).
tcf(c_91863,plain,
! [X0: $i] :
( frontsegP(app(app(sk4,app(sk4,sk7)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(app(sk4,app(sk4,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91838,c_79223]) ).
tcf(c_91867,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk4)
| ~ frontsegP(cons(sk6,sk8),app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91847,c_79223,c_68959]) ).
tcf(c_91870,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk4)
| ~ frontsegP(cons(sk6,sk7),app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91846,c_79223,c_68529]) ).
tcf(c_91873,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk4)
| ~ frontsegP(cons(sk6,sk4),app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91845,c_79223,c_68222]) ).
tcf(c_91876,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91837,c_79223]) ).
tcf(c_91935,plain,
( rearsegP(app(sk7,sk4),nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_21506,c_89499]) ).
tcf(c_91937,plain,
rearsegP(app(sk7,sk4),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_91935,c_255]) ).
tcf(c_91948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf57(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf57(X1)))
| ~ ssList(tl(skaf57(X1)))
| ~ leq(X2,hd(skaf57(X1)))
| ~ leq(hd(skaf57(X1)),X2)
| ~ ssList(app(app(X0,skaf57(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf57(X1)),tl(skaf57(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10786,c_432]) ).
tcf(c_91949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf57(X1)))
| leq(hd(skaf57(X1)),X2)
| ( skaf57(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf57(X1)))
| ~ ssList(tl(skaf57(X1)))
| ~ ssList(app(app(X0,skaf57(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf57(X1)),tl(skaf57(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10786,c_431]) ).
tcf(c_91950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf57(X1)))
| lt(hd(skaf57(X1)),X2)
| ( skaf57(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf57(X1)))
| ~ ssList(tl(skaf57(X1)))
| ~ ssList(app(app(X0,skaf57(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf57(X1)),tl(skaf57(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10786,c_430]) ).
tcf(c_91951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf57(X1)),X2)
| ( skaf57(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf57(X1)))
| ~ ssList(tl(skaf57(X1)))
| ~ ssList(app(app(X0,skaf57(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf57(X1)),tl(skaf57(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10786,c_429]) ).
tcf(c_91952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf57(X1)),X2)
| ( skaf57(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf57(X1)))
| ~ ssList(tl(skaf57(X1)))
| ~ ssList(app(app(X0,skaf57(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf57(X1)),tl(skaf57(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10786,c_428]) ).
tcf(c_91953,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf57(X1)))
| ~ ssList(tl(skaf57(X1)))
| ~ ssList(app(app(X0,skaf57(X1)),cons(hd(skaf57(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf57(X1)),tl(skaf57(X1)))),cons(hd(skaf57(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10786,c_426]) ).
tcf(c_91954,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf57(X1)),hd(skaf57(X1)))
| ( skaf57(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf57(X1)))
| ~ ssList(tl(skaf57(X1)))
| ~ ssList(app(X0,cons(hd(skaf57(X1)),tl(skaf57(X1))))) ),
inference(superposition,[status(thm)],[c_10786,c_422]) ).
tcf(c_91955,plain,
! [X0: $i] :
( memberP(skaf57(X0),hd(skaf57(X0)))
| ( skaf57(X0) = nil )
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_10786,c_385]) ).
tcf(c_91957,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( tl(skaf57(X0)) = nil )
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0)))
| ( skaf57(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10786,c_21847]) ).
tcf(c_91958,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( tl(skaf57(X0)) = nil )
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0)))
| ( skaf57(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10786,c_21842]) ).
tcf(c_91959,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( hd(skaf57(X0)) = sk5 )
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0)))
| ( skaf57(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10786,c_21750]) ).
tcf(c_91960,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( hd(skaf57(X0)) = sk6 )
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0)))
| ( skaf57(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10786,c_21745]) ).
tcf(c_91961,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( hd(skaf57(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf57(X0))
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_10786,c_21595]) ).
tcf(c_91962,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( hd(skaf57(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf57(X0))
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_10786,c_21590]) ).
tcf(c_91963,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( hd(skaf57(X0)) = sk5 )
| ~ frontsegP(skaf57(X0),iPr_def_12)
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_10786,c_21585]) ).
tcf(c_91964,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( hd(skaf57(X0)) = sk6 )
| ~ frontsegP(skaf57(X0),iPr_def_14)
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_10786,c_21580]) ).
tcf(c_91965,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf57(X0)))
| ( skaf57(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf57(X0))
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_10786,c_21202]) ).
tcf(c_91966,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf57(X0)))
| ( skaf57(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf57(X0))
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_10786,c_21197]) ).
tcf(c_91969,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X0) = nil )
| ( hd(skaf57(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0)))
| ~ frontsegP(skaf57(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10786,c_423]) ).
tcf(c_91970,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf57(X0)),X2)
| ( skaf57(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0)))
| ~ frontsegP(skaf57(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10786,c_421]) ).
tcf(c_91971,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf57(X0)),X1)
| ( skaf57(X0) = nil )
| ( hd(skaf57(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0)))
| ~ memberP(skaf57(X0),X1) ),
inference(superposition,[status(thm)],[c_10786,c_408]) ).
tcf(c_91972,plain,
! [X0: $i] :
( leq(hd(skaf57(X0)),hd(tl(skaf57(X0))))
| ( skaf57(X0) = nil )
| ( tl(skaf57(X0)) = nil )
| ~ totalorderedP(skaf57(X0))
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_10786,c_382]) ).
tcf(c_91973,plain,
! [X0: $i] :
( lt(hd(skaf57(X0)),hd(tl(skaf57(X0))))
| ( skaf57(X0) = nil )
| ( tl(skaf57(X0)) = nil )
| ~ strictorderedP(skaf57(X0))
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_10786,c_381]) ).
tcf(c_91974,plain,
! [X0: $i] :
( totalorderedP(tl(skaf57(X0)))
| ( skaf57(X0) = nil )
| ( tl(skaf57(X0)) = nil )
| ~ totalorderedP(skaf57(X0))
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_10786,c_372]) ).
tcf(c_91975,plain,
! [X0: $i] :
( strictorderedP(tl(skaf57(X0)))
| ( skaf57(X0) = nil )
| ( tl(skaf57(X0)) = nil )
| ~ strictorderedP(skaf57(X0))
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_10786,c_371]) ).
tcf(c_91976,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0)))
| ( tl(skaf57(X0)) != skaf57(X0) ) ),
inference(superposition,[status(thm)],[c_10786,c_346]) ).
tcf(c_91978,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf57(X1)),X0),skaf57(X1))
| ( skaf57(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf57(X1)))
| ~ ssList(tl(skaf57(X1)))
| ~ frontsegP(X0,tl(skaf57(X1))) ),
inference(superposition,[status(thm)],[c_10786,c_425]) ).
tcf(c_91979,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X2) = nil )
| ( hd(skaf57(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf57(X2)))
| ~ ssList(tl(skaf57(X2)))
| ~ ssList(app(X0,cons(X1,skaf57(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf57(X2)),tl(skaf57(X2)))))) ),
inference(superposition,[status(thm)],[c_10786,c_427]) ).
tcf(c_91980,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X2) = nil )
| ( tl(skaf57(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf57(X2)))
| ~ ssList(tl(skaf57(X2)))
| ( cons(X0,X1) != skaf57(X2) ) ),
inference(superposition,[status(thm)],[c_10786,c_418]) ).
tcf(c_91981,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X2) = nil )
| ( hd(skaf57(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf57(X2)))
| ~ ssList(tl(skaf57(X2)))
| ( cons(X0,X1) != skaf57(X2) ) ),
inference(superposition,[status(thm)],[c_10786,c_417]) ).
tcf(c_91982,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X2) = nil )
| ( hd(skaf57(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf57(X2)))
| ~ ssList(tl(skaf57(X2)))
| ~ frontsegP(cons(X0,X1),skaf57(X2)) ),
inference(superposition,[status(thm)],[c_10786,c_423]) ).
tcf(c_91983,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf57(X2)))
| ( skaf57(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf57(X2)))
| ~ ssList(tl(skaf57(X2)))
| ~ frontsegP(cons(X0,X1),skaf57(X2)) ),
inference(superposition,[status(thm)],[c_10786,c_421]) ).
tcf(c_91984,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf57(X0),cons(hd(skaf57(X0)),X1))
| ( skaf57(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0)))
| ~ frontsegP(tl(skaf57(X0)),X1) ),
inference(superposition,[status(thm)],[c_10786,c_425]) ).
tcf(c_91985,plain,
! [X0: $i,X1: $i] :
( memberP(skaf57(X0),X1)
| ( skaf57(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf57(X0)))
| ~ ssList(tl(skaf57(X0)))
| ~ memberP(tl(skaf57(X0)),X1) ),
inference(superposition,[status(thm)],[c_10786,c_386]) ).
tcf(c_91986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf57(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf57(X3)))
| ~ ssList(tl(skaf57(X3)))
| ~ leq(X1,hd(skaf57(X3)))
| ~ leq(hd(skaf57(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf57(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf57(X3)),tl(skaf57(X3))))) ),
inference(superposition,[status(thm)],[c_10786,c_432]) ).
tcf(c_91987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf57(X3)))
| leq(hd(skaf57(X3)),X1)
| ( skaf57(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf57(X3)))
| ~ ssList(tl(skaf57(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf57(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf57(X3)),tl(skaf57(X3))))) ),
inference(superposition,[status(thm)],[c_10786,c_431]) ).
tcf(c_91988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf57(X3)))
| lt(hd(skaf57(X3)),X1)
| ( skaf57(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf57(X3)))
| ~ ssList(tl(skaf57(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf57(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf57(X3)),tl(skaf57(X3))))) ),
inference(superposition,[status(thm)],[c_10786,c_430]) ).
tcf(c_91989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf57(X3)))
| ( skaf57(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf57(X3)))
| ~ ssList(tl(skaf57(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf57(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf57(X3)),tl(skaf57(X3))))) ),
inference(superposition,[status(thm)],[c_10786,c_429]) ).
tcf(c_91990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf57(X3)))
| ( skaf57(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf57(X3)))
| ~ ssList(tl(skaf57(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf57(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf57(X3)),tl(skaf57(X3))))) ),
inference(superposition,[status(thm)],[c_10786,c_428]) ).
tcf(c_91991,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf57(X1)))
| ~ ssList(tl(skaf57(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf57(X1)),X2)),skaf57(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf57(X1)),X2)),cons(hd(skaf57(X1)),tl(skaf57(X1))))) ),
inference(superposition,[status(thm)],[c_10786,c_426]) ).
tcf(c_92741,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_89537,c_400]) ).
tcf(c_92742,plain,
( ( app(skaf46(app(sk7,app(sk4,sk7)),sk7),sk7) = app(sk7,app(sk4,sk7)) )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_89537,c_378]) ).
tcf(c_92743,plain,
( ( app(sk7,app(sk4,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_89537,c_375]) ).
tcf(c_92744,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92741,c_6483,c_89538]) ).
tcf(c_92748,plain,
( ( app(sk7,app(sk4,sk7)) = sk7 )
| ~ rearsegP(sk7,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92743,c_6483,c_89538]) ).
tcf(c_92751,plain,
app(skaf46(app(sk7,app(sk4,sk7)),sk7),sk7) = app(sk7,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_92742,c_6483,c_89538]) ).
tcf(c_92759,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_89540,c_400]) ).
tcf(c_92760,plain,
( ( app(skaf46(app(sk7,app(sk4,sk4)),sk4),sk4) = app(sk7,app(sk4,sk4)) )
| ~ ssList(sk4)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_89540,c_378]) ).
tcf(c_92761,plain,
( ( app(sk7,app(sk4,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_89540,c_375]) ).
tcf(c_92762,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92759,c_6486,c_89541]) ).
tcf(c_92766,plain,
( ( app(sk7,app(sk4,sk4)) = sk4 )
| ~ rearsegP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92761,c_6486,c_89541]) ).
tcf(c_92769,plain,
app(skaf46(app(sk7,app(sk4,sk4)),sk4),sk4) = app(sk7,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_92760,c_6486,c_89541]) ).
tcf(c_92786,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ rearsegP(X0,app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_91937,c_400]) ).
tcf(c_92787,plain,
( ( app(skaf46(app(sk7,sk4),nil),nil) = app(sk7,sk4) )
| ~ ssList(nil)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_91937,c_378]) ).
tcf(c_92788,plain,
( ( app(sk7,sk4) = nil )
| ~ ssList(nil)
| ~ ssList(app(sk7,sk4))
| ~ rearsegP(nil,app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_91937,c_375]) ).
tcf(c_92789,plain,
( ( app(sk7,sk4) = nil )
| ~ rearsegP(nil,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92788,c_255,c_89458]) ).
tcf(c_92792,plain,
app(skaf46(app(sk7,sk4),nil),nil) = app(sk7,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_92787,c_255,c_89458]) ).
tcf(c_92797,plain,
! [X0: $i] :
( frontsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_89347,c_401]) ).
tcf(c_92798,plain,
( ( app(sk4,skaf45(app(sk4,app(sk4,sk4)),sk4)) = app(sk4,app(sk4,sk4)) )
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_89347,c_379]) ).
tcf(c_92799,plain,
( ( app(sk4,app(sk4,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(sk4,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_89347,c_376]) ).
tcf(c_92800,plain,
! [X0: $i] :
( frontsegP(X0,sk4)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92797,c_6486,c_79226]) ).
tcf(c_92804,plain,
( ( app(sk4,app(sk4,sk4)) = sk4 )
| ~ frontsegP(sk4,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92799,c_6486,c_79226]) ).
tcf(c_92807,plain,
app(sk4,skaf45(app(sk4,app(sk4,sk4)),sk4)) = app(sk4,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_92798,c_6486,c_79226]) ).
tcf(c_92818,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf75(X0))))
| ( cons(skac2,skaf75(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf75(X0)))
| ~ ssList(cons(skac2,skaf75(X0))) ),
inference(superposition,[status(thm)],[c_85665,c_407]) ).
tcf(c_92819,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf75(X0))))
| ( cons(skac2,skaf75(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf75(X0)))
| ~ ssList(cons(skac2,skaf75(X0))) ),
inference(superposition,[status(thm)],[c_85665,c_406]) ).
tcf(c_92842,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_383,c_92744]) ).
tcf(c_92843,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk7,app(sk4,sk7))),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(X0,app(sk7,app(sk4,sk7)))) ),
inference(superposition,[status(thm)],[c_807,c_92744]) ).
tcf(c_92844,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_83159,c_92744]) ).
tcf(c_92846,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_81233,c_92744]) ).
tcf(c_92847,plain,
( rearsegP(cons(sk5,sk4),sk7)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_66416,c_92744]) ).
tcf(c_92848,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68240,c_92744]) ).
tcf(c_92849,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68547,c_92744]) ).
tcf(c_92850,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68977,c_92744]) ).
tcf(c_92851,plain,
( rearsegP(cons(sk5,sk4),sk7)
| ~ rearsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92847,c_66402,c_89538]) ).
tcf(c_92854,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk7,app(sk4,sk7))),sk7)
| ~ ssList(X0)
| ~ ssList(app(X0,app(sk7,app(sk4,sk7)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92843,c_89538]) ).
tcf(c_92858,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ rearsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92850,c_89538,c_68959]) ).
tcf(c_92861,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ rearsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92849,c_89538,c_68529]) ).
tcf(c_92864,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92848,c_89538,c_68222]) ).
tcf(c_92867,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92846,c_89538,c_79220]) ).
tcf(c_92870,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92844,c_89538,c_79226]) ).
tcf(c_92873,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92842,c_89538]) ).
tcf(c_92923,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_383,c_92762]) ).
tcf(c_92924,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk7,app(sk4,sk4))),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(X0,app(sk7,app(sk4,sk4)))) ),
inference(superposition,[status(thm)],[c_807,c_92762]) ).
tcf(c_92926,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk4)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_82342,c_92762]) ).
tcf(c_92927,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk4)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_81233,c_92762]) ).
tcf(c_92932,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk7,app(sk4,sk4))),sk4)
| ~ ssList(X0)
| ~ ssList(app(X0,app(sk7,app(sk4,sk4)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92924,c_89541]) ).
tcf(c_92936,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92927,c_89541,c_79220]) ).
tcf(c_92939,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92926,c_89541,c_79223]) ).
tcf(c_92942,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92923,c_89541]) ).
tcf(c_92983,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_384,c_92800]) ).
tcf(c_92984,plain,
! [X0: $i] :
( frontsegP(app(app(sk4,app(sk4,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(app(app(sk4,app(sk4,sk4)),X0)) ),
inference(superposition,[status(thm)],[c_808,c_92800]) ).
tcf(c_92985,plain,
( frontsegP(cons(sk6,sk4),sk4)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_51206,c_92800]) ).
tcf(c_92986,plain,
( frontsegP(cons(sk6,sk7),sk4)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_51316,c_92800]) ).
tcf(c_92987,plain,
( frontsegP(cons(sk6,sk8),sk4)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_51801,c_92800]) ).
tcf(c_92989,plain,
( frontsegP(app(sk7,sk4),sk4)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_89482,c_92800]) ).
tcf(c_92990,plain,
( frontsegP(cons(sk5,sk4),sk4)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(iPr_def_12,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_66408,c_92800]) ).
tcf(c_92991,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk4)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68249,c_92800]) ).
tcf(c_92992,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk4)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68556,c_92800]) ).
tcf(c_92993,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk4)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68986,c_92800]) ).
tcf(c_92994,plain,
( frontsegP(cons(sk5,sk4),sk4)
| ~ frontsegP(iPr_def_12,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92990,c_66402,c_79226]) ).
tcf(c_92997,plain,
( frontsegP(app(sk7,sk4),sk4)
| ~ frontsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92989,c_89458,c_79226]) ).
tcf(c_93000,plain,
( frontsegP(cons(sk6,sk8),sk4)
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92987,c_28938,c_79226]) ).
tcf(c_93003,plain,
( frontsegP(cons(sk6,sk7),sk4)
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92986,c_28940,c_79226]) ).
tcf(c_93006,plain,
( frontsegP(cons(sk6,sk4),sk4)
| ~ frontsegP(iPr_def_14,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92985,c_28942,c_79226]) ).
tcf(c_93009,plain,
! [X0: $i] :
( frontsegP(app(app(sk4,app(sk4,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(app(sk4,app(sk4,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92984,c_79226]) ).
tcf(c_93013,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk4)
| ~ frontsegP(cons(sk6,sk8),app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92993,c_79226,c_68959]) ).
tcf(c_93016,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk4)
| ~ frontsegP(cons(sk6,sk7),app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92992,c_79226,c_68529]) ).
tcf(c_93019,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk4)
| ~ frontsegP(cons(sk6,sk4),app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92991,c_79226,c_68222]) ).
tcf(c_93022,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92983,c_79226]) ).
tcf(c_93127,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8))
| ~ ssList(app(app(skaf46(app(sk7,app(sk4,sk8)),sk8),sk8),X0)) ),
inference(superposition,[status(thm)],[c_91546,c_420]) ).
tcf(c_93128,plain,
! [X0: $i] :
( ( skaf46(app(sk7,app(sk4,sk8)),sk8) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8))
| ( app(sk7,app(sk4,sk8)) != app(X0,sk8) ) ),
inference(superposition,[status(thm)],[c_91546,c_398]) ).
tcf(c_93130,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf46(app(sk7,app(sk4,sk8)),sk8),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_91546,c_405]) ).
tcf(c_93131,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8))
| ( app(sk7,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_91546,c_366]) ).
tcf(c_93132,plain,
( ( skaf46(app(sk7,app(sk4,sk8)),sk8) = nil )
| ~ ssList(sk8)
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8))
| ( app(sk7,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_91546,c_365]) ).
tcf(c_93133,plain,
( frontsegP(app(sk7,app(sk4,sk8)),skaf46(app(sk7,app(sk4,sk8)),sk8))
| ~ ssList(sk8)
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_91546,c_808]) ).
tcf(c_93135,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_91546,c_388]) ).
tcf(c_93136,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_91546,c_383]) ).
tcf(c_93137,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8))
| ( app(skaf46(app(sk7,app(sk4,sk8)),sk8),X0) != app(sk7,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_91546,c_397]) ).
tcf(c_93138,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8))
| ~ memberP(skaf46(app(sk7,app(sk4,sk8)),sk8),X0) ),
inference(superposition,[status(thm)],[c_91546,c_387]) ).
tcf(c_93139,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8))
| ~ frontsegP(skaf46(app(sk7,app(sk4,sk8)),sk8),X0) ),
inference(superposition,[status(thm)],[c_91546,c_384]) ).
tcf(c_93140,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk8)),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_91546,c_419]) ).
tcf(c_93141,plain,
( ( skaf46(app(sk7,app(sk4,sk8)),sk8) = iPr_def_14 )
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8))
| ( app(sk7,app(sk4,sk8)) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_91546,c_51820]) ).
tcf(c_93142,plain,
( ( skaf46(app(sk7,app(sk4,sk8)),sk8) = nil )
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8))
| ( app(sk7,app(sk4,sk8)) != sk8 ) ),
inference(superposition,[status(thm)],[c_91546,c_17621]) ).
tcf(c_93143,plain,
frontsegP(app(sk7,app(sk4,sk8)),skaf46(app(sk7,app(sk4,sk8)),sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_93133,c_6482,c_297]) ).
tcf(c_93144,plain,
( ( sk8 = nil )
| ( app(sk7,app(sk4,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93131,c_6482,c_297]) ).
tcf(c_93147,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93136,c_6482,c_297]) ).
tcf(c_93151,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93135,c_6482,c_297]) ).
tcf(c_93155,plain,
( ( skaf46(app(sk7,app(sk4,sk8)),sk8) = nil )
| ( app(sk7,app(sk4,sk8)) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93142,c_297]) ).
tcf(c_93158,plain,
( ( skaf46(app(sk7,app(sk4,sk8)),sk8) = iPr_def_14 )
| ( app(sk7,app(sk4,sk8)) != cons(sk6,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93141,c_297]) ).
tcf(c_93161,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk8)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93140,c_6482,c_297]) ).
tcf(c_93166,plain,
( ( skaf46(app(sk7,app(sk4,sk8)),sk8) = nil )
| ( app(sk7,app(sk4,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93132,c_6482,c_297]) ).
tcf(c_93169,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(app(sk7,app(sk4,sk8)),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93139,c_6482,c_297]) ).
tcf(c_93173,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(app(sk7,app(sk4,sk8)),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93138,c_6482,c_297]) ).
tcf(c_93177,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf46(app(sk7,app(sk4,sk8)),sk8),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk7,app(sk4,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93130,c_6482,c_297]) ).
tcf(c_93182,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ( app(skaf46(app(sk7,app(sk4,sk8)),sk8),X0) != app(sk7,app(sk4,sk8)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93137,c_6482,c_297]) ).
tcf(c_93186,plain,
! [X0: $i] :
( ( skaf46(app(sk7,app(sk4,sk8)),sk8) = X0 )
| ~ ssList(X0)
| ( app(sk7,app(sk4,sk8)) != app(X0,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93128,c_6482,c_297]) ).
tcf(c_93190,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8))
| ~ ssList(app(app(sk7,app(sk4,sk8)),X0)) ),
inference(light_normalisation,[status(thm)],[c_93127,c_91546]) ).
tcf(c_93191,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk8)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(app(sk7,app(sk4,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93190,c_6482,c_297]) ).
tcf(c_93255,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk7,app(sk4,sk8)),sk8))
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk8)))
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_93143,c_401]) ).
tcf(c_93256,plain,
( ( app(skaf46(app(sk7,app(sk4,sk8)),sk8),skaf45(app(sk7,app(sk4,sk8)),skaf46(app(sk7,app(sk4,sk8)),sk8))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_93143,c_379]) ).
tcf(c_93257,plain,
( ( skaf46(app(sk7,app(sk4,sk8)),sk8) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(skaf46(app(sk7,app(sk4,sk8)),sk8))
| ~ frontsegP(skaf46(app(sk7,app(sk4,sk8)),sk8),app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_93143,c_376]) ).
tcf(c_93258,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk7,app(sk4,sk8)),sk8))
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93255,c_89535,c_297]) ).
tcf(c_93262,plain,
( ( skaf46(app(sk7,app(sk4,sk8)),sk8) = app(sk7,app(sk4,sk8)) )
| ~ frontsegP(skaf46(app(sk7,app(sk4,sk8)),sk8),app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93257,c_89535,c_297]) ).
tcf(c_93265,plain,
app(skaf46(app(sk7,app(sk4,sk8)),sk8),skaf45(app(sk7,app(sk4,sk8)),skaf46(app(sk7,app(sk4,sk8)),sk8))) = app(sk7,app(sk4,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_93256,c_89535,c_297]) ).
tcf(c_93277,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk8,X1)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_93147,c_400]) ).
tcf(c_93278,plain,
! [X0: $i] :
( ( app(skaf46(app(sk7,app(sk4,sk8)),X0),X0) = app(sk7,app(sk4,sk8)) )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_93147,c_378]) ).
tcf(c_93279,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk8)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_93147,c_375]) ).
tcf(c_93283,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(sk8,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_93147,c_81078]) ).
tcf(c_93284,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(sk8,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_93147,c_81066]) ).
tcf(c_93286,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_93147,c_92762]) ).
tcf(c_93287,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_93147,c_92744]) ).
tcf(c_93289,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk8,cons(sk5,sk4))
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_93147,c_66649]) ).
tcf(c_93290,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_93147,c_68485]) ).
tcf(c_93291,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_93147,c_68796]) ).
tcf(c_93292,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(sk8,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_93147,c_69620]) ).
tcf(c_93293,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93289,c_66402,c_89535]) ).
tcf(c_93296,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk8,X1)
| ~ rearsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93277,c_89535]) ).
tcf(c_93302,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93292,c_89535,c_68959]) ).
tcf(c_93305,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93291,c_89535,c_68529]) ).
tcf(c_93308,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93290,c_89535,c_68222]) ).
tcf(c_93311,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93287,c_89535,c_89538]) ).
tcf(c_93314,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93286,c_89535,c_89541]) ).
tcf(c_93317,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93284,c_89535,c_79223]) ).
tcf(c_93320,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93283,c_89535,c_79226]) ).
tcf(c_93323,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk8)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ rearsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93279,c_89535]) ).
tcf(c_93328,plain,
! [X0: $i] :
( ( app(skaf46(app(sk7,app(sk4,sk8)),X0),X0) = app(sk7,app(sk4,sk8)) )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93278,c_89535]) ).
tcf(c_93338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf56(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf56(X1)))
| ~ ssList(tl(skaf56(X1)))
| ~ leq(X2,hd(skaf56(X1)))
| ~ leq(hd(skaf56(X1)),X2)
| ~ ssList(app(app(X0,skaf56(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf56(X1)),tl(skaf56(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10787,c_432]) ).
tcf(c_93339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf56(X1)))
| leq(hd(skaf56(X1)),X2)
| ( skaf56(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf56(X1)))
| ~ ssList(tl(skaf56(X1)))
| ~ ssList(app(app(X0,skaf56(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf56(X1)),tl(skaf56(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10787,c_431]) ).
tcf(c_93340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf56(X1)))
| lt(hd(skaf56(X1)),X2)
| ( skaf56(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf56(X1)))
| ~ ssList(tl(skaf56(X1)))
| ~ ssList(app(app(X0,skaf56(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf56(X1)),tl(skaf56(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10787,c_430]) ).
tcf(c_93341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf56(X1)),X2)
| ( skaf56(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf56(X1)))
| ~ ssList(tl(skaf56(X1)))
| ~ ssList(app(app(X0,skaf56(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf56(X1)),tl(skaf56(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10787,c_429]) ).
tcf(c_93342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf56(X1)),X2)
| ( skaf56(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf56(X1)))
| ~ ssList(tl(skaf56(X1)))
| ~ ssList(app(app(X0,skaf56(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf56(X1)),tl(skaf56(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10787,c_428]) ).
tcf(c_93343,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf56(X1)))
| ~ ssList(tl(skaf56(X1)))
| ~ ssList(app(app(X0,skaf56(X1)),cons(hd(skaf56(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf56(X1)),tl(skaf56(X1)))),cons(hd(skaf56(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10787,c_426]) ).
tcf(c_93344,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf56(X1)),hd(skaf56(X1)))
| ( skaf56(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf56(X1)))
| ~ ssList(tl(skaf56(X1)))
| ~ ssList(app(X0,cons(hd(skaf56(X1)),tl(skaf56(X1))))) ),
inference(superposition,[status(thm)],[c_10787,c_422]) ).
tcf(c_93345,plain,
! [X0: $i] :
( memberP(skaf56(X0),hd(skaf56(X0)))
| ( skaf56(X0) = nil )
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_10787,c_385]) ).
tcf(c_93347,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( tl(skaf56(X0)) = nil )
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0)))
| ( skaf56(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10787,c_21847]) ).
tcf(c_93348,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( tl(skaf56(X0)) = nil )
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0)))
| ( skaf56(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10787,c_21842]) ).
tcf(c_93349,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( hd(skaf56(X0)) = sk5 )
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0)))
| ( skaf56(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10787,c_21750]) ).
tcf(c_93350,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( hd(skaf56(X0)) = sk6 )
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0)))
| ( skaf56(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10787,c_21745]) ).
tcf(c_93351,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( hd(skaf56(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf56(X0))
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_10787,c_21595]) ).
tcf(c_93352,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( hd(skaf56(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf56(X0))
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_10787,c_21590]) ).
tcf(c_93353,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( hd(skaf56(X0)) = sk5 )
| ~ frontsegP(skaf56(X0),iPr_def_12)
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_10787,c_21585]) ).
tcf(c_93354,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( hd(skaf56(X0)) = sk6 )
| ~ frontsegP(skaf56(X0),iPr_def_14)
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_10787,c_21580]) ).
tcf(c_93355,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf56(X0)))
| ( skaf56(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf56(X0))
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_10787,c_21202]) ).
tcf(c_93356,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf56(X0)))
| ( skaf56(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf56(X0))
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_10787,c_21197]) ).
tcf(c_93359,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X0) = nil )
| ( hd(skaf56(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0)))
| ~ frontsegP(skaf56(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10787,c_423]) ).
tcf(c_93360,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf56(X0)),X2)
| ( skaf56(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0)))
| ~ frontsegP(skaf56(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10787,c_421]) ).
tcf(c_93361,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf56(X0)),X1)
| ( skaf56(X0) = nil )
| ( hd(skaf56(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0)))
| ~ memberP(skaf56(X0),X1) ),
inference(superposition,[status(thm)],[c_10787,c_408]) ).
tcf(c_93362,plain,
! [X0: $i] :
( leq(hd(skaf56(X0)),hd(tl(skaf56(X0))))
| ( skaf56(X0) = nil )
| ( tl(skaf56(X0)) = nil )
| ~ totalorderedP(skaf56(X0))
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_10787,c_382]) ).
tcf(c_93363,plain,
! [X0: $i] :
( lt(hd(skaf56(X0)),hd(tl(skaf56(X0))))
| ( skaf56(X0) = nil )
| ( tl(skaf56(X0)) = nil )
| ~ strictorderedP(skaf56(X0))
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_10787,c_381]) ).
tcf(c_93364,plain,
! [X0: $i] :
( totalorderedP(tl(skaf56(X0)))
| ( skaf56(X0) = nil )
| ( tl(skaf56(X0)) = nil )
| ~ totalorderedP(skaf56(X0))
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_10787,c_372]) ).
tcf(c_93365,plain,
! [X0: $i] :
( strictorderedP(tl(skaf56(X0)))
| ( skaf56(X0) = nil )
| ( tl(skaf56(X0)) = nil )
| ~ strictorderedP(skaf56(X0))
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_10787,c_371]) ).
tcf(c_93366,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0)))
| ( tl(skaf56(X0)) != skaf56(X0) ) ),
inference(superposition,[status(thm)],[c_10787,c_346]) ).
tcf(c_93368,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf56(X1)),X0),skaf56(X1))
| ( skaf56(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf56(X1)))
| ~ ssList(tl(skaf56(X1)))
| ~ frontsegP(X0,tl(skaf56(X1))) ),
inference(superposition,[status(thm)],[c_10787,c_425]) ).
tcf(c_93369,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X2) = nil )
| ( hd(skaf56(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf56(X2)))
| ~ ssList(tl(skaf56(X2)))
| ~ ssList(app(X0,cons(X1,skaf56(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf56(X2)),tl(skaf56(X2)))))) ),
inference(superposition,[status(thm)],[c_10787,c_427]) ).
tcf(c_93370,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X2) = nil )
| ( tl(skaf56(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf56(X2)))
| ~ ssList(tl(skaf56(X2)))
| ( cons(X0,X1) != skaf56(X2) ) ),
inference(superposition,[status(thm)],[c_10787,c_418]) ).
tcf(c_93371,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X2) = nil )
| ( hd(skaf56(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf56(X2)))
| ~ ssList(tl(skaf56(X2)))
| ( cons(X0,X1) != skaf56(X2) ) ),
inference(superposition,[status(thm)],[c_10787,c_417]) ).
tcf(c_93372,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X2) = nil )
| ( hd(skaf56(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf56(X2)))
| ~ ssList(tl(skaf56(X2)))
| ~ frontsegP(cons(X0,X1),skaf56(X2)) ),
inference(superposition,[status(thm)],[c_10787,c_423]) ).
tcf(c_93373,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf56(X2)))
| ( skaf56(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf56(X2)))
| ~ ssList(tl(skaf56(X2)))
| ~ frontsegP(cons(X0,X1),skaf56(X2)) ),
inference(superposition,[status(thm)],[c_10787,c_421]) ).
tcf(c_93374,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf56(X0),cons(hd(skaf56(X0)),X1))
| ( skaf56(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0)))
| ~ frontsegP(tl(skaf56(X0)),X1) ),
inference(superposition,[status(thm)],[c_10787,c_425]) ).
tcf(c_93375,plain,
! [X0: $i,X1: $i] :
( memberP(skaf56(X0),X1)
| ( skaf56(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf56(X0)))
| ~ ssList(tl(skaf56(X0)))
| ~ memberP(tl(skaf56(X0)),X1) ),
inference(superposition,[status(thm)],[c_10787,c_386]) ).
tcf(c_93376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf56(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf56(X3)))
| ~ ssList(tl(skaf56(X3)))
| ~ leq(X1,hd(skaf56(X3)))
| ~ leq(hd(skaf56(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf56(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf56(X3)),tl(skaf56(X3))))) ),
inference(superposition,[status(thm)],[c_10787,c_432]) ).
tcf(c_93377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf56(X3)))
| leq(hd(skaf56(X3)),X1)
| ( skaf56(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf56(X3)))
| ~ ssList(tl(skaf56(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf56(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf56(X3)),tl(skaf56(X3))))) ),
inference(superposition,[status(thm)],[c_10787,c_431]) ).
tcf(c_93378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf56(X3)))
| lt(hd(skaf56(X3)),X1)
| ( skaf56(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf56(X3)))
| ~ ssList(tl(skaf56(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf56(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf56(X3)),tl(skaf56(X3))))) ),
inference(superposition,[status(thm)],[c_10787,c_430]) ).
tcf(c_93379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf56(X3)))
| ( skaf56(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf56(X3)))
| ~ ssList(tl(skaf56(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf56(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf56(X3)),tl(skaf56(X3))))) ),
inference(superposition,[status(thm)],[c_10787,c_429]) ).
tcf(c_93380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf56(X3)))
| ( skaf56(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf56(X3)))
| ~ ssList(tl(skaf56(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf56(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf56(X3)),tl(skaf56(X3))))) ),
inference(superposition,[status(thm)],[c_10787,c_428]) ).
tcf(c_93381,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf56(X1)))
| ~ ssList(tl(skaf56(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf56(X1)),X2)),skaf56(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf56(X1)),X2)),cons(hd(skaf56(X1)),tl(skaf56(X1))))) ),
inference(superposition,[status(thm)],[c_10787,c_426]) ).
tcf(c_93811,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf73(X0))))
| ( cons(skac2,skaf73(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf73(X0)))
| ~ ssList(cons(skac2,skaf73(X0))) ),
inference(superposition,[status(thm)],[c_85666,c_407]) ).
tcf(c_93812,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf73(X0))))
| ( cons(skac2,skaf73(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf73(X0)))
| ~ ssList(cons(skac2,skaf73(X0))) ),
inference(superposition,[status(thm)],[c_85666,c_406]) ).
tcf(c_93828,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf72(X0))))
| ( cons(skac2,skaf72(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf72(X0)))
| ~ ssList(cons(skac2,skaf72(X0))) ),
inference(superposition,[status(thm)],[c_85667,c_407]) ).
tcf(c_93829,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf72(X0))))
| ( cons(skac2,skaf72(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf72(X0)))
| ~ ssList(cons(skac2,skaf72(X0))) ),
inference(superposition,[status(thm)],[c_85667,c_406]) ).
tcf(c_93845,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf71(X0))))
| ( cons(skac2,skaf71(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf71(X0)))
| ~ ssList(cons(skac2,skaf71(X0))) ),
inference(superposition,[status(thm)],[c_85668,c_407]) ).
tcf(c_93846,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf71(X0))))
| ( cons(skac2,skaf71(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf71(X0)))
| ~ ssList(cons(skac2,skaf71(X0))) ),
inference(superposition,[status(thm)],[c_85668,c_406]) ).
tcf(c_93862,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf68(X0))))
| ( cons(skac2,skaf68(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf68(X0)))
| ~ ssList(cons(skac2,skaf68(X0))) ),
inference(superposition,[status(thm)],[c_85669,c_407]) ).
tcf(c_93863,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf68(X0))))
| ( cons(skac2,skaf68(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf68(X0)))
| ~ ssList(cons(skac2,skaf68(X0))) ),
inference(superposition,[status(thm)],[c_85669,c_406]) ).
tcf(c_93879,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf67(X0))))
| ( cons(skac2,skaf67(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf67(X0)))
| ~ ssList(cons(skac2,skaf67(X0))) ),
inference(superposition,[status(thm)],[c_85670,c_407]) ).
tcf(c_93880,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf67(X0))))
| ( cons(skac2,skaf67(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf67(X0)))
| ~ ssList(cons(skac2,skaf67(X0))) ),
inference(superposition,[status(thm)],[c_85670,c_406]) ).
tcf(c_93940,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf66(X0))))
| ( cons(skac2,skaf66(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf66(X0)))
| ~ ssList(cons(skac2,skaf66(X0))) ),
inference(superposition,[status(thm)],[c_85671,c_407]) ).
tcf(c_93941,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf66(X0))))
| ( cons(skac2,skaf66(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf66(X0)))
| ~ ssList(cons(skac2,skaf66(X0))) ),
inference(superposition,[status(thm)],[c_85671,c_406]) ).
tcf(c_93957,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf63(X0))))
| ( cons(skac2,skaf63(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf63(X0)))
| ~ ssList(cons(skac2,skaf63(X0))) ),
inference(superposition,[status(thm)],[c_85672,c_407]) ).
tcf(c_93958,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf63(X0))))
| ( cons(skac2,skaf63(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf63(X0)))
| ~ ssList(cons(skac2,skaf63(X0))) ),
inference(superposition,[status(thm)],[c_85672,c_406]) ).
tcf(c_93974,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf62(X0))))
| ( cons(skac2,skaf62(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf62(X0)))
| ~ ssList(cons(skac2,skaf62(X0))) ),
inference(superposition,[status(thm)],[c_85673,c_407]) ).
tcf(c_93975,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf62(X0))))
| ( cons(skac2,skaf62(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf62(X0)))
| ~ ssList(cons(skac2,skaf62(X0))) ),
inference(superposition,[status(thm)],[c_85673,c_406]) ).
tcf(c_93997,plain,
! [X0: $i] :
( ( app(skaf42(app(sk7,app(sk4,sk8)),X0),cons(X0,skaf43(X0,app(sk7,app(sk4,sk8))))) = app(sk7,app(sk4,sk8)) )
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_93151,c_416]) ).
tcf(c_93998,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk4,sk8),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_93151,c_405]) ).
tcf(c_93999,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk4,sk8),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk4,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93998,c_6483]) ).
tcf(c_94005,plain,
! [X0: $i] :
( ( app(skaf42(app(sk7,app(sk4,sk8)),X0),cons(X0,skaf43(X0,app(sk7,app(sk4,sk8))))) = app(sk7,app(sk4,sk8)) )
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93997,c_89535]) ).
tcf(c_94017,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk8)),X0),skaf45(app(sk4,app(sk4,sk8)),sk4))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4))
| ~ ssList(app(app(sk4,skaf45(app(sk4,app(sk4,sk8)),sk4)),X0)) ),
inference(superposition,[status(thm)],[c_91577,c_420]) ).
tcf(c_94018,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4))
| ( app(X0,skaf45(app(sk4,app(sk4,sk8)),sk4)) != app(sk4,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_91577,c_398]) ).
tcf(c_94020,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf45(app(sk4,app(sk4,sk8)),sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4)) ),
inference(superposition,[status(thm)],[c_91577,c_405]) ).
tcf(c_94021,plain,
( ( skaf45(app(sk4,app(sk4,sk8)),sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4))
| ( app(sk4,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_91577,c_366]) ).
tcf(c_94022,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4))
| ( app(sk4,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_91577,c_365]) ).
tcf(c_94024,plain,
( rearsegP(app(sk4,app(sk4,sk8)),skaf45(app(sk4,app(sk4,sk8)),sk4))
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4)) ),
inference(superposition,[status(thm)],[c_91577,c_807]) ).
tcf(c_94025,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4))
| ~ memberP(skaf45(app(sk4,app(sk4,sk8)),sk4),X0) ),
inference(superposition,[status(thm)],[c_91577,c_388]) ).
tcf(c_94026,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4))
| ~ rearsegP(skaf45(app(sk4,app(sk4,sk8)),sk4),X0) ),
inference(superposition,[status(thm)],[c_91577,c_383]) ).
tcf(c_94027,plain,
! [X0: $i] :
( ( skaf45(app(sk4,app(sk4,sk8)),sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4))
| ( app(sk4,app(sk4,sk8)) != app(sk4,X0) ) ),
inference(superposition,[status(thm)],[c_91577,c_397]) ).
tcf(c_94028,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4)) ),
inference(superposition,[status(thm)],[c_91577,c_387]) ).
tcf(c_94029,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4)) ),
inference(superposition,[status(thm)],[c_91577,c_384]) ).
tcf(c_94030,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk8)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4))
| ~ segmentP(skaf45(app(sk4,app(sk4,sk8)),sk4),X0) ),
inference(superposition,[status(thm)],[c_91577,c_419]) ).
tcf(c_94031,plain,
( ( skaf45(app(sk4,app(sk4,sk8)),sk4) = nil )
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4))
| ( app(sk4,app(sk4,sk8)) != sk4 ) ),
inference(superposition,[status(thm)],[c_91577,c_17078]) ).
tcf(c_94033,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4)) ),
inference(superposition,[status(thm)],[c_91577,c_20315]) ).
tcf(c_94035,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94033,c_298]) ).
tcf(c_94039,plain,
rearsegP(app(sk4,app(sk4,sk8)),skaf45(app(sk4,app(sk4,sk8)),sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_94024,c_6486,c_298]) ).
tcf(c_94040,plain,
( ( sk4 = nil )
| ( app(sk4,app(sk4,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94022,c_6486,c_298]) ).
tcf(c_94043,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94029,c_6486,c_298]) ).
tcf(c_94047,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94028,c_6486,c_298]) ).
tcf(c_94051,plain,
( ( skaf45(app(sk4,app(sk4,sk8)),sk4) = nil )
| ( app(sk4,app(sk4,sk8)) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94031,c_298]) ).
tcf(c_94054,plain,
( ( skaf45(app(sk4,app(sk4,sk8)),sk4) = nil )
| ( app(sk4,app(sk4,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94021,c_6486,c_298]) ).
tcf(c_94057,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(app(sk4,app(sk4,sk8)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94026,c_6486,c_298]) ).
tcf(c_94061,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(app(sk4,app(sk4,sk8)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94025,c_6486,c_298]) ).
tcf(c_94065,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf45(app(sk4,app(sk4,sk8)),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk4,app(sk4,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94020,c_6486,c_298]) ).
tcf(c_94070,plain,
! [X0: $i] :
( ( skaf45(app(sk4,app(sk4,sk8)),sk4) = X0 )
| ~ ssList(X0)
| ( app(sk4,app(sk4,sk8)) != app(sk4,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94027,c_6486,c_298]) ).
tcf(c_94074,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(X0,skaf45(app(sk4,app(sk4,sk8)),sk4)) != app(sk4,app(sk4,sk8)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94018,c_6486,c_298]) ).
tcf(c_94078,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk8)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(app(sk4,app(sk4,sk8)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94030,c_6486,c_298]) ).
tcf(c_94083,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk8)),X0),skaf45(app(sk4,app(sk4,sk8)),sk4))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4))
| ~ ssList(app(app(sk4,app(sk4,sk8)),X0)) ),
inference(light_normalisation,[status(thm)],[c_94017,c_91577]) ).
tcf(c_94084,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk8)),X0),skaf45(app(sk4,app(sk4,sk8)),sk4))
| ~ ssList(X0)
| ~ ssList(app(app(sk4,app(sk4,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94083,c_6486,c_298]) ).
tcf(c_105693,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk4,app(sk4,sk8)),sk4))
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk8)))
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4)) ),
inference(superposition,[status(thm)],[c_94039,c_400]) ).
tcf(c_105694,plain,
( ( app(skaf46(app(sk4,app(sk4,sk8)),skaf45(app(sk4,app(sk4,sk8)),sk4)),skaf45(app(sk4,app(sk4,sk8)),sk4)) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4)) ),
inference(superposition,[status(thm)],[c_94039,c_378]) ).
tcf(c_105695,plain,
( ( skaf45(app(sk4,app(sk4,sk8)),sk4) = app(sk4,app(sk4,sk8)) )
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(skaf45(app(sk4,app(sk4,sk8)),sk4))
| ~ rearsegP(skaf45(app(sk4,app(sk4,sk8)),sk4),app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94039,c_375]) ).
tcf(c_105696,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk4,app(sk4,sk8)),sk4))
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105693,c_79220,c_298]) ).
tcf(c_105700,plain,
( ( skaf45(app(sk4,app(sk4,sk8)),sk4) = app(sk4,app(sk4,sk8)) )
| ~ rearsegP(skaf45(app(sk4,app(sk4,sk8)),sk4),app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105695,c_79220,c_298]) ).
tcf(c_105703,plain,
app(skaf46(app(sk4,app(sk4,sk8)),skaf45(app(sk4,app(sk4,sk8)),sk4)),skaf45(app(sk4,app(sk4,sk8)),sk4)) = app(sk4,app(sk4,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_105694,c_79220,c_298]) ).
tcf(c_105715,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk4,X1)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_401]) ).
tcf(c_105716,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk4,app(sk4,sk8)),X0)) = app(sk4,app(sk4,sk8)) )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_379]) ).
tcf(c_105717,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk8)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_376]) ).
tcf(c_105718,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_15594]) ).
tcf(c_105719,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_28779]) ).
tcf(c_105720,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_26336]) ).
tcf(c_105721,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk4,cons(sk6,sk4))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_75356]) ).
tcf(c_105722,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk4,cons(sk6,sk4))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_75336]) ).
tcf(c_105723,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk4,cons(sk6,sk4))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_75316]) ).
tcf(c_105724,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk4,cons(sk6,sk7))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_84010]) ).
tcf(c_105725,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk4,cons(sk6,sk7))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_83991]) ).
tcf(c_105726,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk4,cons(sk6,sk7))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_82977]) ).
tcf(c_105727,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk4,cons(sk6,sk8))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_84849]) ).
tcf(c_105728,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk4,cons(sk6,sk8))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_84050]) ).
tcf(c_105729,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk4,cons(sk6,sk8))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_84030]) ).
tcf(c_105734,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105720,c_9020,c_79220]) ).
tcf(c_105737,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(sk4,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105719,c_24748,c_79220]) ).
tcf(c_105740,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(sk4,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105718,c_9527,c_79220]) ).
tcf(c_105743,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk4,X1)
| ~ frontsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105715,c_79220]) ).
tcf(c_105749,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105729,c_28938,c_79220]) ).
tcf(c_105753,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105728,c_28938,c_79220]) ).
tcf(c_105757,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105727,c_28938,c_79220]) ).
tcf(c_105761,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105726,c_28940,c_79220]) ).
tcf(c_105765,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105725,c_28940,c_79220]) ).
tcf(c_105769,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105724,c_28940,c_79220]) ).
tcf(c_105773,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105723,c_28942,c_79220]) ).
tcf(c_105777,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105722,c_28942,c_79220]) ).
tcf(c_105781,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105721,c_28942,c_79220]) ).
tcf(c_105785,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk8)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(X0,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105717,c_79220]) ).
tcf(c_105790,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk4,app(sk4,sk8)),X0)) = app(sk4,app(sk4,sk8)) )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105716,c_79220]) ).
tcf(c_105845,plain,
! [X0: $i] :
( ( app(skaf42(app(sk4,app(sk4,sk8)),X0),cons(X0,skaf43(X0,app(sk4,app(sk4,sk8))))) = app(sk4,app(sk4,sk8)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94047,c_416]) ).
tcf(c_105847,plain,
! [X0: $i] :
( ( app(skaf42(app(sk4,app(sk4,sk8)),X0),cons(X0,skaf43(X0,app(sk4,app(sk4,sk8))))) = app(sk4,app(sk4,sk8)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105845,c_79220]) ).
tcf(c_105860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf53(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf53(X1)))
| ~ ssList(tl(skaf53(X1)))
| ~ leq(X2,hd(skaf53(X1)))
| ~ leq(hd(skaf53(X1)),X2)
| ~ ssList(app(app(X0,skaf53(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf53(X1)),tl(skaf53(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10788,c_432]) ).
tcf(c_105861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf53(X1)))
| leq(hd(skaf53(X1)),X2)
| ( skaf53(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf53(X1)))
| ~ ssList(tl(skaf53(X1)))
| ~ ssList(app(app(X0,skaf53(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf53(X1)),tl(skaf53(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10788,c_431]) ).
tcf(c_105862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf53(X1)))
| lt(hd(skaf53(X1)),X2)
| ( skaf53(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf53(X1)))
| ~ ssList(tl(skaf53(X1)))
| ~ ssList(app(app(X0,skaf53(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf53(X1)),tl(skaf53(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10788,c_430]) ).
tcf(c_105863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf53(X1)),X2)
| ( skaf53(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf53(X1)))
| ~ ssList(tl(skaf53(X1)))
| ~ ssList(app(app(X0,skaf53(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf53(X1)),tl(skaf53(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10788,c_429]) ).
tcf(c_105864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf53(X1)),X2)
| ( skaf53(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf53(X1)))
| ~ ssList(tl(skaf53(X1)))
| ~ ssList(app(app(X0,skaf53(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf53(X1)),tl(skaf53(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10788,c_428]) ).
tcf(c_105865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf53(X1)))
| ~ ssList(tl(skaf53(X1)))
| ~ ssList(app(app(X0,skaf53(X1)),cons(hd(skaf53(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf53(X1)),tl(skaf53(X1)))),cons(hd(skaf53(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10788,c_426]) ).
tcf(c_105866,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf53(X1)),hd(skaf53(X1)))
| ( skaf53(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf53(X1)))
| ~ ssList(tl(skaf53(X1)))
| ~ ssList(app(X0,cons(hd(skaf53(X1)),tl(skaf53(X1))))) ),
inference(superposition,[status(thm)],[c_10788,c_422]) ).
tcf(c_105867,plain,
! [X0: $i] :
( memberP(skaf53(X0),hd(skaf53(X0)))
| ( skaf53(X0) = nil )
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_10788,c_385]) ).
tcf(c_105869,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( tl(skaf53(X0)) = nil )
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0)))
| ( skaf53(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10788,c_21847]) ).
tcf(c_105870,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( tl(skaf53(X0)) = nil )
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0)))
| ( skaf53(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10788,c_21842]) ).
tcf(c_105871,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( hd(skaf53(X0)) = sk5 )
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0)))
| ( skaf53(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10788,c_21750]) ).
tcf(c_105872,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( hd(skaf53(X0)) = sk6 )
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0)))
| ( skaf53(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10788,c_21745]) ).
tcf(c_105873,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( hd(skaf53(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf53(X0))
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_10788,c_21595]) ).
tcf(c_105874,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( hd(skaf53(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf53(X0))
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_10788,c_21590]) ).
tcf(c_105875,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( hd(skaf53(X0)) = sk5 )
| ~ frontsegP(skaf53(X0),iPr_def_12)
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_10788,c_21585]) ).
tcf(c_105876,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( hd(skaf53(X0)) = sk6 )
| ~ frontsegP(skaf53(X0),iPr_def_14)
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_10788,c_21580]) ).
tcf(c_105877,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf53(X0)))
| ( skaf53(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf53(X0))
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_10788,c_21202]) ).
tcf(c_105878,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf53(X0)))
| ( skaf53(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf53(X0))
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_10788,c_21197]) ).
tcf(c_105881,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X0) = nil )
| ( hd(skaf53(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0)))
| ~ frontsegP(skaf53(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10788,c_423]) ).
tcf(c_105882,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf53(X0)),X2)
| ( skaf53(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0)))
| ~ frontsegP(skaf53(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10788,c_421]) ).
tcf(c_105883,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf53(X0)),X1)
| ( skaf53(X0) = nil )
| ( hd(skaf53(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0)))
| ~ memberP(skaf53(X0),X1) ),
inference(superposition,[status(thm)],[c_10788,c_408]) ).
tcf(c_105884,plain,
! [X0: $i] :
( leq(hd(skaf53(X0)),hd(tl(skaf53(X0))))
| ( skaf53(X0) = nil )
| ( tl(skaf53(X0)) = nil )
| ~ totalorderedP(skaf53(X0))
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_10788,c_382]) ).
tcf(c_105885,plain,
! [X0: $i] :
( lt(hd(skaf53(X0)),hd(tl(skaf53(X0))))
| ( skaf53(X0) = nil )
| ( tl(skaf53(X0)) = nil )
| ~ strictorderedP(skaf53(X0))
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_10788,c_381]) ).
tcf(c_105886,plain,
! [X0: $i] :
( totalorderedP(tl(skaf53(X0)))
| ( skaf53(X0) = nil )
| ( tl(skaf53(X0)) = nil )
| ~ totalorderedP(skaf53(X0))
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_10788,c_372]) ).
tcf(c_105887,plain,
! [X0: $i] :
( strictorderedP(tl(skaf53(X0)))
| ( skaf53(X0) = nil )
| ( tl(skaf53(X0)) = nil )
| ~ strictorderedP(skaf53(X0))
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_10788,c_371]) ).
tcf(c_105888,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0)))
| ( tl(skaf53(X0)) != skaf53(X0) ) ),
inference(superposition,[status(thm)],[c_10788,c_346]) ).
tcf(c_105890,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf53(X1)),X0),skaf53(X1))
| ( skaf53(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf53(X1)))
| ~ ssList(tl(skaf53(X1)))
| ~ frontsegP(X0,tl(skaf53(X1))) ),
inference(superposition,[status(thm)],[c_10788,c_425]) ).
tcf(c_105891,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X2) = nil )
| ( hd(skaf53(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf53(X2)))
| ~ ssList(tl(skaf53(X2)))
| ~ ssList(app(X0,cons(X1,skaf53(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf53(X2)),tl(skaf53(X2)))))) ),
inference(superposition,[status(thm)],[c_10788,c_427]) ).
tcf(c_105892,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X2) = nil )
| ( tl(skaf53(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf53(X2)))
| ~ ssList(tl(skaf53(X2)))
| ( cons(X0,X1) != skaf53(X2) ) ),
inference(superposition,[status(thm)],[c_10788,c_418]) ).
tcf(c_105893,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X2) = nil )
| ( hd(skaf53(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf53(X2)))
| ~ ssList(tl(skaf53(X2)))
| ( cons(X0,X1) != skaf53(X2) ) ),
inference(superposition,[status(thm)],[c_10788,c_417]) ).
tcf(c_105894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X2) = nil )
| ( hd(skaf53(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf53(X2)))
| ~ ssList(tl(skaf53(X2)))
| ~ frontsegP(cons(X0,X1),skaf53(X2)) ),
inference(superposition,[status(thm)],[c_10788,c_423]) ).
tcf(c_105895,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf53(X2)))
| ( skaf53(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf53(X2)))
| ~ ssList(tl(skaf53(X2)))
| ~ frontsegP(cons(X0,X1),skaf53(X2)) ),
inference(superposition,[status(thm)],[c_10788,c_421]) ).
tcf(c_105896,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf53(X0),cons(hd(skaf53(X0)),X1))
| ( skaf53(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0)))
| ~ frontsegP(tl(skaf53(X0)),X1) ),
inference(superposition,[status(thm)],[c_10788,c_425]) ).
tcf(c_105897,plain,
! [X0: $i,X1: $i] :
( memberP(skaf53(X0),X1)
| ( skaf53(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf53(X0)))
| ~ ssList(tl(skaf53(X0)))
| ~ memberP(tl(skaf53(X0)),X1) ),
inference(superposition,[status(thm)],[c_10788,c_386]) ).
tcf(c_105898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf53(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf53(X3)))
| ~ ssList(tl(skaf53(X3)))
| ~ leq(X1,hd(skaf53(X3)))
| ~ leq(hd(skaf53(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf53(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf53(X3)),tl(skaf53(X3))))) ),
inference(superposition,[status(thm)],[c_10788,c_432]) ).
tcf(c_105899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf53(X3)))
| leq(hd(skaf53(X3)),X1)
| ( skaf53(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf53(X3)))
| ~ ssList(tl(skaf53(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf53(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf53(X3)),tl(skaf53(X3))))) ),
inference(superposition,[status(thm)],[c_10788,c_431]) ).
tcf(c_105900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf53(X3)))
| lt(hd(skaf53(X3)),X1)
| ( skaf53(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf53(X3)))
| ~ ssList(tl(skaf53(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf53(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf53(X3)),tl(skaf53(X3))))) ),
inference(superposition,[status(thm)],[c_10788,c_430]) ).
tcf(c_105901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf53(X3)))
| ( skaf53(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf53(X3)))
| ~ ssList(tl(skaf53(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf53(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf53(X3)),tl(skaf53(X3))))) ),
inference(superposition,[status(thm)],[c_10788,c_429]) ).
tcf(c_105902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf53(X3)))
| ( skaf53(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf53(X3)))
| ~ ssList(tl(skaf53(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf53(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf53(X3)),tl(skaf53(X3))))) ),
inference(superposition,[status(thm)],[c_10788,c_428]) ).
tcf(c_105903,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf53(X1)))
| ~ ssList(tl(skaf53(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf53(X1)),X2)),skaf53(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf53(X1)),X2)),cons(hd(skaf53(X1)),tl(skaf53(X1))))) ),
inference(superposition,[status(thm)],[c_10788,c_426]) ).
tcf(c_106371,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf61(X0))))
| ( cons(skac2,skaf61(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf61(X0)))
| ~ ssList(cons(skac2,skaf61(X0))) ),
inference(superposition,[status(thm)],[c_85674,c_407]) ).
tcf(c_106372,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf61(X0))))
| ( cons(skac2,skaf61(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf61(X0)))
| ~ ssList(cons(skac2,skaf61(X0))) ),
inference(superposition,[status(thm)],[c_85674,c_406]) ).
tcf(c_106388,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf58(X0))))
| ( cons(skac2,skaf58(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf58(X0)))
| ~ ssList(cons(skac2,skaf58(X0))) ),
inference(superposition,[status(thm)],[c_85675,c_407]) ).
tcf(c_106389,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf58(X0))))
| ( cons(skac2,skaf58(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf58(X0)))
| ~ ssList(cons(skac2,skaf58(X0))) ),
inference(superposition,[status(thm)],[c_85675,c_406]) ).
tcf(c_106405,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf57(X0))))
| ( cons(skac2,skaf57(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf57(X0)))
| ~ ssList(cons(skac2,skaf57(X0))) ),
inference(superposition,[status(thm)],[c_85676,c_407]) ).
tcf(c_106406,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf57(X0))))
| ( cons(skac2,skaf57(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf57(X0)))
| ~ ssList(cons(skac2,skaf57(X0))) ),
inference(superposition,[status(thm)],[c_85676,c_406]) ).
tcf(c_106422,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf56(X0))))
| ( cons(skac2,skaf56(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf56(X0)))
| ~ ssList(cons(skac2,skaf56(X0))) ),
inference(superposition,[status(thm)],[c_85677,c_407]) ).
tcf(c_106423,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf56(X0))))
| ( cons(skac2,skaf56(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf56(X0)))
| ~ ssList(cons(skac2,skaf56(X0))) ),
inference(superposition,[status(thm)],[c_85677,c_406]) ).
tcf(c_106439,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf53(X0))))
| ( cons(skac2,skaf53(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf53(X0)))
| ~ ssList(cons(skac2,skaf53(X0))) ),
inference(superposition,[status(thm)],[c_85678,c_407]) ).
tcf(c_106440,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf53(X0))))
| ( cons(skac2,skaf53(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf53(X0)))
| ~ ssList(cons(skac2,skaf53(X0))) ),
inference(superposition,[status(thm)],[c_85678,c_406]) ).
tcf(c_106456,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf52(X0))))
| ( cons(skac2,skaf52(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf52(X0)))
| ~ ssList(cons(skac2,skaf52(X0))) ),
inference(superposition,[status(thm)],[c_85679,c_407]) ).
tcf(c_106457,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf52(X0))))
| ( cons(skac2,skaf52(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf52(X0)))
| ~ ssList(cons(skac2,skaf52(X0))) ),
inference(superposition,[status(thm)],[c_85679,c_406]) ).
tcf(c_106473,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,cons(skac2,skaf51(X0))))
| ( cons(skac2,skaf51(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,skac2)
| ~ strictorderedP(cons(skac2,skaf51(X0)))
| ~ ssList(cons(skac2,skaf51(X0))) ),
inference(superposition,[status(thm)],[c_85680,c_407]) ).
tcf(c_106474,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,cons(skac2,skaf51(X0))))
| ( cons(skac2,skaf51(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,skac2)
| ~ totalorderedP(cons(skac2,skaf51(X0)))
| ~ ssList(cons(skac2,skaf51(X0))) ),
inference(superposition,[status(thm)],[c_85680,c_406]) ).
tcf(c_106496,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk7)),X0),skaf45(app(sk4,app(sk4,sk7)),sk4))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4))
| ~ ssList(app(app(sk4,skaf45(app(sk4,app(sk4,sk7)),sk4)),X0)) ),
inference(superposition,[status(thm)],[c_91613,c_420]) ).
tcf(c_106497,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4))
| ( app(X0,skaf45(app(sk4,app(sk4,sk7)),sk4)) != app(sk4,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_91613,c_398]) ).
tcf(c_106499,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf45(app(sk4,app(sk4,sk7)),sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4)) ),
inference(superposition,[status(thm)],[c_91613,c_405]) ).
tcf(c_106500,plain,
( ( skaf45(app(sk4,app(sk4,sk7)),sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4))
| ( app(sk4,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_91613,c_366]) ).
tcf(c_106501,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4))
| ( app(sk4,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_91613,c_365]) ).
tcf(c_106503,plain,
( rearsegP(app(sk4,app(sk4,sk7)),skaf45(app(sk4,app(sk4,sk7)),sk4))
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4)) ),
inference(superposition,[status(thm)],[c_91613,c_807]) ).
tcf(c_106504,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4))
| ~ memberP(skaf45(app(sk4,app(sk4,sk7)),sk4),X0) ),
inference(superposition,[status(thm)],[c_91613,c_388]) ).
tcf(c_106505,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4))
| ~ rearsegP(skaf45(app(sk4,app(sk4,sk7)),sk4),X0) ),
inference(superposition,[status(thm)],[c_91613,c_383]) ).
tcf(c_106506,plain,
! [X0: $i] :
( ( skaf45(app(sk4,app(sk4,sk7)),sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4))
| ( app(sk4,app(sk4,sk7)) != app(sk4,X0) ) ),
inference(superposition,[status(thm)],[c_91613,c_397]) ).
tcf(c_106507,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4)) ),
inference(superposition,[status(thm)],[c_91613,c_387]) ).
tcf(c_106508,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4)) ),
inference(superposition,[status(thm)],[c_91613,c_384]) ).
tcf(c_106509,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk7)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4))
| ~ segmentP(skaf45(app(sk4,app(sk4,sk7)),sk4),X0) ),
inference(superposition,[status(thm)],[c_91613,c_419]) ).
tcf(c_106510,plain,
( ( skaf45(app(sk4,app(sk4,sk7)),sk4) = nil )
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4))
| ( app(sk4,app(sk4,sk7)) != sk4 ) ),
inference(superposition,[status(thm)],[c_91613,c_17078]) ).
tcf(c_106512,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4)) ),
inference(superposition,[status(thm)],[c_91613,c_20315]) ).
tcf(c_106514,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106512,c_298]) ).
tcf(c_106518,plain,
rearsegP(app(sk4,app(sk4,sk7)),skaf45(app(sk4,app(sk4,sk7)),sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_106503,c_6486,c_298]) ).
tcf(c_106519,plain,
( ( sk4 = nil )
| ( app(sk4,app(sk4,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106501,c_6486,c_298]) ).
tcf(c_106522,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106508,c_6486,c_298]) ).
tcf(c_106526,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106507,c_6486,c_298]) ).
tcf(c_106530,plain,
( ( skaf45(app(sk4,app(sk4,sk7)),sk4) = nil )
| ( app(sk4,app(sk4,sk7)) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106510,c_298]) ).
tcf(c_106533,plain,
( ( skaf45(app(sk4,app(sk4,sk7)),sk4) = nil )
| ( app(sk4,app(sk4,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106500,c_6486,c_298]) ).
tcf(c_106536,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(app(sk4,app(sk4,sk7)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106505,c_6486,c_298]) ).
tcf(c_106540,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(app(sk4,app(sk4,sk7)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106504,c_6486,c_298]) ).
tcf(c_106544,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf45(app(sk4,app(sk4,sk7)),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk4,app(sk4,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106499,c_6486,c_298]) ).
tcf(c_106549,plain,
! [X0: $i] :
( ( skaf45(app(sk4,app(sk4,sk7)),sk4) = X0 )
| ~ ssList(X0)
| ( app(sk4,app(sk4,sk7)) != app(sk4,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106506,c_6486,c_298]) ).
tcf(c_106553,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(X0,skaf45(app(sk4,app(sk4,sk7)),sk4)) != app(sk4,app(sk4,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106497,c_6486,c_298]) ).
tcf(c_106557,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(app(sk4,app(sk4,sk7)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106509,c_6486,c_298]) ).
tcf(c_106562,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk7)),X0),skaf45(app(sk4,app(sk4,sk7)),sk4))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4))
| ~ ssList(app(app(sk4,app(sk4,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_106496,c_91613]) ).
tcf(c_106563,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk7)),X0),skaf45(app(sk4,app(sk4,sk7)),sk4))
| ~ ssList(X0)
| ~ ssList(app(app(sk4,app(sk4,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106562,c_6486,c_298]) ).
tcf(c_106619,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk4,app(sk4,sk7)),sk4))
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk7)))
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4)) ),
inference(superposition,[status(thm)],[c_106518,c_400]) ).
tcf(c_106620,plain,
( ( app(skaf46(app(sk4,app(sk4,sk7)),skaf45(app(sk4,app(sk4,sk7)),sk4)),skaf45(app(sk4,app(sk4,sk7)),sk4)) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4)) ),
inference(superposition,[status(thm)],[c_106518,c_378]) ).
tcf(c_106621,plain,
( ( skaf45(app(sk4,app(sk4,sk7)),sk4) = app(sk4,app(sk4,sk7)) )
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(skaf45(app(sk4,app(sk4,sk7)),sk4))
| ~ rearsegP(skaf45(app(sk4,app(sk4,sk7)),sk4),app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106518,c_375]) ).
tcf(c_106622,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk4,app(sk4,sk7)),sk4))
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106619,c_79223,c_298]) ).
tcf(c_106626,plain,
( ( skaf45(app(sk4,app(sk4,sk7)),sk4) = app(sk4,app(sk4,sk7)) )
| ~ rearsegP(skaf45(app(sk4,app(sk4,sk7)),sk4),app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106621,c_79223,c_298]) ).
tcf(c_106629,plain,
app(skaf46(app(sk4,app(sk4,sk7)),skaf45(app(sk4,app(sk4,sk7)),sk4)),skaf45(app(sk4,app(sk4,sk7)),sk4)) = app(sk4,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_106620,c_79223,c_298]) ).
tcf(c_106641,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk4,X1)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_401]) ).
tcf(c_106642,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk4,app(sk4,sk7)),X0)) = app(sk4,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_379]) ).
tcf(c_106643,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_376]) ).
tcf(c_106644,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_15594]) ).
tcf(c_106645,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_28779]) ).
tcf(c_106646,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_26336]) ).
tcf(c_106647,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk4,cons(sk6,sk4))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_75356]) ).
tcf(c_106648,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk4,cons(sk6,sk4))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_75336]) ).
tcf(c_106649,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk4,cons(sk6,sk4))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_75316]) ).
tcf(c_106650,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk4,cons(sk6,sk7))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_84010]) ).
tcf(c_106651,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk4,cons(sk6,sk7))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_83991]) ).
tcf(c_106652,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk4,cons(sk6,sk7))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_82977]) ).
tcf(c_106653,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk4,cons(sk6,sk8))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_84849]) ).
tcf(c_106654,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk4,cons(sk6,sk8))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_84050]) ).
tcf(c_106655,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk4,cons(sk6,sk8))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_84030]) ).
tcf(c_106660,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106646,c_9020,c_79223]) ).
tcf(c_106663,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106645,c_24748,c_79223]) ).
tcf(c_106666,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106644,c_9527,c_79223]) ).
tcf(c_106669,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk4,X1)
| ~ frontsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106641,c_79223]) ).
tcf(c_106675,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106655,c_28938,c_79223]) ).
tcf(c_106679,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106654,c_28938,c_79223]) ).
tcf(c_106683,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106653,c_28938,c_79223]) ).
tcf(c_106687,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106652,c_28940,c_79223]) ).
tcf(c_106691,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106651,c_28940,c_79223]) ).
tcf(c_106695,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106650,c_28940,c_79223]) ).
tcf(c_106699,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106649,c_28942,c_79223]) ).
tcf(c_106703,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106648,c_28942,c_79223]) ).
tcf(c_106707,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106647,c_28942,c_79223]) ).
tcf(c_106711,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(X0,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106643,c_79223]) ).
tcf(c_106716,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk4,app(sk4,sk7)),X0)) = app(sk4,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106642,c_79223]) ).
tcf(c_106754,plain,
! [X0: $i] :
( ( app(skaf42(app(sk4,app(sk4,sk7)),X0),cons(X0,skaf43(X0,app(sk4,app(sk4,sk7))))) = app(sk4,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106526,c_416]) ).
tcf(c_106756,plain,
! [X0: $i] :
( ( app(skaf42(app(sk4,app(sk4,sk7)),X0),cons(X0,skaf43(X0,app(sk4,app(sk4,sk7))))) = app(sk4,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106754,c_79223]) ).
tcf(c_106771,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7))
| ~ ssList(app(app(skaf46(app(sk7,app(sk4,sk7)),sk7),sk7),X0)) ),
inference(superposition,[status(thm)],[c_92751,c_420]) ).
tcf(c_106772,plain,
! [X0: $i] :
( ( skaf46(app(sk7,app(sk4,sk7)),sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7))
| ( app(sk7,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_92751,c_398]) ).
tcf(c_106774,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(app(sk7,app(sk4,sk7)),sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_92751,c_405]) ).
tcf(c_106775,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7))
| ( app(sk7,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_92751,c_366]) ).
tcf(c_106776,plain,
( ( skaf46(app(sk7,app(sk4,sk7)),sk7) = nil )
| ~ ssList(sk7)
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7))
| ( app(sk7,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_92751,c_365]) ).
tcf(c_106777,plain,
( frontsegP(app(sk7,app(sk4,sk7)),skaf46(app(sk7,app(sk4,sk7)),sk7))
| ~ ssList(sk7)
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_92751,c_808]) ).
tcf(c_106779,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_92751,c_388]) ).
tcf(c_106780,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_92751,c_383]) ).
tcf(c_106781,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7))
| ( app(skaf46(app(sk7,app(sk4,sk7)),sk7),X0) != app(sk7,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_92751,c_397]) ).
tcf(c_106782,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7))
| ~ memberP(skaf46(app(sk7,app(sk4,sk7)),sk7),X0) ),
inference(superposition,[status(thm)],[c_92751,c_387]) ).
tcf(c_106783,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7))
| ~ frontsegP(skaf46(app(sk7,app(sk4,sk7)),sk7),X0) ),
inference(superposition,[status(thm)],[c_92751,c_384]) ).
tcf(c_106784,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_92751,c_419]) ).
tcf(c_106785,plain,
( ( skaf46(app(sk7,app(sk4,sk7)),sk7) = iPr_def_14 )
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7))
| ( app(sk7,app(sk4,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_92751,c_51335]) ).
tcf(c_106786,plain,
( ( skaf46(app(sk7,app(sk4,sk7)),sk7) = nil )
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7))
| ( app(sk7,app(sk4,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_92751,c_17625]) ).
tcf(c_106787,plain,
frontsegP(app(sk7,app(sk4,sk7)),skaf46(app(sk7,app(sk4,sk7)),sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_106777,c_6483,c_297]) ).
tcf(c_106788,plain,
( ( sk7 = nil )
| ( app(sk7,app(sk4,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106775,c_6483,c_297]) ).
tcf(c_106791,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106780,c_6483,c_297]) ).
tcf(c_106795,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106779,c_6483,c_297]) ).
tcf(c_106799,plain,
( ( skaf46(app(sk7,app(sk4,sk7)),sk7) = nil )
| ( app(sk7,app(sk4,sk7)) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106786,c_297]) ).
tcf(c_106802,plain,
( ( skaf46(app(sk7,app(sk4,sk7)),sk7) = iPr_def_14 )
| ( app(sk7,app(sk4,sk7)) != cons(sk6,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106785,c_297]) ).
tcf(c_106805,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106784,c_6483,c_297]) ).
tcf(c_106810,plain,
( ( skaf46(app(sk7,app(sk4,sk7)),sk7) = nil )
| ( app(sk7,app(sk4,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106776,c_6483,c_297]) ).
tcf(c_106813,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(app(sk7,app(sk4,sk7)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106783,c_6483,c_297]) ).
tcf(c_106817,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(app(sk7,app(sk4,sk7)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106782,c_6483,c_297]) ).
tcf(c_106821,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(app(sk7,app(sk4,sk7)),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk7,app(sk4,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106774,c_6483,c_297]) ).
tcf(c_106826,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(skaf46(app(sk7,app(sk4,sk7)),sk7),X0) != app(sk7,app(sk4,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106781,c_6483,c_297]) ).
tcf(c_106830,plain,
! [X0: $i] :
( ( skaf46(app(sk7,app(sk4,sk7)),sk7) = X0 )
| ~ ssList(X0)
| ( app(sk7,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106772,c_6483,c_297]) ).
tcf(c_106834,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7))
| ~ ssList(app(app(sk7,app(sk4,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_106771,c_92751]) ).
tcf(c_106835,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(app(sk7,app(sk4,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106834,c_6483,c_297]) ).
tcf(c_106876,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk7,app(sk4,sk7)),sk7))
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk7)))
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_106787,c_401]) ).
tcf(c_106877,plain,
( ( app(skaf46(app(sk7,app(sk4,sk7)),sk7),skaf45(app(sk7,app(sk4,sk7)),skaf46(app(sk7,app(sk4,sk7)),sk7))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_106787,c_379]) ).
tcf(c_106878,plain,
( ( skaf46(app(sk7,app(sk4,sk7)),sk7) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7))
| ~ frontsegP(skaf46(app(sk7,app(sk4,sk7)),sk7),app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106787,c_376]) ).
tcf(c_106879,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk7,app(sk4,sk7)),sk7))
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106876,c_89538,c_297]) ).
tcf(c_106883,plain,
( ( skaf46(app(sk7,app(sk4,sk7)),sk7) = app(sk7,app(sk4,sk7)) )
| ~ frontsegP(skaf46(app(sk7,app(sk4,sk7)),sk7),app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106878,c_89538,c_297]) ).
tcf(c_106886,plain,
app(skaf46(app(sk7,app(sk4,sk7)),sk7),skaf45(app(sk7,app(sk4,sk7)),skaf46(app(sk7,app(sk4,sk7)),sk7))) = app(sk7,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_106877,c_89538,c_297]) ).
tcf(c_106907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf52(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf52(X1)))
| ~ ssList(tl(skaf52(X1)))
| ~ leq(X2,hd(skaf52(X1)))
| ~ leq(hd(skaf52(X1)),X2)
| ~ ssList(app(app(X0,skaf52(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf52(X1)),tl(skaf52(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10789,c_432]) ).
tcf(c_106908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf52(X1)))
| leq(hd(skaf52(X1)),X2)
| ( skaf52(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf52(X1)))
| ~ ssList(tl(skaf52(X1)))
| ~ ssList(app(app(X0,skaf52(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf52(X1)),tl(skaf52(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10789,c_431]) ).
tcf(c_106909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf52(X1)))
| lt(hd(skaf52(X1)),X2)
| ( skaf52(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf52(X1)))
| ~ ssList(tl(skaf52(X1)))
| ~ ssList(app(app(X0,skaf52(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf52(X1)),tl(skaf52(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10789,c_430]) ).
tcf(c_106910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf52(X1)),X2)
| ( skaf52(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf52(X1)))
| ~ ssList(tl(skaf52(X1)))
| ~ ssList(app(app(X0,skaf52(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf52(X1)),tl(skaf52(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10789,c_429]) ).
tcf(c_106911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf52(X1)),X2)
| ( skaf52(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf52(X1)))
| ~ ssList(tl(skaf52(X1)))
| ~ ssList(app(app(X0,skaf52(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf52(X1)),tl(skaf52(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10789,c_428]) ).
tcf(c_106912,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf52(X1)))
| ~ ssList(tl(skaf52(X1)))
| ~ ssList(app(app(X0,skaf52(X1)),cons(hd(skaf52(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf52(X1)),tl(skaf52(X1)))),cons(hd(skaf52(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10789,c_426]) ).
tcf(c_106913,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf52(X1)),hd(skaf52(X1)))
| ( skaf52(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf52(X1)))
| ~ ssList(tl(skaf52(X1)))
| ~ ssList(app(X0,cons(hd(skaf52(X1)),tl(skaf52(X1))))) ),
inference(superposition,[status(thm)],[c_10789,c_422]) ).
tcf(c_106914,plain,
! [X0: $i] :
( memberP(skaf52(X0),hd(skaf52(X0)))
| ( skaf52(X0) = nil )
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_10789,c_385]) ).
tcf(c_106916,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( tl(skaf52(X0)) = nil )
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0)))
| ( skaf52(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10789,c_21847]) ).
tcf(c_106917,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( tl(skaf52(X0)) = nil )
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0)))
| ( skaf52(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10789,c_21842]) ).
tcf(c_106918,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( hd(skaf52(X0)) = sk5 )
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0)))
| ( skaf52(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10789,c_21750]) ).
tcf(c_106919,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( hd(skaf52(X0)) = sk6 )
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0)))
| ( skaf52(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10789,c_21745]) ).
tcf(c_106920,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( hd(skaf52(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf52(X0))
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_10789,c_21595]) ).
tcf(c_106921,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( hd(skaf52(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf52(X0))
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_10789,c_21590]) ).
tcf(c_106922,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( hd(skaf52(X0)) = sk5 )
| ~ frontsegP(skaf52(X0),iPr_def_12)
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_10789,c_21585]) ).
tcf(c_106923,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( hd(skaf52(X0)) = sk6 )
| ~ frontsegP(skaf52(X0),iPr_def_14)
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_10789,c_21580]) ).
tcf(c_106924,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf52(X0)))
| ( skaf52(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf52(X0))
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_10789,c_21202]) ).
tcf(c_106925,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf52(X0)))
| ( skaf52(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf52(X0))
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_10789,c_21197]) ).
tcf(c_106928,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X0) = nil )
| ( hd(skaf52(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0)))
| ~ frontsegP(skaf52(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10789,c_423]) ).
tcf(c_106929,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf52(X0)),X2)
| ( skaf52(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0)))
| ~ frontsegP(skaf52(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10789,c_421]) ).
tcf(c_106930,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf52(X0)),X1)
| ( skaf52(X0) = nil )
| ( hd(skaf52(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0)))
| ~ memberP(skaf52(X0),X1) ),
inference(superposition,[status(thm)],[c_10789,c_408]) ).
tcf(c_106931,plain,
! [X0: $i] :
( leq(hd(skaf52(X0)),hd(tl(skaf52(X0))))
| ( skaf52(X0) = nil )
| ( tl(skaf52(X0)) = nil )
| ~ totalorderedP(skaf52(X0))
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_10789,c_382]) ).
tcf(c_106932,plain,
! [X0: $i] :
( lt(hd(skaf52(X0)),hd(tl(skaf52(X0))))
| ( skaf52(X0) = nil )
| ( tl(skaf52(X0)) = nil )
| ~ strictorderedP(skaf52(X0))
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_10789,c_381]) ).
tcf(c_106933,plain,
! [X0: $i] :
( totalorderedP(tl(skaf52(X0)))
| ( skaf52(X0) = nil )
| ( tl(skaf52(X0)) = nil )
| ~ totalorderedP(skaf52(X0))
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_10789,c_372]) ).
tcf(c_106934,plain,
! [X0: $i] :
( strictorderedP(tl(skaf52(X0)))
| ( skaf52(X0) = nil )
| ( tl(skaf52(X0)) = nil )
| ~ strictorderedP(skaf52(X0))
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_10789,c_371]) ).
tcf(c_106935,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0)))
| ( tl(skaf52(X0)) != skaf52(X0) ) ),
inference(superposition,[status(thm)],[c_10789,c_346]) ).
tcf(c_106937,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf52(X1)),X0),skaf52(X1))
| ( skaf52(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf52(X1)))
| ~ ssList(tl(skaf52(X1)))
| ~ frontsegP(X0,tl(skaf52(X1))) ),
inference(superposition,[status(thm)],[c_10789,c_425]) ).
tcf(c_106938,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X2) = nil )
| ( hd(skaf52(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf52(X2)))
| ~ ssList(tl(skaf52(X2)))
| ~ ssList(app(X0,cons(X1,skaf52(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf52(X2)),tl(skaf52(X2)))))) ),
inference(superposition,[status(thm)],[c_10789,c_427]) ).
tcf(c_106939,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X2) = nil )
| ( tl(skaf52(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf52(X2)))
| ~ ssList(tl(skaf52(X2)))
| ( cons(X0,X1) != skaf52(X2) ) ),
inference(superposition,[status(thm)],[c_10789,c_418]) ).
tcf(c_106940,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X2) = nil )
| ( hd(skaf52(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf52(X2)))
| ~ ssList(tl(skaf52(X2)))
| ( cons(X0,X1) != skaf52(X2) ) ),
inference(superposition,[status(thm)],[c_10789,c_417]) ).
tcf(c_106941,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X2) = nil )
| ( hd(skaf52(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf52(X2)))
| ~ ssList(tl(skaf52(X2)))
| ~ frontsegP(cons(X0,X1),skaf52(X2)) ),
inference(superposition,[status(thm)],[c_10789,c_423]) ).
tcf(c_106942,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf52(X2)))
| ( skaf52(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf52(X2)))
| ~ ssList(tl(skaf52(X2)))
| ~ frontsegP(cons(X0,X1),skaf52(X2)) ),
inference(superposition,[status(thm)],[c_10789,c_421]) ).
tcf(c_106943,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf52(X0),cons(hd(skaf52(X0)),X1))
| ( skaf52(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0)))
| ~ frontsegP(tl(skaf52(X0)),X1) ),
inference(superposition,[status(thm)],[c_10789,c_425]) ).
tcf(c_106944,plain,
! [X0: $i,X1: $i] :
( memberP(skaf52(X0),X1)
| ( skaf52(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf52(X0)))
| ~ ssList(tl(skaf52(X0)))
| ~ memberP(tl(skaf52(X0)),X1) ),
inference(superposition,[status(thm)],[c_10789,c_386]) ).
tcf(c_106945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf52(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf52(X3)))
| ~ ssList(tl(skaf52(X3)))
| ~ leq(X1,hd(skaf52(X3)))
| ~ leq(hd(skaf52(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf52(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf52(X3)),tl(skaf52(X3))))) ),
inference(superposition,[status(thm)],[c_10789,c_432]) ).
tcf(c_106946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf52(X3)))
| leq(hd(skaf52(X3)),X1)
| ( skaf52(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf52(X3)))
| ~ ssList(tl(skaf52(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf52(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf52(X3)),tl(skaf52(X3))))) ),
inference(superposition,[status(thm)],[c_10789,c_431]) ).
tcf(c_106947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf52(X3)))
| lt(hd(skaf52(X3)),X1)
| ( skaf52(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf52(X3)))
| ~ ssList(tl(skaf52(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf52(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf52(X3)),tl(skaf52(X3))))) ),
inference(superposition,[status(thm)],[c_10789,c_430]) ).
tcf(c_106948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf52(X3)))
| ( skaf52(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf52(X3)))
| ~ ssList(tl(skaf52(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf52(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf52(X3)),tl(skaf52(X3))))) ),
inference(superposition,[status(thm)],[c_10789,c_429]) ).
tcf(c_106949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf52(X3)))
| ( skaf52(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf52(X3)))
| ~ ssList(tl(skaf52(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf52(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf52(X3)),tl(skaf52(X3))))) ),
inference(superposition,[status(thm)],[c_10789,c_428]) ).
tcf(c_106950,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf52(X1)))
| ~ ssList(tl(skaf52(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf52(X1)),X2)),skaf52(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf52(X1)),X2)),cons(hd(skaf52(X1)),tl(skaf52(X1))))) ),
inference(superposition,[status(thm)],[c_10789,c_426]) ).
tcf(c_107395,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(skac2,skaf48(X0,X1))))
| ( cons(skac2,skaf48(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,skac2)
| ~ strictorderedP(cons(skac2,skaf48(X0,X1)))
| ~ ssList(cons(skac2,skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_85681,c_407]) ).
tcf(c_107396,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(skac2,skaf48(X0,X1))))
| ( cons(skac2,skaf48(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,skac2)
| ~ totalorderedP(cons(skac2,skaf48(X0,X1)))
| ~ ssList(cons(skac2,skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_85681,c_406]) ).
tcf(c_107412,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(skac2,skaf47(X0,X1))))
| ( cons(skac2,skaf47(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,skac2)
| ~ strictorderedP(cons(skac2,skaf47(X0,X1)))
| ~ ssList(cons(skac2,skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_85682,c_407]) ).
tcf(c_107413,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(skac2,skaf47(X0,X1))))
| ( cons(skac2,skaf47(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,skac2)
| ~ totalorderedP(cons(skac2,skaf47(X0,X1)))
| ~ ssList(cons(skac2,skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_85682,c_406]) ).
tcf(c_107450,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(skac2,skaf46(X0,X1))))
| ( cons(skac2,skaf46(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,skac2)
| ~ strictorderedP(cons(skac2,skaf46(X0,X1)))
| ~ ssList(cons(skac2,skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_85683,c_407]) ).
tcf(c_107451,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(skac2,skaf46(X0,X1))))
| ( cons(skac2,skaf46(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,skac2)
| ~ totalorderedP(cons(skac2,skaf46(X0,X1)))
| ~ ssList(cons(skac2,skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_85683,c_406]) ).
tcf(c_107480,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(skac2,skaf45(X0,X1))))
| ( cons(skac2,skaf45(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,skac2)
| ~ strictorderedP(cons(skac2,skaf45(X0,X1)))
| ~ ssList(cons(skac2,skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_85684,c_407]) ).
tcf(c_107481,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(skac2,skaf45(X0,X1))))
| ( cons(skac2,skaf45(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,skac2)
| ~ totalorderedP(cons(skac2,skaf45(X0,X1)))
| ~ ssList(cons(skac2,skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_85684,c_406]) ).
tcf(c_107515,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66905,c_401]) ).
tcf(c_107516,plain,
( ( app(sk7,skaf45(cons(sk5,sk4),sk7)) = cons(sk5,sk4) )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66905,c_379]) ).
tcf(c_107517,plain,
( ( cons(sk5,sk4) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk7,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66905,c_376]) ).
tcf(c_107518,plain,
( ( cons(sk5,sk4) = sk7 )
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107517,c_6483,c_66402]) ).
tcf(c_107522,plain,
( ( app(sk7,skaf45(cons(sk5,sk4),sk7)) = cons(sk5,sk4) )
| ~ frontsegP(iPr_def_12,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107516,c_6483,c_66402]) ).
tcf(c_107525,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107515,c_6483,c_66402]) ).
tcf(c_107535,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66908,c_401]) ).
tcf(c_107536,plain,
( ( app(sk7,skaf45(cons(sk5,sk4),sk7)) = cons(sk5,sk4) )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66908,c_379]) ).
tcf(c_107537,plain,
( ( cons(sk5,sk4) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk7,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66908,c_376]) ).
tcf(c_107538,plain,
( ( cons(sk5,sk4) = sk7 )
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107537,c_6483,c_66402]) ).
tcf(c_107542,plain,
( ( app(sk7,skaf45(cons(sk5,sk4),sk7)) = cons(sk5,sk4) )
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107536,c_6483,c_66402]) ).
tcf(c_107545,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107535,c_6483,c_66402]) ).
tcf(c_107576,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106791,c_400]) ).
tcf(c_107577,plain,
! [X0: $i] :
( ( app(skaf46(app(sk7,app(sk4,sk7)),X0),X0) = app(sk7,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106791,c_378]) ).
tcf(c_107578,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106791,c_375]) ).
tcf(c_107579,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106791,c_15170]) ).
tcf(c_107581,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ rearsegP(sk7,cons(sk6,sk4))
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106791,c_69708]) ).
tcf(c_107582,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_106791,c_81078]) ).
tcf(c_107584,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_106791,c_81049]) ).
tcf(c_107585,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_106791,c_92762]) ).
tcf(c_107587,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_106791,c_91539]) ).
tcf(c_107588,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk7,cons(sk5,sk4))
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106791,c_66649]) ).
tcf(c_107589,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_106791,c_68485]) ).
tcf(c_107590,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_106791,c_68796]) ).
tcf(c_107591,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_106791,c_69620]) ).
tcf(c_107592,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107579,c_9020,c_89538]) ).
tcf(c_107595,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107588,c_66402,c_89538]) ).
tcf(c_107598,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ rearsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107576,c_89538]) ).
tcf(c_107604,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107591,c_89538,c_68959]) ).
tcf(c_107607,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107590,c_89538,c_68529]) ).
tcf(c_107610,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107589,c_89538,c_68222]) ).
tcf(c_107613,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107587,c_89535,c_89538]) ).
tcf(c_107616,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107585,c_89538,c_89541]) ).
tcf(c_107619,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107584,c_89538,c_79220]) ).
tcf(c_107622,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107582,c_89538,c_79226]) ).
tcf(c_107625,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk7,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107581,c_28942,c_89538]) ).
tcf(c_107629,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ rearsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107578,c_89538]) ).
tcf(c_107634,plain,
! [X0: $i] :
( ( app(skaf46(app(sk7,app(sk4,sk7)),X0),X0) = app(sk7,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107577,c_89538]) ).
tcf(c_107689,plain,
! [X0: $i] :
( ( app(skaf42(app(sk7,app(sk4,sk7)),X0),cons(X0,skaf43(X0,app(sk7,app(sk4,sk7))))) = app(sk7,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106795,c_416]) ).
tcf(c_107691,plain,
! [X0: $i] :
( ( app(skaf42(app(sk7,app(sk4,sk7)),X0),cons(X0,skaf43(X0,app(sk7,app(sk4,sk7))))) = app(sk7,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107689,c_89538]) ).
tcf(c_107702,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4))
| ~ ssList(app(app(skaf46(app(sk7,app(sk4,sk4)),sk4),sk4),X0)) ),
inference(superposition,[status(thm)],[c_92769,c_420]) ).
tcf(c_107703,plain,
! [X0: $i] :
( ( skaf46(app(sk7,app(sk4,sk4)),sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4))
| ( app(sk7,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_92769,c_398]) ).
tcf(c_107705,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(app(sk7,app(sk4,sk4)),sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_92769,c_405]) ).
tcf(c_107706,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4))
| ( app(sk7,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_92769,c_366]) ).
tcf(c_107707,plain,
( ( skaf46(app(sk7,app(sk4,sk4)),sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4))
| ( app(sk7,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_92769,c_365]) ).
tcf(c_107708,plain,
( frontsegP(app(sk7,app(sk4,sk4)),skaf46(app(sk7,app(sk4,sk4)),sk4))
| ~ ssList(sk4)
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_92769,c_808]) ).
tcf(c_107710,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_92769,c_388]) ).
tcf(c_107711,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_92769,c_383]) ).
tcf(c_107712,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4))
| ( app(skaf46(app(sk7,app(sk4,sk4)),sk4),X0) != app(sk7,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_92769,c_397]) ).
tcf(c_107713,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4))
| ~ memberP(skaf46(app(sk7,app(sk4,sk4)),sk4),X0) ),
inference(superposition,[status(thm)],[c_92769,c_387]) ).
tcf(c_107714,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4))
| ~ frontsegP(skaf46(app(sk7,app(sk4,sk4)),sk4),X0) ),
inference(superposition,[status(thm)],[c_92769,c_384]) ).
tcf(c_107715,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_92769,c_419]) ).
tcf(c_107716,plain,
( ( skaf46(app(sk7,app(sk4,sk4)),sk4) = iPr_def_12 )
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4))
| ( app(sk7,app(sk4,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_92769,c_66433]) ).
tcf(c_107717,plain,
( ( skaf46(app(sk7,app(sk4,sk4)),sk4) = iPr_def_14 )
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4))
| ( app(sk7,app(sk4,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_92769,c_51225]) ).
tcf(c_107718,plain,
( ( skaf46(app(sk7,app(sk4,sk4)),sk4) = nil )
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4))
| ( app(sk7,app(sk4,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_92769,c_17629]) ).
tcf(c_107719,plain,
frontsegP(app(sk7,app(sk4,sk4)),skaf46(app(sk7,app(sk4,sk4)),sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_107708,c_6486,c_297]) ).
tcf(c_107720,plain,
( ( sk4 = nil )
| ( app(sk7,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107706,c_6486,c_297]) ).
tcf(c_107723,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107711,c_6486,c_297]) ).
tcf(c_107727,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107710,c_6486,c_297]) ).
tcf(c_107731,plain,
( ( skaf46(app(sk7,app(sk4,sk4)),sk4) = nil )
| ( app(sk7,app(sk4,sk4)) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107718,c_297]) ).
tcf(c_107734,plain,
( ( skaf46(app(sk7,app(sk4,sk4)),sk4) = iPr_def_14 )
| ( app(sk7,app(sk4,sk4)) != cons(sk6,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107717,c_297]) ).
tcf(c_107737,plain,
( ( skaf46(app(sk7,app(sk4,sk4)),sk4) = iPr_def_12 )
| ( app(sk7,app(sk4,sk4)) != cons(sk5,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107716,c_297]) ).
tcf(c_107740,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107715,c_6486,c_297]) ).
tcf(c_107745,plain,
( ( skaf46(app(sk7,app(sk4,sk4)),sk4) = nil )
| ( app(sk7,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107707,c_6486,c_297]) ).
tcf(c_107748,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(app(sk7,app(sk4,sk4)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107714,c_6486,c_297]) ).
tcf(c_107752,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(app(sk7,app(sk4,sk4)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107713,c_6486,c_297]) ).
tcf(c_107756,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(app(sk7,app(sk4,sk4)),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk7,app(sk4,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107705,c_6486,c_297]) ).
tcf(c_107761,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(skaf46(app(sk7,app(sk4,sk4)),sk4),X0) != app(sk7,app(sk4,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107712,c_6486,c_297]) ).
tcf(c_107765,plain,
! [X0: $i] :
( ( skaf46(app(sk7,app(sk4,sk4)),sk4) = X0 )
| ~ ssList(X0)
| ( app(sk7,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107703,c_6486,c_297]) ).
tcf(c_107769,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4))
| ~ ssList(app(app(sk7,app(sk4,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_107702,c_92769]) ).
tcf(c_107770,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(app(sk7,app(sk4,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107769,c_6486,c_297]) ).
tcf(c_107901,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk7,app(sk4,sk4)),sk4))
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk4)))
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_107719,c_401]) ).
tcf(c_107902,plain,
( ( app(skaf46(app(sk7,app(sk4,sk4)),sk4),skaf45(app(sk7,app(sk4,sk4)),skaf46(app(sk7,app(sk4,sk4)),sk4))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_107719,c_379]) ).
tcf(c_107903,plain,
( ( skaf46(app(sk7,app(sk4,sk4)),sk4) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(skaf46(app(sk7,app(sk4,sk4)),sk4))
| ~ frontsegP(skaf46(app(sk7,app(sk4,sk4)),sk4),app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_107719,c_376]) ).
tcf(c_107904,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk7,app(sk4,sk4)),sk4))
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107901,c_89541,c_297]) ).
tcf(c_107908,plain,
( ( skaf46(app(sk7,app(sk4,sk4)),sk4) = app(sk7,app(sk4,sk4)) )
| ~ frontsegP(skaf46(app(sk7,app(sk4,sk4)),sk4),app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107903,c_89541,c_297]) ).
tcf(c_107911,plain,
app(skaf46(app(sk7,app(sk4,sk4)),sk4),skaf45(app(sk7,app(sk4,sk4)),skaf46(app(sk7,app(sk4,sk4)),sk4))) = app(sk7,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_107902,c_89541,c_297]) ).
tcf(c_107923,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_107723,c_400]) ).
tcf(c_107924,plain,
! [X0: $i] :
( ( app(skaf46(app(sk7,app(sk4,sk4)),X0),X0) = app(sk7,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_107723,c_378]) ).
tcf(c_107925,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_107723,c_375]) ).
tcf(c_107926,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_107723,c_15170]) ).
tcf(c_107927,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ rearsegP(sk4,cons(sk6,sk7))
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_107723,c_69731]) ).
tcf(c_107930,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_107723,c_81066]) ).
tcf(c_107931,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_107723,c_81049]) ).
tcf(c_107933,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_107723,c_92744]) ).
tcf(c_107934,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_107723,c_91539]) ).
tcf(c_107939,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107926,c_9020,c_89541]) ).
tcf(c_107942,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ rearsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107923,c_89541]) ).
tcf(c_107948,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107934,c_89535,c_89541]) ).
tcf(c_107951,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107933,c_89538,c_89541]) ).
tcf(c_107954,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107931,c_89541,c_79220]) ).
tcf(c_107957,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107930,c_89541,c_79223]) ).
tcf(c_107960,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ rearsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107927,c_28940,c_89541]) ).
tcf(c_107964,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ rearsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107925,c_89541]) ).
tcf(c_107969,plain,
! [X0: $i] :
( ( app(skaf46(app(sk7,app(sk4,sk4)),X0),X0) = app(sk7,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107924,c_89541]) ).
tcf(c_108022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf51(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf51(X1)))
| ~ ssList(tl(skaf51(X1)))
| ~ leq(X2,hd(skaf51(X1)))
| ~ leq(hd(skaf51(X1)),X2)
| ~ ssList(app(app(X0,skaf51(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf51(X1)),tl(skaf51(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10790,c_432]) ).
tcf(c_108023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,hd(skaf51(X1)))
| leq(hd(skaf51(X1)),X2)
| ( skaf51(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf51(X1)))
| ~ ssList(tl(skaf51(X1)))
| ~ ssList(app(app(X0,skaf51(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(hd(skaf51(X1)),tl(skaf51(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10790,c_431]) ).
tcf(c_108024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,hd(skaf51(X1)))
| lt(hd(skaf51(X1)),X2)
| ( skaf51(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf51(X1)))
| ~ ssList(tl(skaf51(X1)))
| ~ ssList(app(app(X0,skaf51(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(hd(skaf51(X1)),tl(skaf51(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10790,c_430]) ).
tcf(c_108025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(hd(skaf51(X1)),X2)
| ( skaf51(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf51(X1)))
| ~ ssList(tl(skaf51(X1)))
| ~ ssList(app(app(X0,skaf51(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf51(X1)),tl(skaf51(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10790,c_429]) ).
tcf(c_108026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(hd(skaf51(X1)),X2)
| ( skaf51(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf51(X1)))
| ~ ssList(tl(skaf51(X1)))
| ~ ssList(app(app(X0,skaf51(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf51(X1)),tl(skaf51(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10790,c_428]) ).
tcf(c_108027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf51(X1)))
| ~ ssList(tl(skaf51(X1)))
| ~ ssList(app(app(X0,skaf51(X1)),cons(hd(skaf51(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf51(X1)),tl(skaf51(X1)))),cons(hd(skaf51(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10790,c_426]) ).
tcf(c_108028,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf51(X1)),hd(skaf51(X1)))
| ( skaf51(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf51(X1)))
| ~ ssList(tl(skaf51(X1)))
| ~ ssList(app(X0,cons(hd(skaf51(X1)),tl(skaf51(X1))))) ),
inference(superposition,[status(thm)],[c_10790,c_422]) ).
tcf(c_108029,plain,
! [X0: $i] :
( memberP(skaf51(X0),hd(skaf51(X0)))
| ( skaf51(X0) = nil )
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_10790,c_385]) ).
tcf(c_108031,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( tl(skaf51(X0)) = nil )
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0)))
| ( skaf51(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10790,c_21847]) ).
tcf(c_108032,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( tl(skaf51(X0)) = nil )
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0)))
| ( skaf51(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10790,c_21842]) ).
tcf(c_108033,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( hd(skaf51(X0)) = sk5 )
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0)))
| ( skaf51(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10790,c_21750]) ).
tcf(c_108034,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( hd(skaf51(X0)) = sk6 )
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0)))
| ( skaf51(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10790,c_21745]) ).
tcf(c_108035,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( hd(skaf51(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf51(X0))
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_10790,c_21595]) ).
tcf(c_108036,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( hd(skaf51(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf51(X0))
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_10790,c_21590]) ).
tcf(c_108037,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( hd(skaf51(X0)) = sk5 )
| ~ frontsegP(skaf51(X0),iPr_def_12)
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_10790,c_21585]) ).
tcf(c_108038,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( hd(skaf51(X0)) = sk6 )
| ~ frontsegP(skaf51(X0),iPr_def_14)
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_10790,c_21580]) ).
tcf(c_108039,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf51(X0)))
| ( skaf51(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf51(X0))
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_10790,c_21202]) ).
tcf(c_108040,plain,
! [X0: $i] :
( frontsegP(nil,tl(skaf51(X0)))
| ( skaf51(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf51(X0))
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_10790,c_21197]) ).
tcf(c_108043,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X0) = nil )
| ( hd(skaf51(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0)))
| ~ frontsegP(skaf51(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10790,c_423]) ).
tcf(c_108044,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(tl(skaf51(X0)),X2)
| ( skaf51(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0)))
| ~ frontsegP(skaf51(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10790,c_421]) ).
tcf(c_108045,plain,
! [X0: $i,X1: $i] :
( memberP(tl(skaf51(X0)),X1)
| ( skaf51(X0) = nil )
| ( hd(skaf51(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0)))
| ~ memberP(skaf51(X0),X1) ),
inference(superposition,[status(thm)],[c_10790,c_408]) ).
tcf(c_108046,plain,
! [X0: $i] :
( leq(hd(skaf51(X0)),hd(tl(skaf51(X0))))
| ( skaf51(X0) = nil )
| ( tl(skaf51(X0)) = nil )
| ~ totalorderedP(skaf51(X0))
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_10790,c_382]) ).
tcf(c_108047,plain,
! [X0: $i] :
( lt(hd(skaf51(X0)),hd(tl(skaf51(X0))))
| ( skaf51(X0) = nil )
| ( tl(skaf51(X0)) = nil )
| ~ strictorderedP(skaf51(X0))
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_10790,c_381]) ).
tcf(c_108048,plain,
! [X0: $i] :
( totalorderedP(tl(skaf51(X0)))
| ( skaf51(X0) = nil )
| ( tl(skaf51(X0)) = nil )
| ~ totalorderedP(skaf51(X0))
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_10790,c_372]) ).
tcf(c_108049,plain,
! [X0: $i] :
( strictorderedP(tl(skaf51(X0)))
| ( skaf51(X0) = nil )
| ( tl(skaf51(X0)) = nil )
| ~ strictorderedP(skaf51(X0))
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_10790,c_371]) ).
tcf(c_108050,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0)))
| ( tl(skaf51(X0)) != skaf51(X0) ) ),
inference(superposition,[status(thm)],[c_10790,c_346]) ).
tcf(c_108052,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(hd(skaf51(X1)),X0),skaf51(X1))
| ( skaf51(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf51(X1)))
| ~ ssList(tl(skaf51(X1)))
| ~ frontsegP(X0,tl(skaf51(X1))) ),
inference(superposition,[status(thm)],[c_10790,c_425]) ).
tcf(c_108053,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X2) = nil )
| ( hd(skaf51(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf51(X2)))
| ~ ssList(tl(skaf51(X2)))
| ~ ssList(app(X0,cons(X1,skaf51(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf51(X2)),tl(skaf51(X2)))))) ),
inference(superposition,[status(thm)],[c_10790,c_427]) ).
tcf(c_108054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X2) = nil )
| ( tl(skaf51(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf51(X2)))
| ~ ssList(tl(skaf51(X2)))
| ( cons(X0,X1) != skaf51(X2) ) ),
inference(superposition,[status(thm)],[c_10790,c_418]) ).
tcf(c_108055,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X2) = nil )
| ( hd(skaf51(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf51(X2)))
| ~ ssList(tl(skaf51(X2)))
| ( cons(X0,X1) != skaf51(X2) ) ),
inference(superposition,[status(thm)],[c_10790,c_417]) ).
tcf(c_108056,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X2) = nil )
| ( hd(skaf51(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf51(X2)))
| ~ ssList(tl(skaf51(X2)))
| ~ frontsegP(cons(X0,X1),skaf51(X2)) ),
inference(superposition,[status(thm)],[c_10790,c_423]) ).
tcf(c_108057,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,tl(skaf51(X2)))
| ( skaf51(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf51(X2)))
| ~ ssList(tl(skaf51(X2)))
| ~ frontsegP(cons(X0,X1),skaf51(X2)) ),
inference(superposition,[status(thm)],[c_10790,c_421]) ).
tcf(c_108058,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf51(X0),cons(hd(skaf51(X0)),X1))
| ( skaf51(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0)))
| ~ frontsegP(tl(skaf51(X0)),X1) ),
inference(superposition,[status(thm)],[c_10790,c_425]) ).
tcf(c_108059,plain,
! [X0: $i,X1: $i] :
( memberP(skaf51(X0),X1)
| ( skaf51(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(hd(skaf51(X0)))
| ~ ssList(tl(skaf51(X0)))
| ~ memberP(tl(skaf51(X0)),X1) ),
inference(superposition,[status(thm)],[c_10790,c_386]) ).
tcf(c_108060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf51(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf51(X3)))
| ~ ssList(tl(skaf51(X3)))
| ~ leq(X1,hd(skaf51(X3)))
| ~ leq(hd(skaf51(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf51(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf51(X3)),tl(skaf51(X3))))) ),
inference(superposition,[status(thm)],[c_10790,c_432]) ).
tcf(c_108061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf51(X3)))
| leq(hd(skaf51(X3)),X1)
| ( skaf51(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf51(X3)))
| ~ ssList(tl(skaf51(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf51(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf51(X3)),tl(skaf51(X3))))) ),
inference(superposition,[status(thm)],[c_10790,c_431]) ).
tcf(c_108062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf51(X3)))
| lt(hd(skaf51(X3)),X1)
| ( skaf51(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf51(X3)))
| ~ ssList(tl(skaf51(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf51(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf51(X3)),tl(skaf51(X3))))) ),
inference(superposition,[status(thm)],[c_10790,c_430]) ).
tcf(c_108063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,hd(skaf51(X3)))
| ( skaf51(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf51(X3)))
| ~ ssList(tl(skaf51(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf51(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf51(X3)),tl(skaf51(X3))))) ),
inference(superposition,[status(thm)],[c_10790,c_429]) ).
tcf(c_108064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,hd(skaf51(X3)))
| ( skaf51(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf51(X3)))
| ~ ssList(tl(skaf51(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf51(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf51(X3)),tl(skaf51(X3))))) ),
inference(superposition,[status(thm)],[c_10790,c_428]) ).
tcf(c_108065,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf51(X1)))
| ~ ssList(tl(skaf51(X1)))
| ~ ssList(app(app(X0,cons(hd(skaf51(X1)),X2)),skaf51(X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf51(X1)),X2)),cons(hd(skaf51(X1)),tl(skaf51(X1))))) ),
inference(superposition,[status(thm)],[c_10790,c_426]) ).
tcf(c_108626,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(skac2,skaf43(X0,X1))))
| ( cons(skac2,skaf43(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,skac2)
| ~ strictorderedP(cons(skac2,skaf43(X0,X1)))
| ~ ssList(cons(skac2,skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_85685,c_407]) ).
tcf(c_108627,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(skac2,skaf43(X0,X1))))
| ( cons(skac2,skaf43(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,skac2)
| ~ totalorderedP(cons(skac2,skaf43(X0,X1)))
| ~ ssList(cons(skac2,skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_85685,c_406]) ).
tcf(c_108884,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,cons(skac2,skaf42(X0,X1))))
| ( cons(skac2,skaf42(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,skac2)
| ~ strictorderedP(cons(skac2,skaf42(X0,X1)))
| ~ ssList(cons(skac2,skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_85686,c_407]) ).
tcf(c_108885,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,cons(skac2,skaf42(X0,X1))))
| ( cons(skac2,skaf42(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,skac2)
| ~ totalorderedP(cons(skac2,skaf42(X0,X1)))
| ~ ssList(cons(skac2,skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_85686,c_406]) ).
tcf(c_108911,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66911,c_401]) ).
tcf(c_108912,plain,
( ( app(sk7,skaf45(cons(sk5,sk4),sk7)) = cons(sk5,sk4) )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66911,c_379]) ).
tcf(c_108913,plain,
( ( cons(sk5,sk4) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk7,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_66911,c_376]) ).
tcf(c_108914,plain,
( ( cons(sk5,sk4) = sk7 )
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108913,c_6483,c_66402]) ).
tcf(c_108918,plain,
( ( app(sk7,skaf45(cons(sk5,sk4),sk7)) = cons(sk5,sk4) )
| ~ frontsegP(iPr_def_12,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108912,c_6483,c_66402]) ).
tcf(c_108921,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108911,c_6483,c_66402]) ).
tcf(c_108931,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(X0,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_67021,c_400]) ).
tcf(c_108932,plain,
( ( app(skaf46(cons(sk5,sk4),sk8),sk8) = cons(sk5,sk4) )
| ~ ssList(sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_67021,c_378]) ).
tcf(c_108933,plain,
( ( cons(sk5,sk4) = sk8 )
| ~ ssList(sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk8,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_67021,c_375]) ).
tcf(c_108934,plain,
( ( cons(sk5,sk4) = sk8 )
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk8,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108933,c_6482,c_66402]) ).
tcf(c_108938,plain,
( ( app(skaf46(cons(sk5,sk4),sk8),sk8) = cons(sk5,sk4) )
| ~ rearsegP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108932,c_6482,c_66402]) ).
tcf(c_108941,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(X0,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108931,c_6482,c_66402]) ).
tcf(c_109012,plain,
! [X0: $i] :
( ( app(skaf42(app(sk7,app(sk4,sk4)),X0),cons(X0,skaf43(X0,app(sk7,app(sk4,sk4))))) = app(sk7,app(sk4,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_107727,c_416]) ).
tcf(c_109013,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(app(sk4,sk4),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_107727,c_405]) ).
tcf(c_109015,plain,
! [X0: $i] :
( ( app(skaf42(app(sk7,app(sk4,sk4)),X0),cons(X0,skaf43(X0,app(sk7,app(sk4,sk4))))) = app(sk7,app(sk4,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109012,c_89541]) ).
tcf(c_109026,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk4)),X0),skaf45(app(sk4,app(sk4,sk4)),sk4))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4))
| ~ ssList(app(app(sk4,skaf45(app(sk4,app(sk4,sk4)),sk4)),X0)) ),
inference(superposition,[status(thm)],[c_92807,c_420]) ).
tcf(c_109027,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4))
| ( app(X0,skaf45(app(sk4,app(sk4,sk4)),sk4)) != app(sk4,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_92807,c_398]) ).
tcf(c_109029,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf45(app(sk4,app(sk4,sk4)),sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_92807,c_405]) ).
tcf(c_109030,plain,
( ( skaf45(app(sk4,app(sk4,sk4)),sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4))
| ( app(sk4,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_92807,c_366]) ).
tcf(c_109031,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4))
| ( app(sk4,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_92807,c_365]) ).
tcf(c_109033,plain,
( rearsegP(app(sk4,app(sk4,sk4)),skaf45(app(sk4,app(sk4,sk4)),sk4))
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_92807,c_807]) ).
tcf(c_109034,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4))
| ~ memberP(skaf45(app(sk4,app(sk4,sk4)),sk4),X0) ),
inference(superposition,[status(thm)],[c_92807,c_388]) ).
tcf(c_109035,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4))
| ~ rearsegP(skaf45(app(sk4,app(sk4,sk4)),sk4),X0) ),
inference(superposition,[status(thm)],[c_92807,c_383]) ).
tcf(c_109036,plain,
! [X0: $i] :
( ( skaf45(app(sk4,app(sk4,sk4)),sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4))
| ( app(sk4,app(sk4,sk4)) != app(sk4,X0) ) ),
inference(superposition,[status(thm)],[c_92807,c_397]) ).
tcf(c_109037,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_92807,c_387]) ).
tcf(c_109038,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_92807,c_384]) ).
tcf(c_109039,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4))
| ~ segmentP(skaf45(app(sk4,app(sk4,sk4)),sk4),X0) ),
inference(superposition,[status(thm)],[c_92807,c_419]) ).
tcf(c_109040,plain,
( ( skaf45(app(sk4,app(sk4,sk4)),sk4) = nil )
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4))
| ( app(sk4,app(sk4,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_92807,c_17078]) ).
tcf(c_109042,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_92807,c_20315]) ).
tcf(c_109044,plain,
! [X0: $i] :
( segmentP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109042,c_298]) ).
tcf(c_109048,plain,
rearsegP(app(sk4,app(sk4,sk4)),skaf45(app(sk4,app(sk4,sk4)),sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_109033,c_6486,c_298]) ).
tcf(c_109050,plain,
! [X0: $i] :
( frontsegP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109038,c_6486,c_298]) ).
tcf(c_109055,plain,
( ( skaf45(app(sk4,app(sk4,sk4)),sk4) = nil )
| ( app(sk4,app(sk4,sk4)) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109040,c_298]) ).
tcf(c_109058,plain,
( ( skaf45(app(sk4,app(sk4,sk4)),sk4) = nil )
| ( app(sk4,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109030,c_6486,c_298]) ).
tcf(c_109061,plain,
! [X0: $i] :
( rearsegP(app(sk4,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(app(sk4,app(sk4,sk4)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109035,c_6486,c_298]) ).
tcf(c_109065,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(app(sk4,app(sk4,sk4)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109034,c_6486,c_298]) ).
tcf(c_109069,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf45(app(sk4,app(sk4,sk4)),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk4,app(sk4,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109029,c_6486,c_298]) ).
tcf(c_109074,plain,
! [X0: $i] :
( ( skaf45(app(sk4,app(sk4,sk4)),sk4) = X0 )
| ~ ssList(X0)
| ( app(sk4,app(sk4,sk4)) != app(sk4,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109036,c_6486,c_298]) ).
tcf(c_109078,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(X0,skaf45(app(sk4,app(sk4,sk4)),sk4)) != app(sk4,app(sk4,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109027,c_6486,c_298]) ).
tcf(c_109082,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,app(sk4,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(app(sk4,app(sk4,sk4)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109039,c_6486,c_298]) ).
tcf(c_109087,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk4)),X0),skaf45(app(sk4,app(sk4,sk4)),sk4))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4))
| ~ ssList(app(app(sk4,app(sk4,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_109026,c_92807]) ).
tcf(c_109088,plain,
! [X0: $i] :
( segmentP(app(app(sk4,app(sk4,sk4)),X0),skaf45(app(sk4,app(sk4,sk4)),sk4))
| ~ ssList(X0)
| ~ ssList(app(app(sk4,app(sk4,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109087,c_6486,c_298]) ).
tcf(c_109101,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk4,app(sk4,sk4)),sk4))
| ~ ssList(X0)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk4,app(sk4,sk4)))
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_109048,c_400]) ).
tcf(c_109102,plain,
( ( app(skaf46(app(sk4,app(sk4,sk4)),skaf45(app(sk4,app(sk4,sk4)),sk4)),skaf45(app(sk4,app(sk4,sk4)),sk4)) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_109048,c_378]) ).
tcf(c_109103,plain,
( ( skaf45(app(sk4,app(sk4,sk4)),sk4) = app(sk4,app(sk4,sk4)) )
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(skaf45(app(sk4,app(sk4,sk4)),sk4))
| ~ rearsegP(skaf45(app(sk4,app(sk4,sk4)),sk4),app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109048,c_375]) ).
tcf(c_109104,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk4,app(sk4,sk4)),sk4))
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109101,c_79226,c_298]) ).
tcf(c_109108,plain,
( ( skaf45(app(sk4,app(sk4,sk4)),sk4) = app(sk4,app(sk4,sk4)) )
| ~ rearsegP(skaf45(app(sk4,app(sk4,sk4)),sk4),app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109103,c_79226,c_298]) ).
tcf(c_109111,plain,
app(skaf46(app(sk4,app(sk4,sk4)),skaf45(app(sk4,app(sk4,sk4)),sk4)),skaf45(app(sk4,app(sk4,sk4)),sk4)) = app(sk4,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_109102,c_79226,c_298]) ).
tcf(c_109119,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk4,X1)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_401]) ).
tcf(c_109120,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk4,app(sk4,sk4)),X0)) = app(sk4,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_379]) ).
tcf(c_109121,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_376]) ).
tcf(c_109122,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_15594]) ).
tcf(c_109123,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_28779]) ).
tcf(c_109124,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_26336]) ).
tcf(c_109125,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk4,cons(sk6,sk4))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_75356]) ).
tcf(c_109126,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk4,cons(sk6,sk4))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_75336]) ).
tcf(c_109127,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk4,cons(sk6,sk4))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_75316]) ).
tcf(c_109128,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk4,cons(sk6,sk7))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_84010]) ).
tcf(c_109129,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk4,cons(sk6,sk7))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_83991]) ).
tcf(c_109130,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk4,cons(sk6,sk7))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_82977]) ).
tcf(c_109131,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk4,cons(sk6,sk8))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_84849]) ).
tcf(c_109132,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk4,cons(sk6,sk8))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_84050]) ).
tcf(c_109133,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk4,cons(sk6,sk8))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_84030]) ).
tcf(c_109138,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109124,c_9020,c_79226]) ).
tcf(c_109141,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109123,c_24748,c_79226]) ).
tcf(c_109144,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109122,c_9527,c_79226]) ).
tcf(c_109147,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk4,X1)
| ~ frontsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109119,c_79226]) ).
tcf(c_109153,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109133,c_28938,c_79226]) ).
tcf(c_109157,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109132,c_28938,c_79226]) ).
tcf(c_109161,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109131,c_28938,c_79226]) ).
tcf(c_109165,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109130,c_28940,c_79226]) ).
tcf(c_109169,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109129,c_28940,c_79226]) ).
tcf(c_109173,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109128,c_28940,c_79226]) ).
tcf(c_109177,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109127,c_28942,c_79226]) ).
tcf(c_109181,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109126,c_28942,c_79226]) ).
tcf(c_109185,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109125,c_28942,c_79226]) ).
tcf(c_109189,plain,
! [X0: $i] :
( ( app(sk4,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(X0,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109121,c_79226]) ).
tcf(c_109194,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk4,app(sk4,sk4)),X0)) = app(sk4,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109120,c_79226]) ).
tcf(c_109450,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_384,c_107525]) ).
tcf(c_109451,plain,
! [X0: $i] :
( frontsegP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(superposition,[status(thm)],[c_808,c_107525]) ).
tcf(c_109452,plain,
! [X0: $i] :
( frontsegP(cons(sk5,X0),sk7)
| ~ ssItem(sk5)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(X0,sk4)
| ~ ssList(cons(sk5,X0)) ),
inference(superposition,[status(thm)],[c_425,c_107525]) ).
tcf(c_109453,plain,
( frontsegP(iPr_def_12,sk7)
| ~ ssList(iPr_def_12)
| ~ ssList(sk4)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(nil,sk4) ),
inference(superposition,[status(thm)],[c_15757,c_107525]) ).
tcf(c_109454,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_107525]) ).
tcf(c_109455,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_51316,c_107525]) ).
tcf(c_109456,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_51801,c_107525]) ).
tcf(c_109457,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk4,cons(sk5,sk4))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_107525]) ).
tcf(c_109458,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_79173,c_107525]) ).
tcf(c_109459,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk4,cons(sk5,sk4))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_107525]) ).
tcf(c_109460,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk4,cons(sk5,sk4))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_107525]) ).
tcf(c_109462,plain,
( frontsegP(cons(sk5,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_67330,c_107525]) ).
tcf(c_109464,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_68249,c_107525]) ).
tcf(c_109465,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_68556,c_107525]) ).
tcf(c_109466,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_68986,c_107525]) ).
tcf(c_109467,plain,
( frontsegP(iPr_def_12,sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(nil,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109453,c_9489,c_6486]) ).
tcf(c_109471,plain,
( frontsegP(cons(sk5,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109462,c_66447]) ).
tcf(c_109474,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109458,c_79152,c_66402]) ).
tcf(c_109478,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109456,c_28938,c_66402]) ).
tcf(c_109482,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109455,c_28940,c_66402]) ).
tcf(c_109486,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109454,c_28942,c_66402]) ).
tcf(c_109490,plain,
! [X0: $i] :
( frontsegP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109451,c_66402]) ).
tcf(c_109495,plain,
! [X0: $i] :
( frontsegP(cons(sk5,X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(X0,sk4)
| ~ ssList(cons(sk5,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109452,c_6485,c_6486]) ).
tcf(c_109501,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109460,c_66402,c_79220]) ).
tcf(c_109505,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109459,c_66402,c_79223]) ).
tcf(c_109509,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109457,c_66402,c_79226]) ).
tcf(c_109513,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(cons(sk6,sk8),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109466,c_66402,c_68959]) ).
tcf(c_109517,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(cons(sk6,sk7),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109465,c_66402,c_68529]) ).
tcf(c_109521,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(cons(sk6,sk4),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109464,c_66402,c_68222]) ).
tcf(c_109525,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109450,c_66402]) ).
tcf(c_109707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf48(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf48(X1,X2)))
| ~ ssList(tl(skaf48(X1,X2)))
| ~ leq(X3,hd(skaf48(X1,X2)))
| ~ leq(hd(skaf48(X1,X2)),X3)
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf48(X1,X2)),tl(skaf48(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10791,c_432]) ).
tcf(c_109708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X3,hd(skaf48(X1,X2)))
| leq(hd(skaf48(X1,X2)),X3)
| ( skaf48(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf48(X1,X2)))
| ~ ssList(tl(skaf48(X1,X2)))
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(X3,X4)))
| ~ totalorderP(app(app(X0,cons(hd(skaf48(X1,X2)),tl(skaf48(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10791,c_431]) ).
tcf(c_109709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X3,hd(skaf48(X1,X2)))
| lt(hd(skaf48(X1,X2)),X3)
| ( skaf48(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf48(X1,X2)))
| ~ ssList(tl(skaf48(X1,X2)))
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(X3,X4)))
| ~ strictorderP(app(app(X0,cons(hd(skaf48(X1,X2)),tl(skaf48(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10791,c_430]) ).
tcf(c_109710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(hd(skaf48(X1,X2)),X3)
| ( skaf48(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf48(X1,X2)))
| ~ ssList(tl(skaf48(X1,X2)))
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf48(X1,X2)),tl(skaf48(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10791,c_429]) ).
tcf(c_109711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(hd(skaf48(X1,X2)),X3)
| ( skaf48(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf48(X1,X2)))
| ~ ssList(tl(skaf48(X1,X2)))
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf48(X1,X2)),tl(skaf48(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10791,c_428]) ).
tcf(c_109712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf48(X1,X2)))
| ~ ssList(tl(skaf48(X1,X2)))
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(hd(skaf48(X1,X2)),X3)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf48(X1,X2)),tl(skaf48(X1,X2)))),cons(hd(skaf48(X1,X2)),X3))) ),
inference(superposition,[status(thm)],[c_10791,c_426]) ).
tcf(c_109713,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,skaf48(X1,X2)),hd(skaf48(X1,X2)))
| ( skaf48(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf48(X1,X2)))
| ~ ssList(tl(skaf48(X1,X2)))
| ~ ssList(app(X0,cons(hd(skaf48(X1,X2)),tl(skaf48(X1,X2))))) ),
inference(superposition,[status(thm)],[c_10791,c_422]) ).
tcf(c_109714,plain,
! [X0: $i,X1: $i] :
( memberP(skaf48(X0,X1),hd(skaf48(X0,X1)))
| ( skaf48(X0,X1) = nil )
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_10791,c_385]) ).
tcf(c_109716,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( tl(skaf48(X0,X1)) = nil )
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1)))
| ( skaf48(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10791,c_21847]) ).
tcf(c_109717,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( tl(skaf48(X0,X1)) = nil )
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1)))
| ( skaf48(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10791,c_21842]) ).
tcf(c_109718,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( hd(skaf48(X0,X1)) = sk5 )
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1)))
| ( skaf48(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10791,c_21750]) ).
tcf(c_109719,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( hd(skaf48(X0,X1)) = sk6 )
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1)))
| ( skaf48(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10791,c_21745]) ).
tcf(c_109720,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( hd(skaf48(X0,X1)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf48(X0,X1))
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_10791,c_21595]) ).
tcf(c_109721,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( hd(skaf48(X0,X1)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf48(X0,X1))
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_10791,c_21590]) ).
tcf(c_109722,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( hd(skaf48(X0,X1)) = sk5 )
| ~ frontsegP(skaf48(X0,X1),iPr_def_12)
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_10791,c_21585]) ).
tcf(c_109723,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( hd(skaf48(X0,X1)) = sk6 )
| ~ frontsegP(skaf48(X0,X1),iPr_def_14)
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_10791,c_21580]) ).
tcf(c_109724,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,tl(skaf48(X0,X1)))
| ( skaf48(X0,X1) = nil )
| ~ frontsegP(iPr_def_12,skaf48(X0,X1))
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_10791,c_21202]) ).
tcf(c_109725,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,tl(skaf48(X0,X1)))
| ( skaf48(X0,X1) = nil )
| ~ frontsegP(iPr_def_14,skaf48(X0,X1))
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_10791,c_21197]) ).
tcf(c_109728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X0,X1) = nil )
| ( hd(skaf48(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1)))
| ~ frontsegP(skaf48(X0,X1),cons(X2,X3)) ),
inference(superposition,[status(thm)],[c_10791,c_423]) ).
tcf(c_109729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(tl(skaf48(X0,X1)),X3)
| ( skaf48(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1)))
| ~ frontsegP(skaf48(X0,X1),cons(X2,X3)) ),
inference(superposition,[status(thm)],[c_10791,c_421]) ).
tcf(c_109730,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(tl(skaf48(X0,X1)),X2)
| ( skaf48(X0,X1) = nil )
| ( hd(skaf48(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1)))
| ~ memberP(skaf48(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10791,c_408]) ).
tcf(c_109731,plain,
! [X0: $i,X1: $i] :
( leq(hd(skaf48(X0,X1)),hd(tl(skaf48(X0,X1))))
| ( skaf48(X0,X1) = nil )
| ( tl(skaf48(X0,X1)) = nil )
| ~ totalorderedP(skaf48(X0,X1))
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_10791,c_382]) ).
tcf(c_109732,plain,
! [X0: $i,X1: $i] :
( lt(hd(skaf48(X0,X1)),hd(tl(skaf48(X0,X1))))
| ( skaf48(X0,X1) = nil )
| ( tl(skaf48(X0,X1)) = nil )
| ~ strictorderedP(skaf48(X0,X1))
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_10791,c_381]) ).
tcf(c_109733,plain,
! [X0: $i,X1: $i] :
( totalorderedP(tl(skaf48(X0,X1)))
| ( skaf48(X0,X1) = nil )
| ( tl(skaf48(X0,X1)) = nil )
| ~ totalorderedP(skaf48(X0,X1))
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_10791,c_372]) ).
tcf(c_109734,plain,
! [X0: $i,X1: $i] :
( strictorderedP(tl(skaf48(X0,X1)))
| ( skaf48(X0,X1) = nil )
| ( tl(skaf48(X0,X1)) = nil )
| ~ strictorderedP(skaf48(X0,X1))
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_10791,c_371]) ).
tcf(c_109735,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1)))
| ( tl(skaf48(X0,X1)) != skaf48(X0,X1) ) ),
inference(superposition,[status(thm)],[c_10791,c_346]) ).
tcf(c_109737,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(cons(hd(skaf48(X1,X2)),X0),skaf48(X1,X2))
| ( skaf48(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf48(X1,X2)))
| ~ ssList(tl(skaf48(X1,X2)))
| ~ frontsegP(X0,tl(skaf48(X1,X2))) ),
inference(superposition,[status(thm)],[c_10791,c_425]) ).
tcf(c_109738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X2,X3) = nil )
| ( hd(skaf48(X2,X3)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf48(X2,X3)))
| ~ ssList(tl(skaf48(X2,X3)))
| ~ ssList(app(X0,cons(X1,skaf48(X2,X3))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf48(X2,X3)),tl(skaf48(X2,X3)))))) ),
inference(superposition,[status(thm)],[c_10791,c_427]) ).
tcf(c_109739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X2,X3) = nil )
| ( tl(skaf48(X2,X3)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf48(X2,X3)))
| ~ ssList(tl(skaf48(X2,X3)))
| ( cons(X0,X1) != skaf48(X2,X3) ) ),
inference(superposition,[status(thm)],[c_10791,c_418]) ).
tcf(c_109740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X2,X3) = nil )
| ( hd(skaf48(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf48(X2,X3)))
| ~ ssList(tl(skaf48(X2,X3)))
| ( cons(X0,X1) != skaf48(X2,X3) ) ),
inference(superposition,[status(thm)],[c_10791,c_417]) ).
tcf(c_109741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X2,X3) = nil )
| ( hd(skaf48(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf48(X2,X3)))
| ~ ssList(tl(skaf48(X2,X3)))
| ~ frontsegP(cons(X0,X1),skaf48(X2,X3)) ),
inference(superposition,[status(thm)],[c_10791,c_423]) ).
tcf(c_109742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X1,tl(skaf48(X2,X3)))
| ( skaf48(X2,X3) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf48(X2,X3)))
| ~ ssList(tl(skaf48(X2,X3)))
| ~ frontsegP(cons(X0,X1),skaf48(X2,X3)) ),
inference(superposition,[status(thm)],[c_10791,c_421]) ).
tcf(c_109743,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf48(X0,X1),cons(hd(skaf48(X0,X1)),X2))
| ( skaf48(X0,X1) = nil )
| ~ ssList(X2)
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1)))
| ~ frontsegP(tl(skaf48(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10791,c_425]) ).
tcf(c_109744,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf48(X0,X1),X2)
| ( skaf48(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssItem(hd(skaf48(X0,X1)))
| ~ ssList(tl(skaf48(X0,X1)))
| ~ memberP(tl(skaf48(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10791,c_386]) ).
tcf(c_109745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf48(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf48(X3,X4)))
| ~ ssList(tl(skaf48(X3,X4)))
| ~ leq(X1,hd(skaf48(X3,X4)))
| ~ leq(hd(skaf48(X3,X4)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf48(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf48(X3,X4)),tl(skaf48(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10791,c_432]) ).
tcf(c_109746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,hd(skaf48(X3,X4)))
| leq(hd(skaf48(X3,X4)),X1)
| ( skaf48(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf48(X3,X4)))
| ~ ssList(tl(skaf48(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf48(X3,X4)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf48(X3,X4)),tl(skaf48(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10791,c_431]) ).
tcf(c_109747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,hd(skaf48(X3,X4)))
| lt(hd(skaf48(X3,X4)),X1)
| ( skaf48(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf48(X3,X4)))
| ~ ssList(tl(skaf48(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf48(X3,X4)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf48(X3,X4)),tl(skaf48(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10791,c_430]) ).
tcf(c_109748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,hd(skaf48(X3,X4)))
| ( skaf48(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf48(X3,X4)))
| ~ ssList(tl(skaf48(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf48(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf48(X3,X4)),tl(skaf48(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10791,c_429]) ).
tcf(c_109749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,hd(skaf48(X3,X4)))
| ( skaf48(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf48(X3,X4)))
| ~ ssList(tl(skaf48(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf48(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf48(X3,X4)),tl(skaf48(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10791,c_428]) ).
tcf(c_109750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf48(X1,X2)))
| ~ ssList(tl(skaf48(X1,X2)))
| ~ ssList(app(app(X0,cons(hd(skaf48(X1,X2)),X3)),skaf48(X1,X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf48(X1,X2)),X3)),cons(hd(skaf48(X1,X2)),tl(skaf48(X1,X2))))) ),
inference(superposition,[status(thm)],[c_10791,c_426]) ).
tcf(c_110319,plain,
! [X0: $i,X1: $i] :
( cyclefreeP(X1)
| geq(X0,skaf49(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf49(X1))
| ~ ssItem(skaf50(X1))
| ~ geq(X0,skaf50(X1)) ),
inference(superposition,[status(thm)],[c_10514,c_395]) ).
tcf(c_110320,plain,
! [X0: $i] :
( cyclefreeP(X0)
| ( skaf50(X0) = skaf49(X0) )
| ~ ssList(X0)
| ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| ~ geq(skaf49(X0),skaf50(X0)) ),
inference(superposition,[status(thm)],[c_10514,c_373]) ).
tcf(c_110322,plain,
! [X0: $i] :
( cyclefreeP(X0)
| ( skaf50(X0) = skaf49(X0) )
| ~ ssList(X0)
| ~ geq(skaf49(X0),skaf50(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110320,c_293,c_292]) ).
tcf(c_110327,plain,
! [X0: $i,X1: $i] :
( cyclefreeP(X1)
| geq(X0,skaf49(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ geq(X0,skaf50(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110319,c_293,c_292]) ).
tcf(c_110339,plain,
! [X0: $i,X1: $i] :
( cyclefreeP(X1)
| geq(X0,skaf50(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf49(X1))
| ~ ssItem(skaf50(X1))
| ~ geq(X0,skaf49(X1)) ),
inference(superposition,[status(thm)],[c_10518,c_395]) ).
tcf(c_110340,plain,
! [X0: $i] :
( cyclefreeP(X0)
| ( skaf50(X0) = skaf49(X0) )
| ~ ssList(X0)
| ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| ~ geq(skaf50(X0),skaf49(X0)) ),
inference(superposition,[status(thm)],[c_10518,c_373]) ).
tcf(c_110342,plain,
! [X0: $i] :
( cyclefreeP(X0)
| ( skaf50(X0) = skaf49(X0) )
| ~ ssList(X0)
| ~ geq(skaf50(X0),skaf49(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110340,c_293,c_292]) ).
tcf(c_110347,plain,
! [X0: $i,X1: $i] :
( cyclefreeP(X1)
| geq(X0,skaf50(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ geq(X0,skaf49(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110339,c_293,c_292]) ).
tcf(c_110357,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac3,cons(sk5,sk4))))
| ( cons(skac3,cons(sk5,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac3)
| ~ strictorderedP(cons(skac3,cons(sk5,sk4)))
| ~ ssList(cons(skac3,cons(sk5,sk4))) ),
inference(superposition,[status(thm)],[c_76112,c_407]) ).
tcf(c_110358,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac3,cons(sk5,sk4))))
| ( cons(skac3,cons(sk5,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac3)
| ~ totalorderedP(cons(skac3,cons(sk5,sk4)))
| ~ ssList(cons(skac3,cons(sk5,sk4))) ),
inference(superposition,[status(thm)],[c_76112,c_406]) ).
tcf(c_110389,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac3,cons(sk6,sk4))))
| ( cons(skac3,cons(sk6,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac3)
| ~ strictorderedP(cons(skac3,cons(sk6,sk4)))
| ~ ssList(cons(skac3,cons(sk6,sk4))) ),
inference(superposition,[status(thm)],[c_76113,c_407]) ).
tcf(c_110390,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac3,cons(sk6,sk4))))
| ( cons(skac3,cons(sk6,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac3)
| ~ totalorderedP(cons(skac3,cons(sk6,sk4)))
| ~ ssList(cons(skac3,cons(sk6,sk4))) ),
inference(superposition,[status(thm)],[c_76113,c_406]) ).
tcf(c_110432,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac3,cons(sk6,sk7))))
| ( cons(skac3,cons(sk6,sk7)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac3)
| ~ strictorderedP(cons(skac3,cons(sk6,sk7)))
| ~ ssList(cons(skac3,cons(sk6,sk7))) ),
inference(superposition,[status(thm)],[c_76114,c_407]) ).
tcf(c_110433,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac3,cons(sk6,sk7))))
| ( cons(skac3,cons(sk6,sk7)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac3)
| ~ totalorderedP(cons(skac3,cons(sk6,sk7)))
| ~ ssList(cons(skac3,cons(sk6,sk7))) ),
inference(superposition,[status(thm)],[c_76114,c_406]) ).
tcf(c_110474,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_384,c_107545]) ).
tcf(c_110475,plain,
! [X0: $i] :
( frontsegP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(superposition,[status(thm)],[c_808,c_107545]) ).
tcf(c_110476,plain,
! [X0: $i] :
( frontsegP(cons(sk5,X0),sk7)
| ~ ssItem(sk5)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(X0,sk4)
| ~ ssList(cons(sk5,X0)) ),
inference(superposition,[status(thm)],[c_425,c_107545]) ).
tcf(c_110477,plain,
( frontsegP(iPr_def_12,sk7)
| ~ ssList(iPr_def_12)
| ~ ssList(sk4)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(nil,sk4) ),
inference(superposition,[status(thm)],[c_15757,c_107545]) ).
tcf(c_110478,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_107545]) ).
tcf(c_110479,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_51316,c_107545]) ).
tcf(c_110480,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_51801,c_107545]) ).
tcf(c_110481,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk4,cons(sk5,sk4))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_107545]) ).
tcf(c_110482,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_79173,c_107545]) ).
tcf(c_110483,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk4,cons(sk5,sk4))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_107545]) ).
tcf(c_110484,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk4,cons(sk5,sk4))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_107545]) ).
tcf(c_110486,plain,
( frontsegP(cons(sk5,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_67330,c_107545]) ).
tcf(c_110488,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_68249,c_107545]) ).
tcf(c_110489,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_68556,c_107545]) ).
tcf(c_110490,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_68986,c_107545]) ).
tcf(c_110491,plain,
( frontsegP(iPr_def_12,sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(nil,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110477,c_9489,c_6486]) ).
tcf(c_110495,plain,
( frontsegP(cons(sk5,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110486,c_66447]) ).
tcf(c_110498,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110482,c_79152,c_66402]) ).
tcf(c_110502,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110480,c_28938,c_66402]) ).
tcf(c_110506,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110479,c_28940,c_66402]) ).
tcf(c_110510,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110478,c_28942,c_66402]) ).
tcf(c_110514,plain,
! [X0: $i] :
( frontsegP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110475,c_66402]) ).
tcf(c_110519,plain,
! [X0: $i] :
( frontsegP(cons(sk5,X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(X0,sk4)
| ~ ssList(cons(sk5,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110476,c_6485,c_6486]) ).
tcf(c_110525,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110484,c_66402,c_79220]) ).
tcf(c_110529,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110483,c_66402,c_79223]) ).
tcf(c_110533,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110481,c_66402,c_79226]) ).
tcf(c_110537,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(cons(sk6,sk8),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110490,c_66402,c_68959]) ).
tcf(c_110541,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(cons(sk6,sk7),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110489,c_66402,c_68529]) ).
tcf(c_110545,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(cons(sk6,sk4),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110488,c_66402,c_68222]) ).
tcf(c_110549,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110474,c_66402]) ).
tcf(c_110747,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_384,c_108921]) ).
tcf(c_110748,plain,
! [X0: $i] :
( frontsegP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(superposition,[status(thm)],[c_808,c_108921]) ).
tcf(c_110749,plain,
! [X0: $i] :
( frontsegP(cons(sk5,X0),sk7)
| ~ ssItem(sk5)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(X0,sk4)
| ~ ssList(cons(sk5,X0)) ),
inference(superposition,[status(thm)],[c_425,c_108921]) ).
tcf(c_110750,plain,
( frontsegP(iPr_def_12,sk7)
| ~ ssList(iPr_def_12)
| ~ ssList(sk4)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(nil,sk4) ),
inference(superposition,[status(thm)],[c_15757,c_108921]) ).
tcf(c_110751,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_108921]) ).
tcf(c_110752,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_51316,c_108921]) ).
tcf(c_110753,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_51801,c_108921]) ).
tcf(c_110754,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk4,cons(sk5,sk4))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_108921]) ).
tcf(c_110755,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_79173,c_108921]) ).
tcf(c_110756,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk4,cons(sk5,sk4))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_108921]) ).
tcf(c_110757,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk4,cons(sk5,sk4))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_108921]) ).
tcf(c_110759,plain,
( frontsegP(cons(sk5,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_67330,c_108921]) ).
tcf(c_110761,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_68249,c_108921]) ).
tcf(c_110762,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_68556,c_108921]) ).
tcf(c_110763,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_68986,c_108921]) ).
tcf(c_110764,plain,
( frontsegP(iPr_def_12,sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(nil,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110750,c_9489,c_6486]) ).
tcf(c_110768,plain,
( frontsegP(cons(sk5,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110759,c_66447]) ).
tcf(c_110771,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110755,c_79152,c_66402]) ).
tcf(c_110775,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110753,c_28938,c_66402]) ).
tcf(c_110779,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110752,c_28940,c_66402]) ).
tcf(c_110783,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(iPr_def_14,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110751,c_28942,c_66402]) ).
tcf(c_110787,plain,
! [X0: $i] :
( frontsegP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(app(cons(sk5,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110748,c_66402]) ).
tcf(c_110792,plain,
! [X0: $i] :
( frontsegP(cons(sk5,X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(X0,sk4)
| ~ ssList(cons(sk5,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110749,c_6485,c_6486]) ).
tcf(c_110798,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110757,c_66402,c_79220]) ).
tcf(c_110802,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110756,c_66402,c_79223]) ).
tcf(c_110806,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110754,c_66402,c_79226]) ).
tcf(c_110810,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(cons(sk6,sk8),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110763,c_66402,c_68959]) ).
tcf(c_110814,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(cons(sk6,sk7),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110762,c_66402,c_68529]) ).
tcf(c_110818,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(cons(sk6,sk4),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110761,c_66402,c_68222]) ).
tcf(c_110822,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_110747,c_66402]) ).
tcf(c_110975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf47(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf47(X1,X2)))
| ~ ssList(tl(skaf47(X1,X2)))
| ~ leq(X3,hd(skaf47(X1,X2)))
| ~ leq(hd(skaf47(X1,X2)),X3)
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf47(X1,X2)),tl(skaf47(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10792,c_432]) ).
tcf(c_110976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X3,hd(skaf47(X1,X2)))
| leq(hd(skaf47(X1,X2)),X3)
| ( skaf47(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf47(X1,X2)))
| ~ ssList(tl(skaf47(X1,X2)))
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(X3,X4)))
| ~ totalorderP(app(app(X0,cons(hd(skaf47(X1,X2)),tl(skaf47(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10792,c_431]) ).
tcf(c_110977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X3,hd(skaf47(X1,X2)))
| lt(hd(skaf47(X1,X2)),X3)
| ( skaf47(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf47(X1,X2)))
| ~ ssList(tl(skaf47(X1,X2)))
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(X3,X4)))
| ~ strictorderP(app(app(X0,cons(hd(skaf47(X1,X2)),tl(skaf47(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10792,c_430]) ).
tcf(c_110978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(hd(skaf47(X1,X2)),X3)
| ( skaf47(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf47(X1,X2)))
| ~ ssList(tl(skaf47(X1,X2)))
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf47(X1,X2)),tl(skaf47(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10792,c_429]) ).
tcf(c_110979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(hd(skaf47(X1,X2)),X3)
| ( skaf47(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf47(X1,X2)))
| ~ ssList(tl(skaf47(X1,X2)))
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf47(X1,X2)),tl(skaf47(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10792,c_428]) ).
tcf(c_110980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf47(X1,X2)))
| ~ ssList(tl(skaf47(X1,X2)))
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(hd(skaf47(X1,X2)),X3)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf47(X1,X2)),tl(skaf47(X1,X2)))),cons(hd(skaf47(X1,X2)),X3))) ),
inference(superposition,[status(thm)],[c_10792,c_426]) ).
tcf(c_110981,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,skaf47(X1,X2)),hd(skaf47(X1,X2)))
| ( skaf47(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf47(X1,X2)))
| ~ ssList(tl(skaf47(X1,X2)))
| ~ ssList(app(X0,cons(hd(skaf47(X1,X2)),tl(skaf47(X1,X2))))) ),
inference(superposition,[status(thm)],[c_10792,c_422]) ).
tcf(c_110982,plain,
! [X0: $i,X1: $i] :
( memberP(skaf47(X0,X1),hd(skaf47(X0,X1)))
| ( skaf47(X0,X1) = nil )
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_10792,c_385]) ).
tcf(c_110984,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( tl(skaf47(X0,X1)) = nil )
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1)))
| ( skaf47(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10792,c_21847]) ).
tcf(c_110985,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( tl(skaf47(X0,X1)) = nil )
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1)))
| ( skaf47(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10792,c_21842]) ).
tcf(c_110986,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( hd(skaf47(X0,X1)) = sk5 )
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1)))
| ( skaf47(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10792,c_21750]) ).
tcf(c_110987,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( hd(skaf47(X0,X1)) = sk6 )
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1)))
| ( skaf47(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10792,c_21745]) ).
tcf(c_110988,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( hd(skaf47(X0,X1)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf47(X0,X1))
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_10792,c_21595]) ).
tcf(c_110989,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( hd(skaf47(X0,X1)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf47(X0,X1))
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_10792,c_21590]) ).
tcf(c_110990,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( hd(skaf47(X0,X1)) = sk5 )
| ~ frontsegP(skaf47(X0,X1),iPr_def_12)
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_10792,c_21585]) ).
tcf(c_110991,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( hd(skaf47(X0,X1)) = sk6 )
| ~ frontsegP(skaf47(X0,X1),iPr_def_14)
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_10792,c_21580]) ).
tcf(c_110992,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,tl(skaf47(X0,X1)))
| ( skaf47(X0,X1) = nil )
| ~ frontsegP(iPr_def_12,skaf47(X0,X1))
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_10792,c_21202]) ).
tcf(c_110993,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,tl(skaf47(X0,X1)))
| ( skaf47(X0,X1) = nil )
| ~ frontsegP(iPr_def_14,skaf47(X0,X1))
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_10792,c_21197]) ).
tcf(c_110996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X0,X1) = nil )
| ( hd(skaf47(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1)))
| ~ frontsegP(skaf47(X0,X1),cons(X2,X3)) ),
inference(superposition,[status(thm)],[c_10792,c_423]) ).
tcf(c_110997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(tl(skaf47(X0,X1)),X3)
| ( skaf47(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1)))
| ~ frontsegP(skaf47(X0,X1),cons(X2,X3)) ),
inference(superposition,[status(thm)],[c_10792,c_421]) ).
tcf(c_110998,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(tl(skaf47(X0,X1)),X2)
| ( skaf47(X0,X1) = nil )
| ( hd(skaf47(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1)))
| ~ memberP(skaf47(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10792,c_408]) ).
tcf(c_110999,plain,
! [X0: $i,X1: $i] :
( leq(hd(skaf47(X0,X1)),hd(tl(skaf47(X0,X1))))
| ( skaf47(X0,X1) = nil )
| ( tl(skaf47(X0,X1)) = nil )
| ~ totalorderedP(skaf47(X0,X1))
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_10792,c_382]) ).
tcf(c_111000,plain,
! [X0: $i,X1: $i] :
( lt(hd(skaf47(X0,X1)),hd(tl(skaf47(X0,X1))))
| ( skaf47(X0,X1) = nil )
| ( tl(skaf47(X0,X1)) = nil )
| ~ strictorderedP(skaf47(X0,X1))
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_10792,c_381]) ).
tcf(c_111001,plain,
! [X0: $i,X1: $i] :
( totalorderedP(tl(skaf47(X0,X1)))
| ( skaf47(X0,X1) = nil )
| ( tl(skaf47(X0,X1)) = nil )
| ~ totalorderedP(skaf47(X0,X1))
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_10792,c_372]) ).
tcf(c_111002,plain,
! [X0: $i,X1: $i] :
( strictorderedP(tl(skaf47(X0,X1)))
| ( skaf47(X0,X1) = nil )
| ( tl(skaf47(X0,X1)) = nil )
| ~ strictorderedP(skaf47(X0,X1))
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_10792,c_371]) ).
tcf(c_111003,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1)))
| ( tl(skaf47(X0,X1)) != skaf47(X0,X1) ) ),
inference(superposition,[status(thm)],[c_10792,c_346]) ).
tcf(c_111005,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(cons(hd(skaf47(X1,X2)),X0),skaf47(X1,X2))
| ( skaf47(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf47(X1,X2)))
| ~ ssList(tl(skaf47(X1,X2)))
| ~ frontsegP(X0,tl(skaf47(X1,X2))) ),
inference(superposition,[status(thm)],[c_10792,c_425]) ).
tcf(c_111006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X2,X3) = nil )
| ( hd(skaf47(X2,X3)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf47(X2,X3)))
| ~ ssList(tl(skaf47(X2,X3)))
| ~ ssList(app(X0,cons(X1,skaf47(X2,X3))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf47(X2,X3)),tl(skaf47(X2,X3)))))) ),
inference(superposition,[status(thm)],[c_10792,c_427]) ).
tcf(c_111007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X2,X3) = nil )
| ( tl(skaf47(X2,X3)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf47(X2,X3)))
| ~ ssList(tl(skaf47(X2,X3)))
| ( cons(X0,X1) != skaf47(X2,X3) ) ),
inference(superposition,[status(thm)],[c_10792,c_418]) ).
tcf(c_111008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X2,X3) = nil )
| ( hd(skaf47(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf47(X2,X3)))
| ~ ssList(tl(skaf47(X2,X3)))
| ( cons(X0,X1) != skaf47(X2,X3) ) ),
inference(superposition,[status(thm)],[c_10792,c_417]) ).
tcf(c_111009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X2,X3) = nil )
| ( hd(skaf47(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf47(X2,X3)))
| ~ ssList(tl(skaf47(X2,X3)))
| ~ frontsegP(cons(X0,X1),skaf47(X2,X3)) ),
inference(superposition,[status(thm)],[c_10792,c_423]) ).
tcf(c_111010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X1,tl(skaf47(X2,X3)))
| ( skaf47(X2,X3) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf47(X2,X3)))
| ~ ssList(tl(skaf47(X2,X3)))
| ~ frontsegP(cons(X0,X1),skaf47(X2,X3)) ),
inference(superposition,[status(thm)],[c_10792,c_421]) ).
tcf(c_111011,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf47(X0,X1),cons(hd(skaf47(X0,X1)),X2))
| ( skaf47(X0,X1) = nil )
| ~ ssList(X2)
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1)))
| ~ frontsegP(tl(skaf47(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10792,c_425]) ).
tcf(c_111012,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf47(X0,X1),X2)
| ( skaf47(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssItem(hd(skaf47(X0,X1)))
| ~ ssList(tl(skaf47(X0,X1)))
| ~ memberP(tl(skaf47(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10792,c_386]) ).
tcf(c_111013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf47(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf47(X3,X4)))
| ~ ssList(tl(skaf47(X3,X4)))
| ~ leq(X1,hd(skaf47(X3,X4)))
| ~ leq(hd(skaf47(X3,X4)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf47(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf47(X3,X4)),tl(skaf47(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10792,c_432]) ).
tcf(c_111014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,hd(skaf47(X3,X4)))
| leq(hd(skaf47(X3,X4)),X1)
| ( skaf47(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf47(X3,X4)))
| ~ ssList(tl(skaf47(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf47(X3,X4)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf47(X3,X4)),tl(skaf47(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10792,c_431]) ).
tcf(c_111015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,hd(skaf47(X3,X4)))
| lt(hd(skaf47(X3,X4)),X1)
| ( skaf47(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf47(X3,X4)))
| ~ ssList(tl(skaf47(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf47(X3,X4)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf47(X3,X4)),tl(skaf47(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10792,c_430]) ).
tcf(c_111016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,hd(skaf47(X3,X4)))
| ( skaf47(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf47(X3,X4)))
| ~ ssList(tl(skaf47(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf47(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf47(X3,X4)),tl(skaf47(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10792,c_429]) ).
tcf(c_111017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,hd(skaf47(X3,X4)))
| ( skaf47(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf47(X3,X4)))
| ~ ssList(tl(skaf47(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf47(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf47(X3,X4)),tl(skaf47(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10792,c_428]) ).
tcf(c_111018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf47(X1,X2)))
| ~ ssList(tl(skaf47(X1,X2)))
| ~ ssList(app(app(X0,cons(hd(skaf47(X1,X2)),X3)),skaf47(X1,X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf47(X1,X2)),X3)),cons(hd(skaf47(X1,X2)),tl(skaf47(X1,X2))))) ),
inference(superposition,[status(thm)],[c_10792,c_426]) ).
tcf(c_111499,plain,
hd(app(iPr_def_14,sk4)) = sk6,
inference(superposition,[status(thm)],[c_6486,c_11940]) ).
tcf(c_111500,plain,
hd(app(iPr_def_14,sk7)) = sk6,
inference(superposition,[status(thm)],[c_6483,c_11940]) ).
tcf(c_111501,plain,
hd(app(iPr_def_14,sk8)) = sk6,
inference(superposition,[status(thm)],[c_6482,c_11940]) ).
tcf(c_111502,plain,
hd(app(iPr_def_14,nil)) = sk6,
inference(superposition,[status(thm)],[c_255,c_11940]) ).
tcf(c_111503,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf82(X0))) = sk6,
inference(superposition,[status(thm)],[c_260,c_11940]) ).
tcf(c_111504,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf81(X0))) = sk6,
inference(superposition,[status(thm)],[c_261,c_11940]) ).
tcf(c_111505,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf80(X0))) = sk6,
inference(superposition,[status(thm)],[c_262,c_11940]) ).
tcf(c_111506,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf77(X0))) = sk6,
inference(superposition,[status(thm)],[c_265,c_11940]) ).
tcf(c_111507,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf76(X0))) = sk6,
inference(superposition,[status(thm)],[c_266,c_11940]) ).
tcf(c_111508,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf75(X0))) = sk6,
inference(superposition,[status(thm)],[c_267,c_11940]) ).
tcf(c_111509,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf73(X0))) = sk6,
inference(superposition,[status(thm)],[c_269,c_11940]) ).
tcf(c_111510,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf72(X0))) = sk6,
inference(superposition,[status(thm)],[c_270,c_11940]) ).
tcf(c_111511,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf71(X0))) = sk6,
inference(superposition,[status(thm)],[c_271,c_11940]) ).
tcf(c_111512,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf68(X0))) = sk6,
inference(superposition,[status(thm)],[c_274,c_11940]) ).
tcf(c_111513,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf67(X0))) = sk6,
inference(superposition,[status(thm)],[c_275,c_11940]) ).
tcf(c_111514,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf66(X0))) = sk6,
inference(superposition,[status(thm)],[c_276,c_11940]) ).
tcf(c_111515,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf63(X0))) = sk6,
inference(superposition,[status(thm)],[c_279,c_11940]) ).
tcf(c_111516,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf62(X0))) = sk6,
inference(superposition,[status(thm)],[c_280,c_11940]) ).
tcf(c_111517,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf61(X0))) = sk6,
inference(superposition,[status(thm)],[c_281,c_11940]) ).
tcf(c_111518,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf58(X0))) = sk6,
inference(superposition,[status(thm)],[c_284,c_11940]) ).
tcf(c_111519,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf57(X0))) = sk6,
inference(superposition,[status(thm)],[c_285,c_11940]) ).
tcf(c_111520,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf56(X0))) = sk6,
inference(superposition,[status(thm)],[c_286,c_11940]) ).
tcf(c_111521,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf53(X0))) = sk6,
inference(superposition,[status(thm)],[c_289,c_11940]) ).
tcf(c_111522,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf52(X0))) = sk6,
inference(superposition,[status(thm)],[c_290,c_11940]) ).
tcf(c_111523,plain,
! [X0: $i] : hd(app(iPr_def_14,skaf51(X0))) = sk6,
inference(superposition,[status(thm)],[c_291,c_11940]) ).
tcf(c_111524,plain,
! [X0: $i,X1: $i] : hd(app(iPr_def_14,skaf48(X0,X1))) = sk6,
inference(superposition,[status(thm)],[c_295,c_11940]) ).
tcf(c_111525,plain,
! [X0: $i,X1: $i] : hd(app(iPr_def_14,skaf47(X0,X1))) = sk6,
inference(superposition,[status(thm)],[c_296,c_11940]) ).
tcf(c_111526,plain,
! [X0: $i,X1: $i] : hd(app(iPr_def_14,skaf46(X0,X1))) = sk6,
inference(superposition,[status(thm)],[c_297,c_11940]) ).
tcf(c_111527,plain,
! [X0: $i,X1: $i] : hd(app(iPr_def_14,skaf45(X0,X1))) = sk6,
inference(superposition,[status(thm)],[c_298,c_11940]) ).
tcf(c_111528,plain,
! [X0: $i,X1: $i] : hd(app(iPr_def_14,skaf43(X0,X1))) = sk6,
inference(superposition,[status(thm)],[c_299,c_11940]) ).
tcf(c_111529,plain,
! [X0: $i,X1: $i] : hd(app(iPr_def_14,skaf42(X0,X1))) = sk6,
inference(superposition,[status(thm)],[c_300,c_11940]) ).
tcf(c_111530,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_14,tl(X0))) = sk6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_11940]) ).
tcf(c_111531,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_14,app(X1,X0))) = sk6 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_11940]) ).
tcf(c_111532,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_14,cons(X1,X0))) = sk6 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_11940]) ).
tcf(c_111533,plain,
hd(app(iPr_def_14,iPr_def_16)) = sk6,
inference(superposition,[status(thm)],[c_9020,c_11940]) ).
tcf(c_111534,plain,
hd(app(iPr_def_14,iPr_def_13)) = sk6,
inference(superposition,[status(thm)],[c_9527,c_11940]) ).
tcf(c_111535,plain,
hd(app(iPr_def_14,iPr_def_12)) = sk6,
inference(superposition,[status(thm)],[c_9489,c_11940]) ).
tcf(c_111536,plain,
hd(app(iPr_def_14,iPr_def_15)) = sk6,
inference(superposition,[status(thm)],[c_24748,c_11940]) ).
tcf(c_111537,plain,
hd(app(iPr_def_14,iPr_def_14)) = sk6,
inference(superposition,[status(thm)],[c_9488,c_11940]) ).
tcf(c_111538,plain,
hd(app(iPr_def_14,cons(sk5,sk4))) = sk6,
inference(superposition,[status(thm)],[c_66402,c_11940]) ).
tcf(c_111539,plain,
hd(app(iPr_def_14,cons(sk6,sk4))) = sk6,
inference(superposition,[status(thm)],[c_28942,c_11940]) ).
tcf(c_111540,plain,
hd(app(iPr_def_14,cons(sk6,sk7))) = sk6,
inference(superposition,[status(thm)],[c_28940,c_11940]) ).
tcf(c_111541,plain,
hd(app(iPr_def_14,cons(sk6,sk8))) = sk6,
inference(superposition,[status(thm)],[c_28938,c_11940]) ).
tcf(c_111542,plain,
hd(app(iPr_def_14,app(sk4,sk4))) = sk6,
inference(superposition,[status(thm)],[c_79152,c_11940]) ).
tcf(c_111543,plain,
hd(app(iPr_def_14,app(sk7,sk4))) = sk6,
inference(superposition,[status(thm)],[c_89458,c_11940]) ).
tcf(c_111544,plain,
hd(app(iPr_def_14,app(sk4,app(sk4,sk4)))) = sk6,
inference(superposition,[status(thm)],[c_79226,c_11940]) ).
tcf(c_111545,plain,
hd(app(iPr_def_14,app(sk4,app(sk4,sk7)))) = sk6,
inference(superposition,[status(thm)],[c_79223,c_11940]) ).
tcf(c_111546,plain,
hd(app(iPr_def_14,app(sk4,app(sk4,sk8)))) = sk6,
inference(superposition,[status(thm)],[c_79220,c_11940]) ).
tcf(c_111547,plain,
hd(app(iPr_def_14,app(sk7,app(sk4,sk4)))) = sk6,
inference(superposition,[status(thm)],[c_89541,c_11940]) ).
tcf(c_111548,plain,
hd(app(iPr_def_14,app(sk7,app(sk4,sk7)))) = sk6,
inference(superposition,[status(thm)],[c_89538,c_11940]) ).
tcf(c_111549,plain,
hd(app(iPr_def_14,app(sk7,app(sk4,sk8)))) = sk6,
inference(superposition,[status(thm)],[c_89535,c_11940]) ).
tcf(c_111550,plain,
( ( hd(app(iPr_def_14,app(sk8,app(sk4,sk4)))) = sk6 )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43049,c_11940]) ).
tcf(c_111551,plain,
( ( hd(app(iPr_def_14,app(sk8,app(sk4,sk7)))) = sk6 )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_43780,c_11940]) ).
tcf(c_111552,plain,
( ( hd(app(iPr_def_14,app(sk8,app(sk4,sk8)))) = sk6 )
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_44206,c_11940]) ).
tcf(c_111553,plain,
( ( hd(app(iPr_def_14,app(sk4,app(sk7,sk4)))) = sk6 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_11940]) ).
tcf(c_111554,plain,
( ( hd(app(iPr_def_14,app(sk4,app(sk7,sk7)))) = sk6 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_11940]) ).
tcf(c_111555,plain,
( ( hd(app(iPr_def_14,app(sk4,app(sk7,sk8)))) = sk6 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_11940]) ).
tcf(c_111556,plain,
( ( hd(app(iPr_def_14,app(sk7,app(sk7,sk4)))) = sk6 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_11940]) ).
tcf(c_111557,plain,
( ( hd(app(iPr_def_14,app(sk7,app(sk7,sk7)))) = sk6 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_11940]) ).
tcf(c_111558,plain,
( ( hd(app(iPr_def_14,app(sk7,app(sk7,sk8)))) = sk6 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_11940]) ).
tcf(c_111559,plain,
( ( hd(app(iPr_def_14,app(sk8,app(sk7,sk4)))) = sk6 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_11940]) ).
tcf(c_111560,plain,
( ( hd(app(iPr_def_14,app(sk8,app(sk7,sk7)))) = sk6 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_11940]) ).
tcf(c_111561,plain,
( ( hd(app(iPr_def_14,app(sk8,app(sk7,sk8)))) = sk6 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_11940]) ).
tcf(c_111562,plain,
( ( hd(app(iPr_def_14,app(sk4,app(sk8,sk4)))) = sk6 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_11940]) ).
tcf(c_111563,plain,
( ( hd(app(iPr_def_14,app(sk4,app(sk8,sk7)))) = sk6 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_11940]) ).
tcf(c_111564,plain,
( ( hd(app(iPr_def_14,app(sk4,app(sk8,sk8)))) = sk6 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_11940]) ).
tcf(c_111565,plain,
( ( hd(app(iPr_def_14,app(sk7,app(sk8,sk4)))) = sk6 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_11940]) ).
tcf(c_111566,plain,
( ( hd(app(iPr_def_14,app(sk7,app(sk8,sk7)))) = sk6 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_11940]) ).
tcf(c_111567,plain,
( ( hd(app(iPr_def_14,app(sk7,app(sk8,sk8)))) = sk6 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_11940]) ).
tcf(c_111568,plain,
( ( hd(app(iPr_def_14,app(sk8,app(sk8,sk4)))) = sk6 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_11940]) ).
tcf(c_111569,plain,
( ( hd(app(iPr_def_14,app(sk8,app(sk8,sk7)))) = sk6 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_11940]) ).
tcf(c_111570,plain,
( ( hd(app(iPr_def_14,app(sk8,app(sk8,sk8)))) = sk6 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_11940]) ).
tcf(c_111571,plain,
hd(app(iPr_def_14,cons(sk5,app(sk4,sk4)))) = sk6,
inference(superposition,[status(thm)],[c_66447,c_11940]) ).
tcf(c_111572,plain,
( ( hd(app(iPr_def_14,cons(sk5,app(sk7,sk4)))) = sk6 )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_11940]) ).
tcf(c_111573,plain,
( ( hd(app(iPr_def_14,cons(sk5,app(sk8,sk4)))) = sk6 )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_11940]) ).
tcf(c_111574,plain,
hd(app(iPr_def_14,cons(sk6,app(sk4,sk4)))) = sk6,
inference(superposition,[status(thm)],[c_68222,c_11940]) ).
tcf(c_111575,plain,
hd(app(iPr_def_14,cons(sk6,app(sk7,sk4)))) = sk6,
inference(superposition,[status(thm)],[c_68529,c_11940]) ).
tcf(c_111576,plain,
hd(app(iPr_def_14,cons(sk6,app(sk8,sk4)))) = sk6,
inference(superposition,[status(thm)],[c_68959,c_11940]) ).
tcf(c_112186,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_14,iPr_def_16)))
| ( app(iPr_def_14,iPr_def_16) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(app(iPr_def_14,iPr_def_16))
| ~ ssList(app(iPr_def_14,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_111533,c_407]) ).
tcf(c_112187,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_14,iPr_def_16)))
| ( app(iPr_def_14,iPr_def_16) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(app(iPr_def_14,iPr_def_16))
| ~ ssList(app(iPr_def_14,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_111533,c_406]) ).
tcf(c_112205,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf82(X0))))
| ( app(iPr_def_14,skaf82(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf82(X0)))
| ~ ssList(app(iPr_def_14,skaf82(X0))) ),
inference(superposition,[status(thm)],[c_111503,c_407]) ).
tcf(c_112206,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf82(X0))))
| ( app(iPr_def_14,skaf82(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf82(X0)))
| ~ ssList(app(iPr_def_14,skaf82(X0))) ),
inference(superposition,[status(thm)],[c_111503,c_406]) ).
tcf(c_112222,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf81(X0))))
| ( app(iPr_def_14,skaf81(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf81(X0)))
| ~ ssList(app(iPr_def_14,skaf81(X0))) ),
inference(superposition,[status(thm)],[c_111504,c_407]) ).
tcf(c_112223,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf81(X0))))
| ( app(iPr_def_14,skaf81(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf81(X0)))
| ~ ssList(app(iPr_def_14,skaf81(X0))) ),
inference(superposition,[status(thm)],[c_111504,c_406]) ).
tcf(c_112239,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_14,iPr_def_13)))
| ( app(iPr_def_14,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(app(iPr_def_14,iPr_def_13))
| ~ ssList(app(iPr_def_14,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_111534,c_407]) ).
tcf(c_112240,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_14,iPr_def_13)))
| ( app(iPr_def_14,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(app(iPr_def_14,iPr_def_13))
| ~ ssList(app(iPr_def_14,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_111534,c_406]) ).
tcf(c_112256,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_14,iPr_def_12)))
| ( app(iPr_def_14,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(app(iPr_def_14,iPr_def_12))
| ~ ssList(app(iPr_def_14,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_111535,c_407]) ).
tcf(c_112257,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_14,iPr_def_12)))
| ( app(iPr_def_14,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(app(iPr_def_14,iPr_def_12))
| ~ ssList(app(iPr_def_14,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_111535,c_406]) ).
tcf(c_112273,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_14,iPr_def_15)))
| ( app(iPr_def_14,iPr_def_15) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(app(iPr_def_14,iPr_def_15))
| ~ ssList(app(iPr_def_14,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_111536,c_407]) ).
tcf(c_112274,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_14,iPr_def_15)))
| ( app(iPr_def_14,iPr_def_15) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(app(iPr_def_14,iPr_def_15))
| ~ ssList(app(iPr_def_14,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_111536,c_406]) ).
tcf(c_112305,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_14,iPr_def_14)))
| ( app(iPr_def_14,iPr_def_14) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(app(iPr_def_14,iPr_def_14))
| ~ ssList(app(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_111537,c_407]) ).
tcf(c_112306,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_14,iPr_def_14)))
| ( app(iPr_def_14,iPr_def_14) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(app(iPr_def_14,iPr_def_14))
| ~ ssList(app(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_111537,c_406]) ).
tcf(c_112347,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_383,c_108941]) ).
tcf(c_112348,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk5,sk4)),sk8)
| ~ ssList(X0)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(X0,cons(sk5,sk4))) ),
inference(superposition,[status(thm)],[c_807,c_108941]) ).
tcf(c_112350,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk7,cons(sk5,sk4))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_82342,c_108941]) ).
tcf(c_112353,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk7,cons(sk5,sk4))
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106791,c_108941]) ).
tcf(c_112359,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk5,sk4)),sk8)
| ~ ssList(X0)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(app(X0,cons(sk5,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112348,c_66402]) ).
tcf(c_112364,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112353,c_66402,c_89538]) ).
tcf(c_112368,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112350,c_66402,c_79223]) ).
tcf(c_112372,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112347,c_66402]) ).
tcf(c_112396,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk7,sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_68893,c_68893,c_89458]) ).
tcf(c_112406,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_384,c_112396]) ).
tcf(c_112407,plain,
! [X0: $i] :
( frontsegP(app(app(sk7,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(app(sk7,sk4),X0)) ),
inference(superposition,[status(thm)],[c_808,c_112396]) ).
tcf(c_112408,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(iPr_def_14,app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_112396]) ).
tcf(c_112409,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(iPr_def_14,app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_51316,c_112396]) ).
tcf(c_112410,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(iPr_def_14,app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_51801,c_112396]) ).
tcf(c_112411,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(sk4,app(sk7,sk4))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_112396]) ).
tcf(c_112412,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk4,app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_79173,c_112396]) ).
tcf(c_112413,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(sk4,app(sk7,sk4))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_112396]) ).
tcf(c_112414,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(sk4,app(sk7,sk4))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_112396]) ).
tcf(c_112415,plain,
( frontsegP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_89539,c_112396]) ).
tcf(c_112417,plain,
( frontsegP(app(sk7,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_89536,c_112396]) ).
tcf(c_112418,plain,
( frontsegP(app(sk7,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_89533,c_112396]) ).
tcf(c_112419,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_112396]) ).
tcf(c_112420,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_68249,c_112396]) ).
tcf(c_112421,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_68556,c_112396]) ).
tcf(c_112422,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_68986,c_112396]) ).
tcf(c_112423,plain,
frontsegP(app(sk7,app(sk4,sk8)),sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_112418,c_89535]) ).
tcf(c_112424,plain,
frontsegP(app(sk7,app(sk4,sk7)),sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_112417,c_89538]) ).
tcf(c_112425,plain,
frontsegP(app(sk7,app(sk4,sk4)),sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_112415,c_89541]) ).
tcf(c_112426,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_12,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112419,c_89458,c_66402]) ).
tcf(c_112429,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(sk4,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112412,c_89458,c_79152]) ).
tcf(c_112432,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(iPr_def_14,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112410,c_89458,c_28938]) ).
tcf(c_112435,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(iPr_def_14,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112409,c_89458,c_28940]) ).
tcf(c_112438,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(iPr_def_14,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112408,c_89458,c_28942]) ).
tcf(c_112441,plain,
! [X0: $i] :
( frontsegP(app(app(sk7,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(app(sk7,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112407,c_89458]) ).
tcf(c_112445,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(sk4,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112414,c_89458,c_79220]) ).
tcf(c_112448,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112413,c_89458,c_79223]) ).
tcf(c_112451,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112411,c_89458,c_79226]) ).
tcf(c_112454,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk8),app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112422,c_89458,c_68959]) ).
tcf(c_112457,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk7),app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112421,c_89458,c_68529]) ).
tcf(c_112460,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk4),app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112420,c_89458,c_68222]) ).
tcf(c_112463,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112406,c_89458]) ).
tcf(c_112705,plain,
( ( app(sk8,skaf45(app(sk8,sk4),sk8)) = app(sk8,sk4) )
| ~ ssList(sk8)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_332,c_69749]) ).
tcf(c_112706,plain,
app(sk8,skaf45(app(sk8,sk4),sk8)) = app(sk8,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_112705,c_6482,c_6486]) ).
tcf(c_112708,plain,
( ssList(app(sk8,sk4))
| ~ ssList(sk8)
| ~ ssList(skaf45(app(sk8,sk4),sk8)) ),
inference(superposition,[status(thm)],[c_112706,c_332]) ).
tcf(c_112709,plain,
! [X0: $i] :
( segmentP(app(app(sk8,sk4),X0),skaf45(app(sk8,sk4),sk8))
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,sk4),sk8))
| ~ ssList(app(app(sk8,skaf45(app(sk8,sk4),sk8)),X0)) ),
inference(superposition,[status(thm)],[c_112706,c_420]) ).
tcf(c_112710,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,sk4),sk8))
| ( app(X0,skaf45(app(sk8,sk4),sk8)) != app(sk8,sk4) ) ),
inference(superposition,[status(thm)],[c_112706,c_398]) ).
tcf(c_112712,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf45(app(sk8,sk4),sk8),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(app(sk8,sk4),X0)
| ~ ssList(skaf45(app(sk8,sk4),sk8)) ),
inference(superposition,[status(thm)],[c_112706,c_405]) ).
tcf(c_112713,plain,
( ( skaf45(app(sk8,sk4),sk8) = nil )
| ~ ssList(sk8)
| ~ ssList(skaf45(app(sk8,sk4),sk8))
| ( app(sk8,sk4) != nil ) ),
inference(superposition,[status(thm)],[c_112706,c_366]) ).
tcf(c_112714,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(skaf45(app(sk8,sk4),sk8))
| ( app(sk8,sk4) != nil ) ),
inference(superposition,[status(thm)],[c_112706,c_365]) ).
tcf(c_112715,plain,
( frontsegP(app(sk8,sk4),sk8)
| ~ ssList(sk8)
| ~ ssList(skaf45(app(sk8,sk4),sk8)) ),
inference(superposition,[status(thm)],[c_112706,c_808]) ).
tcf(c_112716,plain,
( rearsegP(app(sk8,sk4),skaf45(app(sk8,sk4),sk8))
| ~ ssList(sk8)
| ~ ssList(skaf45(app(sk8,sk4),sk8)) ),
inference(superposition,[status(thm)],[c_112706,c_807]) ).
tcf(c_112717,plain,
! [X0: $i] :
( memberP(app(sk8,sk4),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(skaf45(app(sk8,sk4),sk8))
| ~ memberP(skaf45(app(sk8,sk4),sk8),X0) ),
inference(superposition,[status(thm)],[c_112706,c_388]) ).
tcf(c_112718,plain,
! [X0: $i] :
( rearsegP(app(sk8,sk4),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,sk4),sk8))
| ~ rearsegP(skaf45(app(sk8,sk4),sk8),X0) ),
inference(superposition,[status(thm)],[c_112706,c_383]) ).
tcf(c_112719,plain,
! [X0: $i] :
( ( skaf45(app(sk8,sk4),sk8) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,sk4),sk8))
| ( app(sk8,X0) != app(sk8,sk4) ) ),
inference(superposition,[status(thm)],[c_112706,c_397]) ).
tcf(c_112720,plain,
! [X0: $i] :
( memberP(app(sk8,sk4),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(skaf45(app(sk8,sk4),sk8)) ),
inference(superposition,[status(thm)],[c_112706,c_387]) ).
tcf(c_112721,plain,
! [X0: $i] :
( frontsegP(app(sk8,sk4),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ frontsegP(sk8,X0)
| ~ ssList(skaf45(app(sk8,sk4),sk8)) ),
inference(superposition,[status(thm)],[c_112706,c_384]) ).
tcf(c_112722,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,sk4),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,sk4),sk8))
| ~ segmentP(skaf45(app(sk8,sk4),sk8),X0) ),
inference(superposition,[status(thm)],[c_112706,c_419]) ).
tcf(c_112723,plain,
( ( skaf45(app(sk8,sk4),sk8) = nil )
| ~ ssList(skaf45(app(sk8,sk4),sk8))
| ( app(sk8,sk4) != sk8 ) ),
inference(superposition,[status(thm)],[c_112706,c_17070]) ).
tcf(c_112724,plain,
( segmentP(app(sk8,sk4),sk8)
| ~ ssList(skaf45(app(sk8,sk4),sk8))
| ~ ssList(app(sk8,skaf45(app(sk8,sk4),sk8))) ),
inference(superposition,[status(thm)],[c_112706,c_20764]) ).
tcf(c_112725,plain,
! [X0: $i] :
( segmentP(app(sk8,sk4),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(skaf45(app(sk8,sk4),sk8)) ),
inference(superposition,[status(thm)],[c_112706,c_20305]) ).
tcf(c_112726,plain,
! [X0: $i] :
( segmentP(app(sk8,sk4),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(skaf45(app(sk8,sk4),sk8)) ),
inference(superposition,[status(thm)],[c_112706,c_20285]) ).
tcf(c_112727,plain,
ssList(app(sk8,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_112708,c_6482,c_298]) ).
tcf(c_112728,plain,
frontsegP(app(sk8,sk4),sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_112715,c_6482,c_298]) ).
tcf(c_112729,plain,
! [X0: $i] :
( segmentP(app(sk8,sk4),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112726,c_298]) ).
tcf(c_112733,plain,
! [X0: $i] :
( segmentP(app(sk8,sk4),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112725,c_298]) ).
tcf(c_112737,plain,
rearsegP(app(sk8,sk4),skaf45(app(sk8,sk4),sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_112716,c_6482,c_298]) ).
tcf(c_112738,plain,
( segmentP(app(sk8,sk4),sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(skaf45(app(sk8,sk4),sk8)) ),
inference(light_normalisation,[status(thm)],[c_112724,c_112706]) ).
tcf(c_112739,plain,
( segmentP(app(sk8,sk4),sk8)
| ~ ssList(app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112738,c_298]) ).
tcf(c_112742,plain,
( ( sk8 = nil )
| ( app(sk8,sk4) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112714,c_6482,c_298]) ).
tcf(c_112745,plain,
( ( skaf45(app(sk8,sk4),sk8) = nil )
| ( app(sk8,sk4) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112723,c_298]) ).
tcf(c_112748,plain,
! [X0: $i] :
( frontsegP(app(sk8,sk4),X0)
| ~ ssList(X0)
| ~ frontsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112721,c_6482,c_298]) ).
tcf(c_112752,plain,
! [X0: $i] :
( memberP(app(sk8,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112720,c_6482,c_298]) ).
tcf(c_112756,plain,
( ( skaf45(app(sk8,sk4),sk8) = nil )
| ( app(sk8,sk4) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112713,c_6482,c_298]) ).
tcf(c_112759,plain,
! [X0: $i] :
( rearsegP(app(sk8,sk4),X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(app(sk8,sk4),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112718,c_6482,c_298]) ).
tcf(c_112763,plain,
! [X0: $i] :
( memberP(app(sk8,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(app(sk8,sk4),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112717,c_6482,c_298]) ).
tcf(c_112767,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf45(app(sk8,sk4),sk8),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk8,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112712,c_6482,c_298]) ).
tcf(c_112772,plain,
! [X0: $i] :
( ( skaf45(app(sk8,sk4),sk8) = X0 )
| ~ ssList(X0)
| ( app(sk8,X0) != app(sk8,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112719,c_6482,c_298]) ).
tcf(c_112776,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ( app(X0,skaf45(app(sk8,sk4),sk8)) != app(sk8,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112710,c_6482,c_298]) ).
tcf(c_112780,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,sk4),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(app(sk8,sk4),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112722,c_6482,c_298]) ).
tcf(c_112785,plain,
! [X0: $i] :
( segmentP(app(app(sk8,sk4),X0),skaf45(app(sk8,sk4),sk8))
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,sk4),sk8))
| ~ ssList(app(app(sk8,sk4),X0)) ),
inference(light_normalisation,[status(thm)],[c_112709,c_112706]) ).
tcf(c_112786,plain,
! [X0: $i] :
( segmentP(app(app(sk8,sk4),X0),skaf45(app(sk8,sk4),sk8))
| ~ ssList(X0)
| ~ ssList(app(app(sk8,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112785,c_6482,c_298]) ).
tcf(c_112790,plain,
~ frontsegP(cons(sk6,sk8),iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_73855,c_112727]) ).
tcf(c_112791,plain,
( ( app(sk8,sk4) = sk8 )
| ~ frontsegP(sk8,app(sk8,sk4)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_69745,c_112727]) ).
tcf(c_112793,plain,
frontsegP(app(sk8,app(sk4,sk8)),app(sk8,sk4)),
inference(backward_subsumption_resolution,[status(thm)],[c_44212,c_112727]) ).
tcf(c_112794,plain,
rearsegP(app(sk8,app(sk4,sk8)),sk8),
inference(backward_subsumption_resolution,[status(thm)],[c_44209,c_112727]) ).
tcf(c_112795,plain,
ssList(app(sk8,app(sk4,sk8))),
inference(backward_subsumption_resolution,[status(thm)],[c_44206,c_112727]) ).
tcf(c_112796,plain,
frontsegP(app(sk8,app(sk4,sk7)),app(sk8,sk4)),
inference(backward_subsumption_resolution,[status(thm)],[c_43786,c_112727]) ).
tcf(c_112797,plain,
rearsegP(app(sk8,app(sk4,sk7)),sk7),
inference(backward_subsumption_resolution,[status(thm)],[c_43783,c_112727]) ).
tcf(c_112798,plain,
ssList(app(sk8,app(sk4,sk7))),
inference(backward_subsumption_resolution,[status(thm)],[c_43780,c_112727]) ).
tcf(c_112799,plain,
frontsegP(app(sk8,app(sk4,sk4)),app(sk8,sk4)),
inference(backward_subsumption_resolution,[status(thm)],[c_43055,c_112727]) ).
tcf(c_112800,plain,
rearsegP(app(sk8,app(sk4,sk4)),sk4),
inference(backward_subsumption_resolution,[status(thm)],[c_43052,c_112727]) ).
tcf(c_112801,plain,
ssList(app(sk8,app(sk4,sk4))),
inference(backward_subsumption_resolution,[status(thm)],[c_43049,c_112727]) ).
tcf(c_112804,plain,
segmentP(app(sk8,app(sk4,sk8)),sk4),
inference(backward_subsumption_resolution,[status(thm)],[c_44219,c_112795]) ).
tcf(c_112805,plain,
segmentP(app(sk8,app(sk4,sk7)),sk4),
inference(backward_subsumption_resolution,[status(thm)],[c_43807,c_112798]) ).
tcf(c_112806,plain,
segmentP(app(sk8,app(sk4,sk4)),sk4),
inference(backward_subsumption_resolution,[status(thm)],[c_43062,c_112801]) ).
tcf(c_112838,plain,
( ( skaf46(iPr_def_13,iPr_def_12) = nil )
| ( cons(hd(sk7),tl(sk7)) = sk7 ) ),
inference(superposition,[status(thm)],[c_45305,c_10793]) ).
tcf(c_112840,plain,
( ( skaf46(sk4,nil) = nil )
| ( cons(hd(sk4),tl(sk4)) = sk4 ) ),
inference(superposition,[status(thm)],[c_14060,c_10793]) ).
tcf(c_112841,plain,
( ( skaf46(sk7,nil) = nil )
| ( cons(hd(sk7),tl(sk7)) = sk7 ) ),
inference(superposition,[status(thm)],[c_13708,c_10793]) ).
tcf(c_112842,plain,
( ( skaf46(sk8,nil) = nil )
| ( cons(hd(sk8),tl(sk8)) = sk8 ) ),
inference(superposition,[status(thm)],[c_13705,c_10793]) ).
tcf(c_112843,plain,
( ( skaf46(iPr_def_16,nil) = nil )
| ( cons(hd(iPr_def_16),tl(iPr_def_16)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_45278,c_10793]) ).
tcf(c_112847,plain,
( ( skaf46(iPr_def_14,nil) = nil )
| ( cons(hd(iPr_def_14),tl(iPr_def_14)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_45269,c_10793]) ).
tcf(c_112848,plain,
( ( skaf46(iPr_def_12,nil) = nil )
| ( cons(hd(iPr_def_12),tl(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_44921,c_10793]) ).
tcf(c_112849,plain,
( ( skaf46(iPr_def_13,nil) = nil )
| ( cons(hd(iPr_def_13),tl(iPr_def_13)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_44912,c_10793]) ).
tcf(c_112851,plain,
( ( skaf46(cons(sk5,sk4),sk4) = nil )
| ( cons(hd(iPr_def_12),tl(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_72161,c_10793]) ).
tcf(c_112852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf46(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf46(X1,X2)))
| ~ ssList(tl(skaf46(X1,X2)))
| ~ leq(X3,hd(skaf46(X1,X2)))
| ~ leq(hd(skaf46(X1,X2)),X3)
| ~ ssList(app(app(X0,skaf46(X1,X2)),cons(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf46(X1,X2)),tl(skaf46(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10793,c_432]) ).
tcf(c_112853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X3,hd(skaf46(X1,X2)))
| leq(hd(skaf46(X1,X2)),X3)
| ( skaf46(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf46(X1,X2)))
| ~ ssList(tl(skaf46(X1,X2)))
| ~ ssList(app(app(X0,skaf46(X1,X2)),cons(X3,X4)))
| ~ totalorderP(app(app(X0,cons(hd(skaf46(X1,X2)),tl(skaf46(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10793,c_431]) ).
tcf(c_112854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X3,hd(skaf46(X1,X2)))
| lt(hd(skaf46(X1,X2)),X3)
| ( skaf46(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf46(X1,X2)))
| ~ ssList(tl(skaf46(X1,X2)))
| ~ ssList(app(app(X0,skaf46(X1,X2)),cons(X3,X4)))
| ~ strictorderP(app(app(X0,cons(hd(skaf46(X1,X2)),tl(skaf46(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10793,c_430]) ).
tcf(c_112855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(hd(skaf46(X1,X2)),X3)
| ( skaf46(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf46(X1,X2)))
| ~ ssList(tl(skaf46(X1,X2)))
| ~ ssList(app(app(X0,skaf46(X1,X2)),cons(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf46(X1,X2)),tl(skaf46(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10793,c_429]) ).
tcf(c_112856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(hd(skaf46(X1,X2)),X3)
| ( skaf46(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf46(X1,X2)))
| ~ ssList(tl(skaf46(X1,X2)))
| ~ ssList(app(app(X0,skaf46(X1,X2)),cons(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf46(X1,X2)),tl(skaf46(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10793,c_428]) ).
tcf(c_112857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf46(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf46(X1,X2)))
| ~ ssList(tl(skaf46(X1,X2)))
| ~ ssList(app(app(X0,skaf46(X1,X2)),cons(hd(skaf46(X1,X2)),X3)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf46(X1,X2)),tl(skaf46(X1,X2)))),cons(hd(skaf46(X1,X2)),X3))) ),
inference(superposition,[status(thm)],[c_10793,c_426]) ).
tcf(c_112858,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,skaf46(X1,X2)),hd(skaf46(X1,X2)))
| ( skaf46(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf46(X1,X2)))
| ~ ssList(tl(skaf46(X1,X2)))
| ~ ssList(app(X0,cons(hd(skaf46(X1,X2)),tl(skaf46(X1,X2))))) ),
inference(superposition,[status(thm)],[c_10793,c_422]) ).
tcf(c_112859,plain,
! [X0: $i,X1: $i] :
( memberP(skaf46(X0,X1),hd(skaf46(X0,X1)))
| ( skaf46(X0,X1) = nil )
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_10793,c_385]) ).
tcf(c_112861,plain,
! [X0: $i,X1: $i] :
( ( skaf46(X0,X1) = nil )
| ( tl(skaf46(X0,X1)) = nil )
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1)))
| ( skaf46(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10793,c_21847]) ).
tcf(c_112862,plain,
! [X0: $i,X1: $i] :
( ( skaf46(X0,X1) = nil )
| ( tl(skaf46(X0,X1)) = nil )
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1)))
| ( skaf46(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10793,c_21842]) ).
tcf(c_112863,plain,
! [X0: $i,X1: $i] :
( ( skaf46(X0,X1) = nil )
| ( hd(skaf46(X0,X1)) = sk5 )
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1)))
| ( skaf46(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10793,c_21750]) ).
tcf(c_112864,plain,
! [X0: $i,X1: $i] :
( ( skaf46(X0,X1) = nil )
| ( hd(skaf46(X0,X1)) = sk6 )
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1)))
| ( skaf46(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10793,c_21745]) ).
tcf(c_112865,plain,
! [X0: $i,X1: $i] :
( ( skaf46(X0,X1) = nil )
| ( hd(skaf46(X0,X1)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf46(X0,X1))
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_10793,c_21595]) ).
tcf(c_112866,plain,
! [X0: $i,X1: $i] :
( ( skaf46(X0,X1) = nil )
| ( hd(skaf46(X0,X1)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf46(X0,X1))
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_10793,c_21590]) ).
tcf(c_112867,plain,
! [X0: $i,X1: $i] :
( ( skaf46(X0,X1) = nil )
| ( hd(skaf46(X0,X1)) = sk5 )
| ~ frontsegP(skaf46(X0,X1),iPr_def_12)
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_10793,c_21585]) ).
tcf(c_112868,plain,
! [X0: $i,X1: $i] :
( ( skaf46(X0,X1) = nil )
| ( hd(skaf46(X0,X1)) = sk6 )
| ~ frontsegP(skaf46(X0,X1),iPr_def_14)
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_10793,c_21580]) ).
tcf(c_112869,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,tl(skaf46(X0,X1)))
| ( skaf46(X0,X1) = nil )
| ~ frontsegP(iPr_def_12,skaf46(X0,X1))
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_10793,c_21202]) ).
tcf(c_112870,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,tl(skaf46(X0,X1)))
| ( skaf46(X0,X1) = nil )
| ~ frontsegP(iPr_def_14,skaf46(X0,X1))
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_10793,c_21197]) ).
tcf(c_112873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf46(X0,X1) = nil )
| ( hd(skaf46(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1)))
| ~ frontsegP(skaf46(X0,X1),cons(X2,X3)) ),
inference(superposition,[status(thm)],[c_10793,c_423]) ).
tcf(c_112874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(tl(skaf46(X0,X1)),X3)
| ( skaf46(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1)))
| ~ frontsegP(skaf46(X0,X1),cons(X2,X3)) ),
inference(superposition,[status(thm)],[c_10793,c_421]) ).
tcf(c_112875,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(tl(skaf46(X0,X1)),X2)
| ( skaf46(X0,X1) = nil )
| ( hd(skaf46(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1)))
| ~ memberP(skaf46(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10793,c_408]) ).
tcf(c_112876,plain,
! [X0: $i,X1: $i] :
( leq(hd(skaf46(X0,X1)),hd(tl(skaf46(X0,X1))))
| ( skaf46(X0,X1) = nil )
| ( tl(skaf46(X0,X1)) = nil )
| ~ totalorderedP(skaf46(X0,X1))
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_10793,c_382]) ).
tcf(c_112877,plain,
! [X0: $i,X1: $i] :
( lt(hd(skaf46(X0,X1)),hd(tl(skaf46(X0,X1))))
| ( skaf46(X0,X1) = nil )
| ( tl(skaf46(X0,X1)) = nil )
| ~ strictorderedP(skaf46(X0,X1))
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_10793,c_381]) ).
tcf(c_112878,plain,
! [X0: $i,X1: $i] :
( totalorderedP(tl(skaf46(X0,X1)))
| ( skaf46(X0,X1) = nil )
| ( tl(skaf46(X0,X1)) = nil )
| ~ totalorderedP(skaf46(X0,X1))
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_10793,c_372]) ).
tcf(c_112879,plain,
! [X0: $i,X1: $i] :
( strictorderedP(tl(skaf46(X0,X1)))
| ( skaf46(X0,X1) = nil )
| ( tl(skaf46(X0,X1)) = nil )
| ~ strictorderedP(skaf46(X0,X1))
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_10793,c_371]) ).
tcf(c_112880,plain,
! [X0: $i,X1: $i] :
( ( skaf46(X0,X1) = nil )
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1)))
| ( tl(skaf46(X0,X1)) != skaf46(X0,X1) ) ),
inference(superposition,[status(thm)],[c_10793,c_346]) ).
tcf(c_112882,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(cons(hd(skaf46(X1,X2)),X0),skaf46(X1,X2))
| ( skaf46(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf46(X1,X2)))
| ~ ssList(tl(skaf46(X1,X2)))
| ~ frontsegP(X0,tl(skaf46(X1,X2))) ),
inference(superposition,[status(thm)],[c_10793,c_425]) ).
tcf(c_112883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf46(X2,X3) = nil )
| ( hd(skaf46(X2,X3)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf46(X2,X3)))
| ~ ssList(tl(skaf46(X2,X3)))
| ~ ssList(app(X0,cons(X1,skaf46(X2,X3))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf46(X2,X3)),tl(skaf46(X2,X3)))))) ),
inference(superposition,[status(thm)],[c_10793,c_427]) ).
tcf(c_112884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf46(X2,X3) = nil )
| ( tl(skaf46(X2,X3)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf46(X2,X3)))
| ~ ssList(tl(skaf46(X2,X3)))
| ( cons(X0,X1) != skaf46(X2,X3) ) ),
inference(superposition,[status(thm)],[c_10793,c_418]) ).
tcf(c_112885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf46(X2,X3) = nil )
| ( hd(skaf46(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf46(X2,X3)))
| ~ ssList(tl(skaf46(X2,X3)))
| ( cons(X0,X1) != skaf46(X2,X3) ) ),
inference(superposition,[status(thm)],[c_10793,c_417]) ).
tcf(c_112886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf46(X2,X3) = nil )
| ( hd(skaf46(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf46(X2,X3)))
| ~ ssList(tl(skaf46(X2,X3)))
| ~ frontsegP(cons(X0,X1),skaf46(X2,X3)) ),
inference(superposition,[status(thm)],[c_10793,c_423]) ).
tcf(c_112887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X1,tl(skaf46(X2,X3)))
| ( skaf46(X2,X3) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf46(X2,X3)))
| ~ ssList(tl(skaf46(X2,X3)))
| ~ frontsegP(cons(X0,X1),skaf46(X2,X3)) ),
inference(superposition,[status(thm)],[c_10793,c_421]) ).
tcf(c_112888,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf46(X0,X1),cons(hd(skaf46(X0,X1)),X2))
| ( skaf46(X0,X1) = nil )
| ~ ssList(X2)
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1)))
| ~ frontsegP(tl(skaf46(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10793,c_425]) ).
tcf(c_112889,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf46(X0,X1),X2)
| ( skaf46(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssItem(hd(skaf46(X0,X1)))
| ~ ssList(tl(skaf46(X0,X1)))
| ~ memberP(tl(skaf46(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10793,c_386]) ).
tcf(c_112890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf46(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf46(X3,X4)))
| ~ ssList(tl(skaf46(X3,X4)))
| ~ leq(X1,hd(skaf46(X3,X4)))
| ~ leq(hd(skaf46(X3,X4)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf46(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf46(X3,X4)),tl(skaf46(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10793,c_432]) ).
tcf(c_112891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,hd(skaf46(X3,X4)))
| leq(hd(skaf46(X3,X4)),X1)
| ( skaf46(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf46(X3,X4)))
| ~ ssList(tl(skaf46(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf46(X3,X4)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf46(X3,X4)),tl(skaf46(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10793,c_431]) ).
tcf(c_112892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,hd(skaf46(X3,X4)))
| lt(hd(skaf46(X3,X4)),X1)
| ( skaf46(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf46(X3,X4)))
| ~ ssList(tl(skaf46(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf46(X3,X4)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf46(X3,X4)),tl(skaf46(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10793,c_430]) ).
tcf(c_112893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,hd(skaf46(X3,X4)))
| ( skaf46(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf46(X3,X4)))
| ~ ssList(tl(skaf46(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf46(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf46(X3,X4)),tl(skaf46(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10793,c_429]) ).
tcf(c_112894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,hd(skaf46(X3,X4)))
| ( skaf46(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf46(X3,X4)))
| ~ ssList(tl(skaf46(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf46(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf46(X3,X4)),tl(skaf46(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10793,c_428]) ).
tcf(c_112895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf46(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf46(X1,X2)))
| ~ ssList(tl(skaf46(X1,X2)))
| ~ ssList(app(app(X0,cons(hd(skaf46(X1,X2)),X3)),skaf46(X1,X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf46(X1,X2)),X3)),cons(hd(skaf46(X1,X2)),tl(skaf46(X1,X2))))) ),
inference(superposition,[status(thm)],[c_10793,c_426]) ).
tcf(c_112896,plain,
( ( nil = iPr_def_13 )
| ( cons(hd(iPr_def_13),tl(iPr_def_13)) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_112849,c_44912]) ).
tcf(c_112897,plain,
cons(hd(iPr_def_13),tl(iPr_def_13)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_112896,c_11687]) ).
tcf(c_112900,plain,
( ( nil = iPr_def_16 )
| ( cons(hd(iPr_def_16),tl(iPr_def_16)) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_112843,c_45278]) ).
tcf(c_112901,plain,
cons(hd(iPr_def_16),tl(iPr_def_16)) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_112900,c_12352]) ).
tcf(c_113305,plain,
! [X0: $i] :
( ( app(app(app(sk8,sk4),sk8),X0) = app(app(sk8,sk4),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112727,c_16217]) ).
tcf(c_113306,plain,
! [X0: $i] :
( ( app(app(app(sk8,sk4),sk7),X0) = app(app(sk8,sk4),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112727,c_16216]) ).
tcf(c_113307,plain,
! [X0: $i] :
( ( app(app(app(sk8,sk4),sk4),X0) = app(app(sk8,sk4),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112727,c_16215]) ).
tcf(c_113308,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk8,sk4))) = app(cons(X1,X0),app(sk8,sk4)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112727,c_404]) ).
tcf(c_113309,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk8,sk4)),X0) = app(X1,app(app(sk8,sk4),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112727,c_396]) ).
tcf(c_113310,plain,
! [X0: $i] :
( ( app(sk8,sk4) = nil )
| ( app(tl(app(sk8,sk4)),X0) = tl(app(app(sk8,sk4),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112727,c_380]) ).
tcf(c_113311,plain,
! [X0: $i] :
( ( app(sk8,sk4) = nil )
| ( hd(app(app(sk8,sk4),X0)) = hd(app(sk8,sk4)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112727,c_370]) ).
tcf(c_113312,plain,
hd(app(iPr_def_14,app(sk8,sk4))) = sk6,
inference(superposition,[status(thm)],[c_112727,c_11940]) ).
tcf(c_113313,plain,
hd(cons(skac2,app(sk8,sk4))) = skac2,
inference(superposition,[status(thm)],[c_112727,c_10021]) ).
tcf(c_113314,plain,
hd(cons(skac3,app(sk8,sk4))) = skac3,
inference(superposition,[status(thm)],[c_112727,c_10020]) ).
tcf(c_113315,plain,
tl(cons(skac2,app(sk8,sk4))) = app(sk8,sk4),
inference(superposition,[status(thm)],[c_112727,c_9891]) ).
tcf(c_113316,plain,
cons(sk6,app(app(sk8,sk4),sk4)) = app(cons(sk6,app(sk8,sk4)),sk4),
inference(superposition,[status(thm)],[c_112727,c_64778]) ).
tcf(c_113317,plain,
cons(sk5,app(app(sk8,sk4),sk4)) = app(cons(sk5,app(sk8,sk4)),sk4),
inference(superposition,[status(thm)],[c_112727,c_64777]) ).
tcf(c_113318,plain,
tl(cons(skac3,app(sk8,sk4))) = app(sk8,sk4),
inference(superposition,[status(thm)],[c_112727,c_9890]) ).
tcf(c_113319,plain,
app(app(sk8,sk8),app(sk8,sk4)) = app(sk8,app(sk8,app(sk8,sk4))),
inference(superposition,[status(thm)],[c_112727,c_56349]) ).
tcf(c_113320,plain,
app(app(sk7,sk8),app(sk8,sk4)) = app(sk7,app(sk8,app(sk8,sk4))),
inference(superposition,[status(thm)],[c_112727,c_56348]) ).
tcf(c_113321,plain,
app(app(sk4,sk8),app(sk8,sk4)) = app(sk4,app(sk8,app(sk8,sk4))),
inference(superposition,[status(thm)],[c_112727,c_56347]) ).
tcf(c_113322,plain,
app(app(sk8,sk7),app(sk8,sk4)) = app(sk8,app(sk7,app(sk8,sk4))),
inference(superposition,[status(thm)],[c_112727,c_45540]) ).
tcf(c_113323,plain,
app(app(sk7,sk7),app(sk8,sk4)) = app(sk7,app(sk7,app(sk8,sk4))),
inference(superposition,[status(thm)],[c_112727,c_45539]) ).
tcf(c_113324,plain,
app(app(sk4,sk7),app(sk8,sk4)) = app(sk4,app(sk7,app(sk8,sk4))),
inference(superposition,[status(thm)],[c_112727,c_45538]) ).
tcf(c_113325,plain,
app(app(sk8,sk4),app(sk8,sk4)) = app(sk8,app(sk4,app(sk8,sk4))),
inference(superposition,[status(thm)],[c_112727,c_37633]) ).
tcf(c_113326,plain,
app(app(sk7,sk4),app(sk8,sk4)) = app(sk7,app(sk4,app(sk8,sk4))),
inference(superposition,[status(thm)],[c_112727,c_37632]) ).
tcf(c_113327,plain,
app(app(sk4,sk4),app(sk8,sk4)) = app(sk4,app(sk4,app(sk8,sk4))),
inference(superposition,[status(thm)],[c_112727,c_37631]) ).
tcf(c_113328,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk8,sk4)) = tl(app(sk8,app(sk8,sk4))) ) ),
inference(superposition,[status(thm)],[c_112727,c_14611]) ).
tcf(c_113329,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk8,sk4)) = tl(app(sk7,app(sk8,sk4))) ) ),
inference(superposition,[status(thm)],[c_112727,c_14610]) ).
tcf(c_113330,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk8,sk4)) = tl(app(sk4,app(sk8,sk4))) ) ),
inference(superposition,[status(thm)],[c_112727,c_14609]) ).
tcf(c_113331,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk8,sk4))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_112727,c_11903]) ).
tcf(c_113332,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk8,sk4))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_112727,c_11902]) ).
tcf(c_113333,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk8,sk4))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_112727,c_11901]) ).
tcf(c_113334,plain,
( cyclefreeP(app(sk8,sk4))
| ( app(app(skaf51(app(sk8,sk4)),cons(skaf49(app(sk8,sk4)),skaf52(app(sk8,sk4)))),cons(skaf50(app(sk8,sk4)),skaf53(app(sk8,sk4)))) = app(sk8,sk4) ) ),
inference(superposition,[status(thm)],[c_112727,c_414]) ).
tcf(c_113335,plain,
( totalorderP(app(sk8,sk4))
| ( app(app(skaf56(app(sk8,sk4)),cons(skaf54(app(sk8,sk4)),skaf57(app(sk8,sk4)))),cons(skaf55(app(sk8,sk4)),skaf58(app(sk8,sk4)))) = app(sk8,sk4) ) ),
inference(superposition,[status(thm)],[c_112727,c_413]) ).
tcf(c_113336,plain,
( strictorderP(app(sk8,sk4))
| ( app(app(skaf61(app(sk8,sk4)),cons(skaf59(app(sk8,sk4)),skaf62(app(sk8,sk4)))),cons(skaf60(app(sk8,sk4)),skaf63(app(sk8,sk4)))) = app(sk8,sk4) ) ),
inference(superposition,[status(thm)],[c_112727,c_412]) ).
tcf(c_113337,plain,
( totalorderedP(app(sk8,sk4))
| ( app(app(skaf66(app(sk8,sk4)),cons(skaf64(app(sk8,sk4)),skaf67(app(sk8,sk4)))),cons(skaf65(app(sk8,sk4)),skaf68(app(sk8,sk4)))) = app(sk8,sk4) ) ),
inference(superposition,[status(thm)],[c_112727,c_411]) ).
tcf(c_113338,plain,
( strictorderedP(app(sk8,sk4))
| ( app(app(skaf71(app(sk8,sk4)),cons(skaf69(app(sk8,sk4)),skaf72(app(sk8,sk4)))),cons(skaf70(app(sk8,sk4)),skaf73(app(sk8,sk4)))) = app(sk8,sk4) ) ),
inference(superposition,[status(thm)],[c_112727,c_410]) ).
tcf(c_113339,plain,
( duplicatefreeP(app(sk8,sk4))
| ( app(app(skaf75(app(sk8,sk4)),cons(skaf74(app(sk8,sk4)),skaf76(app(sk8,sk4)))),cons(skaf74(app(sk8,sk4)),skaf77(app(sk8,sk4)))) = app(sk8,sk4) ) ),
inference(superposition,[status(thm)],[c_112727,c_409]) ).
tcf(c_113340,plain,
( equalelemsP(app(sk8,sk4))
| ( app(skaf80(app(sk8,sk4)),cons(skaf78(app(sk8,sk4)),cons(skaf79(app(sk8,sk4)),skaf81(app(sk8,sk4))))) = app(sk8,sk4) ) ),
inference(superposition,[status(thm)],[c_112727,c_389]) ).
tcf(c_113341,plain,
hd(cons(sk6,app(sk8,sk4))) = sk6,
inference(superposition,[status(thm)],[c_112727,c_10017]) ).
tcf(c_113342,plain,
( ( app(sk8,sk4) = nil )
| ( cons(skaf83(app(sk8,sk4)),skaf82(app(sk8,sk4))) = app(sk8,sk4) ) ),
inference(superposition,[status(thm)],[c_112727,c_356]) ).
tcf(c_113343,plain,
( ( app(sk8,sk4) = nil )
| ( cons(hd(app(sk8,sk4)),tl(app(sk8,sk4))) = app(sk8,sk4) ) ),
inference(superposition,[status(thm)],[c_112727,c_351]) ).
tcf(c_113344,plain,
hd(cons(sk5,app(sk8,sk4))) = sk5,
inference(superposition,[status(thm)],[c_112727,c_10016]) ).
tcf(c_113345,plain,
tl(cons(sk6,app(sk8,sk4))) = app(sk8,sk4),
inference(superposition,[status(thm)],[c_112727,c_9887]) ).
tcf(c_113346,plain,
tl(cons(sk5,app(sk8,sk4))) = app(sk8,sk4),
inference(superposition,[status(thm)],[c_112727,c_9886]) ).
tcf(c_113347,plain,
( duplicatefreeP(app(sk8,sk4))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_112727,c_6471]) ).
tcf(c_113348,plain,
app(nil,app(sk8,sk4)) = app(sk8,sk4),
inference(superposition,[status(thm)],[c_112727,c_321]) ).
tcf(c_113358,plain,
cons(sk5,app(sk8,app(sk4,sk4))) = app(cons(sk5,app(sk8,sk4)),sk4),
inference(light_normalisation,[status(thm)],[c_113317,c_42873]) ).
tcf(c_113359,plain,
cons(sk6,app(sk8,app(sk4,sk4))) = app(cons(sk6,app(sk8,sk4)),sk4),
inference(light_normalisation,[status(thm)],[c_113316,c_42873]) ).
tcf(c_113366,plain,
! [X0: $i] :
( ( app(app(sk8,app(sk4,sk4)),X0) = app(app(sk8,sk4),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_113307,c_42873]) ).
tcf(c_113369,plain,
! [X0: $i] :
( ( app(app(sk8,app(sk4,sk7)),X0) = app(app(sk8,sk4),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_113306,c_42874]) ).
tcf(c_113372,plain,
! [X0: $i] :
( ( app(app(sk8,app(sk4,sk8)),X0) = app(app(sk8,sk4),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_113305,c_42875]) ).
tcf(c_113513,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk8)),sk8),X0) = app(app(sk8,app(sk4,sk8)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112795,c_16217]) ).
tcf(c_113514,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk8)),sk7),X0) = app(app(sk8,app(sk4,sk8)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112795,c_16216]) ).
tcf(c_113515,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk8)),sk4),X0) = app(app(sk8,app(sk4,sk8)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112795,c_16215]) ).
tcf(c_113516,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk8,app(sk4,sk8)))) = app(cons(X1,X0),app(sk8,app(sk4,sk8))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112795,c_404]) ).
tcf(c_113517,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk8,app(sk4,sk8))),X0) = app(X1,app(app(sk8,app(sk4,sk8)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112795,c_396]) ).
tcf(c_113518,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk8)) = nil )
| ( app(tl(app(sk8,app(sk4,sk8))),X0) = tl(app(app(sk8,app(sk4,sk8)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112795,c_380]) ).
tcf(c_113519,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk8)) = nil )
| ( hd(app(app(sk8,app(sk4,sk8)),X0)) = hd(app(sk8,app(sk4,sk8))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112795,c_370]) ).
tcf(c_113520,plain,
hd(app(iPr_def_14,app(sk8,app(sk4,sk8)))) = sk6,
inference(superposition,[status(thm)],[c_112795,c_11940]) ).
tcf(c_113521,plain,
hd(cons(skac2,app(sk8,app(sk4,sk8)))) = skac2,
inference(superposition,[status(thm)],[c_112795,c_10021]) ).
tcf(c_113522,plain,
hd(cons(skac3,app(sk8,app(sk4,sk8)))) = skac3,
inference(superposition,[status(thm)],[c_112795,c_10020]) ).
tcf(c_113523,plain,
tl(cons(skac2,app(sk8,app(sk4,sk8)))) = app(sk8,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_112795,c_9891]) ).
tcf(c_113524,plain,
cons(sk6,app(app(sk8,app(sk4,sk8)),sk4)) = app(cons(sk6,app(sk8,app(sk4,sk8))),sk4),
inference(superposition,[status(thm)],[c_112795,c_64778]) ).
tcf(c_113525,plain,
cons(sk5,app(app(sk8,app(sk4,sk8)),sk4)) = app(cons(sk5,app(sk8,app(sk4,sk8))),sk4),
inference(superposition,[status(thm)],[c_112795,c_64777]) ).
tcf(c_113526,plain,
tl(cons(skac3,app(sk8,app(sk4,sk8)))) = app(sk8,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_112795,c_9890]) ).
tcf(c_113527,plain,
app(app(sk8,sk8),app(sk8,app(sk4,sk8))) = app(sk8,app(sk8,app(sk8,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_112795,c_56349]) ).
tcf(c_113528,plain,
app(app(sk7,sk8),app(sk8,app(sk4,sk8))) = app(sk7,app(sk8,app(sk8,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_112795,c_56348]) ).
tcf(c_113529,plain,
app(app(sk4,sk8),app(sk8,app(sk4,sk8))) = app(sk4,app(sk8,app(sk8,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_112795,c_56347]) ).
tcf(c_113530,plain,
app(app(sk8,sk7),app(sk8,app(sk4,sk8))) = app(sk8,app(sk7,app(sk8,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_112795,c_45540]) ).
tcf(c_113531,plain,
app(app(sk7,sk7),app(sk8,app(sk4,sk8))) = app(sk7,app(sk7,app(sk8,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_112795,c_45539]) ).
tcf(c_113532,plain,
app(app(sk4,sk7),app(sk8,app(sk4,sk8))) = app(sk4,app(sk7,app(sk8,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_112795,c_45538]) ).
tcf(c_113533,plain,
app(app(sk8,sk4),app(sk8,app(sk4,sk8))) = app(sk8,app(sk4,app(sk8,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_112795,c_37633]) ).
tcf(c_113534,plain,
app(app(sk7,sk4),app(sk8,app(sk4,sk8))) = app(sk7,app(sk4,app(sk8,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_112795,c_37632]) ).
tcf(c_113535,plain,
app(app(sk4,sk4),app(sk8,app(sk4,sk8))) = app(sk4,app(sk4,app(sk8,app(sk4,sk8)))),
inference(superposition,[status(thm)],[c_112795,c_37631]) ).
tcf(c_113536,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk8,app(sk4,sk8))) = tl(app(sk8,app(sk8,app(sk4,sk8)))) ) ),
inference(superposition,[status(thm)],[c_112795,c_14611]) ).
tcf(c_113537,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk8,app(sk4,sk8))) = tl(app(sk7,app(sk8,app(sk4,sk8)))) ) ),
inference(superposition,[status(thm)],[c_112795,c_14610]) ).
tcf(c_113538,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk8,app(sk4,sk8))) = tl(app(sk4,app(sk8,app(sk4,sk8)))) ) ),
inference(superposition,[status(thm)],[c_112795,c_14609]) ).
tcf(c_113539,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk8,app(sk4,sk8)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_112795,c_11903]) ).
tcf(c_113540,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk8,app(sk4,sk8)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_112795,c_11902]) ).
tcf(c_113541,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk8,app(sk4,sk8)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_112795,c_11901]) ).
tcf(c_113542,plain,
( cyclefreeP(app(sk8,app(sk4,sk8)))
| ( app(app(skaf51(app(sk8,app(sk4,sk8))),cons(skaf49(app(sk8,app(sk4,sk8))),skaf52(app(sk8,app(sk4,sk8))))),cons(skaf50(app(sk8,app(sk4,sk8))),skaf53(app(sk8,app(sk4,sk8))))) = app(sk8,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_112795,c_414]) ).
tcf(c_113543,plain,
( totalorderP(app(sk8,app(sk4,sk8)))
| ( app(app(skaf56(app(sk8,app(sk4,sk8))),cons(skaf54(app(sk8,app(sk4,sk8))),skaf57(app(sk8,app(sk4,sk8))))),cons(skaf55(app(sk8,app(sk4,sk8))),skaf58(app(sk8,app(sk4,sk8))))) = app(sk8,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_112795,c_413]) ).
tcf(c_113544,plain,
( strictorderP(app(sk8,app(sk4,sk8)))
| ( app(app(skaf61(app(sk8,app(sk4,sk8))),cons(skaf59(app(sk8,app(sk4,sk8))),skaf62(app(sk8,app(sk4,sk8))))),cons(skaf60(app(sk8,app(sk4,sk8))),skaf63(app(sk8,app(sk4,sk8))))) = app(sk8,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_112795,c_412]) ).
tcf(c_113545,plain,
( totalorderedP(app(sk8,app(sk4,sk8)))
| ( app(app(skaf66(app(sk8,app(sk4,sk8))),cons(skaf64(app(sk8,app(sk4,sk8))),skaf67(app(sk8,app(sk4,sk8))))),cons(skaf65(app(sk8,app(sk4,sk8))),skaf68(app(sk8,app(sk4,sk8))))) = app(sk8,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_112795,c_411]) ).
tcf(c_113546,plain,
( strictorderedP(app(sk8,app(sk4,sk8)))
| ( app(app(skaf71(app(sk8,app(sk4,sk8))),cons(skaf69(app(sk8,app(sk4,sk8))),skaf72(app(sk8,app(sk4,sk8))))),cons(skaf70(app(sk8,app(sk4,sk8))),skaf73(app(sk8,app(sk4,sk8))))) = app(sk8,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_112795,c_410]) ).
tcf(c_113547,plain,
( duplicatefreeP(app(sk8,app(sk4,sk8)))
| ( app(app(skaf75(app(sk8,app(sk4,sk8))),cons(skaf74(app(sk8,app(sk4,sk8))),skaf76(app(sk8,app(sk4,sk8))))),cons(skaf74(app(sk8,app(sk4,sk8))),skaf77(app(sk8,app(sk4,sk8))))) = app(sk8,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_112795,c_409]) ).
tcf(c_113548,plain,
( equalelemsP(app(sk8,app(sk4,sk8)))
| ( app(skaf80(app(sk8,app(sk4,sk8))),cons(skaf78(app(sk8,app(sk4,sk8))),cons(skaf79(app(sk8,app(sk4,sk8))),skaf81(app(sk8,app(sk4,sk8)))))) = app(sk8,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_112795,c_389]) ).
tcf(c_113549,plain,
hd(cons(sk6,app(sk8,app(sk4,sk8)))) = sk6,
inference(superposition,[status(thm)],[c_112795,c_10017]) ).
tcf(c_113550,plain,
( ( app(sk8,app(sk4,sk8)) = nil )
| ( cons(skaf83(app(sk8,app(sk4,sk8))),skaf82(app(sk8,app(sk4,sk8)))) = app(sk8,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_112795,c_356]) ).
tcf(c_113551,plain,
( ( app(sk8,app(sk4,sk8)) = nil )
| ( cons(hd(app(sk8,app(sk4,sk8))),tl(app(sk8,app(sk4,sk8)))) = app(sk8,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_112795,c_351]) ).
tcf(c_113552,plain,
hd(cons(sk5,app(sk8,app(sk4,sk8)))) = sk5,
inference(superposition,[status(thm)],[c_112795,c_10016]) ).
tcf(c_113553,plain,
tl(cons(sk6,app(sk8,app(sk4,sk8)))) = app(sk8,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_112795,c_9887]) ).
tcf(c_113554,plain,
tl(cons(sk5,app(sk8,app(sk4,sk8)))) = app(sk8,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_112795,c_9886]) ).
tcf(c_113555,plain,
( duplicatefreeP(app(sk8,app(sk4,sk8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_112795,c_6471]) ).
tcf(c_113556,plain,
app(nil,app(sk8,app(sk4,sk8))) = app(sk8,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_112795,c_321]) ).
tcf(c_113557,plain,
app(app(sk8,app(sk4,sk8)),nil) = app(sk8,app(sk4,sk8)),
inference(superposition,[status(thm)],[c_112795,c_320]) ).
tcf(c_113764,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk7)),sk8),X0) = app(app(sk8,app(sk4,sk7)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112798,c_16217]) ).
tcf(c_113765,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk7)),sk7),X0) = app(app(sk8,app(sk4,sk7)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112798,c_16216]) ).
tcf(c_113766,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk7)),sk4),X0) = app(app(sk8,app(sk4,sk7)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112798,c_16215]) ).
tcf(c_113767,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk8,app(sk4,sk7)))) = app(cons(X1,X0),app(sk8,app(sk4,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112798,c_404]) ).
tcf(c_113768,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk8,app(sk4,sk7))),X0) = app(X1,app(app(sk8,app(sk4,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112798,c_396]) ).
tcf(c_113769,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk7)) = nil )
| ( app(tl(app(sk8,app(sk4,sk7))),X0) = tl(app(app(sk8,app(sk4,sk7)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112798,c_380]) ).
tcf(c_113770,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk7)) = nil )
| ( hd(app(app(sk8,app(sk4,sk7)),X0)) = hd(app(sk8,app(sk4,sk7))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112798,c_370]) ).
tcf(c_113771,plain,
hd(app(iPr_def_14,app(sk8,app(sk4,sk7)))) = sk6,
inference(superposition,[status(thm)],[c_112798,c_11940]) ).
tcf(c_113772,plain,
hd(cons(skac2,app(sk8,app(sk4,sk7)))) = skac2,
inference(superposition,[status(thm)],[c_112798,c_10021]) ).
tcf(c_113773,plain,
hd(cons(skac3,app(sk8,app(sk4,sk7)))) = skac3,
inference(superposition,[status(thm)],[c_112798,c_10020]) ).
tcf(c_113774,plain,
tl(cons(skac2,app(sk8,app(sk4,sk7)))) = app(sk8,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_112798,c_9891]) ).
tcf(c_113775,plain,
cons(sk6,app(app(sk8,app(sk4,sk7)),sk4)) = app(cons(sk6,app(sk8,app(sk4,sk7))),sk4),
inference(superposition,[status(thm)],[c_112798,c_64778]) ).
tcf(c_113776,plain,
cons(sk5,app(app(sk8,app(sk4,sk7)),sk4)) = app(cons(sk5,app(sk8,app(sk4,sk7))),sk4),
inference(superposition,[status(thm)],[c_112798,c_64777]) ).
tcf(c_113777,plain,
tl(cons(skac3,app(sk8,app(sk4,sk7)))) = app(sk8,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_112798,c_9890]) ).
tcf(c_113778,plain,
app(app(sk8,sk8),app(sk8,app(sk4,sk7))) = app(sk8,app(sk8,app(sk8,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_112798,c_56349]) ).
tcf(c_113779,plain,
app(app(sk7,sk8),app(sk8,app(sk4,sk7))) = app(sk7,app(sk8,app(sk8,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_112798,c_56348]) ).
tcf(c_113780,plain,
app(app(sk4,sk8),app(sk8,app(sk4,sk7))) = app(sk4,app(sk8,app(sk8,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_112798,c_56347]) ).
tcf(c_113781,plain,
app(app(sk8,sk7),app(sk8,app(sk4,sk7))) = app(sk8,app(sk7,app(sk8,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_112798,c_45540]) ).
tcf(c_113782,plain,
app(app(sk7,sk7),app(sk8,app(sk4,sk7))) = app(sk7,app(sk7,app(sk8,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_112798,c_45539]) ).
tcf(c_113783,plain,
app(app(sk4,sk7),app(sk8,app(sk4,sk7))) = app(sk4,app(sk7,app(sk8,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_112798,c_45538]) ).
tcf(c_113784,plain,
app(app(sk8,sk4),app(sk8,app(sk4,sk7))) = app(sk8,app(sk4,app(sk8,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_112798,c_37633]) ).
tcf(c_113785,plain,
app(app(sk7,sk4),app(sk8,app(sk4,sk7))) = app(sk7,app(sk4,app(sk8,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_112798,c_37632]) ).
tcf(c_113786,plain,
app(app(sk4,sk4),app(sk8,app(sk4,sk7))) = app(sk4,app(sk4,app(sk8,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_112798,c_37631]) ).
tcf(c_113787,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk8,app(sk4,sk7))) = tl(app(sk8,app(sk8,app(sk4,sk7)))) ) ),
inference(superposition,[status(thm)],[c_112798,c_14611]) ).
tcf(c_113788,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk8,app(sk4,sk7))) = tl(app(sk7,app(sk8,app(sk4,sk7)))) ) ),
inference(superposition,[status(thm)],[c_112798,c_14610]) ).
tcf(c_113789,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk8,app(sk4,sk7))) = tl(app(sk4,app(sk8,app(sk4,sk7)))) ) ),
inference(superposition,[status(thm)],[c_112798,c_14609]) ).
tcf(c_113790,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk8,app(sk4,sk7)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_112798,c_11903]) ).
tcf(c_113791,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk8,app(sk4,sk7)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_112798,c_11902]) ).
tcf(c_113792,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk8,app(sk4,sk7)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_112798,c_11901]) ).
tcf(c_113793,plain,
( cyclefreeP(app(sk8,app(sk4,sk7)))
| ( app(app(skaf51(app(sk8,app(sk4,sk7))),cons(skaf49(app(sk8,app(sk4,sk7))),skaf52(app(sk8,app(sk4,sk7))))),cons(skaf50(app(sk8,app(sk4,sk7))),skaf53(app(sk8,app(sk4,sk7))))) = app(sk8,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_112798,c_414]) ).
tcf(c_113794,plain,
( totalorderP(app(sk8,app(sk4,sk7)))
| ( app(app(skaf56(app(sk8,app(sk4,sk7))),cons(skaf54(app(sk8,app(sk4,sk7))),skaf57(app(sk8,app(sk4,sk7))))),cons(skaf55(app(sk8,app(sk4,sk7))),skaf58(app(sk8,app(sk4,sk7))))) = app(sk8,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_112798,c_413]) ).
tcf(c_113795,plain,
( strictorderP(app(sk8,app(sk4,sk7)))
| ( app(app(skaf61(app(sk8,app(sk4,sk7))),cons(skaf59(app(sk8,app(sk4,sk7))),skaf62(app(sk8,app(sk4,sk7))))),cons(skaf60(app(sk8,app(sk4,sk7))),skaf63(app(sk8,app(sk4,sk7))))) = app(sk8,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_112798,c_412]) ).
tcf(c_113796,plain,
( totalorderedP(app(sk8,app(sk4,sk7)))
| ( app(app(skaf66(app(sk8,app(sk4,sk7))),cons(skaf64(app(sk8,app(sk4,sk7))),skaf67(app(sk8,app(sk4,sk7))))),cons(skaf65(app(sk8,app(sk4,sk7))),skaf68(app(sk8,app(sk4,sk7))))) = app(sk8,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_112798,c_411]) ).
tcf(c_113797,plain,
( strictorderedP(app(sk8,app(sk4,sk7)))
| ( app(app(skaf71(app(sk8,app(sk4,sk7))),cons(skaf69(app(sk8,app(sk4,sk7))),skaf72(app(sk8,app(sk4,sk7))))),cons(skaf70(app(sk8,app(sk4,sk7))),skaf73(app(sk8,app(sk4,sk7))))) = app(sk8,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_112798,c_410]) ).
tcf(c_113798,plain,
( duplicatefreeP(app(sk8,app(sk4,sk7)))
| ( app(app(skaf75(app(sk8,app(sk4,sk7))),cons(skaf74(app(sk8,app(sk4,sk7))),skaf76(app(sk8,app(sk4,sk7))))),cons(skaf74(app(sk8,app(sk4,sk7))),skaf77(app(sk8,app(sk4,sk7))))) = app(sk8,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_112798,c_409]) ).
tcf(c_113799,plain,
( equalelemsP(app(sk8,app(sk4,sk7)))
| ( app(skaf80(app(sk8,app(sk4,sk7))),cons(skaf78(app(sk8,app(sk4,sk7))),cons(skaf79(app(sk8,app(sk4,sk7))),skaf81(app(sk8,app(sk4,sk7)))))) = app(sk8,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_112798,c_389]) ).
tcf(c_113800,plain,
hd(cons(sk6,app(sk8,app(sk4,sk7)))) = sk6,
inference(superposition,[status(thm)],[c_112798,c_10017]) ).
tcf(c_113801,plain,
( ( app(sk8,app(sk4,sk7)) = nil )
| ( cons(skaf83(app(sk8,app(sk4,sk7))),skaf82(app(sk8,app(sk4,sk7)))) = app(sk8,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_112798,c_356]) ).
tcf(c_113802,plain,
( ( app(sk8,app(sk4,sk7)) = nil )
| ( cons(hd(app(sk8,app(sk4,sk7))),tl(app(sk8,app(sk4,sk7)))) = app(sk8,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_112798,c_351]) ).
tcf(c_113803,plain,
hd(cons(sk5,app(sk8,app(sk4,sk7)))) = sk5,
inference(superposition,[status(thm)],[c_112798,c_10016]) ).
tcf(c_113804,plain,
tl(cons(sk6,app(sk8,app(sk4,sk7)))) = app(sk8,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_112798,c_9887]) ).
tcf(c_113805,plain,
tl(cons(sk5,app(sk8,app(sk4,sk7)))) = app(sk8,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_112798,c_9886]) ).
tcf(c_113806,plain,
( duplicatefreeP(app(sk8,app(sk4,sk7)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_112798,c_6471]) ).
tcf(c_113807,plain,
app(nil,app(sk8,app(sk4,sk7))) = app(sk8,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_112798,c_321]) ).
tcf(c_113808,plain,
app(app(sk8,app(sk4,sk7)),nil) = app(sk8,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_112798,c_320]) ).
tcf(c_114113,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk4)),sk8),X0) = app(app(sk8,app(sk4,sk4)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112801,c_16217]) ).
tcf(c_114114,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk4)),sk7),X0) = app(app(sk8,app(sk4,sk4)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112801,c_16216]) ).
tcf(c_114115,plain,
! [X0: $i] :
( ( app(app(app(sk8,app(sk4,sk4)),sk4),X0) = app(app(sk8,app(sk4,sk4)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112801,c_16215]) ).
tcf(c_114116,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk8,app(sk4,sk4)))) = app(cons(X1,X0),app(sk8,app(sk4,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112801,c_404]) ).
tcf(c_114117,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk8,app(sk4,sk4))),X0) = app(X1,app(app(sk8,app(sk4,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112801,c_396]) ).
tcf(c_114118,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk4)) = nil )
| ( app(tl(app(sk8,app(sk4,sk4))),X0) = tl(app(app(sk8,app(sk4,sk4)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112801,c_380]) ).
tcf(c_114119,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk4)) = nil )
| ( hd(app(app(sk8,app(sk4,sk4)),X0)) = hd(app(sk8,app(sk4,sk4))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112801,c_370]) ).
tcf(c_114120,plain,
hd(app(iPr_def_14,app(sk8,app(sk4,sk4)))) = sk6,
inference(superposition,[status(thm)],[c_112801,c_11940]) ).
tcf(c_114121,plain,
hd(cons(skac2,app(sk8,app(sk4,sk4)))) = skac2,
inference(superposition,[status(thm)],[c_112801,c_10021]) ).
tcf(c_114122,plain,
hd(cons(skac3,app(sk8,app(sk4,sk4)))) = skac3,
inference(superposition,[status(thm)],[c_112801,c_10020]) ).
tcf(c_114123,plain,
tl(cons(skac2,app(sk8,app(sk4,sk4)))) = app(sk8,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_112801,c_9891]) ).
tcf(c_114124,plain,
cons(sk6,app(app(sk8,app(sk4,sk4)),sk4)) = app(cons(sk6,app(sk8,app(sk4,sk4))),sk4),
inference(superposition,[status(thm)],[c_112801,c_64778]) ).
tcf(c_114125,plain,
cons(sk5,app(app(sk8,app(sk4,sk4)),sk4)) = app(cons(sk5,app(sk8,app(sk4,sk4))),sk4),
inference(superposition,[status(thm)],[c_112801,c_64777]) ).
tcf(c_114126,plain,
tl(cons(skac3,app(sk8,app(sk4,sk4)))) = app(sk8,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_112801,c_9890]) ).
tcf(c_114127,plain,
app(app(sk8,sk8),app(sk8,app(sk4,sk4))) = app(sk8,app(sk8,app(sk8,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_112801,c_56349]) ).
tcf(c_114128,plain,
app(app(sk7,sk8),app(sk8,app(sk4,sk4))) = app(sk7,app(sk8,app(sk8,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_112801,c_56348]) ).
tcf(c_114129,plain,
app(app(sk4,sk8),app(sk8,app(sk4,sk4))) = app(sk4,app(sk8,app(sk8,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_112801,c_56347]) ).
tcf(c_114130,plain,
app(app(sk8,sk7),app(sk8,app(sk4,sk4))) = app(sk8,app(sk7,app(sk8,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_112801,c_45540]) ).
tcf(c_114131,plain,
app(app(sk7,sk7),app(sk8,app(sk4,sk4))) = app(sk7,app(sk7,app(sk8,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_112801,c_45539]) ).
tcf(c_114132,plain,
app(app(sk4,sk7),app(sk8,app(sk4,sk4))) = app(sk4,app(sk7,app(sk8,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_112801,c_45538]) ).
tcf(c_114133,plain,
app(app(sk8,sk4),app(sk8,app(sk4,sk4))) = app(sk8,app(sk4,app(sk8,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_112801,c_37633]) ).
tcf(c_114134,plain,
app(app(sk7,sk4),app(sk8,app(sk4,sk4))) = app(sk7,app(sk4,app(sk8,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_112801,c_37632]) ).
tcf(c_114135,plain,
app(app(sk4,sk4),app(sk8,app(sk4,sk4))) = app(sk4,app(sk4,app(sk8,app(sk4,sk4)))),
inference(superposition,[status(thm)],[c_112801,c_37631]) ).
tcf(c_114136,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk8,app(sk4,sk4))) = tl(app(sk8,app(sk8,app(sk4,sk4)))) ) ),
inference(superposition,[status(thm)],[c_112801,c_14611]) ).
tcf(c_114137,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk8,app(sk4,sk4))) = tl(app(sk7,app(sk8,app(sk4,sk4)))) ) ),
inference(superposition,[status(thm)],[c_112801,c_14610]) ).
tcf(c_114138,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk8,app(sk4,sk4))) = tl(app(sk4,app(sk8,app(sk4,sk4)))) ) ),
inference(superposition,[status(thm)],[c_112801,c_14609]) ).
tcf(c_114139,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk8,app(sk4,sk4)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_112801,c_11903]) ).
tcf(c_114140,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk8,app(sk4,sk4)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_112801,c_11902]) ).
tcf(c_114141,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk8,app(sk4,sk4)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_112801,c_11901]) ).
tcf(c_114142,plain,
( cyclefreeP(app(sk8,app(sk4,sk4)))
| ( app(app(skaf51(app(sk8,app(sk4,sk4))),cons(skaf49(app(sk8,app(sk4,sk4))),skaf52(app(sk8,app(sk4,sk4))))),cons(skaf50(app(sk8,app(sk4,sk4))),skaf53(app(sk8,app(sk4,sk4))))) = app(sk8,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_112801,c_414]) ).
tcf(c_114143,plain,
( totalorderP(app(sk8,app(sk4,sk4)))
| ( app(app(skaf56(app(sk8,app(sk4,sk4))),cons(skaf54(app(sk8,app(sk4,sk4))),skaf57(app(sk8,app(sk4,sk4))))),cons(skaf55(app(sk8,app(sk4,sk4))),skaf58(app(sk8,app(sk4,sk4))))) = app(sk8,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_112801,c_413]) ).
tcf(c_114144,plain,
( strictorderP(app(sk8,app(sk4,sk4)))
| ( app(app(skaf61(app(sk8,app(sk4,sk4))),cons(skaf59(app(sk8,app(sk4,sk4))),skaf62(app(sk8,app(sk4,sk4))))),cons(skaf60(app(sk8,app(sk4,sk4))),skaf63(app(sk8,app(sk4,sk4))))) = app(sk8,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_112801,c_412]) ).
tcf(c_114145,plain,
( totalorderedP(app(sk8,app(sk4,sk4)))
| ( app(app(skaf66(app(sk8,app(sk4,sk4))),cons(skaf64(app(sk8,app(sk4,sk4))),skaf67(app(sk8,app(sk4,sk4))))),cons(skaf65(app(sk8,app(sk4,sk4))),skaf68(app(sk8,app(sk4,sk4))))) = app(sk8,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_112801,c_411]) ).
tcf(c_114146,plain,
( strictorderedP(app(sk8,app(sk4,sk4)))
| ( app(app(skaf71(app(sk8,app(sk4,sk4))),cons(skaf69(app(sk8,app(sk4,sk4))),skaf72(app(sk8,app(sk4,sk4))))),cons(skaf70(app(sk8,app(sk4,sk4))),skaf73(app(sk8,app(sk4,sk4))))) = app(sk8,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_112801,c_410]) ).
tcf(c_114147,plain,
( duplicatefreeP(app(sk8,app(sk4,sk4)))
| ( app(app(skaf75(app(sk8,app(sk4,sk4))),cons(skaf74(app(sk8,app(sk4,sk4))),skaf76(app(sk8,app(sk4,sk4))))),cons(skaf74(app(sk8,app(sk4,sk4))),skaf77(app(sk8,app(sk4,sk4))))) = app(sk8,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_112801,c_409]) ).
tcf(c_114148,plain,
( equalelemsP(app(sk8,app(sk4,sk4)))
| ( app(skaf80(app(sk8,app(sk4,sk4))),cons(skaf78(app(sk8,app(sk4,sk4))),cons(skaf79(app(sk8,app(sk4,sk4))),skaf81(app(sk8,app(sk4,sk4)))))) = app(sk8,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_112801,c_389]) ).
tcf(c_114149,plain,
hd(cons(sk6,app(sk8,app(sk4,sk4)))) = sk6,
inference(superposition,[status(thm)],[c_112801,c_10017]) ).
tcf(c_114150,plain,
( ( app(sk8,app(sk4,sk4)) = nil )
| ( cons(skaf83(app(sk8,app(sk4,sk4))),skaf82(app(sk8,app(sk4,sk4)))) = app(sk8,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_112801,c_356]) ).
tcf(c_114151,plain,
( ( app(sk8,app(sk4,sk4)) = nil )
| ( cons(hd(app(sk8,app(sk4,sk4))),tl(app(sk8,app(sk4,sk4)))) = app(sk8,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_112801,c_351]) ).
tcf(c_114152,plain,
hd(cons(sk5,app(sk8,app(sk4,sk4)))) = sk5,
inference(superposition,[status(thm)],[c_112801,c_10016]) ).
tcf(c_114153,plain,
tl(cons(sk6,app(sk8,app(sk4,sk4)))) = app(sk8,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_112801,c_9887]) ).
tcf(c_114154,plain,
tl(cons(sk5,app(sk8,app(sk4,sk4)))) = app(sk8,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_112801,c_9886]) ).
tcf(c_114155,plain,
( duplicatefreeP(app(sk8,app(sk4,sk4)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_112801,c_6471]) ).
tcf(c_114156,plain,
app(nil,app(sk8,app(sk4,sk4))) = app(sk8,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_112801,c_321]) ).
tcf(c_114157,plain,
app(app(sk8,app(sk4,sk4)),nil) = app(sk8,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_112801,c_320]) ).
tcf(c_114628,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_112423,c_401]) ).
tcf(c_114629,plain,
( ( app(sk7,skaf45(app(sk7,app(sk4,sk8)),sk7)) = app(sk7,app(sk4,sk8)) )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_112423,c_379]) ).
tcf(c_114630,plain,
( ( app(sk7,app(sk4,sk8)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_112423,c_376]) ).
tcf(c_114631,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114628,c_6483,c_89535]) ).
tcf(c_114635,plain,
( ( app(sk7,app(sk4,sk8)) = sk7 )
| ~ frontsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114630,c_6483,c_89535]) ).
tcf(c_114638,plain,
app(sk7,skaf45(app(sk7,app(sk4,sk8)),sk7)) = app(sk7,app(sk4,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_114629,c_6483,c_89535]) ).
tcf(c_114640,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk8,sk4),sk8))
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ rearsegP(X0,app(sk8,sk4))
| ~ ssList(skaf45(app(sk8,sk4),sk8)) ),
inference(superposition,[status(thm)],[c_112737,c_400]) ).
tcf(c_114641,plain,
( ( app(skaf46(app(sk8,sk4),skaf45(app(sk8,sk4),sk8)),skaf45(app(sk8,sk4),sk8)) = app(sk8,sk4) )
| ~ ssList(app(sk8,sk4))
| ~ ssList(skaf45(app(sk8,sk4),sk8)) ),
inference(superposition,[status(thm)],[c_112737,c_378]) ).
tcf(c_114642,plain,
( ( skaf45(app(sk8,sk4),sk8) = app(sk8,sk4) )
| ~ ssList(app(sk8,sk4))
| ~ ssList(skaf45(app(sk8,sk4),sk8))
| ~ rearsegP(skaf45(app(sk8,sk4),sk8),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_112737,c_375]) ).
tcf(c_114643,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk8,sk4),sk8))
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114640,c_112727,c_298]) ).
tcf(c_114647,plain,
( ( skaf45(app(sk8,sk4),sk8) = app(sk8,sk4) )
| ~ rearsegP(skaf45(app(sk8,sk4),sk8),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114642,c_112727,c_298]) ).
tcf(c_114650,plain,
app(skaf46(app(sk8,sk4),skaf45(app(sk8,sk4),sk8)),skaf45(app(sk8,sk4),sk8)) = app(sk8,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_114641,c_112727,c_298]) ).
tcf(c_114662,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk8,X1)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_112748,c_401]) ).
tcf(c_114663,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk8,sk4),X0)) = app(sk8,sk4) )
| ~ ssList(X0)
| ~ frontsegP(sk8,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_112748,c_379]) ).
tcf(c_114664,plain,
! [X0: $i] :
( ( app(sk8,sk4) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk8,X0)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_112748,c_376]) ).
tcf(c_114665,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_112748,c_15594]) ).
tcf(c_114666,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_112748,c_28779]) ).
tcf(c_114667,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_112748,c_26336]) ).
tcf(c_114668,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk8,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_112748,c_75356]) ).
tcf(c_114669,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk8,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_112748,c_75336]) ).
tcf(c_114670,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk8,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_112748,c_75316]) ).
tcf(c_114671,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk8,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_112748,c_84010]) ).
tcf(c_114672,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk8,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_112748,c_83991]) ).
tcf(c_114673,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk8,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_112748,c_82977]) ).
tcf(c_114674,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk8,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_112748,c_84849]) ).
tcf(c_114675,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk8,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_112748,c_84050]) ).
tcf(c_114676,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk8,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_112748,c_84030]) ).
tcf(c_114677,plain,
( frontsegP(app(sk8,sk4),sk4)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(sk8,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_112748,c_92800]) ).
tcf(c_114678,plain,
( frontsegP(app(sk8,sk4),sk4)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_112748,c_89322]) ).
tcf(c_114679,plain,
( frontsegP(app(sk8,sk4),sk4)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(sk8,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_112748,c_91606]) ).
tcf(c_114680,plain,
( frontsegP(app(sk8,sk4),sk4)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(sk8,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_112748,c_91570]) ).
tcf(c_114681,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(sk8,app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_112748,c_112396]) ).
tcf(c_114682,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk8,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_112748,c_108921]) ).
tcf(c_114683,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk8,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_112748,c_107545]) ).
tcf(c_114684,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk8,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_112748,c_107525]) ).
tcf(c_114685,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114667,c_9020,c_112727]) ).
tcf(c_114688,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114666,c_24748,c_112727]) ).
tcf(c_114691,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114665,c_9527,c_112727]) ).
tcf(c_114694,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(sk8,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114681,c_112727,c_89458]) ).
tcf(c_114697,plain,
( frontsegP(app(sk8,sk4),sk4)
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114678,c_112727,c_79152]) ).
tcf(c_114700,plain,
! [X0: $i] :
( ( app(sk8,sk4) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk8,X0)
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114664,c_112727]) ).
tcf(c_114705,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk8,sk4),X0)) = app(sk8,sk4) )
| ~ ssList(X0)
| ~ frontsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114663,c_112727]) ).
tcf(c_114709,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk8,X1)
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114662,c_112727]) ).
tcf(c_114715,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(sk8,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114684,c_112727,c_66402]) ).
tcf(c_114719,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(sk8,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114683,c_112727,c_66402]) ).
tcf(c_114723,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(sk8,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114682,c_112727,c_66402]) ).
tcf(c_114727,plain,
( frontsegP(app(sk8,sk4),sk4)
| ~ frontsegP(sk8,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114680,c_112727,c_79220]) ).
tcf(c_114730,plain,
( frontsegP(app(sk8,sk4),sk4)
| ~ frontsegP(sk8,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114679,c_112727,c_79223]) ).
tcf(c_114733,plain,
( frontsegP(app(sk8,sk4),sk4)
| ~ frontsegP(sk8,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114677,c_112727,c_79226]) ).
tcf(c_114736,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk8,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114676,c_112727,c_28938]) ).
tcf(c_114740,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk8,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114675,c_112727,c_28938]) ).
tcf(c_114744,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk8,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114674,c_112727,c_28938]) ).
tcf(c_114748,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk8,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114673,c_112727,c_28940]) ).
tcf(c_114752,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk8,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114672,c_112727,c_28940]) ).
tcf(c_114756,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk8,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114671,c_112727,c_28940]) ).
tcf(c_114760,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk8,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114670,c_112727,c_28942]) ).
tcf(c_114764,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk8,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114669,c_112727,c_28942]) ).
tcf(c_114768,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk8,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114668,c_112727,c_28942]) ).
tcf(c_114898,plain,
! [X0: $i] :
( ( app(skaf42(app(sk8,sk4),X0),cons(X0,skaf43(X0,app(sk8,sk4)))) = app(sk8,sk4) )
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_112752,c_416]) ).
tcf(c_114900,plain,
! [X0: $i] :
( ( app(skaf42(app(sk8,sk4),X0),cons(X0,skaf43(X0,app(sk8,sk4)))) = app(sk8,sk4) )
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114898,c_112727]) ).
tcf(c_114912,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_384,c_114631]) ).
tcf(c_114913,plain,
! [X0: $i] :
( frontsegP(app(app(sk7,app(sk4,sk8)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(app(sk7,app(sk4,sk8)),X0)) ),
inference(superposition,[status(thm)],[c_808,c_114631]) ).
tcf(c_114914,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_51206,c_114631]) ).
tcf(c_114915,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_51316,c_114631]) ).
tcf(c_114916,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_51801,c_114631]) ).
tcf(c_114917,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_109050,c_114631]) ).
tcf(c_114918,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_79173,c_114631]) ).
tcf(c_114919,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_106522,c_114631]) ).
tcf(c_114920,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_114631]) ).
tcf(c_114922,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_112748,c_114631]) ).
tcf(c_114923,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(iPr_def_12,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_66408,c_114631]) ).
tcf(c_114924,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68249,c_114631]) ).
tcf(c_114925,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68556,c_114631]) ).
tcf(c_114926,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68986,c_114631]) ).
tcf(c_114927,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_12,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114923,c_66402,c_89535]) ).
tcf(c_114930,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114922,c_112727,c_89535]) ).
tcf(c_114933,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114918,c_79152,c_89535]) ).
tcf(c_114936,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114916,c_28938,c_89535]) ).
tcf(c_114939,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114915,c_28940,c_89535]) ).
tcf(c_114942,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114914,c_28942,c_89535]) ).
tcf(c_114945,plain,
! [X0: $i] :
( frontsegP(app(app(sk7,app(sk4,sk8)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(app(sk7,app(sk4,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114913,c_89535]) ).
tcf(c_114949,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114920,c_89535,c_79220]) ).
tcf(c_114952,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114919,c_89535,c_79223]) ).
tcf(c_114955,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114917,c_89535,c_79226]) ).
tcf(c_114958,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk8),app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114926,c_89535,c_68959]) ).
tcf(c_114961,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk7),app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114925,c_89535,c_68529]) ).
tcf(c_114964,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk4),app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114924,c_89535,c_68222]) ).
tcf(c_114967,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114912,c_89535]) ).
tcf(c_114987,plain,
( rearsegP(app(sk8,sk4),nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_21506,c_112759]) ).
tcf(c_114989,plain,
rearsegP(app(sk8,sk4),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_114987,c_255]) ).
tcf(c_115073,plain,
( ( skaf45(iPr_def_13,sk7) = nil )
| ( cons(hd(iPr_def_12),tl(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_29629,c_10794]) ).
tcf(c_115077,plain,
( ( skaf45(sk4,nil) = nil )
| ( cons(hd(sk4),tl(sk4)) = sk4 ) ),
inference(superposition,[status(thm)],[c_14890,c_10794]) ).
tcf(c_115078,plain,
( ( skaf45(sk7,nil) = nil )
| ( cons(hd(sk7),tl(sk7)) = sk7 ) ),
inference(superposition,[status(thm)],[c_14887,c_10794]) ).
tcf(c_115079,plain,
( ( skaf45(sk8,nil) = nil )
| ( cons(hd(sk8),tl(sk8)) = sk8 ) ),
inference(superposition,[status(thm)],[c_14884,c_10794]) ).
tcf(c_115081,plain,
( ( skaf45(iPr_def_14,nil) = nil )
| ( cons(hd(iPr_def_14),tl(iPr_def_14)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_47885,c_10794]) ).
tcf(c_115082,plain,
( ( skaf45(iPr_def_12,nil) = nil )
| ( cons(hd(iPr_def_12),tl(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_47876,c_10794]) ).
tcf(c_115085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf45(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf45(X1,X2)))
| ~ ssList(tl(skaf45(X1,X2)))
| ~ leq(X3,hd(skaf45(X1,X2)))
| ~ leq(hd(skaf45(X1,X2)),X3)
| ~ ssList(app(app(X0,skaf45(X1,X2)),cons(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf45(X1,X2)),tl(skaf45(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10794,c_432]) ).
tcf(c_115086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X3,hd(skaf45(X1,X2)))
| leq(hd(skaf45(X1,X2)),X3)
| ( skaf45(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf45(X1,X2)))
| ~ ssList(tl(skaf45(X1,X2)))
| ~ ssList(app(app(X0,skaf45(X1,X2)),cons(X3,X4)))
| ~ totalorderP(app(app(X0,cons(hd(skaf45(X1,X2)),tl(skaf45(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10794,c_431]) ).
tcf(c_115087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X3,hd(skaf45(X1,X2)))
| lt(hd(skaf45(X1,X2)),X3)
| ( skaf45(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf45(X1,X2)))
| ~ ssList(tl(skaf45(X1,X2)))
| ~ ssList(app(app(X0,skaf45(X1,X2)),cons(X3,X4)))
| ~ strictorderP(app(app(X0,cons(hd(skaf45(X1,X2)),tl(skaf45(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10794,c_430]) ).
tcf(c_115088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(hd(skaf45(X1,X2)),X3)
| ( skaf45(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf45(X1,X2)))
| ~ ssList(tl(skaf45(X1,X2)))
| ~ ssList(app(app(X0,skaf45(X1,X2)),cons(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf45(X1,X2)),tl(skaf45(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10794,c_429]) ).
tcf(c_115089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(hd(skaf45(X1,X2)),X3)
| ( skaf45(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf45(X1,X2)))
| ~ ssList(tl(skaf45(X1,X2)))
| ~ ssList(app(app(X0,skaf45(X1,X2)),cons(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf45(X1,X2)),tl(skaf45(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10794,c_428]) ).
tcf(c_115090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf45(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf45(X1,X2)))
| ~ ssList(tl(skaf45(X1,X2)))
| ~ ssList(app(app(X0,skaf45(X1,X2)),cons(hd(skaf45(X1,X2)),X3)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf45(X1,X2)),tl(skaf45(X1,X2)))),cons(hd(skaf45(X1,X2)),X3))) ),
inference(superposition,[status(thm)],[c_10794,c_426]) ).
tcf(c_115091,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,skaf45(X1,X2)),hd(skaf45(X1,X2)))
| ( skaf45(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf45(X1,X2)))
| ~ ssList(tl(skaf45(X1,X2)))
| ~ ssList(app(X0,cons(hd(skaf45(X1,X2)),tl(skaf45(X1,X2))))) ),
inference(superposition,[status(thm)],[c_10794,c_422]) ).
tcf(c_115092,plain,
! [X0: $i,X1: $i] :
( memberP(skaf45(X0,X1),hd(skaf45(X0,X1)))
| ( skaf45(X0,X1) = nil )
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_10794,c_385]) ).
tcf(c_115094,plain,
! [X0: $i,X1: $i] :
( ( skaf45(X0,X1) = nil )
| ( tl(skaf45(X0,X1)) = nil )
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1)))
| ( skaf45(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10794,c_21847]) ).
tcf(c_115095,plain,
! [X0: $i,X1: $i] :
( ( skaf45(X0,X1) = nil )
| ( tl(skaf45(X0,X1)) = nil )
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1)))
| ( skaf45(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10794,c_21842]) ).
tcf(c_115096,plain,
! [X0: $i,X1: $i] :
( ( skaf45(X0,X1) = nil )
| ( hd(skaf45(X0,X1)) = sk5 )
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1)))
| ( skaf45(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10794,c_21750]) ).
tcf(c_115097,plain,
! [X0: $i,X1: $i] :
( ( skaf45(X0,X1) = nil )
| ( hd(skaf45(X0,X1)) = sk6 )
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1)))
| ( skaf45(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10794,c_21745]) ).
tcf(c_115098,plain,
! [X0: $i,X1: $i] :
( ( skaf45(X0,X1) = nil )
| ( hd(skaf45(X0,X1)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf45(X0,X1))
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_10794,c_21595]) ).
tcf(c_115099,plain,
! [X0: $i,X1: $i] :
( ( skaf45(X0,X1) = nil )
| ( hd(skaf45(X0,X1)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf45(X0,X1))
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_10794,c_21590]) ).
tcf(c_115100,plain,
! [X0: $i,X1: $i] :
( ( skaf45(X0,X1) = nil )
| ( hd(skaf45(X0,X1)) = sk5 )
| ~ frontsegP(skaf45(X0,X1),iPr_def_12)
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_10794,c_21585]) ).
tcf(c_115101,plain,
! [X0: $i,X1: $i] :
( ( skaf45(X0,X1) = nil )
| ( hd(skaf45(X0,X1)) = sk6 )
| ~ frontsegP(skaf45(X0,X1),iPr_def_14)
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_10794,c_21580]) ).
tcf(c_115102,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,tl(skaf45(X0,X1)))
| ( skaf45(X0,X1) = nil )
| ~ frontsegP(iPr_def_12,skaf45(X0,X1))
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_10794,c_21202]) ).
tcf(c_115103,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,tl(skaf45(X0,X1)))
| ( skaf45(X0,X1) = nil )
| ~ frontsegP(iPr_def_14,skaf45(X0,X1))
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_10794,c_21197]) ).
tcf(c_115106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf45(X0,X1) = nil )
| ( hd(skaf45(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1)))
| ~ frontsegP(skaf45(X0,X1),cons(X2,X3)) ),
inference(superposition,[status(thm)],[c_10794,c_423]) ).
tcf(c_115107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(tl(skaf45(X0,X1)),X3)
| ( skaf45(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1)))
| ~ frontsegP(skaf45(X0,X1),cons(X2,X3)) ),
inference(superposition,[status(thm)],[c_10794,c_421]) ).
tcf(c_115108,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(tl(skaf45(X0,X1)),X2)
| ( skaf45(X0,X1) = nil )
| ( hd(skaf45(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1)))
| ~ memberP(skaf45(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10794,c_408]) ).
tcf(c_115109,plain,
! [X0: $i,X1: $i] :
( leq(hd(skaf45(X0,X1)),hd(tl(skaf45(X0,X1))))
| ( skaf45(X0,X1) = nil )
| ( tl(skaf45(X0,X1)) = nil )
| ~ totalorderedP(skaf45(X0,X1))
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_10794,c_382]) ).
tcf(c_115110,plain,
! [X0: $i,X1: $i] :
( lt(hd(skaf45(X0,X1)),hd(tl(skaf45(X0,X1))))
| ( skaf45(X0,X1) = nil )
| ( tl(skaf45(X0,X1)) = nil )
| ~ strictorderedP(skaf45(X0,X1))
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_10794,c_381]) ).
tcf(c_115111,plain,
! [X0: $i,X1: $i] :
( totalorderedP(tl(skaf45(X0,X1)))
| ( skaf45(X0,X1) = nil )
| ( tl(skaf45(X0,X1)) = nil )
| ~ totalorderedP(skaf45(X0,X1))
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_10794,c_372]) ).
tcf(c_115112,plain,
! [X0: $i,X1: $i] :
( strictorderedP(tl(skaf45(X0,X1)))
| ( skaf45(X0,X1) = nil )
| ( tl(skaf45(X0,X1)) = nil )
| ~ strictorderedP(skaf45(X0,X1))
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_10794,c_371]) ).
tcf(c_115113,plain,
! [X0: $i,X1: $i] :
( ( skaf45(X0,X1) = nil )
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1)))
| ( tl(skaf45(X0,X1)) != skaf45(X0,X1) ) ),
inference(superposition,[status(thm)],[c_10794,c_346]) ).
tcf(c_115115,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(cons(hd(skaf45(X1,X2)),X0),skaf45(X1,X2))
| ( skaf45(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf45(X1,X2)))
| ~ ssList(tl(skaf45(X1,X2)))
| ~ frontsegP(X0,tl(skaf45(X1,X2))) ),
inference(superposition,[status(thm)],[c_10794,c_425]) ).
tcf(c_115116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf45(X2,X3) = nil )
| ( hd(skaf45(X2,X3)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf45(X2,X3)))
| ~ ssList(tl(skaf45(X2,X3)))
| ~ ssList(app(X0,cons(X1,skaf45(X2,X3))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf45(X2,X3)),tl(skaf45(X2,X3)))))) ),
inference(superposition,[status(thm)],[c_10794,c_427]) ).
tcf(c_115117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf45(X2,X3) = nil )
| ( tl(skaf45(X2,X3)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf45(X2,X3)))
| ~ ssList(tl(skaf45(X2,X3)))
| ( cons(X0,X1) != skaf45(X2,X3) ) ),
inference(superposition,[status(thm)],[c_10794,c_418]) ).
tcf(c_115118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf45(X2,X3) = nil )
| ( hd(skaf45(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf45(X2,X3)))
| ~ ssList(tl(skaf45(X2,X3)))
| ( cons(X0,X1) != skaf45(X2,X3) ) ),
inference(superposition,[status(thm)],[c_10794,c_417]) ).
tcf(c_115119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf45(X2,X3) = nil )
| ( hd(skaf45(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf45(X2,X3)))
| ~ ssList(tl(skaf45(X2,X3)))
| ~ frontsegP(cons(X0,X1),skaf45(X2,X3)) ),
inference(superposition,[status(thm)],[c_10794,c_423]) ).
tcf(c_115120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X1,tl(skaf45(X2,X3)))
| ( skaf45(X2,X3) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf45(X2,X3)))
| ~ ssList(tl(skaf45(X2,X3)))
| ~ frontsegP(cons(X0,X1),skaf45(X2,X3)) ),
inference(superposition,[status(thm)],[c_10794,c_421]) ).
tcf(c_115121,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf45(X0,X1),cons(hd(skaf45(X0,X1)),X2))
| ( skaf45(X0,X1) = nil )
| ~ ssList(X2)
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1)))
| ~ frontsegP(tl(skaf45(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10794,c_425]) ).
tcf(c_115122,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf45(X0,X1),X2)
| ( skaf45(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssItem(hd(skaf45(X0,X1)))
| ~ ssList(tl(skaf45(X0,X1)))
| ~ memberP(tl(skaf45(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10794,c_386]) ).
tcf(c_115123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf45(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf45(X3,X4)))
| ~ ssList(tl(skaf45(X3,X4)))
| ~ leq(X1,hd(skaf45(X3,X4)))
| ~ leq(hd(skaf45(X3,X4)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf45(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf45(X3,X4)),tl(skaf45(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10794,c_432]) ).
tcf(c_115124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,hd(skaf45(X3,X4)))
| leq(hd(skaf45(X3,X4)),X1)
| ( skaf45(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf45(X3,X4)))
| ~ ssList(tl(skaf45(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf45(X3,X4)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf45(X3,X4)),tl(skaf45(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10794,c_431]) ).
tcf(c_115125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,hd(skaf45(X3,X4)))
| lt(hd(skaf45(X3,X4)),X1)
| ( skaf45(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf45(X3,X4)))
| ~ ssList(tl(skaf45(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf45(X3,X4)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf45(X3,X4)),tl(skaf45(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10794,c_430]) ).
tcf(c_115126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,hd(skaf45(X3,X4)))
| ( skaf45(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf45(X3,X4)))
| ~ ssList(tl(skaf45(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf45(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf45(X3,X4)),tl(skaf45(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10794,c_429]) ).
tcf(c_115127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,hd(skaf45(X3,X4)))
| ( skaf45(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf45(X3,X4)))
| ~ ssList(tl(skaf45(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf45(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf45(X3,X4)),tl(skaf45(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10794,c_428]) ).
tcf(c_115128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf45(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf45(X1,X2)))
| ~ ssList(tl(skaf45(X1,X2)))
| ~ ssList(app(app(X0,cons(hd(skaf45(X1,X2)),X3)),skaf45(X1,X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf45(X1,X2)),X3)),cons(hd(skaf45(X1,X2)),tl(skaf45(X1,X2))))) ),
inference(superposition,[status(thm)],[c_10794,c_426]) ).
tcf(c_115566,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_112794,c_400]) ).
tcf(c_115567,plain,
( ( app(skaf46(app(sk8,app(sk4,sk8)),sk8),sk8) = app(sk8,app(sk4,sk8)) )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_112794,c_378]) ).
tcf(c_115568,plain,
( ( app(sk8,app(sk4,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ rearsegP(sk8,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_112794,c_375]) ).
tcf(c_115569,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115566,c_6482,c_112795]) ).
tcf(c_115573,plain,
( ( app(sk8,app(sk4,sk8)) = sk8 )
| ~ rearsegP(sk8,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115568,c_6482,c_112795]) ).
tcf(c_115576,plain,
app(skaf46(app(sk8,app(sk4,sk8)),sk8),sk8) = app(sk8,app(sk4,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_115567,c_6482,c_112795]) ).
tcf(c_115578,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_112797,c_400]) ).
tcf(c_115579,plain,
( ( app(skaf46(app(sk8,app(sk4,sk7)),sk7),sk7) = app(sk8,app(sk4,sk7)) )
| ~ ssList(sk7)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_112797,c_378]) ).
tcf(c_115580,plain,
( ( app(sk8,app(sk4,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_112797,c_375]) ).
tcf(c_115581,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115578,c_6483,c_112798]) ).
tcf(c_115585,plain,
( ( app(sk8,app(sk4,sk7)) = sk7 )
| ~ rearsegP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115580,c_6483,c_112798]) ).
tcf(c_115588,plain,
app(skaf46(app(sk8,app(sk4,sk7)),sk7),sk7) = app(sk8,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_115579,c_6483,c_112798]) ).
tcf(c_115590,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_112800,c_400]) ).
tcf(c_115591,plain,
( ( app(skaf46(app(sk8,app(sk4,sk4)),sk4),sk4) = app(sk8,app(sk4,sk4)) )
| ~ ssList(sk4)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_112800,c_378]) ).
tcf(c_115592,plain,
( ( app(sk8,app(sk4,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_112800,c_375]) ).
tcf(c_115593,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115590,c_6486,c_112801]) ).
tcf(c_115597,plain,
( ( app(sk8,app(sk4,sk4)) = sk4 )
| ~ rearsegP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115592,c_6486,c_112801]) ).
tcf(c_115600,plain,
app(skaf46(app(sk8,app(sk4,sk4)),sk4),sk4) = app(sk8,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_115591,c_6486,c_112801]) ).
tcf(c_115664,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ rearsegP(X0,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_114989,c_400]) ).
tcf(c_115665,plain,
( ( app(skaf46(app(sk8,sk4),nil),nil) = app(sk8,sk4) )
| ~ ssList(nil)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_114989,c_378]) ).
tcf(c_115666,plain,
( ( app(sk8,sk4) = nil )
| ~ ssList(nil)
| ~ ssList(app(sk8,sk4))
| ~ rearsegP(nil,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_114989,c_375]) ).
tcf(c_115667,plain,
( ( app(sk8,sk4) = nil )
| ~ rearsegP(nil,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115666,c_255,c_112727]) ).
tcf(c_115670,plain,
app(skaf46(app(sk8,sk4),nil),nil) = app(sk8,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_115665,c_255,c_112727]) ).
tcf(c_115672,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_112424,c_401]) ).
tcf(c_115673,plain,
( ( app(sk7,skaf45(app(sk7,app(sk4,sk7)),sk7)) = app(sk7,app(sk4,sk7)) )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_112424,c_379]) ).
tcf(c_115674,plain,
( ( app(sk7,app(sk4,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(sk7,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_112424,c_376]) ).
tcf(c_115675,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115672,c_6483,c_89538]) ).
tcf(c_115679,plain,
( ( app(sk7,app(sk4,sk7)) = sk7 )
| ~ frontsegP(sk7,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115674,c_6483,c_89538]) ).
tcf(c_115682,plain,
app(sk7,skaf45(app(sk7,app(sk4,sk7)),sk7)) = app(sk7,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_115673,c_6483,c_89538]) ).
tcf(c_115684,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_112425,c_401]) ).
tcf(c_115685,plain,
( ( app(sk7,skaf45(app(sk7,app(sk4,sk4)),sk7)) = app(sk7,app(sk4,sk4)) )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_112425,c_379]) ).
tcf(c_115686,plain,
( ( app(sk7,app(sk4,sk4)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_112425,c_376]) ).
tcf(c_115687,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115684,c_6483,c_89541]) ).
tcf(c_115691,plain,
( ( app(sk7,app(sk4,sk4)) = sk7 )
| ~ frontsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115686,c_6483,c_89541]) ).
tcf(c_115694,plain,
app(sk7,skaf45(app(sk7,app(sk4,sk4)),sk7)) = app(sk7,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_115685,c_6483,c_89541]) ).
tcf(c_115706,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_383,c_115569]) ).
tcf(c_115707,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk8,app(sk4,sk8))),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(X0,app(sk8,app(sk4,sk8)))) ),
inference(superposition,[status(thm)],[c_807,c_115569]) ).
tcf(c_115708,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_83159,c_115569]) ).
tcf(c_115709,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_82342,c_115569]) ).
tcf(c_115711,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_107723,c_115569]) ).
tcf(c_115712,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_106791,c_115569]) ).
tcf(c_115714,plain,
( rearsegP(cons(sk5,sk4),sk8)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_66416,c_115569]) ).
tcf(c_115715,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68240,c_115569]) ).
tcf(c_115716,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68547,c_115569]) ).
tcf(c_115717,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68977,c_115569]) ).
tcf(c_115718,plain,
( rearsegP(cons(sk5,sk4),sk8)
| ~ rearsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115714,c_66402,c_112795]) ).
tcf(c_115721,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk8,app(sk4,sk8))),sk8)
| ~ ssList(X0)
| ~ ssList(app(X0,app(sk8,app(sk4,sk8)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115707,c_112795]) ).
tcf(c_115725,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ rearsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115717,c_112795,c_68959]) ).
tcf(c_115728,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ rearsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115716,c_112795,c_68529]) ).
tcf(c_115731,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115715,c_112795,c_68222]) ).
tcf(c_115734,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115712,c_112795,c_89538]) ).
tcf(c_115737,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115711,c_112795,c_89541]) ).
tcf(c_115740,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115709,c_112795,c_79223]) ).
tcf(c_115743,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115708,c_112795,c_79226]) ).
tcf(c_115746,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115706,c_112795]) ).
tcf(c_115820,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_383,c_115581]) ).
tcf(c_115821,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk8,app(sk4,sk7))),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(X0,app(sk8,app(sk4,sk7)))) ),
inference(superposition,[status(thm)],[c_807,c_115581]) ).
tcf(c_115822,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_83159,c_115581]) ).
tcf(c_115824,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(sk8,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_81233,c_115581]) ).
tcf(c_115825,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_107723,c_115581]) ).
tcf(c_115827,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ rearsegP(sk8,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_93147,c_115581]) ).
tcf(c_115828,plain,
( rearsegP(cons(sk5,sk4),sk7)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_66416,c_115581]) ).
tcf(c_115829,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68240,c_115581]) ).
tcf(c_115830,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68547,c_115581]) ).
tcf(c_115831,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68977,c_115581]) ).
tcf(c_115832,plain,
( rearsegP(cons(sk5,sk4),sk7)
| ~ rearsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115828,c_66402,c_112798]) ).
tcf(c_115835,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk8,app(sk4,sk7))),sk7)
| ~ ssList(X0)
| ~ ssList(app(X0,app(sk8,app(sk4,sk7)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115821,c_112798]) ).
tcf(c_115839,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ rearsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115831,c_112798,c_68959]) ).
tcf(c_115842,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ rearsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115830,c_112798,c_68529]) ).
tcf(c_115845,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115829,c_112798,c_68222]) ).
tcf(c_115848,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115827,c_112798,c_89535]) ).
tcf(c_115851,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115825,c_112798,c_89541]) ).
tcf(c_115854,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115824,c_112798,c_79220]) ).
tcf(c_115857,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115822,c_112798,c_79226]) ).
tcf(c_115860,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115820,c_112798]) ).
tcf(c_115875,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_383,c_115593]) ).
tcf(c_115876,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk8,app(sk4,sk4))),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(X0,app(sk8,app(sk4,sk4)))) ),
inference(superposition,[status(thm)],[c_807,c_115593]) ).
tcf(c_115878,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk4)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_82342,c_115593]) ).
tcf(c_115879,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk4)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(sk8,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_81233,c_115593]) ).
tcf(c_115881,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_106791,c_115593]) ).
tcf(c_115882,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ rearsegP(sk8,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_93147,c_115593]) ).
tcf(c_115887,plain,
! [X0: $i] :
( rearsegP(app(X0,app(sk8,app(sk4,sk4))),sk4)
| ~ ssList(X0)
| ~ ssList(app(X0,app(sk8,app(sk4,sk4)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115876,c_112801]) ).
tcf(c_115891,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115882,c_112801,c_89535]) ).
tcf(c_115894,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115881,c_112801,c_89538]) ).
tcf(c_115897,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115879,c_112801,c_79220]) ).
tcf(c_115900,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115878,c_112801,c_79223]) ).
tcf(c_115903,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115875,c_112801]) ).
tcf(c_115977,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_384,c_115675]) ).
tcf(c_115978,plain,
! [X0: $i] :
( frontsegP(app(app(sk7,app(sk4,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(app(sk7,app(sk4,sk7)),X0)) ),
inference(superposition,[status(thm)],[c_808,c_115675]) ).
tcf(c_115979,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_51206,c_115675]) ).
tcf(c_115980,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_51316,c_115675]) ).
tcf(c_115981,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_51801,c_115675]) ).
tcf(c_115982,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_109050,c_115675]) ).
tcf(c_115983,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_79173,c_115675]) ).
tcf(c_115984,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_115675]) ).
tcf(c_115985,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_94043,c_115675]) ).
tcf(c_115987,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_112748,c_115675]) ).
tcf(c_115988,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(iPr_def_12,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_66408,c_115675]) ).
tcf(c_115989,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68249,c_115675]) ).
tcf(c_115990,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68556,c_115675]) ).
tcf(c_115991,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68986,c_115675]) ).
tcf(c_115992,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_12,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115988,c_66402,c_89538]) ).
tcf(c_115995,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115987,c_112727,c_89538]) ).
tcf(c_115998,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115983,c_79152,c_89538]) ).
tcf(c_116001,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115981,c_28938,c_89538]) ).
tcf(c_116004,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115980,c_28940,c_89538]) ).
tcf(c_116007,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115979,c_28942,c_89538]) ).
tcf(c_116010,plain,
! [X0: $i] :
( frontsegP(app(app(sk7,app(sk4,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(app(sk7,app(sk4,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115978,c_89538]) ).
tcf(c_116014,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115985,c_89538,c_79220]) ).
tcf(c_116017,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115984,c_89538,c_79223]) ).
tcf(c_116020,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115982,c_89538,c_79226]) ).
tcf(c_116023,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk8),app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115991,c_89538,c_68959]) ).
tcf(c_116026,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk7),app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115990,c_89538,c_68529]) ).
tcf(c_116029,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk4),app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115989,c_89538,c_68222]) ).
tcf(c_116032,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115977,c_89538]) ).
tcf(c_116047,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_384,c_115687]) ).
tcf(c_116048,plain,
! [X0: $i] :
( frontsegP(app(app(sk7,app(sk4,sk4)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(app(sk7,app(sk4,sk4)),X0)) ),
inference(superposition,[status(thm)],[c_808,c_115687]) ).
tcf(c_116049,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_51206,c_115687]) ).
tcf(c_116050,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_51316,c_115687]) ).
tcf(c_116051,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_51801,c_115687]) ).
tcf(c_116052,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_115687]) ).
tcf(c_116053,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_79173,c_115687]) ).
tcf(c_116054,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_106522,c_115687]) ).
tcf(c_116055,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_94043,c_115687]) ).
tcf(c_116057,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_112748,c_115687]) ).
tcf(c_116058,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(iPr_def_12,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_66408,c_115687]) ).
tcf(c_116059,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68249,c_115687]) ).
tcf(c_116060,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68556,c_115687]) ).
tcf(c_116061,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68986,c_115687]) ).
tcf(c_116062,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(iPr_def_12,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116058,c_66402,c_89541]) ).
tcf(c_116065,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116057,c_112727,c_89541]) ).
tcf(c_116068,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116053,c_79152,c_89541]) ).
tcf(c_116071,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116051,c_28938,c_89541]) ).
tcf(c_116074,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116050,c_28940,c_89541]) ).
tcf(c_116077,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(iPr_def_14,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116049,c_28942,c_89541]) ).
tcf(c_116080,plain,
! [X0: $i] :
( frontsegP(app(app(sk7,app(sk4,sk4)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(app(sk7,app(sk4,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116048,c_89541]) ).
tcf(c_116084,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116055,c_89541,c_79220]) ).
tcf(c_116087,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116054,c_89541,c_79223]) ).
tcf(c_116090,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116052,c_89541,c_79226]) ).
tcf(c_116093,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk8),app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116061,c_89541,c_68959]) ).
tcf(c_116096,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk7),app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116060,c_89541,c_68529]) ).
tcf(c_116099,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(cons(sk6,sk4),app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116059,c_89541,c_68222]) ).
tcf(c_116102,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116047,c_89541]) ).
tcf(c_116199,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk8)),X0),skaf45(app(sk7,app(sk4,sk8)),sk7))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7))
| ~ ssList(app(app(sk7,skaf45(app(sk7,app(sk4,sk8)),sk7)),X0)) ),
inference(superposition,[status(thm)],[c_114638,c_420]) ).
tcf(c_116200,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7))
| ( app(X0,skaf45(app(sk7,app(sk4,sk8)),sk7)) != app(sk7,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_114638,c_398]) ).
tcf(c_116202,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf45(app(sk7,app(sk4,sk8)),sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7)) ),
inference(superposition,[status(thm)],[c_114638,c_405]) ).
tcf(c_116203,plain,
( ( skaf45(app(sk7,app(sk4,sk8)),sk7) = nil )
| ~ ssList(sk7)
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7))
| ( app(sk7,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_114638,c_366]) ).
tcf(c_116204,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7))
| ( app(sk7,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_114638,c_365]) ).
tcf(c_116206,plain,
( rearsegP(app(sk7,app(sk4,sk8)),skaf45(app(sk7,app(sk4,sk8)),sk7))
| ~ ssList(sk7)
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7)) ),
inference(superposition,[status(thm)],[c_114638,c_807]) ).
tcf(c_116207,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7))
| ~ memberP(skaf45(app(sk7,app(sk4,sk8)),sk7),X0) ),
inference(superposition,[status(thm)],[c_114638,c_388]) ).
tcf(c_116208,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7))
| ~ rearsegP(skaf45(app(sk7,app(sk4,sk8)),sk7),X0) ),
inference(superposition,[status(thm)],[c_114638,c_383]) ).
tcf(c_116209,plain,
! [X0: $i] :
( ( skaf45(app(sk7,app(sk4,sk8)),sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7))
| ( app(sk7,app(sk4,sk8)) != app(sk7,X0) ) ),
inference(superposition,[status(thm)],[c_114638,c_397]) ).
tcf(c_116210,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7)) ),
inference(superposition,[status(thm)],[c_114638,c_387]) ).
tcf(c_116211,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7)) ),
inference(superposition,[status(thm)],[c_114638,c_384]) ).
tcf(c_116212,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk8)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7))
| ~ segmentP(skaf45(app(sk7,app(sk4,sk8)),sk7),X0) ),
inference(superposition,[status(thm)],[c_114638,c_419]) ).
tcf(c_116213,plain,
( ( skaf45(app(sk7,app(sk4,sk8)),sk7) = skaf45(iPr_def_16,sk7) )
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7))
| ( app(sk7,app(sk4,sk8)) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_114638,c_26416]) ).
tcf(c_116214,plain,
( ( skaf45(app(sk7,app(sk4,sk8)),sk7) = skaf45(iPr_def_15,sk7) )
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7))
| ( app(sk7,app(sk4,sk8)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_114638,c_24771]) ).
tcf(c_116215,plain,
( ( skaf45(app(sk7,app(sk4,sk8)),sk7) = iPr_def_12 )
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7))
| ( app(sk7,app(sk4,sk8)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_114638,c_17091]) ).
tcf(c_116216,plain,
( ( skaf45(app(sk7,app(sk4,sk8)),sk7) = nil )
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7))
| ( app(sk7,app(sk4,sk8)) != sk7 ) ),
inference(superposition,[status(thm)],[c_114638,c_17074]) ).
tcf(c_116217,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk7)
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7))
| ~ ssList(app(sk7,skaf45(app(sk7,app(sk4,sk8)),sk7))) ),
inference(superposition,[status(thm)],[c_114638,c_20769]) ).
tcf(c_116218,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7)) ),
inference(superposition,[status(thm)],[c_114638,c_20310]) ).
tcf(c_116219,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7)) ),
inference(superposition,[status(thm)],[c_114638,c_20290]) ).
tcf(c_116220,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116219,c_298]) ).
tcf(c_116224,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116218,c_298]) ).
tcf(c_116228,plain,
rearsegP(app(sk7,app(sk4,sk8)),skaf45(app(sk7,app(sk4,sk8)),sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_116206,c_6483,c_298]) ).
tcf(c_116229,plain,
( ( sk7 = nil )
| ( app(sk7,app(sk4,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116204,c_6483,c_298]) ).
tcf(c_116232,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ frontsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116211,c_6483,c_298]) ).
tcf(c_116236,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116210,c_6483,c_298]) ).
tcf(c_116240,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7)) ),
inference(light_normalisation,[status(thm)],[c_116217,c_114638]) ).
tcf(c_116241,plain,
segmentP(app(sk7,app(sk4,sk8)),sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_116240,c_89535,c_298]) ).
tcf(c_116242,plain,
( ( skaf45(app(sk7,app(sk4,sk8)),sk7) = nil )
| ( app(sk7,app(sk4,sk8)) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116216,c_298]) ).
tcf(c_116245,plain,
( ( skaf45(app(sk7,app(sk4,sk8)),sk7) = iPr_def_12 )
| ( app(sk7,app(sk4,sk8)) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116215,c_298]) ).
tcf(c_116248,plain,
( ( skaf45(app(sk7,app(sk4,sk8)),sk7) = skaf45(iPr_def_15,sk7) )
| ( app(sk7,app(sk4,sk8)) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116214,c_298]) ).
tcf(c_116251,plain,
( ( skaf45(app(sk7,app(sk4,sk8)),sk7) = skaf45(iPr_def_16,sk7) )
| ( app(sk7,app(sk4,sk8)) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116213,c_298]) ).
tcf(c_116254,plain,
( ( skaf45(app(sk7,app(sk4,sk8)),sk7) = nil )
| ( app(sk7,app(sk4,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116203,c_6483,c_298]) ).
tcf(c_116257,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(app(sk7,app(sk4,sk8)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116208,c_6483,c_298]) ).
tcf(c_116261,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(app(sk7,app(sk4,sk8)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116207,c_6483,c_298]) ).
tcf(c_116265,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf45(app(sk7,app(sk4,sk8)),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk7,app(sk4,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116202,c_6483,c_298]) ).
tcf(c_116270,plain,
! [X0: $i] :
( ( skaf45(app(sk7,app(sk4,sk8)),sk7) = X0 )
| ~ ssList(X0)
| ( app(sk7,app(sk4,sk8)) != app(sk7,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116209,c_6483,c_298]) ).
tcf(c_116274,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(X0,skaf45(app(sk7,app(sk4,sk8)),sk7)) != app(sk7,app(sk4,sk8)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116200,c_6483,c_298]) ).
tcf(c_116278,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk8)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(app(sk7,app(sk4,sk8)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116212,c_6483,c_298]) ).
tcf(c_116283,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk8)),X0),skaf45(app(sk7,app(sk4,sk8)),sk7))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7))
| ~ ssList(app(app(sk7,app(sk4,sk8)),X0)) ),
inference(light_normalisation,[status(thm)],[c_116199,c_114638]) ).
tcf(c_116284,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk8)),X0),skaf45(app(sk7,app(sk4,sk8)),sk7))
| ~ ssList(X0)
| ~ ssList(app(app(sk7,app(sk4,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116283,c_6483,c_298]) ).
tcf(c_116364,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk7,app(sk4,sk8)),sk7))
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk8)))
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7)) ),
inference(superposition,[status(thm)],[c_116228,c_400]) ).
tcf(c_116365,plain,
( ( app(skaf46(app(sk7,app(sk4,sk8)),skaf45(app(sk7,app(sk4,sk8)),sk7)),skaf45(app(sk7,app(sk4,sk8)),sk7)) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7)) ),
inference(superposition,[status(thm)],[c_116228,c_378]) ).
tcf(c_116366,plain,
( ( skaf45(app(sk7,app(sk4,sk8)),sk7) = app(sk7,app(sk4,sk8)) )
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(skaf45(app(sk7,app(sk4,sk8)),sk7))
| ~ rearsegP(skaf45(app(sk7,app(sk4,sk8)),sk7),app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_116228,c_375]) ).
tcf(c_116367,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk7,app(sk4,sk8)),sk7))
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116364,c_89535,c_298]) ).
tcf(c_116371,plain,
( ( skaf45(app(sk7,app(sk4,sk8)),sk7) = app(sk7,app(sk4,sk8)) )
| ~ rearsegP(skaf45(app(sk7,app(sk4,sk8)),sk7),app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116366,c_89535,c_298]) ).
tcf(c_116374,plain,
app(skaf46(app(sk7,app(sk4,sk8)),skaf45(app(sk7,app(sk4,sk8)),sk7)),skaf45(app(sk7,app(sk4,sk8)),sk7)) = app(sk7,app(sk4,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_116365,c_89535,c_298]) ).
tcf(c_116415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf43(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf43(X1,X2)))
| ~ ssList(tl(skaf43(X1,X2)))
| ~ leq(X3,hd(skaf43(X1,X2)))
| ~ leq(hd(skaf43(X1,X2)),X3)
| ~ ssList(app(app(X0,skaf43(X1,X2)),cons(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf43(X1,X2)),tl(skaf43(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10795,c_432]) ).
tcf(c_116416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X3,hd(skaf43(X1,X2)))
| leq(hd(skaf43(X1,X2)),X3)
| ( skaf43(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf43(X1,X2)))
| ~ ssList(tl(skaf43(X1,X2)))
| ~ ssList(app(app(X0,skaf43(X1,X2)),cons(X3,X4)))
| ~ totalorderP(app(app(X0,cons(hd(skaf43(X1,X2)),tl(skaf43(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10795,c_431]) ).
tcf(c_116417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X3,hd(skaf43(X1,X2)))
| lt(hd(skaf43(X1,X2)),X3)
| ( skaf43(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf43(X1,X2)))
| ~ ssList(tl(skaf43(X1,X2)))
| ~ ssList(app(app(X0,skaf43(X1,X2)),cons(X3,X4)))
| ~ strictorderP(app(app(X0,cons(hd(skaf43(X1,X2)),tl(skaf43(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10795,c_430]) ).
tcf(c_116418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(hd(skaf43(X1,X2)),X3)
| ( skaf43(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf43(X1,X2)))
| ~ ssList(tl(skaf43(X1,X2)))
| ~ ssList(app(app(X0,skaf43(X1,X2)),cons(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf43(X1,X2)),tl(skaf43(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10795,c_429]) ).
tcf(c_116419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(hd(skaf43(X1,X2)),X3)
| ( skaf43(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf43(X1,X2)))
| ~ ssList(tl(skaf43(X1,X2)))
| ~ ssList(app(app(X0,skaf43(X1,X2)),cons(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf43(X1,X2)),tl(skaf43(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10795,c_428]) ).
tcf(c_116420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf43(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf43(X1,X2)))
| ~ ssList(tl(skaf43(X1,X2)))
| ~ ssList(app(app(X0,skaf43(X1,X2)),cons(hd(skaf43(X1,X2)),X3)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf43(X1,X2)),tl(skaf43(X1,X2)))),cons(hd(skaf43(X1,X2)),X3))) ),
inference(superposition,[status(thm)],[c_10795,c_426]) ).
tcf(c_116421,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,skaf43(X1,X2)),hd(skaf43(X1,X2)))
| ( skaf43(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf43(X1,X2)))
| ~ ssList(tl(skaf43(X1,X2)))
| ~ ssList(app(X0,cons(hd(skaf43(X1,X2)),tl(skaf43(X1,X2))))) ),
inference(superposition,[status(thm)],[c_10795,c_422]) ).
tcf(c_116422,plain,
! [X0: $i,X1: $i] :
( memberP(skaf43(X0,X1),hd(skaf43(X0,X1)))
| ( skaf43(X0,X1) = nil )
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_10795,c_385]) ).
tcf(c_116424,plain,
! [X0: $i,X1: $i] :
( ( skaf43(X0,X1) = nil )
| ( tl(skaf43(X0,X1)) = nil )
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1)))
| ( skaf43(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10795,c_21847]) ).
tcf(c_116425,plain,
! [X0: $i,X1: $i] :
( ( skaf43(X0,X1) = nil )
| ( tl(skaf43(X0,X1)) = nil )
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1)))
| ( skaf43(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10795,c_21842]) ).
tcf(c_116426,plain,
! [X0: $i,X1: $i] :
( ( skaf43(X0,X1) = nil )
| ( hd(skaf43(X0,X1)) = sk5 )
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1)))
| ( skaf43(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10795,c_21750]) ).
tcf(c_116427,plain,
! [X0: $i,X1: $i] :
( ( skaf43(X0,X1) = nil )
| ( hd(skaf43(X0,X1)) = sk6 )
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1)))
| ( skaf43(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10795,c_21745]) ).
tcf(c_116428,plain,
! [X0: $i,X1: $i] :
( ( skaf43(X0,X1) = nil )
| ( hd(skaf43(X0,X1)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf43(X0,X1))
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_10795,c_21595]) ).
tcf(c_116429,plain,
! [X0: $i,X1: $i] :
( ( skaf43(X0,X1) = nil )
| ( hd(skaf43(X0,X1)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf43(X0,X1))
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_10795,c_21590]) ).
tcf(c_116430,plain,
! [X0: $i,X1: $i] :
( ( skaf43(X0,X1) = nil )
| ( hd(skaf43(X0,X1)) = sk5 )
| ~ frontsegP(skaf43(X0,X1),iPr_def_12)
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_10795,c_21585]) ).
tcf(c_116431,plain,
! [X0: $i,X1: $i] :
( ( skaf43(X0,X1) = nil )
| ( hd(skaf43(X0,X1)) = sk6 )
| ~ frontsegP(skaf43(X0,X1),iPr_def_14)
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_10795,c_21580]) ).
tcf(c_116432,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,tl(skaf43(X0,X1)))
| ( skaf43(X0,X1) = nil )
| ~ frontsegP(iPr_def_12,skaf43(X0,X1))
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_10795,c_21202]) ).
tcf(c_116433,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,tl(skaf43(X0,X1)))
| ( skaf43(X0,X1) = nil )
| ~ frontsegP(iPr_def_14,skaf43(X0,X1))
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_10795,c_21197]) ).
tcf(c_116436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf43(X0,X1) = nil )
| ( hd(skaf43(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1)))
| ~ frontsegP(skaf43(X0,X1),cons(X2,X3)) ),
inference(superposition,[status(thm)],[c_10795,c_423]) ).
tcf(c_116437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(tl(skaf43(X0,X1)),X3)
| ( skaf43(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1)))
| ~ frontsegP(skaf43(X0,X1),cons(X2,X3)) ),
inference(superposition,[status(thm)],[c_10795,c_421]) ).
tcf(c_116438,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(tl(skaf43(X0,X1)),X2)
| ( skaf43(X0,X1) = nil )
| ( hd(skaf43(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1)))
| ~ memberP(skaf43(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10795,c_408]) ).
tcf(c_116439,plain,
! [X0: $i,X1: $i] :
( leq(hd(skaf43(X0,X1)),hd(tl(skaf43(X0,X1))))
| ( skaf43(X0,X1) = nil )
| ( tl(skaf43(X0,X1)) = nil )
| ~ totalorderedP(skaf43(X0,X1))
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_10795,c_382]) ).
tcf(c_116440,plain,
! [X0: $i,X1: $i] :
( lt(hd(skaf43(X0,X1)),hd(tl(skaf43(X0,X1))))
| ( skaf43(X0,X1) = nil )
| ( tl(skaf43(X0,X1)) = nil )
| ~ strictorderedP(skaf43(X0,X1))
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_10795,c_381]) ).
tcf(c_116441,plain,
! [X0: $i,X1: $i] :
( totalorderedP(tl(skaf43(X0,X1)))
| ( skaf43(X0,X1) = nil )
| ( tl(skaf43(X0,X1)) = nil )
| ~ totalorderedP(skaf43(X0,X1))
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_10795,c_372]) ).
tcf(c_116442,plain,
! [X0: $i,X1: $i] :
( strictorderedP(tl(skaf43(X0,X1)))
| ( skaf43(X0,X1) = nil )
| ( tl(skaf43(X0,X1)) = nil )
| ~ strictorderedP(skaf43(X0,X1))
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_10795,c_371]) ).
tcf(c_116443,plain,
! [X0: $i,X1: $i] :
( ( skaf43(X0,X1) = nil )
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1)))
| ( tl(skaf43(X0,X1)) != skaf43(X0,X1) ) ),
inference(superposition,[status(thm)],[c_10795,c_346]) ).
tcf(c_116445,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(cons(hd(skaf43(X1,X2)),X0),skaf43(X1,X2))
| ( skaf43(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf43(X1,X2)))
| ~ ssList(tl(skaf43(X1,X2)))
| ~ frontsegP(X0,tl(skaf43(X1,X2))) ),
inference(superposition,[status(thm)],[c_10795,c_425]) ).
tcf(c_116446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf43(X2,X3) = nil )
| ( hd(skaf43(X2,X3)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf43(X2,X3)))
| ~ ssList(tl(skaf43(X2,X3)))
| ~ ssList(app(X0,cons(X1,skaf43(X2,X3))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf43(X2,X3)),tl(skaf43(X2,X3)))))) ),
inference(superposition,[status(thm)],[c_10795,c_427]) ).
tcf(c_116447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf43(X2,X3) = nil )
| ( tl(skaf43(X2,X3)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf43(X2,X3)))
| ~ ssList(tl(skaf43(X2,X3)))
| ( cons(X0,X1) != skaf43(X2,X3) ) ),
inference(superposition,[status(thm)],[c_10795,c_418]) ).
tcf(c_116448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf43(X2,X3) = nil )
| ( hd(skaf43(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf43(X2,X3)))
| ~ ssList(tl(skaf43(X2,X3)))
| ( cons(X0,X1) != skaf43(X2,X3) ) ),
inference(superposition,[status(thm)],[c_10795,c_417]) ).
tcf(c_116449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf43(X2,X3) = nil )
| ( hd(skaf43(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf43(X2,X3)))
| ~ ssList(tl(skaf43(X2,X3)))
| ~ frontsegP(cons(X0,X1),skaf43(X2,X3)) ),
inference(superposition,[status(thm)],[c_10795,c_423]) ).
tcf(c_116450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X1,tl(skaf43(X2,X3)))
| ( skaf43(X2,X3) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf43(X2,X3)))
| ~ ssList(tl(skaf43(X2,X3)))
| ~ frontsegP(cons(X0,X1),skaf43(X2,X3)) ),
inference(superposition,[status(thm)],[c_10795,c_421]) ).
tcf(c_116451,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf43(X0,X1),cons(hd(skaf43(X0,X1)),X2))
| ( skaf43(X0,X1) = nil )
| ~ ssList(X2)
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1)))
| ~ frontsegP(tl(skaf43(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10795,c_425]) ).
tcf(c_116452,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf43(X0,X1),X2)
| ( skaf43(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssItem(hd(skaf43(X0,X1)))
| ~ ssList(tl(skaf43(X0,X1)))
| ~ memberP(tl(skaf43(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10795,c_386]) ).
tcf(c_116453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf43(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf43(X3,X4)))
| ~ ssList(tl(skaf43(X3,X4)))
| ~ leq(X1,hd(skaf43(X3,X4)))
| ~ leq(hd(skaf43(X3,X4)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf43(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf43(X3,X4)),tl(skaf43(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10795,c_432]) ).
tcf(c_116454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,hd(skaf43(X3,X4)))
| leq(hd(skaf43(X3,X4)),X1)
| ( skaf43(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf43(X3,X4)))
| ~ ssList(tl(skaf43(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf43(X3,X4)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf43(X3,X4)),tl(skaf43(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10795,c_431]) ).
tcf(c_116455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,hd(skaf43(X3,X4)))
| lt(hd(skaf43(X3,X4)),X1)
| ( skaf43(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf43(X3,X4)))
| ~ ssList(tl(skaf43(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf43(X3,X4)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf43(X3,X4)),tl(skaf43(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10795,c_430]) ).
tcf(c_116456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,hd(skaf43(X3,X4)))
| ( skaf43(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf43(X3,X4)))
| ~ ssList(tl(skaf43(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf43(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf43(X3,X4)),tl(skaf43(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10795,c_429]) ).
tcf(c_116457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,hd(skaf43(X3,X4)))
| ( skaf43(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf43(X3,X4)))
| ~ ssList(tl(skaf43(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf43(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf43(X3,X4)),tl(skaf43(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10795,c_428]) ).
tcf(c_116458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf43(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf43(X1,X2)))
| ~ ssList(tl(skaf43(X1,X2)))
| ~ ssList(app(app(X0,cons(hd(skaf43(X1,X2)),X3)),skaf43(X1,X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf43(X1,X2)),X3)),cons(hd(skaf43(X1,X2)),tl(skaf43(X1,X2))))) ),
inference(superposition,[status(thm)],[c_10795,c_426]) ).
tcf(c_117067,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf80(X0))))
| ( app(iPr_def_14,skaf80(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf80(X0)))
| ~ ssList(app(iPr_def_14,skaf80(X0))) ),
inference(superposition,[status(thm)],[c_111505,c_407]) ).
tcf(c_117068,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf80(X0))))
| ( app(iPr_def_14,skaf80(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf80(X0)))
| ~ ssList(app(iPr_def_14,skaf80(X0))) ),
inference(superposition,[status(thm)],[c_111505,c_406]) ).
tcf(c_117084,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf77(X0))))
| ( app(iPr_def_14,skaf77(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf77(X0)))
| ~ ssList(app(iPr_def_14,skaf77(X0))) ),
inference(superposition,[status(thm)],[c_111506,c_407]) ).
tcf(c_117085,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf77(X0))))
| ( app(iPr_def_14,skaf77(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf77(X0)))
| ~ ssList(app(iPr_def_14,skaf77(X0))) ),
inference(superposition,[status(thm)],[c_111506,c_406]) ).
tcf(c_117118,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf76(X0))))
| ( app(iPr_def_14,skaf76(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf76(X0)))
| ~ ssList(app(iPr_def_14,skaf76(X0))) ),
inference(superposition,[status(thm)],[c_111507,c_407]) ).
tcf(c_117119,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf76(X0))))
| ( app(iPr_def_14,skaf76(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf76(X0)))
| ~ ssList(app(iPr_def_14,skaf76(X0))) ),
inference(superposition,[status(thm)],[c_111507,c_406]) ).
tcf(c_117135,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(X0,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_116241,c_399]) ).
tcf(c_117136,plain,
( ( app(app(skaf47(app(sk7,app(sk4,sk8)),sk7),sk7),skaf48(sk7,app(sk7,app(sk4,sk8)))) = app(sk7,app(sk4,sk8)) )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_116241,c_415]) ).
tcf(c_117137,plain,
( ( app(sk7,app(sk4,sk8)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk7,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_116241,c_374]) ).
tcf(c_117138,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ segmentP(X0,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117135,c_6483,c_89535]) ).
tcf(c_117142,plain,
( ( app(sk7,app(sk4,sk8)) = sk7 )
| ~ segmentP(sk7,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117137,c_6483,c_89535]) ).
tcf(c_117145,plain,
app(app(skaf47(app(sk7,app(sk4,sk8)),sk7),sk7),skaf48(sk7,app(sk7,app(sk4,sk8)))) = app(sk7,app(sk4,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_117136,c_6483,c_89535]) ).
tcf(c_117196,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf75(X0))))
| ( app(iPr_def_14,skaf75(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf75(X0)))
| ~ ssList(app(iPr_def_14,skaf75(X0))) ),
inference(superposition,[status(thm)],[c_111508,c_407]) ).
tcf(c_117197,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf75(X0))))
| ( app(iPr_def_14,skaf75(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf75(X0)))
| ~ ssList(app(iPr_def_14,skaf75(X0))) ),
inference(superposition,[status(thm)],[c_111508,c_406]) ).
tcf(c_117213,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf73(X0))))
| ( app(iPr_def_14,skaf73(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf73(X0)))
| ~ ssList(app(iPr_def_14,skaf73(X0))) ),
inference(superposition,[status(thm)],[c_111509,c_407]) ).
tcf(c_117214,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf73(X0))))
| ( app(iPr_def_14,skaf73(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf73(X0)))
| ~ ssList(app(iPr_def_14,skaf73(X0))) ),
inference(superposition,[status(thm)],[c_111509,c_406]) ).
tcf(c_117230,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf72(X0))))
| ( app(iPr_def_14,skaf72(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf72(X0)))
| ~ ssList(app(iPr_def_14,skaf72(X0))) ),
inference(superposition,[status(thm)],[c_111510,c_407]) ).
tcf(c_117231,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf72(X0))))
| ( app(iPr_def_14,skaf72(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf72(X0)))
| ~ ssList(app(iPr_def_14,skaf72(X0))) ),
inference(superposition,[status(thm)],[c_111510,c_406]) ).
tcf(c_117257,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk7,X1)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_116232,c_401]) ).
tcf(c_117258,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk7,app(sk4,sk8)),X0)) = app(sk7,app(sk4,sk8)) )
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_116232,c_379]) ).
tcf(c_117259,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk8)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_116232,c_376]) ).
tcf(c_117272,plain,
( frontsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_116232,c_92800]) ).
tcf(c_117273,plain,
( frontsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk7,app(sk4,sk4))
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_116232,c_89322]) ).
tcf(c_117274,plain,
( frontsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(sk7,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_116232,c_91606]) ).
tcf(c_117275,plain,
( frontsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_116232,c_91570]) ).
tcf(c_117283,plain,
( frontsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ frontsegP(sk7,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117273,c_79152,c_89535]) ).
tcf(c_117286,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk7,X1)
| ~ frontsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117257,c_89535]) ).
tcf(c_117292,plain,
( frontsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ frontsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117275,c_89535,c_79220]) ).
tcf(c_117295,plain,
( frontsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ frontsegP(sk7,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117274,c_89535,c_79223]) ).
tcf(c_117298,plain,
( frontsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ frontsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117272,c_89535,c_79226]) ).
tcf(c_117301,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk8)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ frontsegP(X0,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117259,c_89535]) ).
tcf(c_117306,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk7,app(sk4,sk8)),X0)) = app(sk7,app(sk4,sk8)) )
| ~ ssList(X0)
| ~ frontsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117258,c_89535]) ).
tcf(c_117365,plain,
! [X0: $i] :
( ( app(skaf42(app(sk7,app(sk4,sk8)),X0),cons(X0,skaf43(X0,app(sk7,app(sk4,sk8))))) = app(sk7,app(sk4,sk8)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_116236,c_416]) ).
tcf(c_117367,plain,
! [X0: $i] :
( ( app(skaf42(app(sk7,app(sk4,sk8)),X0),cons(X0,skaf43(X0,app(sk7,app(sk4,sk8))))) = app(sk7,app(sk4,sk8)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117365,c_89535]) ).
tcf(c_117379,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk7)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_419,c_117138]) ).
tcf(c_117380,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,app(sk7,app(sk4,sk8))),X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(app(X0,app(sk7,app(sk4,sk8))),X1)) ),
inference(superposition,[status(thm)],[c_420,c_117138]) ).
tcf(c_117381,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(iPr_def_12,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_20331,c_117138]) ).
tcf(c_117382,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_20339,c_117138]) ).
tcf(c_117383,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(nil,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_20315,c_117138]) ).
tcf(c_117384,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_20295,c_117138]) ).
tcf(c_117387,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(nil,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_20305,c_117138]) ).
tcf(c_117388,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_20285,c_117138]) ).
tcf(c_117389,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_36763,c_117138]) ).
tcf(c_117390,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_36958,c_117138]) ).
tcf(c_117391,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_37047,c_117138]) ).
tcf(c_117392,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_38396,c_117138]) ).
tcf(c_117393,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_38769,c_117138]) ).
tcf(c_117394,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39419,c_117138]) ).
tcf(c_117395,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_41217,c_117138]) ).
tcf(c_117396,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_41665,c_117138]) ).
tcf(c_117398,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_43065,c_117138]) ).
tcf(c_117399,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_43810,c_117138]) ).
tcf(c_117400,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_44222,c_117138]) ).
tcf(c_117401,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_46269,c_117138]) ).
tcf(c_117402,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_46627,c_117138]) ).
tcf(c_117403,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_46935,c_117138]) ).
tcf(c_117410,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_57364,c_117138]) ).
tcf(c_117411,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_57774,c_117138]) ).
tcf(c_117412,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_58149,c_117138]) ).
tcf(c_117413,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_59837,c_117138]) ).
tcf(c_117414,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_60305,c_117138]) ).
tcf(c_117415,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk7)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_60713,c_117138]) ).
tcf(c_117416,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk7)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_62324,c_117138]) ).
tcf(c_117417,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk7)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_62735,c_117138]) ).
tcf(c_117418,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk7)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_63072,c_117138]) ).
tcf(c_117419,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_66437,c_117138]) ).
tcf(c_117420,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68224,c_117138]) ).
tcf(c_117422,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68961,c_117138]) ).
tcf(c_117423,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_77726,c_117138]) ).
tcf(c_117424,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117388,c_89535]) ).
tcf(c_117429,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(nil,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117387,c_89535]) ).
tcf(c_117434,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117384,c_89535]) ).
tcf(c_117439,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(nil,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117383,c_89535]) ).
tcf(c_117444,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117382,c_89535]) ).
tcf(c_117449,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(iPr_def_12,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117381,c_89535]) ).
tcf(c_117454,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117423,c_89535,c_66447]) ).
tcf(c_117457,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk7)
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117422,c_89535,c_68959]) ).
tcf(c_117460,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117420,c_89535,c_68222]) ).
tcf(c_117463,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk7)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117418,c_89535]) ).
tcf(c_117467,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk7)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117417,c_89535]) ).
tcf(c_117471,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk7)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117416,c_89535]) ).
tcf(c_117475,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk7)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117415,c_89535]) ).
tcf(c_117479,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117414,c_89535]) ).
tcf(c_117483,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117413,c_89535]) ).
tcf(c_117487,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk7)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117412,c_89535]) ).
tcf(c_117491,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk7)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117411,c_89535]) ).
tcf(c_117495,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk7)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117410,c_89535]) ).
tcf(c_117502,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117400,c_112795,c_89535]) ).
tcf(c_117505,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117399,c_112798,c_89535]) ).
tcf(c_117508,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117398,c_112801,c_89535]) ).
tcf(c_117511,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117396,c_89535,c_89538]) ).
tcf(c_117514,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117395,c_89535,c_89541]) ).
tcf(c_117517,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117394,c_89535,c_79220]) ).
tcf(c_117520,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117393,c_89535,c_79223]) ).
tcf(c_117523,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117392,c_89535,c_79226]) ).
tcf(c_117526,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117419,c_89535]) ).
tcf(c_117531,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117391,c_89535]) ).
tcf(c_117537,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117389,c_89535]) ).
tcf(c_117542,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,app(sk7,app(sk4,sk8))),X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,app(sk7,app(sk4,sk8))),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117380,c_89535]) ).
tcf(c_117547,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk7)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117379,c_89535]) ).
tcf(c_117759,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8))
| ~ ssList(app(app(skaf46(app(sk8,app(sk4,sk8)),sk8),sk8),X0)) ),
inference(superposition,[status(thm)],[c_115576,c_420]) ).
tcf(c_117760,plain,
! [X0: $i] :
( ( skaf46(app(sk8,app(sk4,sk8)),sk8) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8))
| ( app(sk8,app(sk4,sk8)) != app(X0,sk8) ) ),
inference(superposition,[status(thm)],[c_115576,c_398]) ).
tcf(c_117762,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf46(app(sk8,app(sk4,sk8)),sk8),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_115576,c_405]) ).
tcf(c_117763,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8))
| ( app(sk8,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_115576,c_366]) ).
tcf(c_117764,plain,
( ( skaf46(app(sk8,app(sk4,sk8)),sk8) = nil )
| ~ ssList(sk8)
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8))
| ( app(sk8,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_115576,c_365]) ).
tcf(c_117765,plain,
( frontsegP(app(sk8,app(sk4,sk8)),skaf46(app(sk8,app(sk4,sk8)),sk8))
| ~ ssList(sk8)
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_115576,c_808]) ).
tcf(c_117767,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_115576,c_388]) ).
tcf(c_117768,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_115576,c_383]) ).
tcf(c_117769,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8))
| ( app(skaf46(app(sk8,app(sk4,sk8)),sk8),X0) != app(sk8,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_115576,c_397]) ).
tcf(c_117770,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8))
| ~ memberP(skaf46(app(sk8,app(sk4,sk8)),sk8),X0) ),
inference(superposition,[status(thm)],[c_115576,c_387]) ).
tcf(c_117771,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8))
| ~ frontsegP(skaf46(app(sk8,app(sk4,sk8)),sk8),X0) ),
inference(superposition,[status(thm)],[c_115576,c_384]) ).
tcf(c_117772,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk8)),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_115576,c_419]) ).
tcf(c_117773,plain,
( ( skaf46(app(sk8,app(sk4,sk8)),sk8) = iPr_def_14 )
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8))
| ( app(sk8,app(sk4,sk8)) != cons(sk6,sk8) ) ),
inference(superposition,[status(thm)],[c_115576,c_51820]) ).
tcf(c_117774,plain,
( ( skaf46(app(sk8,app(sk4,sk8)),sk8) = nil )
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8))
| ( app(sk8,app(sk4,sk8)) != sk8 ) ),
inference(superposition,[status(thm)],[c_115576,c_17621]) ).
tcf(c_117775,plain,
frontsegP(app(sk8,app(sk4,sk8)),skaf46(app(sk8,app(sk4,sk8)),sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_117765,c_6482,c_297]) ).
tcf(c_117776,plain,
( ( sk8 = nil )
| ( app(sk8,app(sk4,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117763,c_6482,c_297]) ).
tcf(c_117779,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117768,c_6482,c_297]) ).
tcf(c_117783,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117767,c_6482,c_297]) ).
tcf(c_117787,plain,
( ( skaf46(app(sk8,app(sk4,sk8)),sk8) = nil )
| ( app(sk8,app(sk4,sk8)) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117774,c_297]) ).
tcf(c_117790,plain,
( ( skaf46(app(sk8,app(sk4,sk8)),sk8) = iPr_def_14 )
| ( app(sk8,app(sk4,sk8)) != cons(sk6,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117773,c_297]) ).
tcf(c_117793,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk8)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117772,c_6482,c_297]) ).
tcf(c_117798,plain,
( ( skaf46(app(sk8,app(sk4,sk8)),sk8) = nil )
| ( app(sk8,app(sk4,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117764,c_6482,c_297]) ).
tcf(c_117801,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(app(sk8,app(sk4,sk8)),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117771,c_6482,c_297]) ).
tcf(c_117805,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(app(sk8,app(sk4,sk8)),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117770,c_6482,c_297]) ).
tcf(c_117809,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf46(app(sk8,app(sk4,sk8)),sk8),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk8,app(sk4,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117762,c_6482,c_297]) ).
tcf(c_117814,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ( app(skaf46(app(sk8,app(sk4,sk8)),sk8),X0) != app(sk8,app(sk4,sk8)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117769,c_6482,c_297]) ).
tcf(c_117818,plain,
! [X0: $i] :
( ( skaf46(app(sk8,app(sk4,sk8)),sk8) = X0 )
| ~ ssList(X0)
| ( app(sk8,app(sk4,sk8)) != app(X0,sk8) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117760,c_6482,c_297]) ).
tcf(c_117822,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk8)),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8))
| ~ ssList(app(app(sk8,app(sk4,sk8)),X0)) ),
inference(light_normalisation,[status(thm)],[c_117759,c_115576]) ).
tcf(c_117823,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk8)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(app(sk8,app(sk4,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117822,c_6482,c_297]) ).
tcf(c_117883,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk8,app(sk4,sk8)),sk8))
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk8)))
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_117775,c_401]) ).
tcf(c_117884,plain,
( ( app(skaf46(app(sk8,app(sk4,sk8)),sk8),skaf45(app(sk8,app(sk4,sk8)),skaf46(app(sk8,app(sk4,sk8)),sk8))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_117775,c_379]) ).
tcf(c_117885,plain,
( ( skaf46(app(sk8,app(sk4,sk8)),sk8) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(skaf46(app(sk8,app(sk4,sk8)),sk8))
| ~ frontsegP(skaf46(app(sk8,app(sk4,sk8)),sk8),app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_117775,c_376]) ).
tcf(c_117886,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk8,app(sk4,sk8)),sk8))
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117883,c_112795,c_297]) ).
tcf(c_117890,plain,
( ( skaf46(app(sk8,app(sk4,sk8)),sk8) = app(sk8,app(sk4,sk8)) )
| ~ frontsegP(skaf46(app(sk8,app(sk4,sk8)),sk8),app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117885,c_112795,c_297]) ).
tcf(c_117893,plain,
app(skaf46(app(sk8,app(sk4,sk8)),sk8),skaf45(app(sk8,app(sk4,sk8)),skaf46(app(sk8,app(sk4,sk8)),sk8))) = app(sk8,app(sk4,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_117884,c_112795,c_297]) ).
tcf(c_117950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf42(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf42(X1,X2)))
| ~ ssList(tl(skaf42(X1,X2)))
| ~ leq(X3,hd(skaf42(X1,X2)))
| ~ leq(hd(skaf42(X1,X2)),X3)
| ~ ssList(app(app(X0,skaf42(X1,X2)),cons(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(hd(skaf42(X1,X2)),tl(skaf42(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10796,c_432]) ).
tcf(c_117951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X3,hd(skaf42(X1,X2)))
| leq(hd(skaf42(X1,X2)),X3)
| ( skaf42(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf42(X1,X2)))
| ~ ssList(tl(skaf42(X1,X2)))
| ~ ssList(app(app(X0,skaf42(X1,X2)),cons(X3,X4)))
| ~ totalorderP(app(app(X0,cons(hd(skaf42(X1,X2)),tl(skaf42(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10796,c_431]) ).
tcf(c_117952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X3,hd(skaf42(X1,X2)))
| lt(hd(skaf42(X1,X2)),X3)
| ( skaf42(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf42(X1,X2)))
| ~ ssList(tl(skaf42(X1,X2)))
| ~ ssList(app(app(X0,skaf42(X1,X2)),cons(X3,X4)))
| ~ strictorderP(app(app(X0,cons(hd(skaf42(X1,X2)),tl(skaf42(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10796,c_430]) ).
tcf(c_117953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(hd(skaf42(X1,X2)),X3)
| ( skaf42(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf42(X1,X2)))
| ~ ssList(tl(skaf42(X1,X2)))
| ~ ssList(app(app(X0,skaf42(X1,X2)),cons(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(hd(skaf42(X1,X2)),tl(skaf42(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10796,c_429]) ).
tcf(c_117954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(hd(skaf42(X1,X2)),X3)
| ( skaf42(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(hd(skaf42(X1,X2)))
| ~ ssList(tl(skaf42(X1,X2)))
| ~ ssList(app(app(X0,skaf42(X1,X2)),cons(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(hd(skaf42(X1,X2)),tl(skaf42(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_10796,c_428]) ).
tcf(c_117955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf42(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf42(X1,X2)))
| ~ ssList(tl(skaf42(X1,X2)))
| ~ ssList(app(app(X0,skaf42(X1,X2)),cons(hd(skaf42(X1,X2)),X3)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf42(X1,X2)),tl(skaf42(X1,X2)))),cons(hd(skaf42(X1,X2)),X3))) ),
inference(superposition,[status(thm)],[c_10796,c_426]) ).
tcf(c_117956,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,skaf42(X1,X2)),hd(skaf42(X1,X2)))
| ( skaf42(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf42(X1,X2)))
| ~ ssList(tl(skaf42(X1,X2)))
| ~ ssList(app(X0,cons(hd(skaf42(X1,X2)),tl(skaf42(X1,X2))))) ),
inference(superposition,[status(thm)],[c_10796,c_422]) ).
tcf(c_117957,plain,
! [X0: $i,X1: $i] :
( memberP(skaf42(X0,X1),hd(skaf42(X0,X1)))
| ( skaf42(X0,X1) = nil )
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_10796,c_385]) ).
tcf(c_117959,plain,
! [X0: $i,X1: $i] :
( ( skaf42(X0,X1) = nil )
| ( tl(skaf42(X0,X1)) = nil )
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1)))
| ( skaf42(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10796,c_21847]) ).
tcf(c_117960,plain,
! [X0: $i,X1: $i] :
( ( skaf42(X0,X1) = nil )
| ( tl(skaf42(X0,X1)) = nil )
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1)))
| ( skaf42(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10796,c_21842]) ).
tcf(c_117961,plain,
! [X0: $i,X1: $i] :
( ( skaf42(X0,X1) = nil )
| ( hd(skaf42(X0,X1)) = sk5 )
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1)))
| ( skaf42(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10796,c_21750]) ).
tcf(c_117962,plain,
! [X0: $i,X1: $i] :
( ( skaf42(X0,X1) = nil )
| ( hd(skaf42(X0,X1)) = sk6 )
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1)))
| ( skaf42(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10796,c_21745]) ).
tcf(c_117963,plain,
! [X0: $i,X1: $i] :
( ( skaf42(X0,X1) = nil )
| ( hd(skaf42(X0,X1)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf42(X0,X1))
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_10796,c_21595]) ).
tcf(c_117964,plain,
! [X0: $i,X1: $i] :
( ( skaf42(X0,X1) = nil )
| ( hd(skaf42(X0,X1)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf42(X0,X1))
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_10796,c_21590]) ).
tcf(c_117965,plain,
! [X0: $i,X1: $i] :
( ( skaf42(X0,X1) = nil )
| ( hd(skaf42(X0,X1)) = sk5 )
| ~ frontsegP(skaf42(X0,X1),iPr_def_12)
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_10796,c_21585]) ).
tcf(c_117966,plain,
! [X0: $i,X1: $i] :
( ( skaf42(X0,X1) = nil )
| ( hd(skaf42(X0,X1)) = sk6 )
| ~ frontsegP(skaf42(X0,X1),iPr_def_14)
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_10796,c_21580]) ).
tcf(c_117967,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,tl(skaf42(X0,X1)))
| ( skaf42(X0,X1) = nil )
| ~ frontsegP(iPr_def_12,skaf42(X0,X1))
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_10796,c_21202]) ).
tcf(c_117968,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,tl(skaf42(X0,X1)))
| ( skaf42(X0,X1) = nil )
| ~ frontsegP(iPr_def_14,skaf42(X0,X1))
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_10796,c_21197]) ).
tcf(c_117971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf42(X0,X1) = nil )
| ( hd(skaf42(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1)))
| ~ frontsegP(skaf42(X0,X1),cons(X2,X3)) ),
inference(superposition,[status(thm)],[c_10796,c_423]) ).
tcf(c_117972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(tl(skaf42(X0,X1)),X3)
| ( skaf42(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1)))
| ~ frontsegP(skaf42(X0,X1),cons(X2,X3)) ),
inference(superposition,[status(thm)],[c_10796,c_421]) ).
tcf(c_117973,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(tl(skaf42(X0,X1)),X2)
| ( skaf42(X0,X1) = nil )
| ( hd(skaf42(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1)))
| ~ memberP(skaf42(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10796,c_408]) ).
tcf(c_117974,plain,
! [X0: $i,X1: $i] :
( leq(hd(skaf42(X0,X1)),hd(tl(skaf42(X0,X1))))
| ( skaf42(X0,X1) = nil )
| ( tl(skaf42(X0,X1)) = nil )
| ~ totalorderedP(skaf42(X0,X1))
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_10796,c_382]) ).
tcf(c_117975,plain,
! [X0: $i,X1: $i] :
( lt(hd(skaf42(X0,X1)),hd(tl(skaf42(X0,X1))))
| ( skaf42(X0,X1) = nil )
| ( tl(skaf42(X0,X1)) = nil )
| ~ strictorderedP(skaf42(X0,X1))
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_10796,c_381]) ).
tcf(c_117976,plain,
! [X0: $i,X1: $i] :
( totalorderedP(tl(skaf42(X0,X1)))
| ( skaf42(X0,X1) = nil )
| ( tl(skaf42(X0,X1)) = nil )
| ~ totalorderedP(skaf42(X0,X1))
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_10796,c_372]) ).
tcf(c_117977,plain,
! [X0: $i,X1: $i] :
( strictorderedP(tl(skaf42(X0,X1)))
| ( skaf42(X0,X1) = nil )
| ( tl(skaf42(X0,X1)) = nil )
| ~ strictorderedP(skaf42(X0,X1))
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_10796,c_371]) ).
tcf(c_117978,plain,
! [X0: $i,X1: $i] :
( ( skaf42(X0,X1) = nil )
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1)))
| ( tl(skaf42(X0,X1)) != skaf42(X0,X1) ) ),
inference(superposition,[status(thm)],[c_10796,c_346]) ).
tcf(c_117980,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(cons(hd(skaf42(X1,X2)),X0),skaf42(X1,X2))
| ( skaf42(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssItem(hd(skaf42(X1,X2)))
| ~ ssList(tl(skaf42(X1,X2)))
| ~ frontsegP(X0,tl(skaf42(X1,X2))) ),
inference(superposition,[status(thm)],[c_10796,c_425]) ).
tcf(c_117981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf42(X2,X3) = nil )
| ( hd(skaf42(X2,X3)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(skaf42(X2,X3)))
| ~ ssList(tl(skaf42(X2,X3)))
| ~ ssList(app(X0,cons(X1,skaf42(X2,X3))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(skaf42(X2,X3)),tl(skaf42(X2,X3)))))) ),
inference(superposition,[status(thm)],[c_10796,c_427]) ).
tcf(c_117982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf42(X2,X3) = nil )
| ( tl(skaf42(X2,X3)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf42(X2,X3)))
| ~ ssList(tl(skaf42(X2,X3)))
| ( cons(X0,X1) != skaf42(X2,X3) ) ),
inference(superposition,[status(thm)],[c_10796,c_418]) ).
tcf(c_117983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf42(X2,X3) = nil )
| ( hd(skaf42(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf42(X2,X3)))
| ~ ssList(tl(skaf42(X2,X3)))
| ( cons(X0,X1) != skaf42(X2,X3) ) ),
inference(superposition,[status(thm)],[c_10796,c_417]) ).
tcf(c_117984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf42(X2,X3) = nil )
| ( hd(skaf42(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf42(X2,X3)))
| ~ ssList(tl(skaf42(X2,X3)))
| ~ frontsegP(cons(X0,X1),skaf42(X2,X3)) ),
inference(superposition,[status(thm)],[c_10796,c_423]) ).
tcf(c_117985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X1,tl(skaf42(X2,X3)))
| ( skaf42(X2,X3) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(skaf42(X2,X3)))
| ~ ssList(tl(skaf42(X2,X3)))
| ~ frontsegP(cons(X0,X1),skaf42(X2,X3)) ),
inference(superposition,[status(thm)],[c_10796,c_421]) ).
tcf(c_117986,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf42(X0,X1),cons(hd(skaf42(X0,X1)),X2))
| ( skaf42(X0,X1) = nil )
| ~ ssList(X2)
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1)))
| ~ frontsegP(tl(skaf42(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10796,c_425]) ).
tcf(c_117987,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf42(X0,X1),X2)
| ( skaf42(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssItem(hd(skaf42(X0,X1)))
| ~ ssList(tl(skaf42(X0,X1)))
| ~ memberP(tl(skaf42(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10796,c_386]) ).
tcf(c_117988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf42(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf42(X3,X4)))
| ~ ssList(tl(skaf42(X3,X4)))
| ~ leq(X1,hd(skaf42(X3,X4)))
| ~ leq(hd(skaf42(X3,X4)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf42(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(skaf42(X3,X4)),tl(skaf42(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10796,c_432]) ).
tcf(c_117989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,hd(skaf42(X3,X4)))
| leq(hd(skaf42(X3,X4)),X1)
| ( skaf42(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf42(X3,X4)))
| ~ ssList(tl(skaf42(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf42(X3,X4)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf42(X3,X4)),tl(skaf42(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10796,c_431]) ).
tcf(c_117990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,hd(skaf42(X3,X4)))
| lt(hd(skaf42(X3,X4)),X1)
| ( skaf42(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf42(X3,X4)))
| ~ ssList(tl(skaf42(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf42(X3,X4)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(skaf42(X3,X4)),tl(skaf42(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10796,c_430]) ).
tcf(c_117991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,hd(skaf42(X3,X4)))
| ( skaf42(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf42(X3,X4)))
| ~ ssList(tl(skaf42(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf42(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf42(X3,X4)),tl(skaf42(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10796,c_429]) ).
tcf(c_117992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,hd(skaf42(X3,X4)))
| ( skaf42(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(skaf42(X3,X4)))
| ~ ssList(tl(skaf42(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf42(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(skaf42(X3,X4)),tl(skaf42(X3,X4))))) ),
inference(superposition,[status(thm)],[c_10796,c_428]) ).
tcf(c_117993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf42(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(hd(skaf42(X1,X2)))
| ~ ssList(tl(skaf42(X1,X2)))
| ~ ssList(app(app(X0,cons(hd(skaf42(X1,X2)),X3)),skaf42(X1,X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(skaf42(X1,X2)),X3)),cons(hd(skaf42(X1,X2)),tl(skaf42(X1,X2))))) ),
inference(superposition,[status(thm)],[c_10796,c_426]) ).
tcf(c_118495,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf71(X0))))
| ( app(iPr_def_14,skaf71(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf71(X0)))
| ~ ssList(app(iPr_def_14,skaf71(X0))) ),
inference(superposition,[status(thm)],[c_111511,c_407]) ).
tcf(c_118496,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf71(X0))))
| ( app(iPr_def_14,skaf71(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf71(X0)))
| ~ ssList(app(iPr_def_14,skaf71(X0))) ),
inference(superposition,[status(thm)],[c_111511,c_406]) ).
tcf(c_118512,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf68(X0))))
| ( app(iPr_def_14,skaf68(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf68(X0)))
| ~ ssList(app(iPr_def_14,skaf68(X0))) ),
inference(superposition,[status(thm)],[c_111512,c_407]) ).
tcf(c_118513,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf68(X0))))
| ( app(iPr_def_14,skaf68(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf68(X0)))
| ~ ssList(app(iPr_def_14,skaf68(X0))) ),
inference(superposition,[status(thm)],[c_111512,c_406]) ).
tcf(c_118529,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf67(X0))))
| ( app(iPr_def_14,skaf67(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf67(X0)))
| ~ ssList(app(iPr_def_14,skaf67(X0))) ),
inference(superposition,[status(thm)],[c_111513,c_407]) ).
tcf(c_118530,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf67(X0))))
| ( app(iPr_def_14,skaf67(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf67(X0)))
| ~ ssList(app(iPr_def_14,skaf67(X0))) ),
inference(superposition,[status(thm)],[c_111513,c_406]) ).
tcf(c_118593,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf66(X0))))
| ( app(iPr_def_14,skaf66(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf66(X0)))
| ~ ssList(app(iPr_def_14,skaf66(X0))) ),
inference(superposition,[status(thm)],[c_111514,c_407]) ).
tcf(c_118594,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf66(X0))))
| ( app(iPr_def_14,skaf66(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf66(X0)))
| ~ ssList(app(iPr_def_14,skaf66(X0))) ),
inference(superposition,[status(thm)],[c_111514,c_406]) ).
tcf(c_118610,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf63(X0))))
| ( app(iPr_def_14,skaf63(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf63(X0)))
| ~ ssList(app(iPr_def_14,skaf63(X0))) ),
inference(superposition,[status(thm)],[c_111515,c_407]) ).
tcf(c_118611,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf63(X0))))
| ( app(iPr_def_14,skaf63(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf63(X0)))
| ~ ssList(app(iPr_def_14,skaf63(X0))) ),
inference(superposition,[status(thm)],[c_111515,c_406]) ).
tcf(c_118627,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf62(X0))))
| ( app(iPr_def_14,skaf62(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf62(X0)))
| ~ ssList(app(iPr_def_14,skaf62(X0))) ),
inference(superposition,[status(thm)],[c_111516,c_407]) ).
tcf(c_118628,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf62(X0))))
| ( app(iPr_def_14,skaf62(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf62(X0)))
| ~ ssList(app(iPr_def_14,skaf62(X0))) ),
inference(superposition,[status(thm)],[c_111516,c_406]) ).
tcf(c_118655,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf61(X0))))
| ( app(iPr_def_14,skaf61(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf61(X0)))
| ~ ssList(app(iPr_def_14,skaf61(X0))) ),
inference(superposition,[status(thm)],[c_111517,c_407]) ).
tcf(c_118656,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf61(X0))))
| ( app(iPr_def_14,skaf61(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf61(X0)))
| ~ ssList(app(iPr_def_14,skaf61(X0))) ),
inference(superposition,[status(thm)],[c_111517,c_406]) ).
tcf(c_118672,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf58(X0))))
| ( app(iPr_def_14,skaf58(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf58(X0)))
| ~ ssList(app(iPr_def_14,skaf58(X0))) ),
inference(superposition,[status(thm)],[c_111518,c_407]) ).
tcf(c_118673,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf58(X0))))
| ( app(iPr_def_14,skaf58(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf58(X0)))
| ~ ssList(app(iPr_def_14,skaf58(X0))) ),
inference(superposition,[status(thm)],[c_111518,c_406]) ).
tcf(c_118742,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk8,X1)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_117779,c_400]) ).
tcf(c_118743,plain,
! [X0: $i] :
( ( app(skaf46(app(sk8,app(sk4,sk8)),X0),X0) = app(sk8,app(sk4,sk8)) )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_117779,c_378]) ).
tcf(c_118744,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk8)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_117779,c_375]) ).
tcf(c_118748,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(sk8,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_117779,c_81078]) ).
tcf(c_118749,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(sk8,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_117779,c_81066]) ).
tcf(c_118751,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_117779,c_92762]) ).
tcf(c_118752,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_117779,c_92744]) ).
tcf(c_118754,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ rearsegP(sk8,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_117779,c_115593]) ).
tcf(c_118755,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ rearsegP(sk8,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_117779,c_115581]) ).
tcf(c_118758,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk8,cons(sk5,sk4))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_117779,c_66649]) ).
tcf(c_118759,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_117779,c_68485]) ).
tcf(c_118760,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_117779,c_68796]) ).
tcf(c_118761,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(sk8,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_117779,c_69620]) ).
tcf(c_118762,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118758,c_66402,c_112795]) ).
tcf(c_118765,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk8,X1)
| ~ rearsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118742,c_112795]) ).
tcf(c_118771,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118761,c_112795,c_68959]) ).
tcf(c_118774,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118760,c_112795,c_68529]) ).
tcf(c_118777,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118759,c_112795,c_68222]) ).
tcf(c_118780,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118755,c_112795,c_112798]) ).
tcf(c_118783,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118754,c_112795,c_112801]) ).
tcf(c_118786,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118752,c_112795,c_89538]) ).
tcf(c_118789,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118751,c_112795,c_89541]) ).
tcf(c_118792,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118749,c_112795,c_79223]) ).
tcf(c_118795,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118748,c_112795,c_79226]) ).
tcf(c_118798,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk8)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ rearsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118744,c_112795]) ).
tcf(c_118803,plain,
! [X0: $i] :
( ( app(skaf46(app(sk8,app(sk4,sk8)),X0),X0) = app(sk8,app(sk4,sk8)) )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118743,c_112795]) ).
tcf(c_118858,plain,
! [X0: $i] :
( ( app(skaf42(app(sk8,app(sk4,sk8)),X0),cons(X0,skaf43(X0,app(sk8,app(sk4,sk8))))) = app(sk8,app(sk4,sk8)) )
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_117783,c_416]) ).
tcf(c_118860,plain,
! [X0: $i] :
( ( app(skaf42(app(sk8,app(sk4,sk8)),X0),cons(X0,skaf43(X0,app(sk8,app(sk4,sk8))))) = app(sk8,app(sk4,sk8)) )
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118858,c_112795]) ).
tcf(c_118898,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7))
| ~ ssList(app(app(skaf46(app(sk8,app(sk4,sk7)),sk7),sk7),X0)) ),
inference(superposition,[status(thm)],[c_115588,c_420]) ).
tcf(c_118899,plain,
! [X0: $i] :
( ( skaf46(app(sk8,app(sk4,sk7)),sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7))
| ( app(sk8,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_115588,c_398]) ).
tcf(c_118901,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(app(sk8,app(sk4,sk7)),sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_115588,c_405]) ).
tcf(c_118902,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7))
| ( app(sk8,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_115588,c_366]) ).
tcf(c_118903,plain,
( ( skaf46(app(sk8,app(sk4,sk7)),sk7) = nil )
| ~ ssList(sk7)
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7))
| ( app(sk8,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_115588,c_365]) ).
tcf(c_118904,plain,
( frontsegP(app(sk8,app(sk4,sk7)),skaf46(app(sk8,app(sk4,sk7)),sk7))
| ~ ssList(sk7)
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_115588,c_808]) ).
tcf(c_118906,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_115588,c_388]) ).
tcf(c_118907,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_115588,c_383]) ).
tcf(c_118908,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7))
| ( app(skaf46(app(sk8,app(sk4,sk7)),sk7),X0) != app(sk8,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_115588,c_397]) ).
tcf(c_118909,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7))
| ~ memberP(skaf46(app(sk8,app(sk4,sk7)),sk7),X0) ),
inference(superposition,[status(thm)],[c_115588,c_387]) ).
tcf(c_118910,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7))
| ~ frontsegP(skaf46(app(sk8,app(sk4,sk7)),sk7),X0) ),
inference(superposition,[status(thm)],[c_115588,c_384]) ).
tcf(c_118911,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_115588,c_419]) ).
tcf(c_118912,plain,
( ( skaf46(app(sk8,app(sk4,sk7)),sk7) = iPr_def_14 )
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7))
| ( app(sk8,app(sk4,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_115588,c_51335]) ).
tcf(c_118913,plain,
( ( skaf46(app(sk8,app(sk4,sk7)),sk7) = nil )
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7))
| ( app(sk8,app(sk4,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_115588,c_17625]) ).
tcf(c_118914,plain,
frontsegP(app(sk8,app(sk4,sk7)),skaf46(app(sk8,app(sk4,sk7)),sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_118904,c_6483,c_297]) ).
tcf(c_118915,plain,
( ( sk7 = nil )
| ( app(sk8,app(sk4,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118902,c_6483,c_297]) ).
tcf(c_118918,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118907,c_6483,c_297]) ).
tcf(c_118922,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118906,c_6483,c_297]) ).
tcf(c_118926,plain,
( ( skaf46(app(sk8,app(sk4,sk7)),sk7) = nil )
| ( app(sk8,app(sk4,sk7)) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118913,c_297]) ).
tcf(c_118929,plain,
( ( skaf46(app(sk8,app(sk4,sk7)),sk7) = iPr_def_14 )
| ( app(sk8,app(sk4,sk7)) != cons(sk6,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118912,c_297]) ).
tcf(c_118932,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118911,c_6483,c_297]) ).
tcf(c_118937,plain,
( ( skaf46(app(sk8,app(sk4,sk7)),sk7) = nil )
| ( app(sk8,app(sk4,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118903,c_6483,c_297]) ).
tcf(c_118940,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(app(sk8,app(sk4,sk7)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118910,c_6483,c_297]) ).
tcf(c_118944,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(app(sk8,app(sk4,sk7)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118909,c_6483,c_297]) ).
tcf(c_118948,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(app(sk8,app(sk4,sk7)),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk8,app(sk4,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118901,c_6483,c_297]) ).
tcf(c_118953,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(skaf46(app(sk8,app(sk4,sk7)),sk7),X0) != app(sk8,app(sk4,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118908,c_6483,c_297]) ).
tcf(c_118957,plain,
! [X0: $i] :
( ( skaf46(app(sk8,app(sk4,sk7)),sk7) = X0 )
| ~ ssList(X0)
| ( app(sk8,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118899,c_6483,c_297]) ).
tcf(c_118961,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7))
| ~ ssList(app(app(sk8,app(sk4,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_118898,c_115588]) ).
tcf(c_118962,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(app(sk8,app(sk4,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118961,c_6483,c_297]) ).
tcf(c_119093,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk8,app(sk4,sk7)),sk7))
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk7)))
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_118914,c_401]) ).
tcf(c_119094,plain,
( ( app(skaf46(app(sk8,app(sk4,sk7)),sk7),skaf45(app(sk8,app(sk4,sk7)),skaf46(app(sk8,app(sk4,sk7)),sk7))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_118914,c_379]) ).
tcf(c_119095,plain,
( ( skaf46(app(sk8,app(sk4,sk7)),sk7) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7))
| ~ frontsegP(skaf46(app(sk8,app(sk4,sk7)),sk7),app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_118914,c_376]) ).
tcf(c_119096,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk8,app(sk4,sk7)),sk7))
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119093,c_112798,c_297]) ).
tcf(c_119100,plain,
( ( skaf46(app(sk8,app(sk4,sk7)),sk7) = app(sk8,app(sk4,sk7)) )
| ~ frontsegP(skaf46(app(sk8,app(sk4,sk7)),sk7),app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119095,c_112798,c_297]) ).
tcf(c_119103,plain,
app(skaf46(app(sk8,app(sk4,sk7)),sk7),skaf45(app(sk8,app(sk4,sk7)),skaf46(app(sk8,app(sk4,sk7)),sk7))) = app(sk8,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_119094,c_112798,c_297]) ).
tcf(c_119219,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_118918,c_400]) ).
tcf(c_119220,plain,
! [X0: $i] :
( ( app(skaf46(app(sk8,app(sk4,sk7)),X0),X0) = app(sk8,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_118918,c_378]) ).
tcf(c_119221,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_118918,c_375]) ).
tcf(c_119222,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_118918,c_15170]) ).
tcf(c_119224,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ rearsegP(sk7,cons(sk6,sk4))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_118918,c_69708]) ).
tcf(c_119225,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_118918,c_81078]) ).
tcf(c_119227,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_118918,c_81049]) ).
tcf(c_119228,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_118918,c_92762]) ).
tcf(c_119230,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_118918,c_91539]) ).
tcf(c_119231,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_118918,c_115593]) ).
tcf(c_119233,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_118918,c_115569]) ).
tcf(c_119234,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk7,cons(sk5,sk4))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_118918,c_108941]) ).
tcf(c_119235,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk7,cons(sk5,sk4))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_118918,c_66649]) ).
tcf(c_119236,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_118918,c_68485]) ).
tcf(c_119237,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_118918,c_68796]) ).
tcf(c_119238,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_118918,c_69620]) ).
tcf(c_119239,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119222,c_9020,c_112798]) ).
tcf(c_119242,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119235,c_66402,c_112798]) ).
tcf(c_119245,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ rearsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119219,c_112798]) ).
tcf(c_119251,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119238,c_112798,c_68959]) ).
tcf(c_119254,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119237,c_112798,c_68529]) ).
tcf(c_119257,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119236,c_112798,c_68222]) ).
tcf(c_119260,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119234,c_66402,c_112798]) ).
tcf(c_119264,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119233,c_112795,c_112798]) ).
tcf(c_119267,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119231,c_112798,c_112801]) ).
tcf(c_119270,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119230,c_112798,c_89535]) ).
tcf(c_119273,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119228,c_112798,c_89541]) ).
tcf(c_119276,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119227,c_112798,c_79220]) ).
tcf(c_119279,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119225,c_112798,c_79226]) ).
tcf(c_119282,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk7,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119224,c_28942,c_112798]) ).
tcf(c_119286,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ rearsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119221,c_112798]) ).
tcf(c_119291,plain,
! [X0: $i] :
( ( app(skaf46(app(sk8,app(sk4,sk7)),X0),X0) = app(sk8,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119220,c_112798]) ).
tcf(c_119303,plain,
! [X0: $i] :
( ( app(skaf42(app(sk8,app(sk4,sk7)),X0),cons(X0,skaf43(X0,app(sk8,app(sk4,sk7))))) = app(sk8,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_118922,c_416]) ).
tcf(c_119304,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk4,sk7),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_118922,c_405]) ).
tcf(c_119305,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk4,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119304,c_6482]) ).
tcf(c_119311,plain,
! [X0: $i] :
( ( app(skaf42(app(sk8,app(sk4,sk7)),X0),cons(X0,skaf43(X0,app(sk8,app(sk4,sk7))))) = app(sk8,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119303,c_112798]) ).
tcf(c_119317,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf57(X0))))
| ( app(iPr_def_14,skaf57(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf57(X0)))
| ~ ssList(app(iPr_def_14,skaf57(X0))) ),
inference(superposition,[status(thm)],[c_111519,c_407]) ).
tcf(c_119318,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf57(X0))))
| ( app(iPr_def_14,skaf57(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf57(X0)))
| ~ ssList(app(iPr_def_14,skaf57(X0))) ),
inference(superposition,[status(thm)],[c_111519,c_406]) ).
tcf(c_119334,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf56(X0))))
| ( app(iPr_def_14,skaf56(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf56(X0)))
| ~ ssList(app(iPr_def_14,skaf56(X0))) ),
inference(superposition,[status(thm)],[c_111520,c_407]) ).
tcf(c_119335,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf56(X0))))
| ( app(iPr_def_14,skaf56(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf56(X0)))
| ~ ssList(app(iPr_def_14,skaf56(X0))) ),
inference(superposition,[status(thm)],[c_111520,c_406]) ).
tcf(c_119351,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf53(X0))))
| ( app(iPr_def_14,skaf53(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf53(X0)))
| ~ ssList(app(iPr_def_14,skaf53(X0))) ),
inference(superposition,[status(thm)],[c_111521,c_407]) ).
tcf(c_119352,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf53(X0))))
| ( app(iPr_def_14,skaf53(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf53(X0)))
| ~ ssList(app(iPr_def_14,skaf53(X0))) ),
inference(superposition,[status(thm)],[c_111521,c_406]) ).
tcf(c_119368,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf52(X0))))
| ( app(iPr_def_14,skaf52(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf52(X0)))
| ~ ssList(app(iPr_def_14,skaf52(X0))) ),
inference(superposition,[status(thm)],[c_111522,c_407]) ).
tcf(c_119369,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf52(X0))))
| ( app(iPr_def_14,skaf52(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf52(X0)))
| ~ ssList(app(iPr_def_14,skaf52(X0))) ),
inference(superposition,[status(thm)],[c_111522,c_406]) ).
tcf(c_119385,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_14,skaf51(X0))))
| ( app(iPr_def_14,skaf51(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf51(X0)))
| ~ ssList(app(iPr_def_14,skaf51(X0))) ),
inference(superposition,[status(thm)],[c_111523,c_407]) ).
tcf(c_119386,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_14,skaf51(X0))))
| ( app(iPr_def_14,skaf51(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf51(X0)))
| ~ ssList(app(iPr_def_14,skaf51(X0))) ),
inference(superposition,[status(thm)],[c_111523,c_406]) ).
tcf(c_119402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ leq(X1,hd(iPr_def_13))
| ~ leq(hd(iPr_def_13),X1)
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(hd(iPr_def_13),tl(iPr_def_13))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_112897,c_432]) ).
tcf(c_119403,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_13))
| leq(hd(iPr_def_13),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(hd(iPr_def_13),tl(iPr_def_13))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_112897,c_431]) ).
tcf(c_119404,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_13))
| lt(hd(iPr_def_13),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(hd(iPr_def_13),tl(iPr_def_13))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_112897,c_430]) ).
tcf(c_119405,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(iPr_def_13),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(iPr_def_13),tl(iPr_def_13))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_112897,c_429]) ).
tcf(c_119406,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(iPr_def_13),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(iPr_def_13),tl(iPr_def_13))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_112897,c_428]) ).
tcf(c_119407,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ ssList(app(app(X0,iPr_def_13),cons(hd(iPr_def_13),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_13),tl(iPr_def_13))),cons(hd(iPr_def_13),X1))) ),
inference(superposition,[status(thm)],[c_112897,c_426]) ).
tcf(c_119408,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_13),hd(iPr_def_13))
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ ssList(app(X0,cons(hd(iPr_def_13),tl(iPr_def_13)))) ),
inference(superposition,[status(thm)],[c_112897,c_422]) ).
tcf(c_119409,plain,
( memberP(iPr_def_13,hd(iPr_def_13))
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_112897,c_385]) ).
tcf(c_119411,plain,
( ( tl(iPr_def_13) = nil )
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ( iPr_def_12 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_112897,c_21847]) ).
tcf(c_119412,plain,
( ( tl(iPr_def_13) = nil )
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ( iPr_def_13 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_112897,c_21842]) ).
tcf(c_119413,plain,
( ( hd(iPr_def_13) = sk5 )
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ( iPr_def_12 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_112897,c_21750]) ).
tcf(c_119414,plain,
( ( hd(iPr_def_13) = sk6 )
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ( iPr_def_13 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_112897,c_21745]) ).
tcf(c_119415,plain,
( ( hd(iPr_def_13) = sk5 )
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_112897,c_21595]) ).
tcf(c_119416,plain,
( ( hd(iPr_def_13) = sk6 )
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_112897,c_21590]) ).
tcf(c_119417,plain,
( ( hd(iPr_def_13) = sk5 )
| ~ frontsegP(iPr_def_13,iPr_def_12)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_112897,c_21585]) ).
tcf(c_119418,plain,
( ( hd(iPr_def_13) = sk6 )
| ~ frontsegP(iPr_def_13,iPr_def_14)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_112897,c_21580]) ).
tcf(c_119419,plain,
( frontsegP(nil,tl(iPr_def_13))
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_112897,c_21202]) ).
tcf(c_119420,plain,
( frontsegP(nil,tl(iPr_def_13))
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_112897,c_21197]) ).
tcf(c_119423,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_13) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(iPr_def_13,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_112897,c_423]) ).
tcf(c_119424,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(iPr_def_13),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(iPr_def_13,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_112897,c_421]) ).
tcf(c_119425,plain,
! [X0: $i] :
( memberP(tl(iPr_def_13),X0)
| ( hd(iPr_def_13) = X0 )
| ~ ssItem(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ memberP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_112897,c_408]) ).
tcf(c_119426,plain,
( leq(hd(iPr_def_13),hd(tl(iPr_def_13)))
| ( tl(iPr_def_13) = nil )
| ~ totalorderedP(iPr_def_13)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_112897,c_382]) ).
tcf(c_119427,plain,
( lt(hd(iPr_def_13),hd(tl(iPr_def_13)))
| ( tl(iPr_def_13) = nil )
| ~ strictorderedP(iPr_def_13)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_112897,c_381]) ).
tcf(c_119428,plain,
( totalorderedP(tl(iPr_def_13))
| ( tl(iPr_def_13) = nil )
| ~ totalorderedP(iPr_def_13)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_112897,c_372]) ).
tcf(c_119429,plain,
( strictorderedP(tl(iPr_def_13))
| ( tl(iPr_def_13) = nil )
| ~ strictorderedP(iPr_def_13)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_112897,c_371]) ).
tcf(c_119430,plain,
( ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ( tl(iPr_def_13) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_112897,c_346]) ).
tcf(c_119432,plain,
! [X0: $i] :
( frontsegP(cons(hd(iPr_def_13),X0),iPr_def_13)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(X0,tl(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_112897,c_425]) ).
tcf(c_119433,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_13) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ ssList(app(X0,cons(X1,iPr_def_13)))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(iPr_def_13),tl(iPr_def_13))))) ),
inference(superposition,[status(thm)],[c_112897,c_427]) ).
tcf(c_119434,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_13) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ( cons(X0,X1) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_112897,c_418]) ).
tcf(c_119435,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_13) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ( cons(X0,X1) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_112897,c_417]) ).
tcf(c_119436,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_13) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(cons(X0,X1),iPr_def_13) ),
inference(superposition,[status(thm)],[c_112897,c_423]) ).
tcf(c_119437,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(iPr_def_13))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(cons(X0,X1),iPr_def_13) ),
inference(superposition,[status(thm)],[c_112897,c_421]) ).
tcf(c_119438,plain,
! [X0: $i] :
( frontsegP(iPr_def_13,cons(hd(iPr_def_13),X0))
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ frontsegP(tl(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_112897,c_425]) ).
tcf(c_119439,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ memberP(tl(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_112897,c_386]) ).
tcf(c_119440,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ leq(X1,hd(iPr_def_13))
| ~ leq(hd(iPr_def_13),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_13),tl(iPr_def_13)))) ),
inference(superposition,[status(thm)],[c_112897,c_432]) ).
tcf(c_119441,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_13))
| leq(hd(iPr_def_13),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_13),tl(iPr_def_13)))) ),
inference(superposition,[status(thm)],[c_112897,c_431]) ).
tcf(c_119442,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_13))
| lt(hd(iPr_def_13),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_13),tl(iPr_def_13)))) ),
inference(superposition,[status(thm)],[c_112897,c_430]) ).
tcf(c_119443,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_13))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_13),tl(iPr_def_13)))) ),
inference(superposition,[status(thm)],[c_112897,c_429]) ).
tcf(c_119444,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_13))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_13),tl(iPr_def_13)))) ),
inference(superposition,[status(thm)],[c_112897,c_428]) ).
tcf(c_119445,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ ssList(app(app(X0,cons(hd(iPr_def_13),X1)),iPr_def_13))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_13),X1)),cons(hd(iPr_def_13),tl(iPr_def_13)))) ),
inference(superposition,[status(thm)],[c_112897,c_426]) ).
tcf(c_119569,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_13),hd(iPr_def_13))
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ ssList(app(X0,iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_119408,c_112897]) ).
tcf(c_119575,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_13) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_13)))
| ~ ssList(app(X0,cons(X1,iPr_def_13))) ),
inference(light_normalisation,[status(thm)],[c_119433,c_112897]) ).
tcf(c_119583,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_13),X1)),iPr_def_13))
| ~ ssList(app(app(X0,cons(hd(iPr_def_13),X1)),iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_119445,c_112897]) ).
tcf(c_119590,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ duplicatefreeP(app(app(X0,iPr_def_13),cons(hd(iPr_def_13),X1)))
| ~ ssList(app(app(X0,iPr_def_13),cons(hd(iPr_def_13),X1))) ),
inference(light_normalisation,[status(thm)],[c_119407,c_112897]) ).
tcf(c_119597,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_13))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_119444,c_112897]) ).
tcf(c_119606,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_13))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_119443,c_112897]) ).
tcf(c_119615,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(iPr_def_13),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ strictorderedP(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_119406,c_112897]) ).
tcf(c_119624,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(iPr_def_13),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ totalorderedP(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_119405,c_112897]) ).
tcf(c_119633,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_13))
| lt(hd(iPr_def_13),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ strictorderP(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_119442,c_112897]) ).
tcf(c_119643,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_13))
| leq(hd(iPr_def_13),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ totalorderP(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_119441,c_112897]) ).
tcf(c_119653,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_13))
| lt(hd(iPr_def_13),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ strictorderP(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_119404,c_112897]) ).
tcf(c_119663,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_13))
| leq(hd(iPr_def_13),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ totalorderP(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_119403,c_112897]) ).
tcf(c_119673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ leq(X1,hd(iPr_def_13))
| ~ leq(hd(iPr_def_13),X1)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),iPr_def_13))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_119440,c_112897]) ).
tcf(c_119683,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_13))
| ~ ssList(tl(iPr_def_13))
| ~ leq(X1,hd(iPr_def_13))
| ~ leq(hd(iPr_def_13),X1)
| ~ cyclefreeP(app(app(X0,iPr_def_13),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_13),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_119402,c_112897]) ).
tcf(c_119852,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ leq(X1,hd(iPr_def_16))
| ~ leq(hd(iPr_def_16),X1)
| ~ ssList(app(app(X0,iPr_def_16),cons(X1,X2)))
| ~ cyclefreeP(app(app(X0,cons(hd(iPr_def_16),tl(iPr_def_16))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_112901,c_432]) ).
tcf(c_119853,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_16))
| leq(hd(iPr_def_16),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ ssList(app(app(X0,iPr_def_16),cons(X1,X2)))
| ~ totalorderP(app(app(X0,cons(hd(iPr_def_16),tl(iPr_def_16))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_112901,c_431]) ).
tcf(c_119854,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_16))
| lt(hd(iPr_def_16),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ ssList(app(app(X0,iPr_def_16),cons(X1,X2)))
| ~ strictorderP(app(app(X0,cons(hd(iPr_def_16),tl(iPr_def_16))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_112901,c_430]) ).
tcf(c_119855,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(iPr_def_16),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ ssList(app(app(X0,iPr_def_16),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(iPr_def_16),tl(iPr_def_16))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_112901,c_429]) ).
tcf(c_119856,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(iPr_def_16),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ ssList(app(app(X0,iPr_def_16),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(iPr_def_16),tl(iPr_def_16))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_112901,c_428]) ).
tcf(c_119857,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ ssList(app(app(X0,iPr_def_16),cons(hd(iPr_def_16),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_16),tl(iPr_def_16))),cons(hd(iPr_def_16),X1))) ),
inference(superposition,[status(thm)],[c_112901,c_426]) ).
tcf(c_119858,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_16),hd(iPr_def_16))
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ ssList(app(X0,cons(hd(iPr_def_16),tl(iPr_def_16)))) ),
inference(superposition,[status(thm)],[c_112901,c_422]) ).
tcf(c_119859,plain,
( memberP(iPr_def_16,hd(iPr_def_16))
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_112901,c_385]) ).
tcf(c_119861,plain,
( ( tl(iPr_def_16) = nil )
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ( iPr_def_12 != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_112901,c_21847]) ).
tcf(c_119862,plain,
( ( tl(iPr_def_16) = nil )
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ( iPr_def_14 != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_112901,c_21842]) ).
tcf(c_119863,plain,
( ( hd(iPr_def_16) = sk5 )
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ( iPr_def_12 != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_112901,c_21750]) ).
tcf(c_119864,plain,
( ( hd(iPr_def_16) = sk6 )
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ( iPr_def_14 != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_112901,c_21745]) ).
tcf(c_119865,plain,
( ( hd(iPr_def_16) = sk5 )
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_112901,c_21595]) ).
tcf(c_119866,plain,
( ( hd(iPr_def_16) = sk6 )
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_112901,c_21590]) ).
tcf(c_119867,plain,
( ( hd(iPr_def_16) = sk5 )
| ~ frontsegP(iPr_def_16,iPr_def_12)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_112901,c_21585]) ).
tcf(c_119868,plain,
( ( hd(iPr_def_16) = sk6 )
| ~ frontsegP(iPr_def_16,iPr_def_14)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_112901,c_21580]) ).
tcf(c_119869,plain,
( frontsegP(nil,tl(iPr_def_16))
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_112901,c_21202]) ).
tcf(c_119870,plain,
( frontsegP(nil,tl(iPr_def_16))
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_112901,c_21197]) ).
tcf(c_119873,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_16) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ frontsegP(iPr_def_16,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_112901,c_423]) ).
tcf(c_119874,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(iPr_def_16),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ frontsegP(iPr_def_16,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_112901,c_421]) ).
tcf(c_119875,plain,
! [X0: $i] :
( memberP(tl(iPr_def_16),X0)
| ( hd(iPr_def_16) = X0 )
| ~ ssItem(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ memberP(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_112901,c_408]) ).
tcf(c_119876,plain,
( leq(hd(iPr_def_16),hd(tl(iPr_def_16)))
| ( tl(iPr_def_16) = nil )
| ~ totalorderedP(iPr_def_16)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_112901,c_382]) ).
tcf(c_119877,plain,
( lt(hd(iPr_def_16),hd(tl(iPr_def_16)))
| ( tl(iPr_def_16) = nil )
| ~ strictorderedP(iPr_def_16)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_112901,c_381]) ).
tcf(c_119878,plain,
( totalorderedP(tl(iPr_def_16))
| ( tl(iPr_def_16) = nil )
| ~ totalorderedP(iPr_def_16)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_112901,c_372]) ).
tcf(c_119879,plain,
( strictorderedP(tl(iPr_def_16))
| ( tl(iPr_def_16) = nil )
| ~ strictorderedP(iPr_def_16)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_112901,c_371]) ).
tcf(c_119880,plain,
( ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ( tl(iPr_def_16) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_112901,c_346]) ).
tcf(c_119882,plain,
! [X0: $i] :
( frontsegP(cons(hd(iPr_def_16),X0),iPr_def_16)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ frontsegP(X0,tl(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_112901,c_425]) ).
tcf(c_119883,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_16) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ ssList(app(X0,cons(X1,iPr_def_16)))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(iPr_def_16),tl(iPr_def_16))))) ),
inference(superposition,[status(thm)],[c_112901,c_427]) ).
tcf(c_119884,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_16) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ( cons(X0,X1) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_112901,c_418]) ).
tcf(c_119885,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_16) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ( cons(X0,X1) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_112901,c_417]) ).
tcf(c_119886,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_16) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ frontsegP(cons(X0,X1),iPr_def_16) ),
inference(superposition,[status(thm)],[c_112901,c_423]) ).
tcf(c_119887,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(iPr_def_16))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ frontsegP(cons(X0,X1),iPr_def_16) ),
inference(superposition,[status(thm)],[c_112901,c_421]) ).
tcf(c_119888,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,cons(hd(iPr_def_16),X0))
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ frontsegP(tl(iPr_def_16),X0) ),
inference(superposition,[status(thm)],[c_112901,c_425]) ).
tcf(c_119889,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ memberP(tl(iPr_def_16),X0) ),
inference(superposition,[status(thm)],[c_112901,c_386]) ).
tcf(c_119890,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ leq(X1,hd(iPr_def_16))
| ~ leq(hd(iPr_def_16),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_16))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_16),tl(iPr_def_16)))) ),
inference(superposition,[status(thm)],[c_112901,c_432]) ).
tcf(c_119891,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_16))
| leq(hd(iPr_def_16),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_16))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_16),tl(iPr_def_16)))) ),
inference(superposition,[status(thm)],[c_112901,c_431]) ).
tcf(c_119892,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_16))
| lt(hd(iPr_def_16),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_16))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_16),tl(iPr_def_16)))) ),
inference(superposition,[status(thm)],[c_112901,c_430]) ).
tcf(c_119893,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_16))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_16))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_16),tl(iPr_def_16)))) ),
inference(superposition,[status(thm)],[c_112901,c_429]) ).
tcf(c_119894,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_16))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_16))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_16),tl(iPr_def_16)))) ),
inference(superposition,[status(thm)],[c_112901,c_428]) ).
tcf(c_119895,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ ssList(app(app(X0,cons(hd(iPr_def_16),X1)),iPr_def_16))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_16),X1)),cons(hd(iPr_def_16),tl(iPr_def_16)))) ),
inference(superposition,[status(thm)],[c_112901,c_426]) ).
tcf(c_120019,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_16),hd(iPr_def_16))
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ ssList(app(X0,iPr_def_16)) ),
inference(light_normalisation,[status(thm)],[c_119858,c_112901]) ).
tcf(c_120025,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_16) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_16)))
| ~ ssList(app(X0,cons(X1,iPr_def_16))) ),
inference(light_normalisation,[status(thm)],[c_119883,c_112901]) ).
tcf(c_120033,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_16),X1)),iPr_def_16))
| ~ ssList(app(app(X0,cons(hd(iPr_def_16),X1)),iPr_def_16)) ),
inference(light_normalisation,[status(thm)],[c_119895,c_112901]) ).
tcf(c_120040,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ duplicatefreeP(app(app(X0,iPr_def_16),cons(hd(iPr_def_16),X1)))
| ~ ssList(app(app(X0,iPr_def_16),cons(hd(iPr_def_16),X1))) ),
inference(light_normalisation,[status(thm)],[c_119857,c_112901]) ).
tcf(c_120047,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_16))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_16))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_16)) ),
inference(light_normalisation,[status(thm)],[c_119894,c_112901]) ).
tcf(c_120056,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_16))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_16))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_16)) ),
inference(light_normalisation,[status(thm)],[c_119893,c_112901]) ).
tcf(c_120065,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(iPr_def_16),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ strictorderedP(app(app(X0,iPr_def_16),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_16),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_119856,c_112901]) ).
tcf(c_120074,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(iPr_def_16),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ totalorderedP(app(app(X0,iPr_def_16),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_16),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_119855,c_112901]) ).
tcf(c_120083,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_16))
| lt(hd(iPr_def_16),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ strictorderP(app(app(X0,cons(X1,X2)),iPr_def_16))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_16)) ),
inference(light_normalisation,[status(thm)],[c_119892,c_112901]) ).
tcf(c_120093,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_16))
| leq(hd(iPr_def_16),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ totalorderP(app(app(X0,cons(X1,X2)),iPr_def_16))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_16)) ),
inference(light_normalisation,[status(thm)],[c_119891,c_112901]) ).
tcf(c_120103,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_16))
| lt(hd(iPr_def_16),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ strictorderP(app(app(X0,iPr_def_16),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_16),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_119854,c_112901]) ).
tcf(c_120113,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_16))
| leq(hd(iPr_def_16),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ totalorderP(app(app(X0,iPr_def_16),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_16),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_119853,c_112901]) ).
tcf(c_120123,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ leq(X1,hd(iPr_def_16))
| ~ leq(hd(iPr_def_16),X1)
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),iPr_def_16))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_16)) ),
inference(light_normalisation,[status(thm)],[c_119890,c_112901]) ).
tcf(c_120133,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(hd(iPr_def_16))
| ~ ssList(tl(iPr_def_16))
| ~ leq(X1,hd(iPr_def_16))
| ~ leq(hd(iPr_def_16),X1)
| ~ cyclefreeP(app(app(X0,iPr_def_16),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_16),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_119852,c_112901]) ).
tcf(c_120391,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4))
| ~ ssList(app(app(skaf46(app(sk8,app(sk4,sk4)),sk4),sk4),X0)) ),
inference(superposition,[status(thm)],[c_115600,c_420]) ).
tcf(c_120392,plain,
! [X0: $i] :
( ( skaf46(app(sk8,app(sk4,sk4)),sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4))
| ( app(sk8,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_115600,c_398]) ).
tcf(c_120394,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(app(sk8,app(sk4,sk4)),sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_115600,c_405]) ).
tcf(c_120395,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4))
| ( app(sk8,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_115600,c_366]) ).
tcf(c_120396,plain,
( ( skaf46(app(sk8,app(sk4,sk4)),sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4))
| ( app(sk8,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_115600,c_365]) ).
tcf(c_120397,plain,
( frontsegP(app(sk8,app(sk4,sk4)),skaf46(app(sk8,app(sk4,sk4)),sk4))
| ~ ssList(sk4)
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_115600,c_808]) ).
tcf(c_120399,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_115600,c_388]) ).
tcf(c_120400,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_115600,c_383]) ).
tcf(c_120401,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4))
| ( app(skaf46(app(sk8,app(sk4,sk4)),sk4),X0) != app(sk8,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_115600,c_397]) ).
tcf(c_120402,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4))
| ~ memberP(skaf46(app(sk8,app(sk4,sk4)),sk4),X0) ),
inference(superposition,[status(thm)],[c_115600,c_387]) ).
tcf(c_120403,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4))
| ~ frontsegP(skaf46(app(sk8,app(sk4,sk4)),sk4),X0) ),
inference(superposition,[status(thm)],[c_115600,c_384]) ).
tcf(c_120404,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_115600,c_419]) ).
tcf(c_120405,plain,
( ( skaf46(app(sk8,app(sk4,sk4)),sk4) = iPr_def_12 )
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4))
| ( app(sk8,app(sk4,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_115600,c_66433]) ).
tcf(c_120406,plain,
( ( skaf46(app(sk8,app(sk4,sk4)),sk4) = iPr_def_14 )
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4))
| ( app(sk8,app(sk4,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_115600,c_51225]) ).
tcf(c_120407,plain,
( ( skaf46(app(sk8,app(sk4,sk4)),sk4) = nil )
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4))
| ( app(sk8,app(sk4,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_115600,c_17629]) ).
tcf(c_120408,plain,
frontsegP(app(sk8,app(sk4,sk4)),skaf46(app(sk8,app(sk4,sk4)),sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_120397,c_6486,c_297]) ).
tcf(c_120409,plain,
( ( sk4 = nil )
| ( app(sk8,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120395,c_6486,c_297]) ).
tcf(c_120412,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120400,c_6486,c_297]) ).
tcf(c_120416,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120399,c_6486,c_297]) ).
tcf(c_120420,plain,
( ( skaf46(app(sk8,app(sk4,sk4)),sk4) = nil )
| ( app(sk8,app(sk4,sk4)) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120407,c_297]) ).
tcf(c_120423,plain,
( ( skaf46(app(sk8,app(sk4,sk4)),sk4) = iPr_def_14 )
| ( app(sk8,app(sk4,sk4)) != cons(sk6,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120406,c_297]) ).
tcf(c_120426,plain,
( ( skaf46(app(sk8,app(sk4,sk4)),sk4) = iPr_def_12 )
| ( app(sk8,app(sk4,sk4)) != cons(sk5,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120405,c_297]) ).
tcf(c_120429,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120404,c_6486,c_297]) ).
tcf(c_120434,plain,
( ( skaf46(app(sk8,app(sk4,sk4)),sk4) = nil )
| ( app(sk8,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120396,c_6486,c_297]) ).
tcf(c_120437,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(app(sk8,app(sk4,sk4)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120403,c_6486,c_297]) ).
tcf(c_120441,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(app(sk8,app(sk4,sk4)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120402,c_6486,c_297]) ).
tcf(c_120445,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(app(sk8,app(sk4,sk4)),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk8,app(sk4,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120394,c_6486,c_297]) ).
tcf(c_120450,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(skaf46(app(sk8,app(sk4,sk4)),sk4),X0) != app(sk8,app(sk4,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120401,c_6486,c_297]) ).
tcf(c_120454,plain,
! [X0: $i] :
( ( skaf46(app(sk8,app(sk4,sk4)),sk4) = X0 )
| ~ ssList(X0)
| ( app(sk8,app(sk4,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120392,c_6486,c_297]) ).
tcf(c_120458,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4))
| ~ ssList(app(app(sk8,app(sk4,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_120391,c_115600]) ).
tcf(c_120459,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(app(sk8,app(sk4,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120458,c_6486,c_297]) ).
tcf(c_120527,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk8,app(sk4,sk4)),sk4))
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk4)))
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_120408,c_401]) ).
tcf(c_120528,plain,
( ( app(skaf46(app(sk8,app(sk4,sk4)),sk4),skaf45(app(sk8,app(sk4,sk4)),skaf46(app(sk8,app(sk4,sk4)),sk4))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_120408,c_379]) ).
tcf(c_120529,plain,
( ( skaf46(app(sk8,app(sk4,sk4)),sk4) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(skaf46(app(sk8,app(sk4,sk4)),sk4))
| ~ frontsegP(skaf46(app(sk8,app(sk4,sk4)),sk4),app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_120408,c_376]) ).
tcf(c_120530,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(app(sk8,app(sk4,sk4)),sk4))
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120527,c_112801,c_297]) ).
tcf(c_120534,plain,
( ( skaf46(app(sk8,app(sk4,sk4)),sk4) = app(sk8,app(sk4,sk4)) )
| ~ frontsegP(skaf46(app(sk8,app(sk4,sk4)),sk4),app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120529,c_112801,c_297]) ).
tcf(c_120537,plain,
app(skaf46(app(sk8,app(sk4,sk4)),sk4),skaf45(app(sk8,app(sk4,sk4)),skaf46(app(sk8,app(sk4,sk4)),sk4))) = app(sk8,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_120528,c_112801,c_297]) ).
tcf(c_120549,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_120412,c_400]) ).
tcf(c_120550,plain,
! [X0: $i] :
( ( app(skaf46(app(sk8,app(sk4,sk4)),X0),X0) = app(sk8,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_120412,c_378]) ).
tcf(c_120551,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_120412,c_375]) ).
tcf(c_120552,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_120412,c_15170]) ).
tcf(c_120553,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ rearsegP(sk4,cons(sk6,sk7))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_120412,c_69731]) ).
tcf(c_120556,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_120412,c_81066]) ).
tcf(c_120557,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_120412,c_81049]) ).
tcf(c_120559,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_120412,c_92744]) ).
tcf(c_120560,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_120412,c_91539]) ).
tcf(c_120562,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_120412,c_115581]) ).
tcf(c_120563,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_120412,c_115569]) ).
tcf(c_120569,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120552,c_9020,c_112801]) ).
tcf(c_120572,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ rearsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120549,c_112801]) ).
tcf(c_120578,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120563,c_112795,c_112801]) ).
tcf(c_120581,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120562,c_112798,c_112801]) ).
tcf(c_120584,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120560,c_112801,c_89535]) ).
tcf(c_120587,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120559,c_112801,c_89538]) ).
tcf(c_120590,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120557,c_112801,c_79220]) ).
tcf(c_120593,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120556,c_112801,c_79223]) ).
tcf(c_120596,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ rearsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120553,c_28940,c_112801]) ).
tcf(c_120600,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ rearsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120551,c_112801]) ).
tcf(c_120605,plain,
! [X0: $i] :
( ( app(skaf46(app(sk8,app(sk4,sk4)),X0),X0) = app(sk8,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120550,c_112801]) ).
tcf(c_120703,plain,
! [X0: $i] :
( ( app(skaf42(app(sk8,app(sk4,sk4)),X0),cons(X0,skaf43(X0,app(sk8,app(sk4,sk4))))) = app(sk8,app(sk4,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_120416,c_416]) ).
tcf(c_120704,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(app(sk4,sk4),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_120416,c_405]) ).
tcf(c_120706,plain,
! [X0: $i] :
( ( app(skaf42(app(sk8,app(sk4,sk4)),X0),cons(X0,skaf43(X0,app(sk8,app(sk4,sk4))))) = app(sk8,app(sk4,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120703,c_112801]) ).
tcf(c_120717,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk7)),X0),skaf45(app(sk7,app(sk4,sk7)),sk7))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7))
| ~ ssList(app(app(sk7,skaf45(app(sk7,app(sk4,sk7)),sk7)),X0)) ),
inference(superposition,[status(thm)],[c_115682,c_420]) ).
tcf(c_120718,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7))
| ( app(X0,skaf45(app(sk7,app(sk4,sk7)),sk7)) != app(sk7,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_115682,c_398]) ).
tcf(c_120720,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf45(app(sk7,app(sk4,sk7)),sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_115682,c_405]) ).
tcf(c_120721,plain,
( ( skaf45(app(sk7,app(sk4,sk7)),sk7) = nil )
| ~ ssList(sk7)
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7))
| ( app(sk7,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_115682,c_366]) ).
tcf(c_120722,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7))
| ( app(sk7,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_115682,c_365]) ).
tcf(c_120724,plain,
( rearsegP(app(sk7,app(sk4,sk7)),skaf45(app(sk7,app(sk4,sk7)),sk7))
| ~ ssList(sk7)
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_115682,c_807]) ).
tcf(c_120725,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7))
| ~ memberP(skaf45(app(sk7,app(sk4,sk7)),sk7),X0) ),
inference(superposition,[status(thm)],[c_115682,c_388]) ).
tcf(c_120726,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7))
| ~ rearsegP(skaf45(app(sk7,app(sk4,sk7)),sk7),X0) ),
inference(superposition,[status(thm)],[c_115682,c_383]) ).
tcf(c_120727,plain,
! [X0: $i] :
( ( skaf45(app(sk7,app(sk4,sk7)),sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7))
| ( app(sk7,app(sk4,sk7)) != app(sk7,X0) ) ),
inference(superposition,[status(thm)],[c_115682,c_397]) ).
tcf(c_120728,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_115682,c_387]) ).
tcf(c_120729,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_115682,c_384]) ).
tcf(c_120730,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7))
| ~ segmentP(skaf45(app(sk7,app(sk4,sk7)),sk7),X0) ),
inference(superposition,[status(thm)],[c_115682,c_419]) ).
tcf(c_120731,plain,
( ( skaf45(app(sk7,app(sk4,sk7)),sk7) = skaf45(iPr_def_16,sk7) )
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7))
| ( app(sk7,app(sk4,sk7)) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_115682,c_26416]) ).
tcf(c_120732,plain,
( ( skaf45(app(sk7,app(sk4,sk7)),sk7) = skaf45(iPr_def_15,sk7) )
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7))
| ( app(sk7,app(sk4,sk7)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_115682,c_24771]) ).
tcf(c_120733,plain,
( ( skaf45(app(sk7,app(sk4,sk7)),sk7) = iPr_def_12 )
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7))
| ( app(sk7,app(sk4,sk7)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_115682,c_17091]) ).
tcf(c_120734,plain,
( ( skaf45(app(sk7,app(sk4,sk7)),sk7) = nil )
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7))
| ( app(sk7,app(sk4,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_115682,c_17074]) ).
tcf(c_120735,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk7)
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7))
| ~ ssList(app(sk7,skaf45(app(sk7,app(sk4,sk7)),sk7))) ),
inference(superposition,[status(thm)],[c_115682,c_20769]) ).
tcf(c_120736,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_115682,c_20310]) ).
tcf(c_120737,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_115682,c_20290]) ).
tcf(c_120738,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120737,c_298]) ).
tcf(c_120742,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120736,c_298]) ).
tcf(c_120746,plain,
rearsegP(app(sk7,app(sk4,sk7)),skaf45(app(sk7,app(sk4,sk7)),sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_120724,c_6483,c_298]) ).
tcf(c_120748,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ frontsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120729,c_6483,c_298]) ).
tcf(c_120753,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7)) ),
inference(light_normalisation,[status(thm)],[c_120735,c_115682]) ).
tcf(c_120754,plain,
segmentP(app(sk7,app(sk4,sk7)),sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_120753,c_89538,c_298]) ).
tcf(c_120755,plain,
( ( skaf45(app(sk7,app(sk4,sk7)),sk7) = nil )
| ( app(sk7,app(sk4,sk7)) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120734,c_298]) ).
tcf(c_120758,plain,
( ( skaf45(app(sk7,app(sk4,sk7)),sk7) = iPr_def_12 )
| ( app(sk7,app(sk4,sk7)) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120733,c_298]) ).
tcf(c_120761,plain,
( ( skaf45(app(sk7,app(sk4,sk7)),sk7) = skaf45(iPr_def_15,sk7) )
| ( app(sk7,app(sk4,sk7)) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120732,c_298]) ).
tcf(c_120764,plain,
( ( skaf45(app(sk7,app(sk4,sk7)),sk7) = skaf45(iPr_def_16,sk7) )
| ( app(sk7,app(sk4,sk7)) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120731,c_298]) ).
tcf(c_120767,plain,
( ( skaf45(app(sk7,app(sk4,sk7)),sk7) = nil )
| ( app(sk7,app(sk4,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120721,c_6483,c_298]) ).
tcf(c_120770,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(app(sk7,app(sk4,sk7)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120726,c_6483,c_298]) ).
tcf(c_120774,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(app(sk7,app(sk4,sk7)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120725,c_6483,c_298]) ).
tcf(c_120778,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf45(app(sk7,app(sk4,sk7)),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk7,app(sk4,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120720,c_6483,c_298]) ).
tcf(c_120783,plain,
! [X0: $i] :
( ( skaf45(app(sk7,app(sk4,sk7)),sk7) = X0 )
| ~ ssList(X0)
| ( app(sk7,app(sk4,sk7)) != app(sk7,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120727,c_6483,c_298]) ).
tcf(c_120787,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(X0,skaf45(app(sk7,app(sk4,sk7)),sk7)) != app(sk7,app(sk4,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120718,c_6483,c_298]) ).
tcf(c_120791,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(app(sk7,app(sk4,sk7)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120730,c_6483,c_298]) ).
tcf(c_120796,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk7)),X0),skaf45(app(sk7,app(sk4,sk7)),sk7))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7))
| ~ ssList(app(app(sk7,app(sk4,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_120717,c_115682]) ).
tcf(c_120797,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk7)),X0),skaf45(app(sk7,app(sk4,sk7)),sk7))
| ~ ssList(X0)
| ~ ssList(app(app(sk7,app(sk4,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120796,c_6483,c_298]) ).
tcf(c_120819,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,app(iPr_def_14,skaf48(X0,X1))))
| ( app(iPr_def_14,skaf48(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf48(X0,X1)))
| ~ ssList(app(iPr_def_14,skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_111524,c_407]) ).
tcf(c_120820,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,app(iPr_def_14,skaf48(X0,X1))))
| ( app(iPr_def_14,skaf48(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf48(X0,X1)))
| ~ ssList(app(iPr_def_14,skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_111524,c_406]) ).
tcf(c_120842,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,app(iPr_def_14,skaf47(X0,X1))))
| ( app(iPr_def_14,skaf47(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf47(X0,X1)))
| ~ ssList(app(iPr_def_14,skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_111525,c_407]) ).
tcf(c_120843,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,app(iPr_def_14,skaf47(X0,X1))))
| ( app(iPr_def_14,skaf47(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf47(X0,X1)))
| ~ ssList(app(iPr_def_14,skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_111525,c_406]) ).
tcf(c_120889,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,app(iPr_def_14,skaf46(X0,X1))))
| ( app(iPr_def_14,skaf46(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf46(X0,X1)))
| ~ ssList(app(iPr_def_14,skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_111526,c_407]) ).
tcf(c_120890,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,app(iPr_def_14,skaf46(X0,X1))))
| ( app(iPr_def_14,skaf46(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf46(X0,X1)))
| ~ ssList(app(iPr_def_14,skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_111526,c_406]) ).
tcf(c_120920,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,app(iPr_def_14,skaf45(X0,X1))))
| ( app(iPr_def_14,skaf45(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf45(X0,X1)))
| ~ ssList(app(iPr_def_14,skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_111527,c_407]) ).
tcf(c_120921,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,app(iPr_def_14,skaf45(X0,X1))))
| ( app(iPr_def_14,skaf45(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf45(X0,X1)))
| ~ ssList(app(iPr_def_14,skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_111527,c_406]) ).
tcf(c_120937,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(X0,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_120754,c_399]) ).
tcf(c_120938,plain,
( ( app(app(skaf47(app(sk7,app(sk4,sk7)),sk7),sk7),skaf48(sk7,app(sk7,app(sk4,sk7)))) = app(sk7,app(sk4,sk7)) )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_120754,c_415]) ).
tcf(c_120939,plain,
( ( app(sk7,app(sk4,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk7,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_120754,c_374]) ).
tcf(c_120940,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ segmentP(X0,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120937,c_6483,c_89538]) ).
tcf(c_120944,plain,
( ( app(sk7,app(sk4,sk7)) = sk7 )
| ~ segmentP(sk7,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120939,c_6483,c_89538]) ).
tcf(c_120947,plain,
app(app(skaf47(app(sk7,app(sk4,sk7)),sk7),sk7),skaf48(sk7,app(sk7,app(sk4,sk7)))) = app(sk7,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_120938,c_6483,c_89538]) ).
tcf(c_120972,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac3,cons(sk6,sk8))))
| ( cons(skac3,cons(sk6,sk8)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac3)
| ~ strictorderedP(cons(skac3,cons(sk6,sk8)))
| ~ ssList(cons(skac3,cons(sk6,sk8))) ),
inference(superposition,[status(thm)],[c_76115,c_407]) ).
tcf(c_120973,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac3,cons(sk6,sk8))))
| ( cons(skac3,cons(sk6,sk8)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac3)
| ~ totalorderedP(cons(skac3,cons(sk6,sk8)))
| ~ ssList(cons(skac3,cons(sk6,sk8))) ),
inference(superposition,[status(thm)],[c_76115,c_406]) ).
tcf(c_121004,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk7,app(sk4,sk7)),sk7))
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk7)))
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_120746,c_400]) ).
tcf(c_121005,plain,
( ( app(skaf46(app(sk7,app(sk4,sk7)),skaf45(app(sk7,app(sk4,sk7)),sk7)),skaf45(app(sk7,app(sk4,sk7)),sk7)) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_120746,c_378]) ).
tcf(c_121006,plain,
( ( skaf45(app(sk7,app(sk4,sk7)),sk7) = app(sk7,app(sk4,sk7)) )
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(skaf45(app(sk7,app(sk4,sk7)),sk7))
| ~ rearsegP(skaf45(app(sk7,app(sk4,sk7)),sk7),app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_120746,c_375]) ).
tcf(c_121007,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk7,app(sk4,sk7)),sk7))
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121004,c_89538,c_298]) ).
tcf(c_121011,plain,
( ( skaf45(app(sk7,app(sk4,sk7)),sk7) = app(sk7,app(sk4,sk7)) )
| ~ rearsegP(skaf45(app(sk7,app(sk4,sk7)),sk7),app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121006,c_89538,c_298]) ).
tcf(c_121014,plain,
app(skaf46(app(sk7,app(sk4,sk7)),skaf45(app(sk7,app(sk4,sk7)),sk7)),skaf45(app(sk7,app(sk4,sk7)),sk7)) = app(sk7,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_121005,c_89538,c_298]) ).
tcf(c_121022,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk7,X1)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_120748,c_401]) ).
tcf(c_121023,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk7,app(sk4,sk7)),X0)) = app(sk7,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_120748,c_379]) ).
tcf(c_121024,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_120748,c_376]) ).
tcf(c_121037,plain,
( frontsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_120748,c_92800]) ).
tcf(c_121038,plain,
( frontsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk7,app(sk4,sk4))
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_120748,c_89322]) ).
tcf(c_121039,plain,
( frontsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(sk7,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_120748,c_91606]) ).
tcf(c_121040,plain,
( frontsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_120748,c_91570]) ).
tcf(c_121048,plain,
( frontsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ frontsegP(sk7,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121038,c_79152,c_89538]) ).
tcf(c_121051,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk7,X1)
| ~ frontsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121022,c_89538]) ).
tcf(c_121057,plain,
( frontsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ frontsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121040,c_89538,c_79220]) ).
tcf(c_121060,plain,
( frontsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ frontsegP(sk7,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121039,c_89538,c_79223]) ).
tcf(c_121063,plain,
( frontsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ frontsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121037,c_89538,c_79226]) ).
tcf(c_121066,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ frontsegP(X0,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121024,c_89538]) ).
tcf(c_121071,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk7,app(sk4,sk7)),X0)) = app(sk7,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ frontsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121023,c_89538]) ).
tcf(c_121134,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk7)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_419,c_120940]) ).
tcf(c_121135,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,app(sk7,app(sk4,sk7))),X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(app(X0,app(sk7,app(sk4,sk7))),X1)) ),
inference(superposition,[status(thm)],[c_420,c_120940]) ).
tcf(c_121136,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(iPr_def_12,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20331,c_120940]) ).
tcf(c_121137,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20339,c_120940]) ).
tcf(c_121138,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(nil,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20315,c_120940]) ).
tcf(c_121139,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20295,c_120940]) ).
tcf(c_121142,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(nil,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20305,c_120940]) ).
tcf(c_121143,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20285,c_120940]) ).
tcf(c_121144,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_36763,c_120940]) ).
tcf(c_121145,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_36958,c_120940]) ).
tcf(c_121146,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_37047,c_120940]) ).
tcf(c_121147,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38396,c_120940]) ).
tcf(c_121148,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38769,c_120940]) ).
tcf(c_121149,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_39419,c_120940]) ).
tcf(c_121150,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41217,c_120940]) ).
tcf(c_121153,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43065,c_120940]) ).
tcf(c_121154,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43810,c_120940]) ).
tcf(c_121155,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_44222,c_120940]) ).
tcf(c_121156,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_46269,c_120940]) ).
tcf(c_121157,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_46627,c_120940]) ).
tcf(c_121158,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_46935,c_120940]) ).
tcf(c_121165,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_57364,c_120940]) ).
tcf(c_121166,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_57774,c_120940]) ).
tcf(c_121167,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_58149,c_120940]) ).
tcf(c_121168,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_59837,c_120940]) ).
tcf(c_121169,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_60305,c_120940]) ).
tcf(c_121170,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk7)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_60713,c_120940]) ).
tcf(c_121171,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk7)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_62324,c_120940]) ).
tcf(c_121172,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk7)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_62735,c_120940]) ).
tcf(c_121173,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk7)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_63072,c_120940]) ).
tcf(c_121174,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_66437,c_120940]) ).
tcf(c_121175,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68224,c_120940]) ).
tcf(c_121177,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68961,c_120940]) ).
tcf(c_121178,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_77726,c_120940]) ).
tcf(c_121179,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121143,c_89538]) ).
tcf(c_121184,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(nil,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121142,c_89538]) ).
tcf(c_121189,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121139,c_89538]) ).
tcf(c_121194,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(nil,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121138,c_89538]) ).
tcf(c_121199,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121137,c_89538]) ).
tcf(c_121204,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(iPr_def_12,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121136,c_89538]) ).
tcf(c_121209,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121178,c_89538,c_66447]) ).
tcf(c_121212,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk7)
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121177,c_89538,c_68959]) ).
tcf(c_121215,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121175,c_89538,c_68222]) ).
tcf(c_121218,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk7)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121173,c_89538]) ).
tcf(c_121222,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk7)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121172,c_89538]) ).
tcf(c_121226,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk7)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121171,c_89538]) ).
tcf(c_121230,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk7)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121170,c_89538]) ).
tcf(c_121234,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121169,c_89538]) ).
tcf(c_121238,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121168,c_89538]) ).
tcf(c_121242,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk7)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121167,c_89538]) ).
tcf(c_121246,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk7)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121166,c_89538]) ).
tcf(c_121250,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk7)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121165,c_89538]) ).
tcf(c_121257,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121155,c_112795,c_89538]) ).
tcf(c_121260,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121154,c_112798,c_89538]) ).
tcf(c_121263,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121153,c_112801,c_89538]) ).
tcf(c_121266,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121150,c_89538,c_89541]) ).
tcf(c_121269,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121149,c_89538,c_79220]) ).
tcf(c_121272,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121148,c_89538,c_79223]) ).
tcf(c_121275,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121147,c_89538,c_79226]) ).
tcf(c_121278,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121174,c_89538]) ).
tcf(c_121283,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121146,c_89538]) ).
tcf(c_121289,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121144,c_89538]) ).
tcf(c_121294,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,app(sk7,app(sk4,sk7))),X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,app(sk7,app(sk4,sk7))),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121135,c_89538]) ).
tcf(c_121299,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk7)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121134,c_89538]) ).
tcf(c_121441,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk4)),X0),skaf45(app(sk7,app(sk4,sk4)),sk7))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7))
| ~ ssList(app(app(sk7,skaf45(app(sk7,app(sk4,sk4)),sk7)),X0)) ),
inference(superposition,[status(thm)],[c_115694,c_420]) ).
tcf(c_121442,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7))
| ( app(X0,skaf45(app(sk7,app(sk4,sk4)),sk7)) != app(sk7,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_115694,c_398]) ).
tcf(c_121444,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf45(app(sk7,app(sk4,sk4)),sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7)) ),
inference(superposition,[status(thm)],[c_115694,c_405]) ).
tcf(c_121445,plain,
( ( skaf45(app(sk7,app(sk4,sk4)),sk7) = nil )
| ~ ssList(sk7)
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7))
| ( app(sk7,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_115694,c_366]) ).
tcf(c_121446,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7))
| ( app(sk7,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_115694,c_365]) ).
tcf(c_121448,plain,
( rearsegP(app(sk7,app(sk4,sk4)),skaf45(app(sk7,app(sk4,sk4)),sk7))
| ~ ssList(sk7)
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7)) ),
inference(superposition,[status(thm)],[c_115694,c_807]) ).
tcf(c_121449,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7))
| ~ memberP(skaf45(app(sk7,app(sk4,sk4)),sk7),X0) ),
inference(superposition,[status(thm)],[c_115694,c_388]) ).
tcf(c_121450,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7))
| ~ rearsegP(skaf45(app(sk7,app(sk4,sk4)),sk7),X0) ),
inference(superposition,[status(thm)],[c_115694,c_383]) ).
tcf(c_121451,plain,
! [X0: $i] :
( ( skaf45(app(sk7,app(sk4,sk4)),sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7))
| ( app(sk7,app(sk4,sk4)) != app(sk7,X0) ) ),
inference(superposition,[status(thm)],[c_115694,c_397]) ).
tcf(c_121452,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7)) ),
inference(superposition,[status(thm)],[c_115694,c_387]) ).
tcf(c_121453,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7)) ),
inference(superposition,[status(thm)],[c_115694,c_384]) ).
tcf(c_121454,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk4)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7))
| ~ segmentP(skaf45(app(sk7,app(sk4,sk4)),sk7),X0) ),
inference(superposition,[status(thm)],[c_115694,c_419]) ).
tcf(c_121455,plain,
( ( skaf45(app(sk7,app(sk4,sk4)),sk7) = skaf45(iPr_def_16,sk7) )
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7))
| ( app(sk7,app(sk4,sk4)) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_115694,c_26416]) ).
tcf(c_121456,plain,
( ( skaf45(app(sk7,app(sk4,sk4)),sk7) = skaf45(iPr_def_15,sk7) )
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7))
| ( app(sk7,app(sk4,sk4)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_115694,c_24771]) ).
tcf(c_121457,plain,
( ( skaf45(app(sk7,app(sk4,sk4)),sk7) = iPr_def_12 )
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7))
| ( app(sk7,app(sk4,sk4)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_115694,c_17091]) ).
tcf(c_121458,plain,
( ( skaf45(app(sk7,app(sk4,sk4)),sk7) = nil )
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7))
| ( app(sk7,app(sk4,sk4)) != sk7 ) ),
inference(superposition,[status(thm)],[c_115694,c_17074]) ).
tcf(c_121459,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7))
| ~ ssList(app(sk7,skaf45(app(sk7,app(sk4,sk4)),sk7))) ),
inference(superposition,[status(thm)],[c_115694,c_20769]) ).
tcf(c_121460,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7)) ),
inference(superposition,[status(thm)],[c_115694,c_20310]) ).
tcf(c_121461,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7)) ),
inference(superposition,[status(thm)],[c_115694,c_20290]) ).
tcf(c_121462,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121461,c_298]) ).
tcf(c_121466,plain,
! [X0: $i] :
( segmentP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121460,c_298]) ).
tcf(c_121470,plain,
rearsegP(app(sk7,app(sk4,sk4)),skaf45(app(sk7,app(sk4,sk4)),sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_121448,c_6483,c_298]) ).
tcf(c_121471,plain,
( ( sk7 = nil )
| ( app(sk7,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121446,c_6483,c_298]) ).
tcf(c_121474,plain,
! [X0: $i] :
( frontsegP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ frontsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121453,c_6483,c_298]) ).
tcf(c_121478,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121452,c_6483,c_298]) ).
tcf(c_121482,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7)) ),
inference(light_normalisation,[status(thm)],[c_121459,c_115694]) ).
tcf(c_121483,plain,
segmentP(app(sk7,app(sk4,sk4)),sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_121482,c_89541,c_298]) ).
tcf(c_121484,plain,
( ( skaf45(app(sk7,app(sk4,sk4)),sk7) = nil )
| ( app(sk7,app(sk4,sk4)) != sk7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121458,c_298]) ).
tcf(c_121487,plain,
( ( skaf45(app(sk7,app(sk4,sk4)),sk7) = iPr_def_12 )
| ( app(sk7,app(sk4,sk4)) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121457,c_298]) ).
tcf(c_121490,plain,
( ( skaf45(app(sk7,app(sk4,sk4)),sk7) = skaf45(iPr_def_15,sk7) )
| ( app(sk7,app(sk4,sk4)) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121456,c_298]) ).
tcf(c_121493,plain,
( ( skaf45(app(sk7,app(sk4,sk4)),sk7) = skaf45(iPr_def_16,sk7) )
| ( app(sk7,app(sk4,sk4)) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121455,c_298]) ).
tcf(c_121496,plain,
( ( skaf45(app(sk7,app(sk4,sk4)),sk7) = nil )
| ( app(sk7,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121445,c_6483,c_298]) ).
tcf(c_121499,plain,
! [X0: $i] :
( rearsegP(app(sk7,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(app(sk7,app(sk4,sk4)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121450,c_6483,c_298]) ).
tcf(c_121503,plain,
! [X0: $i] :
( memberP(app(sk7,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(app(sk7,app(sk4,sk4)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121449,c_6483,c_298]) ).
tcf(c_121507,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf45(app(sk7,app(sk4,sk4)),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk7,app(sk4,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121444,c_6483,c_298]) ).
tcf(c_121512,plain,
! [X0: $i] :
( ( skaf45(app(sk7,app(sk4,sk4)),sk7) = X0 )
| ~ ssList(X0)
| ( app(sk7,app(sk4,sk4)) != app(sk7,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121451,c_6483,c_298]) ).
tcf(c_121516,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(X0,skaf45(app(sk7,app(sk4,sk4)),sk7)) != app(sk7,app(sk4,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121442,c_6483,c_298]) ).
tcf(c_121520,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk7,app(sk4,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(app(sk7,app(sk4,sk4)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121454,c_6483,c_298]) ).
tcf(c_121525,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk4)),X0),skaf45(app(sk7,app(sk4,sk4)),sk7))
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7))
| ~ ssList(app(app(sk7,app(sk4,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_121441,c_115694]) ).
tcf(c_121526,plain,
! [X0: $i] :
( segmentP(app(app(sk7,app(sk4,sk4)),X0),skaf45(app(sk7,app(sk4,sk4)),sk7))
| ~ ssList(X0)
| ~ ssList(app(app(sk7,app(sk4,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121525,c_6483,c_298]) ).
tcf(c_121620,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk7,app(sk4,sk4)),sk7))
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk7,app(sk4,sk4)))
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7)) ),
inference(superposition,[status(thm)],[c_121470,c_400]) ).
tcf(c_121621,plain,
( ( app(skaf46(app(sk7,app(sk4,sk4)),skaf45(app(sk7,app(sk4,sk4)),sk7)),skaf45(app(sk7,app(sk4,sk4)),sk7)) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7)) ),
inference(superposition,[status(thm)],[c_121470,c_378]) ).
tcf(c_121622,plain,
( ( skaf45(app(sk7,app(sk4,sk4)),sk7) = app(sk7,app(sk4,sk4)) )
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(skaf45(app(sk7,app(sk4,sk4)),sk7))
| ~ rearsegP(skaf45(app(sk7,app(sk4,sk4)),sk7),app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_121470,c_375]) ).
tcf(c_121623,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk7,app(sk4,sk4)),sk7))
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121620,c_89541,c_298]) ).
tcf(c_121627,plain,
( ( skaf45(app(sk7,app(sk4,sk4)),sk7) = app(sk7,app(sk4,sk4)) )
| ~ rearsegP(skaf45(app(sk7,app(sk4,sk4)),sk7),app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121622,c_89541,c_298]) ).
tcf(c_121630,plain,
app(skaf46(app(sk7,app(sk4,sk4)),skaf45(app(sk7,app(sk4,sk4)),sk7)),skaf45(app(sk7,app(sk4,sk4)),sk7)) = app(sk7,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_121621,c_89541,c_298]) ).
tcf(c_121687,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk7,X1)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_121474,c_401]) ).
tcf(c_121688,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk7,app(sk4,sk4)),X0)) = app(sk7,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_121474,c_379]) ).
tcf(c_121689,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_121474,c_376]) ).
tcf(c_121702,plain,
( frontsegP(app(sk7,app(sk4,sk4)),sk4)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_121474,c_92800]) ).
tcf(c_121703,plain,
( frontsegP(app(sk7,app(sk4,sk4)),sk4)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk7,app(sk4,sk4))
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_121474,c_89322]) ).
tcf(c_121704,plain,
( frontsegP(app(sk7,app(sk4,sk4)),sk4)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(sk7,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_121474,c_91606]) ).
tcf(c_121705,plain,
( frontsegP(app(sk7,app(sk4,sk4)),sk4)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_121474,c_91570]) ).
tcf(c_121713,plain,
( frontsegP(app(sk7,app(sk4,sk4)),sk4)
| ~ frontsegP(sk7,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121703,c_79152,c_89541]) ).
tcf(c_121716,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk7,X1)
| ~ frontsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121687,c_89541]) ).
tcf(c_121722,plain,
( frontsegP(app(sk7,app(sk4,sk4)),sk4)
| ~ frontsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121705,c_89541,c_79220]) ).
tcf(c_121725,plain,
( frontsegP(app(sk7,app(sk4,sk4)),sk4)
| ~ frontsegP(sk7,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121704,c_89541,c_79223]) ).
tcf(c_121728,plain,
( frontsegP(app(sk7,app(sk4,sk4)),sk4)
| ~ frontsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121702,c_89541,c_79226]) ).
tcf(c_121731,plain,
! [X0: $i] :
( ( app(sk7,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk7,X0)
| ~ frontsegP(X0,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121689,c_89541]) ).
tcf(c_121736,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk7,app(sk4,sk4)),X0)) = app(sk7,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ frontsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121688,c_89541]) ).
tcf(c_121794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf82(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf82(X1)))
| ~ ssList(skaf82(skaf82(X1)))
| ~ leq(X2,skaf83(skaf82(X1)))
| ~ leq(skaf83(skaf82(X1)),X2)
| ~ ssList(app(app(X0,skaf82(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf82(X1)),skaf82(skaf82(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10986,c_432]) ).
tcf(c_121795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf82(X1)))
| leq(skaf83(skaf82(X1)),X2)
| ( skaf82(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf82(X1)))
| ~ ssList(skaf82(skaf82(X1)))
| ~ ssList(app(app(X0,skaf82(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf82(X1)),skaf82(skaf82(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10986,c_431]) ).
tcf(c_121796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf82(X1)))
| lt(skaf83(skaf82(X1)),X2)
| ( skaf82(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf82(X1)))
| ~ ssList(skaf82(skaf82(X1)))
| ~ ssList(app(app(X0,skaf82(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf82(X1)),skaf82(skaf82(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10986,c_430]) ).
tcf(c_121797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf82(X1)),X2)
| ( skaf82(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf82(X1)))
| ~ ssList(skaf82(skaf82(X1)))
| ~ ssList(app(app(X0,skaf82(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf82(X1)),skaf82(skaf82(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10986,c_429]) ).
tcf(c_121798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf82(X1)),X2)
| ( skaf82(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf82(X1)))
| ~ ssList(skaf82(skaf82(X1)))
| ~ ssList(app(app(X0,skaf82(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf82(X1)),skaf82(skaf82(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10986,c_428]) ).
tcf(c_121799,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf82(X1)))
| ~ ssList(skaf82(skaf82(X1)))
| ~ ssList(app(app(X0,skaf82(X1)),cons(skaf83(skaf82(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf82(X1)),skaf82(skaf82(X1)))),cons(skaf83(skaf82(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10986,c_426]) ).
tcf(c_121800,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf82(X1)),skaf83(skaf82(X1)))
| ( skaf82(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf82(X1)))
| ~ ssList(skaf82(skaf82(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf82(X1)),skaf82(skaf82(X1))))) ),
inference(superposition,[status(thm)],[c_10986,c_422]) ).
tcf(c_121801,plain,
! [X0: $i] :
( memberP(skaf82(X0),skaf83(skaf82(X0)))
| ( skaf82(X0) = nil )
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10986,c_385]) ).
tcf(c_121803,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( skaf82(skaf82(X0)) = nil )
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0)))
| ( skaf82(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10986,c_21847]) ).
tcf(c_121804,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( skaf82(skaf82(X0)) = nil )
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0)))
| ( skaf82(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10986,c_21842]) ).
tcf(c_121805,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( skaf83(skaf82(X0)) = sk5 )
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0)))
| ( skaf82(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10986,c_21750]) ).
tcf(c_121806,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( skaf83(skaf82(X0)) = sk6 )
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0)))
| ( skaf82(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10986,c_21745]) ).
tcf(c_121807,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( skaf83(skaf82(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf82(X0))
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10986,c_21595]) ).
tcf(c_121808,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( skaf83(skaf82(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf82(X0))
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10986,c_21590]) ).
tcf(c_121809,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( skaf83(skaf82(X0)) = sk5 )
| ~ frontsegP(skaf82(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10986,c_21585]) ).
tcf(c_121810,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( skaf83(skaf82(X0)) = sk6 )
| ~ frontsegP(skaf82(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10986,c_21580]) ).
tcf(c_121811,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf82(X0)))
| ( skaf82(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf82(X0))
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10986,c_21202]) ).
tcf(c_121812,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf82(X0)))
| ( skaf82(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf82(X0))
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10986,c_21197]) ).
tcf(c_121815,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X0) = nil )
| ( skaf83(skaf82(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0)))
| ~ frontsegP(skaf82(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10986,c_423]) ).
tcf(c_121816,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf82(X0)),X2)
| ( skaf82(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0)))
| ~ frontsegP(skaf82(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10986,c_421]) ).
tcf(c_121817,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf82(X0)),X1)
| ( skaf82(X0) = nil )
| ( skaf83(skaf82(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0)))
| ~ memberP(skaf82(X0),X1) ),
inference(superposition,[status(thm)],[c_10986,c_408]) ).
tcf(c_121818,plain,
! [X0: $i] :
( leq(skaf83(skaf82(X0)),hd(skaf82(skaf82(X0))))
| ( skaf82(X0) = nil )
| ( skaf82(skaf82(X0)) = nil )
| ~ totalorderedP(skaf82(X0))
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10986,c_382]) ).
tcf(c_121819,plain,
! [X0: $i] :
( lt(skaf83(skaf82(X0)),hd(skaf82(skaf82(X0))))
| ( skaf82(X0) = nil )
| ( skaf82(skaf82(X0)) = nil )
| ~ strictorderedP(skaf82(X0))
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10986,c_381]) ).
tcf(c_121820,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf82(X0)))
| ( skaf82(X0) = nil )
| ( skaf82(skaf82(X0)) = nil )
| ~ totalorderedP(skaf82(X0))
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10986,c_372]) ).
tcf(c_121821,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf82(X0)))
| ( skaf82(X0) = nil )
| ( skaf82(skaf82(X0)) = nil )
| ~ strictorderedP(skaf82(X0))
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0))) ),
inference(superposition,[status(thm)],[c_10986,c_371]) ).
tcf(c_121822,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0)))
| ( skaf82(skaf82(X0)) != skaf82(X0) ) ),
inference(superposition,[status(thm)],[c_10986,c_346]) ).
tcf(c_121824,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf82(X1)),X0),skaf82(X1))
| ( skaf82(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf82(X1)))
| ~ ssList(skaf82(skaf82(X1)))
| ~ frontsegP(X0,skaf82(skaf82(X1))) ),
inference(superposition,[status(thm)],[c_10986,c_425]) ).
tcf(c_121825,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X2) = nil )
| ( skaf83(skaf82(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf82(X2)))
| ~ ssList(skaf82(skaf82(X2)))
| ~ ssList(app(X0,cons(X1,skaf82(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf82(X2)),skaf82(skaf82(X2)))))) ),
inference(superposition,[status(thm)],[c_10986,c_427]) ).
tcf(c_121826,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X2) = nil )
| ( skaf82(skaf82(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf82(X2)))
| ~ ssList(skaf82(skaf82(X2)))
| ( cons(X0,X1) != skaf82(X2) ) ),
inference(superposition,[status(thm)],[c_10986,c_418]) ).
tcf(c_121827,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X2) = nil )
| ( skaf83(skaf82(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf82(X2)))
| ~ ssList(skaf82(skaf82(X2)))
| ( cons(X0,X1) != skaf82(X2) ) ),
inference(superposition,[status(thm)],[c_10986,c_417]) ).
tcf(c_121828,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X2) = nil )
| ( skaf83(skaf82(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf82(X2)))
| ~ ssList(skaf82(skaf82(X2)))
| ~ frontsegP(cons(X0,X1),skaf82(X2)) ),
inference(superposition,[status(thm)],[c_10986,c_423]) ).
tcf(c_121829,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf82(X2)))
| ( skaf82(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf82(X2)))
| ~ ssList(skaf82(skaf82(X2)))
| ~ frontsegP(cons(X0,X1),skaf82(X2)) ),
inference(superposition,[status(thm)],[c_10986,c_421]) ).
tcf(c_121830,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf82(X0),cons(skaf83(skaf82(X0)),X1))
| ( skaf82(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0)))
| ~ frontsegP(skaf82(skaf82(X0)),X1) ),
inference(superposition,[status(thm)],[c_10986,c_425]) ).
tcf(c_121831,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(X0),X1)
| ( skaf82(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf82(X0)))
| ~ ssList(skaf82(skaf82(X0)))
| ~ memberP(skaf82(skaf82(X0)),X1) ),
inference(superposition,[status(thm)],[c_10986,c_386]) ).
tcf(c_121832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf82(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf82(X3)))
| ~ ssList(skaf82(skaf82(X3)))
| ~ leq(X1,skaf83(skaf82(X3)))
| ~ leq(skaf83(skaf82(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf82(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf82(X3)),skaf82(skaf82(X3))))) ),
inference(superposition,[status(thm)],[c_10986,c_432]) ).
tcf(c_121833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf82(X3)))
| leq(skaf83(skaf82(X3)),X1)
| ( skaf82(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf82(X3)))
| ~ ssList(skaf82(skaf82(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf82(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf82(X3)),skaf82(skaf82(X3))))) ),
inference(superposition,[status(thm)],[c_10986,c_431]) ).
tcf(c_121834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf82(X3)))
| lt(skaf83(skaf82(X3)),X1)
| ( skaf82(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf82(X3)))
| ~ ssList(skaf82(skaf82(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf82(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf82(X3)),skaf82(skaf82(X3))))) ),
inference(superposition,[status(thm)],[c_10986,c_430]) ).
tcf(c_121835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf82(X3)))
| ( skaf82(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf82(X3)))
| ~ ssList(skaf82(skaf82(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf82(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf82(X3)),skaf82(skaf82(X3))))) ),
inference(superposition,[status(thm)],[c_10986,c_429]) ).
tcf(c_121836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf82(X3)))
| ( skaf82(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf82(X3)))
| ~ ssList(skaf82(skaf82(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf82(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf82(X3)),skaf82(skaf82(X3))))) ),
inference(superposition,[status(thm)],[c_10986,c_428]) ).
tcf(c_121837,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf82(X1)))
| ~ ssList(skaf82(skaf82(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf82(X1)),X2)),skaf82(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf82(X1)),X2)),cons(skaf83(skaf82(X1)),skaf82(skaf82(X1))))) ),
inference(superposition,[status(thm)],[c_10986,c_426]) ).
tcf(c_121838,plain,
! [X0: $i] :
( memberP(skaf82(X0),skaf83(skaf82(X0)))
| ( skaf82(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121801,c_259,c_260]) ).
tcf(c_121841,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( skaf82(skaf82(X0)) != skaf82(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121822,c_259,c_260]) ).
tcf(c_121844,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf82(X0)))
| ( skaf82(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf82(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121812,c_259,c_260]) ).
tcf(c_121848,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf82(X0)))
| ( skaf82(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf82(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121811,c_259,c_260]) ).
tcf(c_121852,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( skaf83(skaf82(X0)) = sk6 )
| ~ frontsegP(skaf82(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121810,c_259,c_260]) ).
tcf(c_121856,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( skaf83(skaf82(X0)) = sk5 )
| ~ frontsegP(skaf82(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121809,c_259,c_260]) ).
tcf(c_121860,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( skaf83(skaf82(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf82(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121808,c_259,c_260]) ).
tcf(c_121864,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( skaf83(skaf82(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf82(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121807,c_259,c_260]) ).
tcf(c_121868,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( skaf83(skaf82(X0)) = sk6 )
| ( skaf82(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121806,c_259,c_260]) ).
tcf(c_121872,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( skaf83(skaf82(X0)) = sk5 )
| ( skaf82(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121805,c_259,c_260]) ).
tcf(c_121876,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( skaf82(skaf82(X0)) = nil )
| ( skaf82(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121804,c_259,c_260]) ).
tcf(c_121880,plain,
! [X0: $i] :
( ( skaf82(X0) = nil )
| ( skaf82(skaf82(X0)) = nil )
| ( skaf82(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121803,c_259,c_260]) ).
tcf(c_121884,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(X0),X1)
| ( skaf82(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf82(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121831,c_259,c_260]) ).
tcf(c_121889,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf82(X0)))
| ( skaf82(X0) = nil )
| ( skaf82(skaf82(X0)) = nil )
| ~ strictorderedP(skaf82(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121821,c_259,c_260]) ).
tcf(c_121894,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf82(X0)))
| ( skaf82(X0) = nil )
| ( skaf82(skaf82(X0)) = nil )
| ~ totalorderedP(skaf82(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121820,c_259,c_260]) ).
tcf(c_121899,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf82(X0),cons(skaf83(skaf82(X0)),X1))
| ( skaf82(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf82(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121830,c_259,c_260]) ).
tcf(c_121904,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf82(X1)),X0),skaf82(X1))
| ( skaf82(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf82(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121824,c_259,c_260]) ).
tcf(c_121909,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf82(X2)))
| ( skaf82(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf82(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121829,c_259,c_260]) ).
tcf(c_121915,plain,
! [X0: $i] :
( lt(skaf83(skaf82(X0)),hd(skaf82(skaf82(X0))))
| ( skaf82(X0) = nil )
| ( skaf82(skaf82(X0)) = nil )
| ~ strictorderedP(skaf82(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121819,c_259,c_260]) ).
tcf(c_121920,plain,
! [X0: $i] :
( leq(skaf83(skaf82(X0)),hd(skaf82(skaf82(X0))))
| ( skaf82(X0) = nil )
| ( skaf82(skaf82(X0)) = nil )
| ~ totalorderedP(skaf82(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121818,c_259,c_260]) ).
tcf(c_121925,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf82(X0)),X2)
| ( skaf82(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf82(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121816,c_259,c_260]) ).
tcf(c_121931,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X2) = nil )
| ( skaf83(skaf82(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf82(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121828,c_259,c_260]) ).
tcf(c_121937,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf82(X0)),X1)
| ( skaf82(X0) = nil )
| ( skaf83(skaf82(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf82(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121817,c_259,c_260]) ).
tcf(c_121943,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X0) = nil )
| ( skaf83(skaf82(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf82(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121815,c_259,c_260]) ).
tcf(c_121949,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X2) = nil )
| ( skaf83(skaf82(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf82(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121827,c_259,c_260]) ).
tcf(c_121955,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X2) = nil )
| ( skaf82(skaf82(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf82(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121826,c_259,c_260]) ).
tcf(c_121961,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf82(X1)),skaf83(skaf82(X1)))
| ( skaf82(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf82(X1)),skaf82(skaf82(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121800,c_259,c_260]) ).
tcf(c_121966,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X2) = nil )
| ( skaf83(skaf82(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf82(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf82(X2)),skaf82(skaf82(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121825,c_259,c_260]) ).
tcf(c_121973,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf82(X1)),X2)),skaf82(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf82(X1)),X2)),cons(skaf83(skaf82(X1)),skaf82(skaf82(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121837,c_259,c_260]) ).
tcf(c_121979,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf82(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf82(X1)),cons(skaf83(skaf82(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf82(X1)),skaf82(skaf82(X1)))),cons(skaf83(skaf82(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121799,c_259,c_260]) ).
tcf(c_121985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf82(X3)))
| ( skaf82(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf82(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf82(X3)),skaf82(skaf82(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121836,c_259,c_260]) ).
tcf(c_121993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf82(X3)))
| ( skaf82(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf82(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf82(X3)),skaf82(skaf82(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121835,c_259,c_260]) ).
tcf(c_122001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf82(X1)),X2)
| ( skaf82(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf82(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf82(X1)),skaf82(skaf82(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121798,c_259,c_260]) ).
tcf(c_122009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf82(X1)),X2)
| ( skaf82(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf82(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf82(X1)),skaf82(skaf82(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121797,c_259,c_260]) ).
tcf(c_122017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf82(X3)))
| lt(skaf83(skaf82(X3)),X1)
| ( skaf82(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf82(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf82(X3)),skaf82(skaf82(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121834,c_259,c_260]) ).
tcf(c_122026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf82(X3)))
| leq(skaf83(skaf82(X3)),X1)
| ( skaf82(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf82(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf82(X3)),skaf82(skaf82(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121833,c_259,c_260]) ).
tcf(c_122035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf82(X1)))
| lt(skaf83(skaf82(X1)),X2)
| ( skaf82(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf82(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf82(X1)),skaf82(skaf82(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121796,c_259,c_260]) ).
tcf(c_122044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf82(X1)))
| leq(skaf83(skaf82(X1)),X2)
| ( skaf82(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf82(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf82(X1)),skaf82(skaf82(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121795,c_259,c_260]) ).
tcf(c_122053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf82(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf82(X3)))
| ~ leq(skaf83(skaf82(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf82(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf82(X3)),skaf82(skaf82(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121832,c_259,c_260]) ).
tcf(c_122062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf82(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf82(X1)))
| ~ leq(skaf83(skaf82(X1)),X2)
| ~ ssList(app(app(X0,skaf82(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf82(X1)),skaf82(skaf82(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121794,c_259,c_260]) ).
tcf(c_122289,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,app(iPr_def_14,skaf43(X0,X1))))
| ( app(iPr_def_14,skaf43(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf43(X0,X1)))
| ~ ssList(app(iPr_def_14,skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_111528,c_407]) ).
tcf(c_122290,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,app(iPr_def_14,skaf43(X0,X1))))
| ( app(iPr_def_14,skaf43(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf43(X0,X1)))
| ~ ssList(app(iPr_def_14,skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_111528,c_406]) ).
tcf(c_122306,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,app(iPr_def_14,skaf42(X0,X1))))
| ( app(iPr_def_14,skaf42(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk6)
| ~ strictorderedP(app(iPr_def_14,skaf42(X0,X1)))
| ~ ssList(app(iPr_def_14,skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_111529,c_407]) ).
tcf(c_122307,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,app(iPr_def_14,skaf42(X0,X1))))
| ( app(iPr_def_14,skaf42(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk6)
| ~ totalorderedP(app(iPr_def_14,skaf42(X0,X1)))
| ~ ssList(app(iPr_def_14,skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_111529,c_406]) ).
tcf(c_122395,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(X0,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_121483,c_399]) ).
tcf(c_122396,plain,
( ( app(app(skaf47(app(sk7,app(sk4,sk4)),sk7),sk7),skaf48(sk7,app(sk7,app(sk4,sk4)))) = app(sk7,app(sk4,sk4)) )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_121483,c_415]) ).
tcf(c_122397,plain,
( ( app(sk7,app(sk4,sk4)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk7,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_121483,c_374]) ).
tcf(c_122398,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ segmentP(X0,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122395,c_6483,c_89541]) ).
tcf(c_122402,plain,
( ( app(sk7,app(sk4,sk4)) = sk7 )
| ~ segmentP(sk7,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122397,c_6483,c_89541]) ).
tcf(c_122405,plain,
app(app(skaf47(app(sk7,app(sk4,sk4)),sk7),sk7),skaf48(sk7,app(sk7,app(sk4,sk4)))) = app(sk7,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_122396,c_6483,c_89541]) ).
tcf(c_122407,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac3,app(sk4,sk4))))
| ( cons(skac3,app(sk4,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac3)
| ~ strictorderedP(cons(skac3,app(sk4,sk4)))
| ~ ssList(cons(skac3,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_79250,c_407]) ).
tcf(c_122408,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac3,app(sk4,sk4))))
| ( cons(skac3,app(sk4,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac3)
| ~ totalorderedP(cons(skac3,app(sk4,sk4)))
| ~ ssList(cons(skac3,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_79250,c_406]) ).
tcf(c_122424,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,app(sk4,sk4))))
| ( cons(sk6,app(sk4,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_79277,c_407]) ).
tcf(c_122425,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,app(sk4,sk4))))
| ( cons(sk6,app(sk4,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_79277,c_406]) ).
tcf(c_122427,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,app(sk4,sk4))))
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122425,c_68248,c_68222]) ).
tcf(c_122432,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,app(sk4,sk4))))
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122424,c_68248,c_68222]) ).
tcf(c_122439,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,app(sk4,sk4))))
| ( cons(sk5,app(sk4,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,app(sk4,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_79280,c_407]) ).
tcf(c_122440,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,app(sk4,sk4))))
| ( cons(sk5,app(sk4,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,app(sk4,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_79280,c_406]) ).
tcf(c_122442,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,app(sk4,sk4))))
| ( cons(sk5,app(sk4,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122440,c_66447]) ).
tcf(c_122448,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,app(sk4,sk4))))
| ( cons(sk5,app(sk4,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122439,c_66447]) ).
tcf(c_122462,plain,
! [X0: $i] :
( ( app(skaf42(app(sk7,app(sk4,sk4)),X0),cons(X0,skaf43(X0,app(sk7,app(sk4,sk4))))) = app(sk7,app(sk4,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_121478,c_416]) ).
tcf(c_122464,plain,
! [X0: $i] :
( ( app(skaf42(app(sk7,app(sk4,sk4)),X0),cons(X0,skaf43(X0,app(sk7,app(sk4,sk4))))) = app(sk7,app(sk4,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122462,c_89541]) ).
tcf(c_122476,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk7)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_419,c_122398]) ).
tcf(c_122477,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,app(sk7,app(sk4,sk4))),X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(app(X0,app(sk7,app(sk4,sk4))),X1)) ),
inference(superposition,[status(thm)],[c_420,c_122398]) ).
tcf(c_122478,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(iPr_def_12,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20331,c_122398]) ).
tcf(c_122479,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20339,c_122398]) ).
tcf(c_122480,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(nil,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20315,c_122398]) ).
tcf(c_122481,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20295,c_122398]) ).
tcf(c_122484,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(nil,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20305,c_122398]) ).
tcf(c_122485,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20285,c_122398]) ).
tcf(c_122486,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_36763,c_122398]) ).
tcf(c_122487,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_36958,c_122398]) ).
tcf(c_122488,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_37047,c_122398]) ).
tcf(c_122489,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38396,c_122398]) ).
tcf(c_122490,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38769,c_122398]) ).
tcf(c_122491,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_39419,c_122398]) ).
tcf(c_122495,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43065,c_122398]) ).
tcf(c_122496,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_43810,c_122398]) ).
tcf(c_122497,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_44222,c_122398]) ).
tcf(c_122498,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_46269,c_122398]) ).
tcf(c_122499,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_46627,c_122398]) ).
tcf(c_122500,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_46935,c_122398]) ).
tcf(c_122507,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_57364,c_122398]) ).
tcf(c_122508,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_57774,c_122398]) ).
tcf(c_122509,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_58149,c_122398]) ).
tcf(c_122510,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_59837,c_122398]) ).
tcf(c_122511,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_60305,c_122398]) ).
tcf(c_122512,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk7)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_60713,c_122398]) ).
tcf(c_122513,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk7)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_62324,c_122398]) ).
tcf(c_122514,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk7)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_62735,c_122398]) ).
tcf(c_122515,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk7)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_63072,c_122398]) ).
tcf(c_122516,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_66437,c_122398]) ).
tcf(c_122517,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68224,c_122398]) ).
tcf(c_122519,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68961,c_122398]) ).
tcf(c_122520,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_77726,c_122398]) ).
tcf(c_122521,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122485,c_89541]) ).
tcf(c_122526,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(nil,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122484,c_89541]) ).
tcf(c_122531,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122481,c_89541]) ).
tcf(c_122536,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(nil,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122480,c_89541]) ).
tcf(c_122541,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122479,c_89541]) ).
tcf(c_122546,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(iPr_def_12,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122478,c_89541]) ).
tcf(c_122551,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122520,c_89541,c_66447]) ).
tcf(c_122554,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk7)
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122519,c_89541,c_68959]) ).
tcf(c_122557,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122517,c_89541,c_68222]) ).
tcf(c_122560,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk7)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122515,c_89541]) ).
tcf(c_122564,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk7)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122514,c_89541]) ).
tcf(c_122568,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk7)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122513,c_89541]) ).
tcf(c_122572,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk7)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122512,c_89541]) ).
tcf(c_122576,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122511,c_89541]) ).
tcf(c_122580,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122510,c_89541]) ).
tcf(c_122584,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk7)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122509,c_89541]) ).
tcf(c_122588,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk7)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122508,c_89541]) ).
tcf(c_122592,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk7)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122507,c_89541]) ).
tcf(c_122599,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122497,c_112795,c_89541]) ).
tcf(c_122602,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122496,c_112798,c_89541]) ).
tcf(c_122605,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122495,c_112801,c_89541]) ).
tcf(c_122608,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122491,c_89541,c_79220]) ).
tcf(c_122611,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122490,c_89541,c_79223]) ).
tcf(c_122614,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122489,c_89541,c_79226]) ).
tcf(c_122617,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122516,c_89541]) ).
tcf(c_122622,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122488,c_89541]) ).
tcf(c_122628,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122486,c_89541]) ).
tcf(c_122633,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,app(sk7,app(sk4,sk4))),X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,app(sk7,app(sk4,sk4))),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122477,c_89541]) ).
tcf(c_122638,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk7)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122476,c_89541]) ).
tcf(c_122728,plain,
! [X0: $i] :
( frontsegP(X0,sk8)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_69752,c_69752,c_112727]) ).
tcf(c_122738,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_384,c_122728]) ).
tcf(c_122739,plain,
! [X0: $i] :
( frontsegP(app(app(sk8,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(app(sk8,sk4),X0)) ),
inference(superposition,[status(thm)],[c_808,c_122728]) ).
tcf(c_122740,plain,
( frontsegP(cons(sk6,sk4),sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_122728]) ).
tcf(c_122741,plain,
( frontsegP(cons(sk6,sk7),sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_51316,c_122728]) ).
tcf(c_122742,plain,
( frontsegP(cons(sk6,sk8),sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_51801,c_122728]) ).
tcf(c_122743,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk4,app(sk8,sk4))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_122728]) ).
tcf(c_122744,plain,
( frontsegP(app(sk4,sk4),sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_79173,c_122728]) ).
tcf(c_122745,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk4,app(sk8,sk4))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_122728]) ).
tcf(c_122746,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk4,app(sk8,sk4))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_122728]) ).
tcf(c_122747,plain,
( frontsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk7,app(sk8,sk4))
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_121474,c_122728]) ).
tcf(c_122748,plain,
( frontsegP(app(sk7,sk4),sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(sk7,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_89482,c_122728]) ).
tcf(c_122749,plain,
( frontsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk7,app(sk8,sk4))
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_120748,c_122728]) ).
tcf(c_122750,plain,
( frontsegP(app(sk7,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk7,app(sk8,sk4))
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_116232,c_122728]) ).
tcf(c_122752,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_112796,c_122728]) ).
tcf(c_122753,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_112793,c_122728]) ).
tcf(c_122754,plain,
( frontsegP(cons(sk5,sk4),sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_122728]) ).
tcf(c_122755,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_68249,c_122728]) ).
tcf(c_122756,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_68556,c_122728]) ).
tcf(c_122757,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_68986,c_122728]) ).
tcf(c_122758,plain,
frontsegP(app(sk8,app(sk4,sk8)),sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_122753,c_112795]) ).
tcf(c_122759,plain,
frontsegP(app(sk8,app(sk4,sk7)),sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_122752,c_112798]) ).
tcf(c_122760,plain,
( frontsegP(cons(sk5,sk4),sk8)
| ~ frontsegP(iPr_def_12,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122754,c_112727,c_66402]) ).
tcf(c_122763,plain,
( frontsegP(app(sk7,sk4),sk8)
| ~ frontsegP(sk7,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122748,c_112727,c_89458]) ).
tcf(c_122766,plain,
( frontsegP(app(sk4,sk4),sk8)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122744,c_112727,c_79152]) ).
tcf(c_122769,plain,
( frontsegP(cons(sk6,sk8),sk8)
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122742,c_112727,c_28938]) ).
tcf(c_122772,plain,
( frontsegP(cons(sk6,sk7),sk8)
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122741,c_112727,c_28940]) ).
tcf(c_122775,plain,
( frontsegP(cons(sk6,sk4),sk8)
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122740,c_112727,c_28942]) ).
tcf(c_122778,plain,
! [X0: $i] :
( frontsegP(app(app(sk8,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(app(sk8,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122739,c_112727]) ).
tcf(c_122782,plain,
( frontsegP(app(sk7,app(sk4,sk8)),sk8)
| ~ frontsegP(sk7,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122750,c_112727,c_89535]) ).
tcf(c_122785,plain,
( frontsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ frontsegP(sk7,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122749,c_112727,c_89538]) ).
tcf(c_122788,plain,
( frontsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ frontsegP(sk7,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122747,c_112727,c_89541]) ).
tcf(c_122791,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk8)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122746,c_112727,c_79220]) ).
tcf(c_122794,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122745,c_112727,c_79223]) ).
tcf(c_122797,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122743,c_112727,c_79226]) ).
tcf(c_122800,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ frontsegP(cons(sk6,sk8),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122757,c_112727,c_68959]) ).
tcf(c_122803,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ frontsegP(cons(sk6,sk7),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122756,c_112727,c_68529]) ).
tcf(c_122806,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ frontsegP(cons(sk6,sk4),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122755,c_112727,c_68222]) ).
tcf(c_122809,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122738,c_112727]) ).
tcf(c_122889,plain,
! [X0: $i] :
( ( cons(sk5,app(X0,sk7)) = app(cons(sk5,X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6485,c_16530]) ).
tcf(c_122890,plain,
! [X0: $i] :
( ( cons(sk6,app(X0,sk7)) = app(cons(sk6,X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6484,c_16530]) ).
tcf(c_122891,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,sk7)) = app(cons(X1,X0),sk7) )
| ~ iPr_def_10
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6470,c_16530]) ).
tcf(c_122892,plain,
! [X0: $i] :
( ( cons(skac3,app(X0,sk7)) = app(cons(skac3,X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_256,c_16530]) ).
tcf(c_122893,plain,
! [X0: $i] :
( ( cons(skac2,app(X0,sk7)) = app(cons(skac2,X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_257,c_16530]) ).
tcf(c_122894,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf83(X1),app(X0,sk7)) = app(cons(skaf83(X1),X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_259,c_16530]) ).
tcf(c_122895,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf79(X1),app(X0,sk7)) = app(cons(skaf79(X1),X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_263,c_16530]) ).
tcf(c_122896,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf78(X1),app(X0,sk7)) = app(cons(skaf78(X1),X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_264,c_16530]) ).
tcf(c_122897,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf74(X1),app(X0,sk7)) = app(cons(skaf74(X1),X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_268,c_16530]) ).
tcf(c_122898,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf70(X1),app(X0,sk7)) = app(cons(skaf70(X1),X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_272,c_16530]) ).
tcf(c_122899,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf69(X1),app(X0,sk7)) = app(cons(skaf69(X1),X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_273,c_16530]) ).
tcf(c_122900,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf65(X1),app(X0,sk7)) = app(cons(skaf65(X1),X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_277,c_16530]) ).
tcf(c_122901,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf64(X1),app(X0,sk7)) = app(cons(skaf64(X1),X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_278,c_16530]) ).
tcf(c_122902,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf60(X1),app(X0,sk7)) = app(cons(skaf60(X1),X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_282,c_16530]) ).
tcf(c_122903,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf59(X1),app(X0,sk7)) = app(cons(skaf59(X1),X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_283,c_16530]) ).
tcf(c_122904,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf55(X1),app(X0,sk7)) = app(cons(skaf55(X1),X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_287,c_16530]) ).
tcf(c_122905,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf54(X1),app(X0,sk7)) = app(cons(skaf54(X1),X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_288,c_16530]) ).
tcf(c_122906,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf50(X1),app(X0,sk7)) = app(cons(skaf50(X1),X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_292,c_16530]) ).
tcf(c_122907,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf49(X1),app(X0,sk7)) = app(cons(skaf49(X1),X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_293,c_16530]) ).
tcf(c_122908,plain,
! [X0: $i,X1: $i] :
( ( cons(skaf44(X1),app(X0,sk7)) = app(cons(skaf44(X1),X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_294,c_16530]) ).
tcf(c_122909,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( cons(hd(X0),app(X1,sk7)) = app(cons(hd(X0),X1),sk7) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_325,c_16530]) ).
tcf(c_123078,plain,
cons(sk5,app(sk4,sk7)) = app(cons(sk5,sk4),sk7),
inference(superposition,[status(thm)],[c_6486,c_122889]) ).
tcf(c_123079,plain,
cons(sk5,app(sk7,sk7)) = app(cons(sk5,sk7),sk7),
inference(superposition,[status(thm)],[c_6483,c_122889]) ).
tcf(c_123080,plain,
cons(sk5,app(sk8,sk7)) = app(cons(sk5,sk8),sk7),
inference(superposition,[status(thm)],[c_6482,c_122889]) ).
tcf(c_123081,plain,
cons(sk5,app(nil,sk7)) = app(cons(sk5,nil),sk7),
inference(superposition,[status(thm)],[c_255,c_122889]) ).
tcf(c_123082,plain,
! [X0: $i] : cons(sk5,app(skaf82(X0),sk7)) = app(cons(sk5,skaf82(X0)),sk7),
inference(superposition,[status(thm)],[c_260,c_122889]) ).
tcf(c_123083,plain,
! [X0: $i] : cons(sk5,app(skaf81(X0),sk7)) = app(cons(sk5,skaf81(X0)),sk7),
inference(superposition,[status(thm)],[c_261,c_122889]) ).
tcf(c_123084,plain,
! [X0: $i] : cons(sk5,app(skaf80(X0),sk7)) = app(cons(sk5,skaf80(X0)),sk7),
inference(superposition,[status(thm)],[c_262,c_122889]) ).
tcf(c_123085,plain,
! [X0: $i] : cons(sk5,app(skaf77(X0),sk7)) = app(cons(sk5,skaf77(X0)),sk7),
inference(superposition,[status(thm)],[c_265,c_122889]) ).
tcf(c_123086,plain,
! [X0: $i] : cons(sk5,app(skaf76(X0),sk7)) = app(cons(sk5,skaf76(X0)),sk7),
inference(superposition,[status(thm)],[c_266,c_122889]) ).
tcf(c_123087,plain,
! [X0: $i] : cons(sk5,app(skaf75(X0),sk7)) = app(cons(sk5,skaf75(X0)),sk7),
inference(superposition,[status(thm)],[c_267,c_122889]) ).
tcf(c_123088,plain,
! [X0: $i] : cons(sk5,app(skaf73(X0),sk7)) = app(cons(sk5,skaf73(X0)),sk7),
inference(superposition,[status(thm)],[c_269,c_122889]) ).
tcf(c_123089,plain,
! [X0: $i] : cons(sk5,app(skaf72(X0),sk7)) = app(cons(sk5,skaf72(X0)),sk7),
inference(superposition,[status(thm)],[c_270,c_122889]) ).
tcf(c_123090,plain,
! [X0: $i] : cons(sk5,app(skaf71(X0),sk7)) = app(cons(sk5,skaf71(X0)),sk7),
inference(superposition,[status(thm)],[c_271,c_122889]) ).
tcf(c_123091,plain,
! [X0: $i] : cons(sk5,app(skaf68(X0),sk7)) = app(cons(sk5,skaf68(X0)),sk7),
inference(superposition,[status(thm)],[c_274,c_122889]) ).
tcf(c_123092,plain,
! [X0: $i] : cons(sk5,app(skaf67(X0),sk7)) = app(cons(sk5,skaf67(X0)),sk7),
inference(superposition,[status(thm)],[c_275,c_122889]) ).
tcf(c_123093,plain,
! [X0: $i] : cons(sk5,app(skaf66(X0),sk7)) = app(cons(sk5,skaf66(X0)),sk7),
inference(superposition,[status(thm)],[c_276,c_122889]) ).
tcf(c_123094,plain,
! [X0: $i] : cons(sk5,app(skaf63(X0),sk7)) = app(cons(sk5,skaf63(X0)),sk7),
inference(superposition,[status(thm)],[c_279,c_122889]) ).
tcf(c_123095,plain,
! [X0: $i] : cons(sk5,app(skaf62(X0),sk7)) = app(cons(sk5,skaf62(X0)),sk7),
inference(superposition,[status(thm)],[c_280,c_122889]) ).
tcf(c_123096,plain,
! [X0: $i] : cons(sk5,app(skaf61(X0),sk7)) = app(cons(sk5,skaf61(X0)),sk7),
inference(superposition,[status(thm)],[c_281,c_122889]) ).
tcf(c_123097,plain,
! [X0: $i] : cons(sk5,app(skaf58(X0),sk7)) = app(cons(sk5,skaf58(X0)),sk7),
inference(superposition,[status(thm)],[c_284,c_122889]) ).
tcf(c_123098,plain,
! [X0: $i] : cons(sk5,app(skaf57(X0),sk7)) = app(cons(sk5,skaf57(X0)),sk7),
inference(superposition,[status(thm)],[c_285,c_122889]) ).
tcf(c_123099,plain,
! [X0: $i] : cons(sk5,app(skaf56(X0),sk7)) = app(cons(sk5,skaf56(X0)),sk7),
inference(superposition,[status(thm)],[c_286,c_122889]) ).
tcf(c_123100,plain,
! [X0: $i] : cons(sk5,app(skaf53(X0),sk7)) = app(cons(sk5,skaf53(X0)),sk7),
inference(superposition,[status(thm)],[c_289,c_122889]) ).
tcf(c_123101,plain,
! [X0: $i] : cons(sk5,app(skaf52(X0),sk7)) = app(cons(sk5,skaf52(X0)),sk7),
inference(superposition,[status(thm)],[c_290,c_122889]) ).
tcf(c_123102,plain,
! [X0: $i] : cons(sk5,app(skaf51(X0),sk7)) = app(cons(sk5,skaf51(X0)),sk7),
inference(superposition,[status(thm)],[c_291,c_122889]) ).
tcf(c_123103,plain,
! [X0: $i,X1: $i] : cons(sk5,app(skaf48(X0,X1),sk7)) = app(cons(sk5,skaf48(X0,X1)),sk7),
inference(superposition,[status(thm)],[c_295,c_122889]) ).
tcf(c_123104,plain,
! [X0: $i,X1: $i] : cons(sk5,app(skaf47(X0,X1),sk7)) = app(cons(sk5,skaf47(X0,X1)),sk7),
inference(superposition,[status(thm)],[c_296,c_122889]) ).
tcf(c_123105,plain,
! [X0: $i,X1: $i] : cons(sk5,app(skaf46(X0,X1),sk7)) = app(cons(sk5,skaf46(X0,X1)),sk7),
inference(superposition,[status(thm)],[c_297,c_122889]) ).
tcf(c_123106,plain,
! [X0: $i,X1: $i] : cons(sk5,app(skaf45(X0,X1),sk7)) = app(cons(sk5,skaf45(X0,X1)),sk7),
inference(superposition,[status(thm)],[c_298,c_122889]) ).
tcf(c_123107,plain,
! [X0: $i,X1: $i] : cons(sk5,app(skaf43(X0,X1),sk7)) = app(cons(sk5,skaf43(X0,X1)),sk7),
inference(superposition,[status(thm)],[c_299,c_122889]) ).
tcf(c_123108,plain,
! [X0: $i,X1: $i] : cons(sk5,app(skaf42(X0,X1),sk7)) = app(cons(sk5,skaf42(X0,X1)),sk7),
inference(superposition,[status(thm)],[c_300,c_122889]) ).
tcf(c_123109,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk5,app(tl(X0),sk7)) = app(cons(sk5,tl(X0)),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_122889]) ).
tcf(c_123110,plain,
! [X0: $i,X1: $i] :
( ( cons(sk5,app(app(X1,X0),sk7)) = app(cons(sk5,app(X1,X0)),sk7) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_122889]) ).
tcf(c_123111,plain,
! [X0: $i,X1: $i] :
( ( cons(sk5,app(cons(X1,X0),sk7)) = app(cons(sk5,cons(X1,X0)),sk7) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_122889]) ).
tcf(c_123112,plain,
cons(sk5,app(iPr_def_16,sk7)) = app(cons(sk5,iPr_def_16),sk7),
inference(superposition,[status(thm)],[c_9020,c_122889]) ).
tcf(c_123113,plain,
cons(sk5,app(iPr_def_13,sk7)) = app(cons(sk5,iPr_def_13),sk7),
inference(superposition,[status(thm)],[c_9527,c_122889]) ).
tcf(c_123114,plain,
cons(sk5,app(iPr_def_12,sk7)) = app(cons(sk5,iPr_def_12),sk7),
inference(superposition,[status(thm)],[c_9489,c_122889]) ).
tcf(c_123115,plain,
cons(sk5,app(iPr_def_15,sk7)) = app(cons(sk5,iPr_def_15),sk7),
inference(superposition,[status(thm)],[c_24748,c_122889]) ).
tcf(c_123116,plain,
cons(sk5,app(iPr_def_14,sk7)) = app(cons(sk5,iPr_def_14),sk7),
inference(superposition,[status(thm)],[c_9488,c_122889]) ).
tcf(c_123117,plain,
cons(sk5,app(cons(sk5,sk4),sk7)) = app(cons(sk5,cons(sk5,sk4)),sk7),
inference(superposition,[status(thm)],[c_66402,c_122889]) ).
tcf(c_123118,plain,
cons(sk5,app(cons(sk6,sk4),sk7)) = app(cons(sk5,cons(sk6,sk4)),sk7),
inference(superposition,[status(thm)],[c_28942,c_122889]) ).
tcf(c_123119,plain,
cons(sk5,app(cons(sk6,sk7),sk7)) = app(cons(sk5,cons(sk6,sk7)),sk7),
inference(superposition,[status(thm)],[c_28940,c_122889]) ).
tcf(c_123120,plain,
cons(sk5,app(cons(sk6,sk8),sk7)) = app(cons(sk5,cons(sk6,sk8)),sk7),
inference(superposition,[status(thm)],[c_28938,c_122889]) ).
tcf(c_123121,plain,
cons(sk5,app(app(sk4,sk4),sk7)) = app(cons(sk5,app(sk4,sk4)),sk7),
inference(superposition,[status(thm)],[c_79152,c_122889]) ).
tcf(c_123122,plain,
cons(sk5,app(app(sk7,sk4),sk7)) = app(cons(sk5,app(sk7,sk4)),sk7),
inference(superposition,[status(thm)],[c_89458,c_122889]) ).
tcf(c_123123,plain,
cons(sk5,app(app(sk8,sk4),sk7)) = app(cons(sk5,app(sk8,sk4)),sk7),
inference(superposition,[status(thm)],[c_112727,c_122889]) ).
tcf(c_123124,plain,
cons(sk5,app(app(sk4,app(sk4,sk4)),sk7)) = app(cons(sk5,app(sk4,app(sk4,sk4))),sk7),
inference(superposition,[status(thm)],[c_79226,c_122889]) ).
tcf(c_123125,plain,
cons(sk5,app(app(sk4,app(sk4,sk7)),sk7)) = app(cons(sk5,app(sk4,app(sk4,sk7))),sk7),
inference(superposition,[status(thm)],[c_79223,c_122889]) ).
tcf(c_123126,plain,
cons(sk5,app(app(sk4,app(sk4,sk8)),sk7)) = app(cons(sk5,app(sk4,app(sk4,sk8))),sk7),
inference(superposition,[status(thm)],[c_79220,c_122889]) ).
tcf(c_123127,plain,
cons(sk5,app(app(sk7,app(sk4,sk4)),sk7)) = app(cons(sk5,app(sk7,app(sk4,sk4))),sk7),
inference(superposition,[status(thm)],[c_89541,c_122889]) ).
tcf(c_123128,plain,
cons(sk5,app(app(sk7,app(sk4,sk7)),sk7)) = app(cons(sk5,app(sk7,app(sk4,sk7))),sk7),
inference(superposition,[status(thm)],[c_89538,c_122889]) ).
tcf(c_123129,plain,
cons(sk5,app(app(sk7,app(sk4,sk8)),sk7)) = app(cons(sk5,app(sk7,app(sk4,sk8))),sk7),
inference(superposition,[status(thm)],[c_89535,c_122889]) ).
tcf(c_123130,plain,
cons(sk5,app(app(sk8,app(sk4,sk4)),sk7)) = app(cons(sk5,app(sk8,app(sk4,sk4))),sk7),
inference(superposition,[status(thm)],[c_112801,c_122889]) ).
tcf(c_123131,plain,
cons(sk5,app(app(sk8,app(sk4,sk7)),sk7)) = app(cons(sk5,app(sk8,app(sk4,sk7))),sk7),
inference(superposition,[status(thm)],[c_112798,c_122889]) ).
tcf(c_123132,plain,
cons(sk5,app(app(sk8,app(sk4,sk8)),sk7)) = app(cons(sk5,app(sk8,app(sk4,sk8))),sk7),
inference(superposition,[status(thm)],[c_112795,c_122889]) ).
tcf(c_123133,plain,
( ( cons(sk5,app(app(sk4,app(sk7,sk4)),sk7)) = app(cons(sk5,app(sk4,app(sk7,sk4))),sk7) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_122889]) ).
tcf(c_123134,plain,
( ( cons(sk5,app(app(sk4,app(sk7,sk7)),sk7)) = app(cons(sk5,app(sk4,app(sk7,sk7))),sk7) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_122889]) ).
tcf(c_123135,plain,
( ( cons(sk5,app(app(sk4,app(sk7,sk8)),sk7)) = app(cons(sk5,app(sk4,app(sk7,sk8))),sk7) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_122889]) ).
tcf(c_123136,plain,
( ( cons(sk5,app(app(sk7,app(sk7,sk4)),sk7)) = app(cons(sk5,app(sk7,app(sk7,sk4))),sk7) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_122889]) ).
tcf(c_123137,plain,
( ( cons(sk5,app(app(sk7,app(sk7,sk7)),sk7)) = app(cons(sk5,app(sk7,app(sk7,sk7))),sk7) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_122889]) ).
tcf(c_123138,plain,
( ( cons(sk5,app(app(sk7,app(sk7,sk8)),sk7)) = app(cons(sk5,app(sk7,app(sk7,sk8))),sk7) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_122889]) ).
tcf(c_123139,plain,
( ( cons(sk5,app(app(sk8,app(sk7,sk4)),sk7)) = app(cons(sk5,app(sk8,app(sk7,sk4))),sk7) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_122889]) ).
tcf(c_123140,plain,
( ( cons(sk5,app(app(sk8,app(sk7,sk7)),sk7)) = app(cons(sk5,app(sk8,app(sk7,sk7))),sk7) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_122889]) ).
tcf(c_123141,plain,
( ( cons(sk5,app(app(sk8,app(sk7,sk8)),sk7)) = app(cons(sk5,app(sk8,app(sk7,sk8))),sk7) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_122889]) ).
tcf(c_123142,plain,
( ( cons(sk5,app(app(sk4,app(sk8,sk4)),sk7)) = app(cons(sk5,app(sk4,app(sk8,sk4))),sk7) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_122889]) ).
tcf(c_123143,plain,
( ( cons(sk5,app(app(sk4,app(sk8,sk7)),sk7)) = app(cons(sk5,app(sk4,app(sk8,sk7))),sk7) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_122889]) ).
tcf(c_123144,plain,
( ( cons(sk5,app(app(sk4,app(sk8,sk8)),sk7)) = app(cons(sk5,app(sk4,app(sk8,sk8))),sk7) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_122889]) ).
tcf(c_123145,plain,
( ( cons(sk5,app(app(sk7,app(sk8,sk4)),sk7)) = app(cons(sk5,app(sk7,app(sk8,sk4))),sk7) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_122889]) ).
tcf(c_123146,plain,
( ( cons(sk5,app(app(sk7,app(sk8,sk7)),sk7)) = app(cons(sk5,app(sk7,app(sk8,sk7))),sk7) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_122889]) ).
tcf(c_123147,plain,
( ( cons(sk5,app(app(sk7,app(sk8,sk8)),sk7)) = app(cons(sk5,app(sk7,app(sk8,sk8))),sk7) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_122889]) ).
tcf(c_123148,plain,
( ( cons(sk5,app(app(sk8,app(sk8,sk4)),sk7)) = app(cons(sk5,app(sk8,app(sk8,sk4))),sk7) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_122889]) ).
tcf(c_123149,plain,
( ( cons(sk5,app(app(sk8,app(sk8,sk7)),sk7)) = app(cons(sk5,app(sk8,app(sk8,sk7))),sk7) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_122889]) ).
tcf(c_123150,plain,
( ( cons(sk5,app(app(sk8,app(sk8,sk8)),sk7)) = app(cons(sk5,app(sk8,app(sk8,sk8))),sk7) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_122889]) ).
tcf(c_123151,plain,
cons(sk5,app(cons(sk5,app(sk4,sk4)),sk7)) = app(cons(sk5,cons(sk5,app(sk4,sk4))),sk7),
inference(superposition,[status(thm)],[c_66447,c_122889]) ).
tcf(c_123152,plain,
( ( cons(sk5,app(cons(sk5,app(sk7,sk4)),sk7)) = app(cons(sk5,cons(sk5,app(sk7,sk4))),sk7) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_122889]) ).
tcf(c_123153,plain,
( ( cons(sk5,app(cons(sk5,app(sk8,sk4)),sk7)) = app(cons(sk5,cons(sk5,app(sk8,sk4))),sk7) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_122889]) ).
tcf(c_123154,plain,
cons(sk5,app(cons(sk6,app(sk4,sk4)),sk7)) = app(cons(sk5,cons(sk6,app(sk4,sk4))),sk7),
inference(superposition,[status(thm)],[c_68222,c_122889]) ).
tcf(c_123155,plain,
cons(sk5,app(cons(sk6,app(sk7,sk4)),sk7)) = app(cons(sk5,cons(sk6,app(sk7,sk4))),sk7),
inference(superposition,[status(thm)],[c_68529,c_122889]) ).
tcf(c_123156,plain,
cons(sk5,app(cons(sk6,app(sk8,sk4)),sk7)) = app(cons(sk5,cons(sk6,app(sk8,sk4))),sk7),
inference(superposition,[status(thm)],[c_68959,c_122889]) ).
tcf(c_123157,plain,
cons(sk5,cons(sk6,sk7)) = app(cons(sk5,iPr_def_14),sk7),
inference(light_normalisation,[status(thm)],[c_123116,c_28959]) ).
tcf(c_123158,plain,
cons(sk5,sk7) = app(iPr_def_12,sk7),
inference(light_normalisation,[status(thm)],[c_123081,c_9197,c_32889]) ).
tcf(c_123159,plain,
cons(sk5,app(sk8,app(sk4,sk7))) = app(cons(sk5,app(sk8,sk4)),sk7),
inference(light_normalisation,[status(thm)],[c_123123,c_42874]) ).
tcf(c_123160,plain,
cons(sk5,app(sk7,app(sk4,sk7))) = app(cons(sk5,app(sk7,sk4)),sk7),
inference(light_normalisation,[status(thm)],[c_123122,c_40760]) ).
tcf(c_123161,plain,
cons(sk5,app(sk4,app(sk4,sk7))) = app(cons(sk5,app(sk4,sk4)),sk7),
inference(light_normalisation,[status(thm)],[c_123121,c_37936]) ).
tcf(c_123763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf81(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf81(X1)))
| ~ ssList(skaf82(skaf81(X1)))
| ~ leq(X2,skaf83(skaf81(X1)))
| ~ leq(skaf83(skaf81(X1)),X2)
| ~ ssList(app(app(X0,skaf81(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf81(X1)),skaf82(skaf81(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10987,c_432]) ).
tcf(c_123764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf81(X1)))
| leq(skaf83(skaf81(X1)),X2)
| ( skaf81(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf81(X1)))
| ~ ssList(skaf82(skaf81(X1)))
| ~ ssList(app(app(X0,skaf81(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf81(X1)),skaf82(skaf81(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10987,c_431]) ).
tcf(c_123765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf81(X1)))
| lt(skaf83(skaf81(X1)),X2)
| ( skaf81(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf81(X1)))
| ~ ssList(skaf82(skaf81(X1)))
| ~ ssList(app(app(X0,skaf81(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf81(X1)),skaf82(skaf81(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10987,c_430]) ).
tcf(c_123766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf81(X1)),X2)
| ( skaf81(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf81(X1)))
| ~ ssList(skaf82(skaf81(X1)))
| ~ ssList(app(app(X0,skaf81(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf81(X1)),skaf82(skaf81(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10987,c_429]) ).
tcf(c_123767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf81(X1)),X2)
| ( skaf81(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf81(X1)))
| ~ ssList(skaf82(skaf81(X1)))
| ~ ssList(app(app(X0,skaf81(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf81(X1)),skaf82(skaf81(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10987,c_428]) ).
tcf(c_123768,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf81(X1)))
| ~ ssList(skaf82(skaf81(X1)))
| ~ ssList(app(app(X0,skaf81(X1)),cons(skaf83(skaf81(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf81(X1)),skaf82(skaf81(X1)))),cons(skaf83(skaf81(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10987,c_426]) ).
tcf(c_123769,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf81(X1)),skaf83(skaf81(X1)))
| ( skaf81(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf81(X1)))
| ~ ssList(skaf82(skaf81(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf81(X1)),skaf82(skaf81(X1))))) ),
inference(superposition,[status(thm)],[c_10987,c_422]) ).
tcf(c_123770,plain,
! [X0: $i] :
( memberP(skaf81(X0),skaf83(skaf81(X0)))
| ( skaf81(X0) = nil )
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10987,c_385]) ).
tcf(c_123772,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( skaf82(skaf81(X0)) = nil )
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0)))
| ( skaf81(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10987,c_21847]) ).
tcf(c_123773,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( skaf82(skaf81(X0)) = nil )
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0)))
| ( skaf81(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10987,c_21842]) ).
tcf(c_123774,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( skaf83(skaf81(X0)) = sk5 )
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0)))
| ( skaf81(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10987,c_21750]) ).
tcf(c_123775,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( skaf83(skaf81(X0)) = sk6 )
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0)))
| ( skaf81(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10987,c_21745]) ).
tcf(c_123776,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( skaf83(skaf81(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf81(X0))
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10987,c_21595]) ).
tcf(c_123777,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( skaf83(skaf81(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf81(X0))
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10987,c_21590]) ).
tcf(c_123778,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( skaf83(skaf81(X0)) = sk5 )
| ~ frontsegP(skaf81(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10987,c_21585]) ).
tcf(c_123779,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( skaf83(skaf81(X0)) = sk6 )
| ~ frontsegP(skaf81(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10987,c_21580]) ).
tcf(c_123780,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf81(X0)))
| ( skaf81(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf81(X0))
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10987,c_21202]) ).
tcf(c_123781,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf81(X0)))
| ( skaf81(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf81(X0))
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10987,c_21197]) ).
tcf(c_123784,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X0) = nil )
| ( skaf83(skaf81(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0)))
| ~ frontsegP(skaf81(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10987,c_423]) ).
tcf(c_123785,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf81(X0)),X2)
| ( skaf81(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0)))
| ~ frontsegP(skaf81(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10987,c_421]) ).
tcf(c_123786,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf81(X0)),X1)
| ( skaf81(X0) = nil )
| ( skaf83(skaf81(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0)))
| ~ memberP(skaf81(X0),X1) ),
inference(superposition,[status(thm)],[c_10987,c_408]) ).
tcf(c_123787,plain,
! [X0: $i] :
( leq(skaf83(skaf81(X0)),hd(skaf82(skaf81(X0))))
| ( skaf81(X0) = nil )
| ( skaf82(skaf81(X0)) = nil )
| ~ totalorderedP(skaf81(X0))
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10987,c_382]) ).
tcf(c_123788,plain,
! [X0: $i] :
( lt(skaf83(skaf81(X0)),hd(skaf82(skaf81(X0))))
| ( skaf81(X0) = nil )
| ( skaf82(skaf81(X0)) = nil )
| ~ strictorderedP(skaf81(X0))
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10987,c_381]) ).
tcf(c_123789,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf81(X0)))
| ( skaf81(X0) = nil )
| ( skaf82(skaf81(X0)) = nil )
| ~ totalorderedP(skaf81(X0))
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10987,c_372]) ).
tcf(c_123790,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf81(X0)))
| ( skaf81(X0) = nil )
| ( skaf82(skaf81(X0)) = nil )
| ~ strictorderedP(skaf81(X0))
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0))) ),
inference(superposition,[status(thm)],[c_10987,c_371]) ).
tcf(c_123791,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0)))
| ( skaf82(skaf81(X0)) != skaf81(X0) ) ),
inference(superposition,[status(thm)],[c_10987,c_346]) ).
tcf(c_123793,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf81(X1)),X0),skaf81(X1))
| ( skaf81(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf81(X1)))
| ~ ssList(skaf82(skaf81(X1)))
| ~ frontsegP(X0,skaf82(skaf81(X1))) ),
inference(superposition,[status(thm)],[c_10987,c_425]) ).
tcf(c_123794,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X2) = nil )
| ( skaf83(skaf81(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf81(X2)))
| ~ ssList(skaf82(skaf81(X2)))
| ~ ssList(app(X0,cons(X1,skaf81(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf81(X2)),skaf82(skaf81(X2)))))) ),
inference(superposition,[status(thm)],[c_10987,c_427]) ).
tcf(c_123795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X2) = nil )
| ( skaf82(skaf81(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf81(X2)))
| ~ ssList(skaf82(skaf81(X2)))
| ( cons(X0,X1) != skaf81(X2) ) ),
inference(superposition,[status(thm)],[c_10987,c_418]) ).
tcf(c_123796,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X2) = nil )
| ( skaf83(skaf81(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf81(X2)))
| ~ ssList(skaf82(skaf81(X2)))
| ( cons(X0,X1) != skaf81(X2) ) ),
inference(superposition,[status(thm)],[c_10987,c_417]) ).
tcf(c_123797,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X2) = nil )
| ( skaf83(skaf81(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf81(X2)))
| ~ ssList(skaf82(skaf81(X2)))
| ~ frontsegP(cons(X0,X1),skaf81(X2)) ),
inference(superposition,[status(thm)],[c_10987,c_423]) ).
tcf(c_123798,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf81(X2)))
| ( skaf81(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf81(X2)))
| ~ ssList(skaf82(skaf81(X2)))
| ~ frontsegP(cons(X0,X1),skaf81(X2)) ),
inference(superposition,[status(thm)],[c_10987,c_421]) ).
tcf(c_123799,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf81(X0),cons(skaf83(skaf81(X0)),X1))
| ( skaf81(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0)))
| ~ frontsegP(skaf82(skaf81(X0)),X1) ),
inference(superposition,[status(thm)],[c_10987,c_425]) ).
tcf(c_123800,plain,
! [X0: $i,X1: $i] :
( memberP(skaf81(X0),X1)
| ( skaf81(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf81(X0)))
| ~ ssList(skaf82(skaf81(X0)))
| ~ memberP(skaf82(skaf81(X0)),X1) ),
inference(superposition,[status(thm)],[c_10987,c_386]) ).
tcf(c_123801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf81(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf81(X3)))
| ~ ssList(skaf82(skaf81(X3)))
| ~ leq(X1,skaf83(skaf81(X3)))
| ~ leq(skaf83(skaf81(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf81(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf81(X3)),skaf82(skaf81(X3))))) ),
inference(superposition,[status(thm)],[c_10987,c_432]) ).
tcf(c_123802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf81(X3)))
| leq(skaf83(skaf81(X3)),X1)
| ( skaf81(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf81(X3)))
| ~ ssList(skaf82(skaf81(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf81(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf81(X3)),skaf82(skaf81(X3))))) ),
inference(superposition,[status(thm)],[c_10987,c_431]) ).
tcf(c_123803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf81(X3)))
| lt(skaf83(skaf81(X3)),X1)
| ( skaf81(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf81(X3)))
| ~ ssList(skaf82(skaf81(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf81(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf81(X3)),skaf82(skaf81(X3))))) ),
inference(superposition,[status(thm)],[c_10987,c_430]) ).
tcf(c_123804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf81(X3)))
| ( skaf81(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf81(X3)))
| ~ ssList(skaf82(skaf81(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf81(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf81(X3)),skaf82(skaf81(X3))))) ),
inference(superposition,[status(thm)],[c_10987,c_429]) ).
tcf(c_123805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf81(X3)))
| ( skaf81(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf81(X3)))
| ~ ssList(skaf82(skaf81(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf81(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf81(X3)),skaf82(skaf81(X3))))) ),
inference(superposition,[status(thm)],[c_10987,c_428]) ).
tcf(c_123806,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf81(X1)))
| ~ ssList(skaf82(skaf81(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf81(X1)),X2)),skaf81(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf81(X1)),X2)),cons(skaf83(skaf81(X1)),skaf82(skaf81(X1))))) ),
inference(superposition,[status(thm)],[c_10987,c_426]) ).
tcf(c_123807,plain,
! [X0: $i] :
( memberP(skaf81(X0),skaf83(skaf81(X0)))
| ( skaf81(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123770,c_259,c_260]) ).
tcf(c_123810,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( skaf82(skaf81(X0)) != skaf81(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123791,c_259,c_260]) ).
tcf(c_123813,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf81(X0)))
| ( skaf81(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf81(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123781,c_259,c_260]) ).
tcf(c_123817,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf81(X0)))
| ( skaf81(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf81(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123780,c_259,c_260]) ).
tcf(c_123821,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( skaf83(skaf81(X0)) = sk6 )
| ~ frontsegP(skaf81(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123779,c_259,c_260]) ).
tcf(c_123825,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( skaf83(skaf81(X0)) = sk5 )
| ~ frontsegP(skaf81(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123778,c_259,c_260]) ).
tcf(c_123829,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( skaf83(skaf81(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf81(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123777,c_259,c_260]) ).
tcf(c_123833,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( skaf83(skaf81(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf81(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123776,c_259,c_260]) ).
tcf(c_123837,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( skaf83(skaf81(X0)) = sk6 )
| ( skaf81(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123775,c_259,c_260]) ).
tcf(c_123841,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( skaf83(skaf81(X0)) = sk5 )
| ( skaf81(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123774,c_259,c_260]) ).
tcf(c_123845,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( skaf82(skaf81(X0)) = nil )
| ( skaf81(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123773,c_259,c_260]) ).
tcf(c_123849,plain,
! [X0: $i] :
( ( skaf81(X0) = nil )
| ( skaf82(skaf81(X0)) = nil )
| ( skaf81(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123772,c_259,c_260]) ).
tcf(c_123853,plain,
! [X0: $i,X1: $i] :
( memberP(skaf81(X0),X1)
| ( skaf81(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf81(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123800,c_259,c_260]) ).
tcf(c_123858,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf81(X0)))
| ( skaf81(X0) = nil )
| ( skaf82(skaf81(X0)) = nil )
| ~ strictorderedP(skaf81(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123790,c_259,c_260]) ).
tcf(c_123863,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf81(X0)))
| ( skaf81(X0) = nil )
| ( skaf82(skaf81(X0)) = nil )
| ~ totalorderedP(skaf81(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123789,c_259,c_260]) ).
tcf(c_123868,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf81(X0),cons(skaf83(skaf81(X0)),X1))
| ( skaf81(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf81(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123799,c_259,c_260]) ).
tcf(c_123873,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf81(X1)),X0),skaf81(X1))
| ( skaf81(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf81(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123793,c_259,c_260]) ).
tcf(c_123878,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf81(X2)))
| ( skaf81(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf81(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123798,c_259,c_260]) ).
tcf(c_123884,plain,
! [X0: $i] :
( lt(skaf83(skaf81(X0)),hd(skaf82(skaf81(X0))))
| ( skaf81(X0) = nil )
| ( skaf82(skaf81(X0)) = nil )
| ~ strictorderedP(skaf81(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123788,c_259,c_260]) ).
tcf(c_123889,plain,
! [X0: $i] :
( leq(skaf83(skaf81(X0)),hd(skaf82(skaf81(X0))))
| ( skaf81(X0) = nil )
| ( skaf82(skaf81(X0)) = nil )
| ~ totalorderedP(skaf81(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123787,c_259,c_260]) ).
tcf(c_123894,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf81(X0)),X2)
| ( skaf81(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf81(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123785,c_259,c_260]) ).
tcf(c_123900,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X2) = nil )
| ( skaf83(skaf81(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf81(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123797,c_259,c_260]) ).
tcf(c_123906,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf81(X0)),X1)
| ( skaf81(X0) = nil )
| ( skaf83(skaf81(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf81(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123786,c_259,c_260]) ).
tcf(c_123912,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X0) = nil )
| ( skaf83(skaf81(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf81(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123784,c_259,c_260]) ).
tcf(c_123918,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X2) = nil )
| ( skaf83(skaf81(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf81(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123796,c_259,c_260]) ).
tcf(c_123924,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X2) = nil )
| ( skaf82(skaf81(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf81(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123795,c_259,c_260]) ).
tcf(c_123930,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf81(X1)),skaf83(skaf81(X1)))
| ( skaf81(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf81(X1)),skaf82(skaf81(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123769,c_259,c_260]) ).
tcf(c_123935,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X2) = nil )
| ( skaf83(skaf81(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf81(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf81(X2)),skaf82(skaf81(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123794,c_259,c_260]) ).
tcf(c_123942,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf81(X1)),X2)),skaf81(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf81(X1)),X2)),cons(skaf83(skaf81(X1)),skaf82(skaf81(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123806,c_259,c_260]) ).
tcf(c_123948,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf81(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf81(X1)),cons(skaf83(skaf81(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf81(X1)),skaf82(skaf81(X1)))),cons(skaf83(skaf81(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123768,c_259,c_260]) ).
tcf(c_123954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf81(X3)))
| ( skaf81(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf81(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf81(X3)),skaf82(skaf81(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123805,c_259,c_260]) ).
tcf(c_123962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf81(X3)))
| ( skaf81(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf81(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf81(X3)),skaf82(skaf81(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123804,c_259,c_260]) ).
tcf(c_123970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf81(X1)),X2)
| ( skaf81(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf81(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf81(X1)),skaf82(skaf81(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123767,c_259,c_260]) ).
tcf(c_123978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf81(X1)),X2)
| ( skaf81(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf81(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf81(X1)),skaf82(skaf81(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123766,c_259,c_260]) ).
tcf(c_123986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf81(X3)))
| lt(skaf83(skaf81(X3)),X1)
| ( skaf81(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf81(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf81(X3)),skaf82(skaf81(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123803,c_259,c_260]) ).
tcf(c_123995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf81(X3)))
| leq(skaf83(skaf81(X3)),X1)
| ( skaf81(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf81(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf81(X3)),skaf82(skaf81(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123802,c_259,c_260]) ).
tcf(c_124004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf81(X1)))
| lt(skaf83(skaf81(X1)),X2)
| ( skaf81(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf81(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf81(X1)),skaf82(skaf81(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123765,c_259,c_260]) ).
tcf(c_124013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf81(X1)))
| leq(skaf83(skaf81(X1)),X2)
| ( skaf81(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf81(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf81(X1)),skaf82(skaf81(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123764,c_259,c_260]) ).
tcf(c_124022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf81(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf81(X3)))
| ~ leq(skaf83(skaf81(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf81(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf81(X3)),skaf82(skaf81(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123801,c_259,c_260]) ).
tcf(c_124031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf81(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf81(X1)))
| ~ leq(skaf83(skaf81(X1)),X2)
| ~ ssList(app(app(X0,skaf81(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf81(X1)),skaf82(skaf81(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123763,c_259,c_260]) ).
tcf(c_124147,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_112799,c_122728]) ).
tcf(c_124148,plain,
frontsegP(app(sk8,app(sk4,sk4)),sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_124147,c_112801]) ).
tcf(c_124153,plain,
hd(app(iPr_def_12,sk4)) = sk5,
inference(superposition,[status(thm)],[c_6486,c_11944]) ).
tcf(c_124154,plain,
hd(app(iPr_def_12,sk7)) = sk5,
inference(superposition,[status(thm)],[c_6483,c_11944]) ).
tcf(c_124155,plain,
hd(app(iPr_def_12,sk8)) = sk5,
inference(superposition,[status(thm)],[c_6482,c_11944]) ).
tcf(c_124156,plain,
hd(app(iPr_def_12,nil)) = sk5,
inference(superposition,[status(thm)],[c_255,c_11944]) ).
tcf(c_124157,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf82(X0))) = sk5,
inference(superposition,[status(thm)],[c_260,c_11944]) ).
tcf(c_124158,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf81(X0))) = sk5,
inference(superposition,[status(thm)],[c_261,c_11944]) ).
tcf(c_124159,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf80(X0))) = sk5,
inference(superposition,[status(thm)],[c_262,c_11944]) ).
tcf(c_124160,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf77(X0))) = sk5,
inference(superposition,[status(thm)],[c_265,c_11944]) ).
tcf(c_124161,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf76(X0))) = sk5,
inference(superposition,[status(thm)],[c_266,c_11944]) ).
tcf(c_124162,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf75(X0))) = sk5,
inference(superposition,[status(thm)],[c_267,c_11944]) ).
tcf(c_124163,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf73(X0))) = sk5,
inference(superposition,[status(thm)],[c_269,c_11944]) ).
tcf(c_124164,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf72(X0))) = sk5,
inference(superposition,[status(thm)],[c_270,c_11944]) ).
tcf(c_124165,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf71(X0))) = sk5,
inference(superposition,[status(thm)],[c_271,c_11944]) ).
tcf(c_124166,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf68(X0))) = sk5,
inference(superposition,[status(thm)],[c_274,c_11944]) ).
tcf(c_124167,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf67(X0))) = sk5,
inference(superposition,[status(thm)],[c_275,c_11944]) ).
tcf(c_124168,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf66(X0))) = sk5,
inference(superposition,[status(thm)],[c_276,c_11944]) ).
tcf(c_124169,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf63(X0))) = sk5,
inference(superposition,[status(thm)],[c_279,c_11944]) ).
tcf(c_124170,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf62(X0))) = sk5,
inference(superposition,[status(thm)],[c_280,c_11944]) ).
tcf(c_124171,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf61(X0))) = sk5,
inference(superposition,[status(thm)],[c_281,c_11944]) ).
tcf(c_124172,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf58(X0))) = sk5,
inference(superposition,[status(thm)],[c_284,c_11944]) ).
tcf(c_124173,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf57(X0))) = sk5,
inference(superposition,[status(thm)],[c_285,c_11944]) ).
tcf(c_124174,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf56(X0))) = sk5,
inference(superposition,[status(thm)],[c_286,c_11944]) ).
tcf(c_124175,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf53(X0))) = sk5,
inference(superposition,[status(thm)],[c_289,c_11944]) ).
tcf(c_124176,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf52(X0))) = sk5,
inference(superposition,[status(thm)],[c_290,c_11944]) ).
tcf(c_124177,plain,
! [X0: $i] : hd(app(iPr_def_12,skaf51(X0))) = sk5,
inference(superposition,[status(thm)],[c_291,c_11944]) ).
tcf(c_124178,plain,
! [X0: $i,X1: $i] : hd(app(iPr_def_12,skaf48(X0,X1))) = sk5,
inference(superposition,[status(thm)],[c_295,c_11944]) ).
tcf(c_124179,plain,
! [X0: $i,X1: $i] : hd(app(iPr_def_12,skaf47(X0,X1))) = sk5,
inference(superposition,[status(thm)],[c_296,c_11944]) ).
tcf(c_124180,plain,
! [X0: $i,X1: $i] : hd(app(iPr_def_12,skaf46(X0,X1))) = sk5,
inference(superposition,[status(thm)],[c_297,c_11944]) ).
tcf(c_124181,plain,
! [X0: $i,X1: $i] : hd(app(iPr_def_12,skaf45(X0,X1))) = sk5,
inference(superposition,[status(thm)],[c_298,c_11944]) ).
tcf(c_124182,plain,
! [X0: $i,X1: $i] : hd(app(iPr_def_12,skaf43(X0,X1))) = sk5,
inference(superposition,[status(thm)],[c_299,c_11944]) ).
tcf(c_124183,plain,
! [X0: $i,X1: $i] : hd(app(iPr_def_12,skaf42(X0,X1))) = sk5,
inference(superposition,[status(thm)],[c_300,c_11944]) ).
tcf(c_124184,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_12,tl(X0))) = sk5 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_11944]) ).
tcf(c_124185,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_12,app(X1,X0))) = sk5 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_11944]) ).
tcf(c_124186,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_12,cons(X1,X0))) = sk5 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_11944]) ).
tcf(c_124187,plain,
hd(app(iPr_def_12,iPr_def_16)) = sk5,
inference(superposition,[status(thm)],[c_9020,c_11944]) ).
tcf(c_124188,plain,
hd(app(iPr_def_12,iPr_def_13)) = sk5,
inference(superposition,[status(thm)],[c_9527,c_11944]) ).
tcf(c_124189,plain,
hd(app(iPr_def_12,iPr_def_12)) = sk5,
inference(superposition,[status(thm)],[c_9489,c_11944]) ).
tcf(c_124190,plain,
hd(app(iPr_def_12,iPr_def_15)) = sk5,
inference(superposition,[status(thm)],[c_24748,c_11944]) ).
tcf(c_124191,plain,
hd(app(iPr_def_12,iPr_def_14)) = sk5,
inference(superposition,[status(thm)],[c_9488,c_11944]) ).
tcf(c_124192,plain,
hd(app(iPr_def_12,cons(sk5,sk4))) = sk5,
inference(superposition,[status(thm)],[c_66402,c_11944]) ).
tcf(c_124193,plain,
hd(app(iPr_def_12,cons(sk6,sk4))) = sk5,
inference(superposition,[status(thm)],[c_28942,c_11944]) ).
tcf(c_124194,plain,
hd(app(iPr_def_12,cons(sk6,sk7))) = sk5,
inference(superposition,[status(thm)],[c_28940,c_11944]) ).
tcf(c_124195,plain,
hd(app(iPr_def_12,cons(sk6,sk8))) = sk5,
inference(superposition,[status(thm)],[c_28938,c_11944]) ).
tcf(c_124196,plain,
hd(app(iPr_def_12,app(sk4,sk4))) = sk5,
inference(superposition,[status(thm)],[c_79152,c_11944]) ).
tcf(c_124197,plain,
hd(app(iPr_def_12,app(sk7,sk4))) = sk5,
inference(superposition,[status(thm)],[c_89458,c_11944]) ).
tcf(c_124198,plain,
hd(app(iPr_def_12,app(sk8,sk4))) = sk5,
inference(superposition,[status(thm)],[c_112727,c_11944]) ).
tcf(c_124199,plain,
hd(app(iPr_def_12,app(sk4,app(sk4,sk4)))) = sk5,
inference(superposition,[status(thm)],[c_79226,c_11944]) ).
tcf(c_124200,plain,
hd(app(iPr_def_12,app(sk4,app(sk4,sk7)))) = sk5,
inference(superposition,[status(thm)],[c_79223,c_11944]) ).
tcf(c_124201,plain,
hd(app(iPr_def_12,app(sk4,app(sk4,sk8)))) = sk5,
inference(superposition,[status(thm)],[c_79220,c_11944]) ).
tcf(c_124202,plain,
hd(app(iPr_def_12,app(sk7,app(sk4,sk4)))) = sk5,
inference(superposition,[status(thm)],[c_89541,c_11944]) ).
tcf(c_124203,plain,
hd(app(iPr_def_12,app(sk7,app(sk4,sk7)))) = sk5,
inference(superposition,[status(thm)],[c_89538,c_11944]) ).
tcf(c_124204,plain,
hd(app(iPr_def_12,app(sk7,app(sk4,sk8)))) = sk5,
inference(superposition,[status(thm)],[c_89535,c_11944]) ).
tcf(c_124205,plain,
hd(app(iPr_def_12,app(sk8,app(sk4,sk4)))) = sk5,
inference(superposition,[status(thm)],[c_112801,c_11944]) ).
tcf(c_124206,plain,
hd(app(iPr_def_12,app(sk8,app(sk4,sk7)))) = sk5,
inference(superposition,[status(thm)],[c_112798,c_11944]) ).
tcf(c_124207,plain,
hd(app(iPr_def_12,app(sk8,app(sk4,sk8)))) = sk5,
inference(superposition,[status(thm)],[c_112795,c_11944]) ).
tcf(c_124208,plain,
( ( hd(app(iPr_def_12,app(sk4,app(sk7,sk4)))) = sk5 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_11944]) ).
tcf(c_124209,plain,
( ( hd(app(iPr_def_12,app(sk4,app(sk7,sk7)))) = sk5 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_11944]) ).
tcf(c_124210,plain,
( ( hd(app(iPr_def_12,app(sk4,app(sk7,sk8)))) = sk5 )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_11944]) ).
tcf(c_124211,plain,
( ( hd(app(iPr_def_12,app(sk7,app(sk7,sk4)))) = sk5 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_11944]) ).
tcf(c_124212,plain,
( ( hd(app(iPr_def_12,app(sk7,app(sk7,sk7)))) = sk5 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_11944]) ).
tcf(c_124213,plain,
( ( hd(app(iPr_def_12,app(sk7,app(sk7,sk8)))) = sk5 )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_11944]) ).
tcf(c_124214,plain,
( ( hd(app(iPr_def_12,app(sk8,app(sk7,sk4)))) = sk5 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_11944]) ).
tcf(c_124215,plain,
( ( hd(app(iPr_def_12,app(sk8,app(sk7,sk7)))) = sk5 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_11944]) ).
tcf(c_124216,plain,
( ( hd(app(iPr_def_12,app(sk8,app(sk7,sk8)))) = sk5 )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_11944]) ).
tcf(c_124217,plain,
( ( hd(app(iPr_def_12,app(sk4,app(sk8,sk4)))) = sk5 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_11944]) ).
tcf(c_124218,plain,
( ( hd(app(iPr_def_12,app(sk4,app(sk8,sk7)))) = sk5 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_11944]) ).
tcf(c_124219,plain,
( ( hd(app(iPr_def_12,app(sk4,app(sk8,sk8)))) = sk5 )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_11944]) ).
tcf(c_124220,plain,
( ( hd(app(iPr_def_12,app(sk7,app(sk8,sk4)))) = sk5 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_11944]) ).
tcf(c_124221,plain,
( ( hd(app(iPr_def_12,app(sk7,app(sk8,sk7)))) = sk5 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_11944]) ).
tcf(c_124222,plain,
( ( hd(app(iPr_def_12,app(sk7,app(sk8,sk8)))) = sk5 )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_11944]) ).
tcf(c_124223,plain,
( ( hd(app(iPr_def_12,app(sk8,app(sk8,sk4)))) = sk5 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_11944]) ).
tcf(c_124224,plain,
( ( hd(app(iPr_def_12,app(sk8,app(sk8,sk7)))) = sk5 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_11944]) ).
tcf(c_124225,plain,
( ( hd(app(iPr_def_12,app(sk8,app(sk8,sk8)))) = sk5 )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_11944]) ).
tcf(c_124226,plain,
hd(app(iPr_def_12,cons(sk5,app(sk4,sk4)))) = sk5,
inference(superposition,[status(thm)],[c_66447,c_11944]) ).
tcf(c_124227,plain,
( ( hd(app(iPr_def_12,cons(sk5,app(sk7,sk4)))) = sk5 )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_65651,c_11944]) ).
tcf(c_124228,plain,
( ( hd(app(iPr_def_12,cons(sk5,app(sk8,sk4)))) = sk5 )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_11944]) ).
tcf(c_124229,plain,
hd(app(iPr_def_12,cons(sk6,app(sk4,sk4)))) = sk5,
inference(superposition,[status(thm)],[c_68222,c_11944]) ).
tcf(c_124230,plain,
hd(app(iPr_def_12,cons(sk6,app(sk7,sk4)))) = sk5,
inference(superposition,[status(thm)],[c_68529,c_11944]) ).
tcf(c_124231,plain,
hd(app(iPr_def_12,cons(sk6,app(sk8,sk4)))) = sk5,
inference(superposition,[status(thm)],[c_68959,c_11944]) ).
tcf(c_124599,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_12,sk8)))
| ( app(iPr_def_12,sk8) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(app(iPr_def_12,sk8))
| ~ ssList(app(iPr_def_12,sk8)) ),
inference(superposition,[status(thm)],[c_124155,c_407]) ).
tcf(c_124600,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_12,sk8)))
| ( app(iPr_def_12,sk8) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(app(iPr_def_12,sk8))
| ~ ssList(app(iPr_def_12,sk8)) ),
inference(superposition,[status(thm)],[c_124155,c_406]) ).
tcf(c_124681,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_12,iPr_def_16)))
| ( app(iPr_def_12,iPr_def_16) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(app(iPr_def_12,iPr_def_16))
| ~ ssList(app(iPr_def_12,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_124187,c_407]) ).
tcf(c_124682,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_12,iPr_def_16)))
| ( app(iPr_def_12,iPr_def_16) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(app(iPr_def_12,iPr_def_16))
| ~ ssList(app(iPr_def_12,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_124187,c_406]) ).
tcf(c_124698,plain,
! [X0: $i] :
( frontsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_122758,c_401]) ).
tcf(c_124699,plain,
( ( app(sk8,skaf45(app(sk8,app(sk4,sk8)),sk8)) = app(sk8,app(sk4,sk8)) )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_122758,c_379]) ).
tcf(c_124700,plain,
( ( app(sk8,app(sk4,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ frontsegP(sk8,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_122758,c_376]) ).
tcf(c_124701,plain,
! [X0: $i] :
( frontsegP(X0,sk8)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124698,c_6482,c_112795]) ).
tcf(c_124705,plain,
( ( app(sk8,app(sk4,sk8)) = sk8 )
| ~ frontsegP(sk8,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124700,c_6482,c_112795]) ).
tcf(c_124708,plain,
app(sk8,skaf45(app(sk8,app(sk4,sk8)),sk8)) = app(sk8,app(sk4,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_124699,c_6482,c_112795]) ).
tcf(c_124710,plain,
! [X0: $i] :
( frontsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_122759,c_401]) ).
tcf(c_124711,plain,
( ( app(sk8,skaf45(app(sk8,app(sk4,sk7)),sk8)) = app(sk8,app(sk4,sk7)) )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_122759,c_379]) ).
tcf(c_124712,plain,
( ( app(sk8,app(sk4,sk7)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ frontsegP(sk8,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_122759,c_376]) ).
tcf(c_124713,plain,
! [X0: $i] :
( frontsegP(X0,sk8)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124710,c_6482,c_112798]) ).
tcf(c_124717,plain,
( ( app(sk8,app(sk4,sk7)) = sk8 )
| ~ frontsegP(sk8,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124712,c_6482,c_112798]) ).
tcf(c_124720,plain,
app(sk8,skaf45(app(sk8,app(sk4,sk7)),sk8)) = app(sk8,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_124711,c_6482,c_112798]) ).
tcf(c_124722,plain,
! [X0: $i] :
( frontsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_124148,c_401]) ).
tcf(c_124723,plain,
( ( app(sk8,skaf45(app(sk8,app(sk4,sk4)),sk8)) = app(sk8,app(sk4,sk4)) )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_124148,c_379]) ).
tcf(c_124724,plain,
( ( app(sk8,app(sk4,sk4)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ frontsegP(sk8,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_124148,c_376]) ).
tcf(c_124725,plain,
! [X0: $i] :
( frontsegP(X0,sk8)
| ~ ssList(X0)
| ~ frontsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124722,c_6482,c_112801]) ).
tcf(c_124729,plain,
( ( app(sk8,app(sk4,sk4)) = sk8 )
| ~ frontsegP(sk8,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124724,c_6482,c_112801]) ).
tcf(c_124732,plain,
app(sk8,skaf45(app(sk8,app(sk4,sk4)),sk8)) = app(sk8,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_124723,c_6482,c_112801]) ).
tcf(c_124734,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_12,iPr_def_13)))
| ( app(iPr_def_12,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(app(iPr_def_12,iPr_def_13))
| ~ ssList(app(iPr_def_12,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_124188,c_407]) ).
tcf(c_124735,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_12,iPr_def_13)))
| ( app(iPr_def_12,iPr_def_13) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(app(iPr_def_12,iPr_def_13))
| ~ ssList(app(iPr_def_12,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_124188,c_406]) ).
tcf(c_124752,plain,
( ssList(cons(sk5,app(sk4,sk7)))
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_123078,c_332]) ).
tcf(c_124753,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(app(cons(sk5,sk4),sk7),X0)) ),
inference(superposition,[status(thm)],[c_123078,c_420]) ).
tcf(c_124754,plain,
! [X0: $i] :
( ( cons(sk5,sk4) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ( cons(sk5,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_123078,c_398]) ).
tcf(c_124756,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(cons(sk5,sk4),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk4))
| ~ memberP(cons(sk5,app(sk4,sk7)),X0) ),
inference(superposition,[status(thm)],[c_123078,c_405]) ).
tcf(c_124757,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk4))
| ( cons(sk5,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_123078,c_366]) ).
tcf(c_124758,plain,
( ( cons(sk5,sk4) = nil )
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk4))
| ( cons(sk5,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_123078,c_365]) ).
tcf(c_124759,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),cons(sk5,sk4))
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_123078,c_808]) ).
tcf(c_124760,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_123078,c_807]) ).
tcf(c_124761,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_123078,c_388]) ).
tcf(c_124762,plain,
! [X0: $i] :
( rearsegP(cons(sk5,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_123078,c_383]) ).
tcf(c_124763,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ( app(cons(sk5,sk4),X0) != cons(sk5,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_123078,c_397]) ).
tcf(c_124764,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk4))
| ~ memberP(cons(sk5,sk4),X0) ),
inference(superposition,[status(thm)],[c_123078,c_387]) ).
tcf(c_124765,plain,
! [X0: $i] :
( frontsegP(cons(sk5,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(cons(sk5,sk4),X0) ),
inference(superposition,[status(thm)],[c_123078,c_384]) ).
tcf(c_124766,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,app(sk4,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_123078,c_419]) ).
tcf(c_124767,plain,
( ( cons(sk5,sk4) = iPr_def_14 )
| ~ ssList(cons(sk5,sk4))
| ( cons(sk5,app(sk4,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_123078,c_51335]) ).
tcf(c_124768,plain,
( ( cons(sk5,sk4) = nil )
| ~ ssList(cons(sk5,sk4))
| ( cons(sk5,app(sk4,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_123078,c_17625]) ).
tcf(c_124769,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk4)
| ~ ssList(sk7)
| ~ ssList(app(cons(sk5,sk4),sk7)) ),
inference(superposition,[status(thm)],[c_123078,c_66443]) ).
tcf(c_124770,plain,
! [X0: $i] :
( segmentP(cons(sk5,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_123078,c_66437]) ).
tcf(c_124771,plain,
ssList(cons(sk5,app(sk4,sk7))),
inference(forward_subsumption_resolution,[status(thm)],[c_124752,c_6483,c_66402]) ).
tcf(c_124772,plain,
rearsegP(cons(sk5,app(sk4,sk7)),sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_124760,c_6483,c_66402]) ).
tcf(c_124773,plain,
! [X0: $i] :
( segmentP(cons(sk5,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124770,c_6483]) ).
tcf(c_124777,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk4)
| ~ ssList(sk7)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(light_normalisation,[status(thm)],[c_124769,c_123078]) ).
tcf(c_124778,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk4)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124777,c_6483]) ).
tcf(c_124781,plain,
frontsegP(cons(sk5,app(sk4,sk7)),cons(sk5,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_124759,c_6483,c_66402]) ).
tcf(c_124782,plain,
cons(sk5,app(sk4,sk7)) != sk7,
inference(forward_subsumption_resolution,[status(thm)],[c_124768,c_66407,c_66402]) ).
tcf(c_124786,plain,
( ( cons(sk5,sk4) = iPr_def_14 )
| ( cons(sk5,app(sk4,sk7)) != cons(sk6,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124767,c_66402]) ).
tcf(c_124789,plain,
! [X0: $i] :
( rearsegP(cons(sk5,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124762,c_6483,c_66402]) ).
tcf(c_124793,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124761,c_6483,c_66402]) ).
tcf(c_124797,plain,
cons(sk5,app(sk4,sk7)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_124758,c_66407,c_6483,c_66402]) ).
tcf(c_124798,plain,
! [X0: $i] :
( frontsegP(cons(sk5,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sk5,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124765,c_6483,c_66402]) ).
tcf(c_124802,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk5,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124764,c_6483,c_66402]) ).
tcf(c_124806,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,app(sk4,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124766,c_6483,c_66402]) ).
tcf(c_124811,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(cons(sk5,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk5,app(sk4,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124756,c_6483,c_66402]) ).
tcf(c_124816,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(cons(sk5,sk4),X0) != cons(sk5,app(sk4,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124763,c_6483,c_66402]) ).
tcf(c_124820,plain,
! [X0: $i] :
( ( cons(sk5,sk4) = X0 )
| ~ ssList(X0)
| ( cons(sk5,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124754,c_6483,c_66402]) ).
tcf(c_124824,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(cons(sk5,app(sk4,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_124753,c_123078]) ).
tcf(c_124825,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk4,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,app(sk4,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124824,c_6483,c_66402]) ).
tcf(c_124938,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk4,sk7)),sk8),X0) = app(cons(sk5,app(sk4,sk7)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_124771,c_16217]) ).
tcf(c_124939,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk4,sk7)),sk7),X0) = app(cons(sk5,app(sk4,sk7)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_124771,c_16216]) ).
tcf(c_124940,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk4,sk7)),sk4),X0) = app(cons(sk5,app(sk4,sk7)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_124771,c_16215]) ).
tcf(c_124941,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk5,app(sk4,sk7)))) = app(cons(X1,X0),cons(sk5,app(sk4,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_124771,c_404]) ).
tcf(c_124942,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk5,app(sk4,sk7))),X0) = app(X1,app(cons(sk5,app(sk4,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_124771,c_396]) ).
tcf(c_124943,plain,
! [X0: $i] :
( ( cons(sk5,app(sk4,sk7)) = nil )
| ( app(tl(cons(sk5,app(sk4,sk7))),X0) = tl(app(cons(sk5,app(sk4,sk7)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_124771,c_380]) ).
tcf(c_124944,plain,
! [X0: $i] :
( ( cons(sk5,app(sk4,sk7)) = nil )
| ( hd(app(cons(sk5,app(sk4,sk7)),X0)) = hd(cons(sk5,app(sk4,sk7))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_124771,c_370]) ).
tcf(c_124945,plain,
hd(app(iPr_def_12,cons(sk5,app(sk4,sk7)))) = sk5,
inference(superposition,[status(thm)],[c_124771,c_11944]) ).
tcf(c_124946,plain,
cons(sk5,app(cons(sk5,app(sk4,sk7)),sk7)) = app(cons(sk5,cons(sk5,app(sk4,sk7))),sk7),
inference(superposition,[status(thm)],[c_124771,c_122889]) ).
tcf(c_124947,plain,
hd(app(iPr_def_14,cons(sk5,app(sk4,sk7)))) = sk6,
inference(superposition,[status(thm)],[c_124771,c_11940]) ).
tcf(c_124948,plain,
hd(cons(skac2,cons(sk5,app(sk4,sk7)))) = skac2,
inference(superposition,[status(thm)],[c_124771,c_10021]) ).
tcf(c_124949,plain,
hd(cons(skac3,cons(sk5,app(sk4,sk7)))) = skac3,
inference(superposition,[status(thm)],[c_124771,c_10020]) ).
tcf(c_124950,plain,
tl(cons(skac2,cons(sk5,app(sk4,sk7)))) = cons(sk5,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_124771,c_9891]) ).
tcf(c_124951,plain,
cons(sk6,app(cons(sk5,app(sk4,sk7)),sk4)) = app(cons(sk6,cons(sk5,app(sk4,sk7))),sk4),
inference(superposition,[status(thm)],[c_124771,c_64778]) ).
tcf(c_124952,plain,
cons(sk5,app(cons(sk5,app(sk4,sk7)),sk4)) = app(cons(sk5,cons(sk5,app(sk4,sk7))),sk4),
inference(superposition,[status(thm)],[c_124771,c_64777]) ).
tcf(c_124953,plain,
tl(cons(skac3,cons(sk5,app(sk4,sk7)))) = cons(sk5,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_124771,c_9890]) ).
tcf(c_124954,plain,
app(app(sk8,sk8),cons(sk5,app(sk4,sk7))) = app(sk8,app(sk8,cons(sk5,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_124771,c_56349]) ).
tcf(c_124955,plain,
app(app(sk7,sk8),cons(sk5,app(sk4,sk7))) = app(sk7,app(sk8,cons(sk5,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_124771,c_56348]) ).
tcf(c_124956,plain,
app(app(sk4,sk8),cons(sk5,app(sk4,sk7))) = app(sk4,app(sk8,cons(sk5,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_124771,c_56347]) ).
tcf(c_124957,plain,
app(app(sk8,sk7),cons(sk5,app(sk4,sk7))) = app(sk8,app(sk7,cons(sk5,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_124771,c_45540]) ).
tcf(c_124958,plain,
app(app(sk7,sk7),cons(sk5,app(sk4,sk7))) = app(sk7,app(sk7,cons(sk5,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_124771,c_45539]) ).
tcf(c_124959,plain,
app(app(sk4,sk7),cons(sk5,app(sk4,sk7))) = app(sk4,app(sk7,cons(sk5,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_124771,c_45538]) ).
tcf(c_124960,plain,
app(app(sk8,sk4),cons(sk5,app(sk4,sk7))) = app(sk8,app(sk4,cons(sk5,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_124771,c_37633]) ).
tcf(c_124961,plain,
app(app(sk7,sk4),cons(sk5,app(sk4,sk7))) = app(sk7,app(sk4,cons(sk5,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_124771,c_37632]) ).
tcf(c_124962,plain,
app(app(sk4,sk4),cons(sk5,app(sk4,sk7))) = app(sk4,app(sk4,cons(sk5,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_124771,c_37631]) ).
tcf(c_124963,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk5,app(sk4,sk7))) = tl(app(sk8,cons(sk5,app(sk4,sk7)))) ) ),
inference(superposition,[status(thm)],[c_124771,c_14611]) ).
tcf(c_124964,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk5,app(sk4,sk7))) = tl(app(sk7,cons(sk5,app(sk4,sk7)))) ) ),
inference(superposition,[status(thm)],[c_124771,c_14610]) ).
tcf(c_124965,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk5,app(sk4,sk7))) = tl(app(sk4,cons(sk5,app(sk4,sk7)))) ) ),
inference(superposition,[status(thm)],[c_124771,c_14609]) ).
tcf(c_124966,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk5,app(sk4,sk7)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_124771,c_11903]) ).
tcf(c_124967,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk5,app(sk4,sk7)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_124771,c_11902]) ).
tcf(c_124968,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk5,app(sk4,sk7)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_124771,c_11901]) ).
tcf(c_124969,plain,
( cyclefreeP(cons(sk5,app(sk4,sk7)))
| ( app(app(skaf51(cons(sk5,app(sk4,sk7))),cons(skaf49(cons(sk5,app(sk4,sk7))),skaf52(cons(sk5,app(sk4,sk7))))),cons(skaf50(cons(sk5,app(sk4,sk7))),skaf53(cons(sk5,app(sk4,sk7))))) = cons(sk5,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_124771,c_414]) ).
tcf(c_124970,plain,
( totalorderP(cons(sk5,app(sk4,sk7)))
| ( app(app(skaf56(cons(sk5,app(sk4,sk7))),cons(skaf54(cons(sk5,app(sk4,sk7))),skaf57(cons(sk5,app(sk4,sk7))))),cons(skaf55(cons(sk5,app(sk4,sk7))),skaf58(cons(sk5,app(sk4,sk7))))) = cons(sk5,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_124771,c_413]) ).
tcf(c_124971,plain,
( strictorderP(cons(sk5,app(sk4,sk7)))
| ( app(app(skaf61(cons(sk5,app(sk4,sk7))),cons(skaf59(cons(sk5,app(sk4,sk7))),skaf62(cons(sk5,app(sk4,sk7))))),cons(skaf60(cons(sk5,app(sk4,sk7))),skaf63(cons(sk5,app(sk4,sk7))))) = cons(sk5,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_124771,c_412]) ).
tcf(c_124972,plain,
( totalorderedP(cons(sk5,app(sk4,sk7)))
| ( app(app(skaf66(cons(sk5,app(sk4,sk7))),cons(skaf64(cons(sk5,app(sk4,sk7))),skaf67(cons(sk5,app(sk4,sk7))))),cons(skaf65(cons(sk5,app(sk4,sk7))),skaf68(cons(sk5,app(sk4,sk7))))) = cons(sk5,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_124771,c_411]) ).
tcf(c_124973,plain,
( strictorderedP(cons(sk5,app(sk4,sk7)))
| ( app(app(skaf71(cons(sk5,app(sk4,sk7))),cons(skaf69(cons(sk5,app(sk4,sk7))),skaf72(cons(sk5,app(sk4,sk7))))),cons(skaf70(cons(sk5,app(sk4,sk7))),skaf73(cons(sk5,app(sk4,sk7))))) = cons(sk5,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_124771,c_410]) ).
tcf(c_124974,plain,
( duplicatefreeP(cons(sk5,app(sk4,sk7)))
| ( app(app(skaf75(cons(sk5,app(sk4,sk7))),cons(skaf74(cons(sk5,app(sk4,sk7))),skaf76(cons(sk5,app(sk4,sk7))))),cons(skaf74(cons(sk5,app(sk4,sk7))),skaf77(cons(sk5,app(sk4,sk7))))) = cons(sk5,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_124771,c_409]) ).
tcf(c_124975,plain,
( equalelemsP(cons(sk5,app(sk4,sk7)))
| ( app(skaf80(cons(sk5,app(sk4,sk7))),cons(skaf78(cons(sk5,app(sk4,sk7))),cons(skaf79(cons(sk5,app(sk4,sk7))),skaf81(cons(sk5,app(sk4,sk7)))))) = cons(sk5,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_124771,c_389]) ).
tcf(c_124976,plain,
hd(cons(sk6,cons(sk5,app(sk4,sk7)))) = sk6,
inference(superposition,[status(thm)],[c_124771,c_10017]) ).
tcf(c_124977,plain,
( ( cons(sk5,app(sk4,sk7)) = nil )
| ( cons(skaf83(cons(sk5,app(sk4,sk7))),skaf82(cons(sk5,app(sk4,sk7)))) = cons(sk5,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_124771,c_356]) ).
tcf(c_124978,plain,
( ( cons(sk5,app(sk4,sk7)) = nil )
| ( cons(hd(cons(sk5,app(sk4,sk7))),tl(cons(sk5,app(sk4,sk7)))) = cons(sk5,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_124771,c_351]) ).
tcf(c_124979,plain,
hd(cons(sk5,cons(sk5,app(sk4,sk7)))) = sk5,
inference(superposition,[status(thm)],[c_124771,c_10016]) ).
tcf(c_124980,plain,
tl(cons(sk6,cons(sk5,app(sk4,sk7)))) = cons(sk5,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_124771,c_9887]) ).
tcf(c_124981,plain,
tl(cons(sk5,cons(sk5,app(sk4,sk7)))) = cons(sk5,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_124771,c_9886]) ).
tcf(c_124982,plain,
( duplicatefreeP(cons(sk5,app(sk4,sk7)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_124771,c_6471]) ).
tcf(c_124983,plain,
app(nil,cons(sk5,app(sk4,sk7))) = cons(sk5,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_124771,c_321]) ).
tcf(c_124984,plain,
app(cons(sk5,app(sk4,sk7)),nil) = cons(sk5,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_124771,c_320]) ).
tcf(c_125358,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(X0,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124772,c_400]) ).
tcf(c_125359,plain,
( ( app(skaf46(cons(sk5,app(sk4,sk7)),sk7),sk7) = cons(sk5,app(sk4,sk7)) )
| ~ ssList(sk7)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124772,c_378]) ).
tcf(c_125360,plain,
( ( cons(sk5,app(sk4,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124772,c_375]) ).
tcf(c_125361,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125358,c_6483,c_124771]) ).
tcf(c_125365,plain,
( ( cons(sk5,app(sk4,sk7)) = sk7 )
| ~ rearsegP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125360,c_6483,c_124771]) ).
tcf(c_125368,plain,
app(skaf46(cons(sk5,app(sk4,sk7)),sk7),sk7) = cons(sk5,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_125359,c_6483,c_124771]) ).
tcf(c_125370,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk5,sk4))
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(X0,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124781,c_401]) ).
tcf(c_125371,plain,
( ( app(cons(sk5,sk4),skaf45(cons(sk5,app(sk4,sk7)),cons(sk5,sk4))) = cons(sk5,app(sk4,sk7)) )
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124781,c_379]) ).
tcf(c_125372,plain,
( ( cons(sk5,app(sk4,sk7)) = cons(sk5,sk4) )
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124781,c_376]) ).
tcf(c_125374,plain,
( frontsegP(app(sk4,sk7),sk4)
| ~ ssItem(sk5)
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_124781,c_421]) ).
tcf(c_125375,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124781,c_108921]) ).
tcf(c_125376,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124781,c_107545]) ).
tcf(c_125377,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124781,c_107525]) ).
tcf(c_125378,plain,
( frontsegP(app(sk4,sk7),sk4)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125374,c_6485,c_6486]) ).
tcf(c_125381,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125377,c_124771]) ).
tcf(c_125384,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125376,c_124771]) ).
tcf(c_125387,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125375,c_124771]) ).
tcf(c_125390,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk5,sk4))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125370,c_66402,c_124771]) ).
tcf(c_125394,plain,
( ( cons(sk5,app(sk4,sk7)) = cons(sk5,sk4) )
| ~ frontsegP(cons(sk5,sk4),cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125372,c_66402,c_124771]) ).
tcf(c_125397,plain,
app(cons(sk5,sk4),skaf45(cons(sk5,app(sk4,sk7)),cons(sk5,sk4))) = cons(sk5,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_125371,c_66402,c_124771]) ).
tcf(c_125493,plain,
! [X0: $i] :
( frontsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(X0,app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_125378,c_401]) ).
tcf(c_125494,plain,
( ( app(sk4,skaf45(app(sk4,sk7),sk4)) = app(sk4,sk7) )
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_125378,c_379]) ).
tcf(c_125495,plain,
( ( app(sk4,sk7) = sk4 )
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(sk4,app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_125378,c_376]) ).
tcf(c_125496,plain,
( ( app(sk4,sk7) = sk4 )
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(sk4,app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125495,c_6486]) ).
tcf(c_125500,plain,
( ( app(sk4,skaf45(app(sk4,sk7),sk4)) = app(sk4,sk7) )
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125494,c_6486]) ).
tcf(c_125503,plain,
! [X0: $i] :
( frontsegP(X0,sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(X0,app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125493,c_6486]) ).
tcf(c_125510,plain,
( ssList(cons(sk5,app(sk7,sk7)))
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_123079,c_332]) ).
tcf(c_125511,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk7,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(app(cons(sk5,sk7),sk7),X0)) ),
inference(superposition,[status(thm)],[c_123079,c_420]) ).
tcf(c_125512,plain,
! [X0: $i] :
( ( cons(sk5,sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_123079,c_398]) ).
tcf(c_125514,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(cons(sk5,sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk7))
| ~ memberP(cons(sk5,app(sk7,sk7)),X0) ),
inference(superposition,[status(thm)],[c_123079,c_405]) ).
tcf(c_125515,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_123079,c_366]) ).
tcf(c_125516,plain,
( ( cons(sk5,sk7) = nil )
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_123079,c_365]) ).
tcf(c_125517,plain,
( frontsegP(cons(sk5,app(sk7,sk7)),cons(sk5,sk7))
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_123079,c_808]) ).
tcf(c_125518,plain,
( rearsegP(cons(sk5,app(sk7,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_123079,c_807]) ).
tcf(c_125519,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_123079,c_388]) ).
tcf(c_125520,plain,
! [X0: $i] :
( rearsegP(cons(sk5,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_123079,c_383]) ).
tcf(c_125521,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ( app(cons(sk5,sk7),X0) != cons(sk5,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_123079,c_397]) ).
tcf(c_125522,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk7))
| ~ memberP(cons(sk5,sk7),X0) ),
inference(superposition,[status(thm)],[c_123079,c_387]) ).
tcf(c_125523,plain,
! [X0: $i] :
( frontsegP(cons(sk5,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(cons(sk5,sk7),X0) ),
inference(superposition,[status(thm)],[c_123079,c_384]) ).
tcf(c_125524,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,app(sk7,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_123079,c_419]) ).
tcf(c_125525,plain,
( ( cons(sk5,sk7) = iPr_def_14 )
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_123079,c_51335]) ).
tcf(c_125526,plain,
( ( cons(sk5,sk7) = nil )
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_123079,c_17625]) ).
tcf(c_125527,plain,
( ssList(cons(sk5,app(sk7,sk7)))
| ~ ssList(cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125510,c_6483]) ).
tcf(c_125530,plain,
( rearsegP(cons(sk5,app(sk7,sk7)),sk7)
| ~ ssList(cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125518,c_6483]) ).
tcf(c_125533,plain,
( frontsegP(cons(sk5,app(sk7,sk7)),cons(sk5,sk7))
| ~ ssList(cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125517,c_6483]) ).
tcf(c_125539,plain,
( ( sk7 = nil )
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125515,c_6483]) ).
tcf(c_125546,plain,
! [X0: $i] :
( rearsegP(cons(sk5,app(sk7,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125520,c_6483]) ).
tcf(c_125551,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk7,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125519,c_6483]) ).
tcf(c_125556,plain,
( ( cons(sk5,sk7) = nil )
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125516,c_6483]) ).
tcf(c_125560,plain,
! [X0: $i] :
( frontsegP(cons(sk5,app(sk7,sk7)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(cons(sk5,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125523,c_6483]) ).
tcf(c_125565,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk7,sk7)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk7))
| ~ memberP(cons(sk5,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125522,c_6483]) ).
tcf(c_125570,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,app(sk7,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125524,c_6483]) ).
tcf(c_125576,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(cons(sk5,sk7),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk7))
| ~ memberP(cons(sk5,app(sk7,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125514,c_6483]) ).
tcf(c_125582,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ( app(cons(sk5,sk7),X0) != cons(sk5,app(sk7,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125521,c_6483]) ).
tcf(c_125587,plain,
! [X0: $i] :
( ( cons(sk5,sk7) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125512,c_6483]) ).
tcf(c_125592,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk7,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(cons(sk5,app(sk7,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_125511,c_123079]) ).
tcf(c_125593,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk7,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(cons(sk5,app(sk7,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125592,c_6483]) ).
tcf(c_125769,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk7,sk7)),sk8),X0) = app(cons(sk5,app(sk7,sk7)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_16217]) ).
tcf(c_125770,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk7,sk7)),sk7),X0) = app(cons(sk5,app(sk7,sk7)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_16216]) ).
tcf(c_125771,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk7,sk7)),sk4),X0) = app(cons(sk5,app(sk7,sk7)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_16215]) ).
tcf(c_125772,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk5,app(sk7,sk7)))) = app(cons(X1,X0),cons(sk5,app(sk7,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_404]) ).
tcf(c_125773,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk5,app(sk7,sk7))),X0) = app(X1,app(cons(sk5,app(sk7,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_396]) ).
tcf(c_125774,plain,
! [X0: $i] :
( ( cons(sk5,app(sk7,sk7)) = nil )
| ( app(tl(cons(sk5,app(sk7,sk7))),X0) = tl(app(cons(sk5,app(sk7,sk7)),X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_380]) ).
tcf(c_125775,plain,
! [X0: $i] :
( ( cons(sk5,app(sk7,sk7)) = nil )
| ( hd(app(cons(sk5,app(sk7,sk7)),X0)) = hd(cons(sk5,app(sk7,sk7))) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_370]) ).
tcf(c_125776,plain,
( ( hd(app(iPr_def_12,cons(sk5,app(sk7,sk7)))) = sk5 )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_11944]) ).
tcf(c_125777,plain,
( ( cons(sk5,app(cons(sk5,app(sk7,sk7)),sk7)) = app(cons(sk5,cons(sk5,app(sk7,sk7))),sk7) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_122889]) ).
tcf(c_125778,plain,
( ( hd(app(iPr_def_14,cons(sk5,app(sk7,sk7)))) = sk6 )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_11940]) ).
tcf(c_125779,plain,
( ( hd(cons(skac2,cons(sk5,app(sk7,sk7)))) = skac2 )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_10021]) ).
tcf(c_125780,plain,
( ( hd(cons(skac3,cons(sk5,app(sk7,sk7)))) = skac3 )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_10020]) ).
tcf(c_125781,plain,
( ( tl(cons(skac2,cons(sk5,app(sk7,sk7)))) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_9891]) ).
tcf(c_125782,plain,
( ( cons(sk6,app(cons(sk5,app(sk7,sk7)),sk4)) = app(cons(sk6,cons(sk5,app(sk7,sk7))),sk4) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_64778]) ).
tcf(c_125783,plain,
( ( cons(sk5,app(cons(sk5,app(sk7,sk7)),sk4)) = app(cons(sk5,cons(sk5,app(sk7,sk7))),sk4) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_64777]) ).
tcf(c_125784,plain,
( ( tl(cons(skac3,cons(sk5,app(sk7,sk7)))) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_9890]) ).
tcf(c_125785,plain,
( ( app(app(sk8,sk8),cons(sk5,app(sk7,sk7))) = app(sk8,app(sk8,cons(sk5,app(sk7,sk7)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_56349]) ).
tcf(c_125786,plain,
( ( app(app(sk7,sk8),cons(sk5,app(sk7,sk7))) = app(sk7,app(sk8,cons(sk5,app(sk7,sk7)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_56348]) ).
tcf(c_125787,plain,
( ( app(app(sk4,sk8),cons(sk5,app(sk7,sk7))) = app(sk4,app(sk8,cons(sk5,app(sk7,sk7)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_56347]) ).
tcf(c_125788,plain,
( ( app(app(sk8,sk7),cons(sk5,app(sk7,sk7))) = app(sk8,app(sk7,cons(sk5,app(sk7,sk7)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_45540]) ).
tcf(c_125789,plain,
( ( app(app(sk7,sk7),cons(sk5,app(sk7,sk7))) = app(sk7,app(sk7,cons(sk5,app(sk7,sk7)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_45539]) ).
tcf(c_125790,plain,
( ( app(app(sk4,sk7),cons(sk5,app(sk7,sk7))) = app(sk4,app(sk7,cons(sk5,app(sk7,sk7)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_45538]) ).
tcf(c_125791,plain,
( ( app(app(sk8,sk4),cons(sk5,app(sk7,sk7))) = app(sk8,app(sk4,cons(sk5,app(sk7,sk7)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_37633]) ).
tcf(c_125792,plain,
( ( app(app(sk7,sk4),cons(sk5,app(sk7,sk7))) = app(sk7,app(sk4,cons(sk5,app(sk7,sk7)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_37632]) ).
tcf(c_125793,plain,
( ( app(app(sk4,sk4),cons(sk5,app(sk7,sk7))) = app(sk4,app(sk4,cons(sk5,app(sk7,sk7)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_37631]) ).
tcf(c_125794,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk5,app(sk7,sk7))) = tl(app(sk8,cons(sk5,app(sk7,sk7)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_14611]) ).
tcf(c_125795,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk5,app(sk7,sk7))) = tl(app(sk7,cons(sk5,app(sk7,sk7)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_14610]) ).
tcf(c_125796,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk5,app(sk7,sk7))) = tl(app(sk4,cons(sk5,app(sk7,sk7)))) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_14609]) ).
tcf(c_125797,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk5,app(sk7,sk7)))) = hd(sk8) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_11903]) ).
tcf(c_125798,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk5,app(sk7,sk7)))) = hd(sk7) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_11902]) ).
tcf(c_125799,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk5,app(sk7,sk7)))) = hd(sk4) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_11901]) ).
tcf(c_125800,plain,
( cyclefreeP(cons(sk5,app(sk7,sk7)))
| ( app(app(skaf51(cons(sk5,app(sk7,sk7))),cons(skaf49(cons(sk5,app(sk7,sk7))),skaf52(cons(sk5,app(sk7,sk7))))),cons(skaf50(cons(sk5,app(sk7,sk7))),skaf53(cons(sk5,app(sk7,sk7))))) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_414]) ).
tcf(c_125801,plain,
( totalorderP(cons(sk5,app(sk7,sk7)))
| ( app(app(skaf56(cons(sk5,app(sk7,sk7))),cons(skaf54(cons(sk5,app(sk7,sk7))),skaf57(cons(sk5,app(sk7,sk7))))),cons(skaf55(cons(sk5,app(sk7,sk7))),skaf58(cons(sk5,app(sk7,sk7))))) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_413]) ).
tcf(c_125802,plain,
( strictorderP(cons(sk5,app(sk7,sk7)))
| ( app(app(skaf61(cons(sk5,app(sk7,sk7))),cons(skaf59(cons(sk5,app(sk7,sk7))),skaf62(cons(sk5,app(sk7,sk7))))),cons(skaf60(cons(sk5,app(sk7,sk7))),skaf63(cons(sk5,app(sk7,sk7))))) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_412]) ).
tcf(c_125803,plain,
( totalorderedP(cons(sk5,app(sk7,sk7)))
| ( app(app(skaf66(cons(sk5,app(sk7,sk7))),cons(skaf64(cons(sk5,app(sk7,sk7))),skaf67(cons(sk5,app(sk7,sk7))))),cons(skaf65(cons(sk5,app(sk7,sk7))),skaf68(cons(sk5,app(sk7,sk7))))) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_411]) ).
tcf(c_125804,plain,
( strictorderedP(cons(sk5,app(sk7,sk7)))
| ( app(app(skaf71(cons(sk5,app(sk7,sk7))),cons(skaf69(cons(sk5,app(sk7,sk7))),skaf72(cons(sk5,app(sk7,sk7))))),cons(skaf70(cons(sk5,app(sk7,sk7))),skaf73(cons(sk5,app(sk7,sk7))))) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_410]) ).
tcf(c_125805,plain,
( duplicatefreeP(cons(sk5,app(sk7,sk7)))
| ( app(app(skaf75(cons(sk5,app(sk7,sk7))),cons(skaf74(cons(sk5,app(sk7,sk7))),skaf76(cons(sk5,app(sk7,sk7))))),cons(skaf74(cons(sk5,app(sk7,sk7))),skaf77(cons(sk5,app(sk7,sk7))))) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_409]) ).
tcf(c_125806,plain,
( equalelemsP(cons(sk5,app(sk7,sk7)))
| ( app(skaf80(cons(sk5,app(sk7,sk7))),cons(skaf78(cons(sk5,app(sk7,sk7))),cons(skaf79(cons(sk5,app(sk7,sk7))),skaf81(cons(sk5,app(sk7,sk7)))))) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_389]) ).
tcf(c_125807,plain,
( ( hd(cons(sk6,cons(sk5,app(sk7,sk7)))) = sk6 )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_10017]) ).
tcf(c_125808,plain,
( ( cons(sk5,app(sk7,sk7)) = nil )
| ( cons(skaf83(cons(sk5,app(sk7,sk7))),skaf82(cons(sk5,app(sk7,sk7)))) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_356]) ).
tcf(c_125809,plain,
( ( cons(sk5,app(sk7,sk7)) = nil )
| ( cons(hd(cons(sk5,app(sk7,sk7))),tl(cons(sk5,app(sk7,sk7)))) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_351]) ).
tcf(c_125810,plain,
( ( hd(cons(sk5,cons(sk5,app(sk7,sk7)))) = sk5 )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_10016]) ).
tcf(c_125811,plain,
( ( tl(cons(sk6,cons(sk5,app(sk7,sk7)))) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_9887]) ).
tcf(c_125812,plain,
( ( tl(cons(sk5,cons(sk5,app(sk7,sk7)))) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_9886]) ).
tcf(c_125813,plain,
( duplicatefreeP(cons(sk5,app(sk7,sk7)))
| ~ iPr_def_11
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_6471]) ).
tcf(c_125814,plain,
( ( app(nil,cons(sk5,app(sk7,sk7))) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_321]) ).
tcf(c_125815,plain,
( ( app(cons(sk5,app(sk7,sk7)),nil) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_125527,c_320]) ).
tcf(c_126430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf80(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf80(X1)))
| ~ ssList(skaf82(skaf80(X1)))
| ~ leq(X2,skaf83(skaf80(X1)))
| ~ leq(skaf83(skaf80(X1)),X2)
| ~ ssList(app(app(X0,skaf80(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf80(X1)),skaf82(skaf80(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10988,c_432]) ).
tcf(c_126431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf80(X1)))
| leq(skaf83(skaf80(X1)),X2)
| ( skaf80(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf80(X1)))
| ~ ssList(skaf82(skaf80(X1)))
| ~ ssList(app(app(X0,skaf80(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf80(X1)),skaf82(skaf80(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10988,c_431]) ).
tcf(c_126432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf80(X1)))
| lt(skaf83(skaf80(X1)),X2)
| ( skaf80(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf80(X1)))
| ~ ssList(skaf82(skaf80(X1)))
| ~ ssList(app(app(X0,skaf80(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf80(X1)),skaf82(skaf80(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10988,c_430]) ).
tcf(c_126433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf80(X1)),X2)
| ( skaf80(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf80(X1)))
| ~ ssList(skaf82(skaf80(X1)))
| ~ ssList(app(app(X0,skaf80(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf80(X1)),skaf82(skaf80(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10988,c_429]) ).
tcf(c_126434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf80(X1)),X2)
| ( skaf80(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf80(X1)))
| ~ ssList(skaf82(skaf80(X1)))
| ~ ssList(app(app(X0,skaf80(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf80(X1)),skaf82(skaf80(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10988,c_428]) ).
tcf(c_126435,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf80(X1)))
| ~ ssList(skaf82(skaf80(X1)))
| ~ ssList(app(app(X0,skaf80(X1)),cons(skaf83(skaf80(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf80(X1)),skaf82(skaf80(X1)))),cons(skaf83(skaf80(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10988,c_426]) ).
tcf(c_126436,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf80(X1)),skaf83(skaf80(X1)))
| ( skaf80(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf80(X1)))
| ~ ssList(skaf82(skaf80(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf80(X1)),skaf82(skaf80(X1))))) ),
inference(superposition,[status(thm)],[c_10988,c_422]) ).
tcf(c_126437,plain,
! [X0: $i] :
( memberP(skaf80(X0),skaf83(skaf80(X0)))
| ( skaf80(X0) = nil )
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10988,c_385]) ).
tcf(c_126439,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( skaf82(skaf80(X0)) = nil )
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0)))
| ( skaf80(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10988,c_21847]) ).
tcf(c_126440,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( skaf82(skaf80(X0)) = nil )
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0)))
| ( skaf80(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10988,c_21842]) ).
tcf(c_126441,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( skaf83(skaf80(X0)) = sk5 )
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0)))
| ( skaf80(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10988,c_21750]) ).
tcf(c_126442,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( skaf83(skaf80(X0)) = sk6 )
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0)))
| ( skaf80(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10988,c_21745]) ).
tcf(c_126443,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( skaf83(skaf80(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf80(X0))
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10988,c_21595]) ).
tcf(c_126444,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( skaf83(skaf80(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf80(X0))
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10988,c_21590]) ).
tcf(c_126445,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( skaf83(skaf80(X0)) = sk5 )
| ~ frontsegP(skaf80(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10988,c_21585]) ).
tcf(c_126446,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( skaf83(skaf80(X0)) = sk6 )
| ~ frontsegP(skaf80(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10988,c_21580]) ).
tcf(c_126447,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf80(X0)))
| ( skaf80(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf80(X0))
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10988,c_21202]) ).
tcf(c_126448,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf80(X0)))
| ( skaf80(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf80(X0))
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10988,c_21197]) ).
tcf(c_126451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X0) = nil )
| ( skaf83(skaf80(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0)))
| ~ frontsegP(skaf80(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10988,c_423]) ).
tcf(c_126452,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf80(X0)),X2)
| ( skaf80(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0)))
| ~ frontsegP(skaf80(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10988,c_421]) ).
tcf(c_126453,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf80(X0)),X1)
| ( skaf80(X0) = nil )
| ( skaf83(skaf80(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0)))
| ~ memberP(skaf80(X0),X1) ),
inference(superposition,[status(thm)],[c_10988,c_408]) ).
tcf(c_126454,plain,
! [X0: $i] :
( leq(skaf83(skaf80(X0)),hd(skaf82(skaf80(X0))))
| ( skaf80(X0) = nil )
| ( skaf82(skaf80(X0)) = nil )
| ~ totalorderedP(skaf80(X0))
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10988,c_382]) ).
tcf(c_126455,plain,
! [X0: $i] :
( lt(skaf83(skaf80(X0)),hd(skaf82(skaf80(X0))))
| ( skaf80(X0) = nil )
| ( skaf82(skaf80(X0)) = nil )
| ~ strictorderedP(skaf80(X0))
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10988,c_381]) ).
tcf(c_126456,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf80(X0)))
| ( skaf80(X0) = nil )
| ( skaf82(skaf80(X0)) = nil )
| ~ totalorderedP(skaf80(X0))
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10988,c_372]) ).
tcf(c_126457,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf80(X0)))
| ( skaf80(X0) = nil )
| ( skaf82(skaf80(X0)) = nil )
| ~ strictorderedP(skaf80(X0))
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0))) ),
inference(superposition,[status(thm)],[c_10988,c_371]) ).
tcf(c_126458,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0)))
| ( skaf82(skaf80(X0)) != skaf80(X0) ) ),
inference(superposition,[status(thm)],[c_10988,c_346]) ).
tcf(c_126460,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf80(X1)),X0),skaf80(X1))
| ( skaf80(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf80(X1)))
| ~ ssList(skaf82(skaf80(X1)))
| ~ frontsegP(X0,skaf82(skaf80(X1))) ),
inference(superposition,[status(thm)],[c_10988,c_425]) ).
tcf(c_126461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X2) = nil )
| ( skaf83(skaf80(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf80(X2)))
| ~ ssList(skaf82(skaf80(X2)))
| ~ ssList(app(X0,cons(X1,skaf80(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf80(X2)),skaf82(skaf80(X2)))))) ),
inference(superposition,[status(thm)],[c_10988,c_427]) ).
tcf(c_126462,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X2) = nil )
| ( skaf82(skaf80(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf80(X2)))
| ~ ssList(skaf82(skaf80(X2)))
| ( cons(X0,X1) != skaf80(X2) ) ),
inference(superposition,[status(thm)],[c_10988,c_418]) ).
tcf(c_126463,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X2) = nil )
| ( skaf83(skaf80(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf80(X2)))
| ~ ssList(skaf82(skaf80(X2)))
| ( cons(X0,X1) != skaf80(X2) ) ),
inference(superposition,[status(thm)],[c_10988,c_417]) ).
tcf(c_126464,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X2) = nil )
| ( skaf83(skaf80(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf80(X2)))
| ~ ssList(skaf82(skaf80(X2)))
| ~ frontsegP(cons(X0,X1),skaf80(X2)) ),
inference(superposition,[status(thm)],[c_10988,c_423]) ).
tcf(c_126465,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf80(X2)))
| ( skaf80(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf80(X2)))
| ~ ssList(skaf82(skaf80(X2)))
| ~ frontsegP(cons(X0,X1),skaf80(X2)) ),
inference(superposition,[status(thm)],[c_10988,c_421]) ).
tcf(c_126466,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf80(X0),cons(skaf83(skaf80(X0)),X1))
| ( skaf80(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0)))
| ~ frontsegP(skaf82(skaf80(X0)),X1) ),
inference(superposition,[status(thm)],[c_10988,c_425]) ).
tcf(c_126467,plain,
! [X0: $i,X1: $i] :
( memberP(skaf80(X0),X1)
| ( skaf80(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf80(X0)))
| ~ ssList(skaf82(skaf80(X0)))
| ~ memberP(skaf82(skaf80(X0)),X1) ),
inference(superposition,[status(thm)],[c_10988,c_386]) ).
tcf(c_126468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf80(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf80(X3)))
| ~ ssList(skaf82(skaf80(X3)))
| ~ leq(X1,skaf83(skaf80(X3)))
| ~ leq(skaf83(skaf80(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf80(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf80(X3)),skaf82(skaf80(X3))))) ),
inference(superposition,[status(thm)],[c_10988,c_432]) ).
tcf(c_126469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf80(X3)))
| leq(skaf83(skaf80(X3)),X1)
| ( skaf80(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf80(X3)))
| ~ ssList(skaf82(skaf80(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf80(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf80(X3)),skaf82(skaf80(X3))))) ),
inference(superposition,[status(thm)],[c_10988,c_431]) ).
tcf(c_126470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf80(X3)))
| lt(skaf83(skaf80(X3)),X1)
| ( skaf80(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf80(X3)))
| ~ ssList(skaf82(skaf80(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf80(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf80(X3)),skaf82(skaf80(X3))))) ),
inference(superposition,[status(thm)],[c_10988,c_430]) ).
tcf(c_126471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf80(X3)))
| ( skaf80(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf80(X3)))
| ~ ssList(skaf82(skaf80(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf80(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf80(X3)),skaf82(skaf80(X3))))) ),
inference(superposition,[status(thm)],[c_10988,c_429]) ).
tcf(c_126472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf80(X3)))
| ( skaf80(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf80(X3)))
| ~ ssList(skaf82(skaf80(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf80(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf80(X3)),skaf82(skaf80(X3))))) ),
inference(superposition,[status(thm)],[c_10988,c_428]) ).
tcf(c_126473,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf80(X1)))
| ~ ssList(skaf82(skaf80(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf80(X1)),X2)),skaf80(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf80(X1)),X2)),cons(skaf83(skaf80(X1)),skaf82(skaf80(X1))))) ),
inference(superposition,[status(thm)],[c_10988,c_426]) ).
tcf(c_126474,plain,
! [X0: $i] :
( memberP(skaf80(X0),skaf83(skaf80(X0)))
| ( skaf80(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126437,c_259,c_260]) ).
tcf(c_126477,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( skaf82(skaf80(X0)) != skaf80(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126458,c_259,c_260]) ).
tcf(c_126480,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf80(X0)))
| ( skaf80(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf80(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126448,c_259,c_260]) ).
tcf(c_126484,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf80(X0)))
| ( skaf80(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf80(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126447,c_259,c_260]) ).
tcf(c_126488,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( skaf83(skaf80(X0)) = sk6 )
| ~ frontsegP(skaf80(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126446,c_259,c_260]) ).
tcf(c_126492,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( skaf83(skaf80(X0)) = sk5 )
| ~ frontsegP(skaf80(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126445,c_259,c_260]) ).
tcf(c_126496,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( skaf83(skaf80(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf80(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126444,c_259,c_260]) ).
tcf(c_126500,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( skaf83(skaf80(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf80(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126443,c_259,c_260]) ).
tcf(c_126504,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( skaf83(skaf80(X0)) = sk6 )
| ( skaf80(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126442,c_259,c_260]) ).
tcf(c_126508,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( skaf83(skaf80(X0)) = sk5 )
| ( skaf80(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126441,c_259,c_260]) ).
tcf(c_126512,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( skaf82(skaf80(X0)) = nil )
| ( skaf80(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126440,c_259,c_260]) ).
tcf(c_126516,plain,
! [X0: $i] :
( ( skaf80(X0) = nil )
| ( skaf82(skaf80(X0)) = nil )
| ( skaf80(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126439,c_259,c_260]) ).
tcf(c_126520,plain,
! [X0: $i,X1: $i] :
( memberP(skaf80(X0),X1)
| ( skaf80(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf80(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126467,c_259,c_260]) ).
tcf(c_126525,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf80(X0)))
| ( skaf80(X0) = nil )
| ( skaf82(skaf80(X0)) = nil )
| ~ strictorderedP(skaf80(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126457,c_259,c_260]) ).
tcf(c_126530,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf80(X0)))
| ( skaf80(X0) = nil )
| ( skaf82(skaf80(X0)) = nil )
| ~ totalorderedP(skaf80(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126456,c_259,c_260]) ).
tcf(c_126535,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf80(X0),cons(skaf83(skaf80(X0)),X1))
| ( skaf80(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf80(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126466,c_259,c_260]) ).
tcf(c_126540,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf80(X1)),X0),skaf80(X1))
| ( skaf80(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf80(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126460,c_259,c_260]) ).
tcf(c_126545,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf80(X2)))
| ( skaf80(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf80(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126465,c_259,c_260]) ).
tcf(c_126551,plain,
! [X0: $i] :
( lt(skaf83(skaf80(X0)),hd(skaf82(skaf80(X0))))
| ( skaf80(X0) = nil )
| ( skaf82(skaf80(X0)) = nil )
| ~ strictorderedP(skaf80(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126455,c_259,c_260]) ).
tcf(c_126556,plain,
! [X0: $i] :
( leq(skaf83(skaf80(X0)),hd(skaf82(skaf80(X0))))
| ( skaf80(X0) = nil )
| ( skaf82(skaf80(X0)) = nil )
| ~ totalorderedP(skaf80(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126454,c_259,c_260]) ).
tcf(c_126561,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf80(X0)),X2)
| ( skaf80(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf80(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126452,c_259,c_260]) ).
tcf(c_126567,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X2) = nil )
| ( skaf83(skaf80(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf80(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126464,c_259,c_260]) ).
tcf(c_126573,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf80(X0)),X1)
| ( skaf80(X0) = nil )
| ( skaf83(skaf80(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf80(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126453,c_259,c_260]) ).
tcf(c_126579,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X0) = nil )
| ( skaf83(skaf80(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf80(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126451,c_259,c_260]) ).
tcf(c_126585,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X2) = nil )
| ( skaf83(skaf80(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf80(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126463,c_259,c_260]) ).
tcf(c_126591,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X2) = nil )
| ( skaf82(skaf80(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf80(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126462,c_259,c_260]) ).
tcf(c_126597,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf80(X1)),skaf83(skaf80(X1)))
| ( skaf80(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf80(X1)),skaf82(skaf80(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126436,c_259,c_260]) ).
tcf(c_126602,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X2) = nil )
| ( skaf83(skaf80(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf80(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf80(X2)),skaf82(skaf80(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126461,c_259,c_260]) ).
tcf(c_126609,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf80(X1)),X2)),skaf80(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf80(X1)),X2)),cons(skaf83(skaf80(X1)),skaf82(skaf80(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126473,c_259,c_260]) ).
tcf(c_126615,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf80(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf80(X1)),cons(skaf83(skaf80(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf80(X1)),skaf82(skaf80(X1)))),cons(skaf83(skaf80(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126435,c_259,c_260]) ).
tcf(c_126621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf80(X3)))
| ( skaf80(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf80(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf80(X3)),skaf82(skaf80(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126472,c_259,c_260]) ).
tcf(c_126629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf80(X3)))
| ( skaf80(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf80(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf80(X3)),skaf82(skaf80(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126471,c_259,c_260]) ).
tcf(c_126637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf80(X1)),X2)
| ( skaf80(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf80(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf80(X1)),skaf82(skaf80(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126434,c_259,c_260]) ).
tcf(c_126645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf80(X1)),X2)
| ( skaf80(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf80(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf80(X1)),skaf82(skaf80(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126433,c_259,c_260]) ).
tcf(c_126653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf80(X3)))
| lt(skaf83(skaf80(X3)),X1)
| ( skaf80(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf80(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf80(X3)),skaf82(skaf80(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126470,c_259,c_260]) ).
tcf(c_126662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf80(X3)))
| leq(skaf83(skaf80(X3)),X1)
| ( skaf80(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf80(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf80(X3)),skaf82(skaf80(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126469,c_259,c_260]) ).
tcf(c_126671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf80(X1)))
| lt(skaf83(skaf80(X1)),X2)
| ( skaf80(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf80(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf80(X1)),skaf82(skaf80(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126432,c_259,c_260]) ).
tcf(c_126680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf80(X1)))
| leq(skaf83(skaf80(X1)),X2)
| ( skaf80(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf80(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf80(X1)),skaf82(skaf80(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126431,c_259,c_260]) ).
tcf(c_126689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf80(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf80(X3)))
| ~ leq(skaf83(skaf80(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf80(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf80(X3)),skaf82(skaf80(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126468,c_259,c_260]) ).
tcf(c_126698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf80(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf80(X1)))
| ~ leq(skaf83(skaf80(X1)),X2)
| ~ ssList(app(app(X0,skaf80(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf80(X1)),skaf82(skaf80(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126430,c_259,c_260]) ).
tcf(c_127116,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf82(X0))))
| ( app(iPr_def_12,skaf82(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf82(X0)))
| ~ ssList(app(iPr_def_12,skaf82(X0))) ),
inference(superposition,[status(thm)],[c_124157,c_407]) ).
tcf(c_127117,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf82(X0))))
| ( app(iPr_def_12,skaf82(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf82(X0)))
| ~ ssList(app(iPr_def_12,skaf82(X0))) ),
inference(superposition,[status(thm)],[c_124157,c_406]) ).
tcf(c_127133,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf81(X0))))
| ( app(iPr_def_12,skaf81(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf81(X0)))
| ~ ssList(app(iPr_def_12,skaf81(X0))) ),
inference(superposition,[status(thm)],[c_124158,c_407]) ).
tcf(c_127134,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf81(X0))))
| ( app(iPr_def_12,skaf81(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf81(X0)))
| ~ ssList(app(iPr_def_12,skaf81(X0))) ),
inference(superposition,[status(thm)],[c_124158,c_406]) ).
tcf(c_127150,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf80(X0))))
| ( app(iPr_def_12,skaf80(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf80(X0)))
| ~ ssList(app(iPr_def_12,skaf80(X0))) ),
inference(superposition,[status(thm)],[c_124159,c_407]) ).
tcf(c_127151,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf80(X0))))
| ( app(iPr_def_12,skaf80(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf80(X0)))
| ~ ssList(app(iPr_def_12,skaf80(X0))) ),
inference(superposition,[status(thm)],[c_124159,c_406]) ).
tcf(c_127167,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf77(X0))))
| ( app(iPr_def_12,skaf77(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf77(X0)))
| ~ ssList(app(iPr_def_12,skaf77(X0))) ),
inference(superposition,[status(thm)],[c_124160,c_407]) ).
tcf(c_127168,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf77(X0))))
| ( app(iPr_def_12,skaf77(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf77(X0)))
| ~ ssList(app(iPr_def_12,skaf77(X0))) ),
inference(superposition,[status(thm)],[c_124160,c_406]) ).
tcf(c_127184,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_12,iPr_def_12)))
| ( app(iPr_def_12,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(app(iPr_def_12,iPr_def_12))
| ~ ssList(app(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_124189,c_407]) ).
tcf(c_127185,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_12,iPr_def_12)))
| ( app(iPr_def_12,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(app(iPr_def_12,iPr_def_12))
| ~ ssList(app(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_124189,c_406]) ).
tcf(c_127263,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_12,iPr_def_15)))
| ( app(iPr_def_12,iPr_def_15) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(app(iPr_def_12,iPr_def_15))
| ~ ssList(app(iPr_def_12,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_124190,c_407]) ).
tcf(c_127264,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_12,iPr_def_15)))
| ( app(iPr_def_12,iPr_def_15) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(app(iPr_def_12,iPr_def_15))
| ~ ssList(app(iPr_def_12,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_124190,c_406]) ).
tcf(c_127280,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_12,iPr_def_14)))
| ( app(iPr_def_12,iPr_def_14) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(app(iPr_def_12,iPr_def_14))
| ~ ssList(app(iPr_def_12,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_124191,c_407]) ).
tcf(c_127281,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_12,iPr_def_14)))
| ( app(iPr_def_12,iPr_def_14) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(app(iPr_def_12,iPr_def_14))
| ~ ssList(app(iPr_def_12,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_124191,c_406]) ).
tcf(c_127298,plain,
( ssList(cons(sk5,sk7))
| ~ ssList(iPr_def_12)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_123158,c_332]) ).
tcf(c_127299,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk7),X0),sk7)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_12,sk7),X0)) ),
inference(superposition,[status(thm)],[c_123158,c_420]) ).
tcf(c_127300,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssList(X0)
| ( app(X0,sk7) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_123158,c_398]) ).
tcf(c_127302,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(sk7,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(cons(sk5,sk7),X0) ),
inference(superposition,[status(thm)],[c_123158,c_405]) ).
tcf(c_127304,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ( cons(sk5,sk7) != nil ) ),
inference(superposition,[status(thm)],[c_123158,c_365]) ).
tcf(c_127305,plain,
( frontsegP(cons(sk5,sk7),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_123158,c_808]) ).
tcf(c_127306,plain,
( rearsegP(cons(sk5,sk7),sk7)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_123158,c_807]) ).
tcf(c_127307,plain,
! [X0: $i] :
( memberP(cons(sk5,sk7),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(superposition,[status(thm)],[c_123158,c_388]) ).
tcf(c_127308,plain,
! [X0: $i] :
( rearsegP(cons(sk5,sk7),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(superposition,[status(thm)],[c_123158,c_383]) ).
tcf(c_127309,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_123158,c_397]) ).
tcf(c_127310,plain,
! [X0: $i] :
( memberP(cons(sk5,sk7),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_123158,c_387]) ).
tcf(c_127311,plain,
! [X0: $i] :
( frontsegP(cons(sk5,sk7),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_123158,c_384]) ).
tcf(c_127312,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,sk7),X1),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(superposition,[status(thm)],[c_123158,c_419]) ).
tcf(c_127313,plain,
( ( sk4 = sk7 )
| ~ ssList(sk7)
| ( cons(sk5,sk4) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_123158,c_66429]) ).
tcf(c_127314,plain,
( ( iPr_def_12 = iPr_def_14 )
| ~ ssList(iPr_def_12)
| ( cons(sk5,sk7) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_123158,c_51335]) ).
tcf(c_127315,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sk5,sk7) != sk7 ) ),
inference(superposition,[status(thm)],[c_123158,c_17625]) ).
tcf(c_127316,plain,
ssList(cons(sk5,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_127298,c_9489,c_6483]) ).
tcf(c_127317,plain,
rearsegP(cons(sk5,sk7),sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_127306,c_9489,c_6483]) ).
tcf(c_127318,plain,
frontsegP(cons(sk5,sk7),iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_127305,c_9489,c_6483]) ).
tcf(c_127319,plain,
cons(sk5,sk7) != sk7,
inference(forward_subsumption_resolution,[status(thm)],[c_127315,c_10150,c_9489]) ).
tcf(c_127320,plain,
cons(sk5,sk7) != cons(sk6,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_127314,c_36538,c_9489]) ).
tcf(c_127321,plain,
( ( sk4 = sk7 )
| ( cons(sk5,sk4) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127313,c_6483]) ).
tcf(c_127324,plain,
cons(sk5,sk7) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_127304,c_10150,c_9489,c_6483]) ).
tcf(c_127325,plain,
! [X0: $i] :
( frontsegP(cons(sk5,sk7),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127311,c_9489,c_6483]) ).
tcf(c_127329,plain,
! [X0: $i] :
( memberP(cons(sk5,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127310,c_9489,c_6483]) ).
tcf(c_127333,plain,
! [X0: $i] :
( rearsegP(cons(sk5,sk7),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127308,c_9489,c_6483]) ).
tcf(c_127337,plain,
! [X0: $i] :
( memberP(cons(sk5,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127307,c_9489,c_6483]) ).
tcf(c_127341,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(sk7,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk5,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127302,c_9489,c_6483]) ).
tcf(c_127346,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127309,c_9489,c_6483]) ).
tcf(c_127350,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(X0,sk7) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127300,c_9489,c_6483]) ).
tcf(c_127354,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,sk7),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127312,c_9489,c_6483]) ).
tcf(c_127359,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk7),X0),sk7)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk7),X0)) ),
inference(light_normalisation,[status(thm)],[c_127299,c_123158]) ).
tcf(c_127360,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk7),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127359,c_9489,c_6483]) ).
tcf(c_127364,plain,
ssList(cons(sk5,app(sk7,sk7))),
inference(backward_subsumption_resolution,[status(thm)],[c_125527,c_127316]) ).
tcf(c_127365,plain,
frontsegP(cons(sk5,app(sk7,sk4)),cons(sk5,sk7)),
inference(backward_subsumption_resolution,[status(thm)],[c_65657,c_127316]) ).
tcf(c_127366,plain,
rearsegP(cons(sk5,app(sk7,sk4)),sk4),
inference(backward_subsumption_resolution,[status(thm)],[c_65654,c_127316]) ).
tcf(c_127367,plain,
ssList(cons(sk5,app(sk7,sk4))),
inference(backward_subsumption_resolution,[status(thm)],[c_65651,c_127316]) ).
tcf(c_127377,plain,
! [X0: $i] :
( ( app(app(cons(sk5,sk7),sk8),X0) = app(cons(sk5,sk7),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127316,c_16217]) ).
tcf(c_127378,plain,
! [X0: $i] :
( ( app(app(cons(sk5,sk7),sk7),X0) = app(cons(sk5,sk7),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127316,c_16216]) ).
tcf(c_127379,plain,
! [X0: $i] :
( ( app(app(cons(sk5,sk7),sk4),X0) = app(cons(sk5,sk7),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127316,c_16215]) ).
tcf(c_127380,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk5,sk7))) = app(cons(X1,X0),cons(sk5,sk7)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127316,c_404]) ).
tcf(c_127381,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk5,sk7)),X0) = app(X1,app(cons(sk5,sk7),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127316,c_396]) ).
tcf(c_127382,plain,
! [X0: $i] :
( ( cons(sk5,sk7) = nil )
| ( app(tl(cons(sk5,sk7)),X0) = tl(app(cons(sk5,sk7),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127316,c_380]) ).
tcf(c_127383,plain,
! [X0: $i] :
( ( cons(sk5,sk7) = nil )
| ( hd(app(cons(sk5,sk7),X0)) = hd(cons(sk5,sk7)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127316,c_370]) ).
tcf(c_127384,plain,
hd(app(iPr_def_12,cons(sk5,sk7))) = sk5,
inference(superposition,[status(thm)],[c_127316,c_11944]) ).
tcf(c_127385,plain,
cons(sk5,app(cons(sk5,sk7),sk7)) = app(cons(sk5,cons(sk5,sk7)),sk7),
inference(superposition,[status(thm)],[c_127316,c_122889]) ).
tcf(c_127386,plain,
hd(app(iPr_def_14,cons(sk5,sk7))) = sk6,
inference(superposition,[status(thm)],[c_127316,c_11940]) ).
tcf(c_127387,plain,
hd(cons(skac2,cons(sk5,sk7))) = skac2,
inference(superposition,[status(thm)],[c_127316,c_10021]) ).
tcf(c_127388,plain,
hd(cons(skac3,cons(sk5,sk7))) = skac3,
inference(superposition,[status(thm)],[c_127316,c_10020]) ).
tcf(c_127389,plain,
tl(cons(skac2,cons(sk5,sk7))) = cons(sk5,sk7),
inference(superposition,[status(thm)],[c_127316,c_9891]) ).
tcf(c_127390,plain,
cons(sk6,app(cons(sk5,sk7),sk4)) = app(cons(sk6,cons(sk5,sk7)),sk4),
inference(superposition,[status(thm)],[c_127316,c_64778]) ).
tcf(c_127391,plain,
cons(sk5,app(cons(sk5,sk7),sk4)) = app(cons(sk5,cons(sk5,sk7)),sk4),
inference(superposition,[status(thm)],[c_127316,c_64777]) ).
tcf(c_127392,plain,
tl(cons(skac3,cons(sk5,sk7))) = cons(sk5,sk7),
inference(superposition,[status(thm)],[c_127316,c_9890]) ).
tcf(c_127393,plain,
app(app(sk8,sk8),cons(sk5,sk7)) = app(sk8,app(sk8,cons(sk5,sk7))),
inference(superposition,[status(thm)],[c_127316,c_56349]) ).
tcf(c_127394,plain,
app(app(sk7,sk8),cons(sk5,sk7)) = app(sk7,app(sk8,cons(sk5,sk7))),
inference(superposition,[status(thm)],[c_127316,c_56348]) ).
tcf(c_127395,plain,
app(app(sk4,sk8),cons(sk5,sk7)) = app(sk4,app(sk8,cons(sk5,sk7))),
inference(superposition,[status(thm)],[c_127316,c_56347]) ).
tcf(c_127396,plain,
app(app(sk8,sk7),cons(sk5,sk7)) = app(sk8,app(sk7,cons(sk5,sk7))),
inference(superposition,[status(thm)],[c_127316,c_45540]) ).
tcf(c_127397,plain,
app(app(sk7,sk7),cons(sk5,sk7)) = app(sk7,app(sk7,cons(sk5,sk7))),
inference(superposition,[status(thm)],[c_127316,c_45539]) ).
tcf(c_127398,plain,
app(app(sk4,sk7),cons(sk5,sk7)) = app(sk4,app(sk7,cons(sk5,sk7))),
inference(superposition,[status(thm)],[c_127316,c_45538]) ).
tcf(c_127399,plain,
app(app(sk8,sk4),cons(sk5,sk7)) = app(sk8,app(sk4,cons(sk5,sk7))),
inference(superposition,[status(thm)],[c_127316,c_37633]) ).
tcf(c_127400,plain,
app(app(sk7,sk4),cons(sk5,sk7)) = app(sk7,app(sk4,cons(sk5,sk7))),
inference(superposition,[status(thm)],[c_127316,c_37632]) ).
tcf(c_127401,plain,
app(app(sk4,sk4),cons(sk5,sk7)) = app(sk4,app(sk4,cons(sk5,sk7))),
inference(superposition,[status(thm)],[c_127316,c_37631]) ).
tcf(c_127402,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk5,sk7)) = tl(app(sk8,cons(sk5,sk7))) ) ),
inference(superposition,[status(thm)],[c_127316,c_14611]) ).
tcf(c_127403,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk5,sk7)) = tl(app(sk7,cons(sk5,sk7))) ) ),
inference(superposition,[status(thm)],[c_127316,c_14610]) ).
tcf(c_127404,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk5,sk7)) = tl(app(sk4,cons(sk5,sk7))) ) ),
inference(superposition,[status(thm)],[c_127316,c_14609]) ).
tcf(c_127405,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk5,sk7))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_127316,c_11903]) ).
tcf(c_127406,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk5,sk7))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_127316,c_11902]) ).
tcf(c_127407,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk5,sk7))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_127316,c_11901]) ).
tcf(c_127408,plain,
( cyclefreeP(cons(sk5,sk7))
| ( app(app(skaf51(cons(sk5,sk7)),cons(skaf49(cons(sk5,sk7)),skaf52(cons(sk5,sk7)))),cons(skaf50(cons(sk5,sk7)),skaf53(cons(sk5,sk7)))) = cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_127316,c_414]) ).
tcf(c_127409,plain,
( totalorderP(cons(sk5,sk7))
| ( app(app(skaf56(cons(sk5,sk7)),cons(skaf54(cons(sk5,sk7)),skaf57(cons(sk5,sk7)))),cons(skaf55(cons(sk5,sk7)),skaf58(cons(sk5,sk7)))) = cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_127316,c_413]) ).
tcf(c_127410,plain,
( strictorderP(cons(sk5,sk7))
| ( app(app(skaf61(cons(sk5,sk7)),cons(skaf59(cons(sk5,sk7)),skaf62(cons(sk5,sk7)))),cons(skaf60(cons(sk5,sk7)),skaf63(cons(sk5,sk7)))) = cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_127316,c_412]) ).
tcf(c_127411,plain,
( totalorderedP(cons(sk5,sk7))
| ( app(app(skaf66(cons(sk5,sk7)),cons(skaf64(cons(sk5,sk7)),skaf67(cons(sk5,sk7)))),cons(skaf65(cons(sk5,sk7)),skaf68(cons(sk5,sk7)))) = cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_127316,c_411]) ).
tcf(c_127412,plain,
( strictorderedP(cons(sk5,sk7))
| ( app(app(skaf71(cons(sk5,sk7)),cons(skaf69(cons(sk5,sk7)),skaf72(cons(sk5,sk7)))),cons(skaf70(cons(sk5,sk7)),skaf73(cons(sk5,sk7)))) = cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_127316,c_410]) ).
tcf(c_127413,plain,
( duplicatefreeP(cons(sk5,sk7))
| ( app(app(skaf75(cons(sk5,sk7)),cons(skaf74(cons(sk5,sk7)),skaf76(cons(sk5,sk7)))),cons(skaf74(cons(sk5,sk7)),skaf77(cons(sk5,sk7)))) = cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_127316,c_409]) ).
tcf(c_127414,plain,
( equalelemsP(cons(sk5,sk7))
| ( app(skaf80(cons(sk5,sk7)),cons(skaf78(cons(sk5,sk7)),cons(skaf79(cons(sk5,sk7)),skaf81(cons(sk5,sk7))))) = cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_127316,c_389]) ).
tcf(c_127415,plain,
hd(cons(sk6,cons(sk5,sk7))) = sk6,
inference(superposition,[status(thm)],[c_127316,c_10017]) ).
tcf(c_127416,plain,
( ( cons(sk5,sk7) = nil )
| ( cons(skaf83(cons(sk5,sk7)),skaf82(cons(sk5,sk7))) = cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_127316,c_356]) ).
tcf(c_127417,plain,
( ( cons(sk5,sk7) = nil )
| ( cons(hd(cons(sk5,sk7)),tl(cons(sk5,sk7))) = cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_127316,c_351]) ).
tcf(c_127418,plain,
hd(cons(sk5,cons(sk5,sk7))) = sk5,
inference(superposition,[status(thm)],[c_127316,c_10016]) ).
tcf(c_127419,plain,
tl(cons(sk6,cons(sk5,sk7))) = cons(sk5,sk7),
inference(superposition,[status(thm)],[c_127316,c_9887]) ).
tcf(c_127420,plain,
tl(cons(sk5,cons(sk5,sk7))) = cons(sk5,sk7),
inference(superposition,[status(thm)],[c_127316,c_9886]) ).
tcf(c_127421,plain,
( duplicatefreeP(cons(sk5,sk7))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_127316,c_6471]) ).
tcf(c_127422,plain,
app(nil,cons(sk5,sk7)) = cons(sk5,sk7),
inference(superposition,[status(thm)],[c_127316,c_321]) ).
tcf(c_127423,plain,
app(cons(sk5,sk7),nil) = cons(sk5,sk7),
inference(superposition,[status(thm)],[c_127316,c_320]) ).
tcf(c_127432,plain,
cons(sk5,cons(sk5,app(sk7,sk4))) = app(cons(sk5,cons(sk5,sk7)),sk4),
inference(light_normalisation,[status(thm)],[c_127391,c_64868]) ).
tcf(c_127433,plain,
cons(sk6,cons(sk5,app(sk7,sk4))) = app(cons(sk6,cons(sk5,sk7)),sk4),
inference(light_normalisation,[status(thm)],[c_127390,c_64868]) ).
tcf(c_127434,plain,
cons(sk5,cons(sk5,app(sk7,sk7))) = app(cons(sk5,cons(sk5,sk7)),sk7),
inference(light_normalisation,[status(thm)],[c_127385,c_123079]) ).
tcf(c_127441,plain,
! [X0: $i] :
( ( app(cons(sk5,app(sk7,sk4)),X0) = app(cons(sk5,sk7),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_127379,c_64868]) ).
tcf(c_127444,plain,
! [X0: $i] :
( ( app(cons(sk5,app(sk7,sk7)),X0) = app(cons(sk5,sk7),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_127378,c_123079]) ).
tcf(c_127452,plain,
! [X0: $i] :
( ( cons(sk5,sk7) = nil )
| ( hd(app(cons(sk5,sk7),X0)) = sk5 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_127383,c_10650]) ).
tcf(c_127462,plain,
! [X0: $i] :
( ( cons(sk5,sk7) = nil )
| ( tl(app(cons(sk5,sk7),X0)) = app(sk7,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_127382,c_10182]) ).
tcf(c_127550,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ rearsegP(X0,cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127317,c_400]) ).
tcf(c_127551,plain,
( ( app(skaf46(cons(sk5,sk7),sk7),sk7) = cons(sk5,sk7) )
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127317,c_378]) ).
tcf(c_127552,plain,
( ( cons(sk5,sk7) = sk7 )
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk7))
| ~ rearsegP(sk7,cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127317,c_375]) ).
tcf(c_127553,plain,
( ( cons(sk5,sk7) = sk7 )
| ~ rearsegP(sk7,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127552,c_6483,c_127316]) ).
tcf(c_127556,plain,
app(skaf46(cons(sk5,sk7),sk7),sk7) = cons(sk5,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_127551,c_6483,c_127316]) ).
tcf(c_127557,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127550,c_6483,c_127316]) ).
tcf(c_127562,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(X0,cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127318,c_401]) ).
tcf(c_127563,plain,
( ( app(iPr_def_12,skaf45(cons(sk5,sk7),iPr_def_12)) = cons(sk5,sk7) )
| ~ ssList(iPr_def_12)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127318,c_379]) ).
tcf(c_127564,plain,
( ( cons(sk5,sk7) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127318,c_376]) ).
tcf(c_127566,plain,
( ( cons(sk5,sk7) = iPr_def_12 )
| ~ frontsegP(iPr_def_12,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127564,c_9489,c_127316]) ).
tcf(c_127569,plain,
app(iPr_def_12,skaf45(cons(sk5,sk7),iPr_def_12)) = cons(sk5,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_127563,c_9489,c_127316]) ).
tcf(c_127570,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127562,c_9489,c_127316]) ).
tcf(c_127576,plain,
( ssList(cons(sk5,app(sk8,sk7)))
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_123080,c_332]) ).
tcf(c_127577,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk8,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ~ ssList(app(app(cons(sk5,sk8),sk7),X0)) ),
inference(superposition,[status(thm)],[c_123080,c_420]) ).
tcf(c_127578,plain,
! [X0: $i] :
( ( cons(sk5,sk8) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_123080,c_398]) ).
tcf(c_127580,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(cons(sk5,sk8),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk8))
| ~ memberP(cons(sk5,app(sk8,sk7)),X0) ),
inference(superposition,[status(thm)],[c_123080,c_405]) ).
tcf(c_127581,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_123080,c_366]) ).
tcf(c_127582,plain,
( ( cons(sk5,sk8) = nil )
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_123080,c_365]) ).
tcf(c_127583,plain,
( frontsegP(cons(sk5,app(sk8,sk7)),cons(sk5,sk8))
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_123080,c_808]) ).
tcf(c_127584,plain,
( rearsegP(cons(sk5,app(sk8,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_123080,c_807]) ).
tcf(c_127585,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_123080,c_388]) ).
tcf(c_127586,plain,
! [X0: $i] :
( rearsegP(cons(sk5,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_123080,c_383]) ).
tcf(c_127587,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ( app(cons(sk5,sk8),X0) != cons(sk5,app(sk8,sk7)) ) ),
inference(superposition,[status(thm)],[c_123080,c_397]) ).
tcf(c_127588,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk8))
| ~ memberP(cons(sk5,sk8),X0) ),
inference(superposition,[status(thm)],[c_123080,c_387]) ).
tcf(c_127589,plain,
! [X0: $i] :
( frontsegP(cons(sk5,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ~ frontsegP(cons(sk5,sk8),X0) ),
inference(superposition,[status(thm)],[c_123080,c_384]) ).
tcf(c_127590,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,app(sk8,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_123080,c_419]) ).
tcf(c_127591,plain,
( ( cons(sk5,sk8) = iPr_def_14 )
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_123080,c_51335]) ).
tcf(c_127592,plain,
( ( cons(sk5,sk8) = nil )
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_123080,c_17625]) ).
tcf(c_127593,plain,
( ssList(cons(sk5,app(sk8,sk7)))
| ~ ssList(cons(sk5,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127576,c_6483]) ).
tcf(c_127596,plain,
( rearsegP(cons(sk5,app(sk8,sk7)),sk7)
| ~ ssList(cons(sk5,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127584,c_6483]) ).
tcf(c_127599,plain,
( frontsegP(cons(sk5,app(sk8,sk7)),cons(sk5,sk8))
| ~ ssList(cons(sk5,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127583,c_6483]) ).
tcf(c_127605,plain,
( ( sk7 = nil )
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127581,c_6483]) ).
tcf(c_127612,plain,
! [X0: $i] :
( rearsegP(cons(sk5,app(sk8,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127586,c_6483]) ).
tcf(c_127617,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk8,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127585,c_6483]) ).
tcf(c_127622,plain,
( ( cons(sk5,sk8) = nil )
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127582,c_6483]) ).
tcf(c_127626,plain,
! [X0: $i] :
( frontsegP(cons(sk5,app(sk8,sk7)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ~ frontsegP(cons(sk5,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127589,c_6483]) ).
tcf(c_127631,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk8,sk7)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk8))
| ~ memberP(cons(sk5,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127588,c_6483]) ).
tcf(c_127636,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,app(sk8,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127590,c_6483]) ).
tcf(c_127642,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(cons(sk5,sk8),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk8))
| ~ memberP(cons(sk5,app(sk8,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127580,c_6483]) ).
tcf(c_127648,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ( app(cons(sk5,sk8),X0) != cons(sk5,app(sk8,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127587,c_6483]) ).
tcf(c_127653,plain,
! [X0: $i] :
( ( cons(sk5,sk8) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127578,c_6483]) ).
tcf(c_127658,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk8,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ~ ssList(app(cons(sk5,app(sk8,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_127577,c_123080]) ).
tcf(c_127659,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk8,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ~ ssList(app(cons(sk5,app(sk8,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127658,c_6483]) ).
tcf(c_127806,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk8,sk7)),sk8),X0) = app(cons(sk5,app(sk8,sk7)),app(sk8,X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_16217]) ).
tcf(c_127807,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk8,sk7)),sk7),X0) = app(cons(sk5,app(sk8,sk7)),app(sk7,X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_16216]) ).
tcf(c_127808,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk8,sk7)),sk4),X0) = app(cons(sk5,app(sk8,sk7)),app(sk4,X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_16215]) ).
tcf(c_127809,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk5,app(sk8,sk7)))) = app(cons(X1,X0),cons(sk5,app(sk8,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_404]) ).
tcf(c_127810,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk5,app(sk8,sk7))),X0) = app(X1,app(cons(sk5,app(sk8,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_396]) ).
tcf(c_127811,plain,
! [X0: $i] :
( ( cons(sk5,app(sk8,sk7)) = nil )
| ( app(tl(cons(sk5,app(sk8,sk7))),X0) = tl(app(cons(sk5,app(sk8,sk7)),X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_380]) ).
tcf(c_127812,plain,
! [X0: $i] :
( ( cons(sk5,app(sk8,sk7)) = nil )
| ( hd(app(cons(sk5,app(sk8,sk7)),X0)) = hd(cons(sk5,app(sk8,sk7))) )
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_370]) ).
tcf(c_127813,plain,
( ( hd(app(iPr_def_12,cons(sk5,app(sk8,sk7)))) = sk5 )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_11944]) ).
tcf(c_127814,plain,
( ( cons(sk5,app(cons(sk5,app(sk8,sk7)),sk7)) = app(cons(sk5,cons(sk5,app(sk8,sk7))),sk7) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_122889]) ).
tcf(c_127815,plain,
( ( hd(app(iPr_def_14,cons(sk5,app(sk8,sk7)))) = sk6 )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_11940]) ).
tcf(c_127816,plain,
( ( hd(cons(skac2,cons(sk5,app(sk8,sk7)))) = skac2 )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_10021]) ).
tcf(c_127817,plain,
( ( hd(cons(skac3,cons(sk5,app(sk8,sk7)))) = skac3 )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_10020]) ).
tcf(c_127818,plain,
( ( tl(cons(skac2,cons(sk5,app(sk8,sk7)))) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_9891]) ).
tcf(c_127819,plain,
( ( cons(sk6,app(cons(sk5,app(sk8,sk7)),sk4)) = app(cons(sk6,cons(sk5,app(sk8,sk7))),sk4) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_64778]) ).
tcf(c_127820,plain,
( ( cons(sk5,app(cons(sk5,app(sk8,sk7)),sk4)) = app(cons(sk5,cons(sk5,app(sk8,sk7))),sk4) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_64777]) ).
tcf(c_127821,plain,
( ( tl(cons(skac3,cons(sk5,app(sk8,sk7)))) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_9890]) ).
tcf(c_127822,plain,
( ( app(app(sk8,sk8),cons(sk5,app(sk8,sk7))) = app(sk8,app(sk8,cons(sk5,app(sk8,sk7)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_56349]) ).
tcf(c_127823,plain,
( ( app(app(sk7,sk8),cons(sk5,app(sk8,sk7))) = app(sk7,app(sk8,cons(sk5,app(sk8,sk7)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_56348]) ).
tcf(c_127824,plain,
( ( app(app(sk4,sk8),cons(sk5,app(sk8,sk7))) = app(sk4,app(sk8,cons(sk5,app(sk8,sk7)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_56347]) ).
tcf(c_127825,plain,
( ( app(app(sk8,sk7),cons(sk5,app(sk8,sk7))) = app(sk8,app(sk7,cons(sk5,app(sk8,sk7)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_45540]) ).
tcf(c_127826,plain,
( ( app(app(sk7,sk7),cons(sk5,app(sk8,sk7))) = app(sk7,app(sk7,cons(sk5,app(sk8,sk7)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_45539]) ).
tcf(c_127827,plain,
( ( app(app(sk4,sk7),cons(sk5,app(sk8,sk7))) = app(sk4,app(sk7,cons(sk5,app(sk8,sk7)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_45538]) ).
tcf(c_127828,plain,
( ( app(app(sk8,sk4),cons(sk5,app(sk8,sk7))) = app(sk8,app(sk4,cons(sk5,app(sk8,sk7)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_37633]) ).
tcf(c_127829,plain,
( ( app(app(sk7,sk4),cons(sk5,app(sk8,sk7))) = app(sk7,app(sk4,cons(sk5,app(sk8,sk7)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_37632]) ).
tcf(c_127830,plain,
( ( app(app(sk4,sk4),cons(sk5,app(sk8,sk7))) = app(sk4,app(sk4,cons(sk5,app(sk8,sk7)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_37631]) ).
tcf(c_127831,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk5,app(sk8,sk7))) = tl(app(sk8,cons(sk5,app(sk8,sk7)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_14611]) ).
tcf(c_127832,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk5,app(sk8,sk7))) = tl(app(sk7,cons(sk5,app(sk8,sk7)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_14610]) ).
tcf(c_127833,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk5,app(sk8,sk7))) = tl(app(sk4,cons(sk5,app(sk8,sk7)))) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_14609]) ).
tcf(c_127834,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk5,app(sk8,sk7)))) = hd(sk8) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_11903]) ).
tcf(c_127835,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk5,app(sk8,sk7)))) = hd(sk7) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_11902]) ).
tcf(c_127836,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk5,app(sk8,sk7)))) = hd(sk4) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_11901]) ).
tcf(c_127837,plain,
( cyclefreeP(cons(sk5,app(sk8,sk7)))
| ( app(app(skaf51(cons(sk5,app(sk8,sk7))),cons(skaf49(cons(sk5,app(sk8,sk7))),skaf52(cons(sk5,app(sk8,sk7))))),cons(skaf50(cons(sk5,app(sk8,sk7))),skaf53(cons(sk5,app(sk8,sk7))))) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_414]) ).
tcf(c_127838,plain,
( totalorderP(cons(sk5,app(sk8,sk7)))
| ( app(app(skaf56(cons(sk5,app(sk8,sk7))),cons(skaf54(cons(sk5,app(sk8,sk7))),skaf57(cons(sk5,app(sk8,sk7))))),cons(skaf55(cons(sk5,app(sk8,sk7))),skaf58(cons(sk5,app(sk8,sk7))))) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_413]) ).
tcf(c_127839,plain,
( strictorderP(cons(sk5,app(sk8,sk7)))
| ( app(app(skaf61(cons(sk5,app(sk8,sk7))),cons(skaf59(cons(sk5,app(sk8,sk7))),skaf62(cons(sk5,app(sk8,sk7))))),cons(skaf60(cons(sk5,app(sk8,sk7))),skaf63(cons(sk5,app(sk8,sk7))))) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_412]) ).
tcf(c_127840,plain,
( totalorderedP(cons(sk5,app(sk8,sk7)))
| ( app(app(skaf66(cons(sk5,app(sk8,sk7))),cons(skaf64(cons(sk5,app(sk8,sk7))),skaf67(cons(sk5,app(sk8,sk7))))),cons(skaf65(cons(sk5,app(sk8,sk7))),skaf68(cons(sk5,app(sk8,sk7))))) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_411]) ).
tcf(c_127841,plain,
( strictorderedP(cons(sk5,app(sk8,sk7)))
| ( app(app(skaf71(cons(sk5,app(sk8,sk7))),cons(skaf69(cons(sk5,app(sk8,sk7))),skaf72(cons(sk5,app(sk8,sk7))))),cons(skaf70(cons(sk5,app(sk8,sk7))),skaf73(cons(sk5,app(sk8,sk7))))) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_410]) ).
tcf(c_127842,plain,
( duplicatefreeP(cons(sk5,app(sk8,sk7)))
| ( app(app(skaf75(cons(sk5,app(sk8,sk7))),cons(skaf74(cons(sk5,app(sk8,sk7))),skaf76(cons(sk5,app(sk8,sk7))))),cons(skaf74(cons(sk5,app(sk8,sk7))),skaf77(cons(sk5,app(sk8,sk7))))) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_409]) ).
tcf(c_127843,plain,
( equalelemsP(cons(sk5,app(sk8,sk7)))
| ( app(skaf80(cons(sk5,app(sk8,sk7))),cons(skaf78(cons(sk5,app(sk8,sk7))),cons(skaf79(cons(sk5,app(sk8,sk7))),skaf81(cons(sk5,app(sk8,sk7)))))) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_389]) ).
tcf(c_127844,plain,
( ( hd(cons(sk6,cons(sk5,app(sk8,sk7)))) = sk6 )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_10017]) ).
tcf(c_127845,plain,
( ( cons(sk5,app(sk8,sk7)) = nil )
| ( cons(skaf83(cons(sk5,app(sk8,sk7))),skaf82(cons(sk5,app(sk8,sk7)))) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_356]) ).
tcf(c_127846,plain,
( ( cons(sk5,app(sk8,sk7)) = nil )
| ( cons(hd(cons(sk5,app(sk8,sk7))),tl(cons(sk5,app(sk8,sk7)))) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_351]) ).
tcf(c_127847,plain,
( ( hd(cons(sk5,cons(sk5,app(sk8,sk7)))) = sk5 )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_10016]) ).
tcf(c_127848,plain,
( ( tl(cons(sk6,cons(sk5,app(sk8,sk7)))) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_9887]) ).
tcf(c_127849,plain,
( ( tl(cons(sk5,cons(sk5,app(sk8,sk7)))) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_9886]) ).
tcf(c_127850,plain,
( duplicatefreeP(cons(sk5,app(sk8,sk7)))
| ~ iPr_def_11
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_6471]) ).
tcf(c_127851,plain,
( ( app(nil,cons(sk5,app(sk8,sk7))) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_321]) ).
tcf(c_127852,plain,
( ( app(cons(sk5,app(sk8,sk7)),nil) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_320]) ).
tcf(c_128084,plain,
rearsegP(cons(sk5,app(sk7,sk7)),sk7),
inference(global_subsumption_just,[status(thm)],[c_125530,c_125530,c_127316]) ).
tcf(c_128086,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk7,sk7)))
| ~ rearsegP(X0,cons(sk5,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_128084,c_400]) ).
tcf(c_128087,plain,
( ( app(skaf46(cons(sk5,app(sk7,sk7)),sk7),sk7) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(sk7)
| ~ ssList(cons(sk5,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_128084,c_378]) ).
tcf(c_128088,plain,
( ( cons(sk5,app(sk7,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(cons(sk5,app(sk7,sk7)))
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_128084,c_375]) ).
tcf(c_128089,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk7,sk7)))
| ~ rearsegP(X0,cons(sk5,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128086,c_6483]) ).
tcf(c_128094,plain,
( ( cons(sk5,app(sk7,sk7)) = sk7 )
| ~ ssList(cons(sk5,app(sk7,sk7)))
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128088,c_6483]) ).
tcf(c_128098,plain,
( ( app(skaf46(cons(sk5,app(sk7,sk7)),sk7),sk7) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(cons(sk5,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128087,c_6483]) ).
tcf(c_128108,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X1)
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(X0,cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127325,c_401]) ).
tcf(c_128109,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk5,sk7),X0)) = cons(sk5,sk7) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127325,c_379]) ).
tcf(c_128110,plain,
! [X0: $i] :
( ( cons(sk5,sk7) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0)
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(X0,cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127325,c_376]) ).
tcf(c_128111,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk5 )
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_127325,c_423]) ).
tcf(c_128112,plain,
! [X0: $i,X1: $i] :
( frontsegP(sk7,X1)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_127325,c_421]) ).
tcf(c_128113,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127325,c_15594]) ).
tcf(c_128114,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127325,c_28779]) ).
tcf(c_128115,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127325,c_26336]) ).
tcf(c_128118,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_127325,c_75356]) ).
tcf(c_128119,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_127325,c_75336]) ).
tcf(c_128120,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_127325,c_75316]) ).
tcf(c_128121,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_127325,c_84010]) ).
tcf(c_128122,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_127325,c_83991]) ).
tcf(c_128123,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_127325,c_82977]) ).
tcf(c_128124,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_127325,c_84849]) ).
tcf(c_128125,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_127325,c_84050]) ).
tcf(c_128126,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_127325,c_84030]) ).
tcf(c_128127,plain,
( frontsegP(cons(sk5,sk7),sk4)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(iPr_def_12,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_127325,c_92800]) ).
tcf(c_128128,plain,
( frontsegP(cons(sk5,sk7),sk4)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_127325,c_89322]) ).
tcf(c_128129,plain,
( frontsegP(cons(sk5,sk7),sk4)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(iPr_def_12,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_127325,c_91606]) ).
tcf(c_128130,plain,
( frontsegP(cons(sk5,sk7),sk4)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(iPr_def_12,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_127325,c_91570]) ).
tcf(c_128131,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(iPr_def_12,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_127325,c_115687]) ).
tcf(c_128132,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_127325,c_112396]) ).
tcf(c_128133,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(iPr_def_12,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_127325,c_115675]) ).
tcf(c_128134,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(iPr_def_12,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_127325,c_114631]) ).
tcf(c_128135,plain,
( frontsegP(cons(sk5,sk7),sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_127325,c_122728]) ).
tcf(c_128139,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128115,c_9020,c_127316]) ).
tcf(c_128142,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128114,c_24748,c_127316]) ).
tcf(c_128145,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128113,c_9527,c_127316]) ).
tcf(c_128148,plain,
( frontsegP(cons(sk5,sk7),sk8)
| ~ frontsegP(iPr_def_12,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128135,c_112727,c_127316]) ).
tcf(c_128151,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_12,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128132,c_89458,c_127316]) ).
tcf(c_128154,plain,
( frontsegP(cons(sk5,sk7),sk4)
| ~ frontsegP(iPr_def_12,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128128,c_79152,c_127316]) ).
tcf(c_128157,plain,
! [X0: $i] :
( ( cons(sk5,sk7) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0)
| ~ frontsegP(X0,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128110,c_127316]) ).
tcf(c_128162,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk5,sk7),X0)) = cons(sk5,sk7) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128109,c_127316]) ).
tcf(c_128166,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X1)
| ~ frontsegP(X0,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128108,c_127316]) ).
tcf(c_128172,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_12,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128134,c_127316,c_89535]) ).
tcf(c_128175,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_12,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128133,c_127316,c_89538]) ).
tcf(c_128178,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_12,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128131,c_127316,c_89541]) ).
tcf(c_128181,plain,
( frontsegP(cons(sk5,sk7),sk4)
| ~ frontsegP(iPr_def_12,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128130,c_127316,c_79220]) ).
tcf(c_128184,plain,
( frontsegP(cons(sk5,sk7),sk4)
| ~ frontsegP(iPr_def_12,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128129,c_127316,c_79223]) ).
tcf(c_128187,plain,
( frontsegP(cons(sk5,sk7),sk4)
| ~ frontsegP(iPr_def_12,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128127,c_127316,c_79226]) ).
tcf(c_128190,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(iPr_def_12,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128126,c_28938,c_127316]) ).
tcf(c_128194,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(iPr_def_12,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128125,c_28938,c_127316]) ).
tcf(c_128198,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(iPr_def_12,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128124,c_28938,c_127316]) ).
tcf(c_128202,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(iPr_def_12,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128123,c_28940,c_127316]) ).
tcf(c_128206,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(iPr_def_12,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128122,c_28940,c_127316]) ).
tcf(c_128210,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(iPr_def_12,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128121,c_28940,c_127316]) ).
tcf(c_128214,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(iPr_def_12,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128120,c_28942,c_127316]) ).
tcf(c_128218,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(iPr_def_12,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128119,c_28942,c_127316]) ).
tcf(c_128222,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(iPr_def_12,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128118,c_28942,c_127316]) ).
tcf(c_128226,plain,
! [X0: $i,X1: $i] :
( frontsegP(sk7,X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128112,c_6485,c_6483]) ).
tcf(c_128436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf77(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf77(X1)))
| ~ ssList(skaf82(skaf77(X1)))
| ~ leq(X2,skaf83(skaf77(X1)))
| ~ leq(skaf83(skaf77(X1)),X2)
| ~ ssList(app(app(X0,skaf77(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf77(X1)),skaf82(skaf77(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10989,c_432]) ).
tcf(c_128437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf77(X1)))
| leq(skaf83(skaf77(X1)),X2)
| ( skaf77(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf77(X1)))
| ~ ssList(skaf82(skaf77(X1)))
| ~ ssList(app(app(X0,skaf77(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf77(X1)),skaf82(skaf77(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10989,c_431]) ).
tcf(c_128438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf77(X1)))
| lt(skaf83(skaf77(X1)),X2)
| ( skaf77(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf77(X1)))
| ~ ssList(skaf82(skaf77(X1)))
| ~ ssList(app(app(X0,skaf77(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf77(X1)),skaf82(skaf77(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10989,c_430]) ).
tcf(c_128439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf77(X1)),X2)
| ( skaf77(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf77(X1)))
| ~ ssList(skaf82(skaf77(X1)))
| ~ ssList(app(app(X0,skaf77(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf77(X1)),skaf82(skaf77(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10989,c_429]) ).
tcf(c_128440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf77(X1)),X2)
| ( skaf77(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf77(X1)))
| ~ ssList(skaf82(skaf77(X1)))
| ~ ssList(app(app(X0,skaf77(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf77(X1)),skaf82(skaf77(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10989,c_428]) ).
tcf(c_128441,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf77(X1)))
| ~ ssList(skaf82(skaf77(X1)))
| ~ ssList(app(app(X0,skaf77(X1)),cons(skaf83(skaf77(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf77(X1)),skaf82(skaf77(X1)))),cons(skaf83(skaf77(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10989,c_426]) ).
tcf(c_128442,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf77(X1)),skaf83(skaf77(X1)))
| ( skaf77(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf77(X1)))
| ~ ssList(skaf82(skaf77(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf77(X1)),skaf82(skaf77(X1))))) ),
inference(superposition,[status(thm)],[c_10989,c_422]) ).
tcf(c_128443,plain,
! [X0: $i] :
( memberP(skaf77(X0),skaf83(skaf77(X0)))
| ( skaf77(X0) = nil )
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10989,c_385]) ).
tcf(c_128445,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( skaf82(skaf77(X0)) = nil )
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0)))
| ( skaf77(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10989,c_21847]) ).
tcf(c_128446,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( skaf82(skaf77(X0)) = nil )
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0)))
| ( skaf77(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10989,c_21842]) ).
tcf(c_128447,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( skaf83(skaf77(X0)) = sk5 )
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0)))
| ( skaf77(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10989,c_21750]) ).
tcf(c_128448,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( skaf83(skaf77(X0)) = sk6 )
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0)))
| ( skaf77(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10989,c_21745]) ).
tcf(c_128449,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( skaf83(skaf77(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf77(X0))
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10989,c_21595]) ).
tcf(c_128450,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( skaf83(skaf77(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf77(X0))
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10989,c_21590]) ).
tcf(c_128451,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( skaf83(skaf77(X0)) = sk5 )
| ~ frontsegP(skaf77(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10989,c_21585]) ).
tcf(c_128452,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( skaf83(skaf77(X0)) = sk6 )
| ~ frontsegP(skaf77(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10989,c_21580]) ).
tcf(c_128453,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf77(X0)))
| ( skaf77(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf77(X0))
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10989,c_21202]) ).
tcf(c_128454,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf77(X0)))
| ( skaf77(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf77(X0))
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10989,c_21197]) ).
tcf(c_128457,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X0) = nil )
| ( skaf83(skaf77(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0)))
| ~ frontsegP(skaf77(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10989,c_423]) ).
tcf(c_128458,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf77(X0)),X2)
| ( skaf77(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0)))
| ~ frontsegP(skaf77(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10989,c_421]) ).
tcf(c_128459,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf77(X0)),X1)
| ( skaf77(X0) = nil )
| ( skaf83(skaf77(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0)))
| ~ memberP(skaf77(X0),X1) ),
inference(superposition,[status(thm)],[c_10989,c_408]) ).
tcf(c_128460,plain,
! [X0: $i] :
( leq(skaf83(skaf77(X0)),hd(skaf82(skaf77(X0))))
| ( skaf77(X0) = nil )
| ( skaf82(skaf77(X0)) = nil )
| ~ totalorderedP(skaf77(X0))
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10989,c_382]) ).
tcf(c_128461,plain,
! [X0: $i] :
( lt(skaf83(skaf77(X0)),hd(skaf82(skaf77(X0))))
| ( skaf77(X0) = nil )
| ( skaf82(skaf77(X0)) = nil )
| ~ strictorderedP(skaf77(X0))
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10989,c_381]) ).
tcf(c_128462,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf77(X0)))
| ( skaf77(X0) = nil )
| ( skaf82(skaf77(X0)) = nil )
| ~ totalorderedP(skaf77(X0))
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10989,c_372]) ).
tcf(c_128463,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf77(X0)))
| ( skaf77(X0) = nil )
| ( skaf82(skaf77(X0)) = nil )
| ~ strictorderedP(skaf77(X0))
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0))) ),
inference(superposition,[status(thm)],[c_10989,c_371]) ).
tcf(c_128464,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0)))
| ( skaf82(skaf77(X0)) != skaf77(X0) ) ),
inference(superposition,[status(thm)],[c_10989,c_346]) ).
tcf(c_128466,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf77(X1)),X0),skaf77(X1))
| ( skaf77(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf77(X1)))
| ~ ssList(skaf82(skaf77(X1)))
| ~ frontsegP(X0,skaf82(skaf77(X1))) ),
inference(superposition,[status(thm)],[c_10989,c_425]) ).
tcf(c_128467,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X2) = nil )
| ( skaf83(skaf77(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf77(X2)))
| ~ ssList(skaf82(skaf77(X2)))
| ~ ssList(app(X0,cons(X1,skaf77(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf77(X2)),skaf82(skaf77(X2)))))) ),
inference(superposition,[status(thm)],[c_10989,c_427]) ).
tcf(c_128468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X2) = nil )
| ( skaf82(skaf77(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf77(X2)))
| ~ ssList(skaf82(skaf77(X2)))
| ( cons(X0,X1) != skaf77(X2) ) ),
inference(superposition,[status(thm)],[c_10989,c_418]) ).
tcf(c_128469,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X2) = nil )
| ( skaf83(skaf77(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf77(X2)))
| ~ ssList(skaf82(skaf77(X2)))
| ( cons(X0,X1) != skaf77(X2) ) ),
inference(superposition,[status(thm)],[c_10989,c_417]) ).
tcf(c_128470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X2) = nil )
| ( skaf83(skaf77(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf77(X2)))
| ~ ssList(skaf82(skaf77(X2)))
| ~ frontsegP(cons(X0,X1),skaf77(X2)) ),
inference(superposition,[status(thm)],[c_10989,c_423]) ).
tcf(c_128471,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf77(X2)))
| ( skaf77(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf77(X2)))
| ~ ssList(skaf82(skaf77(X2)))
| ~ frontsegP(cons(X0,X1),skaf77(X2)) ),
inference(superposition,[status(thm)],[c_10989,c_421]) ).
tcf(c_128472,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf77(X0),cons(skaf83(skaf77(X0)),X1))
| ( skaf77(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0)))
| ~ frontsegP(skaf82(skaf77(X0)),X1) ),
inference(superposition,[status(thm)],[c_10989,c_425]) ).
tcf(c_128473,plain,
! [X0: $i,X1: $i] :
( memberP(skaf77(X0),X1)
| ( skaf77(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf77(X0)))
| ~ ssList(skaf82(skaf77(X0)))
| ~ memberP(skaf82(skaf77(X0)),X1) ),
inference(superposition,[status(thm)],[c_10989,c_386]) ).
tcf(c_128474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf77(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf77(X3)))
| ~ ssList(skaf82(skaf77(X3)))
| ~ leq(X1,skaf83(skaf77(X3)))
| ~ leq(skaf83(skaf77(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf77(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf77(X3)),skaf82(skaf77(X3))))) ),
inference(superposition,[status(thm)],[c_10989,c_432]) ).
tcf(c_128475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf77(X3)))
| leq(skaf83(skaf77(X3)),X1)
| ( skaf77(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf77(X3)))
| ~ ssList(skaf82(skaf77(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf77(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf77(X3)),skaf82(skaf77(X3))))) ),
inference(superposition,[status(thm)],[c_10989,c_431]) ).
tcf(c_128476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf77(X3)))
| lt(skaf83(skaf77(X3)),X1)
| ( skaf77(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf77(X3)))
| ~ ssList(skaf82(skaf77(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf77(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf77(X3)),skaf82(skaf77(X3))))) ),
inference(superposition,[status(thm)],[c_10989,c_430]) ).
tcf(c_128477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf77(X3)))
| ( skaf77(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf77(X3)))
| ~ ssList(skaf82(skaf77(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf77(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf77(X3)),skaf82(skaf77(X3))))) ),
inference(superposition,[status(thm)],[c_10989,c_429]) ).
tcf(c_128478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf77(X3)))
| ( skaf77(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf77(X3)))
| ~ ssList(skaf82(skaf77(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf77(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf77(X3)),skaf82(skaf77(X3))))) ),
inference(superposition,[status(thm)],[c_10989,c_428]) ).
tcf(c_128479,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf77(X1)))
| ~ ssList(skaf82(skaf77(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf77(X1)),X2)),skaf77(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf77(X1)),X2)),cons(skaf83(skaf77(X1)),skaf82(skaf77(X1))))) ),
inference(superposition,[status(thm)],[c_10989,c_426]) ).
tcf(c_128480,plain,
! [X0: $i] :
( memberP(skaf77(X0),skaf83(skaf77(X0)))
| ( skaf77(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128443,c_259,c_260]) ).
tcf(c_128483,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( skaf82(skaf77(X0)) != skaf77(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128464,c_259,c_260]) ).
tcf(c_128486,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf77(X0)))
| ( skaf77(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf77(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128454,c_259,c_260]) ).
tcf(c_128490,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf77(X0)))
| ( skaf77(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf77(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128453,c_259,c_260]) ).
tcf(c_128494,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( skaf83(skaf77(X0)) = sk6 )
| ~ frontsegP(skaf77(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128452,c_259,c_260]) ).
tcf(c_128498,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( skaf83(skaf77(X0)) = sk5 )
| ~ frontsegP(skaf77(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128451,c_259,c_260]) ).
tcf(c_128502,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( skaf83(skaf77(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf77(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128450,c_259,c_260]) ).
tcf(c_128506,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( skaf83(skaf77(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf77(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128449,c_259,c_260]) ).
tcf(c_128510,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( skaf83(skaf77(X0)) = sk6 )
| ( skaf77(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128448,c_259,c_260]) ).
tcf(c_128514,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( skaf83(skaf77(X0)) = sk5 )
| ( skaf77(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128447,c_259,c_260]) ).
tcf(c_128518,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( skaf82(skaf77(X0)) = nil )
| ( skaf77(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128446,c_259,c_260]) ).
tcf(c_128522,plain,
! [X0: $i] :
( ( skaf77(X0) = nil )
| ( skaf82(skaf77(X0)) = nil )
| ( skaf77(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128445,c_259,c_260]) ).
tcf(c_128526,plain,
! [X0: $i,X1: $i] :
( memberP(skaf77(X0),X1)
| ( skaf77(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf77(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128473,c_259,c_260]) ).
tcf(c_128531,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf77(X0)))
| ( skaf77(X0) = nil )
| ( skaf82(skaf77(X0)) = nil )
| ~ strictorderedP(skaf77(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128463,c_259,c_260]) ).
tcf(c_128536,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf77(X0)))
| ( skaf77(X0) = nil )
| ( skaf82(skaf77(X0)) = nil )
| ~ totalorderedP(skaf77(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128462,c_259,c_260]) ).
tcf(c_128541,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf77(X0),cons(skaf83(skaf77(X0)),X1))
| ( skaf77(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf77(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128472,c_259,c_260]) ).
tcf(c_128546,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf77(X1)),X0),skaf77(X1))
| ( skaf77(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf77(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128466,c_259,c_260]) ).
tcf(c_128551,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf77(X2)))
| ( skaf77(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf77(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128471,c_259,c_260]) ).
tcf(c_128557,plain,
! [X0: $i] :
( lt(skaf83(skaf77(X0)),hd(skaf82(skaf77(X0))))
| ( skaf77(X0) = nil )
| ( skaf82(skaf77(X0)) = nil )
| ~ strictorderedP(skaf77(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128461,c_259,c_260]) ).
tcf(c_128562,plain,
! [X0: $i] :
( leq(skaf83(skaf77(X0)),hd(skaf82(skaf77(X0))))
| ( skaf77(X0) = nil )
| ( skaf82(skaf77(X0)) = nil )
| ~ totalorderedP(skaf77(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128460,c_259,c_260]) ).
tcf(c_128567,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf77(X0)),X2)
| ( skaf77(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf77(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128458,c_259,c_260]) ).
tcf(c_128573,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X2) = nil )
| ( skaf83(skaf77(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf77(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128470,c_259,c_260]) ).
tcf(c_128579,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf77(X0)),X1)
| ( skaf77(X0) = nil )
| ( skaf83(skaf77(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf77(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128459,c_259,c_260]) ).
tcf(c_128585,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X0) = nil )
| ( skaf83(skaf77(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf77(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128457,c_259,c_260]) ).
tcf(c_128591,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X2) = nil )
| ( skaf83(skaf77(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf77(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128469,c_259,c_260]) ).
tcf(c_128597,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X2) = nil )
| ( skaf82(skaf77(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf77(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128468,c_259,c_260]) ).
tcf(c_128603,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf77(X1)),skaf83(skaf77(X1)))
| ( skaf77(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf77(X1)),skaf82(skaf77(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128442,c_259,c_260]) ).
tcf(c_128608,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X2) = nil )
| ( skaf83(skaf77(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf77(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf77(X2)),skaf82(skaf77(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128467,c_259,c_260]) ).
tcf(c_128615,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf77(X1)),X2)),skaf77(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf77(X1)),X2)),cons(skaf83(skaf77(X1)),skaf82(skaf77(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128479,c_259,c_260]) ).
tcf(c_128621,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf77(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf77(X1)),cons(skaf83(skaf77(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf77(X1)),skaf82(skaf77(X1)))),cons(skaf83(skaf77(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128441,c_259,c_260]) ).
tcf(c_128627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf77(X3)))
| ( skaf77(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf77(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf77(X3)),skaf82(skaf77(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128478,c_259,c_260]) ).
tcf(c_128635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf77(X3)))
| ( skaf77(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf77(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf77(X3)),skaf82(skaf77(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128477,c_259,c_260]) ).
tcf(c_128643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf77(X1)),X2)
| ( skaf77(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf77(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf77(X1)),skaf82(skaf77(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128440,c_259,c_260]) ).
tcf(c_128651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf77(X1)),X2)
| ( skaf77(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf77(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf77(X1)),skaf82(skaf77(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128439,c_259,c_260]) ).
tcf(c_128659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf77(X3)))
| lt(skaf83(skaf77(X3)),X1)
| ( skaf77(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf77(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf77(X3)),skaf82(skaf77(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128476,c_259,c_260]) ).
tcf(c_128668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf77(X3)))
| leq(skaf83(skaf77(X3)),X1)
| ( skaf77(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf77(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf77(X3)),skaf82(skaf77(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128475,c_259,c_260]) ).
tcf(c_128677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf77(X1)))
| lt(skaf83(skaf77(X1)),X2)
| ( skaf77(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf77(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf77(X1)),skaf82(skaf77(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128438,c_259,c_260]) ).
tcf(c_128686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf77(X1)))
| leq(skaf83(skaf77(X1)),X2)
| ( skaf77(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf77(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf77(X1)),skaf82(skaf77(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128437,c_259,c_260]) ).
tcf(c_128695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf77(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf77(X3)))
| ~ leq(skaf83(skaf77(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf77(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf77(X3)),skaf82(skaf77(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128474,c_259,c_260]) ).
tcf(c_128704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf77(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf77(X1)))
| ~ leq(skaf83(skaf77(X1)),X2)
| ~ ssList(app(app(X0,skaf77(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf77(X1)),skaf82(skaf77(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128436,c_259,c_260]) ).
tcf(c_128903,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk7,sk7)),sk8),X0) = app(cons(sk5,app(sk7,sk7)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127364,c_16217]) ).
tcf(c_128904,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk7,sk7)),sk7),X0) = app(cons(sk5,app(sk7,sk7)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127364,c_16216]) ).
tcf(c_128905,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk7,sk7)),sk4),X0) = app(cons(sk5,app(sk7,sk7)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127364,c_16215]) ).
tcf(c_128906,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk5,app(sk7,sk7)))) = app(cons(X1,X0),cons(sk5,app(sk7,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127364,c_404]) ).
tcf(c_128907,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk5,app(sk7,sk7))),X0) = app(X1,app(cons(sk5,app(sk7,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127364,c_396]) ).
tcf(c_128908,plain,
! [X0: $i] :
( ( cons(sk5,app(sk7,sk7)) = nil )
| ( app(tl(cons(sk5,app(sk7,sk7))),X0) = tl(app(cons(sk5,app(sk7,sk7)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127364,c_380]) ).
tcf(c_128909,plain,
! [X0: $i] :
( ( cons(sk5,app(sk7,sk7)) = nil )
| ( hd(app(cons(sk5,app(sk7,sk7)),X0)) = hd(cons(sk5,app(sk7,sk7))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127364,c_370]) ).
tcf(c_128910,plain,
hd(app(iPr_def_12,cons(sk5,app(sk7,sk7)))) = sk5,
inference(superposition,[status(thm)],[c_127364,c_11944]) ).
tcf(c_128911,plain,
cons(sk5,app(cons(sk5,app(sk7,sk7)),sk7)) = app(cons(sk5,cons(sk5,app(sk7,sk7))),sk7),
inference(superposition,[status(thm)],[c_127364,c_122889]) ).
tcf(c_128912,plain,
hd(app(iPr_def_14,cons(sk5,app(sk7,sk7)))) = sk6,
inference(superposition,[status(thm)],[c_127364,c_11940]) ).
tcf(c_128913,plain,
hd(cons(skac2,cons(sk5,app(sk7,sk7)))) = skac2,
inference(superposition,[status(thm)],[c_127364,c_10021]) ).
tcf(c_128914,plain,
hd(cons(skac3,cons(sk5,app(sk7,sk7)))) = skac3,
inference(superposition,[status(thm)],[c_127364,c_10020]) ).
tcf(c_128915,plain,
tl(cons(skac2,cons(sk5,app(sk7,sk7)))) = cons(sk5,app(sk7,sk7)),
inference(superposition,[status(thm)],[c_127364,c_9891]) ).
tcf(c_128916,plain,
cons(sk6,app(cons(sk5,app(sk7,sk7)),sk4)) = app(cons(sk6,cons(sk5,app(sk7,sk7))),sk4),
inference(superposition,[status(thm)],[c_127364,c_64778]) ).
tcf(c_128917,plain,
cons(sk5,app(cons(sk5,app(sk7,sk7)),sk4)) = app(cons(sk5,cons(sk5,app(sk7,sk7))),sk4),
inference(superposition,[status(thm)],[c_127364,c_64777]) ).
tcf(c_128918,plain,
tl(cons(skac3,cons(sk5,app(sk7,sk7)))) = cons(sk5,app(sk7,sk7)),
inference(superposition,[status(thm)],[c_127364,c_9890]) ).
tcf(c_128919,plain,
app(app(sk8,sk8),cons(sk5,app(sk7,sk7))) = app(sk8,app(sk8,cons(sk5,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_127364,c_56349]) ).
tcf(c_128920,plain,
app(app(sk7,sk8),cons(sk5,app(sk7,sk7))) = app(sk7,app(sk8,cons(sk5,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_127364,c_56348]) ).
tcf(c_128921,plain,
app(app(sk4,sk8),cons(sk5,app(sk7,sk7))) = app(sk4,app(sk8,cons(sk5,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_127364,c_56347]) ).
tcf(c_128922,plain,
app(app(sk8,sk7),cons(sk5,app(sk7,sk7))) = app(sk8,app(sk7,cons(sk5,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_127364,c_45540]) ).
tcf(c_128923,plain,
app(app(sk7,sk7),cons(sk5,app(sk7,sk7))) = app(sk7,app(sk7,cons(sk5,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_127364,c_45539]) ).
tcf(c_128924,plain,
app(app(sk4,sk7),cons(sk5,app(sk7,sk7))) = app(sk4,app(sk7,cons(sk5,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_127364,c_45538]) ).
tcf(c_128925,plain,
app(app(sk8,sk4),cons(sk5,app(sk7,sk7))) = app(sk8,app(sk4,cons(sk5,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_127364,c_37633]) ).
tcf(c_128926,plain,
app(app(sk7,sk4),cons(sk5,app(sk7,sk7))) = app(sk7,app(sk4,cons(sk5,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_127364,c_37632]) ).
tcf(c_128927,plain,
app(app(sk4,sk4),cons(sk5,app(sk7,sk7))) = app(sk4,app(sk4,cons(sk5,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_127364,c_37631]) ).
tcf(c_128928,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk5,app(sk7,sk7))) = tl(app(sk8,cons(sk5,app(sk7,sk7)))) ) ),
inference(superposition,[status(thm)],[c_127364,c_14611]) ).
tcf(c_128929,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk5,app(sk7,sk7))) = tl(app(sk7,cons(sk5,app(sk7,sk7)))) ) ),
inference(superposition,[status(thm)],[c_127364,c_14610]) ).
tcf(c_128930,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk5,app(sk7,sk7))) = tl(app(sk4,cons(sk5,app(sk7,sk7)))) ) ),
inference(superposition,[status(thm)],[c_127364,c_14609]) ).
tcf(c_128931,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk5,app(sk7,sk7)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_127364,c_11903]) ).
tcf(c_128932,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk5,app(sk7,sk7)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_127364,c_11902]) ).
tcf(c_128933,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk5,app(sk7,sk7)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_127364,c_11901]) ).
tcf(c_128934,plain,
( cyclefreeP(cons(sk5,app(sk7,sk7)))
| ( app(app(skaf51(cons(sk5,app(sk7,sk7))),cons(skaf49(cons(sk5,app(sk7,sk7))),skaf52(cons(sk5,app(sk7,sk7))))),cons(skaf50(cons(sk5,app(sk7,sk7))),skaf53(cons(sk5,app(sk7,sk7))))) = cons(sk5,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_127364,c_414]) ).
tcf(c_128935,plain,
( totalorderP(cons(sk5,app(sk7,sk7)))
| ( app(app(skaf56(cons(sk5,app(sk7,sk7))),cons(skaf54(cons(sk5,app(sk7,sk7))),skaf57(cons(sk5,app(sk7,sk7))))),cons(skaf55(cons(sk5,app(sk7,sk7))),skaf58(cons(sk5,app(sk7,sk7))))) = cons(sk5,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_127364,c_413]) ).
tcf(c_128936,plain,
( strictorderP(cons(sk5,app(sk7,sk7)))
| ( app(app(skaf61(cons(sk5,app(sk7,sk7))),cons(skaf59(cons(sk5,app(sk7,sk7))),skaf62(cons(sk5,app(sk7,sk7))))),cons(skaf60(cons(sk5,app(sk7,sk7))),skaf63(cons(sk5,app(sk7,sk7))))) = cons(sk5,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_127364,c_412]) ).
tcf(c_128937,plain,
( totalorderedP(cons(sk5,app(sk7,sk7)))
| ( app(app(skaf66(cons(sk5,app(sk7,sk7))),cons(skaf64(cons(sk5,app(sk7,sk7))),skaf67(cons(sk5,app(sk7,sk7))))),cons(skaf65(cons(sk5,app(sk7,sk7))),skaf68(cons(sk5,app(sk7,sk7))))) = cons(sk5,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_127364,c_411]) ).
tcf(c_128938,plain,
( strictorderedP(cons(sk5,app(sk7,sk7)))
| ( app(app(skaf71(cons(sk5,app(sk7,sk7))),cons(skaf69(cons(sk5,app(sk7,sk7))),skaf72(cons(sk5,app(sk7,sk7))))),cons(skaf70(cons(sk5,app(sk7,sk7))),skaf73(cons(sk5,app(sk7,sk7))))) = cons(sk5,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_127364,c_410]) ).
tcf(c_128939,plain,
( duplicatefreeP(cons(sk5,app(sk7,sk7)))
| ( app(app(skaf75(cons(sk5,app(sk7,sk7))),cons(skaf74(cons(sk5,app(sk7,sk7))),skaf76(cons(sk5,app(sk7,sk7))))),cons(skaf74(cons(sk5,app(sk7,sk7))),skaf77(cons(sk5,app(sk7,sk7))))) = cons(sk5,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_127364,c_409]) ).
tcf(c_128940,plain,
( equalelemsP(cons(sk5,app(sk7,sk7)))
| ( app(skaf80(cons(sk5,app(sk7,sk7))),cons(skaf78(cons(sk5,app(sk7,sk7))),cons(skaf79(cons(sk5,app(sk7,sk7))),skaf81(cons(sk5,app(sk7,sk7)))))) = cons(sk5,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_127364,c_389]) ).
tcf(c_128941,plain,
hd(cons(sk6,cons(sk5,app(sk7,sk7)))) = sk6,
inference(superposition,[status(thm)],[c_127364,c_10017]) ).
tcf(c_128942,plain,
( ( cons(sk5,app(sk7,sk7)) = nil )
| ( cons(skaf83(cons(sk5,app(sk7,sk7))),skaf82(cons(sk5,app(sk7,sk7)))) = cons(sk5,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_127364,c_356]) ).
tcf(c_128943,plain,
( ( cons(sk5,app(sk7,sk7)) = nil )
| ( cons(hd(cons(sk5,app(sk7,sk7))),tl(cons(sk5,app(sk7,sk7)))) = cons(sk5,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_127364,c_351]) ).
tcf(c_128944,plain,
hd(cons(sk5,cons(sk5,app(sk7,sk7)))) = sk5,
inference(superposition,[status(thm)],[c_127364,c_10016]) ).
tcf(c_128945,plain,
tl(cons(sk6,cons(sk5,app(sk7,sk7)))) = cons(sk5,app(sk7,sk7)),
inference(superposition,[status(thm)],[c_127364,c_9887]) ).
tcf(c_128946,plain,
tl(cons(sk5,cons(sk5,app(sk7,sk7)))) = cons(sk5,app(sk7,sk7)),
inference(superposition,[status(thm)],[c_127364,c_9886]) ).
tcf(c_128947,plain,
( duplicatefreeP(cons(sk5,app(sk7,sk7)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_127364,c_6471]) ).
tcf(c_128948,plain,
app(nil,cons(sk5,app(sk7,sk7))) = cons(sk5,app(sk7,sk7)),
inference(superposition,[status(thm)],[c_127364,c_321]) ).
tcf(c_128949,plain,
app(cons(sk5,app(sk7,sk7)),nil) = cons(sk5,app(sk7,sk7)),
inference(superposition,[status(thm)],[c_127364,c_320]) ).
tcf(c_129075,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk7,sk4)),sk8),X0) = app(cons(sk5,app(sk7,sk4)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127367,c_16217]) ).
tcf(c_129076,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk7,sk4)),sk7),X0) = app(cons(sk5,app(sk7,sk4)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127367,c_16216]) ).
tcf(c_129077,plain,
! [X0: $i] :
( ( app(app(cons(sk5,app(sk7,sk4)),sk4),X0) = app(cons(sk5,app(sk7,sk4)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127367,c_16215]) ).
tcf(c_129078,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk5,app(sk7,sk4)))) = app(cons(X1,X0),cons(sk5,app(sk7,sk4))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127367,c_404]) ).
tcf(c_129079,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk5,app(sk7,sk4))),X0) = app(X1,app(cons(sk5,app(sk7,sk4)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127367,c_396]) ).
tcf(c_129080,plain,
! [X0: $i] :
( ( cons(sk5,app(sk7,sk4)) = nil )
| ( app(tl(cons(sk5,app(sk7,sk4))),X0) = tl(app(cons(sk5,app(sk7,sk4)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127367,c_380]) ).
tcf(c_129081,plain,
! [X0: $i] :
( ( cons(sk5,app(sk7,sk4)) = nil )
| ( hd(app(cons(sk5,app(sk7,sk4)),X0)) = hd(cons(sk5,app(sk7,sk4))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127367,c_370]) ).
tcf(c_129082,plain,
hd(app(iPr_def_12,cons(sk5,app(sk7,sk4)))) = sk5,
inference(superposition,[status(thm)],[c_127367,c_11944]) ).
tcf(c_129083,plain,
cons(sk5,app(cons(sk5,app(sk7,sk4)),sk7)) = app(cons(sk5,cons(sk5,app(sk7,sk4))),sk7),
inference(superposition,[status(thm)],[c_127367,c_122889]) ).
tcf(c_129084,plain,
hd(app(iPr_def_14,cons(sk5,app(sk7,sk4)))) = sk6,
inference(superposition,[status(thm)],[c_127367,c_11940]) ).
tcf(c_129085,plain,
hd(cons(skac2,cons(sk5,app(sk7,sk4)))) = skac2,
inference(superposition,[status(thm)],[c_127367,c_10021]) ).
tcf(c_129086,plain,
hd(cons(skac3,cons(sk5,app(sk7,sk4)))) = skac3,
inference(superposition,[status(thm)],[c_127367,c_10020]) ).
tcf(c_129087,plain,
tl(cons(skac2,cons(sk5,app(sk7,sk4)))) = cons(sk5,app(sk7,sk4)),
inference(superposition,[status(thm)],[c_127367,c_9891]) ).
tcf(c_129088,plain,
cons(sk6,app(cons(sk5,app(sk7,sk4)),sk4)) = app(cons(sk6,cons(sk5,app(sk7,sk4))),sk4),
inference(superposition,[status(thm)],[c_127367,c_64778]) ).
tcf(c_129089,plain,
cons(sk5,app(cons(sk5,app(sk7,sk4)),sk4)) = app(cons(sk5,cons(sk5,app(sk7,sk4))),sk4),
inference(superposition,[status(thm)],[c_127367,c_64777]) ).
tcf(c_129090,plain,
tl(cons(skac3,cons(sk5,app(sk7,sk4)))) = cons(sk5,app(sk7,sk4)),
inference(superposition,[status(thm)],[c_127367,c_9890]) ).
tcf(c_129091,plain,
app(app(sk8,sk8),cons(sk5,app(sk7,sk4))) = app(sk8,app(sk8,cons(sk5,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_127367,c_56349]) ).
tcf(c_129092,plain,
app(app(sk7,sk8),cons(sk5,app(sk7,sk4))) = app(sk7,app(sk8,cons(sk5,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_127367,c_56348]) ).
tcf(c_129093,plain,
app(app(sk4,sk8),cons(sk5,app(sk7,sk4))) = app(sk4,app(sk8,cons(sk5,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_127367,c_56347]) ).
tcf(c_129094,plain,
app(app(sk8,sk7),cons(sk5,app(sk7,sk4))) = app(sk8,app(sk7,cons(sk5,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_127367,c_45540]) ).
tcf(c_129095,plain,
app(app(sk7,sk7),cons(sk5,app(sk7,sk4))) = app(sk7,app(sk7,cons(sk5,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_127367,c_45539]) ).
tcf(c_129096,plain,
app(app(sk4,sk7),cons(sk5,app(sk7,sk4))) = app(sk4,app(sk7,cons(sk5,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_127367,c_45538]) ).
tcf(c_129097,plain,
app(app(sk8,sk4),cons(sk5,app(sk7,sk4))) = app(sk8,app(sk4,cons(sk5,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_127367,c_37633]) ).
tcf(c_129098,plain,
app(app(sk7,sk4),cons(sk5,app(sk7,sk4))) = app(sk7,app(sk4,cons(sk5,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_127367,c_37632]) ).
tcf(c_129099,plain,
app(app(sk4,sk4),cons(sk5,app(sk7,sk4))) = app(sk4,app(sk4,cons(sk5,app(sk7,sk4)))),
inference(superposition,[status(thm)],[c_127367,c_37631]) ).
tcf(c_129100,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk5,app(sk7,sk4))) = tl(app(sk8,cons(sk5,app(sk7,sk4)))) ) ),
inference(superposition,[status(thm)],[c_127367,c_14611]) ).
tcf(c_129101,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk5,app(sk7,sk4))) = tl(app(sk7,cons(sk5,app(sk7,sk4)))) ) ),
inference(superposition,[status(thm)],[c_127367,c_14610]) ).
tcf(c_129102,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk5,app(sk7,sk4))) = tl(app(sk4,cons(sk5,app(sk7,sk4)))) ) ),
inference(superposition,[status(thm)],[c_127367,c_14609]) ).
tcf(c_129103,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk5,app(sk7,sk4)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_127367,c_11903]) ).
tcf(c_129104,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk5,app(sk7,sk4)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_127367,c_11902]) ).
tcf(c_129105,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk5,app(sk7,sk4)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_127367,c_11901]) ).
tcf(c_129106,plain,
( cyclefreeP(cons(sk5,app(sk7,sk4)))
| ( app(app(skaf51(cons(sk5,app(sk7,sk4))),cons(skaf49(cons(sk5,app(sk7,sk4))),skaf52(cons(sk5,app(sk7,sk4))))),cons(skaf50(cons(sk5,app(sk7,sk4))),skaf53(cons(sk5,app(sk7,sk4))))) = cons(sk5,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_127367,c_414]) ).
tcf(c_129107,plain,
( totalorderP(cons(sk5,app(sk7,sk4)))
| ( app(app(skaf56(cons(sk5,app(sk7,sk4))),cons(skaf54(cons(sk5,app(sk7,sk4))),skaf57(cons(sk5,app(sk7,sk4))))),cons(skaf55(cons(sk5,app(sk7,sk4))),skaf58(cons(sk5,app(sk7,sk4))))) = cons(sk5,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_127367,c_413]) ).
tcf(c_129108,plain,
( strictorderP(cons(sk5,app(sk7,sk4)))
| ( app(app(skaf61(cons(sk5,app(sk7,sk4))),cons(skaf59(cons(sk5,app(sk7,sk4))),skaf62(cons(sk5,app(sk7,sk4))))),cons(skaf60(cons(sk5,app(sk7,sk4))),skaf63(cons(sk5,app(sk7,sk4))))) = cons(sk5,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_127367,c_412]) ).
tcf(c_129109,plain,
( totalorderedP(cons(sk5,app(sk7,sk4)))
| ( app(app(skaf66(cons(sk5,app(sk7,sk4))),cons(skaf64(cons(sk5,app(sk7,sk4))),skaf67(cons(sk5,app(sk7,sk4))))),cons(skaf65(cons(sk5,app(sk7,sk4))),skaf68(cons(sk5,app(sk7,sk4))))) = cons(sk5,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_127367,c_411]) ).
tcf(c_129110,plain,
( strictorderedP(cons(sk5,app(sk7,sk4)))
| ( app(app(skaf71(cons(sk5,app(sk7,sk4))),cons(skaf69(cons(sk5,app(sk7,sk4))),skaf72(cons(sk5,app(sk7,sk4))))),cons(skaf70(cons(sk5,app(sk7,sk4))),skaf73(cons(sk5,app(sk7,sk4))))) = cons(sk5,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_127367,c_410]) ).
tcf(c_129111,plain,
( duplicatefreeP(cons(sk5,app(sk7,sk4)))
| ( app(app(skaf75(cons(sk5,app(sk7,sk4))),cons(skaf74(cons(sk5,app(sk7,sk4))),skaf76(cons(sk5,app(sk7,sk4))))),cons(skaf74(cons(sk5,app(sk7,sk4))),skaf77(cons(sk5,app(sk7,sk4))))) = cons(sk5,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_127367,c_409]) ).
tcf(c_129112,plain,
( equalelemsP(cons(sk5,app(sk7,sk4)))
| ( app(skaf80(cons(sk5,app(sk7,sk4))),cons(skaf78(cons(sk5,app(sk7,sk4))),cons(skaf79(cons(sk5,app(sk7,sk4))),skaf81(cons(sk5,app(sk7,sk4)))))) = cons(sk5,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_127367,c_389]) ).
tcf(c_129113,plain,
hd(cons(sk6,cons(sk5,app(sk7,sk4)))) = sk6,
inference(superposition,[status(thm)],[c_127367,c_10017]) ).
tcf(c_129114,plain,
( ( cons(sk5,app(sk7,sk4)) = nil )
| ( cons(skaf83(cons(sk5,app(sk7,sk4))),skaf82(cons(sk5,app(sk7,sk4)))) = cons(sk5,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_127367,c_356]) ).
tcf(c_129115,plain,
( ( cons(sk5,app(sk7,sk4)) = nil )
| ( cons(hd(cons(sk5,app(sk7,sk4))),tl(cons(sk5,app(sk7,sk4)))) = cons(sk5,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_127367,c_351]) ).
tcf(c_129116,plain,
hd(cons(sk5,cons(sk5,app(sk7,sk4)))) = sk5,
inference(superposition,[status(thm)],[c_127367,c_10016]) ).
tcf(c_129117,plain,
tl(cons(sk6,cons(sk5,app(sk7,sk4)))) = cons(sk5,app(sk7,sk4)),
inference(superposition,[status(thm)],[c_127367,c_9887]) ).
tcf(c_129118,plain,
tl(cons(sk5,cons(sk5,app(sk7,sk4)))) = cons(sk5,app(sk7,sk4)),
inference(superposition,[status(thm)],[c_127367,c_9886]) ).
tcf(c_129119,plain,
( duplicatefreeP(cons(sk5,app(sk7,sk4)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_127367,c_6471]) ).
tcf(c_129120,plain,
app(nil,cons(sk5,app(sk7,sk4))) = cons(sk5,app(sk7,sk4)),
inference(superposition,[status(thm)],[c_127367,c_321]) ).
tcf(c_129121,plain,
app(cons(sk5,app(sk7,sk4)),nil) = cons(sk5,app(sk7,sk4)),
inference(superposition,[status(thm)],[c_127367,c_320]) ).
tcf(c_129130,plain,
cons(sk5,cons(sk5,app(sk7,app(sk4,sk4)))) = app(cons(sk5,cons(sk5,app(sk7,sk4))),sk4),
inference(light_normalisation,[status(thm)],[c_129089,c_89777]) ).
tcf(c_129131,plain,
cons(sk6,cons(sk5,app(sk7,app(sk4,sk4)))) = app(cons(sk6,cons(sk5,app(sk7,sk4))),sk4),
inference(light_normalisation,[status(thm)],[c_129088,c_89777]) ).
tcf(c_129132,plain,
cons(sk5,cons(sk5,app(sk7,app(sk4,sk7)))) = app(cons(sk5,cons(sk5,app(sk7,sk4))),sk7),
inference(light_normalisation,[status(thm)],[c_129083,c_123160]) ).
tcf(c_129139,plain,
! [X0: $i] :
( ( app(cons(sk5,app(sk7,app(sk4,sk4))),X0) = app(cons(sk5,app(sk7,sk4)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_129077,c_89777]) ).
tcf(c_129142,plain,
! [X0: $i] :
( ( app(cons(sk5,app(sk7,app(sk4,sk7))),X0) = app(cons(sk5,app(sk7,sk4)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_129076,c_123160]) ).
tcf(c_129153,plain,
! [X0: $i] :
( ( cons(sk5,app(sk7,sk4)) = nil )
| ( hd(app(cons(sk5,app(sk7,sk4)),X0)) = sk5 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_129081,c_89763]) ).
tcf(c_129160,plain,
! [X0: $i] :
( ( cons(sk5,app(sk7,sk4)) = nil )
| ( tl(app(cons(sk5,app(sk7,sk4)),X0)) = app(app(sk7,sk4),X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_129080,c_89765]) ).
tcf(c_129347,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(X0,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_127366,c_400]) ).
tcf(c_129348,plain,
( ( app(skaf46(cons(sk5,app(sk7,sk4)),sk4),sk4) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_127366,c_378]) ).
tcf(c_129349,plain,
( ( cons(sk5,app(sk7,sk4)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk4,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_127366,c_375]) ).
tcf(c_129350,plain,
! [X0: $i] :
( rearsegP(X0,sk4)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129347,c_6486,c_127367]) ).
tcf(c_129354,plain,
( ( cons(sk5,app(sk7,sk4)) = sk4 )
| ~ rearsegP(sk4,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129349,c_6486,c_127367]) ).
tcf(c_129357,plain,
app(skaf46(cons(sk5,app(sk7,sk4)),sk4),sk4) = cons(sk5,app(sk7,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_129348,c_6486,c_127367]) ).
tcf(c_129359,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf76(X0))))
| ( app(iPr_def_12,skaf76(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf76(X0)))
| ~ ssList(app(iPr_def_12,skaf76(X0))) ),
inference(superposition,[status(thm)],[c_124161,c_407]) ).
tcf(c_129360,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf76(X0))))
| ( app(iPr_def_12,skaf76(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf76(X0)))
| ~ ssList(app(iPr_def_12,skaf76(X0))) ),
inference(superposition,[status(thm)],[c_124161,c_406]) ).
tcf(c_129427,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf75(X0))))
| ( app(iPr_def_12,skaf75(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf75(X0)))
| ~ ssList(app(iPr_def_12,skaf75(X0))) ),
inference(superposition,[status(thm)],[c_124162,c_407]) ).
tcf(c_129428,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf75(X0))))
| ( app(iPr_def_12,skaf75(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf75(X0)))
| ~ ssList(app(iPr_def_12,skaf75(X0))) ),
inference(superposition,[status(thm)],[c_124162,c_406]) ).
tcf(c_129444,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf73(X0))))
| ( app(iPr_def_12,skaf73(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf73(X0)))
| ~ ssList(app(iPr_def_12,skaf73(X0))) ),
inference(superposition,[status(thm)],[c_124163,c_407]) ).
tcf(c_129445,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf73(X0))))
| ( app(iPr_def_12,skaf73(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf73(X0)))
| ~ ssList(app(iPr_def_12,skaf73(X0))) ),
inference(superposition,[status(thm)],[c_124163,c_406]) ).
tcf(c_129530,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk5,sk7),X0),cons(X0,skaf43(X0,cons(sk5,sk7)))) = cons(sk5,sk7) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127329,c_416]) ).
tcf(c_129531,plain,
! [X0: $i] :
( memberP(sk7,X0)
| ( X0 = sk5 )
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_127329,c_408]) ).
tcf(c_129533,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk5,sk7),X0),cons(X0,skaf43(X0,cons(sk5,sk7)))) = cons(sk5,sk7) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129530,c_127316]) ).
tcf(c_129544,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ ssList(cons(sk5,sk7))
| ~ rearsegP(X0,cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127333,c_400]) ).
tcf(c_129545,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk5,sk7),X0),X0) = cons(sk5,sk7) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127333,c_378]) ).
tcf(c_129546,plain,
! [X0: $i] :
( ( cons(sk5,sk7) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk5,sk7))
| ~ rearsegP(X0,cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127333,c_375]) ).
tcf(c_129547,plain,
( rearsegP(cons(sk5,sk7),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127333,c_15170]) ).
tcf(c_129549,plain,
( rearsegP(cons(sk5,sk7),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk5,sk7))
| ~ rearsegP(sk7,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_127333,c_69708]) ).
tcf(c_129550,plain,
( rearsegP(cons(sk5,sk7),sk4)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_127333,c_81078]) ).
tcf(c_129552,plain,
( rearsegP(cons(sk5,sk7),sk8)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_127333,c_81049]) ).
tcf(c_129553,plain,
( rearsegP(cons(sk5,sk7),sk4)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_127333,c_92762]) ).
tcf(c_129555,plain,
( rearsegP(cons(sk5,sk7),sk8)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_127333,c_91539]) ).
tcf(c_129556,plain,
( rearsegP(cons(sk5,sk7),sk4)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_127333,c_115593]) ).
tcf(c_129558,plain,
( rearsegP(cons(sk5,sk7),sk8)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_127333,c_115569]) ).
tcf(c_129559,plain,
( rearsegP(cons(sk5,sk7),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_127333,c_108941]) ).
tcf(c_129560,plain,
( rearsegP(cons(sk5,sk7),sk4)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_127333,c_66649]) ).
tcf(c_129561,plain,
( rearsegP(cons(sk5,sk7),sk4)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_127333,c_68485]) ).
tcf(c_129562,plain,
( rearsegP(cons(sk5,sk7),sk4)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_127333,c_68796]) ).
tcf(c_129563,plain,
( rearsegP(cons(sk5,sk7),sk4)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_127333,c_69620]) ).
tcf(c_129564,plain,
( rearsegP(cons(sk5,sk7),sk8)
| ~ rearsegP(sk7,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129547,c_9020,c_127316]) ).
tcf(c_129567,plain,
( rearsegP(cons(sk5,sk7),sk4)
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129560,c_127316,c_66402]) ).
tcf(c_129570,plain,
! [X0: $i] :
( ( cons(sk5,sk7) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ rearsegP(X0,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129546,c_127316]) ).
tcf(c_129575,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk5,sk7),X0),X0) = cons(sk5,sk7) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129545,c_127316]) ).
tcf(c_129579,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ rearsegP(X0,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129544,c_127316]) ).
tcf(c_129585,plain,
( rearsegP(cons(sk5,sk7),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129563,c_127316,c_68959]) ).
tcf(c_129588,plain,
( rearsegP(cons(sk5,sk7),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129562,c_127316,c_68529]) ).
tcf(c_129591,plain,
( rearsegP(cons(sk5,sk7),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129561,c_127316,c_68222]) ).
tcf(c_129594,plain,
( rearsegP(cons(sk5,sk7),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129559,c_127316,c_66402]) ).
tcf(c_129598,plain,
( rearsegP(cons(sk5,sk7),sk8)
| ~ rearsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129558,c_127316,c_112795]) ).
tcf(c_129601,plain,
( rearsegP(cons(sk5,sk7),sk4)
| ~ rearsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129556,c_127316,c_112801]) ).
tcf(c_129604,plain,
( rearsegP(cons(sk5,sk7),sk8)
| ~ rearsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129555,c_127316,c_89535]) ).
tcf(c_129607,plain,
( rearsegP(cons(sk5,sk7),sk4)
| ~ rearsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129553,c_127316,c_89541]) ).
tcf(c_129610,plain,
( rearsegP(cons(sk5,sk7),sk8)
| ~ rearsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129552,c_127316,c_79220]) ).
tcf(c_129613,plain,
( rearsegP(cons(sk5,sk7),sk4)
| ~ rearsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129550,c_127316,c_79226]) ).
tcf(c_129616,plain,
( rearsegP(cons(sk5,sk7),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk7,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129549,c_28942,c_127316]) ).
tcf(c_129628,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk5,sk7),X0),cons(X0,skaf43(X0,cons(sk5,sk7)))) = cons(sk5,sk7) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_127337,c_416]) ).
tcf(c_129630,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk5,sk7),X0),cons(X0,skaf43(X0,cons(sk5,sk7)))) = cons(sk5,sk7) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129628,c_127316]) ).
tcf(c_129635,plain,
~ rearsegP(sk7,cons(sk5,sk7)),
inference(global_subsumption_just,[status(thm)],[c_127553,c_127319,c_127553]) ).
tcf(c_129639,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk7),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,sk7),sk7))
| ~ ssList(app(app(skaf46(cons(sk5,sk7),sk7),sk7),X0)) ),
inference(superposition,[status(thm)],[c_127556,c_420]) ).
tcf(c_129640,plain,
! [X0: $i] :
( ( skaf46(cons(sk5,sk7),sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,sk7),sk7))
| ( app(X0,sk7) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_127556,c_398]) ).
tcf(c_129642,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(cons(sk5,sk7),sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(cons(sk5,sk7),X0)
| ~ ssList(skaf46(cons(sk5,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_127556,c_405]) ).
tcf(c_129645,plain,
( frontsegP(cons(sk5,sk7),skaf46(cons(sk5,sk7),sk7))
| ~ ssList(sk7)
| ~ ssList(skaf46(cons(sk5,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_127556,c_808]) ).
tcf(c_129647,plain,
! [X0: $i] :
( memberP(cons(sk5,sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf46(cons(sk5,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_127556,c_388]) ).
tcf(c_129648,plain,
! [X0: $i] :
( rearsegP(cons(sk5,sk7),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(skaf46(cons(sk5,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_127556,c_383]) ).
tcf(c_129649,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,sk7),sk7))
| ( app(skaf46(cons(sk5,sk7),sk7),X0) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_127556,c_397]) ).
tcf(c_129650,plain,
! [X0: $i] :
( memberP(cons(sk5,sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf46(cons(sk5,sk7),sk7))
| ~ memberP(skaf46(cons(sk5,sk7),sk7),X0) ),
inference(superposition,[status(thm)],[c_127556,c_387]) ).
tcf(c_129651,plain,
! [X0: $i] :
( frontsegP(cons(sk5,sk7),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,sk7),sk7))
| ~ frontsegP(skaf46(cons(sk5,sk7),sk7),X0) ),
inference(superposition,[status(thm)],[c_127556,c_384]) ).
tcf(c_129652,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,sk7),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(skaf46(cons(sk5,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_127556,c_419]) ).
tcf(c_129655,plain,
frontsegP(cons(sk5,sk7),skaf46(cons(sk5,sk7),sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_129645,c_6483,c_297]) ).
tcf(c_129658,plain,
! [X0: $i] :
( frontsegP(cons(sk5,sk7),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(cons(sk5,sk7),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129651,c_6483,c_297]) ).
tcf(c_129662,plain,
! [X0: $i] :
( memberP(cons(sk5,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(cons(sk5,sk7),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129650,c_6483,c_297]) ).
tcf(c_129667,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(cons(sk5,sk7),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk5,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129642,c_6483,c_297]) ).
tcf(c_129672,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(skaf46(cons(sk5,sk7),sk7),X0) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129649,c_6483,c_297]) ).
tcf(c_129676,plain,
! [X0: $i] :
( ( skaf46(cons(sk5,sk7),sk7) = X0 )
| ~ ssList(X0)
| ( app(X0,sk7) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129640,c_6483,c_297]) ).
tcf(c_129680,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk7),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,sk7),sk7))
| ~ ssList(app(cons(sk5,sk7),X0)) ),
inference(light_normalisation,[status(thm)],[c_129639,c_127556]) ).
tcf(c_129687,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk5,sk7),sk7))
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(X0,cons(sk5,sk7))
| ~ ssList(skaf46(cons(sk5,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_129655,c_401]) ).
tcf(c_129688,plain,
( ( app(skaf46(cons(sk5,sk7),sk7),skaf45(cons(sk5,sk7),skaf46(cons(sk5,sk7),sk7))) = cons(sk5,sk7) )
| ~ ssList(cons(sk5,sk7))
| ~ ssList(skaf46(cons(sk5,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_129655,c_379]) ).
tcf(c_129689,plain,
( ( skaf46(cons(sk5,sk7),sk7) = cons(sk5,sk7) )
| ~ ssList(cons(sk5,sk7))
| ~ ssList(skaf46(cons(sk5,sk7),sk7))
| ~ frontsegP(skaf46(cons(sk5,sk7),sk7),cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_129655,c_376]) ).
tcf(c_129690,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk5,sk7),sk7))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129687,c_127316,c_297]) ).
tcf(c_129694,plain,
( ( skaf46(cons(sk5,sk7),sk7) = cons(sk5,sk7) )
| ~ frontsegP(skaf46(cons(sk5,sk7),sk7),cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129689,c_127316,c_297]) ).
tcf(c_129697,plain,
app(skaf46(cons(sk5,sk7),sk7),skaf45(cons(sk5,sk7),skaf46(cons(sk5,sk7),sk7))) = cons(sk5,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_129688,c_127316,c_297]) ).
tcf(c_129721,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_383,c_127557]) ).
tcf(c_129722,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk5,sk7)),sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(X0,cons(sk5,sk7))) ),
inference(superposition,[status(thm)],[c_807,c_127557]) ).
tcf(c_129723,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(cons(sk5,sk7))
| ~ rearsegP(sk4,cons(sk5,sk7))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_83159,c_127557]) ).
tcf(c_129725,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(cons(sk5,sk7))
| ~ rearsegP(sk8,cons(sk5,sk7))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_81233,c_127557]) ).
tcf(c_129726,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(cons(sk5,sk7))
| ~ rearsegP(sk4,cons(sk5,sk7))
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_107723,c_127557]) ).
tcf(c_129728,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk7)
| ~ ssList(cons(sk5,sk7))
| ~ rearsegP(sk8,cons(sk5,sk7))
| ~ ssList(app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_93147,c_127557]) ).
tcf(c_129729,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(cons(sk5,sk7))
| ~ rearsegP(sk4,cons(sk5,sk7))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_120412,c_127557]) ).
tcf(c_129731,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(cons(sk5,sk7))
| ~ rearsegP(sk8,cons(sk5,sk7))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_117779,c_127557]) ).
tcf(c_129732,plain,
( rearsegP(cons(sk5,sk4),sk7)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk4,cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_66416,c_127557]) ).
tcf(c_129733,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(cons(sk5,sk7))
| ~ rearsegP(sk4,cons(sk5,sk7))
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68240,c_127557]) ).
tcf(c_129734,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(cons(sk5,sk7))
| ~ rearsegP(sk4,cons(sk5,sk7))
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68547,c_127557]) ).
tcf(c_129735,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(cons(sk5,sk7))
| ~ rearsegP(sk4,cons(sk5,sk7))
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68977,c_127557]) ).
tcf(c_129737,plain,
( rearsegP(cons(sk5,sk4),sk7)
| ~ rearsegP(sk4,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129732,c_127316,c_66402]) ).
tcf(c_129740,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk5,sk7)),sk7)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sk5,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129722,c_127316]) ).
tcf(c_129744,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129735,c_127316,c_68959]) ).
tcf(c_129747,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129734,c_127316,c_68529]) ).
tcf(c_129750,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129733,c_127316,c_68222]) ).
tcf(c_129753,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129731,c_127316,c_112795]) ).
tcf(c_129756,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129729,c_127316,c_112801]) ).
tcf(c_129759,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129728,c_127316,c_89535]) ).
tcf(c_129762,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129726,c_127316,c_89541]) ).
tcf(c_129765,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129725,c_127316,c_79220]) ).
tcf(c_129768,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129723,c_127316,c_79226]) ).
tcf(c_129771,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129721,c_127316]) ).
tcf(c_129805,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk7)))
| ~ rearsegP(X0,cons(sk5,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_127596,c_400]) ).
tcf(c_129806,plain,
( ( app(skaf46(cons(sk5,app(sk8,sk7)),sk7),sk7) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_127596,c_378]) ).
tcf(c_129807,plain,
( ( cons(sk5,app(sk8,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk7)))
| ~ rearsegP(sk7,cons(sk5,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_127596,c_375]) ).
tcf(c_129808,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk7)))
| ~ rearsegP(X0,cons(sk5,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129805,c_6483]) ).
tcf(c_129814,plain,
( ( cons(sk5,app(sk8,sk7)) = sk7 )
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk7)))
| ~ rearsegP(sk7,cons(sk5,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129807,c_6483]) ).
tcf(c_129819,plain,
( ( app(skaf46(cons(sk5,app(sk8,sk7)),sk7),sk7) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129806,c_6483]) ).
tcf(c_129894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf76(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf76(X1)))
| ~ ssList(skaf82(skaf76(X1)))
| ~ leq(X2,skaf83(skaf76(X1)))
| ~ leq(skaf83(skaf76(X1)),X2)
| ~ ssList(app(app(X0,skaf76(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf76(X1)),skaf82(skaf76(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10990,c_432]) ).
tcf(c_129895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf76(X1)))
| leq(skaf83(skaf76(X1)),X2)
| ( skaf76(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf76(X1)))
| ~ ssList(skaf82(skaf76(X1)))
| ~ ssList(app(app(X0,skaf76(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf76(X1)),skaf82(skaf76(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10990,c_431]) ).
tcf(c_129896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf76(X1)))
| lt(skaf83(skaf76(X1)),X2)
| ( skaf76(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf76(X1)))
| ~ ssList(skaf82(skaf76(X1)))
| ~ ssList(app(app(X0,skaf76(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf76(X1)),skaf82(skaf76(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10990,c_430]) ).
tcf(c_129897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf76(X1)),X2)
| ( skaf76(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf76(X1)))
| ~ ssList(skaf82(skaf76(X1)))
| ~ ssList(app(app(X0,skaf76(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf76(X1)),skaf82(skaf76(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10990,c_429]) ).
tcf(c_129898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf76(X1)),X2)
| ( skaf76(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf76(X1)))
| ~ ssList(skaf82(skaf76(X1)))
| ~ ssList(app(app(X0,skaf76(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf76(X1)),skaf82(skaf76(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10990,c_428]) ).
tcf(c_129899,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf76(X1)))
| ~ ssList(skaf82(skaf76(X1)))
| ~ ssList(app(app(X0,skaf76(X1)),cons(skaf83(skaf76(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf76(X1)),skaf82(skaf76(X1)))),cons(skaf83(skaf76(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10990,c_426]) ).
tcf(c_129900,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf76(X1)),skaf83(skaf76(X1)))
| ( skaf76(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf76(X1)))
| ~ ssList(skaf82(skaf76(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf76(X1)),skaf82(skaf76(X1))))) ),
inference(superposition,[status(thm)],[c_10990,c_422]) ).
tcf(c_129901,plain,
! [X0: $i] :
( memberP(skaf76(X0),skaf83(skaf76(X0)))
| ( skaf76(X0) = nil )
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10990,c_385]) ).
tcf(c_129903,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( skaf82(skaf76(X0)) = nil )
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0)))
| ( skaf76(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10990,c_21847]) ).
tcf(c_129904,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( skaf82(skaf76(X0)) = nil )
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0)))
| ( skaf76(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10990,c_21842]) ).
tcf(c_129905,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( skaf83(skaf76(X0)) = sk5 )
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0)))
| ( skaf76(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10990,c_21750]) ).
tcf(c_129906,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( skaf83(skaf76(X0)) = sk6 )
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0)))
| ( skaf76(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10990,c_21745]) ).
tcf(c_129907,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( skaf83(skaf76(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf76(X0))
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10990,c_21595]) ).
tcf(c_129908,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( skaf83(skaf76(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf76(X0))
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10990,c_21590]) ).
tcf(c_129909,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( skaf83(skaf76(X0)) = sk5 )
| ~ frontsegP(skaf76(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10990,c_21585]) ).
tcf(c_129910,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( skaf83(skaf76(X0)) = sk6 )
| ~ frontsegP(skaf76(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10990,c_21580]) ).
tcf(c_129911,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf76(X0)))
| ( skaf76(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf76(X0))
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10990,c_21202]) ).
tcf(c_129912,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf76(X0)))
| ( skaf76(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf76(X0))
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10990,c_21197]) ).
tcf(c_129915,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X0) = nil )
| ( skaf83(skaf76(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0)))
| ~ frontsegP(skaf76(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10990,c_423]) ).
tcf(c_129916,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf76(X0)),X2)
| ( skaf76(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0)))
| ~ frontsegP(skaf76(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10990,c_421]) ).
tcf(c_129917,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf76(X0)),X1)
| ( skaf76(X0) = nil )
| ( skaf83(skaf76(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0)))
| ~ memberP(skaf76(X0),X1) ),
inference(superposition,[status(thm)],[c_10990,c_408]) ).
tcf(c_129918,plain,
! [X0: $i] :
( leq(skaf83(skaf76(X0)),hd(skaf82(skaf76(X0))))
| ( skaf76(X0) = nil )
| ( skaf82(skaf76(X0)) = nil )
| ~ totalorderedP(skaf76(X0))
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10990,c_382]) ).
tcf(c_129919,plain,
! [X0: $i] :
( lt(skaf83(skaf76(X0)),hd(skaf82(skaf76(X0))))
| ( skaf76(X0) = nil )
| ( skaf82(skaf76(X0)) = nil )
| ~ strictorderedP(skaf76(X0))
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10990,c_381]) ).
tcf(c_129920,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf76(X0)))
| ( skaf76(X0) = nil )
| ( skaf82(skaf76(X0)) = nil )
| ~ totalorderedP(skaf76(X0))
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10990,c_372]) ).
tcf(c_129921,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf76(X0)))
| ( skaf76(X0) = nil )
| ( skaf82(skaf76(X0)) = nil )
| ~ strictorderedP(skaf76(X0))
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0))) ),
inference(superposition,[status(thm)],[c_10990,c_371]) ).
tcf(c_129922,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0)))
| ( skaf82(skaf76(X0)) != skaf76(X0) ) ),
inference(superposition,[status(thm)],[c_10990,c_346]) ).
tcf(c_129924,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf76(X1)),X0),skaf76(X1))
| ( skaf76(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf76(X1)))
| ~ ssList(skaf82(skaf76(X1)))
| ~ frontsegP(X0,skaf82(skaf76(X1))) ),
inference(superposition,[status(thm)],[c_10990,c_425]) ).
tcf(c_129925,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X2) = nil )
| ( skaf83(skaf76(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf76(X2)))
| ~ ssList(skaf82(skaf76(X2)))
| ~ ssList(app(X0,cons(X1,skaf76(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf76(X2)),skaf82(skaf76(X2)))))) ),
inference(superposition,[status(thm)],[c_10990,c_427]) ).
tcf(c_129926,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X2) = nil )
| ( skaf82(skaf76(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf76(X2)))
| ~ ssList(skaf82(skaf76(X2)))
| ( cons(X0,X1) != skaf76(X2) ) ),
inference(superposition,[status(thm)],[c_10990,c_418]) ).
tcf(c_129927,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X2) = nil )
| ( skaf83(skaf76(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf76(X2)))
| ~ ssList(skaf82(skaf76(X2)))
| ( cons(X0,X1) != skaf76(X2) ) ),
inference(superposition,[status(thm)],[c_10990,c_417]) ).
tcf(c_129928,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X2) = nil )
| ( skaf83(skaf76(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf76(X2)))
| ~ ssList(skaf82(skaf76(X2)))
| ~ frontsegP(cons(X0,X1),skaf76(X2)) ),
inference(superposition,[status(thm)],[c_10990,c_423]) ).
tcf(c_129929,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf76(X2)))
| ( skaf76(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf76(X2)))
| ~ ssList(skaf82(skaf76(X2)))
| ~ frontsegP(cons(X0,X1),skaf76(X2)) ),
inference(superposition,[status(thm)],[c_10990,c_421]) ).
tcf(c_129930,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf76(X0),cons(skaf83(skaf76(X0)),X1))
| ( skaf76(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0)))
| ~ frontsegP(skaf82(skaf76(X0)),X1) ),
inference(superposition,[status(thm)],[c_10990,c_425]) ).
tcf(c_129931,plain,
! [X0: $i,X1: $i] :
( memberP(skaf76(X0),X1)
| ( skaf76(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf76(X0)))
| ~ ssList(skaf82(skaf76(X0)))
| ~ memberP(skaf82(skaf76(X0)),X1) ),
inference(superposition,[status(thm)],[c_10990,c_386]) ).
tcf(c_129932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf76(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf76(X3)))
| ~ ssList(skaf82(skaf76(X3)))
| ~ leq(X1,skaf83(skaf76(X3)))
| ~ leq(skaf83(skaf76(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf76(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf76(X3)),skaf82(skaf76(X3))))) ),
inference(superposition,[status(thm)],[c_10990,c_432]) ).
tcf(c_129933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf76(X3)))
| leq(skaf83(skaf76(X3)),X1)
| ( skaf76(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf76(X3)))
| ~ ssList(skaf82(skaf76(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf76(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf76(X3)),skaf82(skaf76(X3))))) ),
inference(superposition,[status(thm)],[c_10990,c_431]) ).
tcf(c_129934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf76(X3)))
| lt(skaf83(skaf76(X3)),X1)
| ( skaf76(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf76(X3)))
| ~ ssList(skaf82(skaf76(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf76(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf76(X3)),skaf82(skaf76(X3))))) ),
inference(superposition,[status(thm)],[c_10990,c_430]) ).
tcf(c_129935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf76(X3)))
| ( skaf76(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf76(X3)))
| ~ ssList(skaf82(skaf76(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf76(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf76(X3)),skaf82(skaf76(X3))))) ),
inference(superposition,[status(thm)],[c_10990,c_429]) ).
tcf(c_129936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf76(X3)))
| ( skaf76(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf76(X3)))
| ~ ssList(skaf82(skaf76(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf76(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf76(X3)),skaf82(skaf76(X3))))) ),
inference(superposition,[status(thm)],[c_10990,c_428]) ).
tcf(c_129937,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf76(X1)))
| ~ ssList(skaf82(skaf76(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf76(X1)),X2)),skaf76(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf76(X1)),X2)),cons(skaf83(skaf76(X1)),skaf82(skaf76(X1))))) ),
inference(superposition,[status(thm)],[c_10990,c_426]) ).
tcf(c_129938,plain,
! [X0: $i] :
( memberP(skaf76(X0),skaf83(skaf76(X0)))
| ( skaf76(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129901,c_259,c_260]) ).
tcf(c_129941,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( skaf82(skaf76(X0)) != skaf76(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129922,c_259,c_260]) ).
tcf(c_129944,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf76(X0)))
| ( skaf76(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf76(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129912,c_259,c_260]) ).
tcf(c_129948,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf76(X0)))
| ( skaf76(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf76(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129911,c_259,c_260]) ).
tcf(c_129952,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( skaf83(skaf76(X0)) = sk6 )
| ~ frontsegP(skaf76(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129910,c_259,c_260]) ).
tcf(c_129956,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( skaf83(skaf76(X0)) = sk5 )
| ~ frontsegP(skaf76(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129909,c_259,c_260]) ).
tcf(c_129960,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( skaf83(skaf76(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf76(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129908,c_259,c_260]) ).
tcf(c_129964,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( skaf83(skaf76(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf76(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129907,c_259,c_260]) ).
tcf(c_129968,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( skaf83(skaf76(X0)) = sk6 )
| ( skaf76(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129906,c_259,c_260]) ).
tcf(c_129972,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( skaf83(skaf76(X0)) = sk5 )
| ( skaf76(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129905,c_259,c_260]) ).
tcf(c_129976,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( skaf82(skaf76(X0)) = nil )
| ( skaf76(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129904,c_259,c_260]) ).
tcf(c_129980,plain,
! [X0: $i] :
( ( skaf76(X0) = nil )
| ( skaf82(skaf76(X0)) = nil )
| ( skaf76(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129903,c_259,c_260]) ).
tcf(c_129984,plain,
! [X0: $i,X1: $i] :
( memberP(skaf76(X0),X1)
| ( skaf76(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf76(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129931,c_259,c_260]) ).
tcf(c_129989,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf76(X0)))
| ( skaf76(X0) = nil )
| ( skaf82(skaf76(X0)) = nil )
| ~ strictorderedP(skaf76(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129921,c_259,c_260]) ).
tcf(c_129994,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf76(X0)))
| ( skaf76(X0) = nil )
| ( skaf82(skaf76(X0)) = nil )
| ~ totalorderedP(skaf76(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129920,c_259,c_260]) ).
tcf(c_129999,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf76(X0),cons(skaf83(skaf76(X0)),X1))
| ( skaf76(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf76(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129930,c_259,c_260]) ).
tcf(c_130004,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf76(X1)),X0),skaf76(X1))
| ( skaf76(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf76(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129924,c_259,c_260]) ).
tcf(c_130009,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf76(X2)))
| ( skaf76(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf76(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129929,c_259,c_260]) ).
tcf(c_130015,plain,
! [X0: $i] :
( lt(skaf83(skaf76(X0)),hd(skaf82(skaf76(X0))))
| ( skaf76(X0) = nil )
| ( skaf82(skaf76(X0)) = nil )
| ~ strictorderedP(skaf76(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129919,c_259,c_260]) ).
tcf(c_130020,plain,
! [X0: $i] :
( leq(skaf83(skaf76(X0)),hd(skaf82(skaf76(X0))))
| ( skaf76(X0) = nil )
| ( skaf82(skaf76(X0)) = nil )
| ~ totalorderedP(skaf76(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129918,c_259,c_260]) ).
tcf(c_130025,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf76(X0)),X2)
| ( skaf76(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf76(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129916,c_259,c_260]) ).
tcf(c_130031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X2) = nil )
| ( skaf83(skaf76(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf76(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129928,c_259,c_260]) ).
tcf(c_130037,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf76(X0)),X1)
| ( skaf76(X0) = nil )
| ( skaf83(skaf76(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf76(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129917,c_259,c_260]) ).
tcf(c_130043,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X0) = nil )
| ( skaf83(skaf76(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf76(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129915,c_259,c_260]) ).
tcf(c_130049,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X2) = nil )
| ( skaf83(skaf76(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf76(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129927,c_259,c_260]) ).
tcf(c_130055,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X2) = nil )
| ( skaf82(skaf76(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf76(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129926,c_259,c_260]) ).
tcf(c_130061,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf76(X1)),skaf83(skaf76(X1)))
| ( skaf76(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf76(X1)),skaf82(skaf76(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129900,c_259,c_260]) ).
tcf(c_130066,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X2) = nil )
| ( skaf83(skaf76(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf76(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf76(X2)),skaf82(skaf76(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129925,c_259,c_260]) ).
tcf(c_130073,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf76(X1)),X2)),skaf76(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf76(X1)),X2)),cons(skaf83(skaf76(X1)),skaf82(skaf76(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129937,c_259,c_260]) ).
tcf(c_130079,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf76(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf76(X1)),cons(skaf83(skaf76(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf76(X1)),skaf82(skaf76(X1)))),cons(skaf83(skaf76(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129899,c_259,c_260]) ).
tcf(c_130085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf76(X3)))
| ( skaf76(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf76(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf76(X3)),skaf82(skaf76(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129936,c_259,c_260]) ).
tcf(c_130093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf76(X3)))
| ( skaf76(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf76(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf76(X3)),skaf82(skaf76(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129935,c_259,c_260]) ).
tcf(c_130101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf76(X1)),X2)
| ( skaf76(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf76(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf76(X1)),skaf82(skaf76(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129898,c_259,c_260]) ).
tcf(c_130109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf76(X1)),X2)
| ( skaf76(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf76(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf76(X1)),skaf82(skaf76(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129897,c_259,c_260]) ).
tcf(c_130117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf76(X3)))
| lt(skaf83(skaf76(X3)),X1)
| ( skaf76(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf76(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf76(X3)),skaf82(skaf76(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129934,c_259,c_260]) ).
tcf(c_130126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf76(X3)))
| leq(skaf83(skaf76(X3)),X1)
| ( skaf76(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf76(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf76(X3)),skaf82(skaf76(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129933,c_259,c_260]) ).
tcf(c_130135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf76(X1)))
| lt(skaf83(skaf76(X1)),X2)
| ( skaf76(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf76(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf76(X1)),skaf82(skaf76(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129896,c_259,c_260]) ).
tcf(c_130144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf76(X1)))
| leq(skaf83(skaf76(X1)),X2)
| ( skaf76(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf76(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf76(X1)),skaf82(skaf76(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129895,c_259,c_260]) ).
tcf(c_130153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf76(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf76(X3)))
| ~ leq(skaf83(skaf76(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf76(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf76(X3)),skaf82(skaf76(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129932,c_259,c_260]) ).
tcf(c_130162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf76(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf76(X1)))
| ~ leq(skaf83(skaf76(X1)),X2)
| ~ ssList(app(app(X0,skaf76(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf76(X1)),skaf82(skaf76(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129894,c_259,c_260]) ).
tcf(c_130462,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf72(X0))))
| ( app(iPr_def_12,skaf72(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf72(X0)))
| ~ ssList(app(iPr_def_12,skaf72(X0))) ),
inference(superposition,[status(thm)],[c_124164,c_407]) ).
tcf(c_130463,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf72(X0))))
| ( app(iPr_def_12,skaf72(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf72(X0)))
| ~ ssList(app(iPr_def_12,skaf72(X0))) ),
inference(superposition,[status(thm)],[c_124164,c_406]) ).
tcf(c_130479,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf71(X0))))
| ( app(iPr_def_12,skaf71(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf71(X0)))
| ~ ssList(app(iPr_def_12,skaf71(X0))) ),
inference(superposition,[status(thm)],[c_124165,c_407]) ).
tcf(c_130480,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf71(X0))))
| ( app(iPr_def_12,skaf71(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf71(X0)))
| ~ ssList(app(iPr_def_12,skaf71(X0))) ),
inference(superposition,[status(thm)],[c_124165,c_406]) ).
tcf(c_130496,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf68(X0))))
| ( app(iPr_def_12,skaf68(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf68(X0)))
| ~ ssList(app(iPr_def_12,skaf68(X0))) ),
inference(superposition,[status(thm)],[c_124166,c_407]) ).
tcf(c_130497,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf68(X0))))
| ( app(iPr_def_12,skaf68(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf68(X0)))
| ~ ssList(app(iPr_def_12,skaf68(X0))) ),
inference(superposition,[status(thm)],[c_124166,c_406]) ).
tcf(c_130513,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf67(X0))))
| ( app(iPr_def_12,skaf67(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf67(X0)))
| ~ ssList(app(iPr_def_12,skaf67(X0))) ),
inference(superposition,[status(thm)],[c_124167,c_407]) ).
tcf(c_130514,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf67(X0))))
| ( app(iPr_def_12,skaf67(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf67(X0)))
| ~ ssList(app(iPr_def_12,skaf67(X0))) ),
inference(superposition,[status(thm)],[c_124167,c_406]) ).
tcf(c_130530,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf66(X0))))
| ( app(iPr_def_12,skaf66(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf66(X0)))
| ~ ssList(app(iPr_def_12,skaf66(X0))) ),
inference(superposition,[status(thm)],[c_124168,c_407]) ).
tcf(c_130531,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf66(X0))))
| ( app(iPr_def_12,skaf66(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf66(X0)))
| ~ ssList(app(iPr_def_12,skaf66(X0))) ),
inference(superposition,[status(thm)],[c_124168,c_406]) ).
tcf(c_130547,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf63(X0))))
| ( app(iPr_def_12,skaf63(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf63(X0)))
| ~ ssList(app(iPr_def_12,skaf63(X0))) ),
inference(superposition,[status(thm)],[c_124169,c_407]) ).
tcf(c_130548,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf63(X0))))
| ( app(iPr_def_12,skaf63(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf63(X0)))
| ~ ssList(app(iPr_def_12,skaf63(X0))) ),
inference(superposition,[status(thm)],[c_124169,c_406]) ).
tcf(c_130564,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf62(X0))))
| ( app(iPr_def_12,skaf62(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf62(X0)))
| ~ ssList(app(iPr_def_12,skaf62(X0))) ),
inference(superposition,[status(thm)],[c_124170,c_407]) ).
tcf(c_130565,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf62(X0))))
| ( app(iPr_def_12,skaf62(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf62(X0)))
| ~ ssList(app(iPr_def_12,skaf62(X0))) ),
inference(superposition,[status(thm)],[c_124170,c_406]) ).
tcf(c_130581,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf61(X0))))
| ( app(iPr_def_12,skaf61(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf61(X0)))
| ~ ssList(app(iPr_def_12,skaf61(X0))) ),
inference(superposition,[status(thm)],[c_124171,c_407]) ).
tcf(c_130582,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf61(X0))))
| ( app(iPr_def_12,skaf61(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf61(X0)))
| ~ ssList(app(iPr_def_12,skaf61(X0))) ),
inference(superposition,[status(thm)],[c_124171,c_406]) ).
tcf(c_130609,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_384,c_124701]) ).
tcf(c_130610,plain,
! [X0: $i] :
( frontsegP(app(app(sk8,app(sk4,sk8)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(app(sk8,app(sk4,sk8)),X0)) ),
inference(superposition,[status(thm)],[c_808,c_124701]) ).
tcf(c_130611,plain,
( frontsegP(cons(sk6,sk4),sk8)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_51206,c_124701]) ).
tcf(c_130612,plain,
( frontsegP(cons(sk6,sk7),sk8)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_51316,c_124701]) ).
tcf(c_130613,plain,
( frontsegP(cons(sk6,sk8),sk8)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_51801,c_124701]) ).
tcf(c_130614,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_109050,c_124701]) ).
tcf(c_130615,plain,
( frontsegP(app(sk4,sk4),sk8)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ frontsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_79173,c_124701]) ).
tcf(c_130616,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_106522,c_124701]) ).
tcf(c_130617,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_124701]) ).
tcf(c_130618,plain,
( frontsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_121474,c_124701]) ).
tcf(c_130619,plain,
( frontsegP(app(sk7,sk4),sk8)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ frontsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_89482,c_124701]) ).
tcf(c_130620,plain,
( frontsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_120748,c_124701]) ).
tcf(c_130621,plain,
( frontsegP(app(sk7,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_116232,c_124701]) ).
tcf(c_130623,plain,
( frontsegP(cons(sk5,sk4),sk8)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ frontsegP(iPr_def_12,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_66408,c_124701]) ).
tcf(c_130624,plain,
( frontsegP(cons(sk5,sk7),sk8)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ frontsegP(iPr_def_12,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_127325,c_124701]) ).
tcf(c_130625,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68249,c_124701]) ).
tcf(c_130626,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68556,c_124701]) ).
tcf(c_130627,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68986,c_124701]) ).
tcf(c_130628,plain,
( frontsegP(cons(sk5,sk7),sk8)
| ~ frontsegP(iPr_def_12,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130624,c_127316,c_112795]) ).
tcf(c_130631,plain,
( frontsegP(cons(sk5,sk4),sk8)
| ~ frontsegP(iPr_def_12,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130623,c_66402,c_112795]) ).
tcf(c_130634,plain,
( frontsegP(app(sk7,sk4),sk8)
| ~ frontsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130619,c_89458,c_112795]) ).
tcf(c_130637,plain,
( frontsegP(app(sk4,sk4),sk8)
| ~ frontsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130615,c_79152,c_112795]) ).
tcf(c_130640,plain,
( frontsegP(cons(sk6,sk8),sk8)
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130613,c_28938,c_112795]) ).
tcf(c_130643,plain,
( frontsegP(cons(sk6,sk7),sk8)
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130612,c_28940,c_112795]) ).
tcf(c_130646,plain,
( frontsegP(cons(sk6,sk4),sk8)
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130611,c_28942,c_112795]) ).
tcf(c_130649,plain,
! [X0: $i] :
( frontsegP(app(app(sk8,app(sk4,sk8)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(app(sk8,app(sk4,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130610,c_112795]) ).
tcf(c_130653,plain,
( frontsegP(app(sk7,app(sk4,sk8)),sk8)
| ~ frontsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130621,c_112795,c_89535]) ).
tcf(c_130656,plain,
( frontsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ frontsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130620,c_112795,c_89538]) ).
tcf(c_130659,plain,
( frontsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ frontsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130618,c_112795,c_89541]) ).
tcf(c_130662,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk8)
| ~ frontsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130617,c_112795,c_79220]) ).
tcf(c_130665,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ frontsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130616,c_112795,c_79223]) ).
tcf(c_130668,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ frontsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130614,c_112795,c_79226]) ).
tcf(c_130671,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ frontsegP(cons(sk6,sk8),app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130627,c_112795,c_68959]) ).
tcf(c_130674,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ frontsegP(cons(sk6,sk7),app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130626,c_112795,c_68529]) ).
tcf(c_130677,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ frontsegP(cons(sk6,sk4),app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130625,c_112795,c_68222]) ).
tcf(c_130680,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130609,c_112795]) ).
tcf(c_130765,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_384,c_124713]) ).
tcf(c_130766,plain,
! [X0: $i] :
( frontsegP(app(app(sk8,app(sk4,sk7)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(app(sk8,app(sk4,sk7)),X0)) ),
inference(superposition,[status(thm)],[c_808,c_124713]) ).
tcf(c_130767,plain,
( frontsegP(cons(sk6,sk4),sk8)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_51206,c_124713]) ).
tcf(c_130768,plain,
( frontsegP(cons(sk6,sk7),sk8)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_51316,c_124713]) ).
tcf(c_130769,plain,
( frontsegP(cons(sk6,sk8),sk8)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_51801,c_124713]) ).
tcf(c_130770,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_109050,c_124713]) ).
tcf(c_130771,plain,
( frontsegP(app(sk4,sk4),sk8)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ frontsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_79173,c_124713]) ).
tcf(c_130772,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_124713]) ).
tcf(c_130773,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_94043,c_124713]) ).
tcf(c_130774,plain,
( frontsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_121474,c_124713]) ).
tcf(c_130775,plain,
( frontsegP(app(sk7,sk4),sk8)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ frontsegP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_89482,c_124713]) ).
tcf(c_130776,plain,
( frontsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_120748,c_124713]) ).
tcf(c_130777,plain,
( frontsegP(app(sk7,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_116232,c_124713]) ).
tcf(c_130779,plain,
( frontsegP(cons(sk5,sk4),sk8)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ frontsegP(iPr_def_12,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_66408,c_124713]) ).
tcf(c_130780,plain,
( frontsegP(cons(sk5,sk7),sk8)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ frontsegP(iPr_def_12,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_127325,c_124713]) ).
tcf(c_130781,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68249,c_124713]) ).
tcf(c_130782,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68556,c_124713]) ).
tcf(c_130783,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68986,c_124713]) ).
tcf(c_130784,plain,
( frontsegP(cons(sk5,sk7),sk8)
| ~ frontsegP(iPr_def_12,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130780,c_127316,c_112798]) ).
tcf(c_130787,plain,
( frontsegP(cons(sk5,sk4),sk8)
| ~ frontsegP(iPr_def_12,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130779,c_66402,c_112798]) ).
tcf(c_130790,plain,
( frontsegP(app(sk7,sk4),sk8)
| ~ frontsegP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130775,c_89458,c_112798]) ).
tcf(c_130793,plain,
( frontsegP(app(sk4,sk4),sk8)
| ~ frontsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130771,c_79152,c_112798]) ).
tcf(c_130796,plain,
( frontsegP(cons(sk6,sk8),sk8)
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130769,c_28938,c_112798]) ).
tcf(c_130799,plain,
( frontsegP(cons(sk6,sk7),sk8)
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130768,c_28940,c_112798]) ).
tcf(c_130802,plain,
( frontsegP(cons(sk6,sk4),sk8)
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130767,c_28942,c_112798]) ).
tcf(c_130805,plain,
! [X0: $i] :
( frontsegP(app(app(sk8,app(sk4,sk7)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(app(sk8,app(sk4,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130766,c_112798]) ).
tcf(c_130809,plain,
( frontsegP(app(sk7,app(sk4,sk8)),sk8)
| ~ frontsegP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130777,c_112798,c_89535]) ).
tcf(c_130812,plain,
( frontsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ frontsegP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130776,c_112798,c_89538]) ).
tcf(c_130815,plain,
( frontsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ frontsegP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130774,c_112798,c_89541]) ).
tcf(c_130818,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk8)
| ~ frontsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130773,c_112798,c_79220]) ).
tcf(c_130821,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ frontsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130772,c_112798,c_79223]) ).
tcf(c_130824,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ frontsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130770,c_112798,c_79226]) ).
tcf(c_130827,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ frontsegP(cons(sk6,sk8),app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130783,c_112798,c_68959]) ).
tcf(c_130830,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ frontsegP(cons(sk6,sk7),app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130782,c_112798,c_68529]) ).
tcf(c_130833,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ frontsegP(cons(sk6,sk4),app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130781,c_112798,c_68222]) ).
tcf(c_130836,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130765,c_112798]) ).
tcf(c_130902,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_384,c_124725]) ).
tcf(c_130903,plain,
! [X0: $i] :
( frontsegP(app(app(sk8,app(sk4,sk4)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(app(sk8,app(sk4,sk4)),X0)) ),
inference(superposition,[status(thm)],[c_808,c_124725]) ).
tcf(c_130904,plain,
( frontsegP(cons(sk6,sk4),sk8)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_51206,c_124725]) ).
tcf(c_130905,plain,
( frontsegP(cons(sk6,sk7),sk8)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_51316,c_124725]) ).
tcf(c_130906,plain,
( frontsegP(cons(sk6,sk8),sk8)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_51801,c_124725]) ).
tcf(c_130907,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_124725]) ).
tcf(c_130908,plain,
( frontsegP(app(sk4,sk4),sk8)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ frontsegP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_79173,c_124725]) ).
tcf(c_130909,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_106522,c_124725]) ).
tcf(c_130910,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_94043,c_124725]) ).
tcf(c_130911,plain,
( frontsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_121474,c_124725]) ).
tcf(c_130912,plain,
( frontsegP(app(sk7,sk4),sk8)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ frontsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_89482,c_124725]) ).
tcf(c_130913,plain,
( frontsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_120748,c_124725]) ).
tcf(c_130914,plain,
( frontsegP(app(sk7,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_116232,c_124725]) ).
tcf(c_130916,plain,
( frontsegP(cons(sk5,sk4),sk8)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ frontsegP(iPr_def_12,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_66408,c_124725]) ).
tcf(c_130917,plain,
( frontsegP(cons(sk5,sk7),sk8)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ frontsegP(iPr_def_12,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_127325,c_124725]) ).
tcf(c_130918,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68249,c_124725]) ).
tcf(c_130919,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68556,c_124725]) ).
tcf(c_130920,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68986,c_124725]) ).
tcf(c_130921,plain,
( frontsegP(cons(sk5,sk7),sk8)
| ~ frontsegP(iPr_def_12,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130917,c_127316,c_112801]) ).
tcf(c_130924,plain,
( frontsegP(cons(sk5,sk4),sk8)
| ~ frontsegP(iPr_def_12,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130916,c_66402,c_112801]) ).
tcf(c_130927,plain,
( frontsegP(app(sk7,sk4),sk8)
| ~ frontsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130912,c_89458,c_112801]) ).
tcf(c_130930,plain,
( frontsegP(app(sk4,sk4),sk8)
| ~ frontsegP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130908,c_79152,c_112801]) ).
tcf(c_130933,plain,
( frontsegP(cons(sk6,sk8),sk8)
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130906,c_28938,c_112801]) ).
tcf(c_130936,plain,
( frontsegP(cons(sk6,sk7),sk8)
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130905,c_28940,c_112801]) ).
tcf(c_130939,plain,
( frontsegP(cons(sk6,sk4),sk8)
| ~ frontsegP(iPr_def_14,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130904,c_28942,c_112801]) ).
tcf(c_130942,plain,
! [X0: $i] :
( frontsegP(app(app(sk8,app(sk4,sk4)),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(app(sk8,app(sk4,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130903,c_112801]) ).
tcf(c_130946,plain,
( frontsegP(app(sk7,app(sk4,sk8)),sk8)
| ~ frontsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130914,c_112801,c_89535]) ).
tcf(c_130949,plain,
( frontsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ frontsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130913,c_112801,c_89538]) ).
tcf(c_130952,plain,
( frontsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ frontsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130911,c_112801,c_89541]) ).
tcf(c_130955,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk8)
| ~ frontsegP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130910,c_112801,c_79220]) ).
tcf(c_130958,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ frontsegP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130909,c_112801,c_79223]) ).
tcf(c_130961,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ frontsegP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130907,c_112801,c_79226]) ).
tcf(c_130964,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ frontsegP(cons(sk6,sk8),app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130920,c_112801,c_68959]) ).
tcf(c_130967,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ frontsegP(cons(sk6,sk7),app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130919,c_112801,c_68529]) ).
tcf(c_130970,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ frontsegP(cons(sk6,sk4),app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130918,c_112801,c_68222]) ).
tcf(c_130973,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130902,c_112801]) ).
tcf(c_131038,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(X0,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124773,c_399]) ).
tcf(c_131039,plain,
! [X0: $i] :
( ( app(app(skaf47(cons(sk5,app(sk4,sk7)),X0),X0),skaf48(X0,cons(sk5,app(sk4,sk7)))) = cons(sk5,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124773,c_415]) ).
tcf(c_131040,plain,
! [X0: $i] :
( ( cons(sk5,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(X0,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124773,c_374]) ).
tcf(c_131041,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124773,c_27069]) ).
tcf(c_131042,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124773,c_28549]) ).
tcf(c_131043,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124773,c_27097]) ).
tcf(c_131044,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124773,c_27109]) ).
tcf(c_131045,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_124773,c_122398]) ).
tcf(c_131046,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124773,c_120940]) ).
tcf(c_131047,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_124773,c_117138]) ).
tcf(c_131049,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk7)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_124773,c_69982]) ).
tcf(c_131050,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk8)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_124773,c_70505]) ).
tcf(c_131052,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131044,c_24748,c_124771]) ).
tcf(c_131055,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131043,c_9020,c_124771]) ).
tcf(c_131058,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131042,c_9020,c_124771]) ).
tcf(c_131061,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131041,c_9527,c_124771]) ).
tcf(c_131064,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ segmentP(X0,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131038,c_124771]) ).
tcf(c_131070,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131050,c_68959,c_124771]) ).
tcf(c_131073,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131049,c_68529,c_124771]) ).
tcf(c_131076,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131047,c_89535,c_124771]) ).
tcf(c_131079,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131046,c_89538,c_124771]) ).
tcf(c_131082,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131045,c_89541,c_124771]) ).
tcf(c_131085,plain,
! [X0: $i] :
( ( cons(sk5,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(X0,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131040,c_124771]) ).
tcf(c_131090,plain,
! [X0: $i] :
( ( app(app(skaf47(cons(sk5,app(sk4,sk7)),X0),X0),skaf48(X0,cons(sk5,app(sk4,sk7)))) = cons(sk5,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131039,c_124771]) ).
tcf(c_131096,plain,
segmentP(cons(sk5,app(sk4,sk7)),sk4),
inference(global_subsumption_just,[status(thm)],[c_124778,c_124771,c_124778]) ).
tcf(c_131098,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(X0,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_131096,c_399]) ).
tcf(c_131099,plain,
( ( app(app(skaf47(cons(sk5,app(sk4,sk7)),sk4),sk4),skaf48(sk4,cons(sk5,app(sk4,sk7)))) = cons(sk5,app(sk4,sk7)) )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_131096,c_415]) ).
tcf(c_131100,plain,
( ( cons(sk5,app(sk4,sk7)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_131096,c_374]) ).
tcf(c_131101,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(X0)
| ~ segmentP(X0,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131098,c_6486,c_124771]) ).
tcf(c_131105,plain,
( ( cons(sk5,app(sk4,sk7)) = sk4 )
| ~ segmentP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131100,c_6486,c_124771]) ).
tcf(c_131108,plain,
app(app(skaf47(cons(sk5,app(sk4,sk7)),sk4),sk4),skaf48(sk4,cons(sk5,app(sk4,sk7)))) = cons(sk5,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_131099,c_6486,c_124771]) ).
tcf(c_131116,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(X0,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124789,c_400]) ).
tcf(c_131117,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk5,app(sk4,sk7)),X0),X0) = cons(sk5,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124789,c_378]) ).
tcf(c_131118,plain,
! [X0: $i] :
( ( cons(sk5,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(X0,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124789,c_375]) ).
tcf(c_131119,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124789,c_15170]) ).
tcf(c_131121,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ rearsegP(sk7,cons(sk6,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124789,c_69708]) ).
tcf(c_131122,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_124789,c_81078]) ).
tcf(c_131124,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_124789,c_81049]) ).
tcf(c_131125,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_124789,c_92762]) ).
tcf(c_131127,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_124789,c_91539]) ).
tcf(c_131128,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_124789,c_115593]) ).
tcf(c_131130,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_124789,c_115569]) ).
tcf(c_131131,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk7,cons(sk5,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124789,c_108941]) ).
tcf(c_131132,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk7,cons(sk5,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124789,c_66649]) ).
tcf(c_131133,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_124789,c_68485]) ).
tcf(c_131134,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_124789,c_68796]) ).
tcf(c_131135,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_124789,c_69620]) ).
tcf(c_131137,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131119,c_9020,c_124771]) ).
tcf(c_131140,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131132,c_66402,c_124771]) ).
tcf(c_131143,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ rearsegP(X0,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131116,c_124771]) ).
tcf(c_131149,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131135,c_68959,c_124771]) ).
tcf(c_131152,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131134,c_68529,c_124771]) ).
tcf(c_131155,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131133,c_68222,c_124771]) ).
tcf(c_131158,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131131,c_66402,c_124771]) ).
tcf(c_131162,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131130,c_112795,c_124771]) ).
tcf(c_131165,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131128,c_112801,c_124771]) ).
tcf(c_131168,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131127,c_89535,c_124771]) ).
tcf(c_131171,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131125,c_89541,c_124771]) ).
tcf(c_131174,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131124,c_79220,c_124771]) ).
tcf(c_131177,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131122,c_79226,c_124771]) ).
tcf(c_131180,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk7,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131121,c_28942,c_124771]) ).
tcf(c_131184,plain,
! [X0: $i] :
( ( cons(sk5,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ rearsegP(X0,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131118,c_124771]) ).
tcf(c_131189,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk5,app(sk4,sk7)),X0),X0) = cons(sk5,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131117,c_124771]) ).
tcf(c_131256,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk5,app(sk4,sk7)),X0),cons(X0,skaf43(X0,cons(sk5,app(sk4,sk7))))) = cons(sk5,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124793,c_416]) ).
tcf(c_131257,plain,
! [X0: $i] :
( memberP(app(sk4,sk7),X0)
| ( X0 = sk5 )
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_124793,c_408]) ).
tcf(c_131258,plain,
! [X0: $i] :
( memberP(app(sk4,sk7),X0)
| ( X0 = sk5 )
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131257,c_6485]) ).
tcf(c_131264,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk5,app(sk4,sk7)),X0),cons(X0,skaf43(X0,cons(sk5,app(sk4,sk7))))) = cons(sk5,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131256,c_124771]) ).
tcf(c_131324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf75(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf75(X1)))
| ~ ssList(skaf82(skaf75(X1)))
| ~ leq(X2,skaf83(skaf75(X1)))
| ~ leq(skaf83(skaf75(X1)),X2)
| ~ ssList(app(app(X0,skaf75(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf75(X1)),skaf82(skaf75(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10991,c_432]) ).
tcf(c_131325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf75(X1)))
| leq(skaf83(skaf75(X1)),X2)
| ( skaf75(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf75(X1)))
| ~ ssList(skaf82(skaf75(X1)))
| ~ ssList(app(app(X0,skaf75(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf75(X1)),skaf82(skaf75(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10991,c_431]) ).
tcf(c_131326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf75(X1)))
| lt(skaf83(skaf75(X1)),X2)
| ( skaf75(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf75(X1)))
| ~ ssList(skaf82(skaf75(X1)))
| ~ ssList(app(app(X0,skaf75(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf75(X1)),skaf82(skaf75(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10991,c_430]) ).
tcf(c_131327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf75(X1)),X2)
| ( skaf75(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf75(X1)))
| ~ ssList(skaf82(skaf75(X1)))
| ~ ssList(app(app(X0,skaf75(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf75(X1)),skaf82(skaf75(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10991,c_429]) ).
tcf(c_131328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf75(X1)),X2)
| ( skaf75(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf75(X1)))
| ~ ssList(skaf82(skaf75(X1)))
| ~ ssList(app(app(X0,skaf75(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf75(X1)),skaf82(skaf75(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10991,c_428]) ).
tcf(c_131329,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf75(X1)))
| ~ ssList(skaf82(skaf75(X1)))
| ~ ssList(app(app(X0,skaf75(X1)),cons(skaf83(skaf75(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf75(X1)),skaf82(skaf75(X1)))),cons(skaf83(skaf75(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10991,c_426]) ).
tcf(c_131330,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf75(X1)),skaf83(skaf75(X1)))
| ( skaf75(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf75(X1)))
| ~ ssList(skaf82(skaf75(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf75(X1)),skaf82(skaf75(X1))))) ),
inference(superposition,[status(thm)],[c_10991,c_422]) ).
tcf(c_131331,plain,
! [X0: $i] :
( memberP(skaf75(X0),skaf83(skaf75(X0)))
| ( skaf75(X0) = nil )
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10991,c_385]) ).
tcf(c_131333,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( skaf82(skaf75(X0)) = nil )
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0)))
| ( skaf75(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10991,c_21847]) ).
tcf(c_131334,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( skaf82(skaf75(X0)) = nil )
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0)))
| ( skaf75(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10991,c_21842]) ).
tcf(c_131335,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( skaf83(skaf75(X0)) = sk5 )
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0)))
| ( skaf75(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10991,c_21750]) ).
tcf(c_131336,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( skaf83(skaf75(X0)) = sk6 )
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0)))
| ( skaf75(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10991,c_21745]) ).
tcf(c_131337,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( skaf83(skaf75(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf75(X0))
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10991,c_21595]) ).
tcf(c_131338,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( skaf83(skaf75(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf75(X0))
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10991,c_21590]) ).
tcf(c_131339,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( skaf83(skaf75(X0)) = sk5 )
| ~ frontsegP(skaf75(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10991,c_21585]) ).
tcf(c_131340,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( skaf83(skaf75(X0)) = sk6 )
| ~ frontsegP(skaf75(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10991,c_21580]) ).
tcf(c_131341,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf75(X0)))
| ( skaf75(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf75(X0))
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10991,c_21202]) ).
tcf(c_131342,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf75(X0)))
| ( skaf75(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf75(X0))
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10991,c_21197]) ).
tcf(c_131345,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X0) = nil )
| ( skaf83(skaf75(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0)))
| ~ frontsegP(skaf75(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10991,c_423]) ).
tcf(c_131346,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf75(X0)),X2)
| ( skaf75(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0)))
| ~ frontsegP(skaf75(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10991,c_421]) ).
tcf(c_131347,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf75(X0)),X1)
| ( skaf75(X0) = nil )
| ( skaf83(skaf75(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0)))
| ~ memberP(skaf75(X0),X1) ),
inference(superposition,[status(thm)],[c_10991,c_408]) ).
tcf(c_131348,plain,
! [X0: $i] :
( leq(skaf83(skaf75(X0)),hd(skaf82(skaf75(X0))))
| ( skaf75(X0) = nil )
| ( skaf82(skaf75(X0)) = nil )
| ~ totalorderedP(skaf75(X0))
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10991,c_382]) ).
tcf(c_131349,plain,
! [X0: $i] :
( lt(skaf83(skaf75(X0)),hd(skaf82(skaf75(X0))))
| ( skaf75(X0) = nil )
| ( skaf82(skaf75(X0)) = nil )
| ~ strictorderedP(skaf75(X0))
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10991,c_381]) ).
tcf(c_131350,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf75(X0)))
| ( skaf75(X0) = nil )
| ( skaf82(skaf75(X0)) = nil )
| ~ totalorderedP(skaf75(X0))
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10991,c_372]) ).
tcf(c_131351,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf75(X0)))
| ( skaf75(X0) = nil )
| ( skaf82(skaf75(X0)) = nil )
| ~ strictorderedP(skaf75(X0))
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0))) ),
inference(superposition,[status(thm)],[c_10991,c_371]) ).
tcf(c_131352,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0)))
| ( skaf82(skaf75(X0)) != skaf75(X0) ) ),
inference(superposition,[status(thm)],[c_10991,c_346]) ).
tcf(c_131354,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf75(X1)),X0),skaf75(X1))
| ( skaf75(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf75(X1)))
| ~ ssList(skaf82(skaf75(X1)))
| ~ frontsegP(X0,skaf82(skaf75(X1))) ),
inference(superposition,[status(thm)],[c_10991,c_425]) ).
tcf(c_131355,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X2) = nil )
| ( skaf83(skaf75(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf75(X2)))
| ~ ssList(skaf82(skaf75(X2)))
| ~ ssList(app(X0,cons(X1,skaf75(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf75(X2)),skaf82(skaf75(X2)))))) ),
inference(superposition,[status(thm)],[c_10991,c_427]) ).
tcf(c_131356,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X2) = nil )
| ( skaf82(skaf75(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf75(X2)))
| ~ ssList(skaf82(skaf75(X2)))
| ( cons(X0,X1) != skaf75(X2) ) ),
inference(superposition,[status(thm)],[c_10991,c_418]) ).
tcf(c_131357,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X2) = nil )
| ( skaf83(skaf75(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf75(X2)))
| ~ ssList(skaf82(skaf75(X2)))
| ( cons(X0,X1) != skaf75(X2) ) ),
inference(superposition,[status(thm)],[c_10991,c_417]) ).
tcf(c_131358,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X2) = nil )
| ( skaf83(skaf75(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf75(X2)))
| ~ ssList(skaf82(skaf75(X2)))
| ~ frontsegP(cons(X0,X1),skaf75(X2)) ),
inference(superposition,[status(thm)],[c_10991,c_423]) ).
tcf(c_131359,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf75(X2)))
| ( skaf75(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf75(X2)))
| ~ ssList(skaf82(skaf75(X2)))
| ~ frontsegP(cons(X0,X1),skaf75(X2)) ),
inference(superposition,[status(thm)],[c_10991,c_421]) ).
tcf(c_131360,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf75(X0),cons(skaf83(skaf75(X0)),X1))
| ( skaf75(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0)))
| ~ frontsegP(skaf82(skaf75(X0)),X1) ),
inference(superposition,[status(thm)],[c_10991,c_425]) ).
tcf(c_131361,plain,
! [X0: $i,X1: $i] :
( memberP(skaf75(X0),X1)
| ( skaf75(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf75(X0)))
| ~ ssList(skaf82(skaf75(X0)))
| ~ memberP(skaf82(skaf75(X0)),X1) ),
inference(superposition,[status(thm)],[c_10991,c_386]) ).
tcf(c_131362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf75(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf75(X3)))
| ~ ssList(skaf82(skaf75(X3)))
| ~ leq(X1,skaf83(skaf75(X3)))
| ~ leq(skaf83(skaf75(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf75(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf75(X3)),skaf82(skaf75(X3))))) ),
inference(superposition,[status(thm)],[c_10991,c_432]) ).
tcf(c_131363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf75(X3)))
| leq(skaf83(skaf75(X3)),X1)
| ( skaf75(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf75(X3)))
| ~ ssList(skaf82(skaf75(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf75(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf75(X3)),skaf82(skaf75(X3))))) ),
inference(superposition,[status(thm)],[c_10991,c_431]) ).
tcf(c_131364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf75(X3)))
| lt(skaf83(skaf75(X3)),X1)
| ( skaf75(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf75(X3)))
| ~ ssList(skaf82(skaf75(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf75(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf75(X3)),skaf82(skaf75(X3))))) ),
inference(superposition,[status(thm)],[c_10991,c_430]) ).
tcf(c_131365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf75(X3)))
| ( skaf75(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf75(X3)))
| ~ ssList(skaf82(skaf75(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf75(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf75(X3)),skaf82(skaf75(X3))))) ),
inference(superposition,[status(thm)],[c_10991,c_429]) ).
tcf(c_131366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf75(X3)))
| ( skaf75(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf75(X3)))
| ~ ssList(skaf82(skaf75(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf75(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf75(X3)),skaf82(skaf75(X3))))) ),
inference(superposition,[status(thm)],[c_10991,c_428]) ).
tcf(c_131367,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf75(X1)))
| ~ ssList(skaf82(skaf75(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf75(X1)),X2)),skaf75(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf75(X1)),X2)),cons(skaf83(skaf75(X1)),skaf82(skaf75(X1))))) ),
inference(superposition,[status(thm)],[c_10991,c_426]) ).
tcf(c_131368,plain,
! [X0: $i] :
( memberP(skaf75(X0),skaf83(skaf75(X0)))
| ( skaf75(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131331,c_259,c_260]) ).
tcf(c_131371,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( skaf82(skaf75(X0)) != skaf75(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131352,c_259,c_260]) ).
tcf(c_131374,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf75(X0)))
| ( skaf75(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf75(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131342,c_259,c_260]) ).
tcf(c_131378,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf75(X0)))
| ( skaf75(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf75(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131341,c_259,c_260]) ).
tcf(c_131382,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( skaf83(skaf75(X0)) = sk6 )
| ~ frontsegP(skaf75(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131340,c_259,c_260]) ).
tcf(c_131386,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( skaf83(skaf75(X0)) = sk5 )
| ~ frontsegP(skaf75(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131339,c_259,c_260]) ).
tcf(c_131390,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( skaf83(skaf75(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf75(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131338,c_259,c_260]) ).
tcf(c_131394,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( skaf83(skaf75(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf75(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131337,c_259,c_260]) ).
tcf(c_131398,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( skaf83(skaf75(X0)) = sk6 )
| ( skaf75(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131336,c_259,c_260]) ).
tcf(c_131402,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( skaf83(skaf75(X0)) = sk5 )
| ( skaf75(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131335,c_259,c_260]) ).
tcf(c_131406,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( skaf82(skaf75(X0)) = nil )
| ( skaf75(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131334,c_259,c_260]) ).
tcf(c_131410,plain,
! [X0: $i] :
( ( skaf75(X0) = nil )
| ( skaf82(skaf75(X0)) = nil )
| ( skaf75(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131333,c_259,c_260]) ).
tcf(c_131414,plain,
! [X0: $i,X1: $i] :
( memberP(skaf75(X0),X1)
| ( skaf75(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf75(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131361,c_259,c_260]) ).
tcf(c_131419,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf75(X0)))
| ( skaf75(X0) = nil )
| ( skaf82(skaf75(X0)) = nil )
| ~ strictorderedP(skaf75(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131351,c_259,c_260]) ).
tcf(c_131424,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf75(X0)))
| ( skaf75(X0) = nil )
| ( skaf82(skaf75(X0)) = nil )
| ~ totalorderedP(skaf75(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131350,c_259,c_260]) ).
tcf(c_131429,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf75(X0),cons(skaf83(skaf75(X0)),X1))
| ( skaf75(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf75(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131360,c_259,c_260]) ).
tcf(c_131434,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf75(X1)),X0),skaf75(X1))
| ( skaf75(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf75(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131354,c_259,c_260]) ).
tcf(c_131439,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf75(X2)))
| ( skaf75(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf75(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131359,c_259,c_260]) ).
tcf(c_131445,plain,
! [X0: $i] :
( lt(skaf83(skaf75(X0)),hd(skaf82(skaf75(X0))))
| ( skaf75(X0) = nil )
| ( skaf82(skaf75(X0)) = nil )
| ~ strictorderedP(skaf75(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131349,c_259,c_260]) ).
tcf(c_131450,plain,
! [X0: $i] :
( leq(skaf83(skaf75(X0)),hd(skaf82(skaf75(X0))))
| ( skaf75(X0) = nil )
| ( skaf82(skaf75(X0)) = nil )
| ~ totalorderedP(skaf75(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131348,c_259,c_260]) ).
tcf(c_131455,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf75(X0)),X2)
| ( skaf75(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf75(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131346,c_259,c_260]) ).
tcf(c_131461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X2) = nil )
| ( skaf83(skaf75(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf75(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131358,c_259,c_260]) ).
tcf(c_131467,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf75(X0)),X1)
| ( skaf75(X0) = nil )
| ( skaf83(skaf75(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf75(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131347,c_259,c_260]) ).
tcf(c_131473,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X0) = nil )
| ( skaf83(skaf75(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf75(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131345,c_259,c_260]) ).
tcf(c_131479,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X2) = nil )
| ( skaf83(skaf75(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf75(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131357,c_259,c_260]) ).
tcf(c_131485,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X2) = nil )
| ( skaf82(skaf75(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf75(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131356,c_259,c_260]) ).
tcf(c_131491,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf75(X1)),skaf83(skaf75(X1)))
| ( skaf75(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf75(X1)),skaf82(skaf75(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131330,c_259,c_260]) ).
tcf(c_131496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X2) = nil )
| ( skaf83(skaf75(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf75(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf75(X2)),skaf82(skaf75(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131355,c_259,c_260]) ).
tcf(c_131503,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf75(X1)),X2)),skaf75(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf75(X1)),X2)),cons(skaf83(skaf75(X1)),skaf82(skaf75(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131367,c_259,c_260]) ).
tcf(c_131509,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf75(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf75(X1)),cons(skaf83(skaf75(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf75(X1)),skaf82(skaf75(X1)))),cons(skaf83(skaf75(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131329,c_259,c_260]) ).
tcf(c_131515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf75(X3)))
| ( skaf75(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf75(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf75(X3)),skaf82(skaf75(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131366,c_259,c_260]) ).
tcf(c_131523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf75(X3)))
| ( skaf75(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf75(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf75(X3)),skaf82(skaf75(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131365,c_259,c_260]) ).
tcf(c_131531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf75(X1)),X2)
| ( skaf75(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf75(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf75(X1)),skaf82(skaf75(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131328,c_259,c_260]) ).
tcf(c_131539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf75(X1)),X2)
| ( skaf75(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf75(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf75(X1)),skaf82(skaf75(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131327,c_259,c_260]) ).
tcf(c_131547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf75(X3)))
| lt(skaf83(skaf75(X3)),X1)
| ( skaf75(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf75(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf75(X3)),skaf82(skaf75(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131364,c_259,c_260]) ).
tcf(c_131556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf75(X3)))
| leq(skaf83(skaf75(X3)),X1)
| ( skaf75(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf75(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf75(X3)),skaf82(skaf75(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131363,c_259,c_260]) ).
tcf(c_131565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf75(X1)))
| lt(skaf83(skaf75(X1)),X2)
| ( skaf75(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf75(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf75(X1)),skaf82(skaf75(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131326,c_259,c_260]) ).
tcf(c_131574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf75(X1)))
| leq(skaf83(skaf75(X1)),X2)
| ( skaf75(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf75(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf75(X1)),skaf82(skaf75(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131325,c_259,c_260]) ).
tcf(c_131583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf75(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf75(X3)))
| ~ leq(skaf83(skaf75(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf75(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf75(X3)),skaf82(skaf75(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131362,c_259,c_260]) ).
tcf(c_131592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf75(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf75(X1)))
| ~ leq(skaf83(skaf75(X1)),X2)
| ~ ssList(app(app(X0,skaf75(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf75(X1)),skaf82(skaf75(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131324,c_259,c_260]) ).
tcf(c_131700,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf58(X0))))
| ( app(iPr_def_12,skaf58(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf58(X0)))
| ~ ssList(app(iPr_def_12,skaf58(X0))) ),
inference(superposition,[status(thm)],[c_124172,c_407]) ).
tcf(c_131701,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf58(X0))))
| ( app(iPr_def_12,skaf58(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf58(X0)))
| ~ ssList(app(iPr_def_12,skaf58(X0))) ),
inference(superposition,[status(thm)],[c_124172,c_406]) ).
tcf(c_131717,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf57(X0))))
| ( app(iPr_def_12,skaf57(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf57(X0)))
| ~ ssList(app(iPr_def_12,skaf57(X0))) ),
inference(superposition,[status(thm)],[c_124173,c_407]) ).
tcf(c_131718,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf57(X0))))
| ( app(iPr_def_12,skaf57(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf57(X0)))
| ~ ssList(app(iPr_def_12,skaf57(X0))) ),
inference(superposition,[status(thm)],[c_124173,c_406]) ).
tcf(c_131760,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf56(X0))))
| ( app(iPr_def_12,skaf56(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf56(X0)))
| ~ ssList(app(iPr_def_12,skaf56(X0))) ),
inference(superposition,[status(thm)],[c_124174,c_407]) ).
tcf(c_131761,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf56(X0))))
| ( app(iPr_def_12,skaf56(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf56(X0)))
| ~ ssList(app(iPr_def_12,skaf56(X0))) ),
inference(superposition,[status(thm)],[c_124174,c_406]) ).
tcf(c_131796,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf53(X0))))
| ( app(iPr_def_12,skaf53(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf53(X0)))
| ~ ssList(app(iPr_def_12,skaf53(X0))) ),
inference(superposition,[status(thm)],[c_124175,c_407]) ).
tcf(c_131797,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf53(X0))))
| ( app(iPr_def_12,skaf53(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf53(X0)))
| ~ ssList(app(iPr_def_12,skaf53(X0))) ),
inference(superposition,[status(thm)],[c_124175,c_406]) ).
tcf(c_131813,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf52(X0))))
| ( app(iPr_def_12,skaf52(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf52(X0)))
| ~ ssList(app(iPr_def_12,skaf52(X0))) ),
inference(superposition,[status(thm)],[c_124176,c_407]) ).
tcf(c_131814,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf52(X0))))
| ( app(iPr_def_12,skaf52(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf52(X0)))
| ~ ssList(app(iPr_def_12,skaf52(X0))) ),
inference(superposition,[status(thm)],[c_124176,c_406]) ).
tcf(c_131895,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X1,app(iPr_def_12,skaf51(X0))))
| ( app(iPr_def_12,skaf51(X0)) = nil )
| ~ ssItem(X1)
| ~ lt(X1,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf51(X0)))
| ~ ssList(app(iPr_def_12,skaf51(X0))) ),
inference(superposition,[status(thm)],[c_124177,c_407]) ).
tcf(c_131896,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X1,app(iPr_def_12,skaf51(X0))))
| ( app(iPr_def_12,skaf51(X0)) = nil )
| ~ ssItem(X1)
| ~ leq(X1,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf51(X0)))
| ~ ssList(app(iPr_def_12,skaf51(X0))) ),
inference(superposition,[status(thm)],[c_124177,c_406]) ).
tcf(c_131927,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(X0,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_383,c_125361]) ).
tcf(c_131928,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk5,app(sk4,sk7))),sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ ssList(app(X0,cons(sk5,app(sk4,sk7)))) ),
inference(superposition,[status(thm)],[c_807,c_125361]) ).
tcf(c_131929,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_83159,c_125361]) ).
tcf(c_131931,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_81233,c_125361]) ).
tcf(c_131932,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_107723,c_125361]) ).
tcf(c_131934,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_93147,c_125361]) ).
tcf(c_131935,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_120412,c_125361]) ).
tcf(c_131937,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_117779,c_125361]) ).
tcf(c_131938,plain,
( rearsegP(cons(sk5,sk4),sk7)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_66416,c_125361]) ).
tcf(c_131939,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68240,c_125361]) ).
tcf(c_131940,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68547,c_125361]) ).
tcf(c_131941,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68977,c_125361]) ).
tcf(c_131944,plain,
( rearsegP(cons(sk5,sk4),sk7)
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131938,c_66402,c_124771]) ).
tcf(c_131947,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk5,app(sk4,sk7))),sk7)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sk5,app(sk4,sk7)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131928,c_124771]) ).
tcf(c_131951,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131941,c_68959,c_124771]) ).
tcf(c_131954,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131940,c_68529,c_124771]) ).
tcf(c_131957,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131939,c_68222,c_124771]) ).
tcf(c_131960,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131937,c_112795,c_124771]) ).
tcf(c_131963,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131935,c_112801,c_124771]) ).
tcf(c_131966,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131934,c_89535,c_124771]) ).
tcf(c_131969,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131932,c_89541,c_124771]) ).
tcf(c_131972,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131931,c_79220,c_124771]) ).
tcf(c_131975,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131929,c_79226,c_124771]) ).
tcf(c_131978,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131927,c_124771]) ).
tcf(c_131986,plain,
frontsegP(cons(sk5,app(sk7,sk7)),cons(sk5,sk7)),
inference(global_subsumption_just,[status(thm)],[c_125533,c_125533,c_127316]) ).
tcf(c_131988,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk5,sk7))
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk5,app(sk7,sk7)))
| ~ frontsegP(X0,cons(sk5,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_131986,c_401]) ).
tcf(c_131989,plain,
( ( app(cons(sk5,sk7),skaf45(cons(sk5,app(sk7,sk7)),cons(sk5,sk7))) = cons(sk5,app(sk7,sk7)) )
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk5,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_131986,c_379]) ).
tcf(c_131990,plain,
( ( cons(sk5,app(sk7,sk7)) = cons(sk5,sk7) )
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk5,app(sk7,sk7)))
| ~ frontsegP(cons(sk5,sk7),cons(sk5,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_131986,c_376]) ).
tcf(c_131992,plain,
( frontsegP(app(sk7,sk7),sk7)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_131986,c_421]) ).
tcf(c_131993,plain,
( frontsegP(app(sk7,sk7),sk7)
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131992,c_6485,c_6483]) ).
tcf(c_131996,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk5,sk7))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk5,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131988,c_127316,c_127364]) ).
tcf(c_132000,plain,
( ( cons(sk5,app(sk7,sk7)) = cons(sk5,sk7) )
| ~ frontsegP(cons(sk5,sk7),cons(sk5,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131990,c_127316,c_127364]) ).
tcf(c_132003,plain,
app(cons(sk5,sk7),skaf45(cons(sk5,app(sk7,sk7)),cons(sk5,sk7))) = cons(sk5,app(sk7,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_131989,c_127316,c_127364]) ).
tcf(c_132009,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ frontsegP(X0,app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_131993,c_401]) ).
tcf(c_132010,plain,
( ( app(sk7,skaf45(app(sk7,sk7),sk7)) = app(sk7,sk7) )
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_131993,c_379]) ).
tcf(c_132011,plain,
( ( app(sk7,sk7) = sk7 )
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk7))
| ~ frontsegP(sk7,app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_131993,c_376]) ).
tcf(c_132012,plain,
( ( app(sk7,sk7) = sk7 )
| ~ ssList(app(sk7,sk7))
| ~ frontsegP(sk7,app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132011,c_6483]) ).
tcf(c_132016,plain,
( ( app(sk7,skaf45(app(sk7,sk7),sk7)) = app(sk7,sk7) )
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132010,c_6483]) ).
tcf(c_132019,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ ssList(app(sk7,sk7))
| ~ frontsegP(X0,app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132009,c_6483]) ).
tcf(c_132042,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk5,sk8))
| ~ ssList(X0)
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk7)))
| ~ frontsegP(X0,cons(sk5,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_127599,c_401]) ).
tcf(c_132043,plain,
( ( app(cons(sk5,sk8),skaf45(cons(sk5,app(sk8,sk7)),cons(sk5,sk8))) = cons(sk5,app(sk8,sk7)) )
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_127599,c_379]) ).
tcf(c_132044,plain,
( ( cons(sk5,app(sk8,sk7)) = cons(sk5,sk8) )
| ~ ssList(cons(sk5,sk8))
| ~ ssList(cons(sk5,app(sk8,sk7)))
| ~ frontsegP(cons(sk5,sk8),cons(sk5,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_127599,c_376]) ).
tcf(c_132046,plain,
( frontsegP(app(sk8,sk7),sk8)
| ~ ssItem(sk5)
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk7))
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127599,c_421]) ).
tcf(c_132047,plain,
( frontsegP(app(sk8,sk7),sk8)
| ~ ssList(app(sk8,sk7))
| ~ ssList(cons(sk5,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132046,c_6485,c_6482]) ).
tcf(c_132075,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(X0,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_383,c_129350]) ).
tcf(c_132076,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk5,app(sk7,sk4))),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ ssList(app(X0,cons(sk5,app(sk7,sk4)))) ),
inference(superposition,[status(thm)],[c_807,c_129350]) ).
tcf(c_132078,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_82342,c_129350]) ).
tcf(c_132079,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk4)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk8,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_81233,c_129350]) ).
tcf(c_132081,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_106791,c_129350]) ).
tcf(c_132082,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk8,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_93147,c_129350]) ).
tcf(c_132084,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_118918,c_129350]) ).
tcf(c_132085,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk8,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_117779,c_129350]) ).
tcf(c_132090,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_124789,c_129350]) ).
tcf(c_132091,plain,
( rearsegP(cons(sk5,sk7),sk4)
| ~ ssList(cons(sk5,sk7))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_127333,c_129350]) ).
tcf(c_132092,plain,
( rearsegP(cons(sk5,sk7),sk4)
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132091,c_127316,c_127367]) ).
tcf(c_132095,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk5,app(sk7,sk4))),sk4)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sk5,app(sk7,sk4)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132076,c_127367]) ).
tcf(c_132099,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132090,c_127367,c_124771]) ).
tcf(c_132102,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132085,c_112795,c_127367]) ).
tcf(c_132105,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132084,c_112798,c_127367]) ).
tcf(c_132108,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132082,c_89535,c_127367]) ).
tcf(c_132111,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132081,c_89538,c_127367]) ).
tcf(c_132114,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk4)
| ~ rearsegP(sk8,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132079,c_79220,c_127367]) ).
tcf(c_132117,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132078,c_79223,c_127367]) ).
tcf(c_132120,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132075,c_127367]) ).
tcf(c_132198,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk4)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_419,c_131101]) ).
tcf(c_132199,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,cons(sk5,app(sk4,sk7))),X1),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ ssList(app(app(X0,cons(sk5,app(sk4,sk7))),X1)) ),
inference(superposition,[status(thm)],[c_420,c_131101]) ).
tcf(c_132200,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(iPr_def_12,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20331,c_131101]) ).
tcf(c_132201,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20339,c_131101]) ).
tcf(c_132204,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(nil,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20310,c_131101]) ).
tcf(c_132205,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20290,c_131101]) ).
tcf(c_132206,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(nil,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20305,c_131101]) ).
tcf(c_132207,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20285,c_131101]) ).
tcf(c_132208,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_36763,c_131101]) ).
tcf(c_132209,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_36958,c_131101]) ).
tcf(c_132210,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_37047,c_131101]) ).
tcf(c_132220,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk4)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_46269,c_131101]) ).
tcf(c_132221,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk4)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_46627,c_131101]) ).
tcf(c_132222,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk4)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_46935,c_131101]) ).
tcf(c_132223,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk4)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_49501,c_131101]) ).
tcf(c_132224,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk4)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_50076,c_131101]) ).
tcf(c_132225,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk4)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_50639,c_131101]) ).
tcf(c_132226,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk4)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_52483,c_131101]) ).
tcf(c_132227,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk4)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_53190,c_131101]) ).
tcf(c_132228,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk4)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_53742,c_131101]) ).
tcf(c_132229,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk4)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_57364,c_131101]) ).
tcf(c_132230,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk4)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_57774,c_131101]) ).
tcf(c_132231,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk4)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_58149,c_131101]) ).
tcf(c_132232,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk4)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_59837,c_131101]) ).
tcf(c_132233,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk4)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_60305,c_131101]) ).
tcf(c_132234,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk4)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_60713,c_131101]) ).
tcf(c_132235,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk4)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_62324,c_131101]) ).
tcf(c_132236,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk4)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_62735,c_131101]) ).
tcf(c_132237,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk4)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_63072,c_131101]) ).
tcf(c_132238,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_66437,c_131101]) ).
tcf(c_132240,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk4)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68531,c_131101]) ).
tcf(c_132241,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk4)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68961,c_131101]) ).
tcf(c_132244,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132207,c_124771]) ).
tcf(c_132249,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(nil,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132206,c_124771]) ).
tcf(c_132254,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132205,c_124771]) ).
tcf(c_132259,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(nil,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132204,c_124771]) ).
tcf(c_132264,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132201,c_124771]) ).
tcf(c_132269,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(iPr_def_12,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132200,c_124771]) ).
tcf(c_132274,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk4)
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132241,c_68959,c_124771]) ).
tcf(c_132277,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk4)
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132240,c_68529,c_124771]) ).
tcf(c_132280,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk4)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132237,c_124771]) ).
tcf(c_132284,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk4)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132236,c_124771]) ).
tcf(c_132288,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk4)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132235,c_124771]) ).
tcf(c_132292,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk4)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132234,c_124771]) ).
tcf(c_132296,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk4)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132233,c_124771]) ).
tcf(c_132300,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk4)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132232,c_124771]) ).
tcf(c_132304,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk4)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132231,c_124771]) ).
tcf(c_132308,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk4)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132230,c_124771]) ).
tcf(c_132312,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk4)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132229,c_124771]) ).
tcf(c_132316,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk4)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132228,c_124771]) ).
tcf(c_132320,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk4)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132227,c_124771]) ).
tcf(c_132324,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk4)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132226,c_124771]) ).
tcf(c_132328,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk4)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132225,c_124771]) ).
tcf(c_132332,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk4)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132224,c_124771]) ).
tcf(c_132336,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk4)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132223,c_124771]) ).
tcf(c_132340,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk4)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132222,c_124771]) ).
tcf(c_132344,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk4)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132221,c_124771]) ).
tcf(c_132348,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk4)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132220,c_124771]) ).
tcf(c_132353,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132210,c_124771]) ).
tcf(c_132358,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132209,c_124771]) ).
tcf(c_132364,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,cons(sk5,app(sk4,sk7))),X1),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(sk5,app(sk4,sk7))),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132199,c_124771]) ).
tcf(c_132369,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk4)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132198,c_124771]) ).
tcf(c_132511,plain,
cons(sk6,app(sk4,sk7)) = app(cons(sk6,sk4),sk7),
inference(superposition,[status(thm)],[c_6486,c_122890]) ).
tcf(c_132512,plain,
cons(sk6,app(sk7,sk7)) = app(cons(sk6,sk7),sk7),
inference(superposition,[status(thm)],[c_6483,c_122890]) ).
tcf(c_132513,plain,
cons(sk6,app(sk8,sk7)) = app(cons(sk6,sk8),sk7),
inference(superposition,[status(thm)],[c_6482,c_122890]) ).
tcf(c_132514,plain,
cons(sk6,app(nil,sk7)) = app(cons(sk6,nil),sk7),
inference(superposition,[status(thm)],[c_255,c_122890]) ).
tcf(c_132515,plain,
! [X0: $i] : cons(sk6,app(skaf82(X0),sk7)) = app(cons(sk6,skaf82(X0)),sk7),
inference(superposition,[status(thm)],[c_260,c_122890]) ).
tcf(c_132516,plain,
! [X0: $i] : cons(sk6,app(skaf81(X0),sk7)) = app(cons(sk6,skaf81(X0)),sk7),
inference(superposition,[status(thm)],[c_261,c_122890]) ).
tcf(c_132517,plain,
! [X0: $i] : cons(sk6,app(skaf80(X0),sk7)) = app(cons(sk6,skaf80(X0)),sk7),
inference(superposition,[status(thm)],[c_262,c_122890]) ).
tcf(c_132518,plain,
! [X0: $i] : cons(sk6,app(skaf77(X0),sk7)) = app(cons(sk6,skaf77(X0)),sk7),
inference(superposition,[status(thm)],[c_265,c_122890]) ).
tcf(c_132519,plain,
! [X0: $i] : cons(sk6,app(skaf76(X0),sk7)) = app(cons(sk6,skaf76(X0)),sk7),
inference(superposition,[status(thm)],[c_266,c_122890]) ).
tcf(c_132520,plain,
! [X0: $i] : cons(sk6,app(skaf75(X0),sk7)) = app(cons(sk6,skaf75(X0)),sk7),
inference(superposition,[status(thm)],[c_267,c_122890]) ).
tcf(c_132521,plain,
! [X0: $i] : cons(sk6,app(skaf73(X0),sk7)) = app(cons(sk6,skaf73(X0)),sk7),
inference(superposition,[status(thm)],[c_269,c_122890]) ).
tcf(c_132522,plain,
! [X0: $i] : cons(sk6,app(skaf72(X0),sk7)) = app(cons(sk6,skaf72(X0)),sk7),
inference(superposition,[status(thm)],[c_270,c_122890]) ).
tcf(c_132523,plain,
! [X0: $i] : cons(sk6,app(skaf71(X0),sk7)) = app(cons(sk6,skaf71(X0)),sk7),
inference(superposition,[status(thm)],[c_271,c_122890]) ).
tcf(c_132524,plain,
! [X0: $i] : cons(sk6,app(skaf68(X0),sk7)) = app(cons(sk6,skaf68(X0)),sk7),
inference(superposition,[status(thm)],[c_274,c_122890]) ).
tcf(c_132525,plain,
! [X0: $i] : cons(sk6,app(skaf67(X0),sk7)) = app(cons(sk6,skaf67(X0)),sk7),
inference(superposition,[status(thm)],[c_275,c_122890]) ).
tcf(c_132526,plain,
! [X0: $i] : cons(sk6,app(skaf66(X0),sk7)) = app(cons(sk6,skaf66(X0)),sk7),
inference(superposition,[status(thm)],[c_276,c_122890]) ).
tcf(c_132527,plain,
! [X0: $i] : cons(sk6,app(skaf63(X0),sk7)) = app(cons(sk6,skaf63(X0)),sk7),
inference(superposition,[status(thm)],[c_279,c_122890]) ).
tcf(c_132528,plain,
! [X0: $i] : cons(sk6,app(skaf62(X0),sk7)) = app(cons(sk6,skaf62(X0)),sk7),
inference(superposition,[status(thm)],[c_280,c_122890]) ).
tcf(c_132529,plain,
! [X0: $i] : cons(sk6,app(skaf61(X0),sk7)) = app(cons(sk6,skaf61(X0)),sk7),
inference(superposition,[status(thm)],[c_281,c_122890]) ).
tcf(c_132530,plain,
! [X0: $i] : cons(sk6,app(skaf58(X0),sk7)) = app(cons(sk6,skaf58(X0)),sk7),
inference(superposition,[status(thm)],[c_284,c_122890]) ).
tcf(c_132531,plain,
! [X0: $i] : cons(sk6,app(skaf57(X0),sk7)) = app(cons(sk6,skaf57(X0)),sk7),
inference(superposition,[status(thm)],[c_285,c_122890]) ).
tcf(c_132532,plain,
! [X0: $i] : cons(sk6,app(skaf56(X0),sk7)) = app(cons(sk6,skaf56(X0)),sk7),
inference(superposition,[status(thm)],[c_286,c_122890]) ).
tcf(c_132533,plain,
! [X0: $i] : cons(sk6,app(skaf53(X0),sk7)) = app(cons(sk6,skaf53(X0)),sk7),
inference(superposition,[status(thm)],[c_289,c_122890]) ).
tcf(c_132534,plain,
! [X0: $i] : cons(sk6,app(skaf52(X0),sk7)) = app(cons(sk6,skaf52(X0)),sk7),
inference(superposition,[status(thm)],[c_290,c_122890]) ).
tcf(c_132535,plain,
! [X0: $i] : cons(sk6,app(skaf51(X0),sk7)) = app(cons(sk6,skaf51(X0)),sk7),
inference(superposition,[status(thm)],[c_291,c_122890]) ).
tcf(c_132536,plain,
! [X0: $i,X1: $i] : cons(sk6,app(skaf48(X0,X1),sk7)) = app(cons(sk6,skaf48(X0,X1)),sk7),
inference(superposition,[status(thm)],[c_295,c_122890]) ).
tcf(c_132537,plain,
! [X0: $i,X1: $i] : cons(sk6,app(skaf47(X0,X1),sk7)) = app(cons(sk6,skaf47(X0,X1)),sk7),
inference(superposition,[status(thm)],[c_296,c_122890]) ).
tcf(c_132538,plain,
! [X0: $i,X1: $i] : cons(sk6,app(skaf46(X0,X1),sk7)) = app(cons(sk6,skaf46(X0,X1)),sk7),
inference(superposition,[status(thm)],[c_297,c_122890]) ).
tcf(c_132539,plain,
! [X0: $i,X1: $i] : cons(sk6,app(skaf45(X0,X1),sk7)) = app(cons(sk6,skaf45(X0,X1)),sk7),
inference(superposition,[status(thm)],[c_298,c_122890]) ).
tcf(c_132540,plain,
! [X0: $i,X1: $i] : cons(sk6,app(skaf43(X0,X1),sk7)) = app(cons(sk6,skaf43(X0,X1)),sk7),
inference(superposition,[status(thm)],[c_299,c_122890]) ).
tcf(c_132541,plain,
! [X0: $i,X1: $i] : cons(sk6,app(skaf42(X0,X1),sk7)) = app(cons(sk6,skaf42(X0,X1)),sk7),
inference(superposition,[status(thm)],[c_300,c_122890]) ).
tcf(c_132542,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sk6,app(tl(X0),sk7)) = app(cons(sk6,tl(X0)),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_324,c_122890]) ).
tcf(c_132543,plain,
! [X0: $i,X1: $i] :
( ( cons(sk6,app(app(X1,X0),sk7)) = app(cons(sk6,app(X1,X0)),sk7) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_332,c_122890]) ).
tcf(c_132544,plain,
! [X0: $i,X1: $i] :
( ( cons(sk6,app(cons(X1,X0),sk7)) = app(cons(sk6,cons(X1,X0)),sk7) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_333,c_122890]) ).
tcf(c_132545,plain,
cons(sk6,app(iPr_def_16,sk7)) = app(cons(sk6,iPr_def_16),sk7),
inference(superposition,[status(thm)],[c_9020,c_122890]) ).
tcf(c_132546,plain,
cons(sk6,app(iPr_def_13,sk7)) = app(cons(sk6,iPr_def_13),sk7),
inference(superposition,[status(thm)],[c_9527,c_122890]) ).
tcf(c_132547,plain,
cons(sk6,app(iPr_def_12,sk7)) = app(cons(sk6,iPr_def_12),sk7),
inference(superposition,[status(thm)],[c_9489,c_122890]) ).
tcf(c_132548,plain,
cons(sk6,app(iPr_def_15,sk7)) = app(cons(sk6,iPr_def_15),sk7),
inference(superposition,[status(thm)],[c_24748,c_122890]) ).
tcf(c_132549,plain,
cons(sk6,app(iPr_def_14,sk7)) = app(cons(sk6,iPr_def_14),sk7),
inference(superposition,[status(thm)],[c_9488,c_122890]) ).
tcf(c_132550,plain,
cons(sk6,app(cons(sk5,sk4),sk7)) = app(cons(sk6,cons(sk5,sk4)),sk7),
inference(superposition,[status(thm)],[c_66402,c_122890]) ).
tcf(c_132551,plain,
cons(sk6,app(cons(sk5,sk7),sk7)) = app(cons(sk6,cons(sk5,sk7)),sk7),
inference(superposition,[status(thm)],[c_127316,c_122890]) ).
tcf(c_132552,plain,
cons(sk6,app(cons(sk6,sk4),sk7)) = app(cons(sk6,cons(sk6,sk4)),sk7),
inference(superposition,[status(thm)],[c_28942,c_122890]) ).
tcf(c_132553,plain,
cons(sk6,app(cons(sk6,sk7),sk7)) = app(cons(sk6,cons(sk6,sk7)),sk7),
inference(superposition,[status(thm)],[c_28940,c_122890]) ).
tcf(c_132554,plain,
cons(sk6,app(cons(sk6,sk8),sk7)) = app(cons(sk6,cons(sk6,sk8)),sk7),
inference(superposition,[status(thm)],[c_28938,c_122890]) ).
tcf(c_132555,plain,
cons(sk6,app(app(sk4,sk4),sk7)) = app(cons(sk6,app(sk4,sk4)),sk7),
inference(superposition,[status(thm)],[c_79152,c_122890]) ).
tcf(c_132556,plain,
cons(sk6,app(app(sk7,sk4),sk7)) = app(cons(sk6,app(sk7,sk4)),sk7),
inference(superposition,[status(thm)],[c_89458,c_122890]) ).
tcf(c_132557,plain,
cons(sk6,app(app(sk8,sk4),sk7)) = app(cons(sk6,app(sk8,sk4)),sk7),
inference(superposition,[status(thm)],[c_112727,c_122890]) ).
tcf(c_132558,plain,
cons(sk6,app(app(sk4,app(sk4,sk4)),sk7)) = app(cons(sk6,app(sk4,app(sk4,sk4))),sk7),
inference(superposition,[status(thm)],[c_79226,c_122890]) ).
tcf(c_132559,plain,
cons(sk6,app(app(sk4,app(sk4,sk7)),sk7)) = app(cons(sk6,app(sk4,app(sk4,sk7))),sk7),
inference(superposition,[status(thm)],[c_79223,c_122890]) ).
tcf(c_132560,plain,
cons(sk6,app(app(sk4,app(sk4,sk8)),sk7)) = app(cons(sk6,app(sk4,app(sk4,sk8))),sk7),
inference(superposition,[status(thm)],[c_79220,c_122890]) ).
tcf(c_132561,plain,
cons(sk6,app(app(sk7,app(sk4,sk4)),sk7)) = app(cons(sk6,app(sk7,app(sk4,sk4))),sk7),
inference(superposition,[status(thm)],[c_89541,c_122890]) ).
tcf(c_132562,plain,
cons(sk6,app(app(sk7,app(sk4,sk7)),sk7)) = app(cons(sk6,app(sk7,app(sk4,sk7))),sk7),
inference(superposition,[status(thm)],[c_89538,c_122890]) ).
tcf(c_132563,plain,
cons(sk6,app(app(sk7,app(sk4,sk8)),sk7)) = app(cons(sk6,app(sk7,app(sk4,sk8))),sk7),
inference(superposition,[status(thm)],[c_89535,c_122890]) ).
tcf(c_132564,plain,
cons(sk6,app(app(sk8,app(sk4,sk4)),sk7)) = app(cons(sk6,app(sk8,app(sk4,sk4))),sk7),
inference(superposition,[status(thm)],[c_112801,c_122890]) ).
tcf(c_132565,plain,
cons(sk6,app(app(sk8,app(sk4,sk7)),sk7)) = app(cons(sk6,app(sk8,app(sk4,sk7))),sk7),
inference(superposition,[status(thm)],[c_112798,c_122890]) ).
tcf(c_132566,plain,
cons(sk6,app(app(sk8,app(sk4,sk8)),sk7)) = app(cons(sk6,app(sk8,app(sk4,sk8))),sk7),
inference(superposition,[status(thm)],[c_112795,c_122890]) ).
tcf(c_132567,plain,
( ( cons(sk6,app(app(sk4,app(sk7,sk4)),sk7)) = app(cons(sk6,app(sk4,app(sk7,sk4))),sk7) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46253,c_122890]) ).
tcf(c_132568,plain,
( ( cons(sk6,app(app(sk4,app(sk7,sk7)),sk7)) = app(cons(sk6,app(sk4,app(sk7,sk7))),sk7) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46611,c_122890]) ).
tcf(c_132569,plain,
( ( cons(sk6,app(app(sk4,app(sk7,sk8)),sk7)) = app(cons(sk6,app(sk4,app(sk7,sk8))),sk7) )
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_46905,c_122890]) ).
tcf(c_132570,plain,
( ( cons(sk6,app(app(sk7,app(sk7,sk4)),sk7)) = app(cons(sk6,app(sk7,app(sk7,sk4))),sk7) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_49485,c_122890]) ).
tcf(c_132571,plain,
( ( cons(sk6,app(app(sk7,app(sk7,sk7)),sk7)) = app(cons(sk6,app(sk7,app(sk7,sk7))),sk7) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50066,c_122890]) ).
tcf(c_132572,plain,
( ( cons(sk6,app(app(sk7,app(sk7,sk8)),sk7)) = app(cons(sk6,app(sk7,app(sk7,sk8))),sk7) )
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_50623,c_122890]) ).
tcf(c_132573,plain,
( ( cons(sk6,app(app(sk8,app(sk7,sk4)),sk7)) = app(cons(sk6,app(sk8,app(sk7,sk4))),sk7) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_52453,c_122890]) ).
tcf(c_132574,plain,
( ( cons(sk6,app(app(sk8,app(sk7,sk7)),sk7)) = app(cons(sk6,app(sk8,app(sk7,sk7))),sk7) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53174,c_122890]) ).
tcf(c_132575,plain,
( ( cons(sk6,app(app(sk8,app(sk7,sk8)),sk7)) = app(cons(sk6,app(sk8,app(sk7,sk8))),sk7) )
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_53726,c_122890]) ).
tcf(c_132576,plain,
( ( cons(sk6,app(app(sk4,app(sk8,sk4)),sk7)) = app(cons(sk6,app(sk4,app(sk8,sk4))),sk7) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57348,c_122890]) ).
tcf(c_132577,plain,
( ( cons(sk6,app(app(sk4,app(sk8,sk7)),sk7)) = app(cons(sk6,app(sk4,app(sk8,sk7))),sk7) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_57741,c_122890]) ).
tcf(c_132578,plain,
( ( cons(sk6,app(app(sk4,app(sk8,sk8)),sk7)) = app(cons(sk6,app(sk4,app(sk8,sk8))),sk7) )
| ~ ssList(app(sk4,sk8)) ),
inference(superposition,[status(thm)],[c_58133,c_122890]) ).
tcf(c_132579,plain,
( ( cons(sk6,app(app(sk7,app(sk8,sk4)),sk7)) = app(cons(sk6,app(sk7,app(sk8,sk4))),sk7) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_59804,c_122890]) ).
tcf(c_132580,plain,
( ( cons(sk6,app(app(sk7,app(sk8,sk7)),sk7)) = app(cons(sk6,app(sk7,app(sk8,sk7))),sk7) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60289,c_122890]) ).
tcf(c_132581,plain,
( ( cons(sk6,app(app(sk7,app(sk8,sk8)),sk7)) = app(cons(sk6,app(sk7,app(sk8,sk8))),sk7) )
| ~ ssList(app(sk7,sk8)) ),
inference(superposition,[status(thm)],[c_60697,c_122890]) ).
tcf(c_132582,plain,
( ( cons(sk6,app(app(sk8,app(sk8,sk4)),sk7)) = app(cons(sk6,app(sk8,app(sk8,sk4))),sk7) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62308,c_122890]) ).
tcf(c_132583,plain,
( ( cons(sk6,app(app(sk8,app(sk8,sk7)),sk7)) = app(cons(sk6,app(sk8,app(sk8,sk7))),sk7) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_62719,c_122890]) ).
tcf(c_132584,plain,
( ( cons(sk6,app(app(sk8,app(sk8,sk8)),sk7)) = app(cons(sk6,app(sk8,app(sk8,sk8))),sk7) )
| ~ ssList(app(sk8,sk8)) ),
inference(superposition,[status(thm)],[c_63062,c_122890]) ).
tcf(c_132585,plain,
cons(sk6,app(cons(sk5,app(sk4,sk4)),sk7)) = app(cons(sk6,cons(sk5,app(sk4,sk4))),sk7),
inference(superposition,[status(thm)],[c_66447,c_122890]) ).
tcf(c_132586,plain,
cons(sk6,app(cons(sk5,app(sk7,sk4)),sk7)) = app(cons(sk6,cons(sk5,app(sk7,sk4))),sk7),
inference(superposition,[status(thm)],[c_127367,c_122890]) ).
tcf(c_132587,plain,
( ( cons(sk6,app(cons(sk5,app(sk8,sk4)),sk7)) = app(cons(sk6,cons(sk5,app(sk8,sk4))),sk7) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_65991,c_122890]) ).
tcf(c_132588,plain,
cons(sk6,app(cons(sk6,app(sk4,sk4)),sk7)) = app(cons(sk6,cons(sk6,app(sk4,sk4))),sk7),
inference(superposition,[status(thm)],[c_68222,c_122890]) ).
tcf(c_132589,plain,
cons(sk6,app(cons(sk6,app(sk7,sk4)),sk7)) = app(cons(sk6,cons(sk6,app(sk7,sk4))),sk7),
inference(superposition,[status(thm)],[c_68529,c_122890]) ).
tcf(c_132590,plain,
cons(sk6,app(cons(sk6,app(sk8,sk4)),sk7)) = app(cons(sk6,cons(sk6,app(sk8,sk4))),sk7),
inference(superposition,[status(thm)],[c_68959,c_122890]) ).
tcf(c_132591,plain,
cons(sk6,app(cons(sk5,app(sk4,sk7)),sk7)) = app(cons(sk6,cons(sk5,app(sk4,sk7))),sk7),
inference(superposition,[status(thm)],[c_124771,c_122890]) ).
tcf(c_132592,plain,
cons(sk6,app(cons(sk5,app(sk7,sk7)),sk7)) = app(cons(sk6,cons(sk5,app(sk7,sk7))),sk7),
inference(superposition,[status(thm)],[c_127364,c_122890]) ).
tcf(c_132593,plain,
( ( cons(sk6,app(cons(sk5,app(sk8,sk7)),sk7)) = app(cons(sk6,cons(sk5,app(sk8,sk7))),sk7) )
| ~ ssList(cons(sk5,sk8)) ),
inference(superposition,[status(thm)],[c_127593,c_122890]) ).
tcf(c_132594,plain,
cons(sk6,cons(sk6,sk7)) = app(cons(sk6,iPr_def_14),sk7),
inference(light_normalisation,[status(thm)],[c_132549,c_28959]) ).
tcf(c_132595,plain,
cons(sk6,cons(sk5,sk7)) = app(cons(sk6,iPr_def_12),sk7),
inference(light_normalisation,[status(thm)],[c_132547,c_123158]) ).
tcf(c_132597,plain,
cons(sk6,app(sk8,app(sk4,sk7))) = app(cons(sk6,app(sk8,sk4)),sk7),
inference(light_normalisation,[status(thm)],[c_132557,c_42874]) ).
tcf(c_132598,plain,
cons(sk6,app(sk7,app(sk4,sk7))) = app(cons(sk6,app(sk7,sk4)),sk7),
inference(light_normalisation,[status(thm)],[c_132556,c_40760]) ).
tcf(c_132599,plain,
cons(sk6,app(sk4,app(sk4,sk7))) = app(cons(sk6,app(sk4,sk4)),sk7),
inference(light_normalisation,[status(thm)],[c_132555,c_37936]) ).
tcf(c_132600,plain,
cons(sk6,cons(sk5,app(sk7,sk7))) = app(cons(sk6,cons(sk5,sk7)),sk7),
inference(light_normalisation,[status(thm)],[c_132551,c_123079]) ).
tcf(c_132601,plain,
cons(sk6,cons(sk5,app(sk4,sk7))) = app(cons(sk6,cons(sk5,sk4)),sk7),
inference(light_normalisation,[status(thm)],[c_132550,c_123078]) ).
tcf(c_132602,plain,
cons(sk6,cons(sk5,app(sk7,app(sk4,sk7)))) = app(cons(sk6,cons(sk5,app(sk7,sk4))),sk7),
inference(light_normalisation,[status(thm)],[c_132586,c_123160]) ).
tcf(c_132603,plain,
cons(sk6,cons(sk5,app(sk4,app(sk4,sk7)))) = app(cons(sk6,cons(sk5,app(sk4,sk4))),sk7),
inference(light_normalisation,[status(thm)],[c_132585,c_123161]) ).
tcf(c_132615,plain,
( ( cons(sk6,cons(sk5,app(sk8,app(sk4,sk7)))) = app(cons(sk6,cons(sk5,app(sk8,sk4))),sk7) )
| ~ ssList(cons(sk5,sk8)) ),
inference(light_normalisation,[status(thm)],[c_132587,c_123159]) ).
tcf(c_132961,plain,
( ssList(cons(sk6,app(sk4,sk7)))
| ~ ssList(sk7)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_132511,c_332]) ).
tcf(c_132962,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(app(cons(sk6,sk4),sk7),X0)) ),
inference(superposition,[status(thm)],[c_132511,c_420]) ).
tcf(c_132963,plain,
! [X0: $i] :
( ( cons(sk6,sk4) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ( cons(sk6,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_132511,c_398]) ).
tcf(c_132965,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(cons(sk6,sk4),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,sk4))
| ~ memberP(cons(sk6,app(sk4,sk7)),X0) ),
inference(superposition,[status(thm)],[c_132511,c_405]) ).
tcf(c_132966,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(cons(sk6,sk4))
| ( cons(sk6,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_132511,c_366]) ).
tcf(c_132967,plain,
( ( cons(sk6,sk4) = nil )
| ~ ssList(sk7)
| ~ ssList(cons(sk6,sk4))
| ( cons(sk6,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_132511,c_365]) ).
tcf(c_132968,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),cons(sk6,sk4))
| ~ ssList(sk7)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_132511,c_808]) ).
tcf(c_132969,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_132511,c_807]) ).
tcf(c_132970,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_132511,c_388]) ).
tcf(c_132971,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_132511,c_383]) ).
tcf(c_132972,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ( app(cons(sk6,sk4),X0) != cons(sk6,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_132511,c_397]) ).
tcf(c_132973,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,sk4))
| ~ memberP(cons(sk6,sk4),X0) ),
inference(superposition,[status(thm)],[c_132511,c_387]) ).
tcf(c_132974,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(cons(sk6,sk4),X0) ),
inference(superposition,[status(thm)],[c_132511,c_384]) ).
tcf(c_132975,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk4,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_132511,c_419]) ).
tcf(c_132976,plain,
( ( cons(sk6,sk4) = iPr_def_14 )
| ~ ssList(cons(sk6,sk4))
| ( cons(sk6,app(sk4,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_132511,c_51335]) ).
tcf(c_132977,plain,
( ( cons(sk6,sk4) = nil )
| ~ ssList(cons(sk6,sk4))
| ( cons(sk6,app(sk4,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_132511,c_17625]) ).
tcf(c_132978,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk4)
| ~ ssList(sk7)
| ~ ssList(app(cons(sk6,sk4),sk7)) ),
inference(superposition,[status(thm)],[c_132511,c_36827]) ).
tcf(c_132979,plain,
! [X0: $i] :
( segmentP(cons(sk6,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_132511,c_36763]) ).
tcf(c_132980,plain,
ssList(cons(sk6,app(sk4,sk7))),
inference(forward_subsumption_resolution,[status(thm)],[c_132961,c_6483,c_28942]) ).
tcf(c_132981,plain,
rearsegP(cons(sk6,app(sk4,sk7)),sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_132969,c_6483,c_28942]) ).
tcf(c_132982,plain,
! [X0: $i] :
( segmentP(cons(sk6,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132979,c_6483]) ).
tcf(c_132986,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk4)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(light_normalisation,[status(thm)],[c_132978,c_132511]) ).
tcf(c_132987,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132986,c_6483]) ).
tcf(c_132990,plain,
frontsegP(cons(sk6,app(sk4,sk7)),cons(sk6,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_132968,c_6483,c_28942]) ).
tcf(c_132991,plain,
cons(sk6,app(sk4,sk7)) != sk7,
inference(forward_subsumption_resolution,[status(thm)],[c_132977,c_37616,c_28942]) ).
tcf(c_132995,plain,
( ( cons(sk6,sk4) = iPr_def_14 )
| ( cons(sk6,app(sk4,sk7)) != cons(sk6,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132976,c_28942]) ).
tcf(c_132998,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132971,c_6483,c_28942]) ).
tcf(c_133002,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132970,c_6483,c_28942]) ).
tcf(c_133006,plain,
cons(sk6,app(sk4,sk7)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_132967,c_37616,c_6483,c_28942]) ).
tcf(c_133007,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132974,c_6483,c_28942]) ).
tcf(c_133011,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132973,c_6483,c_28942]) ).
tcf(c_133015,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk4,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132975,c_6483,c_28942]) ).
tcf(c_133020,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(cons(sk6,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk4,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132965,c_6483,c_28942]) ).
tcf(c_133025,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(cons(sk6,sk4),X0) != cons(sk6,app(sk4,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132972,c_6483,c_28942]) ).
tcf(c_133029,plain,
! [X0: $i] :
( ( cons(sk6,sk4) = X0 )
| ~ ssList(X0)
| ( cons(sk6,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132963,c_6483,c_28942]) ).
tcf(c_133033,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(app(cons(sk6,app(sk4,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_132962,c_132511]) ).
tcf(c_133034,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk4,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,app(sk4,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133033,c_6483,c_28942]) ).
tcf(c_133099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf73(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf73(X1)))
| ~ ssList(skaf82(skaf73(X1)))
| ~ leq(X2,skaf83(skaf73(X1)))
| ~ leq(skaf83(skaf73(X1)),X2)
| ~ ssList(app(app(X0,skaf73(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf73(X1)),skaf82(skaf73(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10992,c_432]) ).
tcf(c_133100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf73(X1)))
| leq(skaf83(skaf73(X1)),X2)
| ( skaf73(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf73(X1)))
| ~ ssList(skaf82(skaf73(X1)))
| ~ ssList(app(app(X0,skaf73(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf73(X1)),skaf82(skaf73(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10992,c_431]) ).
tcf(c_133101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf73(X1)))
| lt(skaf83(skaf73(X1)),X2)
| ( skaf73(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf73(X1)))
| ~ ssList(skaf82(skaf73(X1)))
| ~ ssList(app(app(X0,skaf73(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf73(X1)),skaf82(skaf73(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10992,c_430]) ).
tcf(c_133102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf73(X1)),X2)
| ( skaf73(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf73(X1)))
| ~ ssList(skaf82(skaf73(X1)))
| ~ ssList(app(app(X0,skaf73(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf73(X1)),skaf82(skaf73(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10992,c_429]) ).
tcf(c_133103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf73(X1)),X2)
| ( skaf73(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf73(X1)))
| ~ ssList(skaf82(skaf73(X1)))
| ~ ssList(app(app(X0,skaf73(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf73(X1)),skaf82(skaf73(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10992,c_428]) ).
tcf(c_133104,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf73(X1)))
| ~ ssList(skaf82(skaf73(X1)))
| ~ ssList(app(app(X0,skaf73(X1)),cons(skaf83(skaf73(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf73(X1)),skaf82(skaf73(X1)))),cons(skaf83(skaf73(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10992,c_426]) ).
tcf(c_133105,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf73(X1)),skaf83(skaf73(X1)))
| ( skaf73(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf73(X1)))
| ~ ssList(skaf82(skaf73(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf73(X1)),skaf82(skaf73(X1))))) ),
inference(superposition,[status(thm)],[c_10992,c_422]) ).
tcf(c_133106,plain,
! [X0: $i] :
( memberP(skaf73(X0),skaf83(skaf73(X0)))
| ( skaf73(X0) = nil )
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10992,c_385]) ).
tcf(c_133108,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( skaf82(skaf73(X0)) = nil )
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0)))
| ( skaf73(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10992,c_21847]) ).
tcf(c_133109,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( skaf82(skaf73(X0)) = nil )
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0)))
| ( skaf73(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10992,c_21842]) ).
tcf(c_133110,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( skaf83(skaf73(X0)) = sk5 )
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0)))
| ( skaf73(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10992,c_21750]) ).
tcf(c_133111,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( skaf83(skaf73(X0)) = sk6 )
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0)))
| ( skaf73(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10992,c_21745]) ).
tcf(c_133112,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( skaf83(skaf73(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf73(X0))
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10992,c_21595]) ).
tcf(c_133113,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( skaf83(skaf73(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf73(X0))
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10992,c_21590]) ).
tcf(c_133114,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( skaf83(skaf73(X0)) = sk5 )
| ~ frontsegP(skaf73(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10992,c_21585]) ).
tcf(c_133115,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( skaf83(skaf73(X0)) = sk6 )
| ~ frontsegP(skaf73(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10992,c_21580]) ).
tcf(c_133116,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf73(X0)))
| ( skaf73(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf73(X0))
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10992,c_21202]) ).
tcf(c_133117,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf73(X0)))
| ( skaf73(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf73(X0))
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10992,c_21197]) ).
tcf(c_133120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X0) = nil )
| ( skaf83(skaf73(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0)))
| ~ frontsegP(skaf73(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10992,c_423]) ).
tcf(c_133121,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf73(X0)),X2)
| ( skaf73(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0)))
| ~ frontsegP(skaf73(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10992,c_421]) ).
tcf(c_133122,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf73(X0)),X1)
| ( skaf73(X0) = nil )
| ( skaf83(skaf73(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0)))
| ~ memberP(skaf73(X0),X1) ),
inference(superposition,[status(thm)],[c_10992,c_408]) ).
tcf(c_133123,plain,
! [X0: $i] :
( leq(skaf83(skaf73(X0)),hd(skaf82(skaf73(X0))))
| ( skaf73(X0) = nil )
| ( skaf82(skaf73(X0)) = nil )
| ~ totalorderedP(skaf73(X0))
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10992,c_382]) ).
tcf(c_133124,plain,
! [X0: $i] :
( lt(skaf83(skaf73(X0)),hd(skaf82(skaf73(X0))))
| ( skaf73(X0) = nil )
| ( skaf82(skaf73(X0)) = nil )
| ~ strictorderedP(skaf73(X0))
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10992,c_381]) ).
tcf(c_133125,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf73(X0)))
| ( skaf73(X0) = nil )
| ( skaf82(skaf73(X0)) = nil )
| ~ totalorderedP(skaf73(X0))
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10992,c_372]) ).
tcf(c_133126,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf73(X0)))
| ( skaf73(X0) = nil )
| ( skaf82(skaf73(X0)) = nil )
| ~ strictorderedP(skaf73(X0))
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0))) ),
inference(superposition,[status(thm)],[c_10992,c_371]) ).
tcf(c_133127,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0)))
| ( skaf82(skaf73(X0)) != skaf73(X0) ) ),
inference(superposition,[status(thm)],[c_10992,c_346]) ).
tcf(c_133129,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf73(X1)),X0),skaf73(X1))
| ( skaf73(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf73(X1)))
| ~ ssList(skaf82(skaf73(X1)))
| ~ frontsegP(X0,skaf82(skaf73(X1))) ),
inference(superposition,[status(thm)],[c_10992,c_425]) ).
tcf(c_133130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X2) = nil )
| ( skaf83(skaf73(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf73(X2)))
| ~ ssList(skaf82(skaf73(X2)))
| ~ ssList(app(X0,cons(X1,skaf73(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf73(X2)),skaf82(skaf73(X2)))))) ),
inference(superposition,[status(thm)],[c_10992,c_427]) ).
tcf(c_133131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X2) = nil )
| ( skaf82(skaf73(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf73(X2)))
| ~ ssList(skaf82(skaf73(X2)))
| ( cons(X0,X1) != skaf73(X2) ) ),
inference(superposition,[status(thm)],[c_10992,c_418]) ).
tcf(c_133132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X2) = nil )
| ( skaf83(skaf73(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf73(X2)))
| ~ ssList(skaf82(skaf73(X2)))
| ( cons(X0,X1) != skaf73(X2) ) ),
inference(superposition,[status(thm)],[c_10992,c_417]) ).
tcf(c_133133,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X2) = nil )
| ( skaf83(skaf73(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf73(X2)))
| ~ ssList(skaf82(skaf73(X2)))
| ~ frontsegP(cons(X0,X1),skaf73(X2)) ),
inference(superposition,[status(thm)],[c_10992,c_423]) ).
tcf(c_133134,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf73(X2)))
| ( skaf73(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf73(X2)))
| ~ ssList(skaf82(skaf73(X2)))
| ~ frontsegP(cons(X0,X1),skaf73(X2)) ),
inference(superposition,[status(thm)],[c_10992,c_421]) ).
tcf(c_133135,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf73(X0),cons(skaf83(skaf73(X0)),X1))
| ( skaf73(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0)))
| ~ frontsegP(skaf82(skaf73(X0)),X1) ),
inference(superposition,[status(thm)],[c_10992,c_425]) ).
tcf(c_133136,plain,
! [X0: $i,X1: $i] :
( memberP(skaf73(X0),X1)
| ( skaf73(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf73(X0)))
| ~ ssList(skaf82(skaf73(X0)))
| ~ memberP(skaf82(skaf73(X0)),X1) ),
inference(superposition,[status(thm)],[c_10992,c_386]) ).
tcf(c_133137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf73(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf73(X3)))
| ~ ssList(skaf82(skaf73(X3)))
| ~ leq(X1,skaf83(skaf73(X3)))
| ~ leq(skaf83(skaf73(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf73(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf73(X3)),skaf82(skaf73(X3))))) ),
inference(superposition,[status(thm)],[c_10992,c_432]) ).
tcf(c_133138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf73(X3)))
| leq(skaf83(skaf73(X3)),X1)
| ( skaf73(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf73(X3)))
| ~ ssList(skaf82(skaf73(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf73(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf73(X3)),skaf82(skaf73(X3))))) ),
inference(superposition,[status(thm)],[c_10992,c_431]) ).
tcf(c_133139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf73(X3)))
| lt(skaf83(skaf73(X3)),X1)
| ( skaf73(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf73(X3)))
| ~ ssList(skaf82(skaf73(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf73(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf73(X3)),skaf82(skaf73(X3))))) ),
inference(superposition,[status(thm)],[c_10992,c_430]) ).
tcf(c_133140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf73(X3)))
| ( skaf73(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf73(X3)))
| ~ ssList(skaf82(skaf73(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf73(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf73(X3)),skaf82(skaf73(X3))))) ),
inference(superposition,[status(thm)],[c_10992,c_429]) ).
tcf(c_133141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf73(X3)))
| ( skaf73(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf73(X3)))
| ~ ssList(skaf82(skaf73(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf73(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf73(X3)),skaf82(skaf73(X3))))) ),
inference(superposition,[status(thm)],[c_10992,c_428]) ).
tcf(c_133142,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf73(X1)))
| ~ ssList(skaf82(skaf73(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf73(X1)),X2)),skaf73(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf73(X1)),X2)),cons(skaf83(skaf73(X1)),skaf82(skaf73(X1))))) ),
inference(superposition,[status(thm)],[c_10992,c_426]) ).
tcf(c_133143,plain,
! [X0: $i] :
( memberP(skaf73(X0),skaf83(skaf73(X0)))
| ( skaf73(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133106,c_259,c_260]) ).
tcf(c_133146,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( skaf82(skaf73(X0)) != skaf73(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133127,c_259,c_260]) ).
tcf(c_133149,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf73(X0)))
| ( skaf73(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf73(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133117,c_259,c_260]) ).
tcf(c_133153,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf73(X0)))
| ( skaf73(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf73(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133116,c_259,c_260]) ).
tcf(c_133157,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( skaf83(skaf73(X0)) = sk6 )
| ~ frontsegP(skaf73(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133115,c_259,c_260]) ).
tcf(c_133161,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( skaf83(skaf73(X0)) = sk5 )
| ~ frontsegP(skaf73(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133114,c_259,c_260]) ).
tcf(c_133165,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( skaf83(skaf73(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf73(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133113,c_259,c_260]) ).
tcf(c_133169,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( skaf83(skaf73(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf73(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133112,c_259,c_260]) ).
tcf(c_133173,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( skaf83(skaf73(X0)) = sk6 )
| ( skaf73(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133111,c_259,c_260]) ).
tcf(c_133177,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( skaf83(skaf73(X0)) = sk5 )
| ( skaf73(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133110,c_259,c_260]) ).
tcf(c_133181,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( skaf82(skaf73(X0)) = nil )
| ( skaf73(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133109,c_259,c_260]) ).
tcf(c_133185,plain,
! [X0: $i] :
( ( skaf73(X0) = nil )
| ( skaf82(skaf73(X0)) = nil )
| ( skaf73(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133108,c_259,c_260]) ).
tcf(c_133189,plain,
! [X0: $i,X1: $i] :
( memberP(skaf73(X0),X1)
| ( skaf73(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf73(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133136,c_259,c_260]) ).
tcf(c_133194,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf73(X0)))
| ( skaf73(X0) = nil )
| ( skaf82(skaf73(X0)) = nil )
| ~ strictorderedP(skaf73(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133126,c_259,c_260]) ).
tcf(c_133199,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf73(X0)))
| ( skaf73(X0) = nil )
| ( skaf82(skaf73(X0)) = nil )
| ~ totalorderedP(skaf73(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133125,c_259,c_260]) ).
tcf(c_133204,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf73(X0),cons(skaf83(skaf73(X0)),X1))
| ( skaf73(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf73(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133135,c_259,c_260]) ).
tcf(c_133209,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf73(X1)),X0),skaf73(X1))
| ( skaf73(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf73(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133129,c_259,c_260]) ).
tcf(c_133214,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf73(X2)))
| ( skaf73(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf73(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133134,c_259,c_260]) ).
tcf(c_133220,plain,
! [X0: $i] :
( lt(skaf83(skaf73(X0)),hd(skaf82(skaf73(X0))))
| ( skaf73(X0) = nil )
| ( skaf82(skaf73(X0)) = nil )
| ~ strictorderedP(skaf73(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133124,c_259,c_260]) ).
tcf(c_133225,plain,
! [X0: $i] :
( leq(skaf83(skaf73(X0)),hd(skaf82(skaf73(X0))))
| ( skaf73(X0) = nil )
| ( skaf82(skaf73(X0)) = nil )
| ~ totalorderedP(skaf73(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133123,c_259,c_260]) ).
tcf(c_133230,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf73(X0)),X2)
| ( skaf73(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf73(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133121,c_259,c_260]) ).
tcf(c_133236,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X2) = nil )
| ( skaf83(skaf73(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf73(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133133,c_259,c_260]) ).
tcf(c_133242,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf73(X0)),X1)
| ( skaf73(X0) = nil )
| ( skaf83(skaf73(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf73(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133122,c_259,c_260]) ).
tcf(c_133248,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X0) = nil )
| ( skaf83(skaf73(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf73(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133120,c_259,c_260]) ).
tcf(c_133254,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X2) = nil )
| ( skaf83(skaf73(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf73(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133132,c_259,c_260]) ).
tcf(c_133260,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X2) = nil )
| ( skaf82(skaf73(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf73(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133131,c_259,c_260]) ).
tcf(c_133266,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf73(X1)),skaf83(skaf73(X1)))
| ( skaf73(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf73(X1)),skaf82(skaf73(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133105,c_259,c_260]) ).
tcf(c_133271,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X2) = nil )
| ( skaf83(skaf73(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf73(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf73(X2)),skaf82(skaf73(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133130,c_259,c_260]) ).
tcf(c_133278,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf73(X1)),X2)),skaf73(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf73(X1)),X2)),cons(skaf83(skaf73(X1)),skaf82(skaf73(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133142,c_259,c_260]) ).
tcf(c_133284,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf73(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf73(X1)),cons(skaf83(skaf73(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf73(X1)),skaf82(skaf73(X1)))),cons(skaf83(skaf73(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133104,c_259,c_260]) ).
tcf(c_133290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf73(X3)))
| ( skaf73(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf73(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf73(X3)),skaf82(skaf73(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133141,c_259,c_260]) ).
tcf(c_133298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf73(X3)))
| ( skaf73(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf73(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf73(X3)),skaf82(skaf73(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133140,c_259,c_260]) ).
tcf(c_133306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf73(X1)),X2)
| ( skaf73(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf73(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf73(X1)),skaf82(skaf73(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133103,c_259,c_260]) ).
tcf(c_133314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf73(X1)),X2)
| ( skaf73(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf73(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf73(X1)),skaf82(skaf73(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133102,c_259,c_260]) ).
tcf(c_133322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf73(X3)))
| lt(skaf83(skaf73(X3)),X1)
| ( skaf73(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf73(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf73(X3)),skaf82(skaf73(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133139,c_259,c_260]) ).
tcf(c_133331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf73(X3)))
| leq(skaf83(skaf73(X3)),X1)
| ( skaf73(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf73(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf73(X3)),skaf82(skaf73(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133138,c_259,c_260]) ).
tcf(c_133340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf73(X1)))
| lt(skaf83(skaf73(X1)),X2)
| ( skaf73(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf73(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf73(X1)),skaf82(skaf73(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133101,c_259,c_260]) ).
tcf(c_133349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf73(X1)))
| leq(skaf83(skaf73(X1)),X2)
| ( skaf73(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf73(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf73(X1)),skaf82(skaf73(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133100,c_259,c_260]) ).
tcf(c_133358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf73(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf73(X3)))
| ~ leq(skaf83(skaf73(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf73(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf73(X3)),skaf82(skaf73(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133137,c_259,c_260]) ).
tcf(c_133367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf73(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf73(X1)))
| ~ leq(skaf83(skaf73(X1)),X2)
| ~ ssList(app(app(X0,skaf73(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf73(X1)),skaf82(skaf73(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133099,c_259,c_260]) ).
tcf(c_133585,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk4,sk7)),sk8),X0) = app(cons(sk6,app(sk4,sk7)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_132980,c_16217]) ).
tcf(c_133586,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk4,sk7)),sk7),X0) = app(cons(sk6,app(sk4,sk7)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_132980,c_16216]) ).
tcf(c_133587,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk4,sk7)),sk4),X0) = app(cons(sk6,app(sk4,sk7)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_132980,c_16215]) ).
tcf(c_133588,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk6,app(sk4,sk7)))) = app(cons(X1,X0),cons(sk6,app(sk4,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_132980,c_404]) ).
tcf(c_133589,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk6,app(sk4,sk7))),X0) = app(X1,app(cons(sk6,app(sk4,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_132980,c_396]) ).
tcf(c_133590,plain,
! [X0: $i] :
( ( cons(sk6,app(sk4,sk7)) = nil )
| ( app(tl(cons(sk6,app(sk4,sk7))),X0) = tl(app(cons(sk6,app(sk4,sk7)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_132980,c_380]) ).
tcf(c_133591,plain,
! [X0: $i] :
( ( cons(sk6,app(sk4,sk7)) = nil )
| ( hd(app(cons(sk6,app(sk4,sk7)),X0)) = hd(cons(sk6,app(sk4,sk7))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_132980,c_370]) ).
tcf(c_133592,plain,
cons(sk6,app(cons(sk6,app(sk4,sk7)),sk7)) = app(cons(sk6,cons(sk6,app(sk4,sk7))),sk7),
inference(superposition,[status(thm)],[c_132980,c_122890]) ).
tcf(c_133593,plain,
hd(app(iPr_def_12,cons(sk6,app(sk4,sk7)))) = sk5,
inference(superposition,[status(thm)],[c_132980,c_11944]) ).
tcf(c_133594,plain,
cons(sk5,app(cons(sk6,app(sk4,sk7)),sk7)) = app(cons(sk5,cons(sk6,app(sk4,sk7))),sk7),
inference(superposition,[status(thm)],[c_132980,c_122889]) ).
tcf(c_133595,plain,
hd(app(iPr_def_14,cons(sk6,app(sk4,sk7)))) = sk6,
inference(superposition,[status(thm)],[c_132980,c_11940]) ).
tcf(c_133596,plain,
hd(cons(skac2,cons(sk6,app(sk4,sk7)))) = skac2,
inference(superposition,[status(thm)],[c_132980,c_10021]) ).
tcf(c_133597,plain,
hd(cons(skac3,cons(sk6,app(sk4,sk7)))) = skac3,
inference(superposition,[status(thm)],[c_132980,c_10020]) ).
tcf(c_133598,plain,
tl(cons(skac2,cons(sk6,app(sk4,sk7)))) = cons(sk6,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_132980,c_9891]) ).
tcf(c_133599,plain,
cons(sk6,app(cons(sk6,app(sk4,sk7)),sk4)) = app(cons(sk6,cons(sk6,app(sk4,sk7))),sk4),
inference(superposition,[status(thm)],[c_132980,c_64778]) ).
tcf(c_133600,plain,
cons(sk5,app(cons(sk6,app(sk4,sk7)),sk4)) = app(cons(sk5,cons(sk6,app(sk4,sk7))),sk4),
inference(superposition,[status(thm)],[c_132980,c_64777]) ).
tcf(c_133601,plain,
tl(cons(skac3,cons(sk6,app(sk4,sk7)))) = cons(sk6,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_132980,c_9890]) ).
tcf(c_133602,plain,
app(app(sk8,sk8),cons(sk6,app(sk4,sk7))) = app(sk8,app(sk8,cons(sk6,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_132980,c_56349]) ).
tcf(c_133603,plain,
app(app(sk7,sk8),cons(sk6,app(sk4,sk7))) = app(sk7,app(sk8,cons(sk6,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_132980,c_56348]) ).
tcf(c_133604,plain,
app(app(sk4,sk8),cons(sk6,app(sk4,sk7))) = app(sk4,app(sk8,cons(sk6,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_132980,c_56347]) ).
tcf(c_133605,plain,
app(app(sk8,sk7),cons(sk6,app(sk4,sk7))) = app(sk8,app(sk7,cons(sk6,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_132980,c_45540]) ).
tcf(c_133606,plain,
app(app(sk7,sk7),cons(sk6,app(sk4,sk7))) = app(sk7,app(sk7,cons(sk6,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_132980,c_45539]) ).
tcf(c_133607,plain,
app(app(sk4,sk7),cons(sk6,app(sk4,sk7))) = app(sk4,app(sk7,cons(sk6,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_132980,c_45538]) ).
tcf(c_133608,plain,
app(app(sk8,sk4),cons(sk6,app(sk4,sk7))) = app(sk8,app(sk4,cons(sk6,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_132980,c_37633]) ).
tcf(c_133609,plain,
app(app(sk7,sk4),cons(sk6,app(sk4,sk7))) = app(sk7,app(sk4,cons(sk6,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_132980,c_37632]) ).
tcf(c_133610,plain,
app(app(sk4,sk4),cons(sk6,app(sk4,sk7))) = app(sk4,app(sk4,cons(sk6,app(sk4,sk7)))),
inference(superposition,[status(thm)],[c_132980,c_37631]) ).
tcf(c_133611,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk6,app(sk4,sk7))) = tl(app(sk8,cons(sk6,app(sk4,sk7)))) ) ),
inference(superposition,[status(thm)],[c_132980,c_14611]) ).
tcf(c_133612,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk6,app(sk4,sk7))) = tl(app(sk7,cons(sk6,app(sk4,sk7)))) ) ),
inference(superposition,[status(thm)],[c_132980,c_14610]) ).
tcf(c_133613,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk6,app(sk4,sk7))) = tl(app(sk4,cons(sk6,app(sk4,sk7)))) ) ),
inference(superposition,[status(thm)],[c_132980,c_14609]) ).
tcf(c_133614,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk6,app(sk4,sk7)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_132980,c_11903]) ).
tcf(c_133615,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk6,app(sk4,sk7)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_132980,c_11902]) ).
tcf(c_133616,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk6,app(sk4,sk7)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_132980,c_11901]) ).
tcf(c_133617,plain,
( cyclefreeP(cons(sk6,app(sk4,sk7)))
| ( app(app(skaf51(cons(sk6,app(sk4,sk7))),cons(skaf49(cons(sk6,app(sk4,sk7))),skaf52(cons(sk6,app(sk4,sk7))))),cons(skaf50(cons(sk6,app(sk4,sk7))),skaf53(cons(sk6,app(sk4,sk7))))) = cons(sk6,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_132980,c_414]) ).
tcf(c_133618,plain,
( totalorderP(cons(sk6,app(sk4,sk7)))
| ( app(app(skaf56(cons(sk6,app(sk4,sk7))),cons(skaf54(cons(sk6,app(sk4,sk7))),skaf57(cons(sk6,app(sk4,sk7))))),cons(skaf55(cons(sk6,app(sk4,sk7))),skaf58(cons(sk6,app(sk4,sk7))))) = cons(sk6,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_132980,c_413]) ).
tcf(c_133619,plain,
( strictorderP(cons(sk6,app(sk4,sk7)))
| ( app(app(skaf61(cons(sk6,app(sk4,sk7))),cons(skaf59(cons(sk6,app(sk4,sk7))),skaf62(cons(sk6,app(sk4,sk7))))),cons(skaf60(cons(sk6,app(sk4,sk7))),skaf63(cons(sk6,app(sk4,sk7))))) = cons(sk6,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_132980,c_412]) ).
tcf(c_133620,plain,
( totalorderedP(cons(sk6,app(sk4,sk7)))
| ( app(app(skaf66(cons(sk6,app(sk4,sk7))),cons(skaf64(cons(sk6,app(sk4,sk7))),skaf67(cons(sk6,app(sk4,sk7))))),cons(skaf65(cons(sk6,app(sk4,sk7))),skaf68(cons(sk6,app(sk4,sk7))))) = cons(sk6,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_132980,c_411]) ).
tcf(c_133621,plain,
( strictorderedP(cons(sk6,app(sk4,sk7)))
| ( app(app(skaf71(cons(sk6,app(sk4,sk7))),cons(skaf69(cons(sk6,app(sk4,sk7))),skaf72(cons(sk6,app(sk4,sk7))))),cons(skaf70(cons(sk6,app(sk4,sk7))),skaf73(cons(sk6,app(sk4,sk7))))) = cons(sk6,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_132980,c_410]) ).
tcf(c_133622,plain,
( duplicatefreeP(cons(sk6,app(sk4,sk7)))
| ( app(app(skaf75(cons(sk6,app(sk4,sk7))),cons(skaf74(cons(sk6,app(sk4,sk7))),skaf76(cons(sk6,app(sk4,sk7))))),cons(skaf74(cons(sk6,app(sk4,sk7))),skaf77(cons(sk6,app(sk4,sk7))))) = cons(sk6,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_132980,c_409]) ).
tcf(c_133623,plain,
( equalelemsP(cons(sk6,app(sk4,sk7)))
| ( app(skaf80(cons(sk6,app(sk4,sk7))),cons(skaf78(cons(sk6,app(sk4,sk7))),cons(skaf79(cons(sk6,app(sk4,sk7))),skaf81(cons(sk6,app(sk4,sk7)))))) = cons(sk6,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_132980,c_389]) ).
tcf(c_133624,plain,
hd(cons(sk6,cons(sk6,app(sk4,sk7)))) = sk6,
inference(superposition,[status(thm)],[c_132980,c_10017]) ).
tcf(c_133625,plain,
( ( cons(sk6,app(sk4,sk7)) = nil )
| ( cons(skaf83(cons(sk6,app(sk4,sk7))),skaf82(cons(sk6,app(sk4,sk7)))) = cons(sk6,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_132980,c_356]) ).
tcf(c_133626,plain,
( ( cons(sk6,app(sk4,sk7)) = nil )
| ( cons(hd(cons(sk6,app(sk4,sk7))),tl(cons(sk6,app(sk4,sk7)))) = cons(sk6,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_132980,c_351]) ).
tcf(c_133627,plain,
hd(cons(sk5,cons(sk6,app(sk4,sk7)))) = sk5,
inference(superposition,[status(thm)],[c_132980,c_10016]) ).
tcf(c_133628,plain,
tl(cons(sk6,cons(sk6,app(sk4,sk7)))) = cons(sk6,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_132980,c_9887]) ).
tcf(c_133629,plain,
tl(cons(sk5,cons(sk6,app(sk4,sk7)))) = cons(sk6,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_132980,c_9886]) ).
tcf(c_133630,plain,
( duplicatefreeP(cons(sk6,app(sk4,sk7)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_132980,c_6471]) ).
tcf(c_133631,plain,
app(nil,cons(sk6,app(sk4,sk7))) = cons(sk6,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_132980,c_321]) ).
tcf(c_133632,plain,
app(cons(sk6,app(sk4,sk7)),nil) = cons(sk6,app(sk4,sk7)),
inference(superposition,[status(thm)],[c_132980,c_320]) ).
tcf(c_133939,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(X0,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132981,c_400]) ).
tcf(c_133940,plain,
( ( app(skaf46(cons(sk6,app(sk4,sk7)),sk7),sk7) = cons(sk6,app(sk4,sk7)) )
| ~ ssList(sk7)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132981,c_378]) ).
tcf(c_133941,plain,
( ( cons(sk6,app(sk4,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132981,c_375]) ).
tcf(c_133942,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133939,c_6483,c_132980]) ).
tcf(c_133946,plain,
( ( cons(sk6,app(sk4,sk7)) = sk7 )
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133941,c_6483,c_132980]) ).
tcf(c_133949,plain,
app(skaf46(cons(sk6,app(sk4,sk7)),sk7),sk7) = cons(sk6,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_133940,c_6483,c_132980]) ).
tcf(c_133961,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,app(iPr_def_12,skaf48(X0,X1))))
| ( app(iPr_def_12,skaf48(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf48(X0,X1)))
| ~ ssList(app(iPr_def_12,skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_124178,c_407]) ).
tcf(c_133962,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,app(iPr_def_12,skaf48(X0,X1))))
| ( app(iPr_def_12,skaf48(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf48(X0,X1)))
| ~ ssList(app(iPr_def_12,skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_124178,c_406]) ).
tcf(c_133978,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,app(iPr_def_12,skaf47(X0,X1))))
| ( app(iPr_def_12,skaf47(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf47(X0,X1)))
| ~ ssList(app(iPr_def_12,skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_124179,c_407]) ).
tcf(c_133979,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,app(iPr_def_12,skaf47(X0,X1))))
| ( app(iPr_def_12,skaf47(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf47(X0,X1)))
| ~ ssList(app(iPr_def_12,skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_124179,c_406]) ).
tcf(c_134020,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_79692,c_401]) ).
tcf(c_134021,plain,
( ( app(sk7,skaf45(app(sk4,sk4),sk7)) = app(sk4,sk4) )
| ~ ssList(sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_79692,c_379]) ).
tcf(c_134022,plain,
( ( app(sk4,sk4) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk7,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_79692,c_376]) ).
tcf(c_134023,plain,
( ( app(sk4,sk4) = sk7 )
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(sk7,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134022,c_6483,c_79152]) ).
tcf(c_134027,plain,
( ( app(sk7,skaf45(app(sk4,sk4),sk7)) = app(sk4,sk4) )
| ~ frontsegP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134021,c_6483,c_79152]) ).
tcf(c_134030,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134020,c_6483,c_79152]) ).
tcf(c_134046,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_79695,c_401]) ).
tcf(c_134047,plain,
( ( app(sk7,skaf45(app(sk4,sk4),sk7)) = app(sk4,sk4) )
| ~ ssList(sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_79695,c_379]) ).
tcf(c_134048,plain,
( ( app(sk4,sk4) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk7,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_79695,c_376]) ).
tcf(c_134049,plain,
( ( app(sk4,sk4) = sk7 )
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(sk7,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134048,c_6483,c_79152]) ).
tcf(c_134053,plain,
( ( app(sk7,skaf45(app(sk4,sk4),sk7)) = app(sk4,sk4) )
| ~ frontsegP(sk4,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134047,c_6483,c_79152]) ).
tcf(c_134056,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134046,c_6483,c_79152]) ).
tcf(c_134114,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk6,sk4))
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(X0,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132990,c_401]) ).
tcf(c_134115,plain,
( ( app(cons(sk6,sk4),skaf45(cons(sk6,app(sk4,sk7)),cons(sk6,sk4))) = cons(sk6,app(sk4,sk7)) )
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132990,c_379]) ).
tcf(c_134116,plain,
( ( cons(sk6,app(sk4,sk7)) = cons(sk6,sk4) )
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132990,c_376]) ).
tcf(c_134118,plain,
( frontsegP(app(sk4,sk7),sk4)
| ~ ssItem(sk6)
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_132990,c_421]) ).
tcf(c_134119,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132990,c_75356]) ).
tcf(c_134120,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132990,c_75336]) ).
tcf(c_134121,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132990,c_75316]) ).
tcf(c_134123,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134121,c_132980]) ).
tcf(c_134126,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134120,c_132980]) ).
tcf(c_134129,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134119,c_132980]) ).
tcf(c_134132,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk6,sk4))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134114,c_28942,c_132980]) ).
tcf(c_134136,plain,
( ( cons(sk6,app(sk4,sk7)) = cons(sk6,sk4) )
| ~ frontsegP(cons(sk6,sk4),cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134116,c_28942,c_132980]) ).
tcf(c_134139,plain,
app(cons(sk6,sk4),skaf45(cons(sk6,app(sk4,sk7)),cons(sk6,sk4))) = cons(sk6,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_134115,c_28942,c_132980]) ).
tcf(c_134142,plain,
( ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(sk7)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_132512,c_332]) ).
tcf(c_134143,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk7,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(app(cons(sk6,sk7),sk7),X0)) ),
inference(superposition,[status(thm)],[c_132512,c_420]) ).
tcf(c_134144,plain,
! [X0: $i] :
( ( cons(sk6,sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ( cons(sk6,app(sk7,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_132512,c_398]) ).
tcf(c_134146,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(cons(sk6,sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,sk7))
| ~ memberP(cons(sk6,app(sk7,sk7)),X0) ),
inference(superposition,[status(thm)],[c_132512,c_405]) ).
tcf(c_134147,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(cons(sk6,sk7))
| ( cons(sk6,app(sk7,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_132512,c_366]) ).
tcf(c_134148,plain,
( ( cons(sk6,sk7) = nil )
| ~ ssList(sk7)
| ~ ssList(cons(sk6,sk7))
| ( cons(sk6,app(sk7,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_132512,c_365]) ).
tcf(c_134149,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),cons(sk6,sk7))
| ~ ssList(sk7)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_132512,c_808]) ).
tcf(c_134150,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_132512,c_807]) ).
tcf(c_134151,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_132512,c_388]) ).
tcf(c_134152,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_132512,c_383]) ).
tcf(c_134153,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ( app(cons(sk6,sk7),X0) != cons(sk6,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_132512,c_397]) ).
tcf(c_134154,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,sk7))
| ~ memberP(cons(sk6,sk7),X0) ),
inference(superposition,[status(thm)],[c_132512,c_387]) ).
tcf(c_134155,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(cons(sk6,sk7),X0) ),
inference(superposition,[status(thm)],[c_132512,c_384]) ).
tcf(c_134156,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk7,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_132512,c_419]) ).
tcf(c_134157,plain,
( ( cons(sk6,sk7) = iPr_def_14 )
| ~ ssList(cons(sk6,sk7))
| ( cons(sk6,app(sk7,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_132512,c_51335]) ).
tcf(c_134158,plain,
( ( cons(sk6,sk7) = nil )
| ~ ssList(cons(sk6,sk7))
| ( cons(sk6,app(sk7,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_132512,c_17625]) ).
tcf(c_134159,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(app(cons(sk6,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_132512,c_37016]) ).
tcf(c_134160,plain,
! [X0: $i] :
( segmentP(cons(sk6,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(superposition,[status(thm)],[c_132512,c_36958]) ).
tcf(c_134161,plain,
ssList(cons(sk6,app(sk7,sk7))),
inference(forward_subsumption_resolution,[status(thm)],[c_134142,c_6483,c_28940]) ).
tcf(c_134162,plain,
rearsegP(cons(sk6,app(sk7,sk7)),sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_134150,c_6483,c_28940]) ).
tcf(c_134163,plain,
! [X0: $i] :
( segmentP(cons(sk6,app(sk7,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134160,c_6483]) ).
tcf(c_134167,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(light_normalisation,[status(thm)],[c_134159,c_132512]) ).
tcf(c_134168,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk7)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134167,c_6483]) ).
tcf(c_134171,plain,
frontsegP(cons(sk6,app(sk7,sk7)),cons(sk6,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_134149,c_6483,c_28940]) ).
tcf(c_134172,plain,
cons(sk6,app(sk7,sk7)) != sk7,
inference(forward_subsumption_resolution,[status(thm)],[c_134158,c_37620,c_28940]) ).
tcf(c_134176,plain,
( ( cons(sk6,sk7) = iPr_def_14 )
| ( cons(sk6,app(sk7,sk7)) != cons(sk6,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134157,c_28940]) ).
tcf(c_134179,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk7,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134152,c_6483,c_28940]) ).
tcf(c_134183,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk7,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134151,c_6483,c_28940]) ).
tcf(c_134187,plain,
cons(sk6,app(sk7,sk7)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_134148,c_37620,c_6483,c_28940]) ).
tcf(c_134188,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk7,sk7)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134155,c_6483,c_28940]) ).
tcf(c_134192,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk7,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134154,c_6483,c_28940]) ).
tcf(c_134196,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk7,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134156,c_6483,c_28940]) ).
tcf(c_134201,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(cons(sk6,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk7,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134146,c_6483,c_28940]) ).
tcf(c_134206,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(cons(sk6,sk7),X0) != cons(sk6,app(sk7,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134153,c_6483,c_28940]) ).
tcf(c_134210,plain,
! [X0: $i] :
( ( cons(sk6,sk7) = X0 )
| ~ ssList(X0)
| ( cons(sk6,app(sk7,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134144,c_6483,c_28940]) ).
tcf(c_134214,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk7,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(app(cons(sk6,app(sk7,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_134143,c_132512]) ).
tcf(c_134215,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk7,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,app(sk7,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134214,c_6483,c_28940]) ).
tcf(c_134266,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk7,sk7)),sk8),X0) = app(cons(sk6,app(sk7,sk7)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134161,c_16217]) ).
tcf(c_134267,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk7,sk7)),sk7),X0) = app(cons(sk6,app(sk7,sk7)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134161,c_16216]) ).
tcf(c_134268,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk7,sk7)),sk4),X0) = app(cons(sk6,app(sk7,sk7)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134161,c_16215]) ).
tcf(c_134269,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk6,app(sk7,sk7)))) = app(cons(X1,X0),cons(sk6,app(sk7,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134161,c_404]) ).
tcf(c_134270,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk6,app(sk7,sk7))),X0) = app(X1,app(cons(sk6,app(sk7,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134161,c_396]) ).
tcf(c_134271,plain,
! [X0: $i] :
( ( cons(sk6,app(sk7,sk7)) = nil )
| ( app(tl(cons(sk6,app(sk7,sk7))),X0) = tl(app(cons(sk6,app(sk7,sk7)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134161,c_380]) ).
tcf(c_134272,plain,
! [X0: $i] :
( ( cons(sk6,app(sk7,sk7)) = nil )
| ( hd(app(cons(sk6,app(sk7,sk7)),X0)) = hd(cons(sk6,app(sk7,sk7))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134161,c_370]) ).
tcf(c_134273,plain,
cons(sk6,app(cons(sk6,app(sk7,sk7)),sk7)) = app(cons(sk6,cons(sk6,app(sk7,sk7))),sk7),
inference(superposition,[status(thm)],[c_134161,c_122890]) ).
tcf(c_134274,plain,
hd(app(iPr_def_12,cons(sk6,app(sk7,sk7)))) = sk5,
inference(superposition,[status(thm)],[c_134161,c_11944]) ).
tcf(c_134275,plain,
cons(sk5,app(cons(sk6,app(sk7,sk7)),sk7)) = app(cons(sk5,cons(sk6,app(sk7,sk7))),sk7),
inference(superposition,[status(thm)],[c_134161,c_122889]) ).
tcf(c_134276,plain,
hd(app(iPr_def_14,cons(sk6,app(sk7,sk7)))) = sk6,
inference(superposition,[status(thm)],[c_134161,c_11940]) ).
tcf(c_134277,plain,
hd(cons(skac2,cons(sk6,app(sk7,sk7)))) = skac2,
inference(superposition,[status(thm)],[c_134161,c_10021]) ).
tcf(c_134278,plain,
hd(cons(skac3,cons(sk6,app(sk7,sk7)))) = skac3,
inference(superposition,[status(thm)],[c_134161,c_10020]) ).
tcf(c_134279,plain,
tl(cons(skac2,cons(sk6,app(sk7,sk7)))) = cons(sk6,app(sk7,sk7)),
inference(superposition,[status(thm)],[c_134161,c_9891]) ).
tcf(c_134280,plain,
cons(sk6,app(cons(sk6,app(sk7,sk7)),sk4)) = app(cons(sk6,cons(sk6,app(sk7,sk7))),sk4),
inference(superposition,[status(thm)],[c_134161,c_64778]) ).
tcf(c_134281,plain,
cons(sk5,app(cons(sk6,app(sk7,sk7)),sk4)) = app(cons(sk5,cons(sk6,app(sk7,sk7))),sk4),
inference(superposition,[status(thm)],[c_134161,c_64777]) ).
tcf(c_134282,plain,
tl(cons(skac3,cons(sk6,app(sk7,sk7)))) = cons(sk6,app(sk7,sk7)),
inference(superposition,[status(thm)],[c_134161,c_9890]) ).
tcf(c_134283,plain,
app(app(sk8,sk8),cons(sk6,app(sk7,sk7))) = app(sk8,app(sk8,cons(sk6,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_134161,c_56349]) ).
tcf(c_134284,plain,
app(app(sk7,sk8),cons(sk6,app(sk7,sk7))) = app(sk7,app(sk8,cons(sk6,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_134161,c_56348]) ).
tcf(c_134285,plain,
app(app(sk4,sk8),cons(sk6,app(sk7,sk7))) = app(sk4,app(sk8,cons(sk6,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_134161,c_56347]) ).
tcf(c_134286,plain,
app(app(sk8,sk7),cons(sk6,app(sk7,sk7))) = app(sk8,app(sk7,cons(sk6,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_134161,c_45540]) ).
tcf(c_134287,plain,
app(app(sk7,sk7),cons(sk6,app(sk7,sk7))) = app(sk7,app(sk7,cons(sk6,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_134161,c_45539]) ).
tcf(c_134288,plain,
app(app(sk4,sk7),cons(sk6,app(sk7,sk7))) = app(sk4,app(sk7,cons(sk6,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_134161,c_45538]) ).
tcf(c_134289,plain,
app(app(sk8,sk4),cons(sk6,app(sk7,sk7))) = app(sk8,app(sk4,cons(sk6,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_134161,c_37633]) ).
tcf(c_134290,plain,
app(app(sk7,sk4),cons(sk6,app(sk7,sk7))) = app(sk7,app(sk4,cons(sk6,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_134161,c_37632]) ).
tcf(c_134291,plain,
app(app(sk4,sk4),cons(sk6,app(sk7,sk7))) = app(sk4,app(sk4,cons(sk6,app(sk7,sk7)))),
inference(superposition,[status(thm)],[c_134161,c_37631]) ).
tcf(c_134292,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk6,app(sk7,sk7))) = tl(app(sk8,cons(sk6,app(sk7,sk7)))) ) ),
inference(superposition,[status(thm)],[c_134161,c_14611]) ).
tcf(c_134293,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk6,app(sk7,sk7))) = tl(app(sk7,cons(sk6,app(sk7,sk7)))) ) ),
inference(superposition,[status(thm)],[c_134161,c_14610]) ).
tcf(c_134294,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk6,app(sk7,sk7))) = tl(app(sk4,cons(sk6,app(sk7,sk7)))) ) ),
inference(superposition,[status(thm)],[c_134161,c_14609]) ).
tcf(c_134295,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk6,app(sk7,sk7)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_134161,c_11903]) ).
tcf(c_134296,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk6,app(sk7,sk7)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_134161,c_11902]) ).
tcf(c_134297,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk6,app(sk7,sk7)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_134161,c_11901]) ).
tcf(c_134298,plain,
( cyclefreeP(cons(sk6,app(sk7,sk7)))
| ( app(app(skaf51(cons(sk6,app(sk7,sk7))),cons(skaf49(cons(sk6,app(sk7,sk7))),skaf52(cons(sk6,app(sk7,sk7))))),cons(skaf50(cons(sk6,app(sk7,sk7))),skaf53(cons(sk6,app(sk7,sk7))))) = cons(sk6,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_134161,c_414]) ).
tcf(c_134299,plain,
( totalorderP(cons(sk6,app(sk7,sk7)))
| ( app(app(skaf56(cons(sk6,app(sk7,sk7))),cons(skaf54(cons(sk6,app(sk7,sk7))),skaf57(cons(sk6,app(sk7,sk7))))),cons(skaf55(cons(sk6,app(sk7,sk7))),skaf58(cons(sk6,app(sk7,sk7))))) = cons(sk6,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_134161,c_413]) ).
tcf(c_134300,plain,
( strictorderP(cons(sk6,app(sk7,sk7)))
| ( app(app(skaf61(cons(sk6,app(sk7,sk7))),cons(skaf59(cons(sk6,app(sk7,sk7))),skaf62(cons(sk6,app(sk7,sk7))))),cons(skaf60(cons(sk6,app(sk7,sk7))),skaf63(cons(sk6,app(sk7,sk7))))) = cons(sk6,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_134161,c_412]) ).
tcf(c_134301,plain,
( totalorderedP(cons(sk6,app(sk7,sk7)))
| ( app(app(skaf66(cons(sk6,app(sk7,sk7))),cons(skaf64(cons(sk6,app(sk7,sk7))),skaf67(cons(sk6,app(sk7,sk7))))),cons(skaf65(cons(sk6,app(sk7,sk7))),skaf68(cons(sk6,app(sk7,sk7))))) = cons(sk6,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_134161,c_411]) ).
tcf(c_134302,plain,
( strictorderedP(cons(sk6,app(sk7,sk7)))
| ( app(app(skaf71(cons(sk6,app(sk7,sk7))),cons(skaf69(cons(sk6,app(sk7,sk7))),skaf72(cons(sk6,app(sk7,sk7))))),cons(skaf70(cons(sk6,app(sk7,sk7))),skaf73(cons(sk6,app(sk7,sk7))))) = cons(sk6,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_134161,c_410]) ).
tcf(c_134303,plain,
( duplicatefreeP(cons(sk6,app(sk7,sk7)))
| ( app(app(skaf75(cons(sk6,app(sk7,sk7))),cons(skaf74(cons(sk6,app(sk7,sk7))),skaf76(cons(sk6,app(sk7,sk7))))),cons(skaf74(cons(sk6,app(sk7,sk7))),skaf77(cons(sk6,app(sk7,sk7))))) = cons(sk6,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_134161,c_409]) ).
tcf(c_134304,plain,
( equalelemsP(cons(sk6,app(sk7,sk7)))
| ( app(skaf80(cons(sk6,app(sk7,sk7))),cons(skaf78(cons(sk6,app(sk7,sk7))),cons(skaf79(cons(sk6,app(sk7,sk7))),skaf81(cons(sk6,app(sk7,sk7)))))) = cons(sk6,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_134161,c_389]) ).
tcf(c_134305,plain,
hd(cons(sk6,cons(sk6,app(sk7,sk7)))) = sk6,
inference(superposition,[status(thm)],[c_134161,c_10017]) ).
tcf(c_134306,plain,
( ( cons(sk6,app(sk7,sk7)) = nil )
| ( cons(skaf83(cons(sk6,app(sk7,sk7))),skaf82(cons(sk6,app(sk7,sk7)))) = cons(sk6,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_134161,c_356]) ).
tcf(c_134307,plain,
( ( cons(sk6,app(sk7,sk7)) = nil )
| ( cons(hd(cons(sk6,app(sk7,sk7))),tl(cons(sk6,app(sk7,sk7)))) = cons(sk6,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_134161,c_351]) ).
tcf(c_134308,plain,
hd(cons(sk5,cons(sk6,app(sk7,sk7)))) = sk5,
inference(superposition,[status(thm)],[c_134161,c_10016]) ).
tcf(c_134309,plain,
tl(cons(sk6,cons(sk6,app(sk7,sk7)))) = cons(sk6,app(sk7,sk7)),
inference(superposition,[status(thm)],[c_134161,c_9887]) ).
tcf(c_134310,plain,
tl(cons(sk5,cons(sk6,app(sk7,sk7)))) = cons(sk6,app(sk7,sk7)),
inference(superposition,[status(thm)],[c_134161,c_9886]) ).
tcf(c_134311,plain,
( duplicatefreeP(cons(sk6,app(sk7,sk7)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_134161,c_6471]) ).
tcf(c_134312,plain,
app(nil,cons(sk6,app(sk7,sk7))) = cons(sk6,app(sk7,sk7)),
inference(superposition,[status(thm)],[c_134161,c_321]) ).
tcf(c_134313,plain,
app(cons(sk6,app(sk7,sk7)),nil) = cons(sk6,app(sk7,sk7)),
inference(superposition,[status(thm)],[c_134161,c_320]) ).
tcf(c_134637,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(X0,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134162,c_400]) ).
tcf(c_134638,plain,
( ( app(skaf46(cons(sk6,app(sk7,sk7)),sk7),sk7) = cons(sk6,app(sk7,sk7)) )
| ~ ssList(sk7)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134162,c_378]) ).
tcf(c_134639,plain,
( ( cons(sk6,app(sk7,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134162,c_375]) ).
tcf(c_134640,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134637,c_6483,c_134161]) ).
tcf(c_134644,plain,
( ( cons(sk6,app(sk7,sk7)) = sk7 )
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134639,c_6483,c_134161]) ).
tcf(c_134647,plain,
app(skaf46(cons(sk6,app(sk7,sk7)),sk7),sk7) = cons(sk6,app(sk7,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_134638,c_6483,c_134161]) ).
tcf(c_134649,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk6,sk7))
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(X0,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134171,c_401]) ).
tcf(c_134650,plain,
( ( app(cons(sk6,sk7),skaf45(cons(sk6,app(sk7,sk7)),cons(sk6,sk7))) = cons(sk6,app(sk7,sk7)) )
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134171,c_379]) ).
tcf(c_134651,plain,
( ( cons(sk6,app(sk7,sk7)) = cons(sk6,sk7) )
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134171,c_376]) ).
tcf(c_134653,plain,
( frontsegP(app(sk7,sk7),sk7)
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_134171,c_421]) ).
tcf(c_134654,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134171,c_84010]) ).
tcf(c_134655,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134171,c_83991]) ).
tcf(c_134656,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134171,c_82977]) ).
tcf(c_134658,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134656,c_134161]) ).
tcf(c_134661,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134655,c_134161]) ).
tcf(c_134664,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134654,c_134161]) ).
tcf(c_134667,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk6,sk7))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134649,c_28940,c_134161]) ).
tcf(c_134671,plain,
( ( cons(sk6,app(sk7,sk7)) = cons(sk6,sk7) )
| ~ frontsegP(cons(sk6,sk7),cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134651,c_28940,c_134161]) ).
tcf(c_134674,plain,
app(cons(sk6,sk7),skaf45(cons(sk6,app(sk7,sk7)),cons(sk6,sk7))) = cons(sk6,app(sk7,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_134650,c_28940,c_134161]) ).
tcf(c_134677,plain,
( ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(sk7)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_132513,c_332]) ).
tcf(c_134678,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk8,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(app(cons(sk6,sk8),sk7),X0)) ),
inference(superposition,[status(thm)],[c_132513,c_420]) ).
tcf(c_134679,plain,
! [X0: $i] :
( ( cons(sk6,sk8) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ( cons(sk6,app(sk8,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_132513,c_398]) ).
tcf(c_134681,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(cons(sk6,sk8),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,sk8))
| ~ memberP(cons(sk6,app(sk8,sk7)),X0) ),
inference(superposition,[status(thm)],[c_132513,c_405]) ).
tcf(c_134682,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(cons(sk6,sk8))
| ( cons(sk6,app(sk8,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_132513,c_366]) ).
tcf(c_134683,plain,
( ( cons(sk6,sk8) = nil )
| ~ ssList(sk7)
| ~ ssList(cons(sk6,sk8))
| ( cons(sk6,app(sk8,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_132513,c_365]) ).
tcf(c_134684,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),cons(sk6,sk8))
| ~ ssList(sk7)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_132513,c_808]) ).
tcf(c_134685,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_132513,c_807]) ).
tcf(c_134686,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_132513,c_388]) ).
tcf(c_134687,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_132513,c_383]) ).
tcf(c_134688,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ( app(cons(sk6,sk8),X0) != cons(sk6,app(sk8,sk7)) ) ),
inference(superposition,[status(thm)],[c_132513,c_397]) ).
tcf(c_134689,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,sk8))
| ~ memberP(cons(sk6,sk8),X0) ),
inference(superposition,[status(thm)],[c_132513,c_387]) ).
tcf(c_134690,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(cons(sk6,sk8),X0) ),
inference(superposition,[status(thm)],[c_132513,c_384]) ).
tcf(c_134691,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk8,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_132513,c_419]) ).
tcf(c_134692,plain,
( ( cons(sk6,sk8) = iPr_def_14 )
| ~ ssList(cons(sk6,sk8))
| ( cons(sk6,app(sk8,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_132513,c_51335]) ).
tcf(c_134693,plain,
( ( cons(sk6,sk8) = nil )
| ~ ssList(cons(sk6,sk8))
| ( cons(sk6,app(sk8,sk7)) != sk7 ) ),
inference(superposition,[status(thm)],[c_132513,c_17625]) ).
tcf(c_134694,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk8)
| ~ ssList(sk7)
| ~ ssList(app(cons(sk6,sk8),sk7)) ),
inference(superposition,[status(thm)],[c_132513,c_37139]) ).
tcf(c_134695,plain,
! [X0: $i] :
( segmentP(cons(sk6,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(superposition,[status(thm)],[c_132513,c_37047]) ).
tcf(c_134696,plain,
ssList(cons(sk6,app(sk8,sk7))),
inference(forward_subsumption_resolution,[status(thm)],[c_134677,c_6483,c_28938]) ).
tcf(c_134697,plain,
rearsegP(cons(sk6,app(sk8,sk7)),sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_134685,c_6483,c_28938]) ).
tcf(c_134698,plain,
! [X0: $i] :
( segmentP(cons(sk6,app(sk8,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134695,c_6483]) ).
tcf(c_134702,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk8)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(light_normalisation,[status(thm)],[c_134694,c_132513]) ).
tcf(c_134703,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk8)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134702,c_6483]) ).
tcf(c_134706,plain,
frontsegP(cons(sk6,app(sk8,sk7)),cons(sk6,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_134684,c_6483,c_28938]) ).
tcf(c_134707,plain,
cons(sk6,app(sk8,sk7)) != sk7,
inference(forward_subsumption_resolution,[status(thm)],[c_134693,c_37624,c_28938]) ).
tcf(c_134711,plain,
( ( cons(sk6,sk8) = iPr_def_14 )
| ( cons(sk6,app(sk8,sk7)) != cons(sk6,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134692,c_28938]) ).
tcf(c_134714,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk8,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134687,c_6483,c_28938]) ).
tcf(c_134718,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk8,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134686,c_6483,c_28938]) ).
tcf(c_134722,plain,
cons(sk6,app(sk8,sk7)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_134683,c_37624,c_6483,c_28938]) ).
tcf(c_134723,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk8,sk7)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134690,c_6483,c_28938]) ).
tcf(c_134727,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk8,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134689,c_6483,c_28938]) ).
tcf(c_134731,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk8,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134691,c_6483,c_28938]) ).
tcf(c_134736,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(cons(sk6,sk8),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk8,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134681,c_6483,c_28938]) ).
tcf(c_134741,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(cons(sk6,sk8),X0) != cons(sk6,app(sk8,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134688,c_6483,c_28938]) ).
tcf(c_134745,plain,
! [X0: $i] :
( ( cons(sk6,sk8) = X0 )
| ~ ssList(X0)
| ( cons(sk6,app(sk8,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134679,c_6483,c_28938]) ).
tcf(c_134749,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk8,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(app(cons(sk6,app(sk8,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_134678,c_132513]) ).
tcf(c_134750,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk8,sk7)),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,app(sk8,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134749,c_6483,c_28938]) ).
tcf(c_134830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf72(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf72(X1)))
| ~ ssList(skaf82(skaf72(X1)))
| ~ leq(X2,skaf83(skaf72(X1)))
| ~ leq(skaf83(skaf72(X1)),X2)
| ~ ssList(app(app(X0,skaf72(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf72(X1)),skaf82(skaf72(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10993,c_432]) ).
tcf(c_134831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf72(X1)))
| leq(skaf83(skaf72(X1)),X2)
| ( skaf72(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf72(X1)))
| ~ ssList(skaf82(skaf72(X1)))
| ~ ssList(app(app(X0,skaf72(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf72(X1)),skaf82(skaf72(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10993,c_431]) ).
tcf(c_134832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf72(X1)))
| lt(skaf83(skaf72(X1)),X2)
| ( skaf72(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf72(X1)))
| ~ ssList(skaf82(skaf72(X1)))
| ~ ssList(app(app(X0,skaf72(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf72(X1)),skaf82(skaf72(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10993,c_430]) ).
tcf(c_134833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf72(X1)),X2)
| ( skaf72(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf72(X1)))
| ~ ssList(skaf82(skaf72(X1)))
| ~ ssList(app(app(X0,skaf72(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf72(X1)),skaf82(skaf72(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10993,c_429]) ).
tcf(c_134834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf72(X1)),X2)
| ( skaf72(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf72(X1)))
| ~ ssList(skaf82(skaf72(X1)))
| ~ ssList(app(app(X0,skaf72(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf72(X1)),skaf82(skaf72(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10993,c_428]) ).
tcf(c_134835,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf72(X1)))
| ~ ssList(skaf82(skaf72(X1)))
| ~ ssList(app(app(X0,skaf72(X1)),cons(skaf83(skaf72(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf72(X1)),skaf82(skaf72(X1)))),cons(skaf83(skaf72(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10993,c_426]) ).
tcf(c_134836,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf72(X1)),skaf83(skaf72(X1)))
| ( skaf72(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf72(X1)))
| ~ ssList(skaf82(skaf72(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf72(X1)),skaf82(skaf72(X1))))) ),
inference(superposition,[status(thm)],[c_10993,c_422]) ).
tcf(c_134837,plain,
! [X0: $i] :
( memberP(skaf72(X0),skaf83(skaf72(X0)))
| ( skaf72(X0) = nil )
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10993,c_385]) ).
tcf(c_134839,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( skaf82(skaf72(X0)) = nil )
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0)))
| ( skaf72(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10993,c_21847]) ).
tcf(c_134840,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( skaf82(skaf72(X0)) = nil )
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0)))
| ( skaf72(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10993,c_21842]) ).
tcf(c_134841,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( skaf83(skaf72(X0)) = sk5 )
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0)))
| ( skaf72(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10993,c_21750]) ).
tcf(c_134842,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( skaf83(skaf72(X0)) = sk6 )
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0)))
| ( skaf72(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10993,c_21745]) ).
tcf(c_134843,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( skaf83(skaf72(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf72(X0))
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10993,c_21595]) ).
tcf(c_134844,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( skaf83(skaf72(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf72(X0))
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10993,c_21590]) ).
tcf(c_134845,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( skaf83(skaf72(X0)) = sk5 )
| ~ frontsegP(skaf72(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10993,c_21585]) ).
tcf(c_134846,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( skaf83(skaf72(X0)) = sk6 )
| ~ frontsegP(skaf72(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10993,c_21580]) ).
tcf(c_134847,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf72(X0)))
| ( skaf72(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf72(X0))
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10993,c_21202]) ).
tcf(c_134848,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf72(X0)))
| ( skaf72(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf72(X0))
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10993,c_21197]) ).
tcf(c_134851,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X0) = nil )
| ( skaf83(skaf72(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0)))
| ~ frontsegP(skaf72(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10993,c_423]) ).
tcf(c_134852,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf72(X0)),X2)
| ( skaf72(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0)))
| ~ frontsegP(skaf72(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10993,c_421]) ).
tcf(c_134853,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf72(X0)),X1)
| ( skaf72(X0) = nil )
| ( skaf83(skaf72(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0)))
| ~ memberP(skaf72(X0),X1) ),
inference(superposition,[status(thm)],[c_10993,c_408]) ).
tcf(c_134854,plain,
! [X0: $i] :
( leq(skaf83(skaf72(X0)),hd(skaf82(skaf72(X0))))
| ( skaf72(X0) = nil )
| ( skaf82(skaf72(X0)) = nil )
| ~ totalorderedP(skaf72(X0))
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10993,c_382]) ).
tcf(c_134855,plain,
! [X0: $i] :
( lt(skaf83(skaf72(X0)),hd(skaf82(skaf72(X0))))
| ( skaf72(X0) = nil )
| ( skaf82(skaf72(X0)) = nil )
| ~ strictorderedP(skaf72(X0))
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10993,c_381]) ).
tcf(c_134856,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf72(X0)))
| ( skaf72(X0) = nil )
| ( skaf82(skaf72(X0)) = nil )
| ~ totalorderedP(skaf72(X0))
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10993,c_372]) ).
tcf(c_134857,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf72(X0)))
| ( skaf72(X0) = nil )
| ( skaf82(skaf72(X0)) = nil )
| ~ strictorderedP(skaf72(X0))
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0))) ),
inference(superposition,[status(thm)],[c_10993,c_371]) ).
tcf(c_134858,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0)))
| ( skaf82(skaf72(X0)) != skaf72(X0) ) ),
inference(superposition,[status(thm)],[c_10993,c_346]) ).
tcf(c_134860,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf72(X1)),X0),skaf72(X1))
| ( skaf72(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf72(X1)))
| ~ ssList(skaf82(skaf72(X1)))
| ~ frontsegP(X0,skaf82(skaf72(X1))) ),
inference(superposition,[status(thm)],[c_10993,c_425]) ).
tcf(c_134861,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X2) = nil )
| ( skaf83(skaf72(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf72(X2)))
| ~ ssList(skaf82(skaf72(X2)))
| ~ ssList(app(X0,cons(X1,skaf72(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf72(X2)),skaf82(skaf72(X2)))))) ),
inference(superposition,[status(thm)],[c_10993,c_427]) ).
tcf(c_134862,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X2) = nil )
| ( skaf82(skaf72(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf72(X2)))
| ~ ssList(skaf82(skaf72(X2)))
| ( cons(X0,X1) != skaf72(X2) ) ),
inference(superposition,[status(thm)],[c_10993,c_418]) ).
tcf(c_134863,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X2) = nil )
| ( skaf83(skaf72(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf72(X2)))
| ~ ssList(skaf82(skaf72(X2)))
| ( cons(X0,X1) != skaf72(X2) ) ),
inference(superposition,[status(thm)],[c_10993,c_417]) ).
tcf(c_134864,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X2) = nil )
| ( skaf83(skaf72(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf72(X2)))
| ~ ssList(skaf82(skaf72(X2)))
| ~ frontsegP(cons(X0,X1),skaf72(X2)) ),
inference(superposition,[status(thm)],[c_10993,c_423]) ).
tcf(c_134865,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf72(X2)))
| ( skaf72(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf72(X2)))
| ~ ssList(skaf82(skaf72(X2)))
| ~ frontsegP(cons(X0,X1),skaf72(X2)) ),
inference(superposition,[status(thm)],[c_10993,c_421]) ).
tcf(c_134866,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf72(X0),cons(skaf83(skaf72(X0)),X1))
| ( skaf72(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0)))
| ~ frontsegP(skaf82(skaf72(X0)),X1) ),
inference(superposition,[status(thm)],[c_10993,c_425]) ).
tcf(c_134867,plain,
! [X0: $i,X1: $i] :
( memberP(skaf72(X0),X1)
| ( skaf72(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf72(X0)))
| ~ ssList(skaf82(skaf72(X0)))
| ~ memberP(skaf82(skaf72(X0)),X1) ),
inference(superposition,[status(thm)],[c_10993,c_386]) ).
tcf(c_134868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf72(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf72(X3)))
| ~ ssList(skaf82(skaf72(X3)))
| ~ leq(X1,skaf83(skaf72(X3)))
| ~ leq(skaf83(skaf72(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf72(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf72(X3)),skaf82(skaf72(X3))))) ),
inference(superposition,[status(thm)],[c_10993,c_432]) ).
tcf(c_134869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf72(X3)))
| leq(skaf83(skaf72(X3)),X1)
| ( skaf72(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf72(X3)))
| ~ ssList(skaf82(skaf72(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf72(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf72(X3)),skaf82(skaf72(X3))))) ),
inference(superposition,[status(thm)],[c_10993,c_431]) ).
tcf(c_134870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf72(X3)))
| lt(skaf83(skaf72(X3)),X1)
| ( skaf72(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf72(X3)))
| ~ ssList(skaf82(skaf72(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf72(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf72(X3)),skaf82(skaf72(X3))))) ),
inference(superposition,[status(thm)],[c_10993,c_430]) ).
tcf(c_134871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf72(X3)))
| ( skaf72(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf72(X3)))
| ~ ssList(skaf82(skaf72(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf72(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf72(X3)),skaf82(skaf72(X3))))) ),
inference(superposition,[status(thm)],[c_10993,c_429]) ).
tcf(c_134872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf72(X3)))
| ( skaf72(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf72(X3)))
| ~ ssList(skaf82(skaf72(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf72(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf72(X3)),skaf82(skaf72(X3))))) ),
inference(superposition,[status(thm)],[c_10993,c_428]) ).
tcf(c_134873,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf72(X1)))
| ~ ssList(skaf82(skaf72(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf72(X1)),X2)),skaf72(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf72(X1)),X2)),cons(skaf83(skaf72(X1)),skaf82(skaf72(X1))))) ),
inference(superposition,[status(thm)],[c_10993,c_426]) ).
tcf(c_134874,plain,
! [X0: $i] :
( memberP(skaf72(X0),skaf83(skaf72(X0)))
| ( skaf72(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134837,c_259,c_260]) ).
tcf(c_134877,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( skaf82(skaf72(X0)) != skaf72(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134858,c_259,c_260]) ).
tcf(c_134880,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf72(X0)))
| ( skaf72(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf72(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134848,c_259,c_260]) ).
tcf(c_134884,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf72(X0)))
| ( skaf72(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf72(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134847,c_259,c_260]) ).
tcf(c_134888,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( skaf83(skaf72(X0)) = sk6 )
| ~ frontsegP(skaf72(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134846,c_259,c_260]) ).
tcf(c_134892,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( skaf83(skaf72(X0)) = sk5 )
| ~ frontsegP(skaf72(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134845,c_259,c_260]) ).
tcf(c_134896,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( skaf83(skaf72(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf72(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134844,c_259,c_260]) ).
tcf(c_134900,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( skaf83(skaf72(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf72(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134843,c_259,c_260]) ).
tcf(c_134904,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( skaf83(skaf72(X0)) = sk6 )
| ( skaf72(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134842,c_259,c_260]) ).
tcf(c_134908,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( skaf83(skaf72(X0)) = sk5 )
| ( skaf72(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134841,c_259,c_260]) ).
tcf(c_134912,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( skaf82(skaf72(X0)) = nil )
| ( skaf72(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134840,c_259,c_260]) ).
tcf(c_134916,plain,
! [X0: $i] :
( ( skaf72(X0) = nil )
| ( skaf82(skaf72(X0)) = nil )
| ( skaf72(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134839,c_259,c_260]) ).
tcf(c_134920,plain,
! [X0: $i,X1: $i] :
( memberP(skaf72(X0),X1)
| ( skaf72(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf72(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134867,c_259,c_260]) ).
tcf(c_134925,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf72(X0)))
| ( skaf72(X0) = nil )
| ( skaf82(skaf72(X0)) = nil )
| ~ strictorderedP(skaf72(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134857,c_259,c_260]) ).
tcf(c_134930,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf72(X0)))
| ( skaf72(X0) = nil )
| ( skaf82(skaf72(X0)) = nil )
| ~ totalorderedP(skaf72(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134856,c_259,c_260]) ).
tcf(c_134935,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf72(X0),cons(skaf83(skaf72(X0)),X1))
| ( skaf72(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf72(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134866,c_259,c_260]) ).
tcf(c_134940,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf72(X1)),X0),skaf72(X1))
| ( skaf72(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf72(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134860,c_259,c_260]) ).
tcf(c_134945,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf72(X2)))
| ( skaf72(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf72(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134865,c_259,c_260]) ).
tcf(c_134951,plain,
! [X0: $i] :
( lt(skaf83(skaf72(X0)),hd(skaf82(skaf72(X0))))
| ( skaf72(X0) = nil )
| ( skaf82(skaf72(X0)) = nil )
| ~ strictorderedP(skaf72(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134855,c_259,c_260]) ).
tcf(c_134956,plain,
! [X0: $i] :
( leq(skaf83(skaf72(X0)),hd(skaf82(skaf72(X0))))
| ( skaf72(X0) = nil )
| ( skaf82(skaf72(X0)) = nil )
| ~ totalorderedP(skaf72(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134854,c_259,c_260]) ).
tcf(c_134961,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf72(X0)),X2)
| ( skaf72(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf72(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134852,c_259,c_260]) ).
tcf(c_134967,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X2) = nil )
| ( skaf83(skaf72(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf72(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134864,c_259,c_260]) ).
tcf(c_134973,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf72(X0)),X1)
| ( skaf72(X0) = nil )
| ( skaf83(skaf72(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf72(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134853,c_259,c_260]) ).
tcf(c_134979,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X0) = nil )
| ( skaf83(skaf72(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf72(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134851,c_259,c_260]) ).
tcf(c_134985,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X2) = nil )
| ( skaf83(skaf72(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf72(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134863,c_259,c_260]) ).
tcf(c_134991,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X2) = nil )
| ( skaf82(skaf72(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf72(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134862,c_259,c_260]) ).
tcf(c_134997,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf72(X1)),skaf83(skaf72(X1)))
| ( skaf72(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf72(X1)),skaf82(skaf72(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134836,c_259,c_260]) ).
tcf(c_135002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X2) = nil )
| ( skaf83(skaf72(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf72(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf72(X2)),skaf82(skaf72(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134861,c_259,c_260]) ).
tcf(c_135009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf72(X1)),X2)),skaf72(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf72(X1)),X2)),cons(skaf83(skaf72(X1)),skaf82(skaf72(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134873,c_259,c_260]) ).
tcf(c_135015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf72(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf72(X1)),cons(skaf83(skaf72(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf72(X1)),skaf82(skaf72(X1)))),cons(skaf83(skaf72(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134835,c_259,c_260]) ).
tcf(c_135021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf72(X3)))
| ( skaf72(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf72(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf72(X3)),skaf82(skaf72(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134872,c_259,c_260]) ).
tcf(c_135029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf72(X3)))
| ( skaf72(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf72(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf72(X3)),skaf82(skaf72(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134871,c_259,c_260]) ).
tcf(c_135037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf72(X1)),X2)
| ( skaf72(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf72(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf72(X1)),skaf82(skaf72(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134834,c_259,c_260]) ).
tcf(c_135045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf72(X1)),X2)
| ( skaf72(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf72(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf72(X1)),skaf82(skaf72(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134833,c_259,c_260]) ).
tcf(c_135053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf72(X3)))
| lt(skaf83(skaf72(X3)),X1)
| ( skaf72(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf72(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf72(X3)),skaf82(skaf72(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134870,c_259,c_260]) ).
tcf(c_135062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf72(X3)))
| leq(skaf83(skaf72(X3)),X1)
| ( skaf72(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf72(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf72(X3)),skaf82(skaf72(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134869,c_259,c_260]) ).
tcf(c_135071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf72(X1)))
| lt(skaf83(skaf72(X1)),X2)
| ( skaf72(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf72(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf72(X1)),skaf82(skaf72(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134832,c_259,c_260]) ).
tcf(c_135080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf72(X1)))
| leq(skaf83(skaf72(X1)),X2)
| ( skaf72(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf72(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf72(X1)),skaf82(skaf72(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134831,c_259,c_260]) ).
tcf(c_135089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf72(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf72(X3)))
| ~ leq(skaf83(skaf72(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf72(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf72(X3)),skaf82(skaf72(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134868,c_259,c_260]) ).
tcf(c_135098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf72(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf72(X1)))
| ~ leq(skaf83(skaf72(X1)),X2)
| ~ ssList(app(app(X0,skaf72(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf72(X1)),skaf82(skaf72(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134830,c_259,c_260]) ).
tcf(c_135257,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk8,sk7)),sk8),X0) = app(cons(sk6,app(sk8,sk7)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134696,c_16217]) ).
tcf(c_135258,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk8,sk7)),sk7),X0) = app(cons(sk6,app(sk8,sk7)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134696,c_16216]) ).
tcf(c_135259,plain,
! [X0: $i] :
( ( app(app(cons(sk6,app(sk8,sk7)),sk4),X0) = app(cons(sk6,app(sk8,sk7)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134696,c_16215]) ).
tcf(c_135260,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk6,app(sk8,sk7)))) = app(cons(X1,X0),cons(sk6,app(sk8,sk7))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134696,c_404]) ).
tcf(c_135261,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk6,app(sk8,sk7))),X0) = app(X1,app(cons(sk6,app(sk8,sk7)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134696,c_396]) ).
tcf(c_135262,plain,
! [X0: $i] :
( ( cons(sk6,app(sk8,sk7)) = nil )
| ( app(tl(cons(sk6,app(sk8,sk7))),X0) = tl(app(cons(sk6,app(sk8,sk7)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134696,c_380]) ).
tcf(c_135263,plain,
! [X0: $i] :
( ( cons(sk6,app(sk8,sk7)) = nil )
| ( hd(app(cons(sk6,app(sk8,sk7)),X0)) = hd(cons(sk6,app(sk8,sk7))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134696,c_370]) ).
tcf(c_135264,plain,
cons(sk6,app(cons(sk6,app(sk8,sk7)),sk7)) = app(cons(sk6,cons(sk6,app(sk8,sk7))),sk7),
inference(superposition,[status(thm)],[c_134696,c_122890]) ).
tcf(c_135265,plain,
hd(app(iPr_def_12,cons(sk6,app(sk8,sk7)))) = sk5,
inference(superposition,[status(thm)],[c_134696,c_11944]) ).
tcf(c_135266,plain,
cons(sk5,app(cons(sk6,app(sk8,sk7)),sk7)) = app(cons(sk5,cons(sk6,app(sk8,sk7))),sk7),
inference(superposition,[status(thm)],[c_134696,c_122889]) ).
tcf(c_135267,plain,
hd(app(iPr_def_14,cons(sk6,app(sk8,sk7)))) = sk6,
inference(superposition,[status(thm)],[c_134696,c_11940]) ).
tcf(c_135268,plain,
hd(cons(skac2,cons(sk6,app(sk8,sk7)))) = skac2,
inference(superposition,[status(thm)],[c_134696,c_10021]) ).
tcf(c_135269,plain,
hd(cons(skac3,cons(sk6,app(sk8,sk7)))) = skac3,
inference(superposition,[status(thm)],[c_134696,c_10020]) ).
tcf(c_135270,plain,
tl(cons(skac2,cons(sk6,app(sk8,sk7)))) = cons(sk6,app(sk8,sk7)),
inference(superposition,[status(thm)],[c_134696,c_9891]) ).
tcf(c_135271,plain,
cons(sk6,app(cons(sk6,app(sk8,sk7)),sk4)) = app(cons(sk6,cons(sk6,app(sk8,sk7))),sk4),
inference(superposition,[status(thm)],[c_134696,c_64778]) ).
tcf(c_135272,plain,
cons(sk5,app(cons(sk6,app(sk8,sk7)),sk4)) = app(cons(sk5,cons(sk6,app(sk8,sk7))),sk4),
inference(superposition,[status(thm)],[c_134696,c_64777]) ).
tcf(c_135273,plain,
tl(cons(skac3,cons(sk6,app(sk8,sk7)))) = cons(sk6,app(sk8,sk7)),
inference(superposition,[status(thm)],[c_134696,c_9890]) ).
tcf(c_135274,plain,
app(app(sk8,sk8),cons(sk6,app(sk8,sk7))) = app(sk8,app(sk8,cons(sk6,app(sk8,sk7)))),
inference(superposition,[status(thm)],[c_134696,c_56349]) ).
tcf(c_135275,plain,
app(app(sk7,sk8),cons(sk6,app(sk8,sk7))) = app(sk7,app(sk8,cons(sk6,app(sk8,sk7)))),
inference(superposition,[status(thm)],[c_134696,c_56348]) ).
tcf(c_135276,plain,
app(app(sk4,sk8),cons(sk6,app(sk8,sk7))) = app(sk4,app(sk8,cons(sk6,app(sk8,sk7)))),
inference(superposition,[status(thm)],[c_134696,c_56347]) ).
tcf(c_135277,plain,
app(app(sk8,sk7),cons(sk6,app(sk8,sk7))) = app(sk8,app(sk7,cons(sk6,app(sk8,sk7)))),
inference(superposition,[status(thm)],[c_134696,c_45540]) ).
tcf(c_135278,plain,
app(app(sk7,sk7),cons(sk6,app(sk8,sk7))) = app(sk7,app(sk7,cons(sk6,app(sk8,sk7)))),
inference(superposition,[status(thm)],[c_134696,c_45539]) ).
tcf(c_135279,plain,
app(app(sk4,sk7),cons(sk6,app(sk8,sk7))) = app(sk4,app(sk7,cons(sk6,app(sk8,sk7)))),
inference(superposition,[status(thm)],[c_134696,c_45538]) ).
tcf(c_135280,plain,
app(app(sk8,sk4),cons(sk6,app(sk8,sk7))) = app(sk8,app(sk4,cons(sk6,app(sk8,sk7)))),
inference(superposition,[status(thm)],[c_134696,c_37633]) ).
tcf(c_135281,plain,
app(app(sk7,sk4),cons(sk6,app(sk8,sk7))) = app(sk7,app(sk4,cons(sk6,app(sk8,sk7)))),
inference(superposition,[status(thm)],[c_134696,c_37632]) ).
tcf(c_135282,plain,
app(app(sk4,sk4),cons(sk6,app(sk8,sk7))) = app(sk4,app(sk4,cons(sk6,app(sk8,sk7)))),
inference(superposition,[status(thm)],[c_134696,c_37631]) ).
tcf(c_135283,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk6,app(sk8,sk7))) = tl(app(sk8,cons(sk6,app(sk8,sk7)))) ) ),
inference(superposition,[status(thm)],[c_134696,c_14611]) ).
tcf(c_135284,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk6,app(sk8,sk7))) = tl(app(sk7,cons(sk6,app(sk8,sk7)))) ) ),
inference(superposition,[status(thm)],[c_134696,c_14610]) ).
tcf(c_135285,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk6,app(sk8,sk7))) = tl(app(sk4,cons(sk6,app(sk8,sk7)))) ) ),
inference(superposition,[status(thm)],[c_134696,c_14609]) ).
tcf(c_135286,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk6,app(sk8,sk7)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_134696,c_11903]) ).
tcf(c_135287,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk6,app(sk8,sk7)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_134696,c_11902]) ).
tcf(c_135288,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk6,app(sk8,sk7)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_134696,c_11901]) ).
tcf(c_135289,plain,
( cyclefreeP(cons(sk6,app(sk8,sk7)))
| ( app(app(skaf51(cons(sk6,app(sk8,sk7))),cons(skaf49(cons(sk6,app(sk8,sk7))),skaf52(cons(sk6,app(sk8,sk7))))),cons(skaf50(cons(sk6,app(sk8,sk7))),skaf53(cons(sk6,app(sk8,sk7))))) = cons(sk6,app(sk8,sk7)) ) ),
inference(superposition,[status(thm)],[c_134696,c_414]) ).
tcf(c_135290,plain,
( totalorderP(cons(sk6,app(sk8,sk7)))
| ( app(app(skaf56(cons(sk6,app(sk8,sk7))),cons(skaf54(cons(sk6,app(sk8,sk7))),skaf57(cons(sk6,app(sk8,sk7))))),cons(skaf55(cons(sk6,app(sk8,sk7))),skaf58(cons(sk6,app(sk8,sk7))))) = cons(sk6,app(sk8,sk7)) ) ),
inference(superposition,[status(thm)],[c_134696,c_413]) ).
tcf(c_135291,plain,
( strictorderP(cons(sk6,app(sk8,sk7)))
| ( app(app(skaf61(cons(sk6,app(sk8,sk7))),cons(skaf59(cons(sk6,app(sk8,sk7))),skaf62(cons(sk6,app(sk8,sk7))))),cons(skaf60(cons(sk6,app(sk8,sk7))),skaf63(cons(sk6,app(sk8,sk7))))) = cons(sk6,app(sk8,sk7)) ) ),
inference(superposition,[status(thm)],[c_134696,c_412]) ).
tcf(c_135292,plain,
( totalorderedP(cons(sk6,app(sk8,sk7)))
| ( app(app(skaf66(cons(sk6,app(sk8,sk7))),cons(skaf64(cons(sk6,app(sk8,sk7))),skaf67(cons(sk6,app(sk8,sk7))))),cons(skaf65(cons(sk6,app(sk8,sk7))),skaf68(cons(sk6,app(sk8,sk7))))) = cons(sk6,app(sk8,sk7)) ) ),
inference(superposition,[status(thm)],[c_134696,c_411]) ).
tcf(c_135293,plain,
( strictorderedP(cons(sk6,app(sk8,sk7)))
| ( app(app(skaf71(cons(sk6,app(sk8,sk7))),cons(skaf69(cons(sk6,app(sk8,sk7))),skaf72(cons(sk6,app(sk8,sk7))))),cons(skaf70(cons(sk6,app(sk8,sk7))),skaf73(cons(sk6,app(sk8,sk7))))) = cons(sk6,app(sk8,sk7)) ) ),
inference(superposition,[status(thm)],[c_134696,c_410]) ).
tcf(c_135294,plain,
( duplicatefreeP(cons(sk6,app(sk8,sk7)))
| ( app(app(skaf75(cons(sk6,app(sk8,sk7))),cons(skaf74(cons(sk6,app(sk8,sk7))),skaf76(cons(sk6,app(sk8,sk7))))),cons(skaf74(cons(sk6,app(sk8,sk7))),skaf77(cons(sk6,app(sk8,sk7))))) = cons(sk6,app(sk8,sk7)) ) ),
inference(superposition,[status(thm)],[c_134696,c_409]) ).
tcf(c_135295,plain,
( equalelemsP(cons(sk6,app(sk8,sk7)))
| ( app(skaf80(cons(sk6,app(sk8,sk7))),cons(skaf78(cons(sk6,app(sk8,sk7))),cons(skaf79(cons(sk6,app(sk8,sk7))),skaf81(cons(sk6,app(sk8,sk7)))))) = cons(sk6,app(sk8,sk7)) ) ),
inference(superposition,[status(thm)],[c_134696,c_389]) ).
tcf(c_135296,plain,
hd(cons(sk6,cons(sk6,app(sk8,sk7)))) = sk6,
inference(superposition,[status(thm)],[c_134696,c_10017]) ).
tcf(c_135297,plain,
( ( cons(sk6,app(sk8,sk7)) = nil )
| ( cons(skaf83(cons(sk6,app(sk8,sk7))),skaf82(cons(sk6,app(sk8,sk7)))) = cons(sk6,app(sk8,sk7)) ) ),
inference(superposition,[status(thm)],[c_134696,c_356]) ).
tcf(c_135298,plain,
( ( cons(sk6,app(sk8,sk7)) = nil )
| ( cons(hd(cons(sk6,app(sk8,sk7))),tl(cons(sk6,app(sk8,sk7)))) = cons(sk6,app(sk8,sk7)) ) ),
inference(superposition,[status(thm)],[c_134696,c_351]) ).
tcf(c_135299,plain,
hd(cons(sk5,cons(sk6,app(sk8,sk7)))) = sk5,
inference(superposition,[status(thm)],[c_134696,c_10016]) ).
tcf(c_135300,plain,
tl(cons(sk6,cons(sk6,app(sk8,sk7)))) = cons(sk6,app(sk8,sk7)),
inference(superposition,[status(thm)],[c_134696,c_9887]) ).
tcf(c_135301,plain,
tl(cons(sk5,cons(sk6,app(sk8,sk7)))) = cons(sk6,app(sk8,sk7)),
inference(superposition,[status(thm)],[c_134696,c_9886]) ).
tcf(c_135302,plain,
( duplicatefreeP(cons(sk6,app(sk8,sk7)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_134696,c_6471]) ).
tcf(c_135303,plain,
app(nil,cons(sk6,app(sk8,sk7))) = cons(sk6,app(sk8,sk7)),
inference(superposition,[status(thm)],[c_134696,c_321]) ).
tcf(c_135304,plain,
app(cons(sk6,app(sk8,sk7)),nil) = cons(sk6,app(sk8,sk7)),
inference(superposition,[status(thm)],[c_134696,c_320]) ).
tcf(c_135432,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(X0,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134697,c_400]) ).
tcf(c_135433,plain,
( ( app(skaf46(cons(sk6,app(sk8,sk7)),sk7),sk7) = cons(sk6,app(sk8,sk7)) )
| ~ ssList(sk7)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134697,c_378]) ).
tcf(c_135434,plain,
( ( cons(sk6,app(sk8,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134697,c_375]) ).
tcf(c_135435,plain,
! [X0: $i] :
( rearsegP(X0,sk7)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135432,c_6483,c_134696]) ).
tcf(c_135439,plain,
( ( cons(sk6,app(sk8,sk7)) = sk7 )
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135434,c_6483,c_134696]) ).
tcf(c_135442,plain,
app(skaf46(cons(sk6,app(sk8,sk7)),sk7),sk7) = cons(sk6,app(sk8,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_135433,c_6483,c_134696]) ).
tcf(c_135459,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,app(iPr_def_12,skaf46(X0,X1))))
| ( app(iPr_def_12,skaf46(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf46(X0,X1)))
| ~ ssList(app(iPr_def_12,skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_124180,c_407]) ).
tcf(c_135460,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,app(iPr_def_12,skaf46(X0,X1))))
| ( app(iPr_def_12,skaf46(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf46(X0,X1)))
| ~ ssList(app(iPr_def_12,skaf46(X0,X1))) ),
inference(superposition,[status(thm)],[c_124180,c_406]) ).
tcf(c_135490,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,app(iPr_def_12,skaf45(X0,X1))))
| ( app(iPr_def_12,skaf45(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf45(X0,X1)))
| ~ ssList(app(iPr_def_12,skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_124181,c_407]) ).
tcf(c_135491,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,app(iPr_def_12,skaf45(X0,X1))))
| ( app(iPr_def_12,skaf45(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf45(X0,X1)))
| ~ ssList(app(iPr_def_12,skaf45(X0,X1))) ),
inference(superposition,[status(thm)],[c_124181,c_406]) ).
tcf(c_135519,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_79698,c_401]) ).
tcf(c_135520,plain,
( ( app(sk7,skaf45(app(sk4,sk4),sk7)) = app(sk4,sk4) )
| ~ ssList(sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_79698,c_379]) ).
tcf(c_135521,plain,
( ( app(sk4,sk4) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk7,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_79698,c_376]) ).
tcf(c_135522,plain,
( ( app(sk4,sk4) = sk7 )
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(sk7,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135521,c_6483,c_79152]) ).
tcf(c_135526,plain,
( ( app(sk7,skaf45(app(sk4,sk4),sk7)) = app(sk4,sk4) )
| ~ frontsegP(sk4,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135520,c_6483,c_79152]) ).
tcf(c_135529,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135519,c_6483,c_79152]) ).
tcf(c_135535,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac2,cons(sk5,sk4))))
| ( cons(skac2,cons(sk5,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac2)
| ~ strictorderedP(cons(skac2,cons(sk5,sk4)))
| ~ ssList(cons(skac2,cons(sk5,sk4))) ),
inference(superposition,[status(thm)],[c_85695,c_407]) ).
tcf(c_135536,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac2,cons(sk5,sk4))))
| ( cons(skac2,cons(sk5,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac2)
| ~ totalorderedP(cons(skac2,cons(sk5,sk4)))
| ~ ssList(cons(skac2,cons(sk5,sk4))) ),
inference(superposition,[status(thm)],[c_85695,c_406]) ).
tcf(c_135552,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk6,sk8))
| ~ ssList(X0)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(X0,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134706,c_401]) ).
tcf(c_135553,plain,
( ( app(cons(sk6,sk8),skaf45(cons(sk6,app(sk8,sk7)),cons(sk6,sk8))) = cons(sk6,app(sk8,sk7)) )
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134706,c_379]) ).
tcf(c_135554,plain,
( ( cons(sk6,app(sk8,sk7)) = cons(sk6,sk8) )
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134706,c_376]) ).
tcf(c_135556,plain,
( frontsegP(app(sk8,sk7),sk8)
| ~ ssItem(sk6)
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_134706,c_421]) ).
tcf(c_135557,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134706,c_84849]) ).
tcf(c_135558,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134706,c_84050]) ).
tcf(c_135559,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134706,c_84030]) ).
tcf(c_135560,plain,
( frontsegP(app(sk8,sk7),sk8)
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135556,c_6484,c_6482]) ).
tcf(c_135563,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135559,c_134696]) ).
tcf(c_135566,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135558,c_134696]) ).
tcf(c_135569,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135557,c_134696]) ).
tcf(c_135572,plain,
! [X0: $i] :
( frontsegP(X0,cons(sk6,sk8))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135552,c_28938,c_134696]) ).
tcf(c_135576,plain,
( ( cons(sk6,app(sk8,sk7)) = cons(sk6,sk8) )
| ~ frontsegP(cons(sk6,sk8),cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135554,c_28938,c_134696]) ).
tcf(c_135579,plain,
app(cons(sk6,sk8),skaf45(cons(sk6,app(sk8,sk7)),cons(sk6,sk8))) = cons(sk6,app(sk8,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_135553,c_28938,c_134696]) ).
tcf(c_135663,plain,
! [X0: $i] :
( frontsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ frontsegP(X0,app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_135560,c_401]) ).
tcf(c_135664,plain,
( ( app(sk8,skaf45(app(sk8,sk7),sk8)) = app(sk8,sk7) )
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_135560,c_379]) ).
tcf(c_135665,plain,
( ( app(sk8,sk7) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk8,sk7))
| ~ frontsegP(sk8,app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_135560,c_376]) ).
tcf(c_135666,plain,
( ( app(sk8,sk7) = sk8 )
| ~ ssList(app(sk8,sk7))
| ~ frontsegP(sk8,app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135665,c_6482]) ).
tcf(c_135670,plain,
( ( app(sk8,skaf45(app(sk8,sk7),sk8)) = app(sk8,sk7) )
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135664,c_6482]) ).
tcf(c_135673,plain,
! [X0: $i] :
( frontsegP(X0,sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,sk7))
| ~ frontsegP(X0,app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135663,c_6482]) ).
tcf(c_135685,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(X0,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132982,c_399]) ).
tcf(c_135686,plain,
! [X0: $i] :
( ( app(app(skaf47(cons(sk6,app(sk4,sk7)),X0),X0),skaf48(X0,cons(sk6,app(sk4,sk7)))) = cons(sk6,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132982,c_415]) ).
tcf(c_135687,plain,
! [X0: $i] :
( ( cons(sk6,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(X0,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132982,c_374]) ).
tcf(c_135688,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk4,iPr_def_13)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132982,c_27069]) ).
tcf(c_135689,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132982,c_28549]) ).
tcf(c_135690,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132982,c_27097]) ).
tcf(c_135691,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk4,iPr_def_15)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132982,c_27109]) ).
tcf(c_135692,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_132982,c_122398]) ).
tcf(c_135693,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132982,c_120940]) ).
tcf(c_135694,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_132982,c_117138]) ).
tcf(c_135696,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk7)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_132982,c_69982]) ).
tcf(c_135697,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk8)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_132982,c_70505]) ).
tcf(c_135700,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135691,c_24748,c_132980]) ).
tcf(c_135703,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135690,c_9020,c_132980]) ).
tcf(c_135706,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135689,c_9020,c_132980]) ).
tcf(c_135709,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135688,c_9527,c_132980]) ).
tcf(c_135712,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X1)
| ~ segmentP(X0,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135685,c_132980]) ).
tcf(c_135718,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135697,c_68959,c_132980]) ).
tcf(c_135721,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135696,c_68529,c_132980]) ).
tcf(c_135724,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135694,c_89535,c_132980]) ).
tcf(c_135727,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135693,c_89538,c_132980]) ).
tcf(c_135730,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135692,c_89541,c_132980]) ).
tcf(c_135733,plain,
! [X0: $i] :
( ( cons(sk6,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(X0,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135687,c_132980]) ).
tcf(c_135738,plain,
! [X0: $i] :
( ( app(app(skaf47(cons(sk6,app(sk4,sk7)),X0),X0),skaf48(X0,cons(sk6,app(sk4,sk7)))) = cons(sk6,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135686,c_132980]) ).
tcf(c_135744,plain,
segmentP(cons(sk6,app(sk4,sk7)),sk4),
inference(global_subsumption_just,[status(thm)],[c_132987,c_132980,c_132987]) ).
tcf(c_135746,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(X0,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_135744,c_399]) ).
tcf(c_135747,plain,
( ( app(app(skaf47(cons(sk6,app(sk4,sk7)),sk4),sk4),skaf48(sk4,cons(sk6,app(sk4,sk7)))) = cons(sk6,app(sk4,sk7)) )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_135744,c_415]) ).
tcf(c_135748,plain,
( ( cons(sk6,app(sk4,sk7)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_135744,c_374]) ).
tcf(c_135749,plain,
! [X0: $i] :
( segmentP(X0,sk4)
| ~ ssList(X0)
| ~ segmentP(X0,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135746,c_6486,c_132980]) ).
tcf(c_135753,plain,
( ( cons(sk6,app(sk4,sk7)) = sk4 )
| ~ segmentP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135748,c_6486,c_132980]) ).
tcf(c_135756,plain,
app(app(skaf47(cons(sk6,app(sk4,sk7)),sk4),sk4),skaf48(sk4,cons(sk6,app(sk4,sk7)))) = cons(sk6,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_135747,c_6486,c_132980]) ).
tcf(c_135764,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(X0,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132998,c_400]) ).
tcf(c_135765,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk6,app(sk4,sk7)),X0),X0) = cons(sk6,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132998,c_378]) ).
tcf(c_135766,plain,
! [X0: $i] :
( ( cons(sk6,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(X0,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132998,c_375]) ).
tcf(c_135767,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132998,c_15170]) ).
tcf(c_135769,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ rearsegP(sk7,cons(sk6,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132998,c_69708]) ).
tcf(c_135770,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_132998,c_81078]) ).
tcf(c_135772,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_132998,c_81049]) ).
tcf(c_135773,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_132998,c_92762]) ).
tcf(c_135775,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_132998,c_91539]) ).
tcf(c_135776,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_132998,c_115593]) ).
tcf(c_135778,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_132998,c_115569]) ).
tcf(c_135779,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk7,cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132998,c_108941]) ).
tcf(c_135780,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk7,cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132998,c_66649]) ).
tcf(c_135781,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_132998,c_129350]) ).
tcf(c_135782,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_132998,c_68485]) ).
tcf(c_135783,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_132998,c_68796]) ).
tcf(c_135784,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_132998,c_69620]) ).
tcf(c_135787,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135767,c_9020,c_132980]) ).
tcf(c_135790,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135780,c_66402,c_132980]) ).
tcf(c_135793,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ rearsegP(X0,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135764,c_132980]) ).
tcf(c_135799,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135784,c_68959,c_132980]) ).
tcf(c_135802,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135783,c_68529,c_132980]) ).
tcf(c_135805,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135782,c_132980,c_68222]) ).
tcf(c_135808,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135781,c_132980,c_127367]) ).
tcf(c_135811,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135779,c_66402,c_132980]) ).
tcf(c_135815,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135778,c_112795,c_132980]) ).
tcf(c_135818,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135776,c_112801,c_132980]) ).
tcf(c_135821,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135775,c_89535,c_132980]) ).
tcf(c_135824,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135773,c_89541,c_132980]) ).
tcf(c_135827,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135772,c_79220,c_132980]) ).
tcf(c_135830,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ rearsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135770,c_79226,c_132980]) ).
tcf(c_135833,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk7,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135769,c_28942,c_132980]) ).
tcf(c_135837,plain,
! [X0: $i] :
( ( cons(sk6,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ rearsegP(X0,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135766,c_132980]) ).
tcf(c_135842,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk6,app(sk4,sk7)),X0),X0) = cons(sk6,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135765,c_132980]) ).
tcf(c_135910,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk4,sk7)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk4,sk7))))) = cons(sk6,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_133002,c_416]) ).
tcf(c_135911,plain,
! [X0: $i] :
( memberP(app(sk4,sk7),X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_133002,c_408]) ).
tcf(c_135912,plain,
! [X0: $i] :
( memberP(app(sk4,sk7),X0)
| ( X0 = sk6 )
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135911,c_6484]) ).
tcf(c_135918,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk4,sk7)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk4,sk7))))) = cons(sk6,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135910,c_132980]) ).
tcf(c_135931,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(X0,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_383,c_133942]) ).
tcf(c_135932,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,app(sk4,sk7))),sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ ssList(app(X0,cons(sk6,app(sk4,sk7)))) ),
inference(superposition,[status(thm)],[c_807,c_133942]) ).
tcf(c_135933,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_83159,c_133942]) ).
tcf(c_135935,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_81233,c_133942]) ).
tcf(c_135936,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_107723,c_133942]) ).
tcf(c_135938,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_93147,c_133942]) ).
tcf(c_135939,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_120412,c_133942]) ).
tcf(c_135941,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_117779,c_133942]) ).
tcf(c_135942,plain,
( rearsegP(cons(sk5,sk4),sk7)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_66416,c_133942]) ).
tcf(c_135943,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68240,c_133942]) ).
tcf(c_135944,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68547,c_133942]) ).
tcf(c_135945,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68977,c_133942]) ).
tcf(c_135949,plain,
( rearsegP(cons(sk5,sk4),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135942,c_66402,c_132980]) ).
tcf(c_135952,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,app(sk4,sk7))),sk7)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sk6,app(sk4,sk7)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135932,c_132980]) ).
tcf(c_135956,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135945,c_68959,c_132980]) ).
tcf(c_135959,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135944,c_68529,c_132980]) ).
tcf(c_135962,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135943,c_132980,c_68222]) ).
tcf(c_135965,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135941,c_112795,c_132980]) ).
tcf(c_135968,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135939,c_112801,c_132980]) ).
tcf(c_135971,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135938,c_89535,c_132980]) ).
tcf(c_135974,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135936,c_89541,c_132980]) ).
tcf(c_135977,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135935,c_79220,c_132980]) ).
tcf(c_135980,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135933,c_79226,c_132980]) ).
tcf(c_135983,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135931,c_132980]) ).
tcf(c_136047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf71(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf71(X1)))
| ~ ssList(skaf82(skaf71(X1)))
| ~ leq(X2,skaf83(skaf71(X1)))
| ~ leq(skaf83(skaf71(X1)),X2)
| ~ ssList(app(app(X0,skaf71(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf71(X1)),skaf82(skaf71(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10994,c_432]) ).
tcf(c_136048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf71(X1)))
| leq(skaf83(skaf71(X1)),X2)
| ( skaf71(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf71(X1)))
| ~ ssList(skaf82(skaf71(X1)))
| ~ ssList(app(app(X0,skaf71(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf71(X1)),skaf82(skaf71(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10994,c_431]) ).
tcf(c_136049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf71(X1)))
| lt(skaf83(skaf71(X1)),X2)
| ( skaf71(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf71(X1)))
| ~ ssList(skaf82(skaf71(X1)))
| ~ ssList(app(app(X0,skaf71(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf71(X1)),skaf82(skaf71(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10994,c_430]) ).
tcf(c_136050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf71(X1)),X2)
| ( skaf71(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf71(X1)))
| ~ ssList(skaf82(skaf71(X1)))
| ~ ssList(app(app(X0,skaf71(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf71(X1)),skaf82(skaf71(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10994,c_429]) ).
tcf(c_136051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf71(X1)),X2)
| ( skaf71(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf71(X1)))
| ~ ssList(skaf82(skaf71(X1)))
| ~ ssList(app(app(X0,skaf71(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf71(X1)),skaf82(skaf71(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10994,c_428]) ).
tcf(c_136052,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf71(X1)))
| ~ ssList(skaf82(skaf71(X1)))
| ~ ssList(app(app(X0,skaf71(X1)),cons(skaf83(skaf71(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf71(X1)),skaf82(skaf71(X1)))),cons(skaf83(skaf71(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10994,c_426]) ).
tcf(c_136053,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf71(X1)),skaf83(skaf71(X1)))
| ( skaf71(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf71(X1)))
| ~ ssList(skaf82(skaf71(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf71(X1)),skaf82(skaf71(X1))))) ),
inference(superposition,[status(thm)],[c_10994,c_422]) ).
tcf(c_136054,plain,
! [X0: $i] :
( memberP(skaf71(X0),skaf83(skaf71(X0)))
| ( skaf71(X0) = nil )
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10994,c_385]) ).
tcf(c_136056,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( skaf82(skaf71(X0)) = nil )
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0)))
| ( skaf71(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10994,c_21847]) ).
tcf(c_136057,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( skaf82(skaf71(X0)) = nil )
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0)))
| ( skaf71(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10994,c_21842]) ).
tcf(c_136058,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( skaf83(skaf71(X0)) = sk5 )
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0)))
| ( skaf71(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10994,c_21750]) ).
tcf(c_136059,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( skaf83(skaf71(X0)) = sk6 )
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0)))
| ( skaf71(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10994,c_21745]) ).
tcf(c_136060,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( skaf83(skaf71(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf71(X0))
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10994,c_21595]) ).
tcf(c_136061,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( skaf83(skaf71(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf71(X0))
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10994,c_21590]) ).
tcf(c_136062,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( skaf83(skaf71(X0)) = sk5 )
| ~ frontsegP(skaf71(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10994,c_21585]) ).
tcf(c_136063,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( skaf83(skaf71(X0)) = sk6 )
| ~ frontsegP(skaf71(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10994,c_21580]) ).
tcf(c_136064,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf71(X0)))
| ( skaf71(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf71(X0))
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10994,c_21202]) ).
tcf(c_136065,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf71(X0)))
| ( skaf71(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf71(X0))
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10994,c_21197]) ).
tcf(c_136068,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X0) = nil )
| ( skaf83(skaf71(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0)))
| ~ frontsegP(skaf71(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10994,c_423]) ).
tcf(c_136069,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf71(X0)),X2)
| ( skaf71(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0)))
| ~ frontsegP(skaf71(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10994,c_421]) ).
tcf(c_136070,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf71(X0)),X1)
| ( skaf71(X0) = nil )
| ( skaf83(skaf71(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0)))
| ~ memberP(skaf71(X0),X1) ),
inference(superposition,[status(thm)],[c_10994,c_408]) ).
tcf(c_136071,plain,
! [X0: $i] :
( leq(skaf83(skaf71(X0)),hd(skaf82(skaf71(X0))))
| ( skaf71(X0) = nil )
| ( skaf82(skaf71(X0)) = nil )
| ~ totalorderedP(skaf71(X0))
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10994,c_382]) ).
tcf(c_136072,plain,
! [X0: $i] :
( lt(skaf83(skaf71(X0)),hd(skaf82(skaf71(X0))))
| ( skaf71(X0) = nil )
| ( skaf82(skaf71(X0)) = nil )
| ~ strictorderedP(skaf71(X0))
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10994,c_381]) ).
tcf(c_136073,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf71(X0)))
| ( skaf71(X0) = nil )
| ( skaf82(skaf71(X0)) = nil )
| ~ totalorderedP(skaf71(X0))
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10994,c_372]) ).
tcf(c_136074,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf71(X0)))
| ( skaf71(X0) = nil )
| ( skaf82(skaf71(X0)) = nil )
| ~ strictorderedP(skaf71(X0))
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0))) ),
inference(superposition,[status(thm)],[c_10994,c_371]) ).
tcf(c_136075,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0)))
| ( skaf82(skaf71(X0)) != skaf71(X0) ) ),
inference(superposition,[status(thm)],[c_10994,c_346]) ).
tcf(c_136077,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf71(X1)),X0),skaf71(X1))
| ( skaf71(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf71(X1)))
| ~ ssList(skaf82(skaf71(X1)))
| ~ frontsegP(X0,skaf82(skaf71(X1))) ),
inference(superposition,[status(thm)],[c_10994,c_425]) ).
tcf(c_136078,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X2) = nil )
| ( skaf83(skaf71(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf71(X2)))
| ~ ssList(skaf82(skaf71(X2)))
| ~ ssList(app(X0,cons(X1,skaf71(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf71(X2)),skaf82(skaf71(X2)))))) ),
inference(superposition,[status(thm)],[c_10994,c_427]) ).
tcf(c_136079,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X2) = nil )
| ( skaf82(skaf71(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf71(X2)))
| ~ ssList(skaf82(skaf71(X2)))
| ( cons(X0,X1) != skaf71(X2) ) ),
inference(superposition,[status(thm)],[c_10994,c_418]) ).
tcf(c_136080,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X2) = nil )
| ( skaf83(skaf71(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf71(X2)))
| ~ ssList(skaf82(skaf71(X2)))
| ( cons(X0,X1) != skaf71(X2) ) ),
inference(superposition,[status(thm)],[c_10994,c_417]) ).
tcf(c_136081,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X2) = nil )
| ( skaf83(skaf71(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf71(X2)))
| ~ ssList(skaf82(skaf71(X2)))
| ~ frontsegP(cons(X0,X1),skaf71(X2)) ),
inference(superposition,[status(thm)],[c_10994,c_423]) ).
tcf(c_136082,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf71(X2)))
| ( skaf71(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf71(X2)))
| ~ ssList(skaf82(skaf71(X2)))
| ~ frontsegP(cons(X0,X1),skaf71(X2)) ),
inference(superposition,[status(thm)],[c_10994,c_421]) ).
tcf(c_136083,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf71(X0),cons(skaf83(skaf71(X0)),X1))
| ( skaf71(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0)))
| ~ frontsegP(skaf82(skaf71(X0)),X1) ),
inference(superposition,[status(thm)],[c_10994,c_425]) ).
tcf(c_136084,plain,
! [X0: $i,X1: $i] :
( memberP(skaf71(X0),X1)
| ( skaf71(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf71(X0)))
| ~ ssList(skaf82(skaf71(X0)))
| ~ memberP(skaf82(skaf71(X0)),X1) ),
inference(superposition,[status(thm)],[c_10994,c_386]) ).
tcf(c_136085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf71(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf71(X3)))
| ~ ssList(skaf82(skaf71(X3)))
| ~ leq(X1,skaf83(skaf71(X3)))
| ~ leq(skaf83(skaf71(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf71(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf71(X3)),skaf82(skaf71(X3))))) ),
inference(superposition,[status(thm)],[c_10994,c_432]) ).
tcf(c_136086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf71(X3)))
| leq(skaf83(skaf71(X3)),X1)
| ( skaf71(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf71(X3)))
| ~ ssList(skaf82(skaf71(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf71(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf71(X3)),skaf82(skaf71(X3))))) ),
inference(superposition,[status(thm)],[c_10994,c_431]) ).
tcf(c_136087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf71(X3)))
| lt(skaf83(skaf71(X3)),X1)
| ( skaf71(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf71(X3)))
| ~ ssList(skaf82(skaf71(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf71(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf71(X3)),skaf82(skaf71(X3))))) ),
inference(superposition,[status(thm)],[c_10994,c_430]) ).
tcf(c_136088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf71(X3)))
| ( skaf71(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf71(X3)))
| ~ ssList(skaf82(skaf71(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf71(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf71(X3)),skaf82(skaf71(X3))))) ),
inference(superposition,[status(thm)],[c_10994,c_429]) ).
tcf(c_136089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf71(X3)))
| ( skaf71(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf71(X3)))
| ~ ssList(skaf82(skaf71(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf71(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf71(X3)),skaf82(skaf71(X3))))) ),
inference(superposition,[status(thm)],[c_10994,c_428]) ).
tcf(c_136090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf71(X1)))
| ~ ssList(skaf82(skaf71(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf71(X1)),X2)),skaf71(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf71(X1)),X2)),cons(skaf83(skaf71(X1)),skaf82(skaf71(X1))))) ),
inference(superposition,[status(thm)],[c_10994,c_426]) ).
tcf(c_136091,plain,
! [X0: $i] :
( memberP(skaf71(X0),skaf83(skaf71(X0)))
| ( skaf71(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136054,c_259,c_260]) ).
tcf(c_136094,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( skaf82(skaf71(X0)) != skaf71(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136075,c_259,c_260]) ).
tcf(c_136097,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf71(X0)))
| ( skaf71(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf71(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136065,c_259,c_260]) ).
tcf(c_136101,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf71(X0)))
| ( skaf71(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf71(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136064,c_259,c_260]) ).
tcf(c_136105,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( skaf83(skaf71(X0)) = sk6 )
| ~ frontsegP(skaf71(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136063,c_259,c_260]) ).
tcf(c_136109,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( skaf83(skaf71(X0)) = sk5 )
| ~ frontsegP(skaf71(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136062,c_259,c_260]) ).
tcf(c_136113,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( skaf83(skaf71(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf71(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136061,c_259,c_260]) ).
tcf(c_136117,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( skaf83(skaf71(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf71(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136060,c_259,c_260]) ).
tcf(c_136121,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( skaf83(skaf71(X0)) = sk6 )
| ( skaf71(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136059,c_259,c_260]) ).
tcf(c_136125,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( skaf83(skaf71(X0)) = sk5 )
| ( skaf71(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136058,c_259,c_260]) ).
tcf(c_136129,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( skaf82(skaf71(X0)) = nil )
| ( skaf71(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136057,c_259,c_260]) ).
tcf(c_136133,plain,
! [X0: $i] :
( ( skaf71(X0) = nil )
| ( skaf82(skaf71(X0)) = nil )
| ( skaf71(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136056,c_259,c_260]) ).
tcf(c_136137,plain,
! [X0: $i,X1: $i] :
( memberP(skaf71(X0),X1)
| ( skaf71(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf71(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136084,c_259,c_260]) ).
tcf(c_136142,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf71(X0)))
| ( skaf71(X0) = nil )
| ( skaf82(skaf71(X0)) = nil )
| ~ strictorderedP(skaf71(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136074,c_259,c_260]) ).
tcf(c_136147,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf71(X0)))
| ( skaf71(X0) = nil )
| ( skaf82(skaf71(X0)) = nil )
| ~ totalorderedP(skaf71(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136073,c_259,c_260]) ).
tcf(c_136152,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf71(X0),cons(skaf83(skaf71(X0)),X1))
| ( skaf71(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf71(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136083,c_259,c_260]) ).
tcf(c_136157,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf71(X1)),X0),skaf71(X1))
| ( skaf71(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf71(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136077,c_259,c_260]) ).
tcf(c_136162,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf71(X2)))
| ( skaf71(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf71(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136082,c_259,c_260]) ).
tcf(c_136168,plain,
! [X0: $i] :
( lt(skaf83(skaf71(X0)),hd(skaf82(skaf71(X0))))
| ( skaf71(X0) = nil )
| ( skaf82(skaf71(X0)) = nil )
| ~ strictorderedP(skaf71(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136072,c_259,c_260]) ).
tcf(c_136173,plain,
! [X0: $i] :
( leq(skaf83(skaf71(X0)),hd(skaf82(skaf71(X0))))
| ( skaf71(X0) = nil )
| ( skaf82(skaf71(X0)) = nil )
| ~ totalorderedP(skaf71(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136071,c_259,c_260]) ).
tcf(c_136178,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf71(X0)),X2)
| ( skaf71(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf71(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136069,c_259,c_260]) ).
tcf(c_136184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X2) = nil )
| ( skaf83(skaf71(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf71(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136081,c_259,c_260]) ).
tcf(c_136190,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf71(X0)),X1)
| ( skaf71(X0) = nil )
| ( skaf83(skaf71(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf71(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136070,c_259,c_260]) ).
tcf(c_136196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X0) = nil )
| ( skaf83(skaf71(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf71(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136068,c_259,c_260]) ).
tcf(c_136202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X2) = nil )
| ( skaf83(skaf71(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf71(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136080,c_259,c_260]) ).
tcf(c_136208,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X2) = nil )
| ( skaf82(skaf71(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf71(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136079,c_259,c_260]) ).
tcf(c_136214,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf71(X1)),skaf83(skaf71(X1)))
| ( skaf71(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf71(X1)),skaf82(skaf71(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136053,c_259,c_260]) ).
tcf(c_136219,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X2) = nil )
| ( skaf83(skaf71(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf71(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf71(X2)),skaf82(skaf71(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136078,c_259,c_260]) ).
tcf(c_136226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf71(X1)),X2)),skaf71(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf71(X1)),X2)),cons(skaf83(skaf71(X1)),skaf82(skaf71(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136090,c_259,c_260]) ).
tcf(c_136232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf71(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf71(X1)),cons(skaf83(skaf71(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf71(X1)),skaf82(skaf71(X1)))),cons(skaf83(skaf71(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136052,c_259,c_260]) ).
tcf(c_136238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf71(X3)))
| ( skaf71(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf71(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf71(X3)),skaf82(skaf71(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136089,c_259,c_260]) ).
tcf(c_136246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf71(X3)))
| ( skaf71(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf71(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf71(X3)),skaf82(skaf71(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136088,c_259,c_260]) ).
tcf(c_136254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf71(X1)),X2)
| ( skaf71(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf71(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf71(X1)),skaf82(skaf71(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136051,c_259,c_260]) ).
tcf(c_136262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf71(X1)),X2)
| ( skaf71(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf71(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf71(X1)),skaf82(skaf71(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136050,c_259,c_260]) ).
tcf(c_136270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf71(X3)))
| lt(skaf83(skaf71(X3)),X1)
| ( skaf71(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf71(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf71(X3)),skaf82(skaf71(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136087,c_259,c_260]) ).
tcf(c_136279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf71(X3)))
| leq(skaf83(skaf71(X3)),X1)
| ( skaf71(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf71(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf71(X3)),skaf82(skaf71(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136086,c_259,c_260]) ).
tcf(c_136288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf71(X1)))
| lt(skaf83(skaf71(X1)),X2)
| ( skaf71(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf71(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf71(X1)),skaf82(skaf71(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136049,c_259,c_260]) ).
tcf(c_136297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf71(X1)))
| leq(skaf83(skaf71(X1)),X2)
| ( skaf71(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf71(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf71(X1)),skaf82(skaf71(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136048,c_259,c_260]) ).
tcf(c_136306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf71(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf71(X3)))
| ~ leq(skaf83(skaf71(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf71(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf71(X3)),skaf82(skaf71(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136085,c_259,c_260]) ).
tcf(c_136315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf71(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf71(X1)))
| ~ leq(skaf83(skaf71(X1)),X2)
| ~ ssList(app(app(X0,skaf71(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf71(X1)),skaf82(skaf71(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136047,c_259,c_260]) ).
tcf(c_136416,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,app(iPr_def_12,skaf43(X0,X1))))
| ( app(iPr_def_12,skaf43(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf43(X0,X1)))
| ~ ssList(app(iPr_def_12,skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_124182,c_407]) ).
tcf(c_136417,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,app(iPr_def_12,skaf43(X0,X1))))
| ( app(iPr_def_12,skaf43(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf43(X0,X1)))
| ~ ssList(app(iPr_def_12,skaf43(X0,X1))) ),
inference(superposition,[status(thm)],[c_124182,c_406]) ).
tcf(c_136433,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(cons(X2,app(iPr_def_12,skaf42(X0,X1))))
| ( app(iPr_def_12,skaf42(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ lt(X2,sk5)
| ~ strictorderedP(app(iPr_def_12,skaf42(X0,X1)))
| ~ ssList(app(iPr_def_12,skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_124183,c_407]) ).
tcf(c_136434,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(cons(X2,app(iPr_def_12,skaf42(X0,X1))))
| ( app(iPr_def_12,skaf42(X0,X1)) = nil )
| ~ ssItem(X2)
| ~ leq(X2,sk5)
| ~ totalorderedP(app(iPr_def_12,skaf42(X0,X1)))
| ~ ssList(app(iPr_def_12,skaf42(X0,X1))) ),
inference(superposition,[status(thm)],[c_124183,c_406]) ).
tcf(c_136459,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac2,cons(sk6,sk4))))
| ( cons(skac2,cons(sk6,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac2)
| ~ strictorderedP(cons(skac2,cons(sk6,sk4)))
| ~ ssList(cons(skac2,cons(sk6,sk4))) ),
inference(superposition,[status(thm)],[c_85696,c_407]) ).
tcf(c_136460,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac2,cons(sk6,sk4))))
| ( cons(skac2,cons(sk6,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac2)
| ~ totalorderedP(cons(skac2,cons(sk6,sk4)))
| ~ ssList(cons(skac2,cons(sk6,sk4))) ),
inference(superposition,[status(thm)],[c_85696,c_406]) ).
tcf(c_136476,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac2,cons(sk6,sk7))))
| ( cons(skac2,cons(sk6,sk7)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac2)
| ~ strictorderedP(cons(skac2,cons(sk6,sk7)))
| ~ ssList(cons(skac2,cons(sk6,sk7))) ),
inference(superposition,[status(thm)],[c_85697,c_407]) ).
tcf(c_136477,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac2,cons(sk6,sk7))))
| ( cons(skac2,cons(sk6,sk7)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac2)
| ~ totalorderedP(cons(skac2,cons(sk6,sk7)))
| ~ ssList(cons(skac2,cons(sk6,sk7))) ),
inference(superposition,[status(thm)],[c_85697,c_406]) ).
tcf(c_136493,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac2,cons(sk6,sk8))))
| ( cons(skac2,cons(sk6,sk8)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac2)
| ~ strictorderedP(cons(skac2,cons(sk6,sk8)))
| ~ ssList(cons(skac2,cons(sk6,sk8))) ),
inference(superposition,[status(thm)],[c_85698,c_407]) ).
tcf(c_136494,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac2,cons(sk6,sk8))))
| ( cons(skac2,cons(sk6,sk8)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac2)
| ~ totalorderedP(cons(skac2,cons(sk6,sk8)))
| ~ ssList(cons(skac2,cons(sk6,sk8))) ),
inference(superposition,[status(thm)],[c_85698,c_406]) ).
tcf(c_136510,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac2,app(sk4,sk4))))
| ( cons(skac2,app(sk4,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac2)
| ~ strictorderedP(cons(skac2,app(sk4,sk4)))
| ~ ssList(cons(skac2,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_85699,c_407]) ).
tcf(c_136511,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac2,app(sk4,sk4))))
| ( cons(skac2,app(sk4,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac2)
| ~ totalorderedP(cons(skac2,app(sk4,sk4)))
| ~ ssList(cons(skac2,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_85699,c_406]) ).
tcf(c_136533,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X1)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(X0,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134163,c_399]) ).
tcf(c_136534,plain,
! [X0: $i] :
( ( app(app(skaf47(cons(sk6,app(sk7,sk7)),X0),X0),skaf48(X0,cons(sk6,app(sk7,sk7)))) = cons(sk6,app(sk7,sk7)) )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134163,c_415]) ).
tcf(c_136535,plain,
! [X0: $i] :
( ( cons(sk6,app(sk7,sk7)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(X0,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134163,c_374]) ).
tcf(c_136537,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk8)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134163,c_28549]) ).
tcf(c_136538,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk7)
| ~ ssList(iPr_def_16)
| ~ segmentP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134163,c_27097]) ).
tcf(c_136539,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk7,iPr_def_15)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134163,c_27109]) ).
tcf(c_136540,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134163,c_122398]) ).
tcf(c_136541,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_134163,c_120940]) ).
tcf(c_136542,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_134163,c_117138]) ).
tcf(c_136543,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134163,c_69805]) ).
tcf(c_136545,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk8)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_134163,c_70505]) ).
tcf(c_136546,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134163,c_77949]) ).
tcf(c_136547,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_134163,c_131101]) ).
tcf(c_136548,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk7)
| ~ segmentP(sk7,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136539,c_24748,c_134161]) ).
tcf(c_136551,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk7)
| ~ segmentP(sk7,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136538,c_9020,c_134161]) ).
tcf(c_136554,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk8)
| ~ segmentP(sk7,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136537,c_9020,c_134161]) ).
tcf(c_136557,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X1)
| ~ segmentP(X0,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136533,c_134161]) ).
tcf(c_136563,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk4)
| ~ segmentP(sk7,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136547,c_134161,c_124771]) ).
tcf(c_136566,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk4)
| ~ segmentP(sk7,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136546,c_134161,c_66447]) ).
tcf(c_136569,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk8)
| ~ segmentP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136545,c_68959,c_134161]) ).
tcf(c_136572,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk4)
| ~ segmentP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136543,c_134161,c_68222]) ).
tcf(c_136575,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk7)
| ~ segmentP(sk7,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136542,c_89535,c_134161]) ).
tcf(c_136578,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk7)
| ~ segmentP(sk7,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136541,c_89538,c_134161]) ).
tcf(c_136581,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk7)
| ~ segmentP(sk7,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136540,c_89541,c_134161]) ).
tcf(c_136584,plain,
! [X0: $i] :
( ( cons(sk6,app(sk7,sk7)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ segmentP(X0,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136535,c_134161]) ).
tcf(c_136589,plain,
! [X0: $i] :
( ( app(app(skaf47(cons(sk6,app(sk7,sk7)),X0),X0),skaf48(X0,cons(sk6,app(sk7,sk7)))) = cons(sk6,app(sk7,sk7)) )
| ~ ssList(X0)
| ~ segmentP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136534,c_134161]) ).
tcf(c_136647,plain,
segmentP(cons(sk6,app(sk7,sk7)),sk7),
inference(global_subsumption_just,[status(thm)],[c_134168,c_134161,c_134168]) ).
tcf(c_136649,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(X0,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_136647,c_399]) ).
tcf(c_136650,plain,
( ( app(app(skaf47(cons(sk6,app(sk7,sk7)),sk7),sk7),skaf48(sk7,cons(sk6,app(sk7,sk7)))) = cons(sk6,app(sk7,sk7)) )
| ~ ssList(sk7)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_136647,c_415]) ).
tcf(c_136651,plain,
( ( cons(sk6,app(sk7,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_136647,c_374]) ).
tcf(c_136652,plain,
! [X0: $i] :
( segmentP(X0,sk7)
| ~ ssList(X0)
| ~ segmentP(X0,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136649,c_6483,c_134161]) ).
tcf(c_136656,plain,
( ( cons(sk6,app(sk7,sk7)) = sk7 )
| ~ segmentP(sk7,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136651,c_6483,c_134161]) ).
tcf(c_136659,plain,
app(app(skaf47(cons(sk6,app(sk7,sk7)),sk7),sk7),skaf48(sk7,cons(sk6,app(sk7,sk7)))) = cons(sk6,app(sk7,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_136650,c_6483,c_134161]) ).
tcf(c_136667,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(X0,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134179,c_400]) ).
tcf(c_136668,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk6,app(sk7,sk7)),X0),X0) = cons(sk6,app(sk7,sk7)) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134179,c_378]) ).
tcf(c_136669,plain,
! [X0: $i] :
( ( cons(sk6,app(sk7,sk7)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(X0,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134179,c_375]) ).
tcf(c_136670,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134179,c_15170]) ).
tcf(c_136672,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ rearsegP(sk7,cons(sk6,sk4))
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134179,c_69708]) ).
tcf(c_136673,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134179,c_81078]) ).
tcf(c_136675,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_134179,c_81049]) ).
tcf(c_136676,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134179,c_92762]) ).
tcf(c_136678,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_134179,c_91539]) ).
tcf(c_136679,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134179,c_115593]) ).
tcf(c_136681,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_134179,c_115569]) ).
tcf(c_136682,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk7,cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134179,c_108941]) ).
tcf(c_136683,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk7,cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134179,c_66649]) ).
tcf(c_136684,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_134179,c_129350]) ).
tcf(c_136685,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134179,c_68485]) ).
tcf(c_136686,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_134179,c_68796]) ).
tcf(c_136687,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_134179,c_69620]) ).
tcf(c_136691,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ rearsegP(sk7,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136670,c_9020,c_134161]) ).
tcf(c_136694,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136683,c_66402,c_134161]) ).
tcf(c_136697,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ rearsegP(X0,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136667,c_134161]) ).
tcf(c_136703,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136687,c_68959,c_134161]) ).
tcf(c_136706,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136686,c_134161,c_68529]) ).
tcf(c_136709,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136685,c_134161,c_68222]) ).
tcf(c_136712,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136684,c_134161,c_127367]) ).
tcf(c_136715,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136682,c_66402,c_134161]) ).
tcf(c_136719,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ rearsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136681,c_112795,c_134161]) ).
tcf(c_136722,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ rearsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136679,c_112801,c_134161]) ).
tcf(c_136725,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ rearsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136678,c_89535,c_134161]) ).
tcf(c_136728,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ rearsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136676,c_89541,c_134161]) ).
tcf(c_136731,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ rearsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136675,c_79220,c_134161]) ).
tcf(c_136734,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ rearsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136673,c_79226,c_134161]) ).
tcf(c_136737,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk7,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136672,c_28942,c_134161]) ).
tcf(c_136741,plain,
! [X0: $i] :
( ( cons(sk6,app(sk7,sk7)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ rearsegP(X0,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136669,c_134161]) ).
tcf(c_136746,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk6,app(sk7,sk7)),X0),X0) = cons(sk6,app(sk7,sk7)) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136668,c_134161]) ).
tcf(c_136758,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk7,sk7)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk7,sk7))))) = cons(sk6,app(sk7,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134183,c_416]) ).
tcf(c_136759,plain,
! [X0: $i] :
( memberP(app(sk7,sk7),X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(superposition,[status(thm)],[c_134183,c_408]) ).
tcf(c_136760,plain,
! [X0: $i] :
( memberP(app(sk7,sk7),X0)
| ( X0 = sk6 )
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk7,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136759,c_6484]) ).
tcf(c_136766,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk7,sk7)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk7,sk7))))) = cons(sk6,app(sk7,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136758,c_134161]) ).
tcf(c_136779,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(X0,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_383,c_134640]) ).
tcf(c_136780,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,app(sk7,sk7))),sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(app(X0,cons(sk6,app(sk7,sk7)))) ),
inference(superposition,[status(thm)],[c_807,c_134640]) ).
tcf(c_136781,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_83159,c_134640]) ).
tcf(c_136783,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_81233,c_134640]) ).
tcf(c_136784,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_107723,c_134640]) ).
tcf(c_136786,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_93147,c_134640]) ).
tcf(c_136787,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_120412,c_134640]) ).
tcf(c_136789,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_117779,c_134640]) ).
tcf(c_136790,plain,
( rearsegP(cons(sk5,sk4),sk7)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_66416,c_134640]) ).
tcf(c_136791,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_68240,c_134640]) ).
tcf(c_136792,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_68547,c_134640]) ).
tcf(c_136793,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_68977,c_134640]) ).
tcf(c_136798,plain,
( rearsegP(cons(sk5,sk4),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136790,c_66402,c_134161]) ).
tcf(c_136801,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,app(sk7,sk7))),sk7)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sk6,app(sk7,sk7)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136780,c_134161]) ).
tcf(c_136805,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136793,c_68959,c_134161]) ).
tcf(c_136808,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136792,c_134161,c_68529]) ).
tcf(c_136811,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136791,c_134161,c_68222]) ).
tcf(c_136814,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136789,c_112795,c_134161]) ).
tcf(c_136817,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136787,c_112801,c_134161]) ).
tcf(c_136820,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136786,c_89535,c_134161]) ).
tcf(c_136823,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136784,c_89541,c_134161]) ).
tcf(c_136826,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136783,c_79220,c_134161]) ).
tcf(c_136829,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136781,c_79226,c_134161]) ).
tcf(c_136832,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136779,c_134161]) ).
tcf(c_136898,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X1)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(X0,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134698,c_399]) ).
tcf(c_136899,plain,
! [X0: $i] :
( ( app(app(skaf47(cons(sk6,app(sk8,sk7)),X0),X0),skaf48(X0,cons(sk6,app(sk8,sk7)))) = cons(sk6,app(sk8,sk7)) )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134698,c_415]) ).
tcf(c_136900,plain,
! [X0: $i] :
( ( cons(sk6,app(sk8,sk7)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(X0,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134698,c_374]) ).
tcf(c_136901,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk7)
| ~ ssList(iPr_def_13)
| ~ segmentP(sk8,iPr_def_13)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134698,c_27069]) ).
tcf(c_136904,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ segmentP(sk8,iPr_def_15)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134698,c_27109]) ).
tcf(c_136905,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134698,c_122398]) ).
tcf(c_136906,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_134698,c_120940]) ).
tcf(c_136907,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_134698,c_117138]) ).
tcf(c_136908,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134698,c_69805]) ).
tcf(c_136909,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk7)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_134698,c_69982]) ).
tcf(c_136911,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134698,c_77949]) ).
tcf(c_136912,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_134698,c_131101]) ).
tcf(c_136913,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk7)
| ~ segmentP(sk8,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136904,c_24748,c_134696]) ).
tcf(c_136916,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk7)
| ~ segmentP(sk8,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136901,c_9527,c_134696]) ).
tcf(c_136919,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X1)
| ~ segmentP(X0,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136898,c_134696]) ).
tcf(c_136925,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk4)
| ~ segmentP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136912,c_134696,c_124771]) ).
tcf(c_136928,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk4)
| ~ segmentP(sk8,cons(sk5,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136911,c_134696,c_66447]) ).
tcf(c_136931,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk7)
| ~ segmentP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136909,c_134696,c_68529]) ).
tcf(c_136934,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk4)
| ~ segmentP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136908,c_134696,c_68222]) ).
tcf(c_136937,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk7)
| ~ segmentP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136907,c_89535,c_134696]) ).
tcf(c_136940,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk7)
| ~ segmentP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136906,c_89538,c_134696]) ).
tcf(c_136943,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk7)
| ~ segmentP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136905,c_89541,c_134696]) ).
tcf(c_136946,plain,
! [X0: $i] :
( ( cons(sk6,app(sk8,sk7)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ segmentP(X0,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136900,c_134696]) ).
tcf(c_136951,plain,
! [X0: $i] :
( ( app(app(skaf47(cons(sk6,app(sk8,sk7)),X0),X0),skaf48(X0,cons(sk6,app(sk8,sk7)))) = cons(sk6,app(sk8,sk7)) )
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136899,c_134696]) ).
tcf(c_136957,plain,
segmentP(cons(sk6,app(sk8,sk7)),sk8),
inference(global_subsumption_just,[status(thm)],[c_134703,c_134696,c_134703]) ).
tcf(c_136959,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(X0,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_136957,c_399]) ).
tcf(c_136960,plain,
( ( app(app(skaf47(cons(sk6,app(sk8,sk7)),sk8),sk8),skaf48(sk8,cons(sk6,app(sk8,sk7)))) = cons(sk6,app(sk8,sk7)) )
| ~ ssList(sk8)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_136957,c_415]) ).
tcf(c_136961,plain,
( ( cons(sk6,app(sk8,sk7)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_136957,c_374]) ).
tcf(c_136962,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(X0)
| ~ segmentP(X0,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136959,c_6482,c_134696]) ).
tcf(c_136966,plain,
( ( cons(sk6,app(sk8,sk7)) = sk8 )
| ~ segmentP(sk8,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136961,c_6482,c_134696]) ).
tcf(c_136969,plain,
app(app(skaf47(cons(sk6,app(sk8,sk7)),sk8),sk8),skaf48(sk8,cons(sk6,app(sk8,sk7)))) = cons(sk6,app(sk8,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_136960,c_6482,c_134696]) ).
tcf(c_136977,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(X0,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134714,c_400]) ).
tcf(c_136978,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk6,app(sk8,sk7)),X0),X0) = cons(sk6,app(sk8,sk7)) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134714,c_378]) ).
tcf(c_136979,plain,
! [X0: $i] :
( ( cons(sk6,app(sk8,sk7)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(X0,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134714,c_375]) ).
tcf(c_136980,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134714,c_15170]) ).
tcf(c_136982,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ rearsegP(sk7,cons(sk6,sk4))
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134714,c_69708]) ).
tcf(c_136983,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134714,c_81078]) ).
tcf(c_136985,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_134714,c_81049]) ).
tcf(c_136986,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134714,c_92762]) ).
tcf(c_136988,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_134714,c_91539]) ).
tcf(c_136989,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134714,c_115593]) ).
tcf(c_136991,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_134714,c_115569]) ).
tcf(c_136992,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk7,cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134714,c_108941]) ).
tcf(c_136993,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk7,cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134714,c_66649]) ).
tcf(c_136994,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_134714,c_129350]) ).
tcf(c_136995,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134714,c_68485]) ).
tcf(c_136996,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_134714,c_68796]) ).
tcf(c_136997,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_134714,c_69620]) ).
tcf(c_137002,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ rearsegP(sk7,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136980,c_9020,c_134696]) ).
tcf(c_137005,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136993,c_66402,c_134696]) ).
tcf(c_137008,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk7,X1)
| ~ rearsegP(X0,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136977,c_134696]) ).
tcf(c_137014,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136997,c_134696,c_68959]) ).
tcf(c_137017,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136996,c_134696,c_68529]) ).
tcf(c_137020,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136995,c_134696,c_68222]) ).
tcf(c_137023,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ rearsegP(sk7,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136994,c_134696,c_127367]) ).
tcf(c_137026,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk7,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136992,c_66402,c_134696]) ).
tcf(c_137030,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ rearsegP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136991,c_112795,c_134696]) ).
tcf(c_137033,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ rearsegP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136989,c_112801,c_134696]) ).
tcf(c_137036,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ rearsegP(sk7,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136988,c_89535,c_134696]) ).
tcf(c_137039,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ rearsegP(sk7,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136986,c_89541,c_134696]) ).
tcf(c_137042,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ rearsegP(sk7,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136985,c_79220,c_134696]) ).
tcf(c_137045,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ rearsegP(sk7,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136983,c_79226,c_134696]) ).
tcf(c_137048,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ rearsegP(sk4,iPr_def_16)
| ~ rearsegP(sk7,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136982,c_28942,c_134696]) ).
tcf(c_137052,plain,
! [X0: $i] :
( ( cons(sk6,app(sk8,sk7)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ rearsegP(X0,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136979,c_134696]) ).
tcf(c_137057,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk6,app(sk8,sk7)),X0),X0) = cons(sk6,app(sk8,sk7)) )
| ~ ssList(X0)
| ~ rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136978,c_134696]) ).
tcf(c_137119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf68(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf68(X1)))
| ~ ssList(skaf82(skaf68(X1)))
| ~ leq(X2,skaf83(skaf68(X1)))
| ~ leq(skaf83(skaf68(X1)),X2)
| ~ ssList(app(app(X0,skaf68(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf68(X1)),skaf82(skaf68(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10995,c_432]) ).
tcf(c_137120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf68(X1)))
| leq(skaf83(skaf68(X1)),X2)
| ( skaf68(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf68(X1)))
| ~ ssList(skaf82(skaf68(X1)))
| ~ ssList(app(app(X0,skaf68(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf68(X1)),skaf82(skaf68(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10995,c_431]) ).
tcf(c_137121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf68(X1)))
| lt(skaf83(skaf68(X1)),X2)
| ( skaf68(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf68(X1)))
| ~ ssList(skaf82(skaf68(X1)))
| ~ ssList(app(app(X0,skaf68(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf68(X1)),skaf82(skaf68(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10995,c_430]) ).
tcf(c_137122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf68(X1)),X2)
| ( skaf68(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf68(X1)))
| ~ ssList(skaf82(skaf68(X1)))
| ~ ssList(app(app(X0,skaf68(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf68(X1)),skaf82(skaf68(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10995,c_429]) ).
tcf(c_137123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf68(X1)),X2)
| ( skaf68(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf68(X1)))
| ~ ssList(skaf82(skaf68(X1)))
| ~ ssList(app(app(X0,skaf68(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf68(X1)),skaf82(skaf68(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10995,c_428]) ).
tcf(c_137124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf68(X1)))
| ~ ssList(skaf82(skaf68(X1)))
| ~ ssList(app(app(X0,skaf68(X1)),cons(skaf83(skaf68(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf68(X1)),skaf82(skaf68(X1)))),cons(skaf83(skaf68(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10995,c_426]) ).
tcf(c_137125,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf68(X1)),skaf83(skaf68(X1)))
| ( skaf68(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf68(X1)))
| ~ ssList(skaf82(skaf68(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf68(X1)),skaf82(skaf68(X1))))) ),
inference(superposition,[status(thm)],[c_10995,c_422]) ).
tcf(c_137126,plain,
! [X0: $i] :
( memberP(skaf68(X0),skaf83(skaf68(X0)))
| ( skaf68(X0) = nil )
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10995,c_385]) ).
tcf(c_137128,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( skaf82(skaf68(X0)) = nil )
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0)))
| ( skaf68(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10995,c_21847]) ).
tcf(c_137129,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( skaf82(skaf68(X0)) = nil )
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0)))
| ( skaf68(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10995,c_21842]) ).
tcf(c_137130,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( skaf83(skaf68(X0)) = sk5 )
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0)))
| ( skaf68(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10995,c_21750]) ).
tcf(c_137131,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( skaf83(skaf68(X0)) = sk6 )
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0)))
| ( skaf68(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10995,c_21745]) ).
tcf(c_137132,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( skaf83(skaf68(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf68(X0))
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10995,c_21595]) ).
tcf(c_137133,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( skaf83(skaf68(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf68(X0))
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10995,c_21590]) ).
tcf(c_137134,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( skaf83(skaf68(X0)) = sk5 )
| ~ frontsegP(skaf68(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10995,c_21585]) ).
tcf(c_137135,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( skaf83(skaf68(X0)) = sk6 )
| ~ frontsegP(skaf68(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10995,c_21580]) ).
tcf(c_137136,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf68(X0)))
| ( skaf68(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf68(X0))
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10995,c_21202]) ).
tcf(c_137137,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf68(X0)))
| ( skaf68(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf68(X0))
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10995,c_21197]) ).
tcf(c_137140,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X0) = nil )
| ( skaf83(skaf68(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0)))
| ~ frontsegP(skaf68(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10995,c_423]) ).
tcf(c_137141,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf68(X0)),X2)
| ( skaf68(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0)))
| ~ frontsegP(skaf68(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10995,c_421]) ).
tcf(c_137142,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf68(X0)),X1)
| ( skaf68(X0) = nil )
| ( skaf83(skaf68(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0)))
| ~ memberP(skaf68(X0),X1) ),
inference(superposition,[status(thm)],[c_10995,c_408]) ).
tcf(c_137143,plain,
! [X0: $i] :
( leq(skaf83(skaf68(X0)),hd(skaf82(skaf68(X0))))
| ( skaf68(X0) = nil )
| ( skaf82(skaf68(X0)) = nil )
| ~ totalorderedP(skaf68(X0))
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10995,c_382]) ).
tcf(c_137144,plain,
! [X0: $i] :
( lt(skaf83(skaf68(X0)),hd(skaf82(skaf68(X0))))
| ( skaf68(X0) = nil )
| ( skaf82(skaf68(X0)) = nil )
| ~ strictorderedP(skaf68(X0))
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10995,c_381]) ).
tcf(c_137145,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf68(X0)))
| ( skaf68(X0) = nil )
| ( skaf82(skaf68(X0)) = nil )
| ~ totalorderedP(skaf68(X0))
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10995,c_372]) ).
tcf(c_137146,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf68(X0)))
| ( skaf68(X0) = nil )
| ( skaf82(skaf68(X0)) = nil )
| ~ strictorderedP(skaf68(X0))
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0))) ),
inference(superposition,[status(thm)],[c_10995,c_371]) ).
tcf(c_137147,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0)))
| ( skaf82(skaf68(X0)) != skaf68(X0) ) ),
inference(superposition,[status(thm)],[c_10995,c_346]) ).
tcf(c_137149,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf68(X1)),X0),skaf68(X1))
| ( skaf68(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf68(X1)))
| ~ ssList(skaf82(skaf68(X1)))
| ~ frontsegP(X0,skaf82(skaf68(X1))) ),
inference(superposition,[status(thm)],[c_10995,c_425]) ).
tcf(c_137150,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X2) = nil )
| ( skaf83(skaf68(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf68(X2)))
| ~ ssList(skaf82(skaf68(X2)))
| ~ ssList(app(X0,cons(X1,skaf68(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf68(X2)),skaf82(skaf68(X2)))))) ),
inference(superposition,[status(thm)],[c_10995,c_427]) ).
tcf(c_137151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X2) = nil )
| ( skaf82(skaf68(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf68(X2)))
| ~ ssList(skaf82(skaf68(X2)))
| ( cons(X0,X1) != skaf68(X2) ) ),
inference(superposition,[status(thm)],[c_10995,c_418]) ).
tcf(c_137152,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X2) = nil )
| ( skaf83(skaf68(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf68(X2)))
| ~ ssList(skaf82(skaf68(X2)))
| ( cons(X0,X1) != skaf68(X2) ) ),
inference(superposition,[status(thm)],[c_10995,c_417]) ).
tcf(c_137153,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X2) = nil )
| ( skaf83(skaf68(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf68(X2)))
| ~ ssList(skaf82(skaf68(X2)))
| ~ frontsegP(cons(X0,X1),skaf68(X2)) ),
inference(superposition,[status(thm)],[c_10995,c_423]) ).
tcf(c_137154,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf68(X2)))
| ( skaf68(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf68(X2)))
| ~ ssList(skaf82(skaf68(X2)))
| ~ frontsegP(cons(X0,X1),skaf68(X2)) ),
inference(superposition,[status(thm)],[c_10995,c_421]) ).
tcf(c_137155,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf68(X0),cons(skaf83(skaf68(X0)),X1))
| ( skaf68(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0)))
| ~ frontsegP(skaf82(skaf68(X0)),X1) ),
inference(superposition,[status(thm)],[c_10995,c_425]) ).
tcf(c_137156,plain,
! [X0: $i,X1: $i] :
( memberP(skaf68(X0),X1)
| ( skaf68(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf68(X0)))
| ~ ssList(skaf82(skaf68(X0)))
| ~ memberP(skaf82(skaf68(X0)),X1) ),
inference(superposition,[status(thm)],[c_10995,c_386]) ).
tcf(c_137157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf68(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf68(X3)))
| ~ ssList(skaf82(skaf68(X3)))
| ~ leq(X1,skaf83(skaf68(X3)))
| ~ leq(skaf83(skaf68(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf68(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf68(X3)),skaf82(skaf68(X3))))) ),
inference(superposition,[status(thm)],[c_10995,c_432]) ).
tcf(c_137158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf68(X3)))
| leq(skaf83(skaf68(X3)),X1)
| ( skaf68(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf68(X3)))
| ~ ssList(skaf82(skaf68(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf68(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf68(X3)),skaf82(skaf68(X3))))) ),
inference(superposition,[status(thm)],[c_10995,c_431]) ).
tcf(c_137159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf68(X3)))
| lt(skaf83(skaf68(X3)),X1)
| ( skaf68(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf68(X3)))
| ~ ssList(skaf82(skaf68(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf68(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf68(X3)),skaf82(skaf68(X3))))) ),
inference(superposition,[status(thm)],[c_10995,c_430]) ).
tcf(c_137160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf68(X3)))
| ( skaf68(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf68(X3)))
| ~ ssList(skaf82(skaf68(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf68(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf68(X3)),skaf82(skaf68(X3))))) ),
inference(superposition,[status(thm)],[c_10995,c_429]) ).
tcf(c_137161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf68(X3)))
| ( skaf68(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf68(X3)))
| ~ ssList(skaf82(skaf68(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf68(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf68(X3)),skaf82(skaf68(X3))))) ),
inference(superposition,[status(thm)],[c_10995,c_428]) ).
tcf(c_137162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf68(X1)))
| ~ ssList(skaf82(skaf68(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf68(X1)),X2)),skaf68(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf68(X1)),X2)),cons(skaf83(skaf68(X1)),skaf82(skaf68(X1))))) ),
inference(superposition,[status(thm)],[c_10995,c_426]) ).
tcf(c_137163,plain,
! [X0: $i] :
( memberP(skaf68(X0),skaf83(skaf68(X0)))
| ( skaf68(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137126,c_259,c_260]) ).
tcf(c_137166,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( skaf82(skaf68(X0)) != skaf68(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137147,c_259,c_260]) ).
tcf(c_137169,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf68(X0)))
| ( skaf68(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf68(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137137,c_259,c_260]) ).
tcf(c_137173,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf68(X0)))
| ( skaf68(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf68(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137136,c_259,c_260]) ).
tcf(c_137177,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( skaf83(skaf68(X0)) = sk6 )
| ~ frontsegP(skaf68(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137135,c_259,c_260]) ).
tcf(c_137181,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( skaf83(skaf68(X0)) = sk5 )
| ~ frontsegP(skaf68(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137134,c_259,c_260]) ).
tcf(c_137185,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( skaf83(skaf68(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf68(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137133,c_259,c_260]) ).
tcf(c_137189,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( skaf83(skaf68(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf68(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137132,c_259,c_260]) ).
tcf(c_137193,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( skaf83(skaf68(X0)) = sk6 )
| ( skaf68(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137131,c_259,c_260]) ).
tcf(c_137197,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( skaf83(skaf68(X0)) = sk5 )
| ( skaf68(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137130,c_259,c_260]) ).
tcf(c_137201,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( skaf82(skaf68(X0)) = nil )
| ( skaf68(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137129,c_259,c_260]) ).
tcf(c_137205,plain,
! [X0: $i] :
( ( skaf68(X0) = nil )
| ( skaf82(skaf68(X0)) = nil )
| ( skaf68(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137128,c_259,c_260]) ).
tcf(c_137209,plain,
! [X0: $i,X1: $i] :
( memberP(skaf68(X0),X1)
| ( skaf68(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf68(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137156,c_259,c_260]) ).
tcf(c_137214,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf68(X0)))
| ( skaf68(X0) = nil )
| ( skaf82(skaf68(X0)) = nil )
| ~ strictorderedP(skaf68(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137146,c_259,c_260]) ).
tcf(c_137219,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf68(X0)))
| ( skaf68(X0) = nil )
| ( skaf82(skaf68(X0)) = nil )
| ~ totalorderedP(skaf68(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137145,c_259,c_260]) ).
tcf(c_137224,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf68(X0),cons(skaf83(skaf68(X0)),X1))
| ( skaf68(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf68(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137155,c_259,c_260]) ).
tcf(c_137229,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf68(X1)),X0),skaf68(X1))
| ( skaf68(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf68(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137149,c_259,c_260]) ).
tcf(c_137234,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf68(X2)))
| ( skaf68(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf68(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137154,c_259,c_260]) ).
tcf(c_137240,plain,
! [X0: $i] :
( lt(skaf83(skaf68(X0)),hd(skaf82(skaf68(X0))))
| ( skaf68(X0) = nil )
| ( skaf82(skaf68(X0)) = nil )
| ~ strictorderedP(skaf68(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137144,c_259,c_260]) ).
tcf(c_137245,plain,
! [X0: $i] :
( leq(skaf83(skaf68(X0)),hd(skaf82(skaf68(X0))))
| ( skaf68(X0) = nil )
| ( skaf82(skaf68(X0)) = nil )
| ~ totalorderedP(skaf68(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137143,c_259,c_260]) ).
tcf(c_137250,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf68(X0)),X2)
| ( skaf68(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf68(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137141,c_259,c_260]) ).
tcf(c_137256,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X2) = nil )
| ( skaf83(skaf68(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf68(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137153,c_259,c_260]) ).
tcf(c_137262,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf68(X0)),X1)
| ( skaf68(X0) = nil )
| ( skaf83(skaf68(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf68(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137142,c_259,c_260]) ).
tcf(c_137268,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X0) = nil )
| ( skaf83(skaf68(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf68(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137140,c_259,c_260]) ).
tcf(c_137274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X2) = nil )
| ( skaf83(skaf68(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf68(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137152,c_259,c_260]) ).
tcf(c_137280,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X2) = nil )
| ( skaf82(skaf68(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf68(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137151,c_259,c_260]) ).
tcf(c_137286,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf68(X1)),skaf83(skaf68(X1)))
| ( skaf68(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf68(X1)),skaf82(skaf68(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137125,c_259,c_260]) ).
tcf(c_137291,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X2) = nil )
| ( skaf83(skaf68(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf68(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf68(X2)),skaf82(skaf68(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137150,c_259,c_260]) ).
tcf(c_137298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf68(X1)),X2)),skaf68(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf68(X1)),X2)),cons(skaf83(skaf68(X1)),skaf82(skaf68(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137162,c_259,c_260]) ).
tcf(c_137304,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf68(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf68(X1)),cons(skaf83(skaf68(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf68(X1)),skaf82(skaf68(X1)))),cons(skaf83(skaf68(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137124,c_259,c_260]) ).
tcf(c_137310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf68(X3)))
| ( skaf68(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf68(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf68(X3)),skaf82(skaf68(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137161,c_259,c_260]) ).
tcf(c_137318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf68(X3)))
| ( skaf68(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf68(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf68(X3)),skaf82(skaf68(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137160,c_259,c_260]) ).
tcf(c_137326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf68(X1)),X2)
| ( skaf68(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf68(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf68(X1)),skaf82(skaf68(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137123,c_259,c_260]) ).
tcf(c_137334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf68(X1)),X2)
| ( skaf68(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf68(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf68(X1)),skaf82(skaf68(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137122,c_259,c_260]) ).
tcf(c_137342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf68(X3)))
| lt(skaf83(skaf68(X3)),X1)
| ( skaf68(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf68(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf68(X3)),skaf82(skaf68(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137159,c_259,c_260]) ).
tcf(c_137351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf68(X3)))
| leq(skaf83(skaf68(X3)),X1)
| ( skaf68(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf68(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf68(X3)),skaf82(skaf68(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137158,c_259,c_260]) ).
tcf(c_137360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf68(X1)))
| lt(skaf83(skaf68(X1)),X2)
| ( skaf68(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf68(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf68(X1)),skaf82(skaf68(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137121,c_259,c_260]) ).
tcf(c_137369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf68(X1)))
| leq(skaf83(skaf68(X1)),X2)
| ( skaf68(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf68(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf68(X1)),skaf82(skaf68(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137120,c_259,c_260]) ).
tcf(c_137378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf68(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf68(X3)))
| ~ leq(skaf83(skaf68(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf68(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf68(X3)),skaf82(skaf68(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137157,c_259,c_260]) ).
tcf(c_137387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf68(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf68(X1)))
| ~ leq(skaf83(skaf68(X1)),X2)
| ~ ssList(app(app(X0,skaf68(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf68(X1)),skaf82(skaf68(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137119,c_259,c_260]) ).
tcf(c_137582,plain,
cons(sk6,iPr_def_16) = app(iPr_def_14,iPr_def_16),
inference(light_normalisation,[status(thm)],[c_12392,c_28897,c_32529]) ).
tcf(c_137585,plain,
( ssList(cons(sk6,iPr_def_16))
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_137582,c_332]) ).
tcf(c_137586,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,iPr_def_16),X0),iPr_def_16)
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_14,iPr_def_16),X0)) ),
inference(superposition,[status(thm)],[c_137582,c_420]) ).
tcf(c_137587,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ( app(X0,iPr_def_16) != cons(sk6,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_137582,c_398]) ).
tcf(c_137589,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| memberP(iPr_def_14,X0)
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_14)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,iPr_def_16),X0) ),
inference(superposition,[status(thm)],[c_137582,c_405]) ).
tcf(c_137591,plain,
( ( nil = iPr_def_14 )
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_14)
| ( cons(sk6,iPr_def_16) != nil ) ),
inference(superposition,[status(thm)],[c_137582,c_365]) ).
tcf(c_137592,plain,
( frontsegP(cons(sk6,iPr_def_16),iPr_def_14)
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_137582,c_808]) ).
tcf(c_137593,plain,
( rearsegP(cons(sk6,iPr_def_16),iPr_def_16)
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_137582,c_807]) ).
tcf(c_137594,plain,
! [X0: $i] :
( memberP(cons(sk6,iPr_def_16),X0)
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_14)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_137582,c_388]) ).
tcf(c_137595,plain,
! [X0: $i] :
( rearsegP(cons(sk6,iPr_def_16),X0)
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_137582,c_383]) ).
tcf(c_137596,plain,
! [X0: $i] :
( ( X0 = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ( app(iPr_def_14,X0) != cons(sk6,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_137582,c_397]) ).
tcf(c_137597,plain,
! [X0: $i] :
( memberP(cons(sk6,iPr_def_16),X0)
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_14)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_137582,c_387]) ).
tcf(c_137598,plain,
! [X0: $i] :
( frontsegP(cons(sk6,iPr_def_16),X0)
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_137582,c_384]) ).
tcf(c_137599,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,iPr_def_16),X1),X0)
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_14)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_137582,c_419]) ).
tcf(c_137600,plain,
( ( sk8 = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ( cons(sk6,sk8) != cons(sk6,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_137582,c_51816]) ).
tcf(c_137601,plain,
( ( sk7 = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ( cons(sk6,sk7) != cons(sk6,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_137582,c_51331]) ).
tcf(c_137602,plain,
( ( sk4 = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ( cons(sk6,sk4) != cons(sk6,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_137582,c_51221]) ).
tcf(c_137603,plain,
ssList(cons(sk6,iPr_def_16)),
inference(forward_subsumption_resolution,[status(thm)],[c_137585,c_9020,c_9488]) ).
tcf(c_137604,plain,
rearsegP(cons(sk6,iPr_def_16),iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_137593,c_9020,c_9488]) ).
tcf(c_137605,plain,
frontsegP(cons(sk6,iPr_def_16),iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_137592,c_9020,c_9488]) ).
tcf(c_137606,plain,
( ( sk4 = iPr_def_16 )
| ( cons(sk6,sk4) != cons(sk6,iPr_def_16) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137602,c_9020]) ).
tcf(c_137609,plain,
( ( sk7 = iPr_def_16 )
| ( cons(sk6,sk7) != cons(sk6,iPr_def_16) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137601,c_9020]) ).
tcf(c_137612,plain,
cons(sk6,sk8) != cons(sk6,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_137600,c_29831,c_9020]) ).
tcf(c_137613,plain,
cons(sk6,iPr_def_16) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_137591,c_10149,c_9020,c_9488]) ).
tcf(c_137614,plain,
! [X0: $i] :
( frontsegP(cons(sk6,iPr_def_16),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137598,c_9020,c_9488]) ).
tcf(c_137618,plain,
! [X0: $i] :
( memberP(cons(sk6,iPr_def_16),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137597,c_9020,c_9488]) ).
tcf(c_137622,plain,
! [X0: $i] :
( rearsegP(cons(sk6,iPr_def_16),X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137595,c_9020,c_9488]) ).
tcf(c_137626,plain,
! [X0: $i] :
( memberP(cons(sk6,iPr_def_16),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137594,c_9020,c_9488]) ).
tcf(c_137630,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| memberP(iPr_def_14,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,iPr_def_16),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137589,c_9020,c_9488]) ).
tcf(c_137635,plain,
! [X0: $i] :
( ( X0 = iPr_def_16 )
| ~ ssList(X0)
| ( app(iPr_def_14,X0) != cons(sk6,iPr_def_16) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137596,c_9020,c_9488]) ).
tcf(c_137639,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(X0)
| ( app(X0,iPr_def_16) != cons(sk6,iPr_def_16) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137587,c_9020,c_9488]) ).
tcf(c_137643,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,iPr_def_16),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137599,c_9020,c_9488]) ).
tcf(c_137648,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,iPr_def_16),X0),iPr_def_16)
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,iPr_def_16),X0)) ),
inference(light_normalisation,[status(thm)],[c_137586,c_137582]) ).
tcf(c_137649,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,iPr_def_16),X0),iPr_def_16)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,iPr_def_16),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137648,c_9020,c_9488]) ).
tcf(c_137708,plain,
! [X0: $i] :
( ( app(app(cons(sk6,iPr_def_16),sk8),X0) = app(cons(sk6,iPr_def_16),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_137603,c_16217]) ).
tcf(c_137709,plain,
! [X0: $i] :
( ( app(app(cons(sk6,iPr_def_16),sk7),X0) = app(cons(sk6,iPr_def_16),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_137603,c_16216]) ).
tcf(c_137710,plain,
! [X0: $i] :
( ( app(app(cons(sk6,iPr_def_16),sk4),X0) = app(cons(sk6,iPr_def_16),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_137603,c_16215]) ).
tcf(c_137711,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,cons(sk6,iPr_def_16))) = app(cons(X1,X0),cons(sk6,iPr_def_16)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_137603,c_404]) ).
tcf(c_137712,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,cons(sk6,iPr_def_16)),X0) = app(X1,app(cons(sk6,iPr_def_16),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_137603,c_396]) ).
tcf(c_137713,plain,
! [X0: $i] :
( ( cons(sk6,iPr_def_16) = nil )
| ( app(tl(cons(sk6,iPr_def_16)),X0) = tl(app(cons(sk6,iPr_def_16),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_137603,c_380]) ).
tcf(c_137714,plain,
! [X0: $i] :
( ( cons(sk6,iPr_def_16) = nil )
| ( hd(app(cons(sk6,iPr_def_16),X0)) = hd(cons(sk6,iPr_def_16)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_137603,c_370]) ).
tcf(c_137715,plain,
cons(sk6,app(cons(sk6,iPr_def_16),sk7)) = app(cons(sk6,cons(sk6,iPr_def_16)),sk7),
inference(superposition,[status(thm)],[c_137603,c_122890]) ).
tcf(c_137716,plain,
hd(app(iPr_def_12,cons(sk6,iPr_def_16))) = sk5,
inference(superposition,[status(thm)],[c_137603,c_11944]) ).
tcf(c_137717,plain,
cons(sk5,app(cons(sk6,iPr_def_16),sk7)) = app(cons(sk5,cons(sk6,iPr_def_16)),sk7),
inference(superposition,[status(thm)],[c_137603,c_122889]) ).
tcf(c_137718,plain,
hd(app(iPr_def_14,cons(sk6,iPr_def_16))) = sk6,
inference(superposition,[status(thm)],[c_137603,c_11940]) ).
tcf(c_137719,plain,
hd(cons(skac2,cons(sk6,iPr_def_16))) = skac2,
inference(superposition,[status(thm)],[c_137603,c_10021]) ).
tcf(c_137720,plain,
hd(cons(skac3,cons(sk6,iPr_def_16))) = skac3,
inference(superposition,[status(thm)],[c_137603,c_10020]) ).
tcf(c_137721,plain,
tl(cons(skac2,cons(sk6,iPr_def_16))) = cons(sk6,iPr_def_16),
inference(superposition,[status(thm)],[c_137603,c_9891]) ).
tcf(c_137722,plain,
cons(sk6,app(cons(sk6,iPr_def_16),sk4)) = app(cons(sk6,cons(sk6,iPr_def_16)),sk4),
inference(superposition,[status(thm)],[c_137603,c_64778]) ).
tcf(c_137723,plain,
cons(sk5,app(cons(sk6,iPr_def_16),sk4)) = app(cons(sk5,cons(sk6,iPr_def_16)),sk4),
inference(superposition,[status(thm)],[c_137603,c_64777]) ).
tcf(c_137724,plain,
tl(cons(skac3,cons(sk6,iPr_def_16))) = cons(sk6,iPr_def_16),
inference(superposition,[status(thm)],[c_137603,c_9890]) ).
tcf(c_137725,plain,
app(app(sk8,sk8),cons(sk6,iPr_def_16)) = app(sk8,app(sk8,cons(sk6,iPr_def_16))),
inference(superposition,[status(thm)],[c_137603,c_56349]) ).
tcf(c_137726,plain,
app(app(sk7,sk8),cons(sk6,iPr_def_16)) = app(sk7,app(sk8,cons(sk6,iPr_def_16))),
inference(superposition,[status(thm)],[c_137603,c_56348]) ).
tcf(c_137727,plain,
app(app(sk4,sk8),cons(sk6,iPr_def_16)) = app(sk4,app(sk8,cons(sk6,iPr_def_16))),
inference(superposition,[status(thm)],[c_137603,c_56347]) ).
tcf(c_137728,plain,
app(app(sk8,sk7),cons(sk6,iPr_def_16)) = app(sk8,app(sk7,cons(sk6,iPr_def_16))),
inference(superposition,[status(thm)],[c_137603,c_45540]) ).
tcf(c_137729,plain,
app(app(sk7,sk7),cons(sk6,iPr_def_16)) = app(sk7,app(sk7,cons(sk6,iPr_def_16))),
inference(superposition,[status(thm)],[c_137603,c_45539]) ).
tcf(c_137730,plain,
app(app(sk4,sk7),cons(sk6,iPr_def_16)) = app(sk4,app(sk7,cons(sk6,iPr_def_16))),
inference(superposition,[status(thm)],[c_137603,c_45538]) ).
tcf(c_137731,plain,
app(app(sk8,sk4),cons(sk6,iPr_def_16)) = app(sk8,app(sk4,cons(sk6,iPr_def_16))),
inference(superposition,[status(thm)],[c_137603,c_37633]) ).
tcf(c_137732,plain,
app(app(sk7,sk4),cons(sk6,iPr_def_16)) = app(sk7,app(sk4,cons(sk6,iPr_def_16))),
inference(superposition,[status(thm)],[c_137603,c_37632]) ).
tcf(c_137733,plain,
app(app(sk4,sk4),cons(sk6,iPr_def_16)) = app(sk4,app(sk4,cons(sk6,iPr_def_16))),
inference(superposition,[status(thm)],[c_137603,c_37631]) ).
tcf(c_137734,plain,
( ( sk8 = nil )
| ( app(tl(sk8),cons(sk6,iPr_def_16)) = tl(app(sk8,cons(sk6,iPr_def_16))) ) ),
inference(superposition,[status(thm)],[c_137603,c_14611]) ).
tcf(c_137735,plain,
( ( sk7 = nil )
| ( app(tl(sk7),cons(sk6,iPr_def_16)) = tl(app(sk7,cons(sk6,iPr_def_16))) ) ),
inference(superposition,[status(thm)],[c_137603,c_14610]) ).
tcf(c_137736,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(sk6,iPr_def_16)) = tl(app(sk4,cons(sk6,iPr_def_16))) ) ),
inference(superposition,[status(thm)],[c_137603,c_14609]) ).
tcf(c_137737,plain,
( ( sk8 = nil )
| ( hd(app(sk8,cons(sk6,iPr_def_16))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_137603,c_11903]) ).
tcf(c_137738,plain,
( ( sk7 = nil )
| ( hd(app(sk7,cons(sk6,iPr_def_16))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_137603,c_11902]) ).
tcf(c_137739,plain,
( ( sk4 = nil )
| ( hd(app(sk4,cons(sk6,iPr_def_16))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_137603,c_11901]) ).
tcf(c_137740,plain,
( cyclefreeP(cons(sk6,iPr_def_16))
| ( app(app(skaf51(cons(sk6,iPr_def_16)),cons(skaf49(cons(sk6,iPr_def_16)),skaf52(cons(sk6,iPr_def_16)))),cons(skaf50(cons(sk6,iPr_def_16)),skaf53(cons(sk6,iPr_def_16)))) = cons(sk6,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_137603,c_414]) ).
tcf(c_137741,plain,
( totalorderP(cons(sk6,iPr_def_16))
| ( app(app(skaf56(cons(sk6,iPr_def_16)),cons(skaf54(cons(sk6,iPr_def_16)),skaf57(cons(sk6,iPr_def_16)))),cons(skaf55(cons(sk6,iPr_def_16)),skaf58(cons(sk6,iPr_def_16)))) = cons(sk6,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_137603,c_413]) ).
tcf(c_137742,plain,
( strictorderP(cons(sk6,iPr_def_16))
| ( app(app(skaf61(cons(sk6,iPr_def_16)),cons(skaf59(cons(sk6,iPr_def_16)),skaf62(cons(sk6,iPr_def_16)))),cons(skaf60(cons(sk6,iPr_def_16)),skaf63(cons(sk6,iPr_def_16)))) = cons(sk6,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_137603,c_412]) ).
tcf(c_137743,plain,
( totalorderedP(cons(sk6,iPr_def_16))
| ( app(app(skaf66(cons(sk6,iPr_def_16)),cons(skaf64(cons(sk6,iPr_def_16)),skaf67(cons(sk6,iPr_def_16)))),cons(skaf65(cons(sk6,iPr_def_16)),skaf68(cons(sk6,iPr_def_16)))) = cons(sk6,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_137603,c_411]) ).
tcf(c_137744,plain,
( strictorderedP(cons(sk6,iPr_def_16))
| ( app(app(skaf71(cons(sk6,iPr_def_16)),cons(skaf69(cons(sk6,iPr_def_16)),skaf72(cons(sk6,iPr_def_16)))),cons(skaf70(cons(sk6,iPr_def_16)),skaf73(cons(sk6,iPr_def_16)))) = cons(sk6,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_137603,c_410]) ).
tcf(c_137745,plain,
( duplicatefreeP(cons(sk6,iPr_def_16))
| ( app(app(skaf75(cons(sk6,iPr_def_16)),cons(skaf74(cons(sk6,iPr_def_16)),skaf76(cons(sk6,iPr_def_16)))),cons(skaf74(cons(sk6,iPr_def_16)),skaf77(cons(sk6,iPr_def_16)))) = cons(sk6,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_137603,c_409]) ).
tcf(c_137746,plain,
( equalelemsP(cons(sk6,iPr_def_16))
| ( app(skaf80(cons(sk6,iPr_def_16)),cons(skaf78(cons(sk6,iPr_def_16)),cons(skaf79(cons(sk6,iPr_def_16)),skaf81(cons(sk6,iPr_def_16))))) = cons(sk6,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_137603,c_389]) ).
tcf(c_137747,plain,
hd(cons(sk6,cons(sk6,iPr_def_16))) = sk6,
inference(superposition,[status(thm)],[c_137603,c_10017]) ).
tcf(c_137748,plain,
( ( cons(sk6,iPr_def_16) = nil )
| ( cons(skaf83(cons(sk6,iPr_def_16)),skaf82(cons(sk6,iPr_def_16))) = cons(sk6,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_137603,c_356]) ).
tcf(c_137749,plain,
( ( cons(sk6,iPr_def_16) = nil )
| ( cons(hd(cons(sk6,iPr_def_16)),tl(cons(sk6,iPr_def_16))) = cons(sk6,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_137603,c_351]) ).
tcf(c_137750,plain,
hd(cons(sk5,cons(sk6,iPr_def_16))) = sk5,
inference(superposition,[status(thm)],[c_137603,c_10016]) ).
tcf(c_137751,plain,
tl(cons(sk6,cons(sk6,iPr_def_16))) = cons(sk6,iPr_def_16),
inference(superposition,[status(thm)],[c_137603,c_9887]) ).
tcf(c_137752,plain,
tl(cons(sk5,cons(sk6,iPr_def_16))) = cons(sk6,iPr_def_16),
inference(superposition,[status(thm)],[c_137603,c_9886]) ).
tcf(c_137753,plain,
( duplicatefreeP(cons(sk6,iPr_def_16))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_137603,c_6471]) ).
tcf(c_137754,plain,
app(nil,cons(sk6,iPr_def_16)) = cons(sk6,iPr_def_16),
inference(superposition,[status(thm)],[c_137603,c_321]) ).
tcf(c_137755,plain,
app(cons(sk6,iPr_def_16),nil) = cons(sk6,iPr_def_16),
inference(superposition,[status(thm)],[c_137603,c_320]) ).
tcf(c_137764,plain,
cons(sk5,cons(sk6,app(iPr_def_16,sk4))) = app(cons(sk5,cons(sk6,iPr_def_16)),sk4),
inference(light_normalisation,[status(thm)],[c_137723,c_67557]) ).
tcf(c_137765,plain,
cons(sk6,cons(sk6,app(iPr_def_16,sk4))) = app(cons(sk6,cons(sk6,iPr_def_16)),sk4),
inference(light_normalisation,[status(thm)],[c_137722,c_67557]) ).
tcf(c_137766,plain,
cons(sk5,cons(sk6,app(iPr_def_16,sk7))) = app(cons(sk5,cons(sk6,iPr_def_16)),sk7),
inference(light_normalisation,[status(thm)],[c_137717,c_132545]) ).
tcf(c_137767,plain,
cons(sk6,cons(sk6,app(iPr_def_16,sk7))) = app(cons(sk6,cons(sk6,iPr_def_16)),sk7),
inference(light_normalisation,[status(thm)],[c_137715,c_132545]) ).
tcf(c_137774,plain,
! [X0: $i] :
( ( app(cons(sk6,app(iPr_def_16,sk4)),X0) = app(cons(sk6,iPr_def_16),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_137710,c_67557]) ).
tcf(c_137777,plain,
! [X0: $i] :
( ( app(cons(sk6,app(iPr_def_16,sk7)),X0) = app(cons(sk6,iPr_def_16),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_137709,c_132545]) ).
tcf(c_137785,plain,
! [X0: $i] :
( ( cons(sk6,iPr_def_16) = nil )
| ( hd(app(cons(sk6,iPr_def_16),X0)) = sk6 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_137714,c_11255]) ).
tcf(c_137795,plain,
! [X0: $i] :
( ( cons(sk6,iPr_def_16) = nil )
| ( tl(app(cons(sk6,iPr_def_16),X0)) = app(iPr_def_16,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_137713,c_10342]) ).
tcf(c_137948,plain,
! [X0: $i] :
( rearsegP(X0,iPr_def_16)
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(X0,cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_137604,c_400]) ).
tcf(c_137949,plain,
( ( app(skaf46(cons(sk6,iPr_def_16),iPr_def_16),iPr_def_16) = cons(sk6,iPr_def_16) )
| ~ ssList(iPr_def_16)
| ~ ssList(cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_137604,c_378]) ).
tcf(c_137950,plain,
( ( cons(sk6,iPr_def_16) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(iPr_def_16,cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_137604,c_375]) ).
tcf(c_137951,plain,
( rearsegP(cons(sk6,iPr_def_16),sk8)
| ~ ssList(cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_137604,c_15170]) ).
tcf(c_137952,plain,
rearsegP(cons(sk6,iPr_def_16),sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_137951,c_137603]) ).
tcf(c_137953,plain,
( ( cons(sk6,iPr_def_16) = iPr_def_16 )
| ~ rearsegP(iPr_def_16,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137950,c_9020,c_137603]) ).
tcf(c_137956,plain,
app(skaf46(cons(sk6,iPr_def_16),iPr_def_16),iPr_def_16) = cons(sk6,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_137949,c_9020,c_137603]) ).
tcf(c_137957,plain,
! [X0: $i] :
( rearsegP(X0,iPr_def_16)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137948,c_9020,c_137603]) ).
tcf(c_137962,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ frontsegP(X0,cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_137605,c_401]) ).
tcf(c_137963,plain,
( ( app(iPr_def_14,skaf45(cons(sk6,iPr_def_16),iPr_def_14)) = cons(sk6,iPr_def_16) )
| ~ ssList(iPr_def_14)
| ~ ssList(cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_137605,c_379]) ).
tcf(c_137964,plain,
( ( cons(sk6,iPr_def_16) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ frontsegP(iPr_def_14,cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_137605,c_376]) ).
tcf(c_137966,plain,
( ( cons(sk6,iPr_def_16) = iPr_def_14 )
| ~ frontsegP(iPr_def_14,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137964,c_9488,c_137603]) ).
tcf(c_137969,plain,
app(iPr_def_14,skaf45(cons(sk6,iPr_def_16),iPr_def_14)) = cons(sk6,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_137963,c_9488,c_137603]) ).
tcf(c_137970,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_14)
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137962,c_9488,c_137603]) ).
tcf(c_137975,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(X0,cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_137952,c_400]) ).
tcf(c_137976,plain,
( ( app(skaf46(cons(sk6,iPr_def_16),sk8),sk8) = cons(sk6,iPr_def_16) )
| ~ ssList(sk8)
| ~ ssList(cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_137952,c_378]) ).
tcf(c_137977,plain,
( ( cons(sk6,iPr_def_16) = sk8 )
| ~ ssList(sk8)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(sk8,cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_137952,c_375]) ).
tcf(c_137978,plain,
( ( cons(sk6,iPr_def_16) = sk8 )
| ~ rearsegP(sk8,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137977,c_6482,c_137603]) ).
tcf(c_137981,plain,
app(skaf46(cons(sk6,iPr_def_16),sk8),sk8) = cons(sk6,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_137976,c_6482,c_137603]) ).
tcf(c_137982,plain,
! [X0: $i] :
( rearsegP(X0,sk8)
| ~ ssList(X0)
| ~ rearsegP(X0,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137975,c_6482,c_137603]) ).
tcf(c_137997,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,iPr_def_16),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,iPr_def_16),sk8))
| ~ ssList(app(app(skaf46(cons(sk6,iPr_def_16),sk8),sk8),X0)) ),
inference(superposition,[status(thm)],[c_137981,c_420]) ).
tcf(c_137998,plain,
! [X0: $i] :
( ( skaf46(cons(sk6,iPr_def_16),sk8) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,iPr_def_16),sk8))
| ( app(X0,sk8) != cons(sk6,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_137981,c_398]) ).
tcf(c_138000,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf46(cons(sk6,iPr_def_16),sk8),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,iPr_def_16),X0)
| ~ ssList(skaf46(cons(sk6,iPr_def_16),sk8)) ),
inference(superposition,[status(thm)],[c_137981,c_405]) ).
tcf(c_138003,plain,
( frontsegP(cons(sk6,iPr_def_16),skaf46(cons(sk6,iPr_def_16),sk8))
| ~ ssList(sk8)
| ~ ssList(skaf46(cons(sk6,iPr_def_16),sk8)) ),
inference(superposition,[status(thm)],[c_137981,c_808]) ).
tcf(c_138005,plain,
! [X0: $i] :
( memberP(cons(sk6,iPr_def_16),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(skaf46(cons(sk6,iPr_def_16),sk8)) ),
inference(superposition,[status(thm)],[c_137981,c_388]) ).
tcf(c_138006,plain,
! [X0: $i] :
( rearsegP(cons(sk6,iPr_def_16),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(skaf46(cons(sk6,iPr_def_16),sk8)) ),
inference(superposition,[status(thm)],[c_137981,c_383]) ).
tcf(c_138007,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,iPr_def_16),sk8))
| ( app(skaf46(cons(sk6,iPr_def_16),sk8),X0) != cons(sk6,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_137981,c_397]) ).
tcf(c_138008,plain,
! [X0: $i] :
( memberP(cons(sk6,iPr_def_16),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(skaf46(cons(sk6,iPr_def_16),sk8))
| ~ memberP(skaf46(cons(sk6,iPr_def_16),sk8),X0) ),
inference(superposition,[status(thm)],[c_137981,c_387]) ).
tcf(c_138009,plain,
! [X0: $i] :
( frontsegP(cons(sk6,iPr_def_16),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,iPr_def_16),sk8))
| ~ frontsegP(skaf46(cons(sk6,iPr_def_16),sk8),X0) ),
inference(superposition,[status(thm)],[c_137981,c_384]) ).
tcf(c_138010,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,iPr_def_16),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(skaf46(cons(sk6,iPr_def_16),sk8)) ),
inference(superposition,[status(thm)],[c_137981,c_419]) ).
tcf(c_138012,plain,
( ( skaf46(cons(sk6,iPr_def_16),sk8) = nil )
| ~ ssList(skaf46(cons(sk6,iPr_def_16),sk8))
| ( cons(sk6,iPr_def_16) != sk8 ) ),
inference(superposition,[status(thm)],[c_137981,c_17621]) ).
tcf(c_138013,plain,
frontsegP(cons(sk6,iPr_def_16),skaf46(cons(sk6,iPr_def_16),sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_138003,c_6482,c_297]) ).
tcf(c_138014,plain,
( ( skaf46(cons(sk6,iPr_def_16),sk8) = nil )
| ( cons(sk6,iPr_def_16) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138012,c_297]) ).
tcf(c_138017,plain,
! [X0: $i] :
( rearsegP(cons(sk6,iPr_def_16),X0)
| ~ ssList(X0)
| ~ rearsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138006,c_6482,c_297]) ).
tcf(c_138021,plain,
! [X0: $i] :
( memberP(cons(sk6,iPr_def_16),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138005,c_6482,c_297]) ).
tcf(c_138025,plain,
! [X0: $i] :
( frontsegP(cons(sk6,iPr_def_16),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(cons(sk6,iPr_def_16),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138009,c_6482,c_297]) ).
tcf(c_138029,plain,
! [X0: $i] :
( memberP(cons(sk6,iPr_def_16),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(cons(sk6,iPr_def_16),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138008,c_6482,c_297]) ).
tcf(c_138033,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,iPr_def_16),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138010,c_6482,c_297]) ).
tcf(c_138038,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf46(cons(sk6,iPr_def_16),sk8),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,iPr_def_16),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138000,c_6482,c_297]) ).
tcf(c_138043,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ( app(skaf46(cons(sk6,iPr_def_16),sk8),X0) != cons(sk6,iPr_def_16) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138007,c_6482,c_297]) ).
tcf(c_138047,plain,
! [X0: $i] :
( ( skaf46(cons(sk6,iPr_def_16),sk8) = X0 )
| ~ ssList(X0)
| ( app(X0,sk8) != cons(sk6,iPr_def_16) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137998,c_6482,c_297]) ).
tcf(c_138051,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,iPr_def_16),X0),sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,iPr_def_16),sk8))
| ~ ssList(app(cons(sk6,iPr_def_16),X0)) ),
inference(light_normalisation,[status(thm)],[c_137997,c_137981]) ).
tcf(c_138052,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,iPr_def_16),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,iPr_def_16),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138051,c_6482,c_297]) ).
tcf(c_138065,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,iPr_def_16),sk8))
| ~ ssList(X0)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ frontsegP(X0,cons(sk6,iPr_def_16))
| ~ ssList(skaf46(cons(sk6,iPr_def_16),sk8)) ),
inference(superposition,[status(thm)],[c_138013,c_401]) ).
tcf(c_138066,plain,
( ( app(skaf46(cons(sk6,iPr_def_16),sk8),skaf45(cons(sk6,iPr_def_16),skaf46(cons(sk6,iPr_def_16),sk8))) = cons(sk6,iPr_def_16) )
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(skaf46(cons(sk6,iPr_def_16),sk8)) ),
inference(superposition,[status(thm)],[c_138013,c_379]) ).
tcf(c_138067,plain,
( ( skaf46(cons(sk6,iPr_def_16),sk8) = cons(sk6,iPr_def_16) )
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(skaf46(cons(sk6,iPr_def_16),sk8))
| ~ frontsegP(skaf46(cons(sk6,iPr_def_16),sk8),cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_138013,c_376]) ).
tcf(c_138068,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,iPr_def_16),sk8))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138065,c_137603,c_297]) ).
tcf(c_138072,plain,
( ( skaf46(cons(sk6,iPr_def_16),sk8) = cons(sk6,iPr_def_16) )
| ~ frontsegP(skaf46(cons(sk6,iPr_def_16),sk8),cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138067,c_137603,c_297]) ).
tcf(c_138075,plain,
app(skaf46(cons(sk6,iPr_def_16),sk8),skaf45(cons(sk6,iPr_def_16),skaf46(cons(sk6,iPr_def_16),sk8))) = cons(sk6,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_138066,c_137603,c_297]) ).
tcf(c_138084,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_383,c_137982]) ).
tcf(c_138085,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,iPr_def_16)),sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(app(X0,cons(sk6,iPr_def_16))) ),
inference(superposition,[status(thm)],[c_807,c_137982]) ).
tcf(c_138086,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(sk4,cons(sk6,iPr_def_16))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_83159,c_137982]) ).
tcf(c_138087,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(sk7,cons(sk6,iPr_def_16))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_82342,c_137982]) ).
tcf(c_138089,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(sk4,cons(sk6,iPr_def_16))
| ~ ssList(app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_107723,c_137982]) ).
tcf(c_138090,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(sk7,cons(sk6,iPr_def_16))
| ~ ssList(app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106791,c_137982]) ).
tcf(c_138092,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk8)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(sk4,cons(sk6,iPr_def_16))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_120412,c_137982]) ).
tcf(c_138093,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk8)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(sk7,cons(sk6,iPr_def_16))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_118918,c_137982]) ).
tcf(c_138095,plain,
( rearsegP(cons(sk5,sk4),sk8)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk4,cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_66416,c_137982]) ).
tcf(c_138096,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(sk4,cons(sk6,iPr_def_16))
| ~ ssList(cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68240,c_137982]) ).
tcf(c_138097,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(sk4,cons(sk6,iPr_def_16))
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_68547,c_137982]) ).
tcf(c_138098,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(sk4,cons(sk6,iPr_def_16))
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_68977,c_137982]) ).
tcf(c_138099,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(sk7,cons(sk6,iPr_def_16))
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124789,c_137982]) ).
tcf(c_138100,plain,
( rearsegP(cons(sk5,sk7),sk8)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(cons(sk5,sk7))
| ~ rearsegP(sk7,cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_127333,c_137982]) ).
tcf(c_138101,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(sk7,cons(sk6,iPr_def_16))
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132998,c_137982]) ).
tcf(c_138102,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(sk7,cons(sk6,iPr_def_16))
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134179,c_137982]) ).
tcf(c_138103,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(sk7,cons(sk6,iPr_def_16))
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134714,c_137982]) ).
tcf(c_138104,plain,
( rearsegP(cons(sk5,sk7),sk8)
| ~ rearsegP(sk7,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138100,c_137603,c_127316]) ).
tcf(c_138107,plain,
( rearsegP(cons(sk5,sk4),sk8)
| ~ rearsegP(sk4,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138095,c_137603,c_66402]) ).
tcf(c_138110,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,iPr_def_16)),sk8)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sk6,iPr_def_16))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138085,c_137603]) ).
tcf(c_138114,plain,
( rearsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ rearsegP(sk7,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138103,c_137603,c_134696]) ).
tcf(c_138117,plain,
( rearsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ rearsegP(sk7,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138102,c_137603,c_134161]) ).
tcf(c_138120,plain,
( rearsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138101,c_137603,c_132980]) ).
tcf(c_138123,plain,
( rearsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138099,c_137603,c_124771]) ).
tcf(c_138126,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk8)
| ~ rearsegP(sk4,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138098,c_137603,c_68959]) ).
tcf(c_138129,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk8)
| ~ rearsegP(sk4,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138097,c_137603,c_68529]) ).
tcf(c_138132,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138096,c_137603,c_68222]) ).
tcf(c_138135,plain,
( rearsegP(app(sk8,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138093,c_137603,c_112798]) ).
tcf(c_138138,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138092,c_137603,c_112801]) ).
tcf(c_138141,plain,
( rearsegP(app(sk7,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138090,c_137603,c_89538]) ).
tcf(c_138144,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138089,c_137603,c_89541]) ).
tcf(c_138147,plain,
( rearsegP(app(sk4,app(sk4,sk7)),sk8)
| ~ rearsegP(sk7,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138087,c_137603,c_79223]) ).
tcf(c_138150,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk8)
| ~ rearsegP(sk4,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138086,c_137603,c_79226]) ).
tcf(c_138153,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138084,c_137603]) ).
tcf(c_138219,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk8,X1)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(X0,cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_138017,c_400]) ).
tcf(c_138220,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk6,iPr_def_16),X0),X0) = cons(sk6,iPr_def_16) )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_138017,c_378]) ).
tcf(c_138221,plain,
! [X0: $i] :
( ( cons(sk6,iPr_def_16) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(X0,cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_138017,c_375]) ).
tcf(c_138225,plain,
( rearsegP(cons(sk6,iPr_def_16),sk4)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ rearsegP(sk8,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_138017,c_81078]) ).
tcf(c_138226,plain,
( rearsegP(cons(sk6,iPr_def_16),sk7)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ rearsegP(sk8,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_138017,c_81066]) ).
tcf(c_138228,plain,
( rearsegP(cons(sk6,iPr_def_16),sk4)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ rearsegP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_138017,c_92762]) ).
tcf(c_138229,plain,
( rearsegP(cons(sk6,iPr_def_16),sk7)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ rearsegP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_138017,c_92744]) ).
tcf(c_138231,plain,
( rearsegP(cons(sk6,iPr_def_16),sk4)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ rearsegP(sk8,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_138017,c_115593]) ).
tcf(c_138232,plain,
( rearsegP(cons(sk6,iPr_def_16),sk7)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ rearsegP(sk8,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_138017,c_115581]) ).
tcf(c_138235,plain,
( rearsegP(cons(sk6,iPr_def_16),sk4)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(cons(sk5,sk4))
| ~ rearsegP(sk8,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_138017,c_66649]) ).
tcf(c_138236,plain,
( rearsegP(cons(sk6,iPr_def_16),sk4)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk8,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_138017,c_129350]) ).
tcf(c_138237,plain,
( rearsegP(cons(sk6,iPr_def_16),sk4)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_138017,c_68485]) ).
tcf(c_138238,plain,
( rearsegP(cons(sk6,iPr_def_16),sk4)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_138017,c_68796]) ).
tcf(c_138239,plain,
( rearsegP(cons(sk6,iPr_def_16),sk4)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(sk8,cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_138017,c_69620]) ).
tcf(c_138240,plain,
( rearsegP(cons(sk6,iPr_def_16),sk7)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_138017,c_125361]) ).
tcf(c_138241,plain,
( rearsegP(cons(sk6,iPr_def_16),sk7)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(cons(sk5,sk7))
| ~ rearsegP(sk8,cons(sk5,sk7)) ),
inference(superposition,[status(thm)],[c_138017,c_127557]) ).
tcf(c_138242,plain,
( rearsegP(cons(sk6,iPr_def_16),sk7)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ rearsegP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_138017,c_133942]) ).
tcf(c_138243,plain,
( rearsegP(cons(sk6,iPr_def_16),sk7)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ rearsegP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_138017,c_134640]) ).
tcf(c_138245,plain,
( rearsegP(cons(sk6,iPr_def_16),sk7)
| ~ rearsegP(sk8,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138241,c_137603,c_127316]) ).
tcf(c_138248,plain,
( rearsegP(cons(sk6,iPr_def_16),sk4)
| ~ rearsegP(sk8,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138235,c_137603,c_66402]) ).
tcf(c_138251,plain,
! [X0: $i] :
( ( cons(sk6,iPr_def_16) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0)
| ~ rearsegP(X0,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138221,c_137603]) ).
tcf(c_138256,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk6,iPr_def_16),X0),X0) = cons(sk6,iPr_def_16) )
| ~ ssList(X0)
| ~ rearsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138220,c_137603]) ).
tcf(c_138260,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk8,X1)
| ~ rearsegP(X0,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138219,c_137603]) ).
tcf(c_138266,plain,
( rearsegP(cons(sk6,iPr_def_16),sk7)
| ~ rearsegP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138243,c_137603,c_134161]) ).
tcf(c_138269,plain,
( rearsegP(cons(sk6,iPr_def_16),sk7)
| ~ rearsegP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138242,c_137603,c_132980]) ).
tcf(c_138272,plain,
( rearsegP(cons(sk6,iPr_def_16),sk7)
| ~ rearsegP(sk8,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138240,c_137603,c_124771]) ).
tcf(c_138275,plain,
( rearsegP(cons(sk6,iPr_def_16),sk4)
| ~ rearsegP(sk8,cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138239,c_137603,c_68959]) ).
tcf(c_138278,plain,
( rearsegP(cons(sk6,iPr_def_16),sk4)
| ~ rearsegP(sk8,cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138238,c_137603,c_68529]) ).
tcf(c_138281,plain,
( rearsegP(cons(sk6,iPr_def_16),sk4)
| ~ rearsegP(sk8,cons(sk6,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138237,c_137603,c_68222]) ).
tcf(c_138284,plain,
( rearsegP(cons(sk6,iPr_def_16),sk4)
| ~ rearsegP(sk8,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138236,c_137603,c_127367]) ).
tcf(c_138287,plain,
( rearsegP(cons(sk6,iPr_def_16),sk7)
| ~ rearsegP(sk8,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138232,c_137603,c_112798]) ).
tcf(c_138290,plain,
( rearsegP(cons(sk6,iPr_def_16),sk4)
| ~ rearsegP(sk8,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138231,c_137603,c_112801]) ).
tcf(c_138293,plain,
( rearsegP(cons(sk6,iPr_def_16),sk7)
| ~ rearsegP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138229,c_137603,c_89538]) ).
tcf(c_138296,plain,
( rearsegP(cons(sk6,iPr_def_16),sk4)
| ~ rearsegP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138228,c_137603,c_89541]) ).
tcf(c_138299,plain,
( rearsegP(cons(sk6,iPr_def_16),sk7)
| ~ rearsegP(sk8,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138226,c_137603,c_79223]) ).
tcf(c_138302,plain,
( rearsegP(cons(sk6,iPr_def_16),sk4)
| ~ rearsegP(sk8,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138225,c_137603,c_79226]) ).
tcf(c_138365,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,iPr_def_16),X0),cons(X0,skaf43(X0,cons(sk6,iPr_def_16)))) = cons(sk6,iPr_def_16) )
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_138021,c_416]) ).
tcf(c_138366,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(iPr_def_16)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(superposition,[status(thm)],[c_138021,c_408]) ).
tcf(c_138367,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ( X0 = sk6 )
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138366,c_6484,c_9020]) ).
tcf(c_138372,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,iPr_def_16),X0),cons(X0,skaf43(X0,cons(sk6,iPr_def_16)))) = cons(sk6,iPr_def_16) )
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138365,c_137603]) ).
tcf(c_138384,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk8,sk7)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk8,sk7))))) = cons(sk6,app(sk8,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134718,c_416]) ).
tcf(c_138385,plain,
! [X0: $i] :
( memberP(app(sk8,sk7),X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_134718,c_408]) ).
tcf(c_138386,plain,
! [X0: $i] :
( memberP(app(sk8,sk7),X0)
| ( X0 = sk6 )
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(app(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138385,c_6484]) ).
tcf(c_138392,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk8,sk7)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk8,sk7))))) = cons(sk6,app(sk8,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138384,c_134696]) ).
tcf(c_138405,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(X0,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_383,c_135435]) ).
tcf(c_138406,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,app(sk8,sk7))),sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(app(X0,cons(sk6,app(sk8,sk7)))) ),
inference(superposition,[status(thm)],[c_807,c_135435]) ).
tcf(c_138407,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_83159,c_135435]) ).
tcf(c_138409,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(sk8,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_81233,c_135435]) ).
tcf(c_138410,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_107723,c_135435]) ).
tcf(c_138412,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(sk8,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_93147,c_135435]) ).
tcf(c_138413,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_120412,c_135435]) ).
tcf(c_138415,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(sk8,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_117779,c_135435]) ).
tcf(c_138416,plain,
( rearsegP(cons(sk5,sk4),sk7)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_66416,c_135435]) ).
tcf(c_138417,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_68240,c_135435]) ).
tcf(c_138418,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_68547,c_135435]) ).
tcf(c_138419,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_68977,c_135435]) ).
tcf(c_138425,plain,
( rearsegP(cons(sk6,iPr_def_16),sk7)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ rearsegP(sk8,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_138017,c_135435]) ).
tcf(c_138426,plain,
( rearsegP(cons(sk6,iPr_def_16),sk7)
| ~ rearsegP(sk8,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138425,c_137603,c_134696]) ).
tcf(c_138429,plain,
( rearsegP(cons(sk5,sk4),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138416,c_66402,c_134696]) ).
tcf(c_138432,plain,
! [X0: $i] :
( rearsegP(app(X0,cons(sk6,app(sk8,sk7))),sk7)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sk6,app(sk8,sk7)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138406,c_134696]) ).
tcf(c_138436,plain,
( rearsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138419,c_134696,c_68959]) ).
tcf(c_138439,plain,
( rearsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138418,c_134696,c_68529]) ).
tcf(c_138442,plain,
( rearsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138417,c_134696,c_68222]) ).
tcf(c_138445,plain,
( rearsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138415,c_112795,c_134696]) ).
tcf(c_138448,plain,
( rearsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138413,c_112801,c_134696]) ).
tcf(c_138451,plain,
( rearsegP(app(sk7,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138412,c_89535,c_134696]) ).
tcf(c_138454,plain,
( rearsegP(app(sk7,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138410,c_89541,c_134696]) ).
tcf(c_138457,plain,
( rearsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ rearsegP(sk8,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138409,c_79220,c_134696]) ).
tcf(c_138460,plain,
( rearsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138407,c_79226,c_134696]) ).
tcf(c_138463,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X1,X0),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X0))
| ~ rearsegP(X0,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138405,c_134696]) ).
tcf(c_138475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf67(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf67(X1)))
| ~ ssList(skaf82(skaf67(X1)))
| ~ leq(X2,skaf83(skaf67(X1)))
| ~ leq(skaf83(skaf67(X1)),X2)
| ~ ssList(app(app(X0,skaf67(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf67(X1)),skaf82(skaf67(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10996,c_432]) ).
tcf(c_138476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf67(X1)))
| leq(skaf83(skaf67(X1)),X2)
| ( skaf67(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf67(X1)))
| ~ ssList(skaf82(skaf67(X1)))
| ~ ssList(app(app(X0,skaf67(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf67(X1)),skaf82(skaf67(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10996,c_431]) ).
tcf(c_138477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf67(X1)))
| lt(skaf83(skaf67(X1)),X2)
| ( skaf67(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf67(X1)))
| ~ ssList(skaf82(skaf67(X1)))
| ~ ssList(app(app(X0,skaf67(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf67(X1)),skaf82(skaf67(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10996,c_430]) ).
tcf(c_138478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf67(X1)),X2)
| ( skaf67(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf67(X1)))
| ~ ssList(skaf82(skaf67(X1)))
| ~ ssList(app(app(X0,skaf67(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf67(X1)),skaf82(skaf67(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10996,c_429]) ).
tcf(c_138479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf67(X1)),X2)
| ( skaf67(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf67(X1)))
| ~ ssList(skaf82(skaf67(X1)))
| ~ ssList(app(app(X0,skaf67(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf67(X1)),skaf82(skaf67(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10996,c_428]) ).
tcf(c_138480,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf67(X1)))
| ~ ssList(skaf82(skaf67(X1)))
| ~ ssList(app(app(X0,skaf67(X1)),cons(skaf83(skaf67(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf67(X1)),skaf82(skaf67(X1)))),cons(skaf83(skaf67(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10996,c_426]) ).
tcf(c_138481,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf67(X1)),skaf83(skaf67(X1)))
| ( skaf67(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf67(X1)))
| ~ ssList(skaf82(skaf67(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf67(X1)),skaf82(skaf67(X1))))) ),
inference(superposition,[status(thm)],[c_10996,c_422]) ).
tcf(c_138482,plain,
! [X0: $i] :
( memberP(skaf67(X0),skaf83(skaf67(X0)))
| ( skaf67(X0) = nil )
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10996,c_385]) ).
tcf(c_138484,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( skaf82(skaf67(X0)) = nil )
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0)))
| ( skaf67(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10996,c_21847]) ).
tcf(c_138485,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( skaf82(skaf67(X0)) = nil )
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0)))
| ( skaf67(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10996,c_21842]) ).
tcf(c_138486,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( skaf83(skaf67(X0)) = sk5 )
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0)))
| ( skaf67(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10996,c_21750]) ).
tcf(c_138487,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( skaf83(skaf67(X0)) = sk6 )
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0)))
| ( skaf67(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10996,c_21745]) ).
tcf(c_138488,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( skaf83(skaf67(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf67(X0))
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10996,c_21595]) ).
tcf(c_138489,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( skaf83(skaf67(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf67(X0))
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10996,c_21590]) ).
tcf(c_138490,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( skaf83(skaf67(X0)) = sk5 )
| ~ frontsegP(skaf67(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10996,c_21585]) ).
tcf(c_138491,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( skaf83(skaf67(X0)) = sk6 )
| ~ frontsegP(skaf67(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10996,c_21580]) ).
tcf(c_138492,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf67(X0)))
| ( skaf67(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf67(X0))
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10996,c_21202]) ).
tcf(c_138493,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf67(X0)))
| ( skaf67(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf67(X0))
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10996,c_21197]) ).
tcf(c_138496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X0) = nil )
| ( skaf83(skaf67(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0)))
| ~ frontsegP(skaf67(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10996,c_423]) ).
tcf(c_138497,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf67(X0)),X2)
| ( skaf67(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0)))
| ~ frontsegP(skaf67(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10996,c_421]) ).
tcf(c_138498,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf67(X0)),X1)
| ( skaf67(X0) = nil )
| ( skaf83(skaf67(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0)))
| ~ memberP(skaf67(X0),X1) ),
inference(superposition,[status(thm)],[c_10996,c_408]) ).
tcf(c_138499,plain,
! [X0: $i] :
( leq(skaf83(skaf67(X0)),hd(skaf82(skaf67(X0))))
| ( skaf67(X0) = nil )
| ( skaf82(skaf67(X0)) = nil )
| ~ totalorderedP(skaf67(X0))
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10996,c_382]) ).
tcf(c_138500,plain,
! [X0: $i] :
( lt(skaf83(skaf67(X0)),hd(skaf82(skaf67(X0))))
| ( skaf67(X0) = nil )
| ( skaf82(skaf67(X0)) = nil )
| ~ strictorderedP(skaf67(X0))
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10996,c_381]) ).
tcf(c_138501,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf67(X0)))
| ( skaf67(X0) = nil )
| ( skaf82(skaf67(X0)) = nil )
| ~ totalorderedP(skaf67(X0))
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10996,c_372]) ).
tcf(c_138502,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf67(X0)))
| ( skaf67(X0) = nil )
| ( skaf82(skaf67(X0)) = nil )
| ~ strictorderedP(skaf67(X0))
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0))) ),
inference(superposition,[status(thm)],[c_10996,c_371]) ).
tcf(c_138503,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0)))
| ( skaf82(skaf67(X0)) != skaf67(X0) ) ),
inference(superposition,[status(thm)],[c_10996,c_346]) ).
tcf(c_138505,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf67(X1)),X0),skaf67(X1))
| ( skaf67(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf67(X1)))
| ~ ssList(skaf82(skaf67(X1)))
| ~ frontsegP(X0,skaf82(skaf67(X1))) ),
inference(superposition,[status(thm)],[c_10996,c_425]) ).
tcf(c_138506,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X2) = nil )
| ( skaf83(skaf67(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf67(X2)))
| ~ ssList(skaf82(skaf67(X2)))
| ~ ssList(app(X0,cons(X1,skaf67(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf67(X2)),skaf82(skaf67(X2)))))) ),
inference(superposition,[status(thm)],[c_10996,c_427]) ).
tcf(c_138507,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X2) = nil )
| ( skaf82(skaf67(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf67(X2)))
| ~ ssList(skaf82(skaf67(X2)))
| ( cons(X0,X1) != skaf67(X2) ) ),
inference(superposition,[status(thm)],[c_10996,c_418]) ).
tcf(c_138508,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X2) = nil )
| ( skaf83(skaf67(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf67(X2)))
| ~ ssList(skaf82(skaf67(X2)))
| ( cons(X0,X1) != skaf67(X2) ) ),
inference(superposition,[status(thm)],[c_10996,c_417]) ).
tcf(c_138509,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X2) = nil )
| ( skaf83(skaf67(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf67(X2)))
| ~ ssList(skaf82(skaf67(X2)))
| ~ frontsegP(cons(X0,X1),skaf67(X2)) ),
inference(superposition,[status(thm)],[c_10996,c_423]) ).
tcf(c_138510,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf67(X2)))
| ( skaf67(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf67(X2)))
| ~ ssList(skaf82(skaf67(X2)))
| ~ frontsegP(cons(X0,X1),skaf67(X2)) ),
inference(superposition,[status(thm)],[c_10996,c_421]) ).
tcf(c_138511,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf67(X0),cons(skaf83(skaf67(X0)),X1))
| ( skaf67(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0)))
| ~ frontsegP(skaf82(skaf67(X0)),X1) ),
inference(superposition,[status(thm)],[c_10996,c_425]) ).
tcf(c_138512,plain,
! [X0: $i,X1: $i] :
( memberP(skaf67(X0),X1)
| ( skaf67(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf67(X0)))
| ~ ssList(skaf82(skaf67(X0)))
| ~ memberP(skaf82(skaf67(X0)),X1) ),
inference(superposition,[status(thm)],[c_10996,c_386]) ).
tcf(c_138513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf67(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf67(X3)))
| ~ ssList(skaf82(skaf67(X3)))
| ~ leq(X1,skaf83(skaf67(X3)))
| ~ leq(skaf83(skaf67(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf67(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf67(X3)),skaf82(skaf67(X3))))) ),
inference(superposition,[status(thm)],[c_10996,c_432]) ).
tcf(c_138514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf67(X3)))
| leq(skaf83(skaf67(X3)),X1)
| ( skaf67(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf67(X3)))
| ~ ssList(skaf82(skaf67(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf67(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf67(X3)),skaf82(skaf67(X3))))) ),
inference(superposition,[status(thm)],[c_10996,c_431]) ).
tcf(c_138515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf67(X3)))
| lt(skaf83(skaf67(X3)),X1)
| ( skaf67(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf67(X3)))
| ~ ssList(skaf82(skaf67(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf67(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf67(X3)),skaf82(skaf67(X3))))) ),
inference(superposition,[status(thm)],[c_10996,c_430]) ).
tcf(c_138516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf67(X3)))
| ( skaf67(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf67(X3)))
| ~ ssList(skaf82(skaf67(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf67(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf67(X3)),skaf82(skaf67(X3))))) ),
inference(superposition,[status(thm)],[c_10996,c_429]) ).
tcf(c_138517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf67(X3)))
| ( skaf67(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf67(X3)))
| ~ ssList(skaf82(skaf67(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf67(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf67(X3)),skaf82(skaf67(X3))))) ),
inference(superposition,[status(thm)],[c_10996,c_428]) ).
tcf(c_138518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf67(X1)))
| ~ ssList(skaf82(skaf67(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf67(X1)),X2)),skaf67(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf67(X1)),X2)),cons(skaf83(skaf67(X1)),skaf82(skaf67(X1))))) ),
inference(superposition,[status(thm)],[c_10996,c_426]) ).
tcf(c_138519,plain,
! [X0: $i] :
( memberP(skaf67(X0),skaf83(skaf67(X0)))
| ( skaf67(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138482,c_259,c_260]) ).
tcf(c_138522,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( skaf82(skaf67(X0)) != skaf67(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138503,c_259,c_260]) ).
tcf(c_138525,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf67(X0)))
| ( skaf67(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf67(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138493,c_259,c_260]) ).
tcf(c_138529,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf67(X0)))
| ( skaf67(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf67(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138492,c_259,c_260]) ).
tcf(c_138533,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( skaf83(skaf67(X0)) = sk6 )
| ~ frontsegP(skaf67(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138491,c_259,c_260]) ).
tcf(c_138537,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( skaf83(skaf67(X0)) = sk5 )
| ~ frontsegP(skaf67(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138490,c_259,c_260]) ).
tcf(c_138541,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( skaf83(skaf67(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf67(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138489,c_259,c_260]) ).
tcf(c_138545,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( skaf83(skaf67(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf67(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138488,c_259,c_260]) ).
tcf(c_138549,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( skaf83(skaf67(X0)) = sk6 )
| ( skaf67(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138487,c_259,c_260]) ).
tcf(c_138553,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( skaf83(skaf67(X0)) = sk5 )
| ( skaf67(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138486,c_259,c_260]) ).
tcf(c_138557,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( skaf82(skaf67(X0)) = nil )
| ( skaf67(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138485,c_259,c_260]) ).
tcf(c_138561,plain,
! [X0: $i] :
( ( skaf67(X0) = nil )
| ( skaf82(skaf67(X0)) = nil )
| ( skaf67(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138484,c_259,c_260]) ).
tcf(c_138565,plain,
! [X0: $i,X1: $i] :
( memberP(skaf67(X0),X1)
| ( skaf67(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf67(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138512,c_259,c_260]) ).
tcf(c_138570,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf67(X0)))
| ( skaf67(X0) = nil )
| ( skaf82(skaf67(X0)) = nil )
| ~ strictorderedP(skaf67(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138502,c_259,c_260]) ).
tcf(c_138575,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf67(X0)))
| ( skaf67(X0) = nil )
| ( skaf82(skaf67(X0)) = nil )
| ~ totalorderedP(skaf67(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138501,c_259,c_260]) ).
tcf(c_138580,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf67(X0),cons(skaf83(skaf67(X0)),X1))
| ( skaf67(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf67(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138511,c_259,c_260]) ).
tcf(c_138585,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf67(X1)),X0),skaf67(X1))
| ( skaf67(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf67(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138505,c_259,c_260]) ).
tcf(c_138590,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf67(X2)))
| ( skaf67(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf67(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138510,c_259,c_260]) ).
tcf(c_138596,plain,
! [X0: $i] :
( lt(skaf83(skaf67(X0)),hd(skaf82(skaf67(X0))))
| ( skaf67(X0) = nil )
| ( skaf82(skaf67(X0)) = nil )
| ~ strictorderedP(skaf67(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138500,c_259,c_260]) ).
tcf(c_138601,plain,
! [X0: $i] :
( leq(skaf83(skaf67(X0)),hd(skaf82(skaf67(X0))))
| ( skaf67(X0) = nil )
| ( skaf82(skaf67(X0)) = nil )
| ~ totalorderedP(skaf67(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138499,c_259,c_260]) ).
tcf(c_138606,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf67(X0)),X2)
| ( skaf67(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf67(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138497,c_259,c_260]) ).
tcf(c_138612,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X2) = nil )
| ( skaf83(skaf67(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf67(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138509,c_259,c_260]) ).
tcf(c_138618,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf67(X0)),X1)
| ( skaf67(X0) = nil )
| ( skaf83(skaf67(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf67(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138498,c_259,c_260]) ).
tcf(c_138624,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X0) = nil )
| ( skaf83(skaf67(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf67(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138496,c_259,c_260]) ).
tcf(c_138630,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X2) = nil )
| ( skaf83(skaf67(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf67(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138508,c_259,c_260]) ).
tcf(c_138636,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X2) = nil )
| ( skaf82(skaf67(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf67(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138507,c_259,c_260]) ).
tcf(c_138642,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf67(X1)),skaf83(skaf67(X1)))
| ( skaf67(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf67(X1)),skaf82(skaf67(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138481,c_259,c_260]) ).
tcf(c_138647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X2) = nil )
| ( skaf83(skaf67(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf67(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf67(X2)),skaf82(skaf67(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138506,c_259,c_260]) ).
tcf(c_138654,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf67(X1)),X2)),skaf67(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf67(X1)),X2)),cons(skaf83(skaf67(X1)),skaf82(skaf67(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138518,c_259,c_260]) ).
tcf(c_138660,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf67(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf67(X1)),cons(skaf83(skaf67(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf67(X1)),skaf82(skaf67(X1)))),cons(skaf83(skaf67(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138480,c_259,c_260]) ).
tcf(c_138666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf67(X3)))
| ( skaf67(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf67(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf67(X3)),skaf82(skaf67(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138517,c_259,c_260]) ).
tcf(c_138674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf67(X3)))
| ( skaf67(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf67(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf67(X3)),skaf82(skaf67(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138516,c_259,c_260]) ).
tcf(c_138682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf67(X1)),X2)
| ( skaf67(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf67(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf67(X1)),skaf82(skaf67(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138479,c_259,c_260]) ).
tcf(c_138690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf67(X1)),X2)
| ( skaf67(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf67(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf67(X1)),skaf82(skaf67(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138478,c_259,c_260]) ).
tcf(c_138698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf67(X3)))
| lt(skaf83(skaf67(X3)),X1)
| ( skaf67(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf67(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf67(X3)),skaf82(skaf67(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138515,c_259,c_260]) ).
tcf(c_138707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf67(X3)))
| leq(skaf83(skaf67(X3)),X1)
| ( skaf67(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf67(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf67(X3)),skaf82(skaf67(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138514,c_259,c_260]) ).
tcf(c_138716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf67(X1)))
| lt(skaf83(skaf67(X1)),X2)
| ( skaf67(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf67(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf67(X1)),skaf82(skaf67(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138477,c_259,c_260]) ).
tcf(c_138725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf67(X1)))
| leq(skaf83(skaf67(X1)),X2)
| ( skaf67(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf67(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf67(X1)),skaf82(skaf67(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138476,c_259,c_260]) ).
tcf(c_138734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf67(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf67(X3)))
| ~ leq(skaf83(skaf67(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf67(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf67(X3)),skaf82(skaf67(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138513,c_259,c_260]) ).
tcf(c_138743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf67(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf67(X1)))
| ~ leq(skaf83(skaf67(X1)),X2)
| ~ ssList(app(app(X0,skaf67(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf67(X1)),skaf82(skaf67(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138475,c_259,c_260]) ).
tcf(c_138945,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac2,app(sk7,sk4))))
| ( cons(skac2,app(sk7,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac2)
| ~ strictorderedP(cons(skac2,app(sk7,sk4)))
| ~ ssList(cons(skac2,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_89732,c_407]) ).
tcf(c_138946,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac2,app(sk7,sk4))))
| ( cons(skac2,app(sk7,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac2)
| ~ totalorderedP(cons(skac2,app(sk7,sk4)))
| ~ ssList(cons(skac2,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_89732,c_406]) ).
tcf(c_138962,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac3,app(sk7,sk4))))
| ( cons(skac3,app(sk7,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac3)
| ~ strictorderedP(cons(skac3,app(sk7,sk4)))
| ~ ssList(cons(skac3,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_89733,c_407]) ).
tcf(c_138963,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac3,app(sk7,sk4))))
| ( cons(skac3,app(sk7,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac3)
| ~ totalorderedP(cons(skac3,app(sk7,sk4)))
| ~ ssList(cons(skac3,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_89733,c_406]) ).
tcf(c_138979,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,app(sk7,sk4))))
| ( cons(sk6,app(sk7,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_89760,c_407]) ).
tcf(c_138980,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,app(sk7,sk4))))
| ( cons(sk6,app(sk7,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_89760,c_406]) ).
tcf(c_138982,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,app(sk7,sk4))))
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138980,c_68555,c_68529]) ).
tcf(c_138987,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,app(sk7,sk4))))
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138979,c_68555,c_68529]) ).
tcf(c_139046,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,app(sk7,sk4))))
| ( cons(sk5,app(sk7,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,app(sk7,sk4)))
| ~ ssList(cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_89763,c_407]) ).
tcf(c_139047,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,app(sk7,sk4))))
| ( cons(sk5,app(sk7,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,app(sk7,sk4)))
| ~ ssList(cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_89763,c_406]) ).
tcf(c_139049,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,app(sk7,sk4))))
| ( cons(sk5,app(sk7,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139047,c_127367]) ).
tcf(c_139055,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,app(sk7,sk4))))
| ( cons(sk5,app(sk7,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139046,c_127367]) ).
tcf(c_139070,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk4)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_419,c_135749]) ).
tcf(c_139071,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,cons(sk6,app(sk4,sk7))),X1),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ ssList(app(app(X0,cons(sk6,app(sk4,sk7))),X1)) ),
inference(superposition,[status(thm)],[c_420,c_135749]) ).
tcf(c_139072,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(iPr_def_12,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20331,c_135749]) ).
tcf(c_139073,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20339,c_135749]) ).
tcf(c_139076,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(nil,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20310,c_135749]) ).
tcf(c_139077,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20290,c_135749]) ).
tcf(c_139078,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(nil,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20305,c_135749]) ).
tcf(c_139079,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20285,c_135749]) ).
tcf(c_139080,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_36763,c_135749]) ).
tcf(c_139081,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_36958,c_135749]) ).
tcf(c_139082,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_37047,c_135749]) ).
tcf(c_139092,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk4)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_46269,c_135749]) ).
tcf(c_139093,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk4)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_46627,c_135749]) ).
tcf(c_139094,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk4)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_46935,c_135749]) ).
tcf(c_139095,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk4)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_49501,c_135749]) ).
tcf(c_139096,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk4)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_50076,c_135749]) ).
tcf(c_139097,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk4)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_50639,c_135749]) ).
tcf(c_139098,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk4)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_52483,c_135749]) ).
tcf(c_139099,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk4)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_53190,c_135749]) ).
tcf(c_139100,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk4)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_53742,c_135749]) ).
tcf(c_139101,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk4)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_57364,c_135749]) ).
tcf(c_139102,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk4)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_57774,c_135749]) ).
tcf(c_139103,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk4)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_58149,c_135749]) ).
tcf(c_139104,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk4)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_59837,c_135749]) ).
tcf(c_139105,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk4)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_60305,c_135749]) ).
tcf(c_139106,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk4)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_60713,c_135749]) ).
tcf(c_139107,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk4)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_62324,c_135749]) ).
tcf(c_139108,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk4)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_62735,c_135749]) ).
tcf(c_139109,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk4)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_63072,c_135749]) ).
tcf(c_139110,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk4)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_66437,c_135749]) ).
tcf(c_139112,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk4)
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68531,c_135749]) ).
tcf(c_139113,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk4)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68961,c_135749]) ).
tcf(c_139117,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_134163,c_135749]) ).
tcf(c_139118,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk4)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_134698,c_135749]) ).
tcf(c_139119,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139079,c_132980]) ).
tcf(c_139124,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(nil,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139078,c_132980]) ).
tcf(c_139129,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139077,c_132980]) ).
tcf(c_139134,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(nil,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139076,c_132980]) ).
tcf(c_139139,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139073,c_132980]) ).
tcf(c_139144,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(iPr_def_12,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139072,c_132980]) ).
tcf(c_139149,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk4)
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139118,c_134696,c_132980]) ).
tcf(c_139152,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk4)
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139117,c_134161,c_132980]) ).
tcf(c_139155,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk4)
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139113,c_68959,c_132980]) ).
tcf(c_139158,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk4)
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139112,c_68529,c_132980]) ).
tcf(c_139161,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk4)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139109,c_132980]) ).
tcf(c_139165,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk4)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139108,c_132980]) ).
tcf(c_139169,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk4)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139107,c_132980]) ).
tcf(c_139173,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk4)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139106,c_132980]) ).
tcf(c_139177,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk4)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139105,c_132980]) ).
tcf(c_139181,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk4)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139104,c_132980]) ).
tcf(c_139185,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk4)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139103,c_132980]) ).
tcf(c_139189,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk4)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139102,c_132980]) ).
tcf(c_139193,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk4)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139101,c_132980]) ).
tcf(c_139197,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk4)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139100,c_132980]) ).
tcf(c_139201,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk4)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139099,c_132980]) ).
tcf(c_139205,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk4)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139098,c_132980]) ).
tcf(c_139209,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk4)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139097,c_132980]) ).
tcf(c_139213,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk4)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139096,c_132980]) ).
tcf(c_139217,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk4)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139095,c_132980]) ).
tcf(c_139221,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk4)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139094,c_132980]) ).
tcf(c_139225,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk4)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139093,c_132980]) ).
tcf(c_139229,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk4)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139092,c_132980]) ).
tcf(c_139234,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139082,c_132980]) ).
tcf(c_139239,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139081,c_132980]) ).
tcf(c_139245,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,cons(sk6,app(sk4,sk7))),X1),sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(sk6,app(sk4,sk7))),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139071,c_132980]) ).
tcf(c_139250,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk4)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139070,c_132980]) ).
tcf(c_139326,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk7)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_419,c_136652]) ).
tcf(c_139327,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,cons(sk6,app(sk7,sk7))),X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(app(app(X0,cons(sk6,app(sk7,sk7))),X1)) ),
inference(superposition,[status(thm)],[c_420,c_136652]) ).
tcf(c_139328,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(iPr_def_12,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_20331,c_136652]) ).
tcf(c_139329,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_20339,c_136652]) ).
tcf(c_139330,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(nil,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_20315,c_136652]) ).
tcf(c_139331,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_20295,c_136652]) ).
tcf(c_139334,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(nil,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_20305,c_136652]) ).
tcf(c_139335,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_20285,c_136652]) ).
tcf(c_139336,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_36763,c_136652]) ).
tcf(c_139337,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_36958,c_136652]) ).
tcf(c_139338,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_37047,c_136652]) ).
tcf(c_139339,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk7)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_38396,c_136652]) ).
tcf(c_139340,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk7)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_38769,c_136652]) ).
tcf(c_139341,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk7)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_39419,c_136652]) ).
tcf(c_139345,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_43065,c_136652]) ).
tcf(c_139346,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_43810,c_136652]) ).
tcf(c_139347,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_44222,c_136652]) ).
tcf(c_139357,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk7)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_57364,c_136652]) ).
tcf(c_139358,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk7)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_57774,c_136652]) ).
tcf(c_139359,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk7)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_58149,c_136652]) ).
tcf(c_139360,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_59837,c_136652]) ).
tcf(c_139361,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_60305,c_136652]) ).
tcf(c_139362,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk7)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_60713,c_136652]) ).
tcf(c_139363,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk7)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_62324,c_136652]) ).
tcf(c_139364,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk7)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_62735,c_136652]) ).
tcf(c_139365,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk7)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_63072,c_136652]) ).
tcf(c_139366,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_66437,c_136652]) ).
tcf(c_139367,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_68224,c_136652]) ).
tcf(c_139369,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_68961,c_136652]) ).
tcf(c_139370,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_77726,c_136652]) ).
tcf(c_139371,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk7)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_124773,c_136652]) ).
tcf(c_139372,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk7)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_132982,c_136652]) ).
tcf(c_139374,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk7)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134698,c_136652]) ).
tcf(c_139375,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139335,c_134161]) ).
tcf(c_139380,plain,
! [X0: $i] :
( segmentP(app(sk8,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk8,X0))
| ~ segmentP(nil,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139334,c_134161]) ).
tcf(c_139385,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139331,c_134161]) ).
tcf(c_139390,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(nil,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139330,c_134161]) ).
tcf(c_139395,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139329,c_134161]) ).
tcf(c_139400,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(iPr_def_12,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139328,c_134161]) ).
tcf(c_139405,plain,
( segmentP(cons(sk6,app(sk8,sk7)),sk7)
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139374,c_134696,c_134161]) ).
tcf(c_139408,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139372,c_134161,c_132980]) ).
tcf(c_139411,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139371,c_134161,c_124771]) ).
tcf(c_139414,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139370,c_134161,c_66447]) ).
tcf(c_139417,plain,
( segmentP(cons(sk6,app(sk8,sk4)),sk7)
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139369,c_68959,c_134161]) ).
tcf(c_139420,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139367,c_134161,c_68222]) ).
tcf(c_139423,plain,
( segmentP(app(sk8,app(sk8,sk8)),sk7)
| ~ ssList(app(sk8,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139365,c_134161]) ).
tcf(c_139427,plain,
( segmentP(app(sk8,app(sk8,sk7)),sk7)
| ~ ssList(app(sk8,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139364,c_134161]) ).
tcf(c_139431,plain,
( segmentP(app(sk8,app(sk8,sk4)),sk7)
| ~ ssList(app(sk8,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139363,c_134161]) ).
tcf(c_139435,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk7)
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139362,c_134161]) ).
tcf(c_139439,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139361,c_134161]) ).
tcf(c_139443,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk7)
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139360,c_134161]) ).
tcf(c_139447,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk7)
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139359,c_134161]) ).
tcf(c_139451,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk7)
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139358,c_134161]) ).
tcf(c_139455,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk7)
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139357,c_134161]) ).
tcf(c_139459,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk7)
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139347,c_112795,c_134161]) ).
tcf(c_139462,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139346,c_112798,c_134161]) ).
tcf(c_139465,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139345,c_112801,c_134161]) ).
tcf(c_139468,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk7)
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139341,c_79220,c_134161]) ).
tcf(c_139471,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk7)
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139340,c_79223,c_134161]) ).
tcf(c_139474,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk7)
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139339,c_79226,c_134161]) ).
tcf(c_139477,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139366,c_134161]) ).
tcf(c_139482,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139338,c_134161]) ).
tcf(c_139488,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk7)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139336,c_134161]) ).
tcf(c_139493,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,cons(sk6,app(sk7,sk7))),X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(sk6,app(sk7,sk7))),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139327,c_134161]) ).
tcf(c_139498,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk7)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139326,c_134161]) ).
tcf(c_139599,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk8)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_419,c_136962]) ).
tcf(c_139600,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,cons(sk6,app(sk8,sk7))),X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(app(app(X0,cons(sk6,app(sk8,sk7))),X1)) ),
inference(superposition,[status(thm)],[c_420,c_136962]) ).
tcf(c_139601,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(iPr_def_12,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_20331,c_136962]) ).
tcf(c_139603,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(nil,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_20315,c_136962]) ).
tcf(c_139604,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_20295,c_136962]) ).
tcf(c_139605,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(nil,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_20310,c_136962]) ).
tcf(c_139606,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_20290,c_136962]) ).
tcf(c_139609,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_36763,c_136962]) ).
tcf(c_139610,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_36958,c_136962]) ).
tcf(c_139611,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_37047,c_136962]) ).
tcf(c_139612,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk8)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_38396,c_136962]) ).
tcf(c_139613,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk8)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_38769,c_136962]) ).
tcf(c_139614,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk8)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_39419,c_136962]) ).
tcf(c_139615,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk8)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_41217,c_136962]) ).
tcf(c_139616,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk8)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_41665,c_136962]) ).
tcf(c_139617,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk8)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_42055,c_136962]) ).
tcf(c_139618,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_43065,c_136962]) ).
tcf(c_139619,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_43810,c_136962]) ).
tcf(c_139620,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_44222,c_136962]) ).
tcf(c_139621,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk8)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_46269,c_136962]) ).
tcf(c_139622,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk8)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_46627,c_136962]) ).
tcf(c_139623,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk8)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_46935,c_136962]) ).
tcf(c_139624,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk8)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_49501,c_136962]) ).
tcf(c_139625,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk8)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_50076,c_136962]) ).
tcf(c_139626,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk8)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_50639,c_136962]) ).
tcf(c_139627,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_52483,c_136962]) ).
tcf(c_139628,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_53190,c_136962]) ).
tcf(c_139629,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk8)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_53742,c_136962]) ).
tcf(c_139639,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_66437,c_136962]) ).
tcf(c_139640,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk8)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_68224,c_136962]) ).
tcf(c_139641,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk8)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_68531,c_136962]) ).
tcf(c_139643,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk8)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_77726,c_136962]) ).
tcf(c_139644,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk8)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_124773,c_136962]) ).
tcf(c_139645,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk8)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_132982,c_136962]) ).
tcf(c_139646,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk8)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134163,c_136962]) ).
tcf(c_139648,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139606,c_134696]) ).
tcf(c_139653,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(nil,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139605,c_134696]) ).
tcf(c_139658,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139604,c_134696]) ).
tcf(c_139663,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(nil,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139603,c_134696]) ).
tcf(c_139668,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(iPr_def_12,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139601,c_134696]) ).
tcf(c_139673,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk8)
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139646,c_134696,c_134161]) ).
tcf(c_139676,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139645,c_134696,c_132980]) ).
tcf(c_139679,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139644,c_134696,c_124771]) ).
tcf(c_139682,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139643,c_134696,c_66447]) ).
tcf(c_139685,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk8)
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139641,c_134696,c_68529]) ).
tcf(c_139688,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139640,c_134696,c_68222]) ).
tcf(c_139691,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk8)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139629,c_134696]) ).
tcf(c_139695,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139628,c_134696]) ).
tcf(c_139699,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139627,c_134696]) ).
tcf(c_139703,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk8)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139626,c_134696]) ).
tcf(c_139707,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk8)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139625,c_134696]) ).
tcf(c_139711,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk8)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139624,c_134696]) ).
tcf(c_139715,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk8)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139623,c_134696]) ).
tcf(c_139719,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk8)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139622,c_134696]) ).
tcf(c_139723,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk8)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139621,c_134696]) ).
tcf(c_139727,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk8)
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139620,c_112795,c_134696]) ).
tcf(c_139730,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139619,c_112798,c_134696]) ).
tcf(c_139733,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139618,c_112801,c_134696]) ).
tcf(c_139736,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk8)
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139617,c_89535,c_134696]) ).
tcf(c_139739,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139616,c_89538,c_134696]) ).
tcf(c_139742,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139615,c_89541,c_134696]) ).
tcf(c_139745,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk8)
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139614,c_79220,c_134696]) ).
tcf(c_139748,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139613,c_79223,c_134696]) ).
tcf(c_139751,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139612,c_79226,c_134696]) ).
tcf(c_139754,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139639,c_134696]) ).
tcf(c_139760,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139610,c_134696]) ).
tcf(c_139765,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139609,c_134696]) ).
tcf(c_139770,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,cons(sk6,app(sk8,sk7))),X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(sk6,app(sk8,sk7))),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139600,c_134696]) ).
tcf(c_139775,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk8)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139599,c_134696]) ).
tcf(c_139918,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk8)),X0),skaf45(app(sk8,app(sk4,sk8)),sk8))
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8))
| ~ ssList(app(app(sk8,skaf45(app(sk8,app(sk4,sk8)),sk8)),X0)) ),
inference(superposition,[status(thm)],[c_124708,c_420]) ).
tcf(c_139919,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8))
| ( app(X0,skaf45(app(sk8,app(sk4,sk8)),sk8)) != app(sk8,app(sk4,sk8)) ) ),
inference(superposition,[status(thm)],[c_124708,c_398]) ).
tcf(c_139921,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf45(app(sk8,app(sk4,sk8)),sk8),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_124708,c_405]) ).
tcf(c_139922,plain,
( ( skaf45(app(sk8,app(sk4,sk8)),sk8) = nil )
| ~ ssList(sk8)
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8))
| ( app(sk8,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_124708,c_366]) ).
tcf(c_139923,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8))
| ( app(sk8,app(sk4,sk8)) != nil ) ),
inference(superposition,[status(thm)],[c_124708,c_365]) ).
tcf(c_139925,plain,
( rearsegP(app(sk8,app(sk4,sk8)),skaf45(app(sk8,app(sk4,sk8)),sk8))
| ~ ssList(sk8)
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_124708,c_807]) ).
tcf(c_139926,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8))
| ~ memberP(skaf45(app(sk8,app(sk4,sk8)),sk8),X0) ),
inference(superposition,[status(thm)],[c_124708,c_388]) ).
tcf(c_139927,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8))
| ~ rearsegP(skaf45(app(sk8,app(sk4,sk8)),sk8),X0) ),
inference(superposition,[status(thm)],[c_124708,c_383]) ).
tcf(c_139928,plain,
! [X0: $i] :
( ( skaf45(app(sk8,app(sk4,sk8)),sk8) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8))
| ( app(sk8,app(sk4,sk8)) != app(sk8,X0) ) ),
inference(superposition,[status(thm)],[c_124708,c_397]) ).
tcf(c_139929,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_124708,c_387]) ).
tcf(c_139930,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ frontsegP(sk8,X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_124708,c_384]) ).
tcf(c_139931,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk8)),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8))
| ~ segmentP(skaf45(app(sk8,app(sk4,sk8)),sk8),X0) ),
inference(superposition,[status(thm)],[c_124708,c_419]) ).
tcf(c_139932,plain,
( ( skaf45(app(sk8,app(sk4,sk8)),sk8) = nil )
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8))
| ( app(sk8,app(sk4,sk8)) != sk8 ) ),
inference(superposition,[status(thm)],[c_124708,c_17070]) ).
tcf(c_139933,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk8)
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8))
| ~ ssList(app(sk8,skaf45(app(sk8,app(sk4,sk8)),sk8))) ),
inference(superposition,[status(thm)],[c_124708,c_20764]) ).
tcf(c_139934,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_124708,c_20305]) ).
tcf(c_139935,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_124708,c_20285]) ).
tcf(c_139936,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139935,c_298]) ).
tcf(c_139940,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139934,c_298]) ).
tcf(c_139944,plain,
rearsegP(app(sk8,app(sk4,sk8)),skaf45(app(sk8,app(sk4,sk8)),sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_139925,c_6482,c_298]) ).
tcf(c_139946,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ frontsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139930,c_6482,c_298]) ).
tcf(c_139951,plain,
( segmentP(app(sk8,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8)) ),
inference(light_normalisation,[status(thm)],[c_139933,c_124708]) ).
tcf(c_139952,plain,
segmentP(app(sk8,app(sk4,sk8)),sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_139951,c_112795,c_298]) ).
tcf(c_139953,plain,
( ( skaf45(app(sk8,app(sk4,sk8)),sk8) = nil )
| ( app(sk8,app(sk4,sk8)) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139932,c_298]) ).
tcf(c_139956,plain,
( ( skaf45(app(sk8,app(sk4,sk8)),sk8) = nil )
| ( app(sk8,app(sk4,sk8)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139922,c_6482,c_298]) ).
tcf(c_139959,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk8)),X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(app(sk8,app(sk4,sk8)),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139927,c_6482,c_298]) ).
tcf(c_139963,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk8)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(app(sk8,app(sk4,sk8)),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139926,c_6482,c_298]) ).
tcf(c_139967,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf45(app(sk8,app(sk4,sk8)),sk8),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk8,app(sk4,sk8)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139921,c_6482,c_298]) ).
tcf(c_139972,plain,
! [X0: $i] :
( ( skaf45(app(sk8,app(sk4,sk8)),sk8) = X0 )
| ~ ssList(X0)
| ( app(sk8,app(sk4,sk8)) != app(sk8,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139928,c_6482,c_298]) ).
tcf(c_139976,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ( app(X0,skaf45(app(sk8,app(sk4,sk8)),sk8)) != app(sk8,app(sk4,sk8)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139919,c_6482,c_298]) ).
tcf(c_139980,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk8)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(app(sk8,app(sk4,sk8)),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139931,c_6482,c_298]) ).
tcf(c_139985,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk8)),X0),skaf45(app(sk8,app(sk4,sk8)),sk8))
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8))
| ~ ssList(app(app(sk8,app(sk4,sk8)),X0)) ),
inference(light_normalisation,[status(thm)],[c_139918,c_124708]) ).
tcf(c_139986,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk8)),X0),skaf45(app(sk8,app(sk4,sk8)),sk8))
| ~ ssList(X0)
| ~ ssList(app(app(sk8,app(sk4,sk8)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139985,c_6482,c_298]) ).
tcf(c_140004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf66(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf66(X1)))
| ~ ssList(skaf82(skaf66(X1)))
| ~ leq(X2,skaf83(skaf66(X1)))
| ~ leq(skaf83(skaf66(X1)),X2)
| ~ ssList(app(app(X0,skaf66(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf66(X1)),skaf82(skaf66(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10997,c_432]) ).
tcf(c_140005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf66(X1)))
| leq(skaf83(skaf66(X1)),X2)
| ( skaf66(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf66(X1)))
| ~ ssList(skaf82(skaf66(X1)))
| ~ ssList(app(app(X0,skaf66(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf66(X1)),skaf82(skaf66(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10997,c_431]) ).
tcf(c_140006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf66(X1)))
| lt(skaf83(skaf66(X1)),X2)
| ( skaf66(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf66(X1)))
| ~ ssList(skaf82(skaf66(X1)))
| ~ ssList(app(app(X0,skaf66(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf66(X1)),skaf82(skaf66(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10997,c_430]) ).
tcf(c_140007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf66(X1)),X2)
| ( skaf66(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf66(X1)))
| ~ ssList(skaf82(skaf66(X1)))
| ~ ssList(app(app(X0,skaf66(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf66(X1)),skaf82(skaf66(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10997,c_429]) ).
tcf(c_140008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf66(X1)),X2)
| ( skaf66(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf66(X1)))
| ~ ssList(skaf82(skaf66(X1)))
| ~ ssList(app(app(X0,skaf66(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf66(X1)),skaf82(skaf66(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10997,c_428]) ).
tcf(c_140009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf66(X1)))
| ~ ssList(skaf82(skaf66(X1)))
| ~ ssList(app(app(X0,skaf66(X1)),cons(skaf83(skaf66(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf66(X1)),skaf82(skaf66(X1)))),cons(skaf83(skaf66(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10997,c_426]) ).
tcf(c_140010,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf66(X1)),skaf83(skaf66(X1)))
| ( skaf66(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf66(X1)))
| ~ ssList(skaf82(skaf66(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf66(X1)),skaf82(skaf66(X1))))) ),
inference(superposition,[status(thm)],[c_10997,c_422]) ).
tcf(c_140011,plain,
! [X0: $i] :
( memberP(skaf66(X0),skaf83(skaf66(X0)))
| ( skaf66(X0) = nil )
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10997,c_385]) ).
tcf(c_140013,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( skaf82(skaf66(X0)) = nil )
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0)))
| ( skaf66(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10997,c_21847]) ).
tcf(c_140014,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( skaf82(skaf66(X0)) = nil )
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0)))
| ( skaf66(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10997,c_21842]) ).
tcf(c_140015,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( skaf83(skaf66(X0)) = sk5 )
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0)))
| ( skaf66(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10997,c_21750]) ).
tcf(c_140016,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( skaf83(skaf66(X0)) = sk6 )
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0)))
| ( skaf66(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10997,c_21745]) ).
tcf(c_140017,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( skaf83(skaf66(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf66(X0))
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10997,c_21595]) ).
tcf(c_140018,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( skaf83(skaf66(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf66(X0))
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10997,c_21590]) ).
tcf(c_140019,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( skaf83(skaf66(X0)) = sk5 )
| ~ frontsegP(skaf66(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10997,c_21585]) ).
tcf(c_140020,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( skaf83(skaf66(X0)) = sk6 )
| ~ frontsegP(skaf66(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10997,c_21580]) ).
tcf(c_140021,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf66(X0)))
| ( skaf66(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf66(X0))
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10997,c_21202]) ).
tcf(c_140022,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf66(X0)))
| ( skaf66(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf66(X0))
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10997,c_21197]) ).
tcf(c_140025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X0) = nil )
| ( skaf83(skaf66(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0)))
| ~ frontsegP(skaf66(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10997,c_423]) ).
tcf(c_140026,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf66(X0)),X2)
| ( skaf66(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0)))
| ~ frontsegP(skaf66(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10997,c_421]) ).
tcf(c_140027,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf66(X0)),X1)
| ( skaf66(X0) = nil )
| ( skaf83(skaf66(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0)))
| ~ memberP(skaf66(X0),X1) ),
inference(superposition,[status(thm)],[c_10997,c_408]) ).
tcf(c_140028,plain,
! [X0: $i] :
( leq(skaf83(skaf66(X0)),hd(skaf82(skaf66(X0))))
| ( skaf66(X0) = nil )
| ( skaf82(skaf66(X0)) = nil )
| ~ totalorderedP(skaf66(X0))
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10997,c_382]) ).
tcf(c_140029,plain,
! [X0: $i] :
( lt(skaf83(skaf66(X0)),hd(skaf82(skaf66(X0))))
| ( skaf66(X0) = nil )
| ( skaf82(skaf66(X0)) = nil )
| ~ strictorderedP(skaf66(X0))
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10997,c_381]) ).
tcf(c_140030,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf66(X0)))
| ( skaf66(X0) = nil )
| ( skaf82(skaf66(X0)) = nil )
| ~ totalorderedP(skaf66(X0))
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10997,c_372]) ).
tcf(c_140031,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf66(X0)))
| ( skaf66(X0) = nil )
| ( skaf82(skaf66(X0)) = nil )
| ~ strictorderedP(skaf66(X0))
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0))) ),
inference(superposition,[status(thm)],[c_10997,c_371]) ).
tcf(c_140032,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0)))
| ( skaf82(skaf66(X0)) != skaf66(X0) ) ),
inference(superposition,[status(thm)],[c_10997,c_346]) ).
tcf(c_140034,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf66(X1)),X0),skaf66(X1))
| ( skaf66(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf66(X1)))
| ~ ssList(skaf82(skaf66(X1)))
| ~ frontsegP(X0,skaf82(skaf66(X1))) ),
inference(superposition,[status(thm)],[c_10997,c_425]) ).
tcf(c_140035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X2) = nil )
| ( skaf83(skaf66(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf66(X2)))
| ~ ssList(skaf82(skaf66(X2)))
| ~ ssList(app(X0,cons(X1,skaf66(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf66(X2)),skaf82(skaf66(X2)))))) ),
inference(superposition,[status(thm)],[c_10997,c_427]) ).
tcf(c_140036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X2) = nil )
| ( skaf82(skaf66(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf66(X2)))
| ~ ssList(skaf82(skaf66(X2)))
| ( cons(X0,X1) != skaf66(X2) ) ),
inference(superposition,[status(thm)],[c_10997,c_418]) ).
tcf(c_140037,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X2) = nil )
| ( skaf83(skaf66(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf66(X2)))
| ~ ssList(skaf82(skaf66(X2)))
| ( cons(X0,X1) != skaf66(X2) ) ),
inference(superposition,[status(thm)],[c_10997,c_417]) ).
tcf(c_140038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X2) = nil )
| ( skaf83(skaf66(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf66(X2)))
| ~ ssList(skaf82(skaf66(X2)))
| ~ frontsegP(cons(X0,X1),skaf66(X2)) ),
inference(superposition,[status(thm)],[c_10997,c_423]) ).
tcf(c_140039,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf66(X2)))
| ( skaf66(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf66(X2)))
| ~ ssList(skaf82(skaf66(X2)))
| ~ frontsegP(cons(X0,X1),skaf66(X2)) ),
inference(superposition,[status(thm)],[c_10997,c_421]) ).
tcf(c_140040,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf66(X0),cons(skaf83(skaf66(X0)),X1))
| ( skaf66(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0)))
| ~ frontsegP(skaf82(skaf66(X0)),X1) ),
inference(superposition,[status(thm)],[c_10997,c_425]) ).
tcf(c_140041,plain,
! [X0: $i,X1: $i] :
( memberP(skaf66(X0),X1)
| ( skaf66(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf66(X0)))
| ~ ssList(skaf82(skaf66(X0)))
| ~ memberP(skaf82(skaf66(X0)),X1) ),
inference(superposition,[status(thm)],[c_10997,c_386]) ).
tcf(c_140042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf66(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf66(X3)))
| ~ ssList(skaf82(skaf66(X3)))
| ~ leq(X1,skaf83(skaf66(X3)))
| ~ leq(skaf83(skaf66(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf66(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf66(X3)),skaf82(skaf66(X3))))) ),
inference(superposition,[status(thm)],[c_10997,c_432]) ).
tcf(c_140043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf66(X3)))
| leq(skaf83(skaf66(X3)),X1)
| ( skaf66(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf66(X3)))
| ~ ssList(skaf82(skaf66(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf66(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf66(X3)),skaf82(skaf66(X3))))) ),
inference(superposition,[status(thm)],[c_10997,c_431]) ).
tcf(c_140044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf66(X3)))
| lt(skaf83(skaf66(X3)),X1)
| ( skaf66(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf66(X3)))
| ~ ssList(skaf82(skaf66(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf66(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf66(X3)),skaf82(skaf66(X3))))) ),
inference(superposition,[status(thm)],[c_10997,c_430]) ).
tcf(c_140045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf66(X3)))
| ( skaf66(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf66(X3)))
| ~ ssList(skaf82(skaf66(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf66(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf66(X3)),skaf82(skaf66(X3))))) ),
inference(superposition,[status(thm)],[c_10997,c_429]) ).
tcf(c_140046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf66(X3)))
| ( skaf66(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf66(X3)))
| ~ ssList(skaf82(skaf66(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf66(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf66(X3)),skaf82(skaf66(X3))))) ),
inference(superposition,[status(thm)],[c_10997,c_428]) ).
tcf(c_140047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf66(X1)))
| ~ ssList(skaf82(skaf66(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf66(X1)),X2)),skaf66(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf66(X1)),X2)),cons(skaf83(skaf66(X1)),skaf82(skaf66(X1))))) ),
inference(superposition,[status(thm)],[c_10997,c_426]) ).
tcf(c_140048,plain,
! [X0: $i] :
( memberP(skaf66(X0),skaf83(skaf66(X0)))
| ( skaf66(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140011,c_259,c_260]) ).
tcf(c_140051,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( skaf82(skaf66(X0)) != skaf66(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140032,c_259,c_260]) ).
tcf(c_140054,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf66(X0)))
| ( skaf66(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf66(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140022,c_259,c_260]) ).
tcf(c_140058,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf66(X0)))
| ( skaf66(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf66(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140021,c_259,c_260]) ).
tcf(c_140062,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( skaf83(skaf66(X0)) = sk6 )
| ~ frontsegP(skaf66(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140020,c_259,c_260]) ).
tcf(c_140066,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( skaf83(skaf66(X0)) = sk5 )
| ~ frontsegP(skaf66(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140019,c_259,c_260]) ).
tcf(c_140070,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( skaf83(skaf66(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf66(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140018,c_259,c_260]) ).
tcf(c_140074,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( skaf83(skaf66(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf66(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140017,c_259,c_260]) ).
tcf(c_140078,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( skaf83(skaf66(X0)) = sk6 )
| ( skaf66(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140016,c_259,c_260]) ).
tcf(c_140082,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( skaf83(skaf66(X0)) = sk5 )
| ( skaf66(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140015,c_259,c_260]) ).
tcf(c_140086,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( skaf82(skaf66(X0)) = nil )
| ( skaf66(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140014,c_259,c_260]) ).
tcf(c_140090,plain,
! [X0: $i] :
( ( skaf66(X0) = nil )
| ( skaf82(skaf66(X0)) = nil )
| ( skaf66(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140013,c_259,c_260]) ).
tcf(c_140094,plain,
! [X0: $i,X1: $i] :
( memberP(skaf66(X0),X1)
| ( skaf66(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf66(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140041,c_259,c_260]) ).
tcf(c_140099,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf66(X0)))
| ( skaf66(X0) = nil )
| ( skaf82(skaf66(X0)) = nil )
| ~ strictorderedP(skaf66(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140031,c_259,c_260]) ).
tcf(c_140104,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf66(X0)))
| ( skaf66(X0) = nil )
| ( skaf82(skaf66(X0)) = nil )
| ~ totalorderedP(skaf66(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140030,c_259,c_260]) ).
tcf(c_140109,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf66(X0),cons(skaf83(skaf66(X0)),X1))
| ( skaf66(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf66(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140040,c_259,c_260]) ).
tcf(c_140114,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf66(X1)),X0),skaf66(X1))
| ( skaf66(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf66(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140034,c_259,c_260]) ).
tcf(c_140119,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf66(X2)))
| ( skaf66(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf66(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140039,c_259,c_260]) ).
tcf(c_140125,plain,
! [X0: $i] :
( lt(skaf83(skaf66(X0)),hd(skaf82(skaf66(X0))))
| ( skaf66(X0) = nil )
| ( skaf82(skaf66(X0)) = nil )
| ~ strictorderedP(skaf66(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140029,c_259,c_260]) ).
tcf(c_140130,plain,
! [X0: $i] :
( leq(skaf83(skaf66(X0)),hd(skaf82(skaf66(X0))))
| ( skaf66(X0) = nil )
| ( skaf82(skaf66(X0)) = nil )
| ~ totalorderedP(skaf66(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140028,c_259,c_260]) ).
tcf(c_140135,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf66(X0)),X2)
| ( skaf66(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf66(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140026,c_259,c_260]) ).
tcf(c_140141,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X2) = nil )
| ( skaf83(skaf66(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf66(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140038,c_259,c_260]) ).
tcf(c_140147,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf66(X0)),X1)
| ( skaf66(X0) = nil )
| ( skaf83(skaf66(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf66(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140027,c_259,c_260]) ).
tcf(c_140153,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X0) = nil )
| ( skaf83(skaf66(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf66(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140025,c_259,c_260]) ).
tcf(c_140159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X2) = nil )
| ( skaf83(skaf66(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf66(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140037,c_259,c_260]) ).
tcf(c_140165,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X2) = nil )
| ( skaf82(skaf66(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf66(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140036,c_259,c_260]) ).
tcf(c_140171,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf66(X1)),skaf83(skaf66(X1)))
| ( skaf66(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf66(X1)),skaf82(skaf66(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140010,c_259,c_260]) ).
tcf(c_140176,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X2) = nil )
| ( skaf83(skaf66(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf66(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf66(X2)),skaf82(skaf66(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140035,c_259,c_260]) ).
tcf(c_140183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf66(X1)),X2)),skaf66(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf66(X1)),X2)),cons(skaf83(skaf66(X1)),skaf82(skaf66(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140047,c_259,c_260]) ).
tcf(c_140189,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf66(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf66(X1)),cons(skaf83(skaf66(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf66(X1)),skaf82(skaf66(X1)))),cons(skaf83(skaf66(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140009,c_259,c_260]) ).
tcf(c_140195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf66(X3)))
| ( skaf66(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf66(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf66(X3)),skaf82(skaf66(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140046,c_259,c_260]) ).
tcf(c_140203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf66(X3)))
| ( skaf66(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf66(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf66(X3)),skaf82(skaf66(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140045,c_259,c_260]) ).
tcf(c_140211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf66(X1)),X2)
| ( skaf66(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf66(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf66(X1)),skaf82(skaf66(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140008,c_259,c_260]) ).
tcf(c_140219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf66(X1)),X2)
| ( skaf66(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf66(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf66(X1)),skaf82(skaf66(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140007,c_259,c_260]) ).
tcf(c_140227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf66(X3)))
| lt(skaf83(skaf66(X3)),X1)
| ( skaf66(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf66(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf66(X3)),skaf82(skaf66(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140044,c_259,c_260]) ).
tcf(c_140236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf66(X3)))
| leq(skaf83(skaf66(X3)),X1)
| ( skaf66(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf66(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf66(X3)),skaf82(skaf66(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140043,c_259,c_260]) ).
tcf(c_140245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf66(X1)))
| lt(skaf83(skaf66(X1)),X2)
| ( skaf66(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf66(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf66(X1)),skaf82(skaf66(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140006,c_259,c_260]) ).
tcf(c_140254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf66(X1)))
| leq(skaf83(skaf66(X1)),X2)
| ( skaf66(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf66(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf66(X1)),skaf82(skaf66(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140005,c_259,c_260]) ).
tcf(c_140263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf66(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf66(X3)))
| ~ leq(skaf83(skaf66(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf66(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf66(X3)),skaf82(skaf66(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140042,c_259,c_260]) ).
tcf(c_140272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf66(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf66(X1)))
| ~ leq(skaf83(skaf66(X1)),X2)
| ~ ssList(app(app(X0,skaf66(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf66(X1)),skaf82(skaf66(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140004,c_259,c_260]) ).
tcf(c_140441,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(X0,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139952,c_399]) ).
tcf(c_140442,plain,
( ( app(app(skaf47(app(sk8,app(sk4,sk8)),sk8),sk8),skaf48(sk8,app(sk8,app(sk4,sk8)))) = app(sk8,app(sk4,sk8)) )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139952,c_415]) ).
tcf(c_140443,plain,
( ( app(sk8,app(sk4,sk8)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139952,c_374]) ).
tcf(c_140444,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(X0)
| ~ segmentP(X0,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140441,c_6482,c_112795]) ).
tcf(c_140448,plain,
( ( app(sk8,app(sk4,sk8)) = sk8 )
| ~ segmentP(sk8,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140443,c_6482,c_112795]) ).
tcf(c_140451,plain,
app(app(skaf47(app(sk8,app(sk4,sk8)),sk8),sk8),skaf48(sk8,app(sk8,app(sk4,sk8)))) = app(sk8,app(sk4,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_140442,c_6482,c_112795]) ).
tcf(c_140463,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_14,cons(sk5,sk4))))
| ( app(iPr_def_14,cons(sk5,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(app(iPr_def_14,cons(sk5,sk4)))
| ~ ssList(app(iPr_def_14,cons(sk5,sk4))) ),
inference(superposition,[status(thm)],[c_111538,c_407]) ).
tcf(c_140464,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_14,cons(sk5,sk4))))
| ( app(iPr_def_14,cons(sk5,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(app(iPr_def_14,cons(sk5,sk4)))
| ~ ssList(app(iPr_def_14,cons(sk5,sk4))) ),
inference(superposition,[status(thm)],[c_111538,c_406]) ).
tcf(c_140575,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_14,cons(sk6,sk4))))
| ( app(iPr_def_14,cons(sk6,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(app(iPr_def_14,cons(sk6,sk4)))
| ~ ssList(app(iPr_def_14,cons(sk6,sk4))) ),
inference(superposition,[status(thm)],[c_111539,c_407]) ).
tcf(c_140576,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_14,cons(sk6,sk4))))
| ( app(iPr_def_14,cons(sk6,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(app(iPr_def_14,cons(sk6,sk4)))
| ~ ssList(app(iPr_def_14,cons(sk6,sk4))) ),
inference(superposition,[status(thm)],[c_111539,c_406]) ).
tcf(c_140592,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_14,cons(sk6,sk7))))
| ( app(iPr_def_14,cons(sk6,sk7)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(app(iPr_def_14,cons(sk6,sk7)))
| ~ ssList(app(iPr_def_14,cons(sk6,sk7))) ),
inference(superposition,[status(thm)],[c_111540,c_407]) ).
tcf(c_140593,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_14,cons(sk6,sk7))))
| ( app(iPr_def_14,cons(sk6,sk7)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(app(iPr_def_14,cons(sk6,sk7)))
| ~ ssList(app(iPr_def_14,cons(sk6,sk7))) ),
inference(superposition,[status(thm)],[c_111540,c_406]) ).
tcf(c_140609,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk8,app(sk4,sk8)),sk8))
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk8)))
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_139944,c_400]) ).
tcf(c_140610,plain,
( ( app(skaf46(app(sk8,app(sk4,sk8)),skaf45(app(sk8,app(sk4,sk8)),sk8)),skaf45(app(sk8,app(sk4,sk8)),sk8)) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8)) ),
inference(superposition,[status(thm)],[c_139944,c_378]) ).
tcf(c_140611,plain,
( ( skaf45(app(sk8,app(sk4,sk8)),sk8) = app(sk8,app(sk4,sk8)) )
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(skaf45(app(sk8,app(sk4,sk8)),sk8))
| ~ rearsegP(skaf45(app(sk8,app(sk4,sk8)),sk8),app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139944,c_375]) ).
tcf(c_140612,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk8,app(sk4,sk8)),sk8))
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140609,c_112795,c_298]) ).
tcf(c_140616,plain,
( ( skaf45(app(sk8,app(sk4,sk8)),sk8) = app(sk8,app(sk4,sk8)) )
| ~ rearsegP(skaf45(app(sk8,app(sk4,sk8)),sk8),app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140611,c_112795,c_298]) ).
tcf(c_140619,plain,
app(skaf46(app(sk8,app(sk4,sk8)),skaf45(app(sk8,app(sk4,sk8)),sk8)),skaf45(app(sk8,app(sk4,sk8)),sk8)) = app(sk8,app(sk4,sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_140610,c_112795,c_298]) ).
tcf(c_140635,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk8,X1)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_401]) ).
tcf(c_140636,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk8,app(sk4,sk8)),X0)) = app(sk8,app(sk4,sk8)) )
| ~ ssList(X0)
| ~ frontsegP(sk8,X0)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_379]) ).
tcf(c_140637,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk8)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk8,X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_376]) ).
tcf(c_140638,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_15594]) ).
tcf(c_140639,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_28779]) ).
tcf(c_140640,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_26336]) ).
tcf(c_140641,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk8,cons(sk6,sk4))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_75356]) ).
tcf(c_140642,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk8,cons(sk6,sk4))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_75336]) ).
tcf(c_140643,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk8,cons(sk6,sk4))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_75316]) ).
tcf(c_140644,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk8,cons(sk6,sk7))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_84010]) ).
tcf(c_140645,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk8,cons(sk6,sk7))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_83991]) ).
tcf(c_140646,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk8,cons(sk6,sk7))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_82977]) ).
tcf(c_140647,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk8,cons(sk6,sk8))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_84849]) ).
tcf(c_140648,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk8,cons(sk6,sk8))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_84050]) ).
tcf(c_140649,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk8,cons(sk6,sk8))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_84030]) ).
tcf(c_140650,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(sk8,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_139946,c_92800]) ).
tcf(c_140651,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk8,app(sk4,sk4))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_89322]) ).
tcf(c_140652,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(sk8,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_139946,c_91606]) ).
tcf(c_140653,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(sk8,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_91570]) ).
tcf(c_140654,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_139946,c_115687]) ).
tcf(c_140655,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(sk8,app(sk7,sk4))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_112396]) ).
tcf(c_140656,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_139946,c_115675]) ).
tcf(c_140657,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_114631]) ).
tcf(c_140662,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk8,cons(sk5,sk4))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_108921]) ).
tcf(c_140663,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk8,cons(sk5,sk4))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_107545]) ).
tcf(c_140664,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk8,cons(sk5,sk4))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_107525]) ).
tcf(c_140665,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(sk8,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140640,c_9020,c_112795]) ).
tcf(c_140668,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(sk8,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140639,c_24748,c_112795]) ).
tcf(c_140671,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(sk8,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140638,c_9527,c_112795]) ).
tcf(c_140674,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(sk8,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140655,c_89458,c_112795]) ).
tcf(c_140677,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140651,c_79152,c_112795]) ).
tcf(c_140680,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk8,X1)
| ~ frontsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140635,c_112795]) ).
tcf(c_140686,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(sk8,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140664,c_66402,c_112795]) ).
tcf(c_140690,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(sk8,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140663,c_66402,c_112795]) ).
tcf(c_140694,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(sk8,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140662,c_66402,c_112795]) ).
tcf(c_140698,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140657,c_112795,c_89535]) ).
tcf(c_140701,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140656,c_112795,c_89538]) ).
tcf(c_140704,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140654,c_112795,c_89541]) ).
tcf(c_140707,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ frontsegP(sk8,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140653,c_112795,c_79220]) ).
tcf(c_140710,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ frontsegP(sk8,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140652,c_112795,c_79223]) ).
tcf(c_140713,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk4)
| ~ frontsegP(sk8,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140650,c_112795,c_79226]) ).
tcf(c_140716,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk8,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140649,c_28938,c_112795]) ).
tcf(c_140720,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk8,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140648,c_28938,c_112795]) ).
tcf(c_140724,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk8,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140647,c_28938,c_112795]) ).
tcf(c_140728,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk8,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140646,c_28940,c_112795]) ).
tcf(c_140732,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk8,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140645,c_28940,c_112795]) ).
tcf(c_140736,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk8,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140644,c_28940,c_112795]) ).
tcf(c_140740,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk8,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140643,c_28942,c_112795]) ).
tcf(c_140744,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk8,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140642,c_28942,c_112795]) ).
tcf(c_140748,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk8,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140641,c_28942,c_112795]) ).
tcf(c_140752,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk8)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk8,X0)
| ~ frontsegP(X0,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140637,c_112795]) ).
tcf(c_140757,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk8,app(sk4,sk8)),X0)) = app(sk8,app(sk4,sk8)) )
| ~ ssList(X0)
| ~ frontsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140636,c_112795]) ).
tcf(c_140842,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk8)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_419,c_140444]) ).
tcf(c_140843,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,app(sk8,app(sk4,sk8))),X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(app(X0,app(sk8,app(sk4,sk8))),X1)) ),
inference(superposition,[status(thm)],[c_420,c_140444]) ).
tcf(c_140844,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(iPr_def_12,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_20331,c_140444]) ).
tcf(c_140846,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(nil,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_20315,c_140444]) ).
tcf(c_140847,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_20295,c_140444]) ).
tcf(c_140848,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(nil,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_20310,c_140444]) ).
tcf(c_140849,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_20290,c_140444]) ).
tcf(c_140852,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_36763,c_140444]) ).
tcf(c_140853,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_36958,c_140444]) ).
tcf(c_140854,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_37047,c_140444]) ).
tcf(c_140855,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_38396,c_140444]) ).
tcf(c_140856,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_38769,c_140444]) ).
tcf(c_140857,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_39419,c_140444]) ).
tcf(c_140858,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_41217,c_140444]) ).
tcf(c_140859,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_41665,c_140444]) ).
tcf(c_140860,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_42055,c_140444]) ).
tcf(c_140861,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_43065,c_140444]) ).
tcf(c_140862,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_43810,c_140444]) ).
tcf(c_140864,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_46269,c_140444]) ).
tcf(c_140865,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_46627,c_140444]) ).
tcf(c_140866,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_46935,c_140444]) ).
tcf(c_140867,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_49501,c_140444]) ).
tcf(c_140868,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_50076,c_140444]) ).
tcf(c_140869,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_50639,c_140444]) ).
tcf(c_140870,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_52483,c_140444]) ).
tcf(c_140871,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_53190,c_140444]) ).
tcf(c_140872,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk8)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_53742,c_140444]) ).
tcf(c_140873,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_57364,c_140444]) ).
tcf(c_140874,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_57774,c_140444]) ).
tcf(c_140875,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_58149,c_140444]) ).
tcf(c_140876,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_59837,c_140444]) ).
tcf(c_140877,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_60305,c_140444]) ).
tcf(c_140878,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_60713,c_140444]) ).
tcf(c_140882,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_66437,c_140444]) ).
tcf(c_140883,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68224,c_140444]) ).
tcf(c_140884,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_68531,c_140444]) ).
tcf(c_140886,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_77726,c_140444]) ).
tcf(c_140887,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_124773,c_140444]) ).
tcf(c_140888,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_132982,c_140444]) ).
tcf(c_140889,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_134163,c_140444]) ).
tcf(c_140891,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140849,c_112795]) ).
tcf(c_140896,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(nil,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140848,c_112795]) ).
tcf(c_140901,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140847,c_112795]) ).
tcf(c_140906,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(nil,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140846,c_112795]) ).
tcf(c_140911,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(iPr_def_12,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140844,c_112795]) ).
tcf(c_140916,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk8)
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140889,c_112795,c_134161]) ).
tcf(c_140919,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140888,c_112795,c_132980]) ).
tcf(c_140922,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140887,c_112795,c_124771]) ).
tcf(c_140925,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140886,c_112795,c_66447]) ).
tcf(c_140928,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk8)
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140884,c_112795,c_68529]) ).
tcf(c_140931,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140883,c_112795,c_68222]) ).
tcf(c_140940,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk8)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140872,c_112795]) ).
tcf(c_140944,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140871,c_112795]) ).
tcf(c_140948,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140870,c_112795]) ).
tcf(c_140952,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk8)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140869,c_112795]) ).
tcf(c_140956,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk8)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140868,c_112795]) ).
tcf(c_140960,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk8)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140867,c_112795]) ).
tcf(c_140964,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk8)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140866,c_112795]) ).
tcf(c_140968,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk8)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140865,c_112795]) ).
tcf(c_140972,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk8)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140864,c_112795]) ).
tcf(c_140976,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140862,c_112795,c_112798]) ).
tcf(c_140979,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140861,c_112795,c_112801]) ).
tcf(c_140982,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140860,c_112795,c_89535]) ).
tcf(c_140985,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140859,c_112795,c_89538]) ).
tcf(c_140988,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140858,c_112795,c_89541]) ).
tcf(c_140991,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140857,c_112795,c_79220]) ).
tcf(c_140994,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140856,c_112795,c_79223]) ).
tcf(c_140997,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140855,c_112795,c_79226]) ).
tcf(c_141000,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140882,c_112795]) ).
tcf(c_141006,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140853,c_112795]) ).
tcf(c_141011,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140852,c_112795]) ).
tcf(c_141016,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,app(sk8,app(sk4,sk8))),X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,app(sk8,app(sk4,sk8))),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140843,c_112795]) ).
tcf(c_141021,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk8)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140842,c_112795]) ).
tcf(c_141090,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk7)),X0),skaf45(app(sk8,app(sk4,sk7)),sk8))
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8))
| ~ ssList(app(app(sk8,skaf45(app(sk8,app(sk4,sk7)),sk8)),X0)) ),
inference(superposition,[status(thm)],[c_124720,c_420]) ).
tcf(c_141091,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8))
| ( app(X0,skaf45(app(sk8,app(sk4,sk7)),sk8)) != app(sk8,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_124720,c_398]) ).
tcf(c_141093,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf45(app(sk8,app(sk4,sk7)),sk8),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8)) ),
inference(superposition,[status(thm)],[c_124720,c_405]) ).
tcf(c_141094,plain,
( ( skaf45(app(sk8,app(sk4,sk7)),sk8) = nil )
| ~ ssList(sk8)
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8))
| ( app(sk8,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_124720,c_366]) ).
tcf(c_141095,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8))
| ( app(sk8,app(sk4,sk7)) != nil ) ),
inference(superposition,[status(thm)],[c_124720,c_365]) ).
tcf(c_141097,plain,
( rearsegP(app(sk8,app(sk4,sk7)),skaf45(app(sk8,app(sk4,sk7)),sk8))
| ~ ssList(sk8)
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8)) ),
inference(superposition,[status(thm)],[c_124720,c_807]) ).
tcf(c_141098,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8))
| ~ memberP(skaf45(app(sk8,app(sk4,sk7)),sk8),X0) ),
inference(superposition,[status(thm)],[c_124720,c_388]) ).
tcf(c_141099,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8))
| ~ rearsegP(skaf45(app(sk8,app(sk4,sk7)),sk8),X0) ),
inference(superposition,[status(thm)],[c_124720,c_383]) ).
tcf(c_141100,plain,
! [X0: $i] :
( ( skaf45(app(sk8,app(sk4,sk7)),sk8) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8))
| ( app(sk8,app(sk4,sk7)) != app(sk8,X0) ) ),
inference(superposition,[status(thm)],[c_124720,c_397]) ).
tcf(c_141101,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8)) ),
inference(superposition,[status(thm)],[c_124720,c_387]) ).
tcf(c_141102,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ frontsegP(sk8,X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8)) ),
inference(superposition,[status(thm)],[c_124720,c_384]) ).
tcf(c_141103,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk7)),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8))
| ~ segmentP(skaf45(app(sk8,app(sk4,sk7)),sk8),X0) ),
inference(superposition,[status(thm)],[c_124720,c_419]) ).
tcf(c_141104,plain,
( ( skaf45(app(sk8,app(sk4,sk7)),sk8) = nil )
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8))
| ( app(sk8,app(sk4,sk7)) != sk8 ) ),
inference(superposition,[status(thm)],[c_124720,c_17070]) ).
tcf(c_141105,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk8)
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8))
| ~ ssList(app(sk8,skaf45(app(sk8,app(sk4,sk7)),sk8))) ),
inference(superposition,[status(thm)],[c_124720,c_20764]) ).
tcf(c_141106,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8)) ),
inference(superposition,[status(thm)],[c_124720,c_20305]) ).
tcf(c_141107,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8)) ),
inference(superposition,[status(thm)],[c_124720,c_20285]) ).
tcf(c_141108,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141107,c_298]) ).
tcf(c_141112,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141106,c_298]) ).
tcf(c_141116,plain,
rearsegP(app(sk8,app(sk4,sk7)),skaf45(app(sk8,app(sk4,sk7)),sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_141097,c_6482,c_298]) ).
tcf(c_141117,plain,
( ( sk8 = nil )
| ( app(sk8,app(sk4,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141095,c_6482,c_298]) ).
tcf(c_141120,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ frontsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141102,c_6482,c_298]) ).
tcf(c_141124,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141101,c_6482,c_298]) ).
tcf(c_141128,plain,
( segmentP(app(sk8,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8)) ),
inference(light_normalisation,[status(thm)],[c_141105,c_124720]) ).
tcf(c_141129,plain,
segmentP(app(sk8,app(sk4,sk7)),sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_141128,c_112798,c_298]) ).
tcf(c_141130,plain,
( ( skaf45(app(sk8,app(sk4,sk7)),sk8) = nil )
| ( app(sk8,app(sk4,sk7)) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141104,c_298]) ).
tcf(c_141133,plain,
( ( skaf45(app(sk8,app(sk4,sk7)),sk8) = nil )
| ( app(sk8,app(sk4,sk7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141094,c_6482,c_298]) ).
tcf(c_141136,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(app(sk8,app(sk4,sk7)),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141099,c_6482,c_298]) ).
tcf(c_141140,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(app(sk8,app(sk4,sk7)),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141098,c_6482,c_298]) ).
tcf(c_141144,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf45(app(sk8,app(sk4,sk7)),sk8),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk8,app(sk4,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141093,c_6482,c_298]) ).
tcf(c_141149,plain,
! [X0: $i] :
( ( skaf45(app(sk8,app(sk4,sk7)),sk8) = X0 )
| ~ ssList(X0)
| ( app(sk8,app(sk4,sk7)) != app(sk8,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141100,c_6482,c_298]) ).
tcf(c_141153,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ( app(X0,skaf45(app(sk8,app(sk4,sk7)),sk8)) != app(sk8,app(sk4,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141091,c_6482,c_298]) ).
tcf(c_141157,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(app(sk8,app(sk4,sk7)),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141103,c_6482,c_298]) ).
tcf(c_141162,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk7)),X0),skaf45(app(sk8,app(sk4,sk7)),sk8))
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8))
| ~ ssList(app(app(sk8,app(sk4,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_141090,c_124720]) ).
tcf(c_141163,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk7)),X0),skaf45(app(sk8,app(sk4,sk7)),sk8))
| ~ ssList(X0)
| ~ ssList(app(app(sk8,app(sk4,sk7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141162,c_6482,c_298]) ).
tcf(c_141254,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk8,app(sk4,sk7)),sk8))
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk7)))
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8)) ),
inference(superposition,[status(thm)],[c_141116,c_400]) ).
tcf(c_141255,plain,
( ( app(skaf46(app(sk8,app(sk4,sk7)),skaf45(app(sk8,app(sk4,sk7)),sk8)),skaf45(app(sk8,app(sk4,sk7)),sk8)) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8)) ),
inference(superposition,[status(thm)],[c_141116,c_378]) ).
tcf(c_141256,plain,
( ( skaf45(app(sk8,app(sk4,sk7)),sk8) = app(sk8,app(sk4,sk7)) )
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(skaf45(app(sk8,app(sk4,sk7)),sk8))
| ~ rearsegP(skaf45(app(sk8,app(sk4,sk7)),sk8),app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141116,c_375]) ).
tcf(c_141257,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk8,app(sk4,sk7)),sk8))
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141254,c_112798,c_298]) ).
tcf(c_141261,plain,
( ( skaf45(app(sk8,app(sk4,sk7)),sk8) = app(sk8,app(sk4,sk7)) )
| ~ rearsegP(skaf45(app(sk8,app(sk4,sk7)),sk8),app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141256,c_112798,c_298]) ).
tcf(c_141264,plain,
app(skaf46(app(sk8,app(sk4,sk7)),skaf45(app(sk8,app(sk4,sk7)),sk8)),skaf45(app(sk8,app(sk4,sk7)),sk8)) = app(sk8,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_141255,c_112798,c_298]) ).
tcf(c_141276,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk8,X1)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_401]) ).
tcf(c_141277,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk8,app(sk4,sk7)),X0)) = app(sk8,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ frontsegP(sk8,X0)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_379]) ).
tcf(c_141278,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk8,X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_376]) ).
tcf(c_141279,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_15594]) ).
tcf(c_141280,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_28779]) ).
tcf(c_141281,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_26336]) ).
tcf(c_141282,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk8,cons(sk6,sk4))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_75356]) ).
tcf(c_141283,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk8,cons(sk6,sk4))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_75336]) ).
tcf(c_141284,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk8,cons(sk6,sk4))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_75316]) ).
tcf(c_141285,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk8,cons(sk6,sk7))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_84010]) ).
tcf(c_141286,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk8,cons(sk6,sk7))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_83991]) ).
tcf(c_141287,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk8,cons(sk6,sk7))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_82977]) ).
tcf(c_141288,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk8,cons(sk6,sk8))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_84849]) ).
tcf(c_141289,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk8,cons(sk6,sk8))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_84050]) ).
tcf(c_141290,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk8,cons(sk6,sk8))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_84030]) ).
tcf(c_141291,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(sk8,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_141120,c_92800]) ).
tcf(c_141292,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk8,app(sk4,sk4))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_89322]) ).
tcf(c_141293,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(sk8,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_91606]) ).
tcf(c_141294,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(sk8,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_141120,c_91570]) ).
tcf(c_141295,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_141120,c_115687]) ).
tcf(c_141296,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(sk8,app(sk7,sk4))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_112396]) ).
tcf(c_141297,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_115675]) ).
tcf(c_141298,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_141120,c_114631]) ).
tcf(c_141303,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk8,cons(sk5,sk4))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_108921]) ).
tcf(c_141304,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk8,cons(sk5,sk4))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_107545]) ).
tcf(c_141305,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk8,cons(sk5,sk4))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_107525]) ).
tcf(c_141306,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141281,c_9020,c_112798]) ).
tcf(c_141309,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141280,c_24748,c_112798]) ).
tcf(c_141312,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141279,c_9527,c_112798]) ).
tcf(c_141315,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141296,c_89458,c_112798]) ).
tcf(c_141318,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141292,c_79152,c_112798]) ).
tcf(c_141321,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk8,X1)
| ~ frontsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141276,c_112798]) ).
tcf(c_141327,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(sk8,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141305,c_66402,c_112798]) ).
tcf(c_141331,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(sk8,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141304,c_66402,c_112798]) ).
tcf(c_141335,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(sk8,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141303,c_66402,c_112798]) ).
tcf(c_141339,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141298,c_112798,c_89535]) ).
tcf(c_141342,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141297,c_112798,c_89538]) ).
tcf(c_141345,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141295,c_112798,c_89541]) ).
tcf(c_141348,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ frontsegP(sk8,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141294,c_112798,c_79220]) ).
tcf(c_141351,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ frontsegP(sk8,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141293,c_112798,c_79223]) ).
tcf(c_141354,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk4)
| ~ frontsegP(sk8,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141291,c_112798,c_79226]) ).
tcf(c_141357,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk8,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141290,c_28938,c_112798]) ).
tcf(c_141361,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk8,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141289,c_28938,c_112798]) ).
tcf(c_141365,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk8,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141288,c_28938,c_112798]) ).
tcf(c_141369,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk8,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141287,c_28940,c_112798]) ).
tcf(c_141373,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk8,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141286,c_28940,c_112798]) ).
tcf(c_141377,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk8,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141285,c_28940,c_112798]) ).
tcf(c_141381,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk8,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141284,c_28942,c_112798]) ).
tcf(c_141385,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk8,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141283,c_28942,c_112798]) ).
tcf(c_141389,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk8,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141282,c_28942,c_112798]) ).
tcf(c_141393,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk8,X0)
| ~ frontsegP(X0,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141278,c_112798]) ).
tcf(c_141398,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk8,app(sk4,sk7)),X0)) = app(sk8,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ frontsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141277,c_112798]) ).
tcf(c_141558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf63(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf63(X1)))
| ~ ssList(skaf82(skaf63(X1)))
| ~ leq(X2,skaf83(skaf63(X1)))
| ~ leq(skaf83(skaf63(X1)),X2)
| ~ ssList(app(app(X0,skaf63(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf63(X1)),skaf82(skaf63(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10998,c_432]) ).
tcf(c_141559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf63(X1)))
| leq(skaf83(skaf63(X1)),X2)
| ( skaf63(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf63(X1)))
| ~ ssList(skaf82(skaf63(X1)))
| ~ ssList(app(app(X0,skaf63(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf63(X1)),skaf82(skaf63(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10998,c_431]) ).
tcf(c_141560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf63(X1)))
| lt(skaf83(skaf63(X1)),X2)
| ( skaf63(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf63(X1)))
| ~ ssList(skaf82(skaf63(X1)))
| ~ ssList(app(app(X0,skaf63(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf63(X1)),skaf82(skaf63(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10998,c_430]) ).
tcf(c_141561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf63(X1)),X2)
| ( skaf63(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf63(X1)))
| ~ ssList(skaf82(skaf63(X1)))
| ~ ssList(app(app(X0,skaf63(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf63(X1)),skaf82(skaf63(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10998,c_429]) ).
tcf(c_141562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf63(X1)),X2)
| ( skaf63(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf63(X1)))
| ~ ssList(skaf82(skaf63(X1)))
| ~ ssList(app(app(X0,skaf63(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf63(X1)),skaf82(skaf63(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10998,c_428]) ).
tcf(c_141563,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf63(X1)))
| ~ ssList(skaf82(skaf63(X1)))
| ~ ssList(app(app(X0,skaf63(X1)),cons(skaf83(skaf63(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf63(X1)),skaf82(skaf63(X1)))),cons(skaf83(skaf63(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10998,c_426]) ).
tcf(c_141564,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf63(X1)),skaf83(skaf63(X1)))
| ( skaf63(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf63(X1)))
| ~ ssList(skaf82(skaf63(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf63(X1)),skaf82(skaf63(X1))))) ),
inference(superposition,[status(thm)],[c_10998,c_422]) ).
tcf(c_141565,plain,
! [X0: $i] :
( memberP(skaf63(X0),skaf83(skaf63(X0)))
| ( skaf63(X0) = nil )
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10998,c_385]) ).
tcf(c_141567,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( skaf82(skaf63(X0)) = nil )
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0)))
| ( skaf63(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10998,c_21847]) ).
tcf(c_141568,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( skaf82(skaf63(X0)) = nil )
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0)))
| ( skaf63(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10998,c_21842]) ).
tcf(c_141569,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( skaf83(skaf63(X0)) = sk5 )
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0)))
| ( skaf63(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10998,c_21750]) ).
tcf(c_141570,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( skaf83(skaf63(X0)) = sk6 )
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0)))
| ( skaf63(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10998,c_21745]) ).
tcf(c_141571,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( skaf83(skaf63(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf63(X0))
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10998,c_21595]) ).
tcf(c_141572,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( skaf83(skaf63(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf63(X0))
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10998,c_21590]) ).
tcf(c_141573,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( skaf83(skaf63(X0)) = sk5 )
| ~ frontsegP(skaf63(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10998,c_21585]) ).
tcf(c_141574,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( skaf83(skaf63(X0)) = sk6 )
| ~ frontsegP(skaf63(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10998,c_21580]) ).
tcf(c_141575,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf63(X0)))
| ( skaf63(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf63(X0))
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10998,c_21202]) ).
tcf(c_141576,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf63(X0)))
| ( skaf63(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf63(X0))
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10998,c_21197]) ).
tcf(c_141579,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X0) = nil )
| ( skaf83(skaf63(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0)))
| ~ frontsegP(skaf63(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10998,c_423]) ).
tcf(c_141580,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf63(X0)),X2)
| ( skaf63(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0)))
| ~ frontsegP(skaf63(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10998,c_421]) ).
tcf(c_141581,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf63(X0)),X1)
| ( skaf63(X0) = nil )
| ( skaf83(skaf63(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0)))
| ~ memberP(skaf63(X0),X1) ),
inference(superposition,[status(thm)],[c_10998,c_408]) ).
tcf(c_141582,plain,
! [X0: $i] :
( leq(skaf83(skaf63(X0)),hd(skaf82(skaf63(X0))))
| ( skaf63(X0) = nil )
| ( skaf82(skaf63(X0)) = nil )
| ~ totalorderedP(skaf63(X0))
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10998,c_382]) ).
tcf(c_141583,plain,
! [X0: $i] :
( lt(skaf83(skaf63(X0)),hd(skaf82(skaf63(X0))))
| ( skaf63(X0) = nil )
| ( skaf82(skaf63(X0)) = nil )
| ~ strictorderedP(skaf63(X0))
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10998,c_381]) ).
tcf(c_141584,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf63(X0)))
| ( skaf63(X0) = nil )
| ( skaf82(skaf63(X0)) = nil )
| ~ totalorderedP(skaf63(X0))
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10998,c_372]) ).
tcf(c_141585,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf63(X0)))
| ( skaf63(X0) = nil )
| ( skaf82(skaf63(X0)) = nil )
| ~ strictorderedP(skaf63(X0))
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0))) ),
inference(superposition,[status(thm)],[c_10998,c_371]) ).
tcf(c_141586,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0)))
| ( skaf82(skaf63(X0)) != skaf63(X0) ) ),
inference(superposition,[status(thm)],[c_10998,c_346]) ).
tcf(c_141588,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf63(X1)),X0),skaf63(X1))
| ( skaf63(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf63(X1)))
| ~ ssList(skaf82(skaf63(X1)))
| ~ frontsegP(X0,skaf82(skaf63(X1))) ),
inference(superposition,[status(thm)],[c_10998,c_425]) ).
tcf(c_141589,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X2) = nil )
| ( skaf83(skaf63(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf63(X2)))
| ~ ssList(skaf82(skaf63(X2)))
| ~ ssList(app(X0,cons(X1,skaf63(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf63(X2)),skaf82(skaf63(X2)))))) ),
inference(superposition,[status(thm)],[c_10998,c_427]) ).
tcf(c_141590,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X2) = nil )
| ( skaf82(skaf63(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf63(X2)))
| ~ ssList(skaf82(skaf63(X2)))
| ( cons(X0,X1) != skaf63(X2) ) ),
inference(superposition,[status(thm)],[c_10998,c_418]) ).
tcf(c_141591,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X2) = nil )
| ( skaf83(skaf63(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf63(X2)))
| ~ ssList(skaf82(skaf63(X2)))
| ( cons(X0,X1) != skaf63(X2) ) ),
inference(superposition,[status(thm)],[c_10998,c_417]) ).
tcf(c_141592,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X2) = nil )
| ( skaf83(skaf63(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf63(X2)))
| ~ ssList(skaf82(skaf63(X2)))
| ~ frontsegP(cons(X0,X1),skaf63(X2)) ),
inference(superposition,[status(thm)],[c_10998,c_423]) ).
tcf(c_141593,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf63(X2)))
| ( skaf63(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf63(X2)))
| ~ ssList(skaf82(skaf63(X2)))
| ~ frontsegP(cons(X0,X1),skaf63(X2)) ),
inference(superposition,[status(thm)],[c_10998,c_421]) ).
tcf(c_141594,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf63(X0),cons(skaf83(skaf63(X0)),X1))
| ( skaf63(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0)))
| ~ frontsegP(skaf82(skaf63(X0)),X1) ),
inference(superposition,[status(thm)],[c_10998,c_425]) ).
tcf(c_141595,plain,
! [X0: $i,X1: $i] :
( memberP(skaf63(X0),X1)
| ( skaf63(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf63(X0)))
| ~ ssList(skaf82(skaf63(X0)))
| ~ memberP(skaf82(skaf63(X0)),X1) ),
inference(superposition,[status(thm)],[c_10998,c_386]) ).
tcf(c_141596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf63(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf63(X3)))
| ~ ssList(skaf82(skaf63(X3)))
| ~ leq(X1,skaf83(skaf63(X3)))
| ~ leq(skaf83(skaf63(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf63(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf63(X3)),skaf82(skaf63(X3))))) ),
inference(superposition,[status(thm)],[c_10998,c_432]) ).
tcf(c_141597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf63(X3)))
| leq(skaf83(skaf63(X3)),X1)
| ( skaf63(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf63(X3)))
| ~ ssList(skaf82(skaf63(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf63(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf63(X3)),skaf82(skaf63(X3))))) ),
inference(superposition,[status(thm)],[c_10998,c_431]) ).
tcf(c_141598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf63(X3)))
| lt(skaf83(skaf63(X3)),X1)
| ( skaf63(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf63(X3)))
| ~ ssList(skaf82(skaf63(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf63(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf63(X3)),skaf82(skaf63(X3))))) ),
inference(superposition,[status(thm)],[c_10998,c_430]) ).
tcf(c_141599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf63(X3)))
| ( skaf63(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf63(X3)))
| ~ ssList(skaf82(skaf63(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf63(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf63(X3)),skaf82(skaf63(X3))))) ),
inference(superposition,[status(thm)],[c_10998,c_429]) ).
tcf(c_141600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf63(X3)))
| ( skaf63(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf63(X3)))
| ~ ssList(skaf82(skaf63(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf63(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf63(X3)),skaf82(skaf63(X3))))) ),
inference(superposition,[status(thm)],[c_10998,c_428]) ).
tcf(c_141601,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf63(X1)))
| ~ ssList(skaf82(skaf63(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf63(X1)),X2)),skaf63(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf63(X1)),X2)),cons(skaf83(skaf63(X1)),skaf82(skaf63(X1))))) ),
inference(superposition,[status(thm)],[c_10998,c_426]) ).
tcf(c_141602,plain,
! [X0: $i] :
( memberP(skaf63(X0),skaf83(skaf63(X0)))
| ( skaf63(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141565,c_259,c_260]) ).
tcf(c_141605,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( skaf82(skaf63(X0)) != skaf63(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141586,c_259,c_260]) ).
tcf(c_141608,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf63(X0)))
| ( skaf63(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf63(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141576,c_259,c_260]) ).
tcf(c_141612,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf63(X0)))
| ( skaf63(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf63(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141575,c_259,c_260]) ).
tcf(c_141616,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( skaf83(skaf63(X0)) = sk6 )
| ~ frontsegP(skaf63(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141574,c_259,c_260]) ).
tcf(c_141620,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( skaf83(skaf63(X0)) = sk5 )
| ~ frontsegP(skaf63(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141573,c_259,c_260]) ).
tcf(c_141624,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( skaf83(skaf63(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf63(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141572,c_259,c_260]) ).
tcf(c_141628,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( skaf83(skaf63(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf63(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141571,c_259,c_260]) ).
tcf(c_141632,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( skaf83(skaf63(X0)) = sk6 )
| ( skaf63(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141570,c_259,c_260]) ).
tcf(c_141636,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( skaf83(skaf63(X0)) = sk5 )
| ( skaf63(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141569,c_259,c_260]) ).
tcf(c_141640,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( skaf82(skaf63(X0)) = nil )
| ( skaf63(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141568,c_259,c_260]) ).
tcf(c_141644,plain,
! [X0: $i] :
( ( skaf63(X0) = nil )
| ( skaf82(skaf63(X0)) = nil )
| ( skaf63(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141567,c_259,c_260]) ).
tcf(c_141648,plain,
! [X0: $i,X1: $i] :
( memberP(skaf63(X0),X1)
| ( skaf63(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf63(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141595,c_259,c_260]) ).
tcf(c_141653,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf63(X0)))
| ( skaf63(X0) = nil )
| ( skaf82(skaf63(X0)) = nil )
| ~ strictorderedP(skaf63(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141585,c_259,c_260]) ).
tcf(c_141658,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf63(X0)))
| ( skaf63(X0) = nil )
| ( skaf82(skaf63(X0)) = nil )
| ~ totalorderedP(skaf63(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141584,c_259,c_260]) ).
tcf(c_141663,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf63(X0),cons(skaf83(skaf63(X0)),X1))
| ( skaf63(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf63(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141594,c_259,c_260]) ).
tcf(c_141668,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf63(X1)),X0),skaf63(X1))
| ( skaf63(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf63(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141588,c_259,c_260]) ).
tcf(c_141673,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf63(X2)))
| ( skaf63(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf63(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141593,c_259,c_260]) ).
tcf(c_141679,plain,
! [X0: $i] :
( lt(skaf83(skaf63(X0)),hd(skaf82(skaf63(X0))))
| ( skaf63(X0) = nil )
| ( skaf82(skaf63(X0)) = nil )
| ~ strictorderedP(skaf63(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141583,c_259,c_260]) ).
tcf(c_141684,plain,
! [X0: $i] :
( leq(skaf83(skaf63(X0)),hd(skaf82(skaf63(X0))))
| ( skaf63(X0) = nil )
| ( skaf82(skaf63(X0)) = nil )
| ~ totalorderedP(skaf63(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141582,c_259,c_260]) ).
tcf(c_141689,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf63(X0)),X2)
| ( skaf63(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf63(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141580,c_259,c_260]) ).
tcf(c_141695,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X2) = nil )
| ( skaf83(skaf63(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf63(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141592,c_259,c_260]) ).
tcf(c_141701,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf63(X0)),X1)
| ( skaf63(X0) = nil )
| ( skaf83(skaf63(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf63(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141581,c_259,c_260]) ).
tcf(c_141707,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X0) = nil )
| ( skaf83(skaf63(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf63(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141579,c_259,c_260]) ).
tcf(c_141713,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X2) = nil )
| ( skaf83(skaf63(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf63(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141591,c_259,c_260]) ).
tcf(c_141719,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X2) = nil )
| ( skaf82(skaf63(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf63(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141590,c_259,c_260]) ).
tcf(c_141725,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf63(X1)),skaf83(skaf63(X1)))
| ( skaf63(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf63(X1)),skaf82(skaf63(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141564,c_259,c_260]) ).
tcf(c_141730,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X2) = nil )
| ( skaf83(skaf63(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf63(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf63(X2)),skaf82(skaf63(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141589,c_259,c_260]) ).
tcf(c_141737,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf63(X1)),X2)),skaf63(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf63(X1)),X2)),cons(skaf83(skaf63(X1)),skaf82(skaf63(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141601,c_259,c_260]) ).
tcf(c_141743,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf63(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf63(X1)),cons(skaf83(skaf63(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf63(X1)),skaf82(skaf63(X1)))),cons(skaf83(skaf63(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141563,c_259,c_260]) ).
tcf(c_141749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf63(X3)))
| ( skaf63(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf63(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf63(X3)),skaf82(skaf63(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141600,c_259,c_260]) ).
tcf(c_141757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf63(X3)))
| ( skaf63(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf63(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf63(X3)),skaf82(skaf63(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141599,c_259,c_260]) ).
tcf(c_141765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf63(X1)),X2)
| ( skaf63(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf63(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf63(X1)),skaf82(skaf63(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141562,c_259,c_260]) ).
tcf(c_141773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf63(X1)),X2)
| ( skaf63(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf63(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf63(X1)),skaf82(skaf63(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141561,c_259,c_260]) ).
tcf(c_141781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf63(X3)))
| lt(skaf83(skaf63(X3)),X1)
| ( skaf63(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf63(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf63(X3)),skaf82(skaf63(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141598,c_259,c_260]) ).
tcf(c_141790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf63(X3)))
| leq(skaf83(skaf63(X3)),X1)
| ( skaf63(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf63(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf63(X3)),skaf82(skaf63(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141597,c_259,c_260]) ).
tcf(c_141799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf63(X1)))
| lt(skaf83(skaf63(X1)),X2)
| ( skaf63(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf63(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf63(X1)),skaf82(skaf63(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141560,c_259,c_260]) ).
tcf(c_141808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf63(X1)))
| leq(skaf83(skaf63(X1)),X2)
| ( skaf63(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf63(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf63(X1)),skaf82(skaf63(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141559,c_259,c_260]) ).
tcf(c_141817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf63(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf63(X3)))
| ~ leq(skaf83(skaf63(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf63(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf63(X3)),skaf82(skaf63(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141596,c_259,c_260]) ).
tcf(c_141826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf63(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf63(X1)))
| ~ leq(skaf83(skaf63(X1)),X2)
| ~ ssList(app(app(X0,skaf63(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf63(X1)),skaf82(skaf63(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141558,c_259,c_260]) ).
tcf(c_141953,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(X0,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141129,c_399]) ).
tcf(c_141954,plain,
( ( app(app(skaf47(app(sk8,app(sk4,sk7)),sk8),sk8),skaf48(sk8,app(sk8,app(sk4,sk7)))) = app(sk8,app(sk4,sk7)) )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141129,c_415]) ).
tcf(c_141955,plain,
( ( app(sk8,app(sk4,sk7)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141129,c_374]) ).
tcf(c_141956,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(X0)
| ~ segmentP(X0,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141953,c_6482,c_112798]) ).
tcf(c_141960,plain,
( ( app(sk8,app(sk4,sk7)) = sk8 )
| ~ segmentP(sk8,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141955,c_6482,c_112798]) ).
tcf(c_141963,plain,
app(app(skaf47(app(sk8,app(sk4,sk7)),sk8),sk8),skaf48(sk8,app(sk8,app(sk4,sk7)))) = app(sk8,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_141954,c_6482,c_112798]) ).
tcf(c_141965,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_14,cons(sk6,sk8))))
| ( app(iPr_def_14,cons(sk6,sk8)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(app(iPr_def_14,cons(sk6,sk8)))
| ~ ssList(app(iPr_def_14,cons(sk6,sk8))) ),
inference(superposition,[status(thm)],[c_111541,c_407]) ).
tcf(c_141966,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_14,cons(sk6,sk8))))
| ( app(iPr_def_14,cons(sk6,sk8)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(app(iPr_def_14,cons(sk6,sk8)))
| ~ ssList(app(iPr_def_14,cons(sk6,sk8))) ),
inference(superposition,[status(thm)],[c_111541,c_406]) ).
tcf(c_141982,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_14,app(sk4,sk4))))
| ( app(iPr_def_14,app(sk4,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(app(iPr_def_14,app(sk4,sk4)))
| ~ ssList(app(iPr_def_14,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_111542,c_407]) ).
tcf(c_141983,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_14,app(sk4,sk4))))
| ( app(iPr_def_14,app(sk4,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(app(iPr_def_14,app(sk4,sk4)))
| ~ ssList(app(iPr_def_14,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_111542,c_406]) ).
tcf(c_141999,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_14,app(sk7,sk4))))
| ( app(iPr_def_14,app(sk7,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(app(iPr_def_14,app(sk7,sk4)))
| ~ ssList(app(iPr_def_14,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_111543,c_407]) ).
tcf(c_142000,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_14,app(sk7,sk4))))
| ( app(iPr_def_14,app(sk7,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(app(iPr_def_14,app(sk7,sk4)))
| ~ ssList(app(iPr_def_14,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_111543,c_406]) ).
tcf(c_142022,plain,
! [X0: $i] :
( ( app(skaf42(app(sk8,app(sk4,sk7)),X0),cons(X0,skaf43(X0,app(sk8,app(sk4,sk7))))) = app(sk8,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141124,c_416]) ).
tcf(c_142024,plain,
! [X0: $i] :
( ( app(skaf42(app(sk8,app(sk4,sk7)),X0),cons(X0,skaf43(X0,app(sk8,app(sk4,sk7))))) = app(sk8,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142022,c_112798]) ).
tcf(c_142036,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk8)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_419,c_141956]) ).
tcf(c_142037,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,app(sk8,app(sk4,sk7))),X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(app(X0,app(sk8,app(sk4,sk7))),X1)) ),
inference(superposition,[status(thm)],[c_420,c_141956]) ).
tcf(c_142038,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(iPr_def_12,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20331,c_141956]) ).
tcf(c_142040,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(nil,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20315,c_141956]) ).
tcf(c_142041,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20295,c_141956]) ).
tcf(c_142042,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(nil,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20310,c_141956]) ).
tcf(c_142043,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_20290,c_141956]) ).
tcf(c_142046,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_36763,c_141956]) ).
tcf(c_142047,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_36958,c_141956]) ).
tcf(c_142048,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_37047,c_141956]) ).
tcf(c_142049,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38396,c_141956]) ).
tcf(c_142050,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_38769,c_141956]) ).
tcf(c_142051,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_39419,c_141956]) ).
tcf(c_142052,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41217,c_141956]) ).
tcf(c_142053,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_41665,c_141956]) ).
tcf(c_142054,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_42055,c_141956]) ).
tcf(c_142055,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_43065,c_141956]) ).
tcf(c_142058,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_46269,c_141956]) ).
tcf(c_142059,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_46627,c_141956]) ).
tcf(c_142060,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_46935,c_141956]) ).
tcf(c_142061,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_49501,c_141956]) ).
tcf(c_142062,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_50076,c_141956]) ).
tcf(c_142063,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_50639,c_141956]) ).
tcf(c_142064,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_52483,c_141956]) ).
tcf(c_142065,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_53190,c_141956]) ).
tcf(c_142066,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk8)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_53742,c_141956]) ).
tcf(c_142067,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_57364,c_141956]) ).
tcf(c_142068,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_57774,c_141956]) ).
tcf(c_142069,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_58149,c_141956]) ).
tcf(c_142070,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_59837,c_141956]) ).
tcf(c_142071,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_60305,c_141956]) ).
tcf(c_142072,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_60713,c_141956]) ).
tcf(c_142076,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_66437,c_141956]) ).
tcf(c_142077,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68224,c_141956]) ).
tcf(c_142078,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_68531,c_141956]) ).
tcf(c_142080,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_77726,c_141956]) ).
tcf(c_142081,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124773,c_141956]) ).
tcf(c_142082,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_132982,c_141956]) ).
tcf(c_142083,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_134163,c_141956]) ).
tcf(c_142085,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142043,c_112798]) ).
tcf(c_142090,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(nil,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142042,c_112798]) ).
tcf(c_142095,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142041,c_112798]) ).
tcf(c_142100,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(nil,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142040,c_112798]) ).
tcf(c_142105,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(iPr_def_12,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142038,c_112798]) ).
tcf(c_142110,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk8)
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142083,c_112798,c_134161]) ).
tcf(c_142113,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142082,c_112798,c_132980]) ).
tcf(c_142116,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142081,c_112798,c_124771]) ).
tcf(c_142119,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142080,c_112798,c_66447]) ).
tcf(c_142122,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk8)
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142078,c_112798,c_68529]) ).
tcf(c_142125,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142077,c_112798,c_68222]) ).
tcf(c_142134,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk8)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142066,c_112798]) ).
tcf(c_142138,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142065,c_112798]) ).
tcf(c_142142,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142064,c_112798]) ).
tcf(c_142146,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk8)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142063,c_112798]) ).
tcf(c_142150,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk8)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142062,c_112798]) ).
tcf(c_142154,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk8)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142061,c_112798]) ).
tcf(c_142158,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk8)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142060,c_112798]) ).
tcf(c_142162,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk8)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142059,c_112798]) ).
tcf(c_142166,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk8)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142058,c_112798]) ).
tcf(c_142170,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142055,c_112798,c_112801]) ).
tcf(c_142173,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142054,c_112798,c_89535]) ).
tcf(c_142176,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142053,c_112798,c_89538]) ).
tcf(c_142179,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142052,c_112798,c_89541]) ).
tcf(c_142182,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142051,c_112798,c_79220]) ).
tcf(c_142185,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142050,c_112798,c_79223]) ).
tcf(c_142188,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142049,c_112798,c_79226]) ).
tcf(c_142191,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142076,c_112798]) ).
tcf(c_142197,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142047,c_112798]) ).
tcf(c_142202,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142046,c_112798]) ).
tcf(c_142207,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,app(sk8,app(sk4,sk7))),X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,app(sk8,app(sk4,sk7))),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142037,c_112798]) ).
tcf(c_142212,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk8)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142036,c_112798]) ).
tcf(c_142336,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk4)),X0),skaf45(app(sk8,app(sk4,sk4)),sk8))
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8))
| ~ ssList(app(app(sk8,skaf45(app(sk8,app(sk4,sk4)),sk8)),X0)) ),
inference(superposition,[status(thm)],[c_124732,c_420]) ).
tcf(c_142337,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8))
| ( app(X0,skaf45(app(sk8,app(sk4,sk4)),sk8)) != app(sk8,app(sk4,sk4)) ) ),
inference(superposition,[status(thm)],[c_124732,c_398]) ).
tcf(c_142339,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf45(app(sk8,app(sk4,sk4)),sk8),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8)) ),
inference(superposition,[status(thm)],[c_124732,c_405]) ).
tcf(c_142340,plain,
( ( skaf45(app(sk8,app(sk4,sk4)),sk8) = nil )
| ~ ssList(sk8)
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8))
| ( app(sk8,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_124732,c_366]) ).
tcf(c_142341,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8))
| ( app(sk8,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_124732,c_365]) ).
tcf(c_142343,plain,
( rearsegP(app(sk8,app(sk4,sk4)),skaf45(app(sk8,app(sk4,sk4)),sk8))
| ~ ssList(sk8)
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8)) ),
inference(superposition,[status(thm)],[c_124732,c_807]) ).
tcf(c_142344,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8))
| ~ memberP(skaf45(app(sk8,app(sk4,sk4)),sk8),X0) ),
inference(superposition,[status(thm)],[c_124732,c_388]) ).
tcf(c_142345,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8))
| ~ rearsegP(skaf45(app(sk8,app(sk4,sk4)),sk8),X0) ),
inference(superposition,[status(thm)],[c_124732,c_383]) ).
tcf(c_142346,plain,
! [X0: $i] :
( ( skaf45(app(sk8,app(sk4,sk4)),sk8) = X0 )
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8))
| ( app(sk8,app(sk4,sk4)) != app(sk8,X0) ) ),
inference(superposition,[status(thm)],[c_124732,c_397]) ).
tcf(c_142347,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8)) ),
inference(superposition,[status(thm)],[c_124732,c_387]) ).
tcf(c_142348,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ frontsegP(sk8,X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8)) ),
inference(superposition,[status(thm)],[c_124732,c_384]) ).
tcf(c_142349,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk4)),X1),X0)
| ~ ssList(sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8))
| ~ segmentP(skaf45(app(sk8,app(sk4,sk4)),sk8),X0) ),
inference(superposition,[status(thm)],[c_124732,c_419]) ).
tcf(c_142350,plain,
( ( skaf45(app(sk8,app(sk4,sk4)),sk8) = nil )
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8))
| ( app(sk8,app(sk4,sk4)) != sk8 ) ),
inference(superposition,[status(thm)],[c_124732,c_17070]) ).
tcf(c_142351,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk8)
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8))
| ~ ssList(app(sk8,skaf45(app(sk8,app(sk4,sk4)),sk8))) ),
inference(superposition,[status(thm)],[c_124732,c_20764]) ).
tcf(c_142352,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8)) ),
inference(superposition,[status(thm)],[c_124732,c_20305]) ).
tcf(c_142353,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8)) ),
inference(superposition,[status(thm)],[c_124732,c_20285]) ).
tcf(c_142354,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142353,c_298]) ).
tcf(c_142358,plain,
! [X0: $i] :
( segmentP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142352,c_298]) ).
tcf(c_142362,plain,
rearsegP(app(sk8,app(sk4,sk4)),skaf45(app(sk8,app(sk4,sk4)),sk8)),
inference(forward_subsumption_resolution,[status(thm)],[c_142343,c_6482,c_298]) ).
tcf(c_142363,plain,
( ( sk8 = nil )
| ( app(sk8,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142341,c_6482,c_298]) ).
tcf(c_142366,plain,
! [X0: $i] :
( frontsegP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ frontsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142348,c_6482,c_298]) ).
tcf(c_142370,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142347,c_6482,c_298]) ).
tcf(c_142374,plain,
( segmentP(app(sk8,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8)) ),
inference(light_normalisation,[status(thm)],[c_142351,c_124732]) ).
tcf(c_142375,plain,
segmentP(app(sk8,app(sk4,sk4)),sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_142374,c_112801,c_298]) ).
tcf(c_142376,plain,
( ( skaf45(app(sk8,app(sk4,sk4)),sk8) = nil )
| ( app(sk8,app(sk4,sk4)) != sk8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142350,c_298]) ).
tcf(c_142379,plain,
( ( skaf45(app(sk8,app(sk4,sk4)),sk8) = nil )
| ( app(sk8,app(sk4,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142340,c_6482,c_298]) ).
tcf(c_142382,plain,
! [X0: $i] :
( rearsegP(app(sk8,app(sk4,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(app(sk8,app(sk4,sk4)),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142345,c_6482,c_298]) ).
tcf(c_142386,plain,
! [X0: $i] :
( memberP(app(sk8,app(sk4,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(app(sk8,app(sk4,sk4)),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142344,c_6482,c_298]) ).
tcf(c_142390,plain,
! [X0: $i] :
( memberP(sk8,X0)
| memberP(skaf45(app(sk8,app(sk4,sk4)),sk8),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk8,app(sk4,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142339,c_6482,c_298]) ).
tcf(c_142395,plain,
! [X0: $i] :
( ( skaf45(app(sk8,app(sk4,sk4)),sk8) = X0 )
| ~ ssList(X0)
| ( app(sk8,app(sk4,sk4)) != app(sk8,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142346,c_6482,c_298]) ).
tcf(c_142399,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ( app(X0,skaf45(app(sk8,app(sk4,sk4)),sk8)) != app(sk8,app(sk4,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142337,c_6482,c_298]) ).
tcf(c_142403,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk8,app(sk4,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(app(sk8,app(sk4,sk4)),sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142349,c_6482,c_298]) ).
tcf(c_142408,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk4)),X0),skaf45(app(sk8,app(sk4,sk4)),sk8))
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8))
| ~ ssList(app(app(sk8,app(sk4,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_142336,c_124732]) ).
tcf(c_142409,plain,
! [X0: $i] :
( segmentP(app(app(sk8,app(sk4,sk4)),X0),skaf45(app(sk8,app(sk4,sk4)),sk8))
| ~ ssList(X0)
| ~ ssList(app(app(sk8,app(sk4,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142408,c_6482,c_298]) ).
tcf(c_142446,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk8,app(sk4,sk4)),sk8))
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ rearsegP(X0,app(sk8,app(sk4,sk4)))
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8)) ),
inference(superposition,[status(thm)],[c_142362,c_400]) ).
tcf(c_142447,plain,
( ( app(skaf46(app(sk8,app(sk4,sk4)),skaf45(app(sk8,app(sk4,sk4)),sk8)),skaf45(app(sk8,app(sk4,sk4)),sk8)) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8)) ),
inference(superposition,[status(thm)],[c_142362,c_378]) ).
tcf(c_142448,plain,
( ( skaf45(app(sk8,app(sk4,sk4)),sk8) = app(sk8,app(sk4,sk4)) )
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(skaf45(app(sk8,app(sk4,sk4)),sk8))
| ~ rearsegP(skaf45(app(sk8,app(sk4,sk4)),sk8),app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142362,c_375]) ).
tcf(c_142449,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk8,app(sk4,sk4)),sk8))
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142446,c_112801,c_298]) ).
tcf(c_142453,plain,
( ( skaf45(app(sk8,app(sk4,sk4)),sk8) = app(sk8,app(sk4,sk4)) )
| ~ rearsegP(skaf45(app(sk8,app(sk4,sk4)),sk8),app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142448,c_112801,c_298]) ).
tcf(c_142456,plain,
app(skaf46(app(sk8,app(sk4,sk4)),skaf45(app(sk8,app(sk4,sk4)),sk8)),skaf45(app(sk8,app(sk4,sk4)),sk8)) = app(sk8,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_142447,c_112801,c_298]) ).
tcf(c_142480,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk8,X1)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_401]) ).
tcf(c_142481,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk8,app(sk4,sk4)),X0)) = app(sk8,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ frontsegP(sk8,X0)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_379]) ).
tcf(c_142482,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk8,X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ frontsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_376]) ).
tcf(c_142483,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_15594]) ).
tcf(c_142484,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_28779]) ).
tcf(c_142485,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_26336]) ).
tcf(c_142486,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk8,cons(sk6,sk4))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_75356]) ).
tcf(c_142487,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk8,cons(sk6,sk4))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_75336]) ).
tcf(c_142488,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk8,cons(sk6,sk4))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_75316]) ).
tcf(c_142489,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk8,cons(sk6,sk7))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_84010]) ).
tcf(c_142490,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk8,cons(sk6,sk7))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_83991]) ).
tcf(c_142491,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk8,cons(sk6,sk7))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_82977]) ).
tcf(c_142492,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk8,cons(sk6,sk8))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_84849]) ).
tcf(c_142493,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk8,cons(sk6,sk8))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_84050]) ).
tcf(c_142494,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk8,cons(sk6,sk8))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_84030]) ).
tcf(c_142495,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk4)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ frontsegP(sk8,app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_92800]) ).
tcf(c_142496,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk4)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk8,app(sk4,sk4))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_89322]) ).
tcf(c_142497,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk4)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ frontsegP(sk8,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_142366,c_91606]) ).
tcf(c_142498,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk4)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ frontsegP(sk8,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_142366,c_91570]) ).
tcf(c_142499,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(sk8,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_115687]) ).
tcf(c_142500,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(app(sk7,sk4))
| ~ frontsegP(sk8,app(sk7,sk4))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_112396]) ).
tcf(c_142501,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(sk8,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_142366,c_115675]) ).
tcf(c_142502,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(sk8,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_142366,c_114631]) ).
tcf(c_142507,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk8,cons(sk5,sk4))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_108921]) ).
tcf(c_142508,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk8,cons(sk5,sk4))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_107545]) ).
tcf(c_142509,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk8,cons(sk5,sk4))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_107525]) ).
tcf(c_142510,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142485,c_9020,c_112801]) ).
tcf(c_142513,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142484,c_24748,c_112801]) ).
tcf(c_142516,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142483,c_9527,c_112801]) ).
tcf(c_142519,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142500,c_89458,c_112801]) ).
tcf(c_142522,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk4)
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142496,c_79152,c_112801]) ).
tcf(c_142525,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk8,X1)
| ~ frontsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142480,c_112801]) ).
tcf(c_142531,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(sk8,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142509,c_66402,c_112801]) ).
tcf(c_142535,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(sk8,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142508,c_66402,c_112801]) ).
tcf(c_142539,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(sk8,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142507,c_66402,c_112801]) ).
tcf(c_142543,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142502,c_112801,c_89535]) ).
tcf(c_142546,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142501,c_112801,c_89538]) ).
tcf(c_142549,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142499,c_112801,c_89541]) ).
tcf(c_142552,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk4)
| ~ frontsegP(sk8,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142498,c_112801,c_79220]) ).
tcf(c_142555,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk4)
| ~ frontsegP(sk8,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142497,c_112801,c_79223]) ).
tcf(c_142558,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk4)
| ~ frontsegP(sk8,app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142495,c_112801,c_79226]) ).
tcf(c_142561,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk8,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142494,c_28938,c_112801]) ).
tcf(c_142565,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk8,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142493,c_28938,c_112801]) ).
tcf(c_142569,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk8,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142492,c_28938,c_112801]) ).
tcf(c_142573,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk8,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142491,c_28940,c_112801]) ).
tcf(c_142577,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk8,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142490,c_28940,c_112801]) ).
tcf(c_142581,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk8,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142489,c_28940,c_112801]) ).
tcf(c_142585,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk8,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142488,c_28942,c_112801]) ).
tcf(c_142589,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk8,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142487,c_28942,c_112801]) ).
tcf(c_142593,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk8,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142486,c_28942,c_112801]) ).
tcf(c_142597,plain,
! [X0: $i] :
( ( app(sk8,app(sk4,sk4)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk8,X0)
| ~ frontsegP(X0,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142482,c_112801]) ).
tcf(c_142602,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk8,app(sk4,sk4)),X0)) = app(sk8,app(sk4,sk4)) )
| ~ ssList(X0)
| ~ frontsegP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142481,c_112801]) ).
tcf(c_142913,plain,
! [X0: $i] :
( ( app(skaf42(app(sk8,app(sk4,sk4)),X0),cons(X0,skaf43(X0,app(sk8,app(sk4,sk4))))) = app(sk8,app(sk4,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk8,X0)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142370,c_416]) ).
tcf(c_142915,plain,
! [X0: $i] :
( ( app(skaf42(app(sk8,app(sk4,sk4)),X0),cons(X0,skaf43(X0,app(sk8,app(sk4,sk4))))) = app(sk8,app(sk4,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142913,c_112801]) ).
tcf(c_142924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf62(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf62(X1)))
| ~ ssList(skaf82(skaf62(X1)))
| ~ leq(X2,skaf83(skaf62(X1)))
| ~ leq(skaf83(skaf62(X1)),X2)
| ~ ssList(app(app(X0,skaf62(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf62(X1)),skaf82(skaf62(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10999,c_432]) ).
tcf(c_142925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf62(X1)))
| leq(skaf83(skaf62(X1)),X2)
| ( skaf62(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf62(X1)))
| ~ ssList(skaf82(skaf62(X1)))
| ~ ssList(app(app(X0,skaf62(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf62(X1)),skaf82(skaf62(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10999,c_431]) ).
tcf(c_142926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf62(X1)))
| lt(skaf83(skaf62(X1)),X2)
| ( skaf62(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf62(X1)))
| ~ ssList(skaf82(skaf62(X1)))
| ~ ssList(app(app(X0,skaf62(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf62(X1)),skaf82(skaf62(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10999,c_430]) ).
tcf(c_142927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf62(X1)),X2)
| ( skaf62(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf62(X1)))
| ~ ssList(skaf82(skaf62(X1)))
| ~ ssList(app(app(X0,skaf62(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf62(X1)),skaf82(skaf62(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10999,c_429]) ).
tcf(c_142928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf62(X1)),X2)
| ( skaf62(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf62(X1)))
| ~ ssList(skaf82(skaf62(X1)))
| ~ ssList(app(app(X0,skaf62(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf62(X1)),skaf82(skaf62(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_10999,c_428]) ).
tcf(c_142929,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf62(X1)))
| ~ ssList(skaf82(skaf62(X1)))
| ~ ssList(app(app(X0,skaf62(X1)),cons(skaf83(skaf62(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf62(X1)),skaf82(skaf62(X1)))),cons(skaf83(skaf62(X1)),X2))) ),
inference(superposition,[status(thm)],[c_10999,c_426]) ).
tcf(c_142930,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf62(X1)),skaf83(skaf62(X1)))
| ( skaf62(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf62(X1)))
| ~ ssList(skaf82(skaf62(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf62(X1)),skaf82(skaf62(X1))))) ),
inference(superposition,[status(thm)],[c_10999,c_422]) ).
tcf(c_142931,plain,
! [X0: $i] :
( memberP(skaf62(X0),skaf83(skaf62(X0)))
| ( skaf62(X0) = nil )
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10999,c_385]) ).
tcf(c_142933,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( skaf82(skaf62(X0)) = nil )
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0)))
| ( skaf62(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10999,c_21847]) ).
tcf(c_142934,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( skaf82(skaf62(X0)) = nil )
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0)))
| ( skaf62(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10999,c_21842]) ).
tcf(c_142935,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( skaf83(skaf62(X0)) = sk5 )
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0)))
| ( skaf62(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10999,c_21750]) ).
tcf(c_142936,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( skaf83(skaf62(X0)) = sk6 )
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0)))
| ( skaf62(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10999,c_21745]) ).
tcf(c_142937,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( skaf83(skaf62(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf62(X0))
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10999,c_21595]) ).
tcf(c_142938,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( skaf83(skaf62(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf62(X0))
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10999,c_21590]) ).
tcf(c_142939,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( skaf83(skaf62(X0)) = sk5 )
| ~ frontsegP(skaf62(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10999,c_21585]) ).
tcf(c_142940,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( skaf83(skaf62(X0)) = sk6 )
| ~ frontsegP(skaf62(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10999,c_21580]) ).
tcf(c_142941,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf62(X0)))
| ( skaf62(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf62(X0))
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10999,c_21202]) ).
tcf(c_142942,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf62(X0)))
| ( skaf62(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf62(X0))
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10999,c_21197]) ).
tcf(c_142945,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X0) = nil )
| ( skaf83(skaf62(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0)))
| ~ frontsegP(skaf62(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10999,c_423]) ).
tcf(c_142946,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf62(X0)),X2)
| ( skaf62(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0)))
| ~ frontsegP(skaf62(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_10999,c_421]) ).
tcf(c_142947,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf62(X0)),X1)
| ( skaf62(X0) = nil )
| ( skaf83(skaf62(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0)))
| ~ memberP(skaf62(X0),X1) ),
inference(superposition,[status(thm)],[c_10999,c_408]) ).
tcf(c_142948,plain,
! [X0: $i] :
( leq(skaf83(skaf62(X0)),hd(skaf82(skaf62(X0))))
| ( skaf62(X0) = nil )
| ( skaf82(skaf62(X0)) = nil )
| ~ totalorderedP(skaf62(X0))
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10999,c_382]) ).
tcf(c_142949,plain,
! [X0: $i] :
( lt(skaf83(skaf62(X0)),hd(skaf82(skaf62(X0))))
| ( skaf62(X0) = nil )
| ( skaf82(skaf62(X0)) = nil )
| ~ strictorderedP(skaf62(X0))
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10999,c_381]) ).
tcf(c_142950,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf62(X0)))
| ( skaf62(X0) = nil )
| ( skaf82(skaf62(X0)) = nil )
| ~ totalorderedP(skaf62(X0))
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10999,c_372]) ).
tcf(c_142951,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf62(X0)))
| ( skaf62(X0) = nil )
| ( skaf82(skaf62(X0)) = nil )
| ~ strictorderedP(skaf62(X0))
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0))) ),
inference(superposition,[status(thm)],[c_10999,c_371]) ).
tcf(c_142952,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0)))
| ( skaf82(skaf62(X0)) != skaf62(X0) ) ),
inference(superposition,[status(thm)],[c_10999,c_346]) ).
tcf(c_142954,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf62(X1)),X0),skaf62(X1))
| ( skaf62(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf62(X1)))
| ~ ssList(skaf82(skaf62(X1)))
| ~ frontsegP(X0,skaf82(skaf62(X1))) ),
inference(superposition,[status(thm)],[c_10999,c_425]) ).
tcf(c_142955,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X2) = nil )
| ( skaf83(skaf62(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf62(X2)))
| ~ ssList(skaf82(skaf62(X2)))
| ~ ssList(app(X0,cons(X1,skaf62(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf62(X2)),skaf82(skaf62(X2)))))) ),
inference(superposition,[status(thm)],[c_10999,c_427]) ).
tcf(c_142956,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X2) = nil )
| ( skaf82(skaf62(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf62(X2)))
| ~ ssList(skaf82(skaf62(X2)))
| ( cons(X0,X1) != skaf62(X2) ) ),
inference(superposition,[status(thm)],[c_10999,c_418]) ).
tcf(c_142957,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X2) = nil )
| ( skaf83(skaf62(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf62(X2)))
| ~ ssList(skaf82(skaf62(X2)))
| ( cons(X0,X1) != skaf62(X2) ) ),
inference(superposition,[status(thm)],[c_10999,c_417]) ).
tcf(c_142958,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X2) = nil )
| ( skaf83(skaf62(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf62(X2)))
| ~ ssList(skaf82(skaf62(X2)))
| ~ frontsegP(cons(X0,X1),skaf62(X2)) ),
inference(superposition,[status(thm)],[c_10999,c_423]) ).
tcf(c_142959,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf62(X2)))
| ( skaf62(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf62(X2)))
| ~ ssList(skaf82(skaf62(X2)))
| ~ frontsegP(cons(X0,X1),skaf62(X2)) ),
inference(superposition,[status(thm)],[c_10999,c_421]) ).
tcf(c_142960,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf62(X0),cons(skaf83(skaf62(X0)),X1))
| ( skaf62(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0)))
| ~ frontsegP(skaf82(skaf62(X0)),X1) ),
inference(superposition,[status(thm)],[c_10999,c_425]) ).
tcf(c_142961,plain,
! [X0: $i,X1: $i] :
( memberP(skaf62(X0),X1)
| ( skaf62(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf62(X0)))
| ~ ssList(skaf82(skaf62(X0)))
| ~ memberP(skaf82(skaf62(X0)),X1) ),
inference(superposition,[status(thm)],[c_10999,c_386]) ).
tcf(c_142962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf62(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf62(X3)))
| ~ ssList(skaf82(skaf62(X3)))
| ~ leq(X1,skaf83(skaf62(X3)))
| ~ leq(skaf83(skaf62(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf62(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf62(X3)),skaf82(skaf62(X3))))) ),
inference(superposition,[status(thm)],[c_10999,c_432]) ).
tcf(c_142963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf62(X3)))
| leq(skaf83(skaf62(X3)),X1)
| ( skaf62(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf62(X3)))
| ~ ssList(skaf82(skaf62(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf62(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf62(X3)),skaf82(skaf62(X3))))) ),
inference(superposition,[status(thm)],[c_10999,c_431]) ).
tcf(c_142964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf62(X3)))
| lt(skaf83(skaf62(X3)),X1)
| ( skaf62(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf62(X3)))
| ~ ssList(skaf82(skaf62(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf62(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf62(X3)),skaf82(skaf62(X3))))) ),
inference(superposition,[status(thm)],[c_10999,c_430]) ).
tcf(c_142965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf62(X3)))
| ( skaf62(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf62(X3)))
| ~ ssList(skaf82(skaf62(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf62(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf62(X3)),skaf82(skaf62(X3))))) ),
inference(superposition,[status(thm)],[c_10999,c_429]) ).
tcf(c_142966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf62(X3)))
| ( skaf62(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf62(X3)))
| ~ ssList(skaf82(skaf62(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf62(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf62(X3)),skaf82(skaf62(X3))))) ),
inference(superposition,[status(thm)],[c_10999,c_428]) ).
tcf(c_142967,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf62(X1)))
| ~ ssList(skaf82(skaf62(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf62(X1)),X2)),skaf62(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf62(X1)),X2)),cons(skaf83(skaf62(X1)),skaf82(skaf62(X1))))) ),
inference(superposition,[status(thm)],[c_10999,c_426]) ).
tcf(c_142968,plain,
! [X0: $i] :
( memberP(skaf62(X0),skaf83(skaf62(X0)))
| ( skaf62(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142931,c_259,c_260]) ).
tcf(c_142971,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( skaf82(skaf62(X0)) != skaf62(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142952,c_259,c_260]) ).
tcf(c_142974,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf62(X0)))
| ( skaf62(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf62(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142942,c_259,c_260]) ).
tcf(c_142978,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf62(X0)))
| ( skaf62(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf62(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142941,c_259,c_260]) ).
tcf(c_142982,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( skaf83(skaf62(X0)) = sk6 )
| ~ frontsegP(skaf62(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142940,c_259,c_260]) ).
tcf(c_142986,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( skaf83(skaf62(X0)) = sk5 )
| ~ frontsegP(skaf62(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142939,c_259,c_260]) ).
tcf(c_142990,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( skaf83(skaf62(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf62(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142938,c_259,c_260]) ).
tcf(c_142994,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( skaf83(skaf62(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf62(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142937,c_259,c_260]) ).
tcf(c_142998,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( skaf83(skaf62(X0)) = sk6 )
| ( skaf62(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142936,c_259,c_260]) ).
tcf(c_143002,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( skaf83(skaf62(X0)) = sk5 )
| ( skaf62(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142935,c_259,c_260]) ).
tcf(c_143006,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( skaf82(skaf62(X0)) = nil )
| ( skaf62(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142934,c_259,c_260]) ).
tcf(c_143010,plain,
! [X0: $i] :
( ( skaf62(X0) = nil )
| ( skaf82(skaf62(X0)) = nil )
| ( skaf62(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142933,c_259,c_260]) ).
tcf(c_143014,plain,
! [X0: $i,X1: $i] :
( memberP(skaf62(X0),X1)
| ( skaf62(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf62(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142961,c_259,c_260]) ).
tcf(c_143019,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf62(X0)))
| ( skaf62(X0) = nil )
| ( skaf82(skaf62(X0)) = nil )
| ~ strictorderedP(skaf62(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142951,c_259,c_260]) ).
tcf(c_143024,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf62(X0)))
| ( skaf62(X0) = nil )
| ( skaf82(skaf62(X0)) = nil )
| ~ totalorderedP(skaf62(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142950,c_259,c_260]) ).
tcf(c_143029,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf62(X0),cons(skaf83(skaf62(X0)),X1))
| ( skaf62(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf62(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142960,c_259,c_260]) ).
tcf(c_143034,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf62(X1)),X0),skaf62(X1))
| ( skaf62(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf62(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142954,c_259,c_260]) ).
tcf(c_143039,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf62(X2)))
| ( skaf62(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf62(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142959,c_259,c_260]) ).
tcf(c_143045,plain,
! [X0: $i] :
( lt(skaf83(skaf62(X0)),hd(skaf82(skaf62(X0))))
| ( skaf62(X0) = nil )
| ( skaf82(skaf62(X0)) = nil )
| ~ strictorderedP(skaf62(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142949,c_259,c_260]) ).
tcf(c_143050,plain,
! [X0: $i] :
( leq(skaf83(skaf62(X0)),hd(skaf82(skaf62(X0))))
| ( skaf62(X0) = nil )
| ( skaf82(skaf62(X0)) = nil )
| ~ totalorderedP(skaf62(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142948,c_259,c_260]) ).
tcf(c_143055,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf62(X0)),X2)
| ( skaf62(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf62(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142946,c_259,c_260]) ).
tcf(c_143061,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X2) = nil )
| ( skaf83(skaf62(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf62(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142958,c_259,c_260]) ).
tcf(c_143067,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf62(X0)),X1)
| ( skaf62(X0) = nil )
| ( skaf83(skaf62(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf62(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142947,c_259,c_260]) ).
tcf(c_143073,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X0) = nil )
| ( skaf83(skaf62(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf62(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142945,c_259,c_260]) ).
tcf(c_143079,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X2) = nil )
| ( skaf83(skaf62(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf62(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142957,c_259,c_260]) ).
tcf(c_143085,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X2) = nil )
| ( skaf82(skaf62(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf62(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142956,c_259,c_260]) ).
tcf(c_143091,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf62(X1)),skaf83(skaf62(X1)))
| ( skaf62(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf62(X1)),skaf82(skaf62(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142930,c_259,c_260]) ).
tcf(c_143096,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X2) = nil )
| ( skaf83(skaf62(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf62(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf62(X2)),skaf82(skaf62(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142955,c_259,c_260]) ).
tcf(c_143103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf62(X1)),X2)),skaf62(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf62(X1)),X2)),cons(skaf83(skaf62(X1)),skaf82(skaf62(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142967,c_259,c_260]) ).
tcf(c_143109,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf62(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf62(X1)),cons(skaf83(skaf62(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf62(X1)),skaf82(skaf62(X1)))),cons(skaf83(skaf62(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142929,c_259,c_260]) ).
tcf(c_143115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf62(X3)))
| ( skaf62(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf62(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf62(X3)),skaf82(skaf62(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142966,c_259,c_260]) ).
tcf(c_143123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf62(X3)))
| ( skaf62(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf62(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf62(X3)),skaf82(skaf62(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142965,c_259,c_260]) ).
tcf(c_143131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf62(X1)),X2)
| ( skaf62(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf62(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf62(X1)),skaf82(skaf62(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142928,c_259,c_260]) ).
tcf(c_143139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf62(X1)),X2)
| ( skaf62(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf62(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf62(X1)),skaf82(skaf62(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142927,c_259,c_260]) ).
tcf(c_143147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf62(X3)))
| lt(skaf83(skaf62(X3)),X1)
| ( skaf62(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf62(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf62(X3)),skaf82(skaf62(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142964,c_259,c_260]) ).
tcf(c_143156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf62(X3)))
| leq(skaf83(skaf62(X3)),X1)
| ( skaf62(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf62(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf62(X3)),skaf82(skaf62(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142963,c_259,c_260]) ).
tcf(c_143165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf62(X1)))
| lt(skaf83(skaf62(X1)),X2)
| ( skaf62(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf62(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf62(X1)),skaf82(skaf62(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142926,c_259,c_260]) ).
tcf(c_143174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf62(X1)))
| leq(skaf83(skaf62(X1)),X2)
| ( skaf62(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf62(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf62(X1)),skaf82(skaf62(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142925,c_259,c_260]) ).
tcf(c_143183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf62(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf62(X3)))
| ~ leq(skaf83(skaf62(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf62(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf62(X3)),skaf82(skaf62(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142962,c_259,c_260]) ).
tcf(c_143192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf62(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf62(X1)))
| ~ leq(skaf83(skaf62(X1)),X2)
| ~ ssList(app(app(X0,skaf62(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf62(X1)),skaf82(skaf62(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142924,c_259,c_260]) ).
tcf(c_143313,plain,
! [X0: $i] : skaf46(skaf66(X0),nil) = skaf66(X0),
inference(demodulation,[status(thm)],[c_12978,c_9128]) ).
tcf(c_143316,plain,
! [X0: $i] :
( ( skaf46(skaf66(X0),nil) = nil )
| ( cons(hd(skaf66(X0)),tl(skaf66(X0))) = skaf66(X0) ) ),
inference(superposition,[status(thm)],[c_143313,c_10793]) ).
tcf(c_143332,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(X0,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142375,c_399]) ).
tcf(c_143333,plain,
( ( app(app(skaf47(app(sk8,app(sk4,sk4)),sk8),sk8),skaf48(sk8,app(sk8,app(sk4,sk4)))) = app(sk8,app(sk4,sk4)) )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142375,c_415]) ).
tcf(c_143334,plain,
( ( app(sk8,app(sk4,sk4)) = sk8 )
| ~ ssList(sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142375,c_374]) ).
tcf(c_143335,plain,
! [X0: $i] :
( segmentP(X0,sk8)
| ~ ssList(X0)
| ~ segmentP(X0,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143332,c_6482,c_112801]) ).
tcf(c_143339,plain,
( ( app(sk8,app(sk4,sk4)) = sk8 )
| ~ segmentP(sk8,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143334,c_6482,c_112801]) ).
tcf(c_143342,plain,
app(app(skaf47(app(sk8,app(sk4,sk4)),sk8),sk8),skaf48(sk8,app(sk8,app(sk4,sk4)))) = app(sk8,app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_143333,c_6482,c_112801]) ).
tcf(c_143433,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_14,app(sk8,sk4))))
| ( app(iPr_def_14,app(sk8,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(app(iPr_def_14,app(sk8,sk4)))
| ~ ssList(app(iPr_def_14,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_113312,c_407]) ).
tcf(c_143434,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_14,app(sk8,sk4))))
| ( app(iPr_def_14,app(sk8,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(app(iPr_def_14,app(sk8,sk4)))
| ~ ssList(app(iPr_def_14,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_113312,c_406]) ).
tcf(c_143450,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac2,app(sk8,sk4))))
| ( cons(skac2,app(sk8,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac2)
| ~ strictorderedP(cons(skac2,app(sk8,sk4)))
| ~ ssList(cons(skac2,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_113313,c_407]) ).
tcf(c_143451,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac2,app(sk8,sk4))))
| ( cons(skac2,app(sk8,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac2)
| ~ totalorderedP(cons(skac2,app(sk8,sk4)))
| ~ ssList(cons(skac2,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_113313,c_406]) ).
tcf(c_143467,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac3,app(sk8,sk4))))
| ( cons(skac3,app(sk8,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac3)
| ~ strictorderedP(cons(skac3,app(sk8,sk4)))
| ~ ssList(cons(skac3,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_113314,c_407]) ).
tcf(c_143468,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac3,app(sk8,sk4))))
| ( cons(skac3,app(sk8,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac3)
| ~ totalorderedP(cons(skac3,app(sk8,sk4)))
| ~ ssList(cons(skac3,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_113314,c_406]) ).
tcf(c_143491,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk8)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_419,c_143335]) ).
tcf(c_143492,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,app(sk8,app(sk4,sk4))),X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(app(X0,app(sk8,app(sk4,sk4))),X1)) ),
inference(superposition,[status(thm)],[c_420,c_143335]) ).
tcf(c_143493,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(iPr_def_12,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20331,c_143335]) ).
tcf(c_143495,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(nil,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20315,c_143335]) ).
tcf(c_143496,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20295,c_143335]) ).
tcf(c_143497,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(nil,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20310,c_143335]) ).
tcf(c_143498,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_20290,c_143335]) ).
tcf(c_143501,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_36763,c_143335]) ).
tcf(c_143502,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_36958,c_143335]) ).
tcf(c_143503,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk8),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(cons(sk6,sk8),X0))
| ~ segmentP(sk8,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_37047,c_143335]) ).
tcf(c_143504,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38396,c_143335]) ).
tcf(c_143505,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_38769,c_143335]) ).
tcf(c_143506,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_39419,c_143335]) ).
tcf(c_143507,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41217,c_143335]) ).
tcf(c_143508,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_41665,c_143335]) ).
tcf(c_143509,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_42055,c_143335]) ).
tcf(c_143513,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_46269,c_143335]) ).
tcf(c_143514,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_46627,c_143335]) ).
tcf(c_143515,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_46935,c_143335]) ).
tcf(c_143516,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_49501,c_143335]) ).
tcf(c_143517,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_50076,c_143335]) ).
tcf(c_143518,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_50639,c_143335]) ).
tcf(c_143519,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_52483,c_143335]) ).
tcf(c_143520,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_53190,c_143335]) ).
tcf(c_143521,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk8)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_53742,c_143335]) ).
tcf(c_143522,plain,
( segmentP(app(sk4,app(sk8,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_57364,c_143335]) ).
tcf(c_143523,plain,
( segmentP(app(sk4,app(sk8,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_57774,c_143335]) ).
tcf(c_143524,plain,
( segmentP(app(sk4,app(sk8,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk4,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_58149,c_143335]) ).
tcf(c_143525,plain,
( segmentP(app(sk7,app(sk8,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk8,sk4)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_59837,c_143335]) ).
tcf(c_143526,plain,
( segmentP(app(sk7,app(sk8,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk8,sk7)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_60305,c_143335]) ).
tcf(c_143527,plain,
( segmentP(app(sk7,app(sk8,sk8)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(sk7,app(sk8,sk8)))
| ~ segmentP(sk8,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_60713,c_143335]) ).
tcf(c_143531,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_66437,c_143335]) ).
tcf(c_143532,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68224,c_143335]) ).
tcf(c_143533,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_68531,c_143335]) ).
tcf(c_143535,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk4)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_77726,c_143335]) ).
tcf(c_143536,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_124773,c_143335]) ).
tcf(c_143537,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_132982,c_143335]) ).
tcf(c_143538,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134163,c_143335]) ).
tcf(c_143540,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143498,c_112801]) ).
tcf(c_143545,plain,
! [X0: $i] :
( segmentP(app(sk7,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk7,X0))
| ~ segmentP(nil,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143497,c_112801]) ).
tcf(c_143550,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143496,c_112801]) ).
tcf(c_143555,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ segmentP(nil,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143495,c_112801]) ).
tcf(c_143560,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0))
| ~ segmentP(iPr_def_12,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143493,c_112801]) ).
tcf(c_143565,plain,
( segmentP(cons(sk6,app(sk7,sk7)),sk8)
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143538,c_112801,c_134161]) ).
tcf(c_143568,plain,
( segmentP(cons(sk6,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143537,c_112801,c_132980]) ).
tcf(c_143571,plain,
( segmentP(cons(sk5,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143536,c_112801,c_124771]) ).
tcf(c_143574,plain,
( segmentP(cons(sk5,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143535,c_112801,c_66447]) ).
tcf(c_143577,plain,
( segmentP(cons(sk6,app(sk7,sk4)),sk8)
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143533,c_112801,c_68529]) ).
tcf(c_143580,plain,
( segmentP(cons(sk6,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143532,c_112801,c_68222]) ).
tcf(c_143589,plain,
( segmentP(app(sk8,app(sk7,sk8)),sk8)
| ~ ssList(app(sk8,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143521,c_112801]) ).
tcf(c_143593,plain,
( segmentP(app(sk8,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143520,c_112801]) ).
tcf(c_143597,plain,
( segmentP(app(sk8,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143519,c_112801]) ).
tcf(c_143601,plain,
( segmentP(app(sk7,app(sk7,sk8)),sk8)
| ~ ssList(app(sk7,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143518,c_112801]) ).
tcf(c_143605,plain,
( segmentP(app(sk7,app(sk7,sk7)),sk8)
| ~ ssList(app(sk7,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143517,c_112801]) ).
tcf(c_143609,plain,
( segmentP(app(sk7,app(sk7,sk4)),sk8)
| ~ ssList(app(sk7,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143516,c_112801]) ).
tcf(c_143613,plain,
( segmentP(app(sk4,app(sk7,sk8)),sk8)
| ~ ssList(app(sk4,app(sk7,sk8)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143515,c_112801]) ).
tcf(c_143617,plain,
( segmentP(app(sk4,app(sk7,sk7)),sk8)
| ~ ssList(app(sk4,app(sk7,sk7)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143514,c_112801]) ).
tcf(c_143621,plain,
( segmentP(app(sk4,app(sk7,sk4)),sk8)
| ~ ssList(app(sk4,app(sk7,sk4)))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143513,c_112801]) ).
tcf(c_143625,plain,
( segmentP(app(sk7,app(sk4,sk8)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143509,c_112801,c_89535]) ).
tcf(c_143628,plain,
( segmentP(app(sk7,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143508,c_112801,c_89538]) ).
tcf(c_143631,plain,
( segmentP(app(sk7,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143507,c_112801,c_89541]) ).
tcf(c_143634,plain,
( segmentP(app(sk4,app(sk4,sk8)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143506,c_112801,c_79220]) ).
tcf(c_143637,plain,
( segmentP(app(sk4,app(sk4,sk7)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143505,c_112801,c_79223]) ).
tcf(c_143640,plain,
( segmentP(app(sk4,app(sk4,sk4)),sk8)
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143504,c_112801,c_79226]) ).
tcf(c_143643,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk4),X0))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143531,c_112801]) ).
tcf(c_143649,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk7),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk7),X0))
| ~ segmentP(sk7,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143502,c_112801]) ).
tcf(c_143654,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,sk4),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk6,sk4),X0))
| ~ segmentP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143501,c_112801]) ).
tcf(c_143659,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(X0,app(sk8,app(sk4,sk4))),X1),sk8)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,app(sk8,app(sk4,sk4))),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143492,c_112801]) ).
tcf(c_143664,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X1,X0),X2),sk8)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143491,c_112801]) ).
tcf(c_143687,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(cons(sk5,sk4),X1)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(X0,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124798,c_401]) ).
tcf(c_143688,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk5,app(sk4,sk7)),X0)) = cons(sk5,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sk5,sk4),X0)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124798,c_379]) ).
tcf(c_143689,plain,
! [X0: $i] :
( ( cons(sk5,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sk5,sk4),X0)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(X0,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124798,c_376]) ).
tcf(c_143690,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk5 )
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk5,sk4),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_124798,c_423]) ).
tcf(c_143691,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sk4,sk7),X1)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk5,sk4),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_124798,c_421]) ).
tcf(c_143692,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(cons(sk5,sk4),iPr_def_13)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124798,c_15594]) ).
tcf(c_143693,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(cons(sk5,sk4),iPr_def_15)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124798,c_28779]) ).
tcf(c_143694,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(cons(sk5,sk4),iPr_def_16)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124798,c_26336]) ).
tcf(c_143696,plain,
( ( sk5 = sk6 )
| ~ ssItem(sk5)
| ~ ssList(iPr_def_14)
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(cons(sk5,sk4),iPr_def_14) ),
inference(superposition,[status(thm)],[c_124798,c_21580]) ).
tcf(c_143697,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_124798,c_75356]) ).
tcf(c_143698,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_124798,c_75336]) ).
tcf(c_143699,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_124798,c_75316]) ).
tcf(c_143700,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_124798,c_84010]) ).
tcf(c_143701,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_124798,c_83991]) ).
tcf(c_143702,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_124798,c_82977]) ).
tcf(c_143703,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_124798,c_84849]) ).
tcf(c_143704,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_124798,c_84050]) ).
tcf(c_143705,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(cons(sk6,sk8))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_124798,c_84030]) ).
tcf(c_143706,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_124798,c_92800]) ).
tcf(c_143707,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_124798,c_89322]) ).
tcf(c_143708,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124798,c_91606]) ).
tcf(c_143709,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_124798,c_91570]) ).
tcf(c_143710,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_124798,c_115687]) ).
tcf(c_143711,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_124798,c_112396]) ).
tcf(c_143712,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124798,c_115675]) ).
tcf(c_143713,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_124798,c_114631]) ).
tcf(c_143714,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_124798,c_124725]) ).
tcf(c_143715,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_124798,c_122728]) ).
tcf(c_143716,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124798,c_124713]) ).
tcf(c_143717,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_124798,c_124701]) ).
tcf(c_143721,plain,
( ~ ssList(app(sk4,sk7))
| ~ frontsegP(cons(sk5,sk4),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143696,c_6481,c_6485,c_9488]) ).
tcf(c_143724,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(cons(sk5,sk4),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143694,c_9020,c_124771]) ).
tcf(c_143727,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(cons(sk5,sk4),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143693,c_24748,c_124771]) ).
tcf(c_143730,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(cons(sk5,sk4),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143692,c_9527,c_124771]) ).
tcf(c_143733,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ frontsegP(cons(sk5,sk4),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143715,c_112727,c_124771]) ).
tcf(c_143736,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(cons(sk5,sk4),app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143711,c_89458,c_124771]) ).
tcf(c_143739,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ frontsegP(cons(sk5,sk4),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143707,c_79152,c_124771]) ).
tcf(c_143742,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(cons(sk5,sk4),X1)
| ~ frontsegP(X0,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143687,c_124771]) ).
tcf(c_143748,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ frontsegP(cons(sk5,sk4),app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143717,c_112795,c_124771]) ).
tcf(c_143751,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ frontsegP(cons(sk5,sk4),app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143716,c_112798,c_124771]) ).
tcf(c_143754,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk8)
| ~ frontsegP(cons(sk5,sk4),app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143714,c_112801,c_124771]) ).
tcf(c_143757,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(cons(sk5,sk4),app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143713,c_89535,c_124771]) ).
tcf(c_143760,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(cons(sk5,sk4),app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143712,c_89538,c_124771]) ).
tcf(c_143763,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(cons(sk5,sk4),app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143710,c_89541,c_124771]) ).
tcf(c_143766,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ frontsegP(cons(sk5,sk4),app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143709,c_79220,c_124771]) ).
tcf(c_143769,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ frontsegP(cons(sk5,sk4),app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143708,c_79223,c_124771]) ).
tcf(c_143772,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk4)
| ~ frontsegP(cons(sk5,sk4),app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143706,c_79226,c_124771]) ).
tcf(c_143775,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143705,c_28938,c_124771]) ).
tcf(c_143779,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143704,c_28938,c_124771]) ).
tcf(c_143783,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143703,c_28938,c_124771]) ).
tcf(c_143787,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143702,c_28940,c_124771]) ).
tcf(c_143791,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143701,c_28940,c_124771]) ).
tcf(c_143795,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143700,c_28940,c_124771]) ).
tcf(c_143799,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143699,c_28942,c_124771]) ).
tcf(c_143803,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143698,c_28942,c_124771]) ).
tcf(c_143807,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(cons(sk5,sk4),cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143697,c_28942,c_124771]) ).
tcf(c_143811,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk5 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk5,sk4),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143690,c_6485]) ).
tcf(c_143818,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sk4,sk7),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk5,sk4),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143691,c_6485]) ).
tcf(c_143825,plain,
! [X0: $i] :
( ( cons(sk5,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sk5,sk4),X0)
| ~ frontsegP(X0,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143689,c_124771]) ).
tcf(c_143830,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk5,app(sk4,sk7)),X0)) = cons(sk5,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sk5,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143688,c_124771]) ).
tcf(c_144034,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk5,app(sk4,sk7)),X0),cons(X0,skaf43(X0,cons(sk5,app(sk4,sk7))))) = cons(sk5,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(cons(sk5,sk4),X0)
| ~ ssList(cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_124802,c_416]) ).
tcf(c_144035,plain,
! [X0: $i] :
( memberP(app(sk4,sk7),X0)
| ( X0 = sk5 )
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk7))
| ~ memberP(cons(sk5,sk4),X0) ),
inference(superposition,[status(thm)],[c_124802,c_408]) ).
tcf(c_144036,plain,
! [X0: $i] :
( memberP(app(sk4,sk7),X0)
| ( X0 = sk5 )
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk7))
| ~ memberP(cons(sk5,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144035,c_6485]) ).
tcf(c_144042,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk5,app(sk4,sk7)),X0),cons(X0,skaf43(X0,cons(sk5,app(sk4,sk7))))) = cons(sk5,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(cons(sk5,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144034,c_124771]) ).
tcf(c_144048,plain,
~ rearsegP(sk7,cons(sk5,app(sk4,sk7))),
inference(global_subsumption_just,[status(thm)],[c_125365,c_124782,c_125365]) ).
tcf(c_144052,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,app(sk4,sk7)),sk7))
| ~ ssList(app(app(skaf46(cons(sk5,app(sk4,sk7)),sk7),sk7),X0)) ),
inference(superposition,[status(thm)],[c_125368,c_420]) ).
tcf(c_144053,plain,
! [X0: $i] :
( ( skaf46(cons(sk5,app(sk4,sk7)),sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,app(sk4,sk7)),sk7))
| ( cons(sk5,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_125368,c_398]) ).
tcf(c_144055,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(cons(sk5,app(sk4,sk7)),sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(cons(sk5,app(sk4,sk7)),X0)
| ~ ssList(skaf46(cons(sk5,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_125368,c_405]) ).
tcf(c_144058,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),skaf46(cons(sk5,app(sk4,sk7)),sk7))
| ~ ssList(sk7)
| ~ ssList(skaf46(cons(sk5,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_125368,c_808]) ).
tcf(c_144060,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf46(cons(sk5,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_125368,c_388]) ).
tcf(c_144061,plain,
! [X0: $i] :
( rearsegP(cons(sk5,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(skaf46(cons(sk5,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_125368,c_383]) ).
tcf(c_144062,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,app(sk4,sk7)),sk7))
| ( app(skaf46(cons(sk5,app(sk4,sk7)),sk7),X0) != cons(sk5,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_125368,c_397]) ).
tcf(c_144063,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf46(cons(sk5,app(sk4,sk7)),sk7))
| ~ memberP(skaf46(cons(sk5,app(sk4,sk7)),sk7),X0) ),
inference(superposition,[status(thm)],[c_125368,c_387]) ).
tcf(c_144064,plain,
! [X0: $i] :
( frontsegP(cons(sk5,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,app(sk4,sk7)),sk7))
| ~ frontsegP(skaf46(cons(sk5,app(sk4,sk7)),sk7),X0) ),
inference(superposition,[status(thm)],[c_125368,c_384]) ).
tcf(c_144065,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,app(sk4,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(skaf46(cons(sk5,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_125368,c_419]) ).
tcf(c_144066,plain,
( ( skaf46(cons(sk5,app(sk4,sk7)),sk7) = iPr_def_14 )
| ~ ssList(skaf46(cons(sk5,app(sk4,sk7)),sk7))
| ( cons(sk5,app(sk4,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_125368,c_51335]) ).
tcf(c_144068,plain,
frontsegP(cons(sk5,app(sk4,sk7)),skaf46(cons(sk5,app(sk4,sk7)),sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_144058,c_6483,c_297]) ).
tcf(c_144071,plain,
( ( skaf46(cons(sk5,app(sk4,sk7)),sk7) = iPr_def_14 )
| ( cons(sk5,app(sk4,sk7)) != cons(sk6,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144066,c_297]) ).
tcf(c_144075,plain,
! [X0: $i] :
( frontsegP(cons(sk5,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(cons(sk5,app(sk4,sk7)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144064,c_6483,c_297]) ).
tcf(c_144079,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(cons(sk5,app(sk4,sk7)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144063,c_6483,c_297]) ).
tcf(c_144083,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(cons(sk5,app(sk4,sk7)),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk5,app(sk4,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144055,c_6483,c_297]) ).
tcf(c_144088,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(skaf46(cons(sk5,app(sk4,sk7)),sk7),X0) != cons(sk5,app(sk4,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144062,c_6483,c_297]) ).
tcf(c_144092,plain,
! [X0: $i] :
( ( skaf46(cons(sk5,app(sk4,sk7)),sk7) = X0 )
| ~ ssList(X0)
| ( cons(sk5,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144053,c_6483,c_297]) ).
tcf(c_144096,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,app(sk4,sk7)),sk7))
| ~ ssList(app(cons(sk5,app(sk4,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_144052,c_125368]) ).
tcf(c_144103,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk5,app(sk4,sk7)),sk7))
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(X0,cons(sk5,app(sk4,sk7)))
| ~ ssList(skaf46(cons(sk5,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_144068,c_401]) ).
tcf(c_144104,plain,
( ( app(skaf46(cons(sk5,app(sk4,sk7)),sk7),skaf45(cons(sk5,app(sk4,sk7)),skaf46(cons(sk5,app(sk4,sk7)),sk7))) = cons(sk5,app(sk4,sk7)) )
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ ssList(skaf46(cons(sk5,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_144068,c_379]) ).
tcf(c_144105,plain,
( ( skaf46(cons(sk5,app(sk4,sk7)),sk7) = cons(sk5,app(sk4,sk7)) )
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ ssList(skaf46(cons(sk5,app(sk4,sk7)),sk7))
| ~ frontsegP(skaf46(cons(sk5,app(sk4,sk7)),sk7),cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_144068,c_376]) ).
tcf(c_144106,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk5,app(sk4,sk7)),sk7))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144103,c_124771,c_297]) ).
tcf(c_144110,plain,
( ( skaf46(cons(sk5,app(sk4,sk7)),sk7) = cons(sk5,app(sk4,sk7)) )
| ~ frontsegP(skaf46(cons(sk5,app(sk4,sk7)),sk7),cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144105,c_124771,c_297]) ).
tcf(c_144113,plain,
app(skaf46(cons(sk5,app(sk4,sk7)),sk7),skaf45(cons(sk5,app(sk4,sk7)),skaf46(cons(sk5,app(sk4,sk7)),sk7))) = cons(sk5,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_144104,c_124771,c_297]) ).
tcf(c_144121,plain,
( ( sk7 = nil )
| ~ ssList(nil)
| ( cons(sk5,sk7) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9518,c_127346]) ).
tcf(c_144122,plain,
( ( skaf45(iPr_def_12,iPr_def_12) = sk7 )
| ~ ssList(skaf45(iPr_def_12,iPr_def_12))
| ( cons(sk5,sk7) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_13144,c_127346]) ).
tcf(c_144123,plain,
( ( sk4 = sk7 )
| ~ ssList(sk4)
| ( cons(sk5,sk4) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_64937,c_127346]) ).
tcf(c_144125,plain,
( ( sk7 = nil )
| ( cons(sk5,sk7) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144121,c_255]) ).
tcf(c_144129,plain,
( ( skaf45(iPr_def_12,iPr_def_12) = sk7 )
| ( cons(sk5,sk7) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144122,c_298]) ).
tcf(c_144201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf61(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf61(X1)))
| ~ ssList(skaf82(skaf61(X1)))
| ~ leq(X2,skaf83(skaf61(X1)))
| ~ leq(skaf83(skaf61(X1)),X2)
| ~ ssList(app(app(X0,skaf61(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf61(X1)),skaf82(skaf61(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11000,c_432]) ).
tcf(c_144202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf61(X1)))
| leq(skaf83(skaf61(X1)),X2)
| ( skaf61(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf61(X1)))
| ~ ssList(skaf82(skaf61(X1)))
| ~ ssList(app(app(X0,skaf61(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf61(X1)),skaf82(skaf61(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11000,c_431]) ).
tcf(c_144203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf61(X1)))
| lt(skaf83(skaf61(X1)),X2)
| ( skaf61(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf61(X1)))
| ~ ssList(skaf82(skaf61(X1)))
| ~ ssList(app(app(X0,skaf61(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf61(X1)),skaf82(skaf61(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11000,c_430]) ).
tcf(c_144204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf61(X1)),X2)
| ( skaf61(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf61(X1)))
| ~ ssList(skaf82(skaf61(X1)))
| ~ ssList(app(app(X0,skaf61(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf61(X1)),skaf82(skaf61(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11000,c_429]) ).
tcf(c_144205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf61(X1)),X2)
| ( skaf61(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf61(X1)))
| ~ ssList(skaf82(skaf61(X1)))
| ~ ssList(app(app(X0,skaf61(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf61(X1)),skaf82(skaf61(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11000,c_428]) ).
tcf(c_144206,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf61(X1)))
| ~ ssList(skaf82(skaf61(X1)))
| ~ ssList(app(app(X0,skaf61(X1)),cons(skaf83(skaf61(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf61(X1)),skaf82(skaf61(X1)))),cons(skaf83(skaf61(X1)),X2))) ),
inference(superposition,[status(thm)],[c_11000,c_426]) ).
tcf(c_144207,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf61(X1)),skaf83(skaf61(X1)))
| ( skaf61(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf61(X1)))
| ~ ssList(skaf82(skaf61(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf61(X1)),skaf82(skaf61(X1))))) ),
inference(superposition,[status(thm)],[c_11000,c_422]) ).
tcf(c_144208,plain,
! [X0: $i] :
( memberP(skaf61(X0),skaf83(skaf61(X0)))
| ( skaf61(X0) = nil )
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_11000,c_385]) ).
tcf(c_144210,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( skaf82(skaf61(X0)) = nil )
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0)))
| ( skaf61(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11000,c_21847]) ).
tcf(c_144211,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( skaf82(skaf61(X0)) = nil )
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0)))
| ( skaf61(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11000,c_21842]) ).
tcf(c_144212,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( skaf83(skaf61(X0)) = sk5 )
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0)))
| ( skaf61(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11000,c_21750]) ).
tcf(c_144213,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( skaf83(skaf61(X0)) = sk6 )
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0)))
| ( skaf61(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11000,c_21745]) ).
tcf(c_144214,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( skaf83(skaf61(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf61(X0))
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_11000,c_21595]) ).
tcf(c_144215,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( skaf83(skaf61(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf61(X0))
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_11000,c_21590]) ).
tcf(c_144216,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( skaf83(skaf61(X0)) = sk5 )
| ~ frontsegP(skaf61(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_11000,c_21585]) ).
tcf(c_144217,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( skaf83(skaf61(X0)) = sk6 )
| ~ frontsegP(skaf61(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_11000,c_21580]) ).
tcf(c_144218,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf61(X0)))
| ( skaf61(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf61(X0))
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_11000,c_21202]) ).
tcf(c_144219,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf61(X0)))
| ( skaf61(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf61(X0))
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_11000,c_21197]) ).
tcf(c_144222,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X0) = nil )
| ( skaf83(skaf61(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0)))
| ~ frontsegP(skaf61(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_11000,c_423]) ).
tcf(c_144223,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf61(X0)),X2)
| ( skaf61(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0)))
| ~ frontsegP(skaf61(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_11000,c_421]) ).
tcf(c_144224,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf61(X0)),X1)
| ( skaf61(X0) = nil )
| ( skaf83(skaf61(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0)))
| ~ memberP(skaf61(X0),X1) ),
inference(superposition,[status(thm)],[c_11000,c_408]) ).
tcf(c_144225,plain,
! [X0: $i] :
( leq(skaf83(skaf61(X0)),hd(skaf82(skaf61(X0))))
| ( skaf61(X0) = nil )
| ( skaf82(skaf61(X0)) = nil )
| ~ totalorderedP(skaf61(X0))
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_11000,c_382]) ).
tcf(c_144226,plain,
! [X0: $i] :
( lt(skaf83(skaf61(X0)),hd(skaf82(skaf61(X0))))
| ( skaf61(X0) = nil )
| ( skaf82(skaf61(X0)) = nil )
| ~ strictorderedP(skaf61(X0))
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_11000,c_381]) ).
tcf(c_144227,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf61(X0)))
| ( skaf61(X0) = nil )
| ( skaf82(skaf61(X0)) = nil )
| ~ totalorderedP(skaf61(X0))
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_11000,c_372]) ).
tcf(c_144228,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf61(X0)))
| ( skaf61(X0) = nil )
| ( skaf82(skaf61(X0)) = nil )
| ~ strictorderedP(skaf61(X0))
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0))) ),
inference(superposition,[status(thm)],[c_11000,c_371]) ).
tcf(c_144229,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0)))
| ( skaf82(skaf61(X0)) != skaf61(X0) ) ),
inference(superposition,[status(thm)],[c_11000,c_346]) ).
tcf(c_144231,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf61(X1)),X0),skaf61(X1))
| ( skaf61(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf61(X1)))
| ~ ssList(skaf82(skaf61(X1)))
| ~ frontsegP(X0,skaf82(skaf61(X1))) ),
inference(superposition,[status(thm)],[c_11000,c_425]) ).
tcf(c_144232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X2) = nil )
| ( skaf83(skaf61(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf61(X2)))
| ~ ssList(skaf82(skaf61(X2)))
| ~ ssList(app(X0,cons(X1,skaf61(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf61(X2)),skaf82(skaf61(X2)))))) ),
inference(superposition,[status(thm)],[c_11000,c_427]) ).
tcf(c_144233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X2) = nil )
| ( skaf82(skaf61(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf61(X2)))
| ~ ssList(skaf82(skaf61(X2)))
| ( cons(X0,X1) != skaf61(X2) ) ),
inference(superposition,[status(thm)],[c_11000,c_418]) ).
tcf(c_144234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X2) = nil )
| ( skaf83(skaf61(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf61(X2)))
| ~ ssList(skaf82(skaf61(X2)))
| ( cons(X0,X1) != skaf61(X2) ) ),
inference(superposition,[status(thm)],[c_11000,c_417]) ).
tcf(c_144235,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X2) = nil )
| ( skaf83(skaf61(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf61(X2)))
| ~ ssList(skaf82(skaf61(X2)))
| ~ frontsegP(cons(X0,X1),skaf61(X2)) ),
inference(superposition,[status(thm)],[c_11000,c_423]) ).
tcf(c_144236,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf61(X2)))
| ( skaf61(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf61(X2)))
| ~ ssList(skaf82(skaf61(X2)))
| ~ frontsegP(cons(X0,X1),skaf61(X2)) ),
inference(superposition,[status(thm)],[c_11000,c_421]) ).
tcf(c_144237,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf61(X0),cons(skaf83(skaf61(X0)),X1))
| ( skaf61(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0)))
| ~ frontsegP(skaf82(skaf61(X0)),X1) ),
inference(superposition,[status(thm)],[c_11000,c_425]) ).
tcf(c_144238,plain,
! [X0: $i,X1: $i] :
( memberP(skaf61(X0),X1)
| ( skaf61(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf61(X0)))
| ~ ssList(skaf82(skaf61(X0)))
| ~ memberP(skaf82(skaf61(X0)),X1) ),
inference(superposition,[status(thm)],[c_11000,c_386]) ).
tcf(c_144239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf61(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf61(X3)))
| ~ ssList(skaf82(skaf61(X3)))
| ~ leq(X1,skaf83(skaf61(X3)))
| ~ leq(skaf83(skaf61(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf61(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf61(X3)),skaf82(skaf61(X3))))) ),
inference(superposition,[status(thm)],[c_11000,c_432]) ).
tcf(c_144240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf61(X3)))
| leq(skaf83(skaf61(X3)),X1)
| ( skaf61(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf61(X3)))
| ~ ssList(skaf82(skaf61(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf61(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf61(X3)),skaf82(skaf61(X3))))) ),
inference(superposition,[status(thm)],[c_11000,c_431]) ).
tcf(c_144241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf61(X3)))
| lt(skaf83(skaf61(X3)),X1)
| ( skaf61(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf61(X3)))
| ~ ssList(skaf82(skaf61(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf61(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf61(X3)),skaf82(skaf61(X3))))) ),
inference(superposition,[status(thm)],[c_11000,c_430]) ).
tcf(c_144242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf61(X3)))
| ( skaf61(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf61(X3)))
| ~ ssList(skaf82(skaf61(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf61(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf61(X3)),skaf82(skaf61(X3))))) ),
inference(superposition,[status(thm)],[c_11000,c_429]) ).
tcf(c_144243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf61(X3)))
| ( skaf61(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf61(X3)))
| ~ ssList(skaf82(skaf61(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf61(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf61(X3)),skaf82(skaf61(X3))))) ),
inference(superposition,[status(thm)],[c_11000,c_428]) ).
tcf(c_144244,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf61(X1)))
| ~ ssList(skaf82(skaf61(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf61(X1)),X2)),skaf61(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf61(X1)),X2)),cons(skaf83(skaf61(X1)),skaf82(skaf61(X1))))) ),
inference(superposition,[status(thm)],[c_11000,c_426]) ).
tcf(c_144245,plain,
! [X0: $i] :
( memberP(skaf61(X0),skaf83(skaf61(X0)))
| ( skaf61(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144208,c_259,c_260]) ).
tcf(c_144248,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( skaf82(skaf61(X0)) != skaf61(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144229,c_259,c_260]) ).
tcf(c_144251,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf61(X0)))
| ( skaf61(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf61(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144219,c_259,c_260]) ).
tcf(c_144255,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf61(X0)))
| ( skaf61(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf61(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144218,c_259,c_260]) ).
tcf(c_144259,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( skaf83(skaf61(X0)) = sk6 )
| ~ frontsegP(skaf61(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144217,c_259,c_260]) ).
tcf(c_144263,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( skaf83(skaf61(X0)) = sk5 )
| ~ frontsegP(skaf61(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144216,c_259,c_260]) ).
tcf(c_144267,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( skaf83(skaf61(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf61(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144215,c_259,c_260]) ).
tcf(c_144271,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( skaf83(skaf61(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf61(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144214,c_259,c_260]) ).
tcf(c_144275,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( skaf83(skaf61(X0)) = sk6 )
| ( skaf61(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144213,c_259,c_260]) ).
tcf(c_144279,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( skaf83(skaf61(X0)) = sk5 )
| ( skaf61(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144212,c_259,c_260]) ).
tcf(c_144283,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( skaf82(skaf61(X0)) = nil )
| ( skaf61(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144211,c_259,c_260]) ).
tcf(c_144287,plain,
! [X0: $i] :
( ( skaf61(X0) = nil )
| ( skaf82(skaf61(X0)) = nil )
| ( skaf61(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144210,c_259,c_260]) ).
tcf(c_144291,plain,
! [X0: $i,X1: $i] :
( memberP(skaf61(X0),X1)
| ( skaf61(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf61(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144238,c_259,c_260]) ).
tcf(c_144296,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf61(X0)))
| ( skaf61(X0) = nil )
| ( skaf82(skaf61(X0)) = nil )
| ~ strictorderedP(skaf61(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144228,c_259,c_260]) ).
tcf(c_144301,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf61(X0)))
| ( skaf61(X0) = nil )
| ( skaf82(skaf61(X0)) = nil )
| ~ totalorderedP(skaf61(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144227,c_259,c_260]) ).
tcf(c_144306,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf61(X0),cons(skaf83(skaf61(X0)),X1))
| ( skaf61(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf61(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144237,c_259,c_260]) ).
tcf(c_144311,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf61(X1)),X0),skaf61(X1))
| ( skaf61(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf61(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144231,c_259,c_260]) ).
tcf(c_144316,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf61(X2)))
| ( skaf61(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf61(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144236,c_259,c_260]) ).
tcf(c_144322,plain,
! [X0: $i] :
( lt(skaf83(skaf61(X0)),hd(skaf82(skaf61(X0))))
| ( skaf61(X0) = nil )
| ( skaf82(skaf61(X0)) = nil )
| ~ strictorderedP(skaf61(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144226,c_259,c_260]) ).
tcf(c_144327,plain,
! [X0: $i] :
( leq(skaf83(skaf61(X0)),hd(skaf82(skaf61(X0))))
| ( skaf61(X0) = nil )
| ( skaf82(skaf61(X0)) = nil )
| ~ totalorderedP(skaf61(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144225,c_259,c_260]) ).
tcf(c_144332,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf61(X0)),X2)
| ( skaf61(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf61(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144223,c_259,c_260]) ).
tcf(c_144338,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X2) = nil )
| ( skaf83(skaf61(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf61(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144235,c_259,c_260]) ).
tcf(c_144344,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf61(X0)),X1)
| ( skaf61(X0) = nil )
| ( skaf83(skaf61(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf61(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144224,c_259,c_260]) ).
tcf(c_144350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X0) = nil )
| ( skaf83(skaf61(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf61(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144222,c_259,c_260]) ).
tcf(c_144356,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X2) = nil )
| ( skaf83(skaf61(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf61(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144234,c_259,c_260]) ).
tcf(c_144362,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X2) = nil )
| ( skaf82(skaf61(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf61(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144233,c_259,c_260]) ).
tcf(c_144368,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf61(X1)),skaf83(skaf61(X1)))
| ( skaf61(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf61(X1)),skaf82(skaf61(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144207,c_259,c_260]) ).
tcf(c_144373,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X2) = nil )
| ( skaf83(skaf61(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf61(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf61(X2)),skaf82(skaf61(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144232,c_259,c_260]) ).
tcf(c_144380,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf61(X1)),X2)),skaf61(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf61(X1)),X2)),cons(skaf83(skaf61(X1)),skaf82(skaf61(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144244,c_259,c_260]) ).
tcf(c_144386,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf61(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf61(X1)),cons(skaf83(skaf61(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf61(X1)),skaf82(skaf61(X1)))),cons(skaf83(skaf61(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144206,c_259,c_260]) ).
tcf(c_144392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf61(X3)))
| ( skaf61(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf61(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf61(X3)),skaf82(skaf61(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144243,c_259,c_260]) ).
tcf(c_144400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf61(X3)))
| ( skaf61(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf61(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf61(X3)),skaf82(skaf61(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144242,c_259,c_260]) ).
tcf(c_144408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf61(X1)),X2)
| ( skaf61(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf61(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf61(X1)),skaf82(skaf61(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144205,c_259,c_260]) ).
tcf(c_144416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf61(X1)),X2)
| ( skaf61(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf61(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf61(X1)),skaf82(skaf61(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144204,c_259,c_260]) ).
tcf(c_144424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf61(X3)))
| lt(skaf83(skaf61(X3)),X1)
| ( skaf61(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf61(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf61(X3)),skaf82(skaf61(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144241,c_259,c_260]) ).
tcf(c_144433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf61(X3)))
| leq(skaf83(skaf61(X3)),X1)
| ( skaf61(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf61(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf61(X3)),skaf82(skaf61(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144240,c_259,c_260]) ).
tcf(c_144442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf61(X1)))
| lt(skaf83(skaf61(X1)),X2)
| ( skaf61(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf61(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf61(X1)),skaf82(skaf61(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144203,c_259,c_260]) ).
tcf(c_144451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf61(X1)))
| leq(skaf83(skaf61(X1)),X2)
| ( skaf61(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf61(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf61(X1)),skaf82(skaf61(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144202,c_259,c_260]) ).
tcf(c_144460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf61(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf61(X3)))
| ~ leq(skaf83(skaf61(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf61(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf61(X3)),skaf82(skaf61(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144239,c_259,c_260]) ).
tcf(c_144469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf61(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf61(X1)))
| ~ leq(skaf83(skaf61(X1)),X2)
| ~ ssList(app(app(X0,skaf61(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf61(X1)),skaf82(skaf61(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144201,c_259,c_260]) ).
tcf(c_144767,plain,
! [X0: $i] : skaf46(skaf67(X0),nil) = skaf67(X0),
inference(demodulation,[status(thm)],[c_12979,c_9128]) ).
tcf(c_144770,plain,
! [X0: $i] :
( ( skaf46(skaf67(X0),nil) = nil )
| ( cons(hd(skaf67(X0)),tl(skaf67(X0))) = skaf67(X0) ) ),
inference(superposition,[status(thm)],[c_144767,c_10793]) ).
tcf(c_144786,plain,
! [X0: $i] : skaf46(skaf68(X0),nil) = skaf68(X0),
inference(demodulation,[status(thm)],[c_12980,c_9128]) ).
tcf(c_144789,plain,
! [X0: $i] :
( ( skaf46(skaf68(X0),nil) = nil )
| ( cons(hd(skaf68(X0)),tl(skaf68(X0))) = skaf68(X0) ) ),
inference(superposition,[status(thm)],[c_144786,c_10793]) ).
tcf(c_144805,plain,
! [X0: $i] : skaf46(skaf71(X0),nil) = skaf71(X0),
inference(demodulation,[status(thm)],[c_12981,c_9128]) ).
tcf(c_144808,plain,
! [X0: $i] :
( ( skaf46(skaf71(X0),nil) = nil )
| ( cons(hd(skaf71(X0)),tl(skaf71(X0))) = skaf71(X0) ) ),
inference(superposition,[status(thm)],[c_144805,c_10793]) ).
tcf(c_144824,plain,
! [X0: $i] : skaf46(skaf72(X0),nil) = skaf72(X0),
inference(demodulation,[status(thm)],[c_12982,c_9128]) ).
tcf(c_144827,plain,
! [X0: $i] :
( ( skaf46(skaf72(X0),nil) = nil )
| ( cons(hd(skaf72(X0)),tl(skaf72(X0))) = skaf72(X0) ) ),
inference(superposition,[status(thm)],[c_144824,c_10793]) ).
tcf(c_144843,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,app(sk8,sk4))))
| ( cons(sk6,app(sk8,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_113341,c_407]) ).
tcf(c_144844,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,app(sk8,sk4))))
| ( cons(sk6,app(sk8,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,app(sk8,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_113341,c_406]) ).
tcf(c_144846,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,app(sk8,sk4))))
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144844,c_68985,c_68959]) ).
tcf(c_144851,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,app(sk8,sk4))))
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,app(sk8,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144843,c_68985,c_68959]) ).
tcf(c_144858,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,app(sk8,sk4))))
| ( cons(sk5,app(sk8,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,app(sk8,sk4)))
| ~ ssList(cons(sk5,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_113344,c_407]) ).
tcf(c_144859,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,app(sk8,sk4))))
| ( cons(sk5,app(sk8,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,app(sk8,sk4)))
| ~ ssList(cons(sk5,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_113344,c_406]) ).
tcf(c_144879,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_114685,c_401]) ).
tcf(c_144880,plain,
( ( app(sk7,skaf45(app(sk8,sk4),sk7)) = app(sk8,sk4) )
| ~ ssList(sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_114685,c_379]) ).
tcf(c_144881,plain,
( ( app(sk8,sk4) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk7,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_114685,c_376]) ).
tcf(c_144882,plain,
( ( app(sk8,sk4) = sk7 )
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(sk7,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144881,c_6483,c_112727]) ).
tcf(c_144886,plain,
( ( app(sk7,skaf45(app(sk8,sk4),sk7)) = app(sk8,sk4) )
| ~ frontsegP(sk8,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144880,c_6483,c_112727]) ).
tcf(c_144889,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144879,c_6483,c_112727]) ).
tcf(c_144899,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_114688,c_401]) ).
tcf(c_144900,plain,
( ( app(sk7,skaf45(app(sk8,sk4),sk7)) = app(sk8,sk4) )
| ~ ssList(sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_114688,c_379]) ).
tcf(c_144901,plain,
( ( app(sk8,sk4) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk7,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_114688,c_376]) ).
tcf(c_144902,plain,
( ( app(sk8,sk4) = sk7 )
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(sk7,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144901,c_6483,c_112727]) ).
tcf(c_144906,plain,
( ( app(sk7,skaf45(app(sk8,sk4),sk7)) = app(sk8,sk4) )
| ~ frontsegP(sk8,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144900,c_6483,c_112727]) ).
tcf(c_144909,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144899,c_6483,c_112727]) ).
tcf(c_144988,plain,
( ( app(sk4,sk4) = iPr_def_12 )
| ~ ssList(app(sk4,sk4))
| ( app(sk4,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_37936,c_127350]) ).
tcf(c_144989,plain,
( ( skaf46(app(sk4,app(sk4,sk7)),sk7) = iPr_def_12 )
| ~ ssList(skaf46(app(sk4,app(sk4,sk7)),sk7))
| ( app(sk4,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_81073,c_127350]) ).
tcf(c_144990,plain,
( ( app(sk7,sk4) = iPr_def_12 )
| ~ ssList(app(sk7,sk4))
| ( app(sk7,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_40760,c_127350]) ).
tcf(c_144991,plain,
( ( skaf46(app(sk7,app(sk4,sk7)),sk7) = iPr_def_12 )
| ~ ssList(skaf46(app(sk7,app(sk4,sk7)),sk7))
| ( app(sk7,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_92751,c_127350]) ).
tcf(c_144992,plain,
( ( app(sk8,sk4) = iPr_def_12 )
| ~ ssList(app(sk8,sk4))
| ( app(sk8,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_42874,c_127350]) ).
tcf(c_144993,plain,
( ( skaf46(app(sk8,app(sk4,sk7)),sk7) = iPr_def_12 )
| ~ ssList(skaf46(app(sk8,app(sk4,sk7)),sk7))
| ( app(sk8,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_115588,c_127350]) ).
tcf(c_144995,plain,
( ( cons(sk6,sk4) = iPr_def_12 )
| ~ ssList(cons(sk6,sk4))
| ( cons(sk6,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_132511,c_127350]) ).
tcf(c_144996,plain,
( ( cons(sk6,sk7) = iPr_def_12 )
| ~ ssList(cons(sk6,sk7))
| ( cons(sk6,app(sk7,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_132512,c_127350]) ).
tcf(c_144997,plain,
( ( cons(sk6,sk8) = iPr_def_12 )
| ~ ssList(cons(sk6,sk8))
| ( cons(sk6,app(sk8,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_132513,c_127350]) ).
tcf(c_144998,plain,
( ( app(sk4,sk7) = iPr_def_12 )
| ~ ssList(app(sk4,sk7))
| ( app(sk4,app(sk7,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_45961,c_127350]) ).
tcf(c_144999,plain,
( ( app(sk7,sk7) = iPr_def_12 )
| ~ ssList(app(sk7,sk7))
| ( app(sk7,app(sk7,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_49246,c_127350]) ).
tcf(c_145000,plain,
( ( app(sk8,sk7) = iPr_def_12 )
| ~ ssList(app(sk8,sk7))
| ( app(sk8,app(sk7,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_52218,c_127350]) ).
tcf(c_145001,plain,
( ( app(sk4,sk8) = iPr_def_12 )
| ~ ssList(app(sk4,sk8))
| ( app(sk4,app(sk8,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_56776,c_127350]) ).
tcf(c_145002,plain,
( ( app(sk7,sk8) = iPr_def_12 )
| ~ ssList(app(sk7,sk8))
| ( app(sk7,app(sk8,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_59494,c_127350]) ).
tcf(c_145003,plain,
( ( app(sk8,sk8) = iPr_def_12 )
| ~ ssList(app(sk8,sk8))
| ( app(sk8,app(sk8,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_61815,c_127350]) ).
tcf(c_145004,plain,
( ( cons(sk5,sk4) = iPr_def_12 )
| ~ ssList(cons(sk5,sk4))
| ( cons(sk5,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_123078,c_127350]) ).
tcf(c_145005,plain,
( ( cons(sk5,sk7) = iPr_def_12 )
| ~ ssList(cons(sk5,sk7))
| ( cons(sk5,app(sk7,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_123079,c_127350]) ).
tcf(c_145006,plain,
( ( cons(sk5,sk8) = iPr_def_12 )
| ~ ssList(cons(sk5,sk8))
| ( cons(sk5,app(sk8,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_123080,c_127350]) ).
tcf(c_145007,plain,
( ( skaf46(cons(sk5,app(sk4,sk7)),sk7) = iPr_def_12 )
| ~ ssList(skaf46(cons(sk5,app(sk4,sk7)),sk7))
| ( cons(sk5,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_125368,c_127350]) ).
tcf(c_145008,plain,
( ( skaf46(cons(sk5,sk7),sk7) = iPr_def_12 )
| ~ ssList(skaf46(cons(sk5,sk7),sk7)) ),
inference(superposition,[status(thm)],[c_127556,c_127350]) ).
tcf(c_145009,plain,
skaf46(cons(sk5,sk7),sk7) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_145008,c_297]) ).
tcf(c_145013,plain,
( ( cons(sk5,sk7) = iPr_def_12 )
| ( cons(sk5,app(sk7,sk7)) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145005,c_127316]) ).
tcf(c_145016,plain,
( ( cons(sk5,sk4) = iPr_def_12 )
| ( cons(sk5,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145004,c_66402]) ).
tcf(c_145037,plain,
( ( cons(sk6,sk8) = iPr_def_12 )
| ( cons(sk6,app(sk8,sk7)) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144997,c_28938]) ).
tcf(c_145040,plain,
( ( cons(sk6,sk7) = iPr_def_12 )
| ( cons(sk6,app(sk7,sk7)) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144996,c_28940]) ).
tcf(c_145043,plain,
( ( cons(sk6,sk4) = iPr_def_12 )
| ( cons(sk6,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144995,c_28942]) ).
tcf(c_145046,plain,
( ( app(sk8,sk4) = iPr_def_12 )
| ( app(sk8,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144992,c_112727]) ).
tcf(c_145049,plain,
( ( app(sk7,sk4) = iPr_def_12 )
| ( app(sk7,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144990,c_89458]) ).
tcf(c_145052,plain,
( ( app(sk4,sk4) = iPr_def_12 )
| ( app(sk4,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144988,c_79152]) ).
tcf(c_145055,plain,
( ( skaf46(cons(sk5,app(sk4,sk7)),sk7) = iPr_def_12 )
| ( cons(sk5,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145007,c_297]) ).
tcf(c_145058,plain,
( ( skaf46(app(sk8,app(sk4,sk7)),sk7) = iPr_def_12 )
| ( app(sk8,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144993,c_297]) ).
tcf(c_145061,plain,
( ( skaf46(app(sk7,app(sk4,sk7)),sk7) = iPr_def_12 )
| ( app(sk7,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144991,c_297]) ).
tcf(c_145064,plain,
( ( skaf46(app(sk4,app(sk4,sk7)),sk7) = iPr_def_12 )
| ( app(sk4,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144989,c_297]) ).
tcf(c_145069,plain,
~ rearsegP(sk4,cons(sk5,app(sk7,sk4))),
inference(global_subsumption_just,[status(thm)],[c_129354,c_65651,c_65650,c_66856,c_127316,c_127324]) ).
tcf(c_145073,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk7,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4))
| ~ ssList(app(app(skaf46(cons(sk5,app(sk7,sk4)),sk4),sk4),X0)) ),
inference(superposition,[status(thm)],[c_129357,c_420]) ).
tcf(c_145074,plain,
! [X0: $i] :
( ( skaf46(cons(sk5,app(sk7,sk4)),sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4))
| ( cons(sk5,app(sk7,sk4)) != app(X0,sk4) ) ),
inference(superposition,[status(thm)],[c_129357,c_398]) ).
tcf(c_145076,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(cons(sk5,app(sk7,sk4)),sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(cons(sk5,app(sk7,sk4)),X0)
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_129357,c_405]) ).
tcf(c_145077,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4))
| ( cons(sk5,app(sk7,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_129357,c_366]) ).
tcf(c_145078,plain,
( ( skaf46(cons(sk5,app(sk7,sk4)),sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4))
| ( cons(sk5,app(sk7,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_129357,c_365]) ).
tcf(c_145079,plain,
( frontsegP(cons(sk5,app(sk7,sk4)),skaf46(cons(sk5,app(sk7,sk4)),sk4))
| ~ ssList(sk4)
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_129357,c_808]) ).
tcf(c_145081,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_129357,c_388]) ).
tcf(c_145082,plain,
! [X0: $i] :
( rearsegP(cons(sk5,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_129357,c_383]) ).
tcf(c_145083,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4))
| ( app(skaf46(cons(sk5,app(sk7,sk4)),sk4),X0) != cons(sk5,app(sk7,sk4)) ) ),
inference(superposition,[status(thm)],[c_129357,c_397]) ).
tcf(c_145084,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4))
| ~ memberP(skaf46(cons(sk5,app(sk7,sk4)),sk4),X0) ),
inference(superposition,[status(thm)],[c_129357,c_387]) ).
tcf(c_145085,plain,
! [X0: $i] :
( frontsegP(cons(sk5,app(sk7,sk4)),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4))
| ~ frontsegP(skaf46(cons(sk5,app(sk7,sk4)),sk4),X0) ),
inference(superposition,[status(thm)],[c_129357,c_384]) ).
tcf(c_145086,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,app(sk7,sk4)),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_129357,c_419]) ).
tcf(c_145087,plain,
( ( skaf46(cons(sk5,app(sk7,sk4)),sk4) = iPr_def_12 )
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4))
| ( cons(sk5,app(sk7,sk4)) != cons(sk5,sk4) ) ),
inference(superposition,[status(thm)],[c_129357,c_66433]) ).
tcf(c_145088,plain,
( ( skaf46(cons(sk5,app(sk7,sk4)),sk4) = iPr_def_14 )
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4))
| ( cons(sk5,app(sk7,sk4)) != cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_129357,c_51225]) ).
tcf(c_145089,plain,
( ( skaf46(cons(sk5,app(sk7,sk4)),sk4) = nil )
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4))
| ( cons(sk5,app(sk7,sk4)) != sk4 ) ),
inference(superposition,[status(thm)],[c_129357,c_17629]) ).
tcf(c_145090,plain,
frontsegP(cons(sk5,app(sk7,sk4)),skaf46(cons(sk5,app(sk7,sk4)),sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_145079,c_6486,c_297]) ).
tcf(c_145091,plain,
( ( sk4 = nil )
| ( cons(sk5,app(sk7,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145077,c_6486,c_297]) ).
tcf(c_145094,plain,
! [X0: $i] :
( rearsegP(cons(sk5,app(sk7,sk4)),X0)
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145082,c_6486,c_297]) ).
tcf(c_145098,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk7,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145081,c_6486,c_297]) ).
tcf(c_145102,plain,
( ( skaf46(cons(sk5,app(sk7,sk4)),sk4) = nil )
| ( cons(sk5,app(sk7,sk4)) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145089,c_297]) ).
tcf(c_145105,plain,
( ( skaf46(cons(sk5,app(sk7,sk4)),sk4) = iPr_def_14 )
| ( cons(sk5,app(sk7,sk4)) != cons(sk6,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145088,c_297]) ).
tcf(c_145108,plain,
( ( skaf46(cons(sk5,app(sk7,sk4)),sk4) = iPr_def_12 )
| ( cons(sk5,app(sk7,sk4)) != cons(sk5,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145087,c_297]) ).
tcf(c_145111,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk5,app(sk7,sk4)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145086,c_6486,c_297]) ).
tcf(c_145116,plain,
( ( skaf46(cons(sk5,app(sk7,sk4)),sk4) = nil )
| ( cons(sk5,app(sk7,sk4)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145078,c_6486,c_297]) ).
tcf(c_145119,plain,
! [X0: $i] :
( frontsegP(cons(sk5,app(sk7,sk4)),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(cons(sk5,app(sk7,sk4)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145085,c_6486,c_297]) ).
tcf(c_145123,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk7,sk4)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(cons(sk5,app(sk7,sk4)),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145084,c_6486,c_297]) ).
tcf(c_145127,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf46(cons(sk5,app(sk7,sk4)),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk5,app(sk7,sk4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145076,c_6486,c_297]) ).
tcf(c_145132,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(skaf46(cons(sk5,app(sk7,sk4)),sk4),X0) != cons(sk5,app(sk7,sk4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145083,c_6486,c_297]) ).
tcf(c_145136,plain,
! [X0: $i] :
( ( skaf46(cons(sk5,app(sk7,sk4)),sk4) = X0 )
| ~ ssList(X0)
| ( cons(sk5,app(sk7,sk4)) != app(X0,sk4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145074,c_6486,c_297]) ).
tcf(c_145140,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk7,sk4)),X0),sk4)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4))
| ~ ssList(app(cons(sk5,app(sk7,sk4)),X0)) ),
inference(light_normalisation,[status(thm)],[c_145073,c_129357]) ).
tcf(c_145141,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,app(sk7,sk4)),X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,app(sk7,sk4)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145140,c_6486,c_297]) ).
tcf(c_145154,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk5,app(sk7,sk4)),sk4))
| ~ ssList(X0)
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ frontsegP(X0,cons(sk5,app(sk7,sk4)))
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_145090,c_401]) ).
tcf(c_145155,plain,
( ( app(skaf46(cons(sk5,app(sk7,sk4)),sk4),skaf45(cons(sk5,app(sk7,sk4)),skaf46(cons(sk5,app(sk7,sk4)),sk4))) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4)) ),
inference(superposition,[status(thm)],[c_145090,c_379]) ).
tcf(c_145156,plain,
( ( skaf46(cons(sk5,app(sk7,sk4)),sk4) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ ssList(skaf46(cons(sk5,app(sk7,sk4)),sk4))
| ~ frontsegP(skaf46(cons(sk5,app(sk7,sk4)),sk4),cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_145090,c_376]) ).
tcf(c_145157,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk5,app(sk7,sk4)),sk4))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145154,c_127367,c_297]) ).
tcf(c_145161,plain,
( ( skaf46(cons(sk5,app(sk7,sk4)),sk4) = cons(sk5,app(sk7,sk4)) )
| ~ frontsegP(skaf46(cons(sk5,app(sk7,sk4)),sk4),cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145156,c_127367,c_297]) ).
tcf(c_145164,plain,
app(skaf46(cons(sk5,app(sk7,sk4)),sk4),skaf45(cons(sk5,app(sk7,sk4)),skaf46(cons(sk5,app(sk7,sk4)),sk4))) = cons(sk5,app(sk7,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_145155,c_127367,c_297]) ).
tcf(c_145166,plain,
cons(sk5,app(sk7,sk4)) != nil,
inference(global_subsumption_just,[status(thm)],[c_145091,c_65680,c_127316,c_127324]) ).
tcf(c_145174,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(X0,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_145094,c_400]) ).
tcf(c_145175,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk5,app(sk7,sk4)),X0),X0) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_145094,c_378]) ).
tcf(c_145176,plain,
! [X0: $i] :
( ( cons(sk5,app(sk7,sk4)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(X0,cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_145094,c_375]) ).
tcf(c_145177,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk8)
| ~ ssList(iPr_def_16)
| ~ rearsegP(sk4,iPr_def_16)
| ~ ssList(cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_145094,c_15170]) ).
tcf(c_145178,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ ssList(cons(sk6,sk7))
| ~ rearsegP(sk4,cons(sk6,sk7))
| ~ ssList(cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_145094,c_69731]) ).
tcf(c_145181,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk7)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_145094,c_81066]) ).
tcf(c_145182,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk8)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_145094,c_81049]) ).
tcf(c_145184,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_145094,c_92744]) ).
tcf(c_145185,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk8)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_145094,c_91539]) ).
tcf(c_145187,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk7)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_145094,c_115581]) ).
tcf(c_145188,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_145094,c_115569]) ).
tcf(c_145195,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk7)
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_145094,c_125361]) ).
tcf(c_145196,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk7)
| ~ ssList(cons(sk5,sk7))
| ~ rearsegP(sk4,cons(sk5,sk7))
| ~ ssList(cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_145094,c_127557]) ).
tcf(c_145197,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_145094,c_133942]) ).
tcf(c_145198,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_145094,c_134640]) ).
tcf(c_145199,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk7)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(cons(sk5,app(sk7,sk4)))
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_145094,c_135435]) ).
tcf(c_145200,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk8)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ rearsegP(sk4,cons(sk6,iPr_def_16))
| ~ ssList(cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_145094,c_137982]) ).
tcf(c_145201,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk8)
| ~ rearsegP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145177,c_9020,c_127367]) ).
tcf(c_145204,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk8)
| ~ rearsegP(sk4,cons(sk6,iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145200,c_137603,c_127367]) ).
tcf(c_145207,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk5,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145196,c_127316,c_127367]) ).
tcf(c_145210,plain,
! [X0: $i,X1: $i] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sk4,X1)
| ~ rearsegP(X0,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145174,c_127367]) ).
tcf(c_145216,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145199,c_134696,c_127367]) ).
tcf(c_145219,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145198,c_134161,c_127367]) ).
tcf(c_145222,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145197,c_132980,c_127367]) ).
tcf(c_145225,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk7)
| ~ rearsegP(sk4,cons(sk5,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145195,c_127367,c_124771]) ).
tcf(c_145228,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk8)
| ~ rearsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145188,c_112795,c_127367]) ).
tcf(c_145231,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk7)
| ~ rearsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145187,c_112798,c_127367]) ).
tcf(c_145234,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk8)
| ~ rearsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145185,c_89535,c_127367]) ).
tcf(c_145237,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk7)
| ~ rearsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145184,c_89538,c_127367]) ).
tcf(c_145240,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk8)
| ~ rearsegP(sk4,app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145182,c_79220,c_127367]) ).
tcf(c_145243,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk7)
| ~ rearsegP(sk4,app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145181,c_79223,c_127367]) ).
tcf(c_145246,plain,
( rearsegP(cons(sk5,app(sk7,sk4)),sk8)
| ~ rearsegP(sk7,iPr_def_16)
| ~ rearsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145178,c_28940,c_127367]) ).
tcf(c_145250,plain,
! [X0: $i] :
( ( cons(sk5,app(sk7,sk4)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| ~ rearsegP(X0,cons(sk5,app(sk7,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145176,c_127367]) ).
tcf(c_145255,plain,
! [X0: $i] :
( ( app(skaf46(cons(sk5,app(sk7,sk4)),X0),X0) = cons(sk5,app(sk7,sk4)) )
| ~ ssList(X0)
| ~ rearsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145175,c_127367]) ).
tcf(c_145332,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk5,app(sk7,sk4)),X0),cons(X0,skaf43(X0,cons(sk5,app(sk7,sk4))))) = cons(sk5,app(sk7,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk5,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_145098,c_416]) ).
tcf(c_145333,plain,
! [X0: $i] :
( memberP(app(sk7,sk4),X0)
| ( X0 = sk5 )
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_145098,c_408]) ).
tcf(c_145334,plain,
! [X0: $i] :
( memberP(app(sk7,sk4),X0)
| ( X0 = sk5 )
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145333,c_6485,c_89458]) ).
tcf(c_145339,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk5,app(sk7,sk4)),X0),cons(X0,skaf43(X0,cons(sk5,app(sk7,sk4))))) = cons(sk5,app(sk7,sk4)) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145332,c_127367]) ).
tcf(c_145350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf58(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf58(X1)))
| ~ ssList(skaf82(skaf58(X1)))
| ~ leq(X2,skaf83(skaf58(X1)))
| ~ leq(skaf83(skaf58(X1)),X2)
| ~ ssList(app(app(X0,skaf58(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf58(X1)),skaf82(skaf58(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11001,c_432]) ).
tcf(c_145351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf58(X1)))
| leq(skaf83(skaf58(X1)),X2)
| ( skaf58(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf58(X1)))
| ~ ssList(skaf82(skaf58(X1)))
| ~ ssList(app(app(X0,skaf58(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf58(X1)),skaf82(skaf58(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11001,c_431]) ).
tcf(c_145352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf58(X1)))
| lt(skaf83(skaf58(X1)),X2)
| ( skaf58(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf58(X1)))
| ~ ssList(skaf82(skaf58(X1)))
| ~ ssList(app(app(X0,skaf58(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf58(X1)),skaf82(skaf58(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11001,c_430]) ).
tcf(c_145353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf58(X1)),X2)
| ( skaf58(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf58(X1)))
| ~ ssList(skaf82(skaf58(X1)))
| ~ ssList(app(app(X0,skaf58(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf58(X1)),skaf82(skaf58(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11001,c_429]) ).
tcf(c_145354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf58(X1)),X2)
| ( skaf58(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf58(X1)))
| ~ ssList(skaf82(skaf58(X1)))
| ~ ssList(app(app(X0,skaf58(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf58(X1)),skaf82(skaf58(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11001,c_428]) ).
tcf(c_145355,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf58(X1)))
| ~ ssList(skaf82(skaf58(X1)))
| ~ ssList(app(app(X0,skaf58(X1)),cons(skaf83(skaf58(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf58(X1)),skaf82(skaf58(X1)))),cons(skaf83(skaf58(X1)),X2))) ),
inference(superposition,[status(thm)],[c_11001,c_426]) ).
tcf(c_145356,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf58(X1)),skaf83(skaf58(X1)))
| ( skaf58(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf58(X1)))
| ~ ssList(skaf82(skaf58(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf58(X1)),skaf82(skaf58(X1))))) ),
inference(superposition,[status(thm)],[c_11001,c_422]) ).
tcf(c_145357,plain,
! [X0: $i] :
( memberP(skaf58(X0),skaf83(skaf58(X0)))
| ( skaf58(X0) = nil )
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_11001,c_385]) ).
tcf(c_145359,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( skaf82(skaf58(X0)) = nil )
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0)))
| ( skaf58(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11001,c_21847]) ).
tcf(c_145360,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( skaf82(skaf58(X0)) = nil )
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0)))
| ( skaf58(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11001,c_21842]) ).
tcf(c_145361,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( skaf83(skaf58(X0)) = sk5 )
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0)))
| ( skaf58(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11001,c_21750]) ).
tcf(c_145362,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( skaf83(skaf58(X0)) = sk6 )
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0)))
| ( skaf58(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11001,c_21745]) ).
tcf(c_145363,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( skaf83(skaf58(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf58(X0))
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_11001,c_21595]) ).
tcf(c_145364,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( skaf83(skaf58(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf58(X0))
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_11001,c_21590]) ).
tcf(c_145365,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( skaf83(skaf58(X0)) = sk5 )
| ~ frontsegP(skaf58(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_11001,c_21585]) ).
tcf(c_145366,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( skaf83(skaf58(X0)) = sk6 )
| ~ frontsegP(skaf58(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_11001,c_21580]) ).
tcf(c_145367,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf58(X0)))
| ( skaf58(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf58(X0))
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_11001,c_21202]) ).
tcf(c_145368,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf58(X0)))
| ( skaf58(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf58(X0))
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_11001,c_21197]) ).
tcf(c_145371,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X0) = nil )
| ( skaf83(skaf58(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0)))
| ~ frontsegP(skaf58(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_11001,c_423]) ).
tcf(c_145372,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf58(X0)),X2)
| ( skaf58(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0)))
| ~ frontsegP(skaf58(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_11001,c_421]) ).
tcf(c_145373,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf58(X0)),X1)
| ( skaf58(X0) = nil )
| ( skaf83(skaf58(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0)))
| ~ memberP(skaf58(X0),X1) ),
inference(superposition,[status(thm)],[c_11001,c_408]) ).
tcf(c_145374,plain,
! [X0: $i] :
( leq(skaf83(skaf58(X0)),hd(skaf82(skaf58(X0))))
| ( skaf58(X0) = nil )
| ( skaf82(skaf58(X0)) = nil )
| ~ totalorderedP(skaf58(X0))
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_11001,c_382]) ).
tcf(c_145375,plain,
! [X0: $i] :
( lt(skaf83(skaf58(X0)),hd(skaf82(skaf58(X0))))
| ( skaf58(X0) = nil )
| ( skaf82(skaf58(X0)) = nil )
| ~ strictorderedP(skaf58(X0))
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_11001,c_381]) ).
tcf(c_145376,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf58(X0)))
| ( skaf58(X0) = nil )
| ( skaf82(skaf58(X0)) = nil )
| ~ totalorderedP(skaf58(X0))
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_11001,c_372]) ).
tcf(c_145377,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf58(X0)))
| ( skaf58(X0) = nil )
| ( skaf82(skaf58(X0)) = nil )
| ~ strictorderedP(skaf58(X0))
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0))) ),
inference(superposition,[status(thm)],[c_11001,c_371]) ).
tcf(c_145378,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0)))
| ( skaf82(skaf58(X0)) != skaf58(X0) ) ),
inference(superposition,[status(thm)],[c_11001,c_346]) ).
tcf(c_145380,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf58(X1)),X0),skaf58(X1))
| ( skaf58(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf58(X1)))
| ~ ssList(skaf82(skaf58(X1)))
| ~ frontsegP(X0,skaf82(skaf58(X1))) ),
inference(superposition,[status(thm)],[c_11001,c_425]) ).
tcf(c_145381,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X2) = nil )
| ( skaf83(skaf58(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf58(X2)))
| ~ ssList(skaf82(skaf58(X2)))
| ~ ssList(app(X0,cons(X1,skaf58(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf58(X2)),skaf82(skaf58(X2)))))) ),
inference(superposition,[status(thm)],[c_11001,c_427]) ).
tcf(c_145382,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X2) = nil )
| ( skaf82(skaf58(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf58(X2)))
| ~ ssList(skaf82(skaf58(X2)))
| ( cons(X0,X1) != skaf58(X2) ) ),
inference(superposition,[status(thm)],[c_11001,c_418]) ).
tcf(c_145383,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X2) = nil )
| ( skaf83(skaf58(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf58(X2)))
| ~ ssList(skaf82(skaf58(X2)))
| ( cons(X0,X1) != skaf58(X2) ) ),
inference(superposition,[status(thm)],[c_11001,c_417]) ).
tcf(c_145384,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X2) = nil )
| ( skaf83(skaf58(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf58(X2)))
| ~ ssList(skaf82(skaf58(X2)))
| ~ frontsegP(cons(X0,X1),skaf58(X2)) ),
inference(superposition,[status(thm)],[c_11001,c_423]) ).
tcf(c_145385,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf58(X2)))
| ( skaf58(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf58(X2)))
| ~ ssList(skaf82(skaf58(X2)))
| ~ frontsegP(cons(X0,X1),skaf58(X2)) ),
inference(superposition,[status(thm)],[c_11001,c_421]) ).
tcf(c_145386,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf58(X0),cons(skaf83(skaf58(X0)),X1))
| ( skaf58(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0)))
| ~ frontsegP(skaf82(skaf58(X0)),X1) ),
inference(superposition,[status(thm)],[c_11001,c_425]) ).
tcf(c_145387,plain,
! [X0: $i,X1: $i] :
( memberP(skaf58(X0),X1)
| ( skaf58(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf58(X0)))
| ~ ssList(skaf82(skaf58(X0)))
| ~ memberP(skaf82(skaf58(X0)),X1) ),
inference(superposition,[status(thm)],[c_11001,c_386]) ).
tcf(c_145388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf58(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf58(X3)))
| ~ ssList(skaf82(skaf58(X3)))
| ~ leq(X1,skaf83(skaf58(X3)))
| ~ leq(skaf83(skaf58(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf58(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf58(X3)),skaf82(skaf58(X3))))) ),
inference(superposition,[status(thm)],[c_11001,c_432]) ).
tcf(c_145389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf58(X3)))
| leq(skaf83(skaf58(X3)),X1)
| ( skaf58(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf58(X3)))
| ~ ssList(skaf82(skaf58(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf58(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf58(X3)),skaf82(skaf58(X3))))) ),
inference(superposition,[status(thm)],[c_11001,c_431]) ).
tcf(c_145390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf58(X3)))
| lt(skaf83(skaf58(X3)),X1)
| ( skaf58(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf58(X3)))
| ~ ssList(skaf82(skaf58(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf58(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf58(X3)),skaf82(skaf58(X3))))) ),
inference(superposition,[status(thm)],[c_11001,c_430]) ).
tcf(c_145391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf58(X3)))
| ( skaf58(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf58(X3)))
| ~ ssList(skaf82(skaf58(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf58(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf58(X3)),skaf82(skaf58(X3))))) ),
inference(superposition,[status(thm)],[c_11001,c_429]) ).
tcf(c_145392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf58(X3)))
| ( skaf58(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf58(X3)))
| ~ ssList(skaf82(skaf58(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf58(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf58(X3)),skaf82(skaf58(X3))))) ),
inference(superposition,[status(thm)],[c_11001,c_428]) ).
tcf(c_145393,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf58(X1)))
| ~ ssList(skaf82(skaf58(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf58(X1)),X2)),skaf58(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf58(X1)),X2)),cons(skaf83(skaf58(X1)),skaf82(skaf58(X1))))) ),
inference(superposition,[status(thm)],[c_11001,c_426]) ).
tcf(c_145394,plain,
! [X0: $i] :
( memberP(skaf58(X0),skaf83(skaf58(X0)))
| ( skaf58(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145357,c_259,c_260]) ).
tcf(c_145397,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( skaf82(skaf58(X0)) != skaf58(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145378,c_259,c_260]) ).
tcf(c_145400,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf58(X0)))
| ( skaf58(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf58(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145368,c_259,c_260]) ).
tcf(c_145404,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf58(X0)))
| ( skaf58(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf58(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145367,c_259,c_260]) ).
tcf(c_145408,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( skaf83(skaf58(X0)) = sk6 )
| ~ frontsegP(skaf58(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145366,c_259,c_260]) ).
tcf(c_145412,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( skaf83(skaf58(X0)) = sk5 )
| ~ frontsegP(skaf58(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145365,c_259,c_260]) ).
tcf(c_145416,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( skaf83(skaf58(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf58(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145364,c_259,c_260]) ).
tcf(c_145420,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( skaf83(skaf58(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf58(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145363,c_259,c_260]) ).
tcf(c_145424,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( skaf83(skaf58(X0)) = sk6 )
| ( skaf58(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145362,c_259,c_260]) ).
tcf(c_145428,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( skaf83(skaf58(X0)) = sk5 )
| ( skaf58(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145361,c_259,c_260]) ).
tcf(c_145432,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( skaf82(skaf58(X0)) = nil )
| ( skaf58(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145360,c_259,c_260]) ).
tcf(c_145436,plain,
! [X0: $i] :
( ( skaf58(X0) = nil )
| ( skaf82(skaf58(X0)) = nil )
| ( skaf58(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145359,c_259,c_260]) ).
tcf(c_145440,plain,
! [X0: $i,X1: $i] :
( memberP(skaf58(X0),X1)
| ( skaf58(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf58(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145387,c_259,c_260]) ).
tcf(c_145445,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf58(X0)))
| ( skaf58(X0) = nil )
| ( skaf82(skaf58(X0)) = nil )
| ~ strictorderedP(skaf58(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145377,c_259,c_260]) ).
tcf(c_145450,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf58(X0)))
| ( skaf58(X0) = nil )
| ( skaf82(skaf58(X0)) = nil )
| ~ totalorderedP(skaf58(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145376,c_259,c_260]) ).
tcf(c_145455,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf58(X0),cons(skaf83(skaf58(X0)),X1))
| ( skaf58(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf58(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145386,c_259,c_260]) ).
tcf(c_145460,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf58(X1)),X0),skaf58(X1))
| ( skaf58(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf58(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145380,c_259,c_260]) ).
tcf(c_145465,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf58(X2)))
| ( skaf58(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf58(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145385,c_259,c_260]) ).
tcf(c_145471,plain,
! [X0: $i] :
( lt(skaf83(skaf58(X0)),hd(skaf82(skaf58(X0))))
| ( skaf58(X0) = nil )
| ( skaf82(skaf58(X0)) = nil )
| ~ strictorderedP(skaf58(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145375,c_259,c_260]) ).
tcf(c_145476,plain,
! [X0: $i] :
( leq(skaf83(skaf58(X0)),hd(skaf82(skaf58(X0))))
| ( skaf58(X0) = nil )
| ( skaf82(skaf58(X0)) = nil )
| ~ totalorderedP(skaf58(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145374,c_259,c_260]) ).
tcf(c_145481,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf58(X0)),X2)
| ( skaf58(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf58(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145372,c_259,c_260]) ).
tcf(c_145487,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X2) = nil )
| ( skaf83(skaf58(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf58(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145384,c_259,c_260]) ).
tcf(c_145493,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf58(X0)),X1)
| ( skaf58(X0) = nil )
| ( skaf83(skaf58(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf58(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145373,c_259,c_260]) ).
tcf(c_145499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X0) = nil )
| ( skaf83(skaf58(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf58(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145371,c_259,c_260]) ).
tcf(c_145505,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X2) = nil )
| ( skaf83(skaf58(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf58(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145383,c_259,c_260]) ).
tcf(c_145511,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X2) = nil )
| ( skaf82(skaf58(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf58(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145382,c_259,c_260]) ).
tcf(c_145517,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf58(X1)),skaf83(skaf58(X1)))
| ( skaf58(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf58(X1)),skaf82(skaf58(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145356,c_259,c_260]) ).
tcf(c_145522,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X2) = nil )
| ( skaf83(skaf58(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf58(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf58(X2)),skaf82(skaf58(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145381,c_259,c_260]) ).
tcf(c_145529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf58(X1)),X2)),skaf58(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf58(X1)),X2)),cons(skaf83(skaf58(X1)),skaf82(skaf58(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145393,c_259,c_260]) ).
tcf(c_145535,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf58(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf58(X1)),cons(skaf83(skaf58(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf58(X1)),skaf82(skaf58(X1)))),cons(skaf83(skaf58(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145355,c_259,c_260]) ).
tcf(c_145541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf58(X3)))
| ( skaf58(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf58(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf58(X3)),skaf82(skaf58(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145392,c_259,c_260]) ).
tcf(c_145549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf58(X3)))
| ( skaf58(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf58(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf58(X3)),skaf82(skaf58(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145391,c_259,c_260]) ).
tcf(c_145557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf58(X1)),X2)
| ( skaf58(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf58(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf58(X1)),skaf82(skaf58(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145354,c_259,c_260]) ).
tcf(c_145565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf58(X1)),X2)
| ( skaf58(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf58(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf58(X1)),skaf82(skaf58(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145353,c_259,c_260]) ).
tcf(c_145573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf58(X3)))
| lt(skaf83(skaf58(X3)),X1)
| ( skaf58(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf58(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf58(X3)),skaf82(skaf58(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145390,c_259,c_260]) ).
tcf(c_145582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf58(X3)))
| leq(skaf83(skaf58(X3)),X1)
| ( skaf58(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf58(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf58(X3)),skaf82(skaf58(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145389,c_259,c_260]) ).
tcf(c_145591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf58(X1)))
| lt(skaf83(skaf58(X1)),X2)
| ( skaf58(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf58(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf58(X1)),skaf82(skaf58(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145352,c_259,c_260]) ).
tcf(c_145600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf58(X1)))
| leq(skaf83(skaf58(X1)),X2)
| ( skaf58(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf58(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf58(X1)),skaf82(skaf58(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145351,c_259,c_260]) ).
tcf(c_145609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf58(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf58(X3)))
| ~ leq(skaf83(skaf58(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf58(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf58(X3)),skaf82(skaf58(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145388,c_259,c_260]) ).
tcf(c_145618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf58(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf58(X1)))
| ~ leq(skaf83(skaf58(X1)),X2)
| ~ ssList(app(app(X0,skaf58(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf58(X1)),skaf82(skaf58(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145350,c_259,c_260]) ).
tcf(c_145731,plain,
! [X0: $i] : skaf46(skaf73(X0),nil) = skaf73(X0),
inference(demodulation,[status(thm)],[c_12983,c_9128]) ).
tcf(c_145734,plain,
! [X0: $i] :
( ( skaf46(skaf73(X0),nil) = nil )
| ( cons(hd(skaf73(X0)),tl(skaf73(X0))) = skaf73(X0) ) ),
inference(superposition,[status(thm)],[c_145731,c_10793]) ).
tcf(c_145750,plain,
! [X0: $i] : skaf46(skaf75(X0),nil) = skaf75(X0),
inference(demodulation,[status(thm)],[c_12984,c_9128]) ).
tcf(c_145753,plain,
! [X0: $i] :
( ( skaf46(skaf75(X0),nil) = nil )
| ( cons(hd(skaf75(X0)),tl(skaf75(X0))) = skaf75(X0) ) ),
inference(superposition,[status(thm)],[c_145750,c_10793]) ).
tcf(c_145769,plain,
! [X0: $i] : skaf46(skaf76(X0),nil) = skaf76(X0),
inference(demodulation,[status(thm)],[c_12985,c_9128]) ).
tcf(c_145772,plain,
! [X0: $i] :
( ( skaf46(skaf76(X0),nil) = nil )
| ( cons(hd(skaf76(X0)),tl(skaf76(X0))) = skaf76(X0) ) ),
inference(superposition,[status(thm)],[c_145769,c_10793]) ).
tcf(c_145788,plain,
! [X0: $i] : skaf46(skaf77(X0),nil) = skaf77(X0),
inference(demodulation,[status(thm)],[c_12986,c_9128]) ).
tcf(c_145791,plain,
! [X0: $i] :
( ( skaf46(skaf77(X0),nil) = nil )
| ( cons(hd(skaf77(X0)),tl(skaf77(X0))) = skaf77(X0) ) ),
inference(superposition,[status(thm)],[c_145788,c_10793]) ).
tcf(c_145809,plain,
( ( skaf46(cons(sk5,sk7),sk7) = nil )
| ( cons(hd(iPr_def_12),tl(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_145009,c_10793]) ).
tcf(c_145829,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_114691,c_401]) ).
tcf(c_145830,plain,
( ( app(sk7,skaf45(app(sk8,sk4),sk7)) = app(sk8,sk4) )
| ~ ssList(sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_114691,c_379]) ).
tcf(c_145831,plain,
( ( app(sk8,sk4) = sk7 )
| ~ ssList(sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk7,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_114691,c_376]) ).
tcf(c_145832,plain,
( ( app(sk8,sk4) = sk7 )
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(sk7,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145831,c_6483,c_112727]) ).
tcf(c_145836,plain,
( ( app(sk7,skaf45(app(sk8,sk4),sk7)) = app(sk8,sk4) )
| ~ frontsegP(sk8,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145830,c_6483,c_112727]) ).
tcf(c_145839,plain,
! [X0: $i] :
( frontsegP(X0,sk7)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145829,c_6483,c_112727]) ).
tcf(c_145845,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_12,cons(sk5,sk4))))
| ( app(iPr_def_12,cons(sk5,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(app(iPr_def_12,cons(sk5,sk4)))
| ~ ssList(app(iPr_def_12,cons(sk5,sk4))) ),
inference(superposition,[status(thm)],[c_124192,c_407]) ).
tcf(c_145846,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_12,cons(sk5,sk4))))
| ( app(iPr_def_12,cons(sk5,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(app(iPr_def_12,cons(sk5,sk4)))
| ~ ssList(app(iPr_def_12,cons(sk5,sk4))) ),
inference(superposition,[status(thm)],[c_124192,c_406]) ).
tcf(c_145862,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_12,cons(sk6,sk4))))
| ( app(iPr_def_12,cons(sk6,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(app(iPr_def_12,cons(sk6,sk4)))
| ~ ssList(app(iPr_def_12,cons(sk6,sk4))) ),
inference(superposition,[status(thm)],[c_124193,c_407]) ).
tcf(c_145863,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_12,cons(sk6,sk4))))
| ( app(iPr_def_12,cons(sk6,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(app(iPr_def_12,cons(sk6,sk4)))
| ~ ssList(app(iPr_def_12,cons(sk6,sk4))) ),
inference(superposition,[status(thm)],[c_124193,c_406]) ).
tcf(c_145890,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk4),X1)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(X0,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_133007,c_401]) ).
tcf(c_145891,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,app(sk4,sk7)),X0)) = cons(sk6,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk4),X0)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_133007,c_379]) ).
tcf(c_145892,plain,
! [X0: $i] :
( ( cons(sk6,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk4),X0)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(X0,cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_133007,c_376]) ).
tcf(c_145893,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk4),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_133007,c_423]) ).
tcf(c_145894,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sk4,sk7),X1)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk4),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_133007,c_421]) ).
tcf(c_145895,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(cons(sk6,sk4),iPr_def_13)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_133007,c_15594]) ).
tcf(c_145896,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(cons(sk6,sk4),iPr_def_15)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_133007,c_28779]) ).
tcf(c_145897,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(cons(sk6,sk4),iPr_def_16)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_133007,c_26336]) ).
tcf(c_145909,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_133007,c_92800]) ).
tcf(c_145910,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_133007,c_89322]) ).
tcf(c_145911,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_133007,c_91606]) ).
tcf(c_145912,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_133007,c_91570]) ).
tcf(c_145913,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_133007,c_115687]) ).
tcf(c_145914,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_133007,c_112396]) ).
tcf(c_145915,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_133007,c_115675]) ).
tcf(c_145916,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_133007,c_114631]) ).
tcf(c_145917,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_133007,c_124725]) ).
tcf(c_145918,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_133007,c_122728]) ).
tcf(c_145919,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_133007,c_124713]) ).
tcf(c_145920,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_133007,c_124701]) ).
tcf(c_145921,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_133007,c_108921]) ).
tcf(c_145922,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_133007,c_107545]) ).
tcf(c_145923,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_133007,c_107525]) ).
tcf(c_145924,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk4),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145897,c_9020,c_132980]) ).
tcf(c_145927,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk4),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145896,c_24748,c_132980]) ).
tcf(c_145930,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk4),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145895,c_9527,c_132980]) ).
tcf(c_145933,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ frontsegP(cons(sk6,sk4),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145918,c_112727,c_132980]) ).
tcf(c_145936,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk4),app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145914,c_89458,c_132980]) ).
tcf(c_145939,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ frontsegP(cons(sk6,sk4),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145910,c_79152,c_132980]) ).
tcf(c_145942,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk4),X1)
| ~ frontsegP(X0,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145890,c_132980]) ).
tcf(c_145948,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(cons(sk6,sk4),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145923,c_66402,c_132980]) ).
tcf(c_145952,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(cons(sk6,sk4),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145922,c_66402,c_132980]) ).
tcf(c_145956,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(cons(sk6,sk4),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145921,c_66402,c_132980]) ).
tcf(c_145960,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ frontsegP(cons(sk6,sk4),app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145920,c_112795,c_132980]) ).
tcf(c_145963,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ frontsegP(cons(sk6,sk4),app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145919,c_112798,c_132980]) ).
tcf(c_145966,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk8)
| ~ frontsegP(cons(sk6,sk4),app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145917,c_112801,c_132980]) ).
tcf(c_145969,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk4),app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145916,c_89535,c_132980]) ).
tcf(c_145972,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk4),app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145915,c_89538,c_132980]) ).
tcf(c_145975,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk4),app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145913,c_89541,c_132980]) ).
tcf(c_145978,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ frontsegP(cons(sk6,sk4),app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145912,c_79220,c_132980]) ).
tcf(c_145981,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ frontsegP(cons(sk6,sk4),app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145911,c_79223,c_132980]) ).
tcf(c_145984,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk4)
| ~ frontsegP(cons(sk6,sk4),app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145909,c_79226,c_132980]) ).
tcf(c_145987,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk4),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145893,c_6484]) ).
tcf(c_145994,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sk4,sk7),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk4),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145894,c_6484]) ).
tcf(c_146001,plain,
! [X0: $i] :
( ( cons(sk6,app(sk4,sk7)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk4),X0)
| ~ frontsegP(X0,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145892,c_132980]) ).
tcf(c_146006,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,app(sk4,sk7)),X0)) = cons(sk6,app(sk4,sk7)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145891,c_132980]) ).
tcf(c_146033,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk4,sk7)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk4,sk7))))) = cons(sk6,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk4),X0)
| ~ ssList(cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_133011,c_416]) ).
tcf(c_146034,plain,
! [X0: $i] :
( memberP(app(sk4,sk7),X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk7))
| ~ memberP(cons(sk6,sk4),X0) ),
inference(superposition,[status(thm)],[c_133011,c_408]) ).
tcf(c_146035,plain,
! [X0: $i] :
( memberP(app(sk4,sk7),X0)
| ( X0 = sk6 )
| ~ ssItem(X0)
| ~ ssList(app(sk4,sk7))
| ~ memberP(cons(sk6,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146034,c_6484]) ).
tcf(c_146041,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk4,sk7)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk4,sk7))))) = cons(sk6,app(sk4,sk7)) )
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146033,c_132980]) ).
tcf(c_146047,plain,
~ rearsegP(sk7,cons(sk6,app(sk4,sk7))),
inference(global_subsumption_just,[status(thm)],[c_133946,c_132991,c_133946]) ).
tcf(c_146116,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk7)),sk7))
| ~ ssList(app(app(skaf46(cons(sk6,app(sk4,sk7)),sk7),sk7),X0)) ),
inference(superposition,[status(thm)],[c_133949,c_420]) ).
tcf(c_146117,plain,
! [X0: $i] :
( ( skaf46(cons(sk6,app(sk4,sk7)),sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk7)),sk7))
| ( cons(sk6,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_133949,c_398]) ).
tcf(c_146119,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(cons(sk6,app(sk4,sk7)),sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk4,sk7)),X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_133949,c_405]) ).
tcf(c_146122,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),skaf46(cons(sk6,app(sk4,sk7)),sk7))
| ~ ssList(sk7)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_133949,c_808]) ).
tcf(c_146124,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_133949,c_388]) ).
tcf(c_146125,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_133949,c_383]) ).
tcf(c_146126,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk7)),sk7))
| ( app(skaf46(cons(sk6,app(sk4,sk7)),sk7),X0) != cons(sk6,app(sk4,sk7)) ) ),
inference(superposition,[status(thm)],[c_133949,c_397]) ).
tcf(c_146127,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk7)),sk7))
| ~ memberP(skaf46(cons(sk6,app(sk4,sk7)),sk7),X0) ),
inference(superposition,[status(thm)],[c_133949,c_387]) ).
tcf(c_146128,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk4,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk7)),sk7))
| ~ frontsegP(skaf46(cons(sk6,app(sk4,sk7)),sk7),X0) ),
inference(superposition,[status(thm)],[c_133949,c_384]) ).
tcf(c_146129,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk4,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_133949,c_419]) ).
tcf(c_146130,plain,
( ( skaf46(cons(sk6,app(sk4,sk7)),sk7) = iPr_def_12 )
| ~ ssList(skaf46(cons(sk6,app(sk4,sk7)),sk7))
| ( cons(sk6,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_133949,c_127350]) ).
tcf(c_146131,plain,
( ( skaf46(cons(sk6,app(sk4,sk7)),sk7) = iPr_def_14 )
| ~ ssList(skaf46(cons(sk6,app(sk4,sk7)),sk7))
| ( cons(sk6,app(sk4,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_133949,c_51335]) ).
tcf(c_146133,plain,
frontsegP(cons(sk6,app(sk4,sk7)),skaf46(cons(sk6,app(sk4,sk7)),sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_146122,c_6483,c_297]) ).
tcf(c_146136,plain,
( ( skaf46(cons(sk6,app(sk4,sk7)),sk7) = iPr_def_14 )
| ( cons(sk6,app(sk4,sk7)) != cons(sk6,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146131,c_297]) ).
tcf(c_146139,plain,
( ( skaf46(cons(sk6,app(sk4,sk7)),sk7) = iPr_def_12 )
| ( cons(sk6,app(sk4,sk7)) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146130,c_297]) ).
tcf(c_146143,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk4,sk7)),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(cons(sk6,app(sk4,sk7)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146128,c_6483,c_297]) ).
tcf(c_146147,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk4,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(cons(sk6,app(sk4,sk7)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146127,c_6483,c_297]) ).
tcf(c_146151,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(cons(sk6,app(sk4,sk7)),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk4,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146119,c_6483,c_297]) ).
tcf(c_146156,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(skaf46(cons(sk6,app(sk4,sk7)),sk7),X0) != cons(sk6,app(sk4,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146126,c_6483,c_297]) ).
tcf(c_146160,plain,
! [X0: $i] :
( ( skaf46(cons(sk6,app(sk4,sk7)),sk7) = X0 )
| ~ ssList(X0)
| ( cons(sk6,app(sk4,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146117,c_6483,c_297]) ).
tcf(c_146164,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk4,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk4,sk7)),sk7))
| ~ ssList(app(cons(sk6,app(sk4,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_146116,c_133949]) ).
tcf(c_146171,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,app(sk4,sk7)),sk7))
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(X0,cons(sk6,app(sk4,sk7)))
| ~ ssList(skaf46(cons(sk6,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_146133,c_401]) ).
tcf(c_146172,plain,
( ( app(skaf46(cons(sk6,app(sk4,sk7)),sk7),skaf45(cons(sk6,app(sk4,sk7)),skaf46(cons(sk6,app(sk4,sk7)),sk7))) = cons(sk6,app(sk4,sk7)) )
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ ssList(skaf46(cons(sk6,app(sk4,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_146133,c_379]) ).
tcf(c_146173,plain,
( ( skaf46(cons(sk6,app(sk4,sk7)),sk7) = cons(sk6,app(sk4,sk7)) )
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ ssList(skaf46(cons(sk6,app(sk4,sk7)),sk7))
| ~ frontsegP(skaf46(cons(sk6,app(sk4,sk7)),sk7),cons(sk6,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_146133,c_376]) ).
tcf(c_146174,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,app(sk4,sk7)),sk7))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146171,c_132980,c_297]) ).
tcf(c_146178,plain,
( ( skaf46(cons(sk6,app(sk4,sk7)),sk7) = cons(sk6,app(sk4,sk7)) )
| ~ frontsegP(skaf46(cons(sk6,app(sk4,sk7)),sk7),cons(sk6,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146173,c_132980,c_297]) ).
tcf(c_146181,plain,
app(skaf46(cons(sk6,app(sk4,sk7)),sk7),skaf45(cons(sk6,app(sk4,sk7)),skaf46(cons(sk6,app(sk4,sk7)),sk7))) = cons(sk6,app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_146172,c_132980,c_297]) ).
tcf(c_146193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf57(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf57(X1)))
| ~ ssList(skaf82(skaf57(X1)))
| ~ leq(X2,skaf83(skaf57(X1)))
| ~ leq(skaf83(skaf57(X1)),X2)
| ~ ssList(app(app(X0,skaf57(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf57(X1)),skaf82(skaf57(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11002,c_432]) ).
tcf(c_146194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf57(X1)))
| leq(skaf83(skaf57(X1)),X2)
| ( skaf57(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf57(X1)))
| ~ ssList(skaf82(skaf57(X1)))
| ~ ssList(app(app(X0,skaf57(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf57(X1)),skaf82(skaf57(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11002,c_431]) ).
tcf(c_146195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf57(X1)))
| lt(skaf83(skaf57(X1)),X2)
| ( skaf57(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf57(X1)))
| ~ ssList(skaf82(skaf57(X1)))
| ~ ssList(app(app(X0,skaf57(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf57(X1)),skaf82(skaf57(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11002,c_430]) ).
tcf(c_146196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf57(X1)),X2)
| ( skaf57(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf57(X1)))
| ~ ssList(skaf82(skaf57(X1)))
| ~ ssList(app(app(X0,skaf57(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf57(X1)),skaf82(skaf57(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11002,c_429]) ).
tcf(c_146197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf57(X1)),X2)
| ( skaf57(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf57(X1)))
| ~ ssList(skaf82(skaf57(X1)))
| ~ ssList(app(app(X0,skaf57(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf57(X1)),skaf82(skaf57(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11002,c_428]) ).
tcf(c_146198,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf57(X1)))
| ~ ssList(skaf82(skaf57(X1)))
| ~ ssList(app(app(X0,skaf57(X1)),cons(skaf83(skaf57(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf57(X1)),skaf82(skaf57(X1)))),cons(skaf83(skaf57(X1)),X2))) ),
inference(superposition,[status(thm)],[c_11002,c_426]) ).
tcf(c_146199,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf57(X1)),skaf83(skaf57(X1)))
| ( skaf57(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf57(X1)))
| ~ ssList(skaf82(skaf57(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf57(X1)),skaf82(skaf57(X1))))) ),
inference(superposition,[status(thm)],[c_11002,c_422]) ).
tcf(c_146200,plain,
! [X0: $i] :
( memberP(skaf57(X0),skaf83(skaf57(X0)))
| ( skaf57(X0) = nil )
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_11002,c_385]) ).
tcf(c_146202,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( skaf82(skaf57(X0)) = nil )
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0)))
| ( skaf57(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11002,c_21847]) ).
tcf(c_146203,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( skaf82(skaf57(X0)) = nil )
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0)))
| ( skaf57(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11002,c_21842]) ).
tcf(c_146204,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( skaf83(skaf57(X0)) = sk5 )
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0)))
| ( skaf57(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11002,c_21750]) ).
tcf(c_146205,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( skaf83(skaf57(X0)) = sk6 )
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0)))
| ( skaf57(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11002,c_21745]) ).
tcf(c_146206,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( skaf83(skaf57(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf57(X0))
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_11002,c_21595]) ).
tcf(c_146207,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( skaf83(skaf57(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf57(X0))
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_11002,c_21590]) ).
tcf(c_146208,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( skaf83(skaf57(X0)) = sk5 )
| ~ frontsegP(skaf57(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_11002,c_21585]) ).
tcf(c_146209,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( skaf83(skaf57(X0)) = sk6 )
| ~ frontsegP(skaf57(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_11002,c_21580]) ).
tcf(c_146210,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf57(X0)))
| ( skaf57(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf57(X0))
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_11002,c_21202]) ).
tcf(c_146211,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf57(X0)))
| ( skaf57(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf57(X0))
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_11002,c_21197]) ).
tcf(c_146214,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X0) = nil )
| ( skaf83(skaf57(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0)))
| ~ frontsegP(skaf57(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_11002,c_423]) ).
tcf(c_146215,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf57(X0)),X2)
| ( skaf57(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0)))
| ~ frontsegP(skaf57(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_11002,c_421]) ).
tcf(c_146216,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf57(X0)),X1)
| ( skaf57(X0) = nil )
| ( skaf83(skaf57(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0)))
| ~ memberP(skaf57(X0),X1) ),
inference(superposition,[status(thm)],[c_11002,c_408]) ).
tcf(c_146217,plain,
! [X0: $i] :
( leq(skaf83(skaf57(X0)),hd(skaf82(skaf57(X0))))
| ( skaf57(X0) = nil )
| ( skaf82(skaf57(X0)) = nil )
| ~ totalorderedP(skaf57(X0))
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_11002,c_382]) ).
tcf(c_146218,plain,
! [X0: $i] :
( lt(skaf83(skaf57(X0)),hd(skaf82(skaf57(X0))))
| ( skaf57(X0) = nil )
| ( skaf82(skaf57(X0)) = nil )
| ~ strictorderedP(skaf57(X0))
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_11002,c_381]) ).
tcf(c_146219,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf57(X0)))
| ( skaf57(X0) = nil )
| ( skaf82(skaf57(X0)) = nil )
| ~ totalorderedP(skaf57(X0))
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_11002,c_372]) ).
tcf(c_146220,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf57(X0)))
| ( skaf57(X0) = nil )
| ( skaf82(skaf57(X0)) = nil )
| ~ strictorderedP(skaf57(X0))
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0))) ),
inference(superposition,[status(thm)],[c_11002,c_371]) ).
tcf(c_146221,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0)))
| ( skaf82(skaf57(X0)) != skaf57(X0) ) ),
inference(superposition,[status(thm)],[c_11002,c_346]) ).
tcf(c_146223,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf57(X1)),X0),skaf57(X1))
| ( skaf57(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf57(X1)))
| ~ ssList(skaf82(skaf57(X1)))
| ~ frontsegP(X0,skaf82(skaf57(X1))) ),
inference(superposition,[status(thm)],[c_11002,c_425]) ).
tcf(c_146224,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X2) = nil )
| ( skaf83(skaf57(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf57(X2)))
| ~ ssList(skaf82(skaf57(X2)))
| ~ ssList(app(X0,cons(X1,skaf57(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf57(X2)),skaf82(skaf57(X2)))))) ),
inference(superposition,[status(thm)],[c_11002,c_427]) ).
tcf(c_146225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X2) = nil )
| ( skaf82(skaf57(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf57(X2)))
| ~ ssList(skaf82(skaf57(X2)))
| ( cons(X0,X1) != skaf57(X2) ) ),
inference(superposition,[status(thm)],[c_11002,c_418]) ).
tcf(c_146226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X2) = nil )
| ( skaf83(skaf57(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf57(X2)))
| ~ ssList(skaf82(skaf57(X2)))
| ( cons(X0,X1) != skaf57(X2) ) ),
inference(superposition,[status(thm)],[c_11002,c_417]) ).
tcf(c_146227,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X2) = nil )
| ( skaf83(skaf57(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf57(X2)))
| ~ ssList(skaf82(skaf57(X2)))
| ~ frontsegP(cons(X0,X1),skaf57(X2)) ),
inference(superposition,[status(thm)],[c_11002,c_423]) ).
tcf(c_146228,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf57(X2)))
| ( skaf57(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf57(X2)))
| ~ ssList(skaf82(skaf57(X2)))
| ~ frontsegP(cons(X0,X1),skaf57(X2)) ),
inference(superposition,[status(thm)],[c_11002,c_421]) ).
tcf(c_146229,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf57(X0),cons(skaf83(skaf57(X0)),X1))
| ( skaf57(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0)))
| ~ frontsegP(skaf82(skaf57(X0)),X1) ),
inference(superposition,[status(thm)],[c_11002,c_425]) ).
tcf(c_146230,plain,
! [X0: $i,X1: $i] :
( memberP(skaf57(X0),X1)
| ( skaf57(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf57(X0)))
| ~ ssList(skaf82(skaf57(X0)))
| ~ memberP(skaf82(skaf57(X0)),X1) ),
inference(superposition,[status(thm)],[c_11002,c_386]) ).
tcf(c_146231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf57(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf57(X3)))
| ~ ssList(skaf82(skaf57(X3)))
| ~ leq(X1,skaf83(skaf57(X3)))
| ~ leq(skaf83(skaf57(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf57(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf57(X3)),skaf82(skaf57(X3))))) ),
inference(superposition,[status(thm)],[c_11002,c_432]) ).
tcf(c_146232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf57(X3)))
| leq(skaf83(skaf57(X3)),X1)
| ( skaf57(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf57(X3)))
| ~ ssList(skaf82(skaf57(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf57(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf57(X3)),skaf82(skaf57(X3))))) ),
inference(superposition,[status(thm)],[c_11002,c_431]) ).
tcf(c_146233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf57(X3)))
| lt(skaf83(skaf57(X3)),X1)
| ( skaf57(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf57(X3)))
| ~ ssList(skaf82(skaf57(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf57(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf57(X3)),skaf82(skaf57(X3))))) ),
inference(superposition,[status(thm)],[c_11002,c_430]) ).
tcf(c_146234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf57(X3)))
| ( skaf57(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf57(X3)))
| ~ ssList(skaf82(skaf57(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf57(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf57(X3)),skaf82(skaf57(X3))))) ),
inference(superposition,[status(thm)],[c_11002,c_429]) ).
tcf(c_146235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf57(X3)))
| ( skaf57(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf57(X3)))
| ~ ssList(skaf82(skaf57(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf57(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf57(X3)),skaf82(skaf57(X3))))) ),
inference(superposition,[status(thm)],[c_11002,c_428]) ).
tcf(c_146236,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf57(X1)))
| ~ ssList(skaf82(skaf57(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf57(X1)),X2)),skaf57(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf57(X1)),X2)),cons(skaf83(skaf57(X1)),skaf82(skaf57(X1))))) ),
inference(superposition,[status(thm)],[c_11002,c_426]) ).
tcf(c_146237,plain,
! [X0: $i] :
( memberP(skaf57(X0),skaf83(skaf57(X0)))
| ( skaf57(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146200,c_259,c_260]) ).
tcf(c_146240,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( skaf82(skaf57(X0)) != skaf57(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146221,c_259,c_260]) ).
tcf(c_146243,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf57(X0)))
| ( skaf57(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf57(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146211,c_259,c_260]) ).
tcf(c_146247,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf57(X0)))
| ( skaf57(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf57(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146210,c_259,c_260]) ).
tcf(c_146251,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( skaf83(skaf57(X0)) = sk6 )
| ~ frontsegP(skaf57(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146209,c_259,c_260]) ).
tcf(c_146255,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( skaf83(skaf57(X0)) = sk5 )
| ~ frontsegP(skaf57(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146208,c_259,c_260]) ).
tcf(c_146259,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( skaf83(skaf57(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf57(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146207,c_259,c_260]) ).
tcf(c_146263,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( skaf83(skaf57(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf57(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146206,c_259,c_260]) ).
tcf(c_146267,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( skaf83(skaf57(X0)) = sk6 )
| ( skaf57(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146205,c_259,c_260]) ).
tcf(c_146271,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( skaf83(skaf57(X0)) = sk5 )
| ( skaf57(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146204,c_259,c_260]) ).
tcf(c_146275,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( skaf82(skaf57(X0)) = nil )
| ( skaf57(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146203,c_259,c_260]) ).
tcf(c_146279,plain,
! [X0: $i] :
( ( skaf57(X0) = nil )
| ( skaf82(skaf57(X0)) = nil )
| ( skaf57(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146202,c_259,c_260]) ).
tcf(c_146283,plain,
! [X0: $i,X1: $i] :
( memberP(skaf57(X0),X1)
| ( skaf57(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf57(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146230,c_259,c_260]) ).
tcf(c_146288,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf57(X0)))
| ( skaf57(X0) = nil )
| ( skaf82(skaf57(X0)) = nil )
| ~ strictorderedP(skaf57(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146220,c_259,c_260]) ).
tcf(c_146293,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf57(X0)))
| ( skaf57(X0) = nil )
| ( skaf82(skaf57(X0)) = nil )
| ~ totalorderedP(skaf57(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146219,c_259,c_260]) ).
tcf(c_146298,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf57(X0),cons(skaf83(skaf57(X0)),X1))
| ( skaf57(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf57(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146229,c_259,c_260]) ).
tcf(c_146303,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf57(X1)),X0),skaf57(X1))
| ( skaf57(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf57(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146223,c_259,c_260]) ).
tcf(c_146308,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf57(X2)))
| ( skaf57(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf57(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146228,c_259,c_260]) ).
tcf(c_146314,plain,
! [X0: $i] :
( lt(skaf83(skaf57(X0)),hd(skaf82(skaf57(X0))))
| ( skaf57(X0) = nil )
| ( skaf82(skaf57(X0)) = nil )
| ~ strictorderedP(skaf57(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146218,c_259,c_260]) ).
tcf(c_146319,plain,
! [X0: $i] :
( leq(skaf83(skaf57(X0)),hd(skaf82(skaf57(X0))))
| ( skaf57(X0) = nil )
| ( skaf82(skaf57(X0)) = nil )
| ~ totalorderedP(skaf57(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146217,c_259,c_260]) ).
tcf(c_146324,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf57(X0)),X2)
| ( skaf57(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf57(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146215,c_259,c_260]) ).
tcf(c_146330,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X2) = nil )
| ( skaf83(skaf57(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf57(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146227,c_259,c_260]) ).
tcf(c_146336,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf57(X0)),X1)
| ( skaf57(X0) = nil )
| ( skaf83(skaf57(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf57(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146216,c_259,c_260]) ).
tcf(c_146342,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X0) = nil )
| ( skaf83(skaf57(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf57(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146214,c_259,c_260]) ).
tcf(c_146348,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X2) = nil )
| ( skaf83(skaf57(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf57(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146226,c_259,c_260]) ).
tcf(c_146354,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X2) = nil )
| ( skaf82(skaf57(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf57(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146225,c_259,c_260]) ).
tcf(c_146360,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf57(X1)),skaf83(skaf57(X1)))
| ( skaf57(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf57(X1)),skaf82(skaf57(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146199,c_259,c_260]) ).
tcf(c_146365,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X2) = nil )
| ( skaf83(skaf57(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf57(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf57(X2)),skaf82(skaf57(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146224,c_259,c_260]) ).
tcf(c_146372,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf57(X1)),X2)),skaf57(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf57(X1)),X2)),cons(skaf83(skaf57(X1)),skaf82(skaf57(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146236,c_259,c_260]) ).
tcf(c_146378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf57(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf57(X1)),cons(skaf83(skaf57(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf57(X1)),skaf82(skaf57(X1)))),cons(skaf83(skaf57(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146198,c_259,c_260]) ).
tcf(c_146384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf57(X3)))
| ( skaf57(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf57(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf57(X3)),skaf82(skaf57(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146235,c_259,c_260]) ).
tcf(c_146392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf57(X3)))
| ( skaf57(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf57(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf57(X3)),skaf82(skaf57(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146234,c_259,c_260]) ).
tcf(c_146400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf57(X1)),X2)
| ( skaf57(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf57(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf57(X1)),skaf82(skaf57(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146197,c_259,c_260]) ).
tcf(c_146408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf57(X1)),X2)
| ( skaf57(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf57(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf57(X1)),skaf82(skaf57(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146196,c_259,c_260]) ).
tcf(c_146416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf57(X3)))
| lt(skaf83(skaf57(X3)),X1)
| ( skaf57(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf57(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf57(X3)),skaf82(skaf57(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146233,c_259,c_260]) ).
tcf(c_146425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf57(X3)))
| leq(skaf83(skaf57(X3)),X1)
| ( skaf57(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf57(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf57(X3)),skaf82(skaf57(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146232,c_259,c_260]) ).
tcf(c_146434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf57(X1)))
| lt(skaf83(skaf57(X1)),X2)
| ( skaf57(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf57(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf57(X1)),skaf82(skaf57(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146195,c_259,c_260]) ).
tcf(c_146443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf57(X1)))
| leq(skaf83(skaf57(X1)),X2)
| ( skaf57(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf57(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf57(X1)),skaf82(skaf57(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146194,c_259,c_260]) ).
tcf(c_146452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf57(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf57(X3)))
| ~ leq(skaf83(skaf57(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf57(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf57(X3)),skaf82(skaf57(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146231,c_259,c_260]) ).
tcf(c_146461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf57(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf57(X1)))
| ~ leq(skaf83(skaf57(X1)),X2)
| ~ ssList(app(app(X0,skaf57(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf57(X1)),skaf82(skaf57(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146193,c_259,c_260]) ).
tcf(c_146582,plain,
! [X0: $i] : skaf46(skaf80(X0),nil) = skaf80(X0),
inference(demodulation,[status(thm)],[c_12987,c_9128]) ).
tcf(c_146585,plain,
! [X0: $i] :
( ( skaf46(skaf80(X0),nil) = nil )
| ( cons(hd(skaf80(X0)),tl(skaf80(X0))) = skaf80(X0) ) ),
inference(superposition,[status(thm)],[c_146582,c_10793]) ).
tcf(c_146601,plain,
! [X0: $i] : skaf46(skaf81(X0),nil) = skaf81(X0),
inference(demodulation,[status(thm)],[c_12988,c_9128]) ).
tcf(c_146604,plain,
! [X0: $i] :
( ( skaf46(skaf81(X0),nil) = nil )
| ( cons(hd(skaf81(X0)),tl(skaf81(X0))) = skaf81(X0) ) ),
inference(superposition,[status(thm)],[c_146601,c_10793]) ).
tcf(c_146620,plain,
! [X0: $i] : skaf46(skaf82(X0),nil) = skaf82(X0),
inference(demodulation,[status(thm)],[c_12989,c_9128]) ).
tcf(c_146625,plain,
! [X0: $i] :
( ( skaf46(skaf82(X0),nil) = nil )
| ( cons(hd(skaf82(X0)),tl(skaf82(X0))) = skaf82(X0) ) ),
inference(superposition,[status(thm)],[c_146620,c_10793]) ).
tcf(c_146650,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_12,cons(sk6,sk7))))
| ( app(iPr_def_12,cons(sk6,sk7)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(app(iPr_def_12,cons(sk6,sk7)))
| ~ ssList(app(iPr_def_12,cons(sk6,sk7))) ),
inference(superposition,[status(thm)],[c_124194,c_407]) ).
tcf(c_146651,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_12,cons(sk6,sk7))))
| ( app(iPr_def_12,cons(sk6,sk7)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(app(iPr_def_12,cons(sk6,sk7)))
| ~ ssList(app(iPr_def_12,cons(sk6,sk7))) ),
inference(superposition,[status(thm)],[c_124194,c_406]) ).
tcf(c_146667,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_12,cons(sk6,sk8))))
| ( app(iPr_def_12,cons(sk6,sk8)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(app(iPr_def_12,cons(sk6,sk8)))
| ~ ssList(app(iPr_def_12,cons(sk6,sk8))) ),
inference(superposition,[status(thm)],[c_124195,c_407]) ).
tcf(c_146668,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_12,cons(sk6,sk8))))
| ( app(iPr_def_12,cons(sk6,sk8)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(app(iPr_def_12,cons(sk6,sk8)))
| ~ ssList(app(iPr_def_12,cons(sk6,sk8))) ),
inference(superposition,[status(thm)],[c_124195,c_406]) ).
tcf(c_146684,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_12,app(sk4,sk4))))
| ( app(iPr_def_12,app(sk4,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(app(iPr_def_12,app(sk4,sk4)))
| ~ ssList(app(iPr_def_12,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_124196,c_407]) ).
tcf(c_146685,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_12,app(sk4,sk4))))
| ( app(iPr_def_12,app(sk4,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(app(iPr_def_12,app(sk4,sk4)))
| ~ ssList(app(iPr_def_12,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_124196,c_406]) ).
tcf(c_146701,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_12,app(sk7,sk4))))
| ( app(iPr_def_12,app(sk7,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(app(iPr_def_12,app(sk7,sk4)))
| ~ ssList(app(iPr_def_12,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_124197,c_407]) ).
tcf(c_146702,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_12,app(sk7,sk4))))
| ( app(iPr_def_12,app(sk7,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(app(iPr_def_12,app(sk7,sk4)))
| ~ ssList(app(iPr_def_12,app(sk7,sk4))) ),
inference(superposition,[status(thm)],[c_124197,c_406]) ).
tcf(c_146731,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_384,c_134030]) ).
tcf(c_146732,plain,
! [X0: $i] :
( frontsegP(app(app(sk4,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(app(sk4,sk4),X0)) ),
inference(superposition,[status(thm)],[c_808,c_134030]) ).
tcf(c_146733,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_134030]) ).
tcf(c_146734,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_51316,c_134030]) ).
tcf(c_146735,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_51801,c_134030]) ).
tcf(c_146747,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk8,app(sk4,sk4))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_134030]) ).
tcf(c_146748,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_112748,c_134030]) ).
tcf(c_146749,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk8,app(sk4,sk4))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_134030]) ).
tcf(c_146750,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk8,app(sk4,sk4))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_134030]) ).
tcf(c_146751,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_134030]) ).
tcf(c_146752,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_127325,c_134030]) ).
tcf(c_146753,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_68249,c_134030]) ).
tcf(c_146754,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_68556,c_134030]) ).
tcf(c_146755,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_68986,c_134030]) ).
tcf(c_146756,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_124798,c_134030]) ).
tcf(c_146757,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_133007,c_134030]) ).
tcf(c_146758,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(iPr_def_12,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146752,c_79152,c_127316]) ).
tcf(c_146762,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(iPr_def_12,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146751,c_79152,c_66402]) ).
tcf(c_146766,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146748,c_112727,c_79152]) ).
tcf(c_146770,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146735,c_79152,c_28938]) ).
tcf(c_146774,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146734,c_79152,c_28940]) ).
tcf(c_146778,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146733,c_79152,c_28942]) ).
tcf(c_146782,plain,
! [X0: $i] :
( frontsegP(app(app(sk4,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(app(sk4,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146732,c_79152]) ).
tcf(c_146787,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146750,c_79152,c_112795]) ).
tcf(c_146791,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146749,c_79152,c_112798]) ).
tcf(c_146795,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146747,c_79152,c_112801]) ).
tcf(c_146799,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(cons(sk6,sk4),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146757,c_79152,c_132980]) ).
tcf(c_146803,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(cons(sk5,sk4),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146756,c_79152,c_124771]) ).
tcf(c_146807,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(cons(sk6,sk8),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146755,c_79152,c_68959]) ).
tcf(c_146811,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(cons(sk6,sk7),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146754,c_79152,c_68529]) ).
tcf(c_146815,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(cons(sk6,sk4),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146753,c_79152,c_68222]) ).
tcf(c_146819,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146731,c_79152]) ).
tcf(c_146891,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_384,c_134056]) ).
tcf(c_146892,plain,
! [X0: $i] :
( frontsegP(app(app(sk4,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(app(sk4,sk4),X0)) ),
inference(superposition,[status(thm)],[c_808,c_134056]) ).
tcf(c_146893,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_134056]) ).
tcf(c_146894,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_51316,c_134056]) ).
tcf(c_146895,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_51801,c_134056]) ).
tcf(c_146907,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk8,app(sk4,sk4))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_134056]) ).
tcf(c_146908,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_112748,c_134056]) ).
tcf(c_146909,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk8,app(sk4,sk4))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_134056]) ).
tcf(c_146910,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk8,app(sk4,sk4))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_134056]) ).
tcf(c_146911,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_134056]) ).
tcf(c_146912,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_127325,c_134056]) ).
tcf(c_146913,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_68249,c_134056]) ).
tcf(c_146914,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_68556,c_134056]) ).
tcf(c_146915,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_68986,c_134056]) ).
tcf(c_146916,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_124798,c_134056]) ).
tcf(c_146917,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_133007,c_134056]) ).
tcf(c_146918,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(iPr_def_12,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146912,c_79152,c_127316]) ).
tcf(c_146922,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(iPr_def_12,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146911,c_79152,c_66402]) ).
tcf(c_146926,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146908,c_112727,c_79152]) ).
tcf(c_146930,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146895,c_79152,c_28938]) ).
tcf(c_146934,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146894,c_79152,c_28940]) ).
tcf(c_146938,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146893,c_79152,c_28942]) ).
tcf(c_146942,plain,
! [X0: $i] :
( frontsegP(app(app(sk4,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(app(sk4,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146892,c_79152]) ).
tcf(c_146947,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146910,c_79152,c_112795]) ).
tcf(c_146951,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146909,c_79152,c_112798]) ).
tcf(c_146955,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146907,c_79152,c_112801]) ).
tcf(c_146959,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(cons(sk6,sk4),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146917,c_79152,c_132980]) ).
tcf(c_146963,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(cons(sk5,sk4),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146916,c_79152,c_124771]) ).
tcf(c_146967,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(cons(sk6,sk8),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146915,c_79152,c_68959]) ).
tcf(c_146971,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(cons(sk6,sk7),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146914,c_79152,c_68529]) ).
tcf(c_146975,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(cons(sk6,sk4),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146913,c_79152,c_68222]) ).
tcf(c_146979,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146891,c_79152]) ).
tcf(c_147040,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk7),X1)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(X0,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134188,c_401]) ).
tcf(c_147041,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,app(sk7,sk7)),X0)) = cons(sk6,app(sk7,sk7)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk7),X0)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134188,c_379]) ).
tcf(c_147042,plain,
! [X0: $i] :
( ( cons(sk6,app(sk7,sk7)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk7),X0)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(X0,cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134188,c_376]) ).
tcf(c_147043,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk7,sk7))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk7),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_134188,c_423]) ).
tcf(c_147044,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sk7,sk7),X1)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk7,sk7))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk7),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_134188,c_421]) ).
tcf(c_147045,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(cons(sk6,sk7),iPr_def_13)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134188,c_15594]) ).
tcf(c_147046,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(cons(sk6,sk7),iPr_def_15)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134188,c_28779]) ).
tcf(c_147047,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(cons(sk6,sk7),iPr_def_16)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134188,c_26336]) ).
tcf(c_147059,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134188,c_92800]) ).
tcf(c_147060,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_134188,c_134056]) ).
tcf(c_147061,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_134188,c_134030]) ).
tcf(c_147062,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_134188,c_89322]) ).
tcf(c_147063,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_134188,c_91606]) ).
tcf(c_147064,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_134188,c_91570]) ).
tcf(c_147065,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134188,c_115687]) ).
tcf(c_147066,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_134188,c_112396]) ).
tcf(c_147067,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_134188,c_115675]) ).
tcf(c_147068,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_134188,c_114631]) ).
tcf(c_147069,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134188,c_124725]) ).
tcf(c_147070,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_134188,c_122728]) ).
tcf(c_147071,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_134188,c_124713]) ).
tcf(c_147072,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_134188,c_124701]) ).
tcf(c_147073,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_134188,c_108921]) ).
tcf(c_147074,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_134188,c_107545]) ).
tcf(c_147075,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_134188,c_107525]) ).
tcf(c_147076,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk7),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147047,c_9020,c_134161]) ).
tcf(c_147079,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk7),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147046,c_24748,c_134161]) ).
tcf(c_147082,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk7),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147045,c_9527,c_134161]) ).
tcf(c_147085,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ frontsegP(cons(sk6,sk7),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147070,c_112727,c_134161]) ).
tcf(c_147088,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk7),app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147066,c_89458,c_134161]) ).
tcf(c_147091,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ frontsegP(cons(sk6,sk7),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147062,c_79152,c_134161]) ).
tcf(c_147094,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk7),X1)
| ~ frontsegP(X0,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147040,c_134161]) ).
tcf(c_147100,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(cons(sk6,sk7),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147075,c_66402,c_134161]) ).
tcf(c_147104,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(cons(sk6,sk7),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147074,c_66402,c_134161]) ).
tcf(c_147108,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(cons(sk6,sk7),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147073,c_66402,c_134161]) ).
tcf(c_147112,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ frontsegP(cons(sk6,sk7),app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147072,c_112795,c_134161]) ).
tcf(c_147115,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ frontsegP(cons(sk6,sk7),app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147071,c_112798,c_134161]) ).
tcf(c_147118,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk8)
| ~ frontsegP(cons(sk6,sk7),app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147069,c_112801,c_134161]) ).
tcf(c_147121,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk7),app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147068,c_89535,c_134161]) ).
tcf(c_147124,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk7),app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147067,c_89538,c_134161]) ).
tcf(c_147127,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk7),app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147065,c_89541,c_134161]) ).
tcf(c_147130,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ frontsegP(cons(sk6,sk7),app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147064,c_79220,c_134161]) ).
tcf(c_147133,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ frontsegP(cons(sk6,sk7),app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147063,c_79223,c_134161]) ).
tcf(c_147136,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(cons(sk6,sk7),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147061,c_79152,c_134161]) ).
tcf(c_147140,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(cons(sk6,sk7),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147060,c_79152,c_134161]) ).
tcf(c_147144,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk4)
| ~ frontsegP(cons(sk6,sk7),app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147059,c_79226,c_134161]) ).
tcf(c_147147,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk7,sk7))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk7),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147043,c_6484]) ).
tcf(c_147154,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sk7,sk7),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk7,sk7))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk7),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147044,c_6484]) ).
tcf(c_147161,plain,
! [X0: $i] :
( ( cons(sk6,app(sk7,sk7)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk7),X0)
| ~ frontsegP(X0,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147042,c_134161]) ).
tcf(c_147166,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,app(sk7,sk7)),X0)) = cons(sk6,app(sk7,sk7)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147041,c_134161]) ).
tcf(c_147230,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk7,sk7)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk7,sk7))))) = cons(sk6,app(sk7,sk7)) )
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk7),X0)
| ~ ssList(cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_134192,c_416]) ).
tcf(c_147231,plain,
! [X0: $i] :
( memberP(app(sk7,sk7),X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk7))
| ~ memberP(cons(sk6,sk7),X0) ),
inference(superposition,[status(thm)],[c_134192,c_408]) ).
tcf(c_147232,plain,
! [X0: $i] :
( memberP(app(sk7,sk7),X0)
| ( X0 = sk6 )
| ~ ssItem(X0)
| ~ ssList(app(sk7,sk7))
| ~ memberP(cons(sk6,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147231,c_6484]) ).
tcf(c_147238,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk7,sk7)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk7,sk7))))) = cons(sk6,app(sk7,sk7)) )
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147230,c_134161]) ).
tcf(c_147308,plain,
~ rearsegP(sk7,cons(sk6,app(sk7,sk7))),
inference(global_subsumption_just,[status(thm)],[c_134644,c_134172,c_134644]) ).
tcf(c_147314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf56(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf56(X1)))
| ~ ssList(skaf82(skaf56(X1)))
| ~ leq(X2,skaf83(skaf56(X1)))
| ~ leq(skaf83(skaf56(X1)),X2)
| ~ ssList(app(app(X0,skaf56(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf56(X1)),skaf82(skaf56(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11003,c_432]) ).
tcf(c_147315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf56(X1)))
| leq(skaf83(skaf56(X1)),X2)
| ( skaf56(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf56(X1)))
| ~ ssList(skaf82(skaf56(X1)))
| ~ ssList(app(app(X0,skaf56(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf56(X1)),skaf82(skaf56(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11003,c_431]) ).
tcf(c_147316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf56(X1)))
| lt(skaf83(skaf56(X1)),X2)
| ( skaf56(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf56(X1)))
| ~ ssList(skaf82(skaf56(X1)))
| ~ ssList(app(app(X0,skaf56(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf56(X1)),skaf82(skaf56(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11003,c_430]) ).
tcf(c_147317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf56(X1)),X2)
| ( skaf56(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf56(X1)))
| ~ ssList(skaf82(skaf56(X1)))
| ~ ssList(app(app(X0,skaf56(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf56(X1)),skaf82(skaf56(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11003,c_429]) ).
tcf(c_147318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf56(X1)),X2)
| ( skaf56(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf56(X1)))
| ~ ssList(skaf82(skaf56(X1)))
| ~ ssList(app(app(X0,skaf56(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf56(X1)),skaf82(skaf56(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11003,c_428]) ).
tcf(c_147319,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf56(X1)))
| ~ ssList(skaf82(skaf56(X1)))
| ~ ssList(app(app(X0,skaf56(X1)),cons(skaf83(skaf56(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf56(X1)),skaf82(skaf56(X1)))),cons(skaf83(skaf56(X1)),X2))) ),
inference(superposition,[status(thm)],[c_11003,c_426]) ).
tcf(c_147320,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf56(X1)),skaf83(skaf56(X1)))
| ( skaf56(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf56(X1)))
| ~ ssList(skaf82(skaf56(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf56(X1)),skaf82(skaf56(X1))))) ),
inference(superposition,[status(thm)],[c_11003,c_422]) ).
tcf(c_147321,plain,
! [X0: $i] :
( memberP(skaf56(X0),skaf83(skaf56(X0)))
| ( skaf56(X0) = nil )
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_11003,c_385]) ).
tcf(c_147323,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( skaf82(skaf56(X0)) = nil )
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0)))
| ( skaf56(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11003,c_21847]) ).
tcf(c_147324,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( skaf82(skaf56(X0)) = nil )
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0)))
| ( skaf56(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11003,c_21842]) ).
tcf(c_147325,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( skaf83(skaf56(X0)) = sk5 )
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0)))
| ( skaf56(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11003,c_21750]) ).
tcf(c_147326,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( skaf83(skaf56(X0)) = sk6 )
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0)))
| ( skaf56(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11003,c_21745]) ).
tcf(c_147327,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( skaf83(skaf56(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf56(X0))
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_11003,c_21595]) ).
tcf(c_147328,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( skaf83(skaf56(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf56(X0))
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_11003,c_21590]) ).
tcf(c_147329,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( skaf83(skaf56(X0)) = sk5 )
| ~ frontsegP(skaf56(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_11003,c_21585]) ).
tcf(c_147330,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( skaf83(skaf56(X0)) = sk6 )
| ~ frontsegP(skaf56(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_11003,c_21580]) ).
tcf(c_147331,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf56(X0)))
| ( skaf56(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf56(X0))
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_11003,c_21202]) ).
tcf(c_147332,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf56(X0)))
| ( skaf56(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf56(X0))
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_11003,c_21197]) ).
tcf(c_147335,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X0) = nil )
| ( skaf83(skaf56(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0)))
| ~ frontsegP(skaf56(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_11003,c_423]) ).
tcf(c_147336,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf56(X0)),X2)
| ( skaf56(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0)))
| ~ frontsegP(skaf56(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_11003,c_421]) ).
tcf(c_147337,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf56(X0)),X1)
| ( skaf56(X0) = nil )
| ( skaf83(skaf56(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0)))
| ~ memberP(skaf56(X0),X1) ),
inference(superposition,[status(thm)],[c_11003,c_408]) ).
tcf(c_147338,plain,
! [X0: $i] :
( leq(skaf83(skaf56(X0)),hd(skaf82(skaf56(X0))))
| ( skaf56(X0) = nil )
| ( skaf82(skaf56(X0)) = nil )
| ~ totalorderedP(skaf56(X0))
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_11003,c_382]) ).
tcf(c_147339,plain,
! [X0: $i] :
( lt(skaf83(skaf56(X0)),hd(skaf82(skaf56(X0))))
| ( skaf56(X0) = nil )
| ( skaf82(skaf56(X0)) = nil )
| ~ strictorderedP(skaf56(X0))
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_11003,c_381]) ).
tcf(c_147340,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf56(X0)))
| ( skaf56(X0) = nil )
| ( skaf82(skaf56(X0)) = nil )
| ~ totalorderedP(skaf56(X0))
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_11003,c_372]) ).
tcf(c_147341,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf56(X0)))
| ( skaf56(X0) = nil )
| ( skaf82(skaf56(X0)) = nil )
| ~ strictorderedP(skaf56(X0))
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0))) ),
inference(superposition,[status(thm)],[c_11003,c_371]) ).
tcf(c_147342,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0)))
| ( skaf82(skaf56(X0)) != skaf56(X0) ) ),
inference(superposition,[status(thm)],[c_11003,c_346]) ).
tcf(c_147344,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf56(X1)),X0),skaf56(X1))
| ( skaf56(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf56(X1)))
| ~ ssList(skaf82(skaf56(X1)))
| ~ frontsegP(X0,skaf82(skaf56(X1))) ),
inference(superposition,[status(thm)],[c_11003,c_425]) ).
tcf(c_147345,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X2) = nil )
| ( skaf83(skaf56(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf56(X2)))
| ~ ssList(skaf82(skaf56(X2)))
| ~ ssList(app(X0,cons(X1,skaf56(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf56(X2)),skaf82(skaf56(X2)))))) ),
inference(superposition,[status(thm)],[c_11003,c_427]) ).
tcf(c_147346,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X2) = nil )
| ( skaf82(skaf56(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf56(X2)))
| ~ ssList(skaf82(skaf56(X2)))
| ( cons(X0,X1) != skaf56(X2) ) ),
inference(superposition,[status(thm)],[c_11003,c_418]) ).
tcf(c_147347,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X2) = nil )
| ( skaf83(skaf56(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf56(X2)))
| ~ ssList(skaf82(skaf56(X2)))
| ( cons(X0,X1) != skaf56(X2) ) ),
inference(superposition,[status(thm)],[c_11003,c_417]) ).
tcf(c_147348,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X2) = nil )
| ( skaf83(skaf56(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf56(X2)))
| ~ ssList(skaf82(skaf56(X2)))
| ~ frontsegP(cons(X0,X1),skaf56(X2)) ),
inference(superposition,[status(thm)],[c_11003,c_423]) ).
tcf(c_147349,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf56(X2)))
| ( skaf56(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf56(X2)))
| ~ ssList(skaf82(skaf56(X2)))
| ~ frontsegP(cons(X0,X1),skaf56(X2)) ),
inference(superposition,[status(thm)],[c_11003,c_421]) ).
tcf(c_147350,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf56(X0),cons(skaf83(skaf56(X0)),X1))
| ( skaf56(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0)))
| ~ frontsegP(skaf82(skaf56(X0)),X1) ),
inference(superposition,[status(thm)],[c_11003,c_425]) ).
tcf(c_147351,plain,
! [X0: $i,X1: $i] :
( memberP(skaf56(X0),X1)
| ( skaf56(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf56(X0)))
| ~ ssList(skaf82(skaf56(X0)))
| ~ memberP(skaf82(skaf56(X0)),X1) ),
inference(superposition,[status(thm)],[c_11003,c_386]) ).
tcf(c_147352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf56(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf56(X3)))
| ~ ssList(skaf82(skaf56(X3)))
| ~ leq(X1,skaf83(skaf56(X3)))
| ~ leq(skaf83(skaf56(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf56(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf56(X3)),skaf82(skaf56(X3))))) ),
inference(superposition,[status(thm)],[c_11003,c_432]) ).
tcf(c_147353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf56(X3)))
| leq(skaf83(skaf56(X3)),X1)
| ( skaf56(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf56(X3)))
| ~ ssList(skaf82(skaf56(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf56(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf56(X3)),skaf82(skaf56(X3))))) ),
inference(superposition,[status(thm)],[c_11003,c_431]) ).
tcf(c_147354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf56(X3)))
| lt(skaf83(skaf56(X3)),X1)
| ( skaf56(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf56(X3)))
| ~ ssList(skaf82(skaf56(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf56(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf56(X3)),skaf82(skaf56(X3))))) ),
inference(superposition,[status(thm)],[c_11003,c_430]) ).
tcf(c_147355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf56(X3)))
| ( skaf56(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf56(X3)))
| ~ ssList(skaf82(skaf56(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf56(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf56(X3)),skaf82(skaf56(X3))))) ),
inference(superposition,[status(thm)],[c_11003,c_429]) ).
tcf(c_147356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf56(X3)))
| ( skaf56(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf56(X3)))
| ~ ssList(skaf82(skaf56(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf56(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf56(X3)),skaf82(skaf56(X3))))) ),
inference(superposition,[status(thm)],[c_11003,c_428]) ).
tcf(c_147357,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf56(X1)))
| ~ ssList(skaf82(skaf56(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf56(X1)),X2)),skaf56(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf56(X1)),X2)),cons(skaf83(skaf56(X1)),skaf82(skaf56(X1))))) ),
inference(superposition,[status(thm)],[c_11003,c_426]) ).
tcf(c_147358,plain,
! [X0: $i] :
( memberP(skaf56(X0),skaf83(skaf56(X0)))
| ( skaf56(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147321,c_259,c_260]) ).
tcf(c_147361,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( skaf82(skaf56(X0)) != skaf56(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147342,c_259,c_260]) ).
tcf(c_147364,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf56(X0)))
| ( skaf56(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf56(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147332,c_259,c_260]) ).
tcf(c_147368,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf56(X0)))
| ( skaf56(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf56(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147331,c_259,c_260]) ).
tcf(c_147372,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( skaf83(skaf56(X0)) = sk6 )
| ~ frontsegP(skaf56(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147330,c_259,c_260]) ).
tcf(c_147376,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( skaf83(skaf56(X0)) = sk5 )
| ~ frontsegP(skaf56(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147329,c_259,c_260]) ).
tcf(c_147380,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( skaf83(skaf56(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf56(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147328,c_259,c_260]) ).
tcf(c_147384,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( skaf83(skaf56(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf56(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147327,c_259,c_260]) ).
tcf(c_147388,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( skaf83(skaf56(X0)) = sk6 )
| ( skaf56(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147326,c_259,c_260]) ).
tcf(c_147392,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( skaf83(skaf56(X0)) = sk5 )
| ( skaf56(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147325,c_259,c_260]) ).
tcf(c_147396,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( skaf82(skaf56(X0)) = nil )
| ( skaf56(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147324,c_259,c_260]) ).
tcf(c_147400,plain,
! [X0: $i] :
( ( skaf56(X0) = nil )
| ( skaf82(skaf56(X0)) = nil )
| ( skaf56(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147323,c_259,c_260]) ).
tcf(c_147404,plain,
! [X0: $i,X1: $i] :
( memberP(skaf56(X0),X1)
| ( skaf56(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf56(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147351,c_259,c_260]) ).
tcf(c_147409,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf56(X0)))
| ( skaf56(X0) = nil )
| ( skaf82(skaf56(X0)) = nil )
| ~ strictorderedP(skaf56(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147341,c_259,c_260]) ).
tcf(c_147414,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf56(X0)))
| ( skaf56(X0) = nil )
| ( skaf82(skaf56(X0)) = nil )
| ~ totalorderedP(skaf56(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147340,c_259,c_260]) ).
tcf(c_147419,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf56(X0),cons(skaf83(skaf56(X0)),X1))
| ( skaf56(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf56(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147350,c_259,c_260]) ).
tcf(c_147424,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf56(X1)),X0),skaf56(X1))
| ( skaf56(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf56(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147344,c_259,c_260]) ).
tcf(c_147429,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf56(X2)))
| ( skaf56(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf56(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147349,c_259,c_260]) ).
tcf(c_147435,plain,
! [X0: $i] :
( lt(skaf83(skaf56(X0)),hd(skaf82(skaf56(X0))))
| ( skaf56(X0) = nil )
| ( skaf82(skaf56(X0)) = nil )
| ~ strictorderedP(skaf56(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147339,c_259,c_260]) ).
tcf(c_147440,plain,
! [X0: $i] :
( leq(skaf83(skaf56(X0)),hd(skaf82(skaf56(X0))))
| ( skaf56(X0) = nil )
| ( skaf82(skaf56(X0)) = nil )
| ~ totalorderedP(skaf56(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147338,c_259,c_260]) ).
tcf(c_147445,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf56(X0)),X2)
| ( skaf56(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf56(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147336,c_259,c_260]) ).
tcf(c_147451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X2) = nil )
| ( skaf83(skaf56(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf56(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147348,c_259,c_260]) ).
tcf(c_147457,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf56(X0)),X1)
| ( skaf56(X0) = nil )
| ( skaf83(skaf56(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf56(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147337,c_259,c_260]) ).
tcf(c_147463,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X0) = nil )
| ( skaf83(skaf56(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf56(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147335,c_259,c_260]) ).
tcf(c_147469,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X2) = nil )
| ( skaf83(skaf56(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf56(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147347,c_259,c_260]) ).
tcf(c_147475,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X2) = nil )
| ( skaf82(skaf56(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf56(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147346,c_259,c_260]) ).
tcf(c_147481,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf56(X1)),skaf83(skaf56(X1)))
| ( skaf56(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf56(X1)),skaf82(skaf56(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147320,c_259,c_260]) ).
tcf(c_147486,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X2) = nil )
| ( skaf83(skaf56(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf56(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf56(X2)),skaf82(skaf56(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147345,c_259,c_260]) ).
tcf(c_147493,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf56(X1)),X2)),skaf56(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf56(X1)),X2)),cons(skaf83(skaf56(X1)),skaf82(skaf56(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147357,c_259,c_260]) ).
tcf(c_147499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf56(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf56(X1)),cons(skaf83(skaf56(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf56(X1)),skaf82(skaf56(X1)))),cons(skaf83(skaf56(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147319,c_259,c_260]) ).
tcf(c_147505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf56(X3)))
| ( skaf56(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf56(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf56(X3)),skaf82(skaf56(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147356,c_259,c_260]) ).
tcf(c_147513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf56(X3)))
| ( skaf56(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf56(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf56(X3)),skaf82(skaf56(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147355,c_259,c_260]) ).
tcf(c_147521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf56(X1)),X2)
| ( skaf56(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf56(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf56(X1)),skaf82(skaf56(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147318,c_259,c_260]) ).
tcf(c_147529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf56(X1)),X2)
| ( skaf56(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf56(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf56(X1)),skaf82(skaf56(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147317,c_259,c_260]) ).
tcf(c_147537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf56(X3)))
| lt(skaf83(skaf56(X3)),X1)
| ( skaf56(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf56(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf56(X3)),skaf82(skaf56(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147354,c_259,c_260]) ).
tcf(c_147546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf56(X3)))
| leq(skaf83(skaf56(X3)),X1)
| ( skaf56(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf56(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf56(X3)),skaf82(skaf56(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147353,c_259,c_260]) ).
tcf(c_147555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf56(X1)))
| lt(skaf83(skaf56(X1)),X2)
| ( skaf56(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf56(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf56(X1)),skaf82(skaf56(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147316,c_259,c_260]) ).
tcf(c_147564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf56(X1)))
| leq(skaf83(skaf56(X1)),X2)
| ( skaf56(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf56(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf56(X1)),skaf82(skaf56(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147315,c_259,c_260]) ).
tcf(c_147573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf56(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf56(X3)))
| ~ leq(skaf83(skaf56(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf56(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf56(X3)),skaf82(skaf56(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147352,c_259,c_260]) ).
tcf(c_147582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf56(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf56(X1)))
| ~ leq(skaf83(skaf56(X1)),X2)
| ~ ssList(app(app(X0,skaf56(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf56(X1)),skaf82(skaf56(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147314,c_259,c_260]) ).
tcf(c_147731,plain,
( rearsegP(iPr_def_15,skaf45(iPr_def_14,iPr_def_14))
| ~ ssList(skaf45(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_47399,c_13336]) ).
tcf(c_147732,plain,
rearsegP(iPr_def_15,skaf45(iPr_def_14,iPr_def_14)),
inference(forward_subsumption_resolution,[status(thm)],[c_147731,c_298]) ).
tcf(c_147733,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_14,iPr_def_14))
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_15)
| ~ ssList(skaf45(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_147732,c_400]) ).
tcf(c_147734,plain,
( ( app(skaf46(iPr_def_15,skaf45(iPr_def_14,iPr_def_14)),skaf45(iPr_def_14,iPr_def_14)) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(skaf45(iPr_def_14,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_147732,c_378]) ).
tcf(c_147735,plain,
( ( skaf45(iPr_def_14,iPr_def_14) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(skaf45(iPr_def_14,iPr_def_14))
| ~ rearsegP(skaf45(iPr_def_14,iPr_def_14),iPr_def_15) ),
inference(superposition,[status(thm)],[c_147732,c_375]) ).
tcf(c_147736,plain,
( ( skaf45(iPr_def_14,iPr_def_14) = iPr_def_15 )
| ~ rearsegP(skaf45(iPr_def_14,iPr_def_14),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147735,c_24748,c_298]) ).
tcf(c_147739,plain,
app(skaf46(iPr_def_15,skaf45(iPr_def_14,iPr_def_14)),skaf45(iPr_def_14,iPr_def_14)) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_147734,c_24748,c_298]) ).
tcf(c_147740,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(iPr_def_14,iPr_def_14))
| ~ ssList(X0)
| ~ rearsegP(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147733,c_24748,c_298]) ).
tcf(c_147748,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_12,app(sk8,sk4))))
| ( app(iPr_def_12,app(sk8,sk4)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(app(iPr_def_12,app(sk8,sk4)))
| ~ ssList(app(iPr_def_12,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_124198,c_407]) ).
tcf(c_147749,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_12,app(sk8,sk4))))
| ( app(iPr_def_12,app(sk8,sk4)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(app(iPr_def_12,app(sk8,sk4)))
| ~ ssList(app(iPr_def_12,app(sk8,sk4))) ),
inference(superposition,[status(thm)],[c_124198,c_406]) ).
tcf(c_147777,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk7,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk7)),sk7))
| ~ ssList(app(app(skaf46(cons(sk6,app(sk7,sk7)),sk7),sk7),X0)) ),
inference(superposition,[status(thm)],[c_134647,c_420]) ).
tcf(c_147778,plain,
! [X0: $i] :
( ( skaf46(cons(sk6,app(sk7,sk7)),sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk7)),sk7))
| ( cons(sk6,app(sk7,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_134647,c_398]) ).
tcf(c_147780,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(cons(sk6,app(sk7,sk7)),sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk7,sk7)),X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_134647,c_405]) ).
tcf(c_147783,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),skaf46(cons(sk6,app(sk7,sk7)),sk7))
| ~ ssList(sk7)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_134647,c_808]) ).
tcf(c_147785,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_134647,c_388]) ).
tcf(c_147786,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_134647,c_383]) ).
tcf(c_147787,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk7)),sk7))
| ( app(skaf46(cons(sk6,app(sk7,sk7)),sk7),X0) != cons(sk6,app(sk7,sk7)) ) ),
inference(superposition,[status(thm)],[c_134647,c_397]) ).
tcf(c_147788,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk7)),sk7))
| ~ memberP(skaf46(cons(sk6,app(sk7,sk7)),sk7),X0) ),
inference(superposition,[status(thm)],[c_134647,c_387]) ).
tcf(c_147789,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk7,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk7)),sk7))
| ~ frontsegP(skaf46(cons(sk6,app(sk7,sk7)),sk7),X0) ),
inference(superposition,[status(thm)],[c_134647,c_384]) ).
tcf(c_147790,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk7,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_134647,c_419]) ).
tcf(c_147791,plain,
( ( skaf46(cons(sk6,app(sk7,sk7)),sk7) = iPr_def_12 )
| ~ ssList(skaf46(cons(sk6,app(sk7,sk7)),sk7))
| ( cons(sk6,app(sk7,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_134647,c_127350]) ).
tcf(c_147792,plain,
( ( skaf46(cons(sk6,app(sk7,sk7)),sk7) = iPr_def_14 )
| ~ ssList(skaf46(cons(sk6,app(sk7,sk7)),sk7))
| ( cons(sk6,app(sk7,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_134647,c_51335]) ).
tcf(c_147794,plain,
frontsegP(cons(sk6,app(sk7,sk7)),skaf46(cons(sk6,app(sk7,sk7)),sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_147783,c_6483,c_297]) ).
tcf(c_147797,plain,
( ( skaf46(cons(sk6,app(sk7,sk7)),sk7) = iPr_def_14 )
| ( cons(sk6,app(sk7,sk7)) != cons(sk6,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147792,c_297]) ).
tcf(c_147800,plain,
( ( skaf46(cons(sk6,app(sk7,sk7)),sk7) = iPr_def_12 )
| ( cons(sk6,app(sk7,sk7)) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147791,c_297]) ).
tcf(c_147804,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk7,sk7)),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(cons(sk6,app(sk7,sk7)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147789,c_6483,c_297]) ).
tcf(c_147808,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk7,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(cons(sk6,app(sk7,sk7)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147788,c_6483,c_297]) ).
tcf(c_147812,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(cons(sk6,app(sk7,sk7)),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk7,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147780,c_6483,c_297]) ).
tcf(c_147817,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(skaf46(cons(sk6,app(sk7,sk7)),sk7),X0) != cons(sk6,app(sk7,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147787,c_6483,c_297]) ).
tcf(c_147821,plain,
! [X0: $i] :
( ( skaf46(cons(sk6,app(sk7,sk7)),sk7) = X0 )
| ~ ssList(X0)
| ( cons(sk6,app(sk7,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147778,c_6483,c_297]) ).
tcf(c_147825,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk7,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk7,sk7)),sk7))
| ~ ssList(app(cons(sk6,app(sk7,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_147777,c_134647]) ).
tcf(c_147893,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,app(sk7,sk7)),sk7))
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(X0,cons(sk6,app(sk7,sk7)))
| ~ ssList(skaf46(cons(sk6,app(sk7,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_147794,c_401]) ).
tcf(c_147894,plain,
( ( app(skaf46(cons(sk6,app(sk7,sk7)),sk7),skaf45(cons(sk6,app(sk7,sk7)),skaf46(cons(sk6,app(sk7,sk7)),sk7))) = cons(sk6,app(sk7,sk7)) )
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(skaf46(cons(sk6,app(sk7,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_147794,c_379]) ).
tcf(c_147895,plain,
( ( skaf46(cons(sk6,app(sk7,sk7)),sk7) = cons(sk6,app(sk7,sk7)) )
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ ssList(skaf46(cons(sk6,app(sk7,sk7)),sk7))
| ~ frontsegP(skaf46(cons(sk6,app(sk7,sk7)),sk7),cons(sk6,app(sk7,sk7))) ),
inference(superposition,[status(thm)],[c_147794,c_376]) ).
tcf(c_147896,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,app(sk7,sk7)),sk7))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147893,c_134161,c_297]) ).
tcf(c_147900,plain,
( ( skaf46(cons(sk6,app(sk7,sk7)),sk7) = cons(sk6,app(sk7,sk7)) )
| ~ frontsegP(skaf46(cons(sk6,app(sk7,sk7)),sk7),cons(sk6,app(sk7,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147895,c_134161,c_297]) ).
tcf(c_147903,plain,
app(skaf46(cons(sk6,app(sk7,sk7)),sk7),skaf45(cons(sk6,app(sk7,sk7)),skaf46(cons(sk6,app(sk7,sk7)),sk7))) = cons(sk6,app(sk7,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_147894,c_134161,c_297]) ).
tcf(c_147911,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk8),X1)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(X0,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134723,c_401]) ).
tcf(c_147912,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,app(sk8,sk7)),X0)) = cons(sk6,app(sk8,sk7)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk8),X0)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134723,c_379]) ).
tcf(c_147913,plain,
! [X0: $i] :
( ( cons(sk6,app(sk8,sk7)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk8),X0)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(X0,cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134723,c_376]) ).
tcf(c_147914,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk8,sk7))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk8),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_134723,c_423]) ).
tcf(c_147915,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sk8,sk7),X1)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk8,sk7))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk8),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_134723,c_421]) ).
tcf(c_147916,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(cons(sk6,sk8),iPr_def_13)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134723,c_15594]) ).
tcf(c_147917,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(cons(sk6,sk8),iPr_def_15)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134723,c_28779]) ).
tcf(c_147918,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(cons(sk6,sk8),iPr_def_16)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134723,c_26336]) ).
tcf(c_147930,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134723,c_92800]) ).
tcf(c_147931,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_134723,c_134056]) ).
tcf(c_147932,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_134723,c_134030]) ).
tcf(c_147933,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_134723,c_89322]) ).
tcf(c_147934,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_134723,c_91606]) ).
tcf(c_147935,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ ssList(app(sk4,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_134723,c_91570]) ).
tcf(c_147936,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134723,c_115687]) ).
tcf(c_147937,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_134723,c_112396]) ).
tcf(c_147938,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_134723,c_115675]) ).
tcf(c_147939,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_134723,c_114631]) ).
tcf(c_147940,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_134723,c_124725]) ).
tcf(c_147941,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_134723,c_122728]) ).
tcf(c_147942,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_134723,c_124713]) ).
tcf(c_147943,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_134723,c_124701]) ).
tcf(c_147944,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_134723,c_108921]) ).
tcf(c_147945,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_134723,c_107545]) ).
tcf(c_147946,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_134723,c_107525]) ).
tcf(c_147947,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk8),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147918,c_9020,c_134696]) ).
tcf(c_147950,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk8),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147917,c_24748,c_134696]) ).
tcf(c_147953,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk8),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147916,c_9527,c_134696]) ).
tcf(c_147956,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ frontsegP(cons(sk6,sk8),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147941,c_112727,c_134696]) ).
tcf(c_147959,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk8),app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147937,c_89458,c_134696]) ).
tcf(c_147962,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ frontsegP(cons(sk6,sk8),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147933,c_79152,c_134696]) ).
tcf(c_147965,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk8),X1)
| ~ frontsegP(X0,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147911,c_134696]) ).
tcf(c_147971,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(cons(sk6,sk8),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147946,c_66402,c_134696]) ).
tcf(c_147975,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(cons(sk6,sk8),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147945,c_66402,c_134696]) ).
tcf(c_147979,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(cons(sk6,sk8),cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147944,c_66402,c_134696]) ).
tcf(c_147983,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ frontsegP(cons(sk6,sk8),app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147943,c_112795,c_134696]) ).
tcf(c_147986,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ frontsegP(cons(sk6,sk8),app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147942,c_112798,c_134696]) ).
tcf(c_147989,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk8)
| ~ frontsegP(cons(sk6,sk8),app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147940,c_112801,c_134696]) ).
tcf(c_147992,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk8),app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147939,c_89535,c_134696]) ).
tcf(c_147995,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk8),app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147938,c_89538,c_134696]) ).
tcf(c_147998,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(cons(sk6,sk8),app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147936,c_89541,c_134696]) ).
tcf(c_148001,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ frontsegP(cons(sk6,sk8),app(sk4,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147935,c_79220,c_134696]) ).
tcf(c_148004,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ frontsegP(cons(sk6,sk8),app(sk4,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147934,c_79223,c_134696]) ).
tcf(c_148007,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_16)
| ~ frontsegP(cons(sk6,sk8),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147932,c_79152,c_134696]) ).
tcf(c_148011,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_15)
| ~ frontsegP(cons(sk6,sk8),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147931,c_79152,c_134696]) ).
tcf(c_148015,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk4)
| ~ frontsegP(cons(sk6,sk8),app(sk4,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147930,c_79226,c_134696]) ).
tcf(c_148018,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk8,sk7))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk8),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147914,c_6484]) ).
tcf(c_148025,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sk8,sk7),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(app(sk8,sk7))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sk6,sk8),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147915,c_6484]) ).
tcf(c_148032,plain,
! [X0: $i] :
( ( cons(sk6,app(sk8,sk7)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk8),X0)
| ~ frontsegP(X0,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147913,c_134696]) ).
tcf(c_148037,plain,
! [X0: $i] :
( ( app(X0,skaf45(cons(sk6,app(sk8,sk7)),X0)) = cons(sk6,app(sk8,sk7)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sk6,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147912,c_134696]) ).
tcf(c_148154,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk8,sk7)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk8,sk7))))) = cons(sk6,app(sk8,sk7)) )
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk8),X0)
| ~ ssList(cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_134727,c_416]) ).
tcf(c_148155,plain,
! [X0: $i] :
( memberP(app(sk8,sk7),X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk7))
| ~ memberP(cons(sk6,sk8),X0) ),
inference(superposition,[status(thm)],[c_134727,c_408]) ).
tcf(c_148156,plain,
! [X0: $i] :
( memberP(app(sk8,sk7),X0)
| ( X0 = sk6 )
| ~ ssItem(X0)
| ~ ssList(app(sk8,sk7))
| ~ memberP(cons(sk6,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148155,c_6484]) ).
tcf(c_148162,plain,
! [X0: $i] :
( ( app(skaf42(cons(sk6,app(sk8,sk7)),X0),cons(X0,skaf43(X0,cons(sk6,app(sk8,sk7))))) = cons(sk6,app(sk8,sk7)) )
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk8),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148154,c_134696]) ).
tcf(c_148168,plain,
~ rearsegP(sk7,cons(sk6,app(sk8,sk7))),
inference(global_subsumption_just,[status(thm)],[c_135439,c_134707,c_135439]) ).
tcf(c_148172,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk8,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk7)),sk7))
| ~ ssList(app(app(skaf46(cons(sk6,app(sk8,sk7)),sk7),sk7),X0)) ),
inference(superposition,[status(thm)],[c_135442,c_420]) ).
tcf(c_148173,plain,
! [X0: $i] :
( ( skaf46(cons(sk6,app(sk8,sk7)),sk7) = X0 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk7)),sk7))
| ( cons(sk6,app(sk8,sk7)) != app(X0,sk7) ) ),
inference(superposition,[status(thm)],[c_135442,c_398]) ).
tcf(c_148175,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(cons(sk6,app(sk8,sk7)),sk7),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk8,sk7)),X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_135442,c_405]) ).
tcf(c_148178,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),skaf46(cons(sk6,app(sk8,sk7)),sk7))
| ~ ssList(sk7)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_135442,c_808]) ).
tcf(c_148180,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_135442,c_388]) ).
tcf(c_148181,plain,
! [X0: $i] :
( rearsegP(cons(sk6,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ rearsegP(sk7,X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_135442,c_383]) ).
tcf(c_148182,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk7)),sk7))
| ( app(skaf46(cons(sk6,app(sk8,sk7)),sk7),X0) != cons(sk6,app(sk8,sk7)) ) ),
inference(superposition,[status(thm)],[c_135442,c_397]) ).
tcf(c_148183,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk7)),sk7))
| ~ memberP(skaf46(cons(sk6,app(sk8,sk7)),sk7),X0) ),
inference(superposition,[status(thm)],[c_135442,c_387]) ).
tcf(c_148184,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk8,sk7)),X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk7)),sk7))
| ~ frontsegP(skaf46(cons(sk6,app(sk8,sk7)),sk7),X0) ),
inference(superposition,[status(thm)],[c_135442,c_384]) ).
tcf(c_148185,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sk6,app(sk8,sk7)),X1),X0)
| ~ ssList(sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk7,X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_135442,c_419]) ).
tcf(c_148186,plain,
( ( skaf46(cons(sk6,app(sk8,sk7)),sk7) = iPr_def_12 )
| ~ ssList(skaf46(cons(sk6,app(sk8,sk7)),sk7))
| ( cons(sk6,app(sk8,sk7)) != cons(sk5,sk7) ) ),
inference(superposition,[status(thm)],[c_135442,c_127350]) ).
tcf(c_148187,plain,
( ( skaf46(cons(sk6,app(sk8,sk7)),sk7) = iPr_def_14 )
| ~ ssList(skaf46(cons(sk6,app(sk8,sk7)),sk7))
| ( cons(sk6,app(sk8,sk7)) != cons(sk6,sk7) ) ),
inference(superposition,[status(thm)],[c_135442,c_51335]) ).
tcf(c_148189,plain,
frontsegP(cons(sk6,app(sk8,sk7)),skaf46(cons(sk6,app(sk8,sk7)),sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_148178,c_6483,c_297]) ).
tcf(c_148192,plain,
( ( skaf46(cons(sk6,app(sk8,sk7)),sk7) = iPr_def_14 )
| ( cons(sk6,app(sk8,sk7)) != cons(sk6,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148187,c_297]) ).
tcf(c_148195,plain,
( ( skaf46(cons(sk6,app(sk8,sk7)),sk7) = iPr_def_12 )
| ( cons(sk6,app(sk8,sk7)) != cons(sk5,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148186,c_297]) ).
tcf(c_148199,plain,
! [X0: $i] :
( frontsegP(cons(sk6,app(sk8,sk7)),X0)
| ~ ssList(X0)
| ~ frontsegP(skaf46(cons(sk6,app(sk8,sk7)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148184,c_6483,c_297]) ).
tcf(c_148203,plain,
! [X0: $i] :
( memberP(cons(sk6,app(sk8,sk7)),X0)
| ~ ssItem(X0)
| ~ memberP(skaf46(cons(sk6,app(sk8,sk7)),sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148183,c_6483,c_297]) ).
tcf(c_148207,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(skaf46(cons(sk6,app(sk8,sk7)),sk7),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,app(sk8,sk7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148175,c_6483,c_297]) ).
tcf(c_148212,plain,
! [X0: $i] :
( ( X0 = sk7 )
| ~ ssList(X0)
| ( app(skaf46(cons(sk6,app(sk8,sk7)),sk7),X0) != cons(sk6,app(sk8,sk7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148182,c_6483,c_297]) ).
tcf(c_148216,plain,
! [X0: $i] :
( ( skaf46(cons(sk6,app(sk8,sk7)),sk7) = X0 )
| ~ ssList(X0)
| ( cons(sk6,app(sk8,sk7)) != app(X0,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148173,c_6483,c_297]) ).
tcf(c_148220,plain,
! [X0: $i] :
( segmentP(app(cons(sk6,app(sk8,sk7)),X0),sk7)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(skaf46(cons(sk6,app(sk8,sk7)),sk7))
| ~ ssList(app(cons(sk6,app(sk8,sk7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_148172,c_135442]) ).
tcf(c_148513,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,app(sk8,sk7)),sk7))
| ~ ssList(X0)
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(X0,cons(sk6,app(sk8,sk7)))
| ~ ssList(skaf46(cons(sk6,app(sk8,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_148189,c_401]) ).
tcf(c_148514,plain,
( ( app(skaf46(cons(sk6,app(sk8,sk7)),sk7),skaf45(cons(sk6,app(sk8,sk7)),skaf46(cons(sk6,app(sk8,sk7)),sk7))) = cons(sk6,app(sk8,sk7)) )
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(skaf46(cons(sk6,app(sk8,sk7)),sk7)) ),
inference(superposition,[status(thm)],[c_148189,c_379]) ).
tcf(c_148515,plain,
( ( skaf46(cons(sk6,app(sk8,sk7)),sk7) = cons(sk6,app(sk8,sk7)) )
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ ssList(skaf46(cons(sk6,app(sk8,sk7)),sk7))
| ~ frontsegP(skaf46(cons(sk6,app(sk8,sk7)),sk7),cons(sk6,app(sk8,sk7))) ),
inference(superposition,[status(thm)],[c_148189,c_376]) ).
tcf(c_148516,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(cons(sk6,app(sk8,sk7)),sk7))
| ~ ssList(X0)
| ~ frontsegP(X0,cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148513,c_134696,c_297]) ).
tcf(c_148520,plain,
( ( skaf46(cons(sk6,app(sk8,sk7)),sk7) = cons(sk6,app(sk8,sk7)) )
| ~ frontsegP(skaf46(cons(sk6,app(sk8,sk7)),sk7),cons(sk6,app(sk8,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148515,c_134696,c_297]) ).
tcf(c_148523,plain,
app(skaf46(cons(sk6,app(sk8,sk7)),sk7),skaf45(cons(sk6,app(sk8,sk7)),skaf46(cons(sk6,app(sk8,sk7)),sk7))) = cons(sk6,app(sk8,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_148514,c_134696,c_297]) ).
tcf(c_148535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf53(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf53(X1)))
| ~ ssList(skaf82(skaf53(X1)))
| ~ leq(X2,skaf83(skaf53(X1)))
| ~ leq(skaf83(skaf53(X1)),X2)
| ~ ssList(app(app(X0,skaf53(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf53(X1)),skaf82(skaf53(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11004,c_432]) ).
tcf(c_148536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf53(X1)))
| leq(skaf83(skaf53(X1)),X2)
| ( skaf53(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf53(X1)))
| ~ ssList(skaf82(skaf53(X1)))
| ~ ssList(app(app(X0,skaf53(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf53(X1)),skaf82(skaf53(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11004,c_431]) ).
tcf(c_148537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf53(X1)))
| lt(skaf83(skaf53(X1)),X2)
| ( skaf53(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf53(X1)))
| ~ ssList(skaf82(skaf53(X1)))
| ~ ssList(app(app(X0,skaf53(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf53(X1)),skaf82(skaf53(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11004,c_430]) ).
tcf(c_148538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf53(X1)),X2)
| ( skaf53(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf53(X1)))
| ~ ssList(skaf82(skaf53(X1)))
| ~ ssList(app(app(X0,skaf53(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf53(X1)),skaf82(skaf53(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11004,c_429]) ).
tcf(c_148539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf53(X1)),X2)
| ( skaf53(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf53(X1)))
| ~ ssList(skaf82(skaf53(X1)))
| ~ ssList(app(app(X0,skaf53(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf53(X1)),skaf82(skaf53(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11004,c_428]) ).
tcf(c_148540,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf53(X1)))
| ~ ssList(skaf82(skaf53(X1)))
| ~ ssList(app(app(X0,skaf53(X1)),cons(skaf83(skaf53(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf53(X1)),skaf82(skaf53(X1)))),cons(skaf83(skaf53(X1)),X2))) ),
inference(superposition,[status(thm)],[c_11004,c_426]) ).
tcf(c_148541,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf53(X1)),skaf83(skaf53(X1)))
| ( skaf53(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf53(X1)))
| ~ ssList(skaf82(skaf53(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf53(X1)),skaf82(skaf53(X1))))) ),
inference(superposition,[status(thm)],[c_11004,c_422]) ).
tcf(c_148542,plain,
! [X0: $i] :
( memberP(skaf53(X0),skaf83(skaf53(X0)))
| ( skaf53(X0) = nil )
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_11004,c_385]) ).
tcf(c_148544,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( skaf82(skaf53(X0)) = nil )
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0)))
| ( skaf53(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11004,c_21847]) ).
tcf(c_148545,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( skaf82(skaf53(X0)) = nil )
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0)))
| ( skaf53(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11004,c_21842]) ).
tcf(c_148546,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( skaf83(skaf53(X0)) = sk5 )
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0)))
| ( skaf53(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11004,c_21750]) ).
tcf(c_148547,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( skaf83(skaf53(X0)) = sk6 )
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0)))
| ( skaf53(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11004,c_21745]) ).
tcf(c_148548,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( skaf83(skaf53(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf53(X0))
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_11004,c_21595]) ).
tcf(c_148549,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( skaf83(skaf53(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf53(X0))
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_11004,c_21590]) ).
tcf(c_148550,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( skaf83(skaf53(X0)) = sk5 )
| ~ frontsegP(skaf53(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_11004,c_21585]) ).
tcf(c_148551,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( skaf83(skaf53(X0)) = sk6 )
| ~ frontsegP(skaf53(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_11004,c_21580]) ).
tcf(c_148552,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf53(X0)))
| ( skaf53(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf53(X0))
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_11004,c_21202]) ).
tcf(c_148553,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf53(X0)))
| ( skaf53(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf53(X0))
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_11004,c_21197]) ).
tcf(c_148556,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X0) = nil )
| ( skaf83(skaf53(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0)))
| ~ frontsegP(skaf53(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_11004,c_423]) ).
tcf(c_148557,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf53(X0)),X2)
| ( skaf53(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0)))
| ~ frontsegP(skaf53(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_11004,c_421]) ).
tcf(c_148558,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf53(X0)),X1)
| ( skaf53(X0) = nil )
| ( skaf83(skaf53(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0)))
| ~ memberP(skaf53(X0),X1) ),
inference(superposition,[status(thm)],[c_11004,c_408]) ).
tcf(c_148559,plain,
! [X0: $i] :
( leq(skaf83(skaf53(X0)),hd(skaf82(skaf53(X0))))
| ( skaf53(X0) = nil )
| ( skaf82(skaf53(X0)) = nil )
| ~ totalorderedP(skaf53(X0))
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_11004,c_382]) ).
tcf(c_148560,plain,
! [X0: $i] :
( lt(skaf83(skaf53(X0)),hd(skaf82(skaf53(X0))))
| ( skaf53(X0) = nil )
| ( skaf82(skaf53(X0)) = nil )
| ~ strictorderedP(skaf53(X0))
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_11004,c_381]) ).
tcf(c_148561,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf53(X0)))
| ( skaf53(X0) = nil )
| ( skaf82(skaf53(X0)) = nil )
| ~ totalorderedP(skaf53(X0))
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_11004,c_372]) ).
tcf(c_148562,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf53(X0)))
| ( skaf53(X0) = nil )
| ( skaf82(skaf53(X0)) = nil )
| ~ strictorderedP(skaf53(X0))
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0))) ),
inference(superposition,[status(thm)],[c_11004,c_371]) ).
tcf(c_148563,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0)))
| ( skaf82(skaf53(X0)) != skaf53(X0) ) ),
inference(superposition,[status(thm)],[c_11004,c_346]) ).
tcf(c_148565,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf53(X1)),X0),skaf53(X1))
| ( skaf53(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf53(X1)))
| ~ ssList(skaf82(skaf53(X1)))
| ~ frontsegP(X0,skaf82(skaf53(X1))) ),
inference(superposition,[status(thm)],[c_11004,c_425]) ).
tcf(c_148566,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X2) = nil )
| ( skaf83(skaf53(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf53(X2)))
| ~ ssList(skaf82(skaf53(X2)))
| ~ ssList(app(X0,cons(X1,skaf53(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf53(X2)),skaf82(skaf53(X2)))))) ),
inference(superposition,[status(thm)],[c_11004,c_427]) ).
tcf(c_148567,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X2) = nil )
| ( skaf82(skaf53(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf53(X2)))
| ~ ssList(skaf82(skaf53(X2)))
| ( cons(X0,X1) != skaf53(X2) ) ),
inference(superposition,[status(thm)],[c_11004,c_418]) ).
tcf(c_148568,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X2) = nil )
| ( skaf83(skaf53(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf53(X2)))
| ~ ssList(skaf82(skaf53(X2)))
| ( cons(X0,X1) != skaf53(X2) ) ),
inference(superposition,[status(thm)],[c_11004,c_417]) ).
tcf(c_148569,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X2) = nil )
| ( skaf83(skaf53(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf53(X2)))
| ~ ssList(skaf82(skaf53(X2)))
| ~ frontsegP(cons(X0,X1),skaf53(X2)) ),
inference(superposition,[status(thm)],[c_11004,c_423]) ).
tcf(c_148570,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf53(X2)))
| ( skaf53(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf53(X2)))
| ~ ssList(skaf82(skaf53(X2)))
| ~ frontsegP(cons(X0,X1),skaf53(X2)) ),
inference(superposition,[status(thm)],[c_11004,c_421]) ).
tcf(c_148571,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf53(X0),cons(skaf83(skaf53(X0)),X1))
| ( skaf53(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0)))
| ~ frontsegP(skaf82(skaf53(X0)),X1) ),
inference(superposition,[status(thm)],[c_11004,c_425]) ).
tcf(c_148572,plain,
! [X0: $i,X1: $i] :
( memberP(skaf53(X0),X1)
| ( skaf53(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf53(X0)))
| ~ ssList(skaf82(skaf53(X0)))
| ~ memberP(skaf82(skaf53(X0)),X1) ),
inference(superposition,[status(thm)],[c_11004,c_386]) ).
tcf(c_148573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf53(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf53(X3)))
| ~ ssList(skaf82(skaf53(X3)))
| ~ leq(X1,skaf83(skaf53(X3)))
| ~ leq(skaf83(skaf53(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf53(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf53(X3)),skaf82(skaf53(X3))))) ),
inference(superposition,[status(thm)],[c_11004,c_432]) ).
tcf(c_148574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf53(X3)))
| leq(skaf83(skaf53(X3)),X1)
| ( skaf53(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf53(X3)))
| ~ ssList(skaf82(skaf53(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf53(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf53(X3)),skaf82(skaf53(X3))))) ),
inference(superposition,[status(thm)],[c_11004,c_431]) ).
tcf(c_148575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf53(X3)))
| lt(skaf83(skaf53(X3)),X1)
| ( skaf53(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf53(X3)))
| ~ ssList(skaf82(skaf53(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf53(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf53(X3)),skaf82(skaf53(X3))))) ),
inference(superposition,[status(thm)],[c_11004,c_430]) ).
tcf(c_148576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf53(X3)))
| ( skaf53(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf53(X3)))
| ~ ssList(skaf82(skaf53(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf53(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf53(X3)),skaf82(skaf53(X3))))) ),
inference(superposition,[status(thm)],[c_11004,c_429]) ).
tcf(c_148577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf53(X3)))
| ( skaf53(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf53(X3)))
| ~ ssList(skaf82(skaf53(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf53(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf53(X3)),skaf82(skaf53(X3))))) ),
inference(superposition,[status(thm)],[c_11004,c_428]) ).
tcf(c_148578,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf53(X1)))
| ~ ssList(skaf82(skaf53(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf53(X1)),X2)),skaf53(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf53(X1)),X2)),cons(skaf83(skaf53(X1)),skaf82(skaf53(X1))))) ),
inference(superposition,[status(thm)],[c_11004,c_426]) ).
tcf(c_148579,plain,
! [X0: $i] :
( memberP(skaf53(X0),skaf83(skaf53(X0)))
| ( skaf53(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148542,c_259,c_260]) ).
tcf(c_148582,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( skaf82(skaf53(X0)) != skaf53(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148563,c_259,c_260]) ).
tcf(c_148585,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf53(X0)))
| ( skaf53(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf53(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148553,c_259,c_260]) ).
tcf(c_148589,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf53(X0)))
| ( skaf53(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf53(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148552,c_259,c_260]) ).
tcf(c_148593,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( skaf83(skaf53(X0)) = sk6 )
| ~ frontsegP(skaf53(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148551,c_259,c_260]) ).
tcf(c_148597,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( skaf83(skaf53(X0)) = sk5 )
| ~ frontsegP(skaf53(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148550,c_259,c_260]) ).
tcf(c_148601,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( skaf83(skaf53(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf53(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148549,c_259,c_260]) ).
tcf(c_148605,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( skaf83(skaf53(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf53(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148548,c_259,c_260]) ).
tcf(c_148609,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( skaf83(skaf53(X0)) = sk6 )
| ( skaf53(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148547,c_259,c_260]) ).
tcf(c_148613,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( skaf83(skaf53(X0)) = sk5 )
| ( skaf53(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148546,c_259,c_260]) ).
tcf(c_148617,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( skaf82(skaf53(X0)) = nil )
| ( skaf53(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148545,c_259,c_260]) ).
tcf(c_148621,plain,
! [X0: $i] :
( ( skaf53(X0) = nil )
| ( skaf82(skaf53(X0)) = nil )
| ( skaf53(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148544,c_259,c_260]) ).
tcf(c_148625,plain,
! [X0: $i,X1: $i] :
( memberP(skaf53(X0),X1)
| ( skaf53(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf53(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148572,c_259,c_260]) ).
tcf(c_148630,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf53(X0)))
| ( skaf53(X0) = nil )
| ( skaf82(skaf53(X0)) = nil )
| ~ strictorderedP(skaf53(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148562,c_259,c_260]) ).
tcf(c_148635,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf53(X0)))
| ( skaf53(X0) = nil )
| ( skaf82(skaf53(X0)) = nil )
| ~ totalorderedP(skaf53(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148561,c_259,c_260]) ).
tcf(c_148640,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf53(X0),cons(skaf83(skaf53(X0)),X1))
| ( skaf53(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf53(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148571,c_259,c_260]) ).
tcf(c_148645,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf53(X1)),X0),skaf53(X1))
| ( skaf53(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf53(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148565,c_259,c_260]) ).
tcf(c_148650,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf53(X2)))
| ( skaf53(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf53(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148570,c_259,c_260]) ).
tcf(c_148656,plain,
! [X0: $i] :
( lt(skaf83(skaf53(X0)),hd(skaf82(skaf53(X0))))
| ( skaf53(X0) = nil )
| ( skaf82(skaf53(X0)) = nil )
| ~ strictorderedP(skaf53(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148560,c_259,c_260]) ).
tcf(c_148661,plain,
! [X0: $i] :
( leq(skaf83(skaf53(X0)),hd(skaf82(skaf53(X0))))
| ( skaf53(X0) = nil )
| ( skaf82(skaf53(X0)) = nil )
| ~ totalorderedP(skaf53(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148559,c_259,c_260]) ).
tcf(c_148666,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf53(X0)),X2)
| ( skaf53(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf53(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148557,c_259,c_260]) ).
tcf(c_148672,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X2) = nil )
| ( skaf83(skaf53(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf53(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148569,c_259,c_260]) ).
tcf(c_148678,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf53(X0)),X1)
| ( skaf53(X0) = nil )
| ( skaf83(skaf53(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf53(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148558,c_259,c_260]) ).
tcf(c_148684,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X0) = nil )
| ( skaf83(skaf53(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf53(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148556,c_259,c_260]) ).
tcf(c_148690,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X2) = nil )
| ( skaf83(skaf53(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf53(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148568,c_259,c_260]) ).
tcf(c_148696,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X2) = nil )
| ( skaf82(skaf53(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf53(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148567,c_259,c_260]) ).
tcf(c_148702,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf53(X1)),skaf83(skaf53(X1)))
| ( skaf53(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf53(X1)),skaf82(skaf53(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148541,c_259,c_260]) ).
tcf(c_148707,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X2) = nil )
| ( skaf83(skaf53(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf53(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf53(X2)),skaf82(skaf53(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148566,c_259,c_260]) ).
tcf(c_148714,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf53(X1)),X2)),skaf53(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf53(X1)),X2)),cons(skaf83(skaf53(X1)),skaf82(skaf53(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148578,c_259,c_260]) ).
tcf(c_148720,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf53(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf53(X1)),cons(skaf83(skaf53(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf53(X1)),skaf82(skaf53(X1)))),cons(skaf83(skaf53(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148540,c_259,c_260]) ).
tcf(c_148726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf53(X3)))
| ( skaf53(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf53(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf53(X3)),skaf82(skaf53(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148577,c_259,c_260]) ).
tcf(c_148734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf53(X3)))
| ( skaf53(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf53(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf53(X3)),skaf82(skaf53(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148576,c_259,c_260]) ).
tcf(c_148742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf53(X1)),X2)
| ( skaf53(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf53(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf53(X1)),skaf82(skaf53(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148539,c_259,c_260]) ).
tcf(c_148750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf53(X1)),X2)
| ( skaf53(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf53(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf53(X1)),skaf82(skaf53(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148538,c_259,c_260]) ).
tcf(c_148758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf53(X3)))
| lt(skaf83(skaf53(X3)),X1)
| ( skaf53(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf53(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf53(X3)),skaf82(skaf53(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148575,c_259,c_260]) ).
tcf(c_148767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf53(X3)))
| leq(skaf83(skaf53(X3)),X1)
| ( skaf53(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf53(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf53(X3)),skaf82(skaf53(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148574,c_259,c_260]) ).
tcf(c_148776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf53(X1)))
| lt(skaf83(skaf53(X1)),X2)
| ( skaf53(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf53(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf53(X1)),skaf82(skaf53(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148537,c_259,c_260]) ).
tcf(c_148785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf53(X1)))
| leq(skaf83(skaf53(X1)),X2)
| ( skaf53(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf53(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf53(X1)),skaf82(skaf53(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148536,c_259,c_260]) ).
tcf(c_148794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf53(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf53(X3)))
| ~ leq(skaf83(skaf53(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf53(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf53(X3)),skaf82(skaf53(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148573,c_259,c_260]) ).
tcf(c_148803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf53(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf53(X1)))
| ~ leq(skaf83(skaf53(X1)),X2)
| ~ ssList(app(app(X0,skaf53(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf53(X1)),skaf82(skaf53(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148535,c_259,c_260]) ).
tcf(c_148941,plain,
( frontsegP(iPr_def_13,skaf82(iPr_def_15))
| ~ ssList(nil)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55990,c_13518]) ).
tcf(c_148942,plain,
( frontsegP(iPr_def_13,skaf82(iPr_def_15))
| ~ ssList(nil)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55736,c_13518]) ).
tcf(c_148954,plain,
( frontsegP(iPr_def_12,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_48324,c_13522]) ).
tcf(c_148955,plain,
( frontsegP(iPr_def_12,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_48321,c_13522]) ).
tcf(c_148956,plain,
( frontsegP(iPr_def_12,skaf82(iPr_def_15))
| ~ ssList(nil)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55990,c_13522]) ).
tcf(c_148957,plain,
( frontsegP(iPr_def_12,skaf82(iPr_def_15))
| ~ ssList(nil)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55736,c_13522]) ).
tcf(c_148958,plain,
( frontsegP(iPr_def_12,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148955,c_260]) ).
tcf(c_148961,plain,
( frontsegP(iPr_def_12,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148954,c_260]) ).
tcf(c_148975,plain,
( frontsegP(iPr_def_14,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_48324,c_13526]) ).
tcf(c_148976,plain,
( frontsegP(iPr_def_14,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_48321,c_13526]) ).
tcf(c_148977,plain,
( frontsegP(iPr_def_14,skaf82(iPr_def_15))
| ~ ssList(nil)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55990,c_13526]) ).
tcf(c_148978,plain,
( frontsegP(iPr_def_14,skaf82(iPr_def_15))
| ~ ssList(nil)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55736,c_13526]) ).
tcf(c_148979,plain,
( frontsegP(iPr_def_14,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148976,c_260]) ).
tcf(c_148982,plain,
( frontsegP(iPr_def_14,skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148975,c_260]) ).
tcf(c_149028,plain,
( frontsegP(iPr_def_16,skaf82(iPr_def_15))
| ~ ssList(nil)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55990,c_13530]) ).
tcf(c_149029,plain,
( frontsegP(iPr_def_16,skaf82(iPr_def_15))
| ~ ssList(nil)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55736,c_13530]) ).
tcf(c_149036,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_148958,c_401]) ).
tcf(c_149037,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_12,skaf82(iPr_def_15))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_148958,c_379]) ).
tcf(c_149038,plain,
( ( skaf82(iPr_def_15) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_12) ),
inference(superposition,[status(thm)],[c_148958,c_376]) ).
tcf(c_149039,plain,
( ( skaf82(iPr_def_15) = iPr_def_12 )
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149038,c_9489,c_260]) ).
tcf(c_149043,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_12,skaf82(iPr_def_15))) = iPr_def_12 )
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149037,c_9489,c_260]) ).
tcf(c_149051,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_148961,c_401]) ).
tcf(c_149052,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_12,skaf82(iPr_def_15))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_148961,c_379]) ).
tcf(c_149053,plain,
( ( skaf82(iPr_def_15) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_12) ),
inference(superposition,[status(thm)],[c_148961,c_376]) ).
tcf(c_149054,plain,
( ( skaf82(iPr_def_15) = iPr_def_12 )
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149053,c_9489,c_260]) ).
tcf(c_149058,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_12,skaf82(iPr_def_15))) = iPr_def_12 )
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149052,c_9489,c_260]) ).
tcf(c_149066,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_148979,c_401]) ).
tcf(c_149067,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_14,skaf82(iPr_def_15))) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_148979,c_379]) ).
tcf(c_149068,plain,
( ( skaf82(iPr_def_15) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_14) ),
inference(superposition,[status(thm)],[c_148979,c_376]) ).
tcf(c_149069,plain,
( ( skaf82(iPr_def_15) = iPr_def_14 )
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149068,c_9488,c_260]) ).
tcf(c_149073,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_14,skaf82(iPr_def_15))) = iPr_def_14 )
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149067,c_9488,c_260]) ).
tcf(c_149081,plain,
! [X0: $i] :
( frontsegP(X0,skaf82(iPr_def_15))
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_148982,c_401]) ).
tcf(c_149082,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_14,skaf82(iPr_def_15))) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_148982,c_379]) ).
tcf(c_149083,plain,
( ( skaf82(iPr_def_15) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_14) ),
inference(superposition,[status(thm)],[c_148982,c_376]) ).
tcf(c_149084,plain,
( ( skaf82(iPr_def_15) = iPr_def_14 )
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(skaf82(iPr_def_15),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149083,c_9488,c_260]) ).
tcf(c_149088,plain,
( ( app(skaf82(iPr_def_15),skaf45(iPr_def_14,skaf82(iPr_def_15))) = iPr_def_14 )
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149082,c_9488,c_260]) ).
tcf(c_149124,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_384,c_135529]) ).
tcf(c_149125,plain,
! [X0: $i] :
( frontsegP(app(app(sk4,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(app(app(sk4,sk4),X0)) ),
inference(superposition,[status(thm)],[c_808,c_135529]) ).
tcf(c_149126,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_135529]) ).
tcf(c_149127,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_51316,c_135529]) ).
tcf(c_149128,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_51801,c_135529]) ).
tcf(c_149140,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk8,app(sk4,sk4))
| ~ ssList(app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_142366,c_135529]) ).
tcf(c_149141,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_112748,c_135529]) ).
tcf(c_149142,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk8,app(sk4,sk4))
| ~ ssList(app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_141120,c_135529]) ).
tcf(c_149143,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk8,app(sk4,sk4))
| ~ ssList(app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_139946,c_135529]) ).
tcf(c_149144,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_135529]) ).
tcf(c_149145,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_127325,c_135529]) ).
tcf(c_149146,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_68249,c_135529]) ).
tcf(c_149147,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_68556,c_135529]) ).
tcf(c_149148,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_68986,c_135529]) ).
tcf(c_149149,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_124798,c_135529]) ).
tcf(c_149150,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_133007,c_135529]) ).
tcf(c_149151,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_134188,c_135529]) ).
tcf(c_149152,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk4))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_134723,c_135529]) ).
tcf(c_149153,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(iPr_def_12,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149145,c_79152,c_127316]) ).
tcf(c_149157,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(iPr_def_12,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149144,c_79152,c_66402]) ).
tcf(c_149161,plain,
( frontsegP(app(sk8,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149141,c_112727,c_79152]) ).
tcf(c_149165,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149128,c_79152,c_28938]) ).
tcf(c_149169,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149127,c_79152,c_28940]) ).
tcf(c_149173,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(iPr_def_14,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149126,c_79152,c_28942]) ).
tcf(c_149177,plain,
! [X0: $i] :
( frontsegP(app(app(sk4,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(app(sk4,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149125,c_79152]) ).
tcf(c_149182,plain,
( frontsegP(app(sk8,app(sk4,sk8)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149143,c_79152,c_112795]) ).
tcf(c_149186,plain,
( frontsegP(app(sk8,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149142,c_79152,c_112798]) ).
tcf(c_149190,plain,
( frontsegP(app(sk8,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(sk8,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149140,c_79152,c_112801]) ).
tcf(c_149194,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(cons(sk6,sk8),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149152,c_79152,c_134696]) ).
tcf(c_149198,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(cons(sk6,sk7),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149151,c_79152,c_134161]) ).
tcf(c_149202,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(cons(sk6,sk4),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149150,c_79152,c_132980]) ).
tcf(c_149206,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(cons(sk5,sk4),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149149,c_79152,c_124771]) ).
tcf(c_149210,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(cons(sk6,sk8),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149148,c_79152,c_68959]) ).
tcf(c_149214,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(cons(sk6,sk7),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149147,c_79152,c_68529]) ).
tcf(c_149218,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(sk4,iPr_def_13)
| ~ frontsegP(cons(sk6,sk4),app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149146,c_79152,c_68222]) ).
tcf(c_149222,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149124,c_79152]) ).
tcf(c_149694,plain,
~ segmentP(sk7,cons(sk6,app(sk7,sk7))),
inference(global_subsumption_just,[status(thm)],[c_136656,c_134172,c_136656]) ).
tcf(c_149709,plain,
( frontsegP(cons(sk6,iPr_def_16),nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_34682,c_138025]) ).
tcf(c_149710,plain,
( frontsegP(cons(sk6,iPr_def_16),skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(skaf46(cons(sk6,iPr_def_16),sk8)) ),
inference(superposition,[status(thm)],[c_55990,c_138025]) ).
tcf(c_149711,plain,
( frontsegP(cons(sk6,iPr_def_16),skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15))
| ~ ssList(skaf46(cons(sk6,iPr_def_16),sk8)) ),
inference(superposition,[status(thm)],[c_55736,c_138025]) ).
tcf(c_149712,plain,
frontsegP(cons(sk6,iPr_def_16),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_149709,c_255]) ).
tcf(c_149713,plain,
( frontsegP(cons(sk6,iPr_def_16),skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_14,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149711,c_260,c_297]) ).
tcf(c_149716,plain,
( frontsegP(cons(sk6,iPr_def_16),skaf82(iPr_def_15))
| ~ frontsegP(iPr_def_12,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149710,c_260,c_297]) ).
tcf(c_149733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf52(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf52(X1)))
| ~ ssList(skaf82(skaf52(X1)))
| ~ leq(X2,skaf83(skaf52(X1)))
| ~ leq(skaf83(skaf52(X1)),X2)
| ~ ssList(app(app(X0,skaf52(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf52(X1)),skaf82(skaf52(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11005,c_432]) ).
tcf(c_149734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf52(X1)))
| leq(skaf83(skaf52(X1)),X2)
| ( skaf52(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf52(X1)))
| ~ ssList(skaf82(skaf52(X1)))
| ~ ssList(app(app(X0,skaf52(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf52(X1)),skaf82(skaf52(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11005,c_431]) ).
tcf(c_149735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf52(X1)))
| lt(skaf83(skaf52(X1)),X2)
| ( skaf52(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf52(X1)))
| ~ ssList(skaf82(skaf52(X1)))
| ~ ssList(app(app(X0,skaf52(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf52(X1)),skaf82(skaf52(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11005,c_430]) ).
tcf(c_149736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf52(X1)),X2)
| ( skaf52(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf52(X1)))
| ~ ssList(skaf82(skaf52(X1)))
| ~ ssList(app(app(X0,skaf52(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf52(X1)),skaf82(skaf52(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11005,c_429]) ).
tcf(c_149737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf52(X1)),X2)
| ( skaf52(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf52(X1)))
| ~ ssList(skaf82(skaf52(X1)))
| ~ ssList(app(app(X0,skaf52(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf52(X1)),skaf82(skaf52(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11005,c_428]) ).
tcf(c_149738,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf52(X1)))
| ~ ssList(skaf82(skaf52(X1)))
| ~ ssList(app(app(X0,skaf52(X1)),cons(skaf83(skaf52(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf52(X1)),skaf82(skaf52(X1)))),cons(skaf83(skaf52(X1)),X2))) ),
inference(superposition,[status(thm)],[c_11005,c_426]) ).
tcf(c_149739,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf52(X1)),skaf83(skaf52(X1)))
| ( skaf52(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf52(X1)))
| ~ ssList(skaf82(skaf52(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf52(X1)),skaf82(skaf52(X1))))) ),
inference(superposition,[status(thm)],[c_11005,c_422]) ).
tcf(c_149740,plain,
! [X0: $i] :
( memberP(skaf52(X0),skaf83(skaf52(X0)))
| ( skaf52(X0) = nil )
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_11005,c_385]) ).
tcf(c_149742,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( skaf82(skaf52(X0)) = nil )
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0)))
| ( skaf52(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11005,c_21847]) ).
tcf(c_149743,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( skaf82(skaf52(X0)) = nil )
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0)))
| ( skaf52(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11005,c_21842]) ).
tcf(c_149744,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( skaf83(skaf52(X0)) = sk5 )
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0)))
| ( skaf52(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11005,c_21750]) ).
tcf(c_149745,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( skaf83(skaf52(X0)) = sk6 )
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0)))
| ( skaf52(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11005,c_21745]) ).
tcf(c_149746,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( skaf83(skaf52(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf52(X0))
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_11005,c_21595]) ).
tcf(c_149747,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( skaf83(skaf52(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf52(X0))
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_11005,c_21590]) ).
tcf(c_149748,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( skaf83(skaf52(X0)) = sk5 )
| ~ frontsegP(skaf52(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_11005,c_21585]) ).
tcf(c_149749,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( skaf83(skaf52(X0)) = sk6 )
| ~ frontsegP(skaf52(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_11005,c_21580]) ).
tcf(c_149750,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf52(X0)))
| ( skaf52(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf52(X0))
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_11005,c_21202]) ).
tcf(c_149751,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf52(X0)))
| ( skaf52(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf52(X0))
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_11005,c_21197]) ).
tcf(c_149754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X0) = nil )
| ( skaf83(skaf52(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0)))
| ~ frontsegP(skaf52(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_11005,c_423]) ).
tcf(c_149755,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf52(X0)),X2)
| ( skaf52(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0)))
| ~ frontsegP(skaf52(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_11005,c_421]) ).
tcf(c_149756,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf52(X0)),X1)
| ( skaf52(X0) = nil )
| ( skaf83(skaf52(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0)))
| ~ memberP(skaf52(X0),X1) ),
inference(superposition,[status(thm)],[c_11005,c_408]) ).
tcf(c_149757,plain,
! [X0: $i] :
( leq(skaf83(skaf52(X0)),hd(skaf82(skaf52(X0))))
| ( skaf52(X0) = nil )
| ( skaf82(skaf52(X0)) = nil )
| ~ totalorderedP(skaf52(X0))
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_11005,c_382]) ).
tcf(c_149758,plain,
! [X0: $i] :
( lt(skaf83(skaf52(X0)),hd(skaf82(skaf52(X0))))
| ( skaf52(X0) = nil )
| ( skaf82(skaf52(X0)) = nil )
| ~ strictorderedP(skaf52(X0))
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_11005,c_381]) ).
tcf(c_149759,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf52(X0)))
| ( skaf52(X0) = nil )
| ( skaf82(skaf52(X0)) = nil )
| ~ totalorderedP(skaf52(X0))
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_11005,c_372]) ).
tcf(c_149760,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf52(X0)))
| ( skaf52(X0) = nil )
| ( skaf82(skaf52(X0)) = nil )
| ~ strictorderedP(skaf52(X0))
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0))) ),
inference(superposition,[status(thm)],[c_11005,c_371]) ).
tcf(c_149761,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0)))
| ( skaf82(skaf52(X0)) != skaf52(X0) ) ),
inference(superposition,[status(thm)],[c_11005,c_346]) ).
tcf(c_149763,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf52(X1)),X0),skaf52(X1))
| ( skaf52(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf52(X1)))
| ~ ssList(skaf82(skaf52(X1)))
| ~ frontsegP(X0,skaf82(skaf52(X1))) ),
inference(superposition,[status(thm)],[c_11005,c_425]) ).
tcf(c_149764,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X2) = nil )
| ( skaf83(skaf52(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf52(X2)))
| ~ ssList(skaf82(skaf52(X2)))
| ~ ssList(app(X0,cons(X1,skaf52(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf52(X2)),skaf82(skaf52(X2)))))) ),
inference(superposition,[status(thm)],[c_11005,c_427]) ).
tcf(c_149765,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X2) = nil )
| ( skaf82(skaf52(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf52(X2)))
| ~ ssList(skaf82(skaf52(X2)))
| ( cons(X0,X1) != skaf52(X2) ) ),
inference(superposition,[status(thm)],[c_11005,c_418]) ).
tcf(c_149766,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X2) = nil )
| ( skaf83(skaf52(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf52(X2)))
| ~ ssList(skaf82(skaf52(X2)))
| ( cons(X0,X1) != skaf52(X2) ) ),
inference(superposition,[status(thm)],[c_11005,c_417]) ).
tcf(c_149767,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X2) = nil )
| ( skaf83(skaf52(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf52(X2)))
| ~ ssList(skaf82(skaf52(X2)))
| ~ frontsegP(cons(X0,X1),skaf52(X2)) ),
inference(superposition,[status(thm)],[c_11005,c_423]) ).
tcf(c_149768,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf52(X2)))
| ( skaf52(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf52(X2)))
| ~ ssList(skaf82(skaf52(X2)))
| ~ frontsegP(cons(X0,X1),skaf52(X2)) ),
inference(superposition,[status(thm)],[c_11005,c_421]) ).
tcf(c_149769,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf52(X0),cons(skaf83(skaf52(X0)),X1))
| ( skaf52(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0)))
| ~ frontsegP(skaf82(skaf52(X0)),X1) ),
inference(superposition,[status(thm)],[c_11005,c_425]) ).
tcf(c_149770,plain,
! [X0: $i,X1: $i] :
( memberP(skaf52(X0),X1)
| ( skaf52(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf52(X0)))
| ~ ssList(skaf82(skaf52(X0)))
| ~ memberP(skaf82(skaf52(X0)),X1) ),
inference(superposition,[status(thm)],[c_11005,c_386]) ).
tcf(c_149771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf52(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf52(X3)))
| ~ ssList(skaf82(skaf52(X3)))
| ~ leq(X1,skaf83(skaf52(X3)))
| ~ leq(skaf83(skaf52(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf52(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf52(X3)),skaf82(skaf52(X3))))) ),
inference(superposition,[status(thm)],[c_11005,c_432]) ).
tcf(c_149772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf52(X3)))
| leq(skaf83(skaf52(X3)),X1)
| ( skaf52(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf52(X3)))
| ~ ssList(skaf82(skaf52(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf52(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf52(X3)),skaf82(skaf52(X3))))) ),
inference(superposition,[status(thm)],[c_11005,c_431]) ).
tcf(c_149773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf52(X3)))
| lt(skaf83(skaf52(X3)),X1)
| ( skaf52(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf52(X3)))
| ~ ssList(skaf82(skaf52(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf52(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf52(X3)),skaf82(skaf52(X3))))) ),
inference(superposition,[status(thm)],[c_11005,c_430]) ).
tcf(c_149774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf52(X3)))
| ( skaf52(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf52(X3)))
| ~ ssList(skaf82(skaf52(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf52(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf52(X3)),skaf82(skaf52(X3))))) ),
inference(superposition,[status(thm)],[c_11005,c_429]) ).
tcf(c_149775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf52(X3)))
| ( skaf52(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf52(X3)))
| ~ ssList(skaf82(skaf52(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf52(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf52(X3)),skaf82(skaf52(X3))))) ),
inference(superposition,[status(thm)],[c_11005,c_428]) ).
tcf(c_149776,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf52(X1)))
| ~ ssList(skaf82(skaf52(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf52(X1)),X2)),skaf52(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf52(X1)),X2)),cons(skaf83(skaf52(X1)),skaf82(skaf52(X1))))) ),
inference(superposition,[status(thm)],[c_11005,c_426]) ).
tcf(c_149777,plain,
! [X0: $i] :
( memberP(skaf52(X0),skaf83(skaf52(X0)))
| ( skaf52(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149740,c_259,c_260]) ).
tcf(c_149780,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( skaf82(skaf52(X0)) != skaf52(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149761,c_259,c_260]) ).
tcf(c_149783,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf52(X0)))
| ( skaf52(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf52(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149751,c_259,c_260]) ).
tcf(c_149787,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf52(X0)))
| ( skaf52(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf52(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149750,c_259,c_260]) ).
tcf(c_149791,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( skaf83(skaf52(X0)) = sk6 )
| ~ frontsegP(skaf52(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149749,c_259,c_260]) ).
tcf(c_149795,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( skaf83(skaf52(X0)) = sk5 )
| ~ frontsegP(skaf52(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149748,c_259,c_260]) ).
tcf(c_149799,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( skaf83(skaf52(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf52(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149747,c_259,c_260]) ).
tcf(c_149803,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( skaf83(skaf52(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf52(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149746,c_259,c_260]) ).
tcf(c_149807,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( skaf83(skaf52(X0)) = sk6 )
| ( skaf52(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149745,c_259,c_260]) ).
tcf(c_149811,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( skaf83(skaf52(X0)) = sk5 )
| ( skaf52(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149744,c_259,c_260]) ).
tcf(c_149815,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( skaf82(skaf52(X0)) = nil )
| ( skaf52(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149743,c_259,c_260]) ).
tcf(c_149819,plain,
! [X0: $i] :
( ( skaf52(X0) = nil )
| ( skaf82(skaf52(X0)) = nil )
| ( skaf52(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149742,c_259,c_260]) ).
tcf(c_149823,plain,
! [X0: $i,X1: $i] :
( memberP(skaf52(X0),X1)
| ( skaf52(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf52(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149770,c_259,c_260]) ).
tcf(c_149828,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf52(X0)))
| ( skaf52(X0) = nil )
| ( skaf82(skaf52(X0)) = nil )
| ~ strictorderedP(skaf52(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149760,c_259,c_260]) ).
tcf(c_149833,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf52(X0)))
| ( skaf52(X0) = nil )
| ( skaf82(skaf52(X0)) = nil )
| ~ totalorderedP(skaf52(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149759,c_259,c_260]) ).
tcf(c_149838,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf52(X0),cons(skaf83(skaf52(X0)),X1))
| ( skaf52(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf52(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149769,c_259,c_260]) ).
tcf(c_149843,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf52(X1)),X0),skaf52(X1))
| ( skaf52(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf52(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149763,c_259,c_260]) ).
tcf(c_149848,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf52(X2)))
| ( skaf52(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf52(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149768,c_259,c_260]) ).
tcf(c_149854,plain,
! [X0: $i] :
( lt(skaf83(skaf52(X0)),hd(skaf82(skaf52(X0))))
| ( skaf52(X0) = nil )
| ( skaf82(skaf52(X0)) = nil )
| ~ strictorderedP(skaf52(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149758,c_259,c_260]) ).
tcf(c_149859,plain,
! [X0: $i] :
( leq(skaf83(skaf52(X0)),hd(skaf82(skaf52(X0))))
| ( skaf52(X0) = nil )
| ( skaf82(skaf52(X0)) = nil )
| ~ totalorderedP(skaf52(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149757,c_259,c_260]) ).
tcf(c_149864,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf52(X0)),X2)
| ( skaf52(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf52(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149755,c_259,c_260]) ).
tcf(c_149870,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X2) = nil )
| ( skaf83(skaf52(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf52(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149767,c_259,c_260]) ).
tcf(c_149876,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf52(X0)),X1)
| ( skaf52(X0) = nil )
| ( skaf83(skaf52(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf52(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149756,c_259,c_260]) ).
tcf(c_149882,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X0) = nil )
| ( skaf83(skaf52(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf52(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149754,c_259,c_260]) ).
tcf(c_149888,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X2) = nil )
| ( skaf83(skaf52(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf52(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149766,c_259,c_260]) ).
tcf(c_149894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X2) = nil )
| ( skaf82(skaf52(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf52(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149765,c_259,c_260]) ).
tcf(c_149900,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf52(X1)),skaf83(skaf52(X1)))
| ( skaf52(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf52(X1)),skaf82(skaf52(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149739,c_259,c_260]) ).
tcf(c_149905,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X2) = nil )
| ( skaf83(skaf52(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf52(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf52(X2)),skaf82(skaf52(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149764,c_259,c_260]) ).
tcf(c_149912,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf52(X1)),X2)),skaf52(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf52(X1)),X2)),cons(skaf83(skaf52(X1)),skaf82(skaf52(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149776,c_259,c_260]) ).
tcf(c_149918,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf52(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf52(X1)),cons(skaf83(skaf52(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf52(X1)),skaf82(skaf52(X1)))),cons(skaf83(skaf52(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149738,c_259,c_260]) ).
tcf(c_149924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf52(X3)))
| ( skaf52(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf52(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf52(X3)),skaf82(skaf52(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149775,c_259,c_260]) ).
tcf(c_149932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf52(X3)))
| ( skaf52(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf52(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf52(X3)),skaf82(skaf52(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149774,c_259,c_260]) ).
tcf(c_149940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf52(X1)),X2)
| ( skaf52(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf52(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf52(X1)),skaf82(skaf52(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149737,c_259,c_260]) ).
tcf(c_149948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf52(X1)),X2)
| ( skaf52(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf52(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf52(X1)),skaf82(skaf52(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149736,c_259,c_260]) ).
tcf(c_149956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf52(X3)))
| lt(skaf83(skaf52(X3)),X1)
| ( skaf52(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf52(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf52(X3)),skaf82(skaf52(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149773,c_259,c_260]) ).
tcf(c_149965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf52(X3)))
| leq(skaf83(skaf52(X3)),X1)
| ( skaf52(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf52(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf52(X3)),skaf82(skaf52(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149772,c_259,c_260]) ).
tcf(c_149974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf52(X1)))
| lt(skaf83(skaf52(X1)),X2)
| ( skaf52(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf52(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf52(X1)),skaf82(skaf52(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149735,c_259,c_260]) ).
tcf(c_149983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf52(X1)))
| leq(skaf83(skaf52(X1)),X2)
| ( skaf52(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf52(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf52(X1)),skaf82(skaf52(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149734,c_259,c_260]) ).
tcf(c_149992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf52(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf52(X3)))
| ~ leq(skaf83(skaf52(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf52(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf52(X3)),skaf82(skaf52(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149771,c_259,c_260]) ).
tcf(c_150001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf52(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf52(X1)))
| ~ leq(skaf83(skaf52(X1)),X2)
| ~ ssList(app(app(X0,skaf52(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf52(X1)),skaf82(skaf52(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149733,c_259,c_260]) ).
tcf(c_150193,plain,
( frontsegP(iPr_def_15,skaf46(iPr_def_13,iPr_def_13))
| ~ ssList(skaf46(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_43472,c_13551]) ).
tcf(c_150194,plain,
( frontsegP(iPr_def_15,skaf82(iPr_def_15))
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55990,c_13551]) ).
tcf(c_150195,plain,
( frontsegP(iPr_def_15,skaf82(iPr_def_15))
| ~ ssList(iPr_def_13)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(skaf82(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_55736,c_13551]) ).
tcf(c_150198,plain,
frontsegP(iPr_def_15,skaf46(iPr_def_13,iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_150193,c_297]) ).
tcf(c_150205,plain,
! [X0: $i] : skaf46(skaf63(X0),nil) = skaf63(X0),
inference(demodulation,[status(thm)],[c_13591,c_9128]) ).
tcf(c_150208,plain,
! [X0: $i] :
( ( skaf46(skaf63(X0),nil) = nil )
| ( cons(hd(skaf63(X0)),tl(skaf63(X0))) = skaf63(X0) ) ),
inference(superposition,[status(thm)],[c_150205,c_10793]) ).
tcf(c_150228,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ frontsegP(X0,cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_149712,c_401]) ).
tcf(c_150229,plain,
( ( app(nil,skaf45(cons(sk6,iPr_def_16),nil)) = cons(sk6,iPr_def_16) )
| ~ ssList(nil)
| ~ ssList(cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_149712,c_379]) ).
tcf(c_150230,plain,
( ( cons(sk6,iPr_def_16) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sk6,iPr_def_16))
| ~ frontsegP(nil,cons(sk6,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_149712,c_376]) ).
tcf(c_150231,plain,
~ frontsegP(nil,cons(sk6,iPr_def_16)),
inference(forward_subsumption_resolution,[status(thm)],[c_150230,c_137613,c_255,c_137603]) ).
tcf(c_150232,plain,
app(nil,skaf45(cons(sk6,iPr_def_16),nil)) = cons(sk6,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_150229,c_255,c_137603]) ).
tcf(c_150234,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_13,iPr_def_13))
| ~ ssList(iPr_def_15)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_15)
| ~ ssList(skaf46(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_150198,c_401]) ).
tcf(c_150235,plain,
( ( app(skaf46(iPr_def_13,iPr_def_13),skaf45(iPr_def_15,skaf46(iPr_def_13,iPr_def_13))) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(skaf46(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_150198,c_379]) ).
tcf(c_150236,plain,
( ( skaf46(iPr_def_13,iPr_def_13) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(skaf46(iPr_def_13,iPr_def_13))
| ~ frontsegP(skaf46(iPr_def_13,iPr_def_13),iPr_def_15) ),
inference(superposition,[status(thm)],[c_150198,c_376]) ).
tcf(c_150237,plain,
( frontsegP(iPr_def_16,skaf46(iPr_def_13,iPr_def_13))
| ~ ssList(skaf46(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_150198,c_26179]) ).
tcf(c_150238,plain,
frontsegP(iPr_def_16,skaf46(iPr_def_13,iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_150237,c_297]) ).
tcf(c_150239,plain,
( ( skaf46(iPr_def_13,iPr_def_13) = iPr_def_15 )
| ~ frontsegP(skaf46(iPr_def_13,iPr_def_13),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150236,c_24748,c_297]) ).
tcf(c_150242,plain,
app(skaf46(iPr_def_13,iPr_def_13),skaf45(iPr_def_15,skaf46(iPr_def_13,iPr_def_13))) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_150235,c_24748,c_297]) ).
tcf(c_150243,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_13,iPr_def_13))
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150234,c_24748,c_297]) ).
tcf(c_150258,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_13,iPr_def_13))
| ~ ssList(iPr_def_16)
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16)
| ~ ssList(skaf46(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_150238,c_401]) ).
tcf(c_150259,plain,
( ( app(skaf46(iPr_def_13,iPr_def_13),skaf45(iPr_def_16,skaf46(iPr_def_13,iPr_def_13))) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf46(iPr_def_13,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_150238,c_379]) ).
tcf(c_150260,plain,
( ( skaf46(iPr_def_13,iPr_def_13) = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(skaf46(iPr_def_13,iPr_def_13))
| ~ frontsegP(skaf46(iPr_def_13,iPr_def_13),iPr_def_16) ),
inference(superposition,[status(thm)],[c_150238,c_376]) ).
tcf(c_150261,plain,
( ( skaf46(iPr_def_13,iPr_def_13) = iPr_def_16 )
| ~ frontsegP(skaf46(iPr_def_13,iPr_def_13),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150260,c_9020,c_297]) ).
tcf(c_150264,plain,
app(skaf46(iPr_def_13,iPr_def_13),skaf45(iPr_def_16,skaf46(iPr_def_13,iPr_def_13))) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_150259,c_9020,c_297]) ).
tcf(c_150265,plain,
! [X0: $i] :
( frontsegP(X0,skaf46(iPr_def_13,iPr_def_13))
| ~ ssList(X0)
| ~ frontsegP(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150258,c_9020,c_297]) ).
tcf(c_150304,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_384,c_144889]) ).
tcf(c_150305,plain,
! [X0: $i] :
( frontsegP(app(app(sk8,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(app(sk8,sk4),X0)) ),
inference(superposition,[status(thm)],[c_808,c_144889]) ).
tcf(c_150306,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_144889]) ).
tcf(c_150307,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_51316,c_144889]) ).
tcf(c_150308,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_51801,c_144889]) ).
tcf(c_150309,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk4,app(sk8,sk4))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_144889]) ).
tcf(c_150310,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_79173,c_144889]) ).
tcf(c_150311,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk4,app(sk8,sk4))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_144889]) ).
tcf(c_150312,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk4,app(sk8,sk4))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_144889]) ).
tcf(c_150324,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_144889]) ).
tcf(c_150325,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_127325,c_144889]) ).
tcf(c_150326,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_68249,c_144889]) ).
tcf(c_150327,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_68556,c_144889]) ).
tcf(c_150328,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_68986,c_144889]) ).
tcf(c_150329,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_124798,c_144889]) ).
tcf(c_150330,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_133007,c_144889]) ).
tcf(c_150331,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_134188,c_144889]) ).
tcf(c_150332,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_134723,c_144889]) ).
tcf(c_150333,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(iPr_def_12,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150325,c_112727,c_127316]) ).
tcf(c_150337,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(iPr_def_12,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150324,c_112727,c_66402]) ).
tcf(c_150341,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150310,c_112727,c_79152]) ).
tcf(c_150345,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150308,c_112727,c_28938]) ).
tcf(c_150349,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150307,c_112727,c_28940]) ).
tcf(c_150353,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150306,c_112727,c_28942]) ).
tcf(c_150357,plain,
! [X0: $i] :
( frontsegP(app(app(sk8,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(app(sk8,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150305,c_112727]) ).
tcf(c_150362,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150312,c_112727,c_79220]) ).
tcf(c_150366,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150311,c_112727,c_79223]) ).
tcf(c_150370,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150309,c_112727,c_79226]) ).
tcf(c_150374,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(cons(sk6,sk8),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150332,c_112727,c_134696]) ).
tcf(c_150378,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(cons(sk6,sk7),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150331,c_112727,c_134161]) ).
tcf(c_150382,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(cons(sk6,sk4),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150330,c_112727,c_132980]) ).
tcf(c_150386,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(cons(sk5,sk4),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150329,c_112727,c_124771]) ).
tcf(c_150390,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(cons(sk6,sk8),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150328,c_112727,c_68959]) ).
tcf(c_150394,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(cons(sk6,sk7),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150327,c_112727,c_68529]) ).
tcf(c_150398,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(cons(sk6,sk4),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150326,c_112727,c_68222]) ).
tcf(c_150402,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150304,c_112727]) ).
tcf(c_150663,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_384,c_144909]) ).
tcf(c_150664,plain,
! [X0: $i] :
( frontsegP(app(app(sk8,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(app(sk8,sk4),X0)) ),
inference(superposition,[status(thm)],[c_808,c_144909]) ).
tcf(c_150665,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_144909]) ).
tcf(c_150666,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_51316,c_144909]) ).
tcf(c_150667,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_51801,c_144909]) ).
tcf(c_150668,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk4,app(sk8,sk4))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_144909]) ).
tcf(c_150669,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_79173,c_144909]) ).
tcf(c_150670,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk4,app(sk8,sk4))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_144909]) ).
tcf(c_150671,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk4,app(sk8,sk4))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_144909]) ).
tcf(c_150683,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_144909]) ).
tcf(c_150684,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_127325,c_144909]) ).
tcf(c_150685,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_68249,c_144909]) ).
tcf(c_150686,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_68556,c_144909]) ).
tcf(c_150687,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_68986,c_144909]) ).
tcf(c_150688,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_124798,c_144909]) ).
tcf(c_150689,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_133007,c_144909]) ).
tcf(c_150690,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_134188,c_144909]) ).
tcf(c_150691,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_134723,c_144909]) ).
tcf(c_150692,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(iPr_def_12,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150684,c_112727,c_127316]) ).
tcf(c_150696,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(iPr_def_12,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150683,c_112727,c_66402]) ).
tcf(c_150700,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150669,c_112727,c_79152]) ).
tcf(c_150704,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150667,c_112727,c_28938]) ).
tcf(c_150708,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150666,c_112727,c_28940]) ).
tcf(c_150712,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150665,c_112727,c_28942]) ).
tcf(c_150716,plain,
! [X0: $i] :
( frontsegP(app(app(sk8,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(app(sk8,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150664,c_112727]) ).
tcf(c_150721,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150671,c_112727,c_79220]) ).
tcf(c_150725,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150670,c_112727,c_79223]) ).
tcf(c_150729,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150668,c_112727,c_79226]) ).
tcf(c_150733,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(cons(sk6,sk8),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150691,c_112727,c_134696]) ).
tcf(c_150737,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(cons(sk6,sk7),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150690,c_112727,c_134161]) ).
tcf(c_150741,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(cons(sk6,sk4),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150689,c_112727,c_132980]) ).
tcf(c_150745,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(cons(sk5,sk4),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150688,c_112727,c_124771]) ).
tcf(c_150749,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(cons(sk6,sk8),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150687,c_112727,c_68959]) ).
tcf(c_150753,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(cons(sk6,sk7),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150686,c_112727,c_68529]) ).
tcf(c_150757,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(cons(sk6,sk4),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150685,c_112727,c_68222]) ).
tcf(c_150761,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150663,c_112727]) ).
tcf(c_150811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf51(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf51(X1)))
| ~ ssList(skaf82(skaf51(X1)))
| ~ leq(X2,skaf83(skaf51(X1)))
| ~ leq(skaf83(skaf51(X1)),X2)
| ~ ssList(app(app(X0,skaf51(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf51(X1)),skaf82(skaf51(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11006,c_432]) ).
tcf(c_150812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf51(X1)))
| leq(skaf83(skaf51(X1)),X2)
| ( skaf51(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf51(X1)))
| ~ ssList(skaf82(skaf51(X1)))
| ~ ssList(app(app(X0,skaf51(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf51(X1)),skaf82(skaf51(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11006,c_431]) ).
tcf(c_150813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf51(X1)))
| lt(skaf83(skaf51(X1)),X2)
| ( skaf51(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf51(X1)))
| ~ ssList(skaf82(skaf51(X1)))
| ~ ssList(app(app(X0,skaf51(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf51(X1)),skaf82(skaf51(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11006,c_430]) ).
tcf(c_150814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf51(X1)),X2)
| ( skaf51(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf51(X1)))
| ~ ssList(skaf82(skaf51(X1)))
| ~ ssList(app(app(X0,skaf51(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf51(X1)),skaf82(skaf51(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11006,c_429]) ).
tcf(c_150815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf51(X1)),X2)
| ( skaf51(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf51(X1)))
| ~ ssList(skaf82(skaf51(X1)))
| ~ ssList(app(app(X0,skaf51(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf51(X1)),skaf82(skaf51(X1)))),cons(X2,X3))) ),
inference(superposition,[status(thm)],[c_11006,c_428]) ).
tcf(c_150816,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf51(X1)))
| ~ ssList(skaf82(skaf51(X1)))
| ~ ssList(app(app(X0,skaf51(X1)),cons(skaf83(skaf51(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf51(X1)),skaf82(skaf51(X1)))),cons(skaf83(skaf51(X1)),X2))) ),
inference(superposition,[status(thm)],[c_11006,c_426]) ).
tcf(c_150817,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf51(X1)),skaf83(skaf51(X1)))
| ( skaf51(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf51(X1)))
| ~ ssList(skaf82(skaf51(X1)))
| ~ ssList(app(X0,cons(skaf83(skaf51(X1)),skaf82(skaf51(X1))))) ),
inference(superposition,[status(thm)],[c_11006,c_422]) ).
tcf(c_150818,plain,
! [X0: $i] :
( memberP(skaf51(X0),skaf83(skaf51(X0)))
| ( skaf51(X0) = nil )
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_11006,c_385]) ).
tcf(c_150820,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( skaf82(skaf51(X0)) = nil )
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0)))
| ( skaf51(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11006,c_21847]) ).
tcf(c_150821,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( skaf82(skaf51(X0)) = nil )
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0)))
| ( skaf51(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11006,c_21842]) ).
tcf(c_150822,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( skaf83(skaf51(X0)) = sk5 )
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0)))
| ( skaf51(X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11006,c_21750]) ).
tcf(c_150823,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( skaf83(skaf51(X0)) = sk6 )
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0)))
| ( skaf51(X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11006,c_21745]) ).
tcf(c_150824,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( skaf83(skaf51(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf51(X0))
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_11006,c_21595]) ).
tcf(c_150825,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( skaf83(skaf51(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf51(X0))
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_11006,c_21590]) ).
tcf(c_150826,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( skaf83(skaf51(X0)) = sk5 )
| ~ frontsegP(skaf51(X0),iPr_def_12)
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_11006,c_21585]) ).
tcf(c_150827,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( skaf83(skaf51(X0)) = sk6 )
| ~ frontsegP(skaf51(X0),iPr_def_14)
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_11006,c_21580]) ).
tcf(c_150828,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf51(X0)))
| ( skaf51(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf51(X0))
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_11006,c_21202]) ).
tcf(c_150829,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf51(X0)))
| ( skaf51(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf51(X0))
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_11006,c_21197]) ).
tcf(c_150832,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X0) = nil )
| ( skaf83(skaf51(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0)))
| ~ frontsegP(skaf51(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_11006,c_423]) ).
tcf(c_150833,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf51(X0)),X2)
| ( skaf51(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0)))
| ~ frontsegP(skaf51(X0),cons(X1,X2)) ),
inference(superposition,[status(thm)],[c_11006,c_421]) ).
tcf(c_150834,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf51(X0)),X1)
| ( skaf51(X0) = nil )
| ( skaf83(skaf51(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0)))
| ~ memberP(skaf51(X0),X1) ),
inference(superposition,[status(thm)],[c_11006,c_408]) ).
tcf(c_150835,plain,
! [X0: $i] :
( leq(skaf83(skaf51(X0)),hd(skaf82(skaf51(X0))))
| ( skaf51(X0) = nil )
| ( skaf82(skaf51(X0)) = nil )
| ~ totalorderedP(skaf51(X0))
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_11006,c_382]) ).
tcf(c_150836,plain,
! [X0: $i] :
( lt(skaf83(skaf51(X0)),hd(skaf82(skaf51(X0))))
| ( skaf51(X0) = nil )
| ( skaf82(skaf51(X0)) = nil )
| ~ strictorderedP(skaf51(X0))
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_11006,c_381]) ).
tcf(c_150837,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf51(X0)))
| ( skaf51(X0) = nil )
| ( skaf82(skaf51(X0)) = nil )
| ~ totalorderedP(skaf51(X0))
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_11006,c_372]) ).
tcf(c_150838,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf51(X0)))
| ( skaf51(X0) = nil )
| ( skaf82(skaf51(X0)) = nil )
| ~ strictorderedP(skaf51(X0))
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0))) ),
inference(superposition,[status(thm)],[c_11006,c_371]) ).
tcf(c_150839,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0)))
| ( skaf82(skaf51(X0)) != skaf51(X0) ) ),
inference(superposition,[status(thm)],[c_11006,c_346]) ).
tcf(c_150841,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf51(X1)),X0),skaf51(X1))
| ( skaf51(X1) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf51(X1)))
| ~ ssList(skaf82(skaf51(X1)))
| ~ frontsegP(X0,skaf82(skaf51(X1))) ),
inference(superposition,[status(thm)],[c_11006,c_425]) ).
tcf(c_150842,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X2) = nil )
| ( skaf83(skaf51(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf51(X2)))
| ~ ssList(skaf82(skaf51(X2)))
| ~ ssList(app(X0,cons(X1,skaf51(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf51(X2)),skaf82(skaf51(X2)))))) ),
inference(superposition,[status(thm)],[c_11006,c_427]) ).
tcf(c_150843,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X2) = nil )
| ( skaf82(skaf51(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf51(X2)))
| ~ ssList(skaf82(skaf51(X2)))
| ( cons(X0,X1) != skaf51(X2) ) ),
inference(superposition,[status(thm)],[c_11006,c_418]) ).
tcf(c_150844,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X2) = nil )
| ( skaf83(skaf51(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf51(X2)))
| ~ ssList(skaf82(skaf51(X2)))
| ( cons(X0,X1) != skaf51(X2) ) ),
inference(superposition,[status(thm)],[c_11006,c_417]) ).
tcf(c_150845,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X2) = nil )
| ( skaf83(skaf51(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf51(X2)))
| ~ ssList(skaf82(skaf51(X2)))
| ~ frontsegP(cons(X0,X1),skaf51(X2)) ),
inference(superposition,[status(thm)],[c_11006,c_423]) ).
tcf(c_150846,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf51(X2)))
| ( skaf51(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf51(X2)))
| ~ ssList(skaf82(skaf51(X2)))
| ~ frontsegP(cons(X0,X1),skaf51(X2)) ),
inference(superposition,[status(thm)],[c_11006,c_421]) ).
tcf(c_150847,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf51(X0),cons(skaf83(skaf51(X0)),X1))
| ( skaf51(X0) = nil )
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0)))
| ~ frontsegP(skaf82(skaf51(X0)),X1) ),
inference(superposition,[status(thm)],[c_11006,c_425]) ).
tcf(c_150848,plain,
! [X0: $i,X1: $i] :
( memberP(skaf51(X0),X1)
| ( skaf51(X0) = nil )
| ~ ssItem(X1)
| ~ ssItem(skaf83(skaf51(X0)))
| ~ ssList(skaf82(skaf51(X0)))
| ~ memberP(skaf82(skaf51(X0)),X1) ),
inference(superposition,[status(thm)],[c_11006,c_386]) ).
tcf(c_150849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf51(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf51(X3)))
| ~ ssList(skaf82(skaf51(X3)))
| ~ leq(X1,skaf83(skaf51(X3)))
| ~ leq(skaf83(skaf51(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf51(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf51(X3)),skaf82(skaf51(X3))))) ),
inference(superposition,[status(thm)],[c_11006,c_432]) ).
tcf(c_150850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf51(X3)))
| leq(skaf83(skaf51(X3)),X1)
| ( skaf51(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf51(X3)))
| ~ ssList(skaf82(skaf51(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf51(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf51(X3)),skaf82(skaf51(X3))))) ),
inference(superposition,[status(thm)],[c_11006,c_431]) ).
tcf(c_150851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf51(X3)))
| lt(skaf83(skaf51(X3)),X1)
| ( skaf51(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf51(X3)))
| ~ ssList(skaf82(skaf51(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf51(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf51(X3)),skaf82(skaf51(X3))))) ),
inference(superposition,[status(thm)],[c_11006,c_430]) ).
tcf(c_150852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf51(X3)))
| ( skaf51(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf51(X3)))
| ~ ssList(skaf82(skaf51(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf51(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf51(X3)),skaf82(skaf51(X3))))) ),
inference(superposition,[status(thm)],[c_11006,c_429]) ).
tcf(c_150853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf51(X3)))
| ( skaf51(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf51(X3)))
| ~ ssList(skaf82(skaf51(X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf51(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf51(X3)),skaf82(skaf51(X3))))) ),
inference(superposition,[status(thm)],[c_11006,c_428]) ).
tcf(c_150854,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf51(X1)))
| ~ ssList(skaf82(skaf51(X1)))
| ~ ssList(app(app(X0,cons(skaf83(skaf51(X1)),X2)),skaf51(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf51(X1)),X2)),cons(skaf83(skaf51(X1)),skaf82(skaf51(X1))))) ),
inference(superposition,[status(thm)],[c_11006,c_426]) ).
tcf(c_150855,plain,
! [X0: $i] :
( memberP(skaf51(X0),skaf83(skaf51(X0)))
| ( skaf51(X0) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150818,c_259,c_260]) ).
tcf(c_150858,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( skaf82(skaf51(X0)) != skaf51(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150839,c_259,c_260]) ).
tcf(c_150861,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf51(X0)))
| ( skaf51(X0) = nil )
| ~ frontsegP(iPr_def_14,skaf51(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150829,c_259,c_260]) ).
tcf(c_150865,plain,
! [X0: $i] :
( frontsegP(nil,skaf82(skaf51(X0)))
| ( skaf51(X0) = nil )
| ~ frontsegP(iPr_def_12,skaf51(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150828,c_259,c_260]) ).
tcf(c_150869,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( skaf83(skaf51(X0)) = sk6 )
| ~ frontsegP(skaf51(X0),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150827,c_259,c_260]) ).
tcf(c_150873,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( skaf83(skaf51(X0)) = sk5 )
| ~ frontsegP(skaf51(X0),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150826,c_259,c_260]) ).
tcf(c_150877,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( skaf83(skaf51(X0)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf51(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150825,c_259,c_260]) ).
tcf(c_150881,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( skaf83(skaf51(X0)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf51(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150824,c_259,c_260]) ).
tcf(c_150885,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( skaf83(skaf51(X0)) = sk6 )
| ( skaf51(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150823,c_259,c_260]) ).
tcf(c_150889,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( skaf83(skaf51(X0)) = sk5 )
| ( skaf51(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150822,c_259,c_260]) ).
tcf(c_150893,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( skaf82(skaf51(X0)) = nil )
| ( skaf51(X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150821,c_259,c_260]) ).
tcf(c_150897,plain,
! [X0: $i] :
( ( skaf51(X0) = nil )
| ( skaf82(skaf51(X0)) = nil )
| ( skaf51(X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150820,c_259,c_260]) ).
tcf(c_150901,plain,
! [X0: $i,X1: $i] :
( memberP(skaf51(X0),X1)
| ( skaf51(X0) = nil )
| ~ ssItem(X1)
| ~ memberP(skaf82(skaf51(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150848,c_259,c_260]) ).
tcf(c_150906,plain,
! [X0: $i] :
( strictorderedP(skaf82(skaf51(X0)))
| ( skaf51(X0) = nil )
| ( skaf82(skaf51(X0)) = nil )
| ~ strictorderedP(skaf51(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150838,c_259,c_260]) ).
tcf(c_150911,plain,
! [X0: $i] :
( totalorderedP(skaf82(skaf51(X0)))
| ( skaf51(X0) = nil )
| ( skaf82(skaf51(X0)) = nil )
| ~ totalorderedP(skaf51(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150837,c_259,c_260]) ).
tcf(c_150916,plain,
! [X0: $i,X1: $i] :
( frontsegP(skaf51(X0),cons(skaf83(skaf51(X0)),X1))
| ( skaf51(X0) = nil )
| ~ ssList(X1)
| ~ frontsegP(skaf82(skaf51(X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150847,c_259,c_260]) ).
tcf(c_150921,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(skaf83(skaf51(X1)),X0),skaf51(X1))
| ( skaf51(X1) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf51(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150841,c_259,c_260]) ).
tcf(c_150926,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X1,skaf82(skaf51(X2)))
| ( skaf51(X2) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf51(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150846,c_259,c_260]) ).
tcf(c_150932,plain,
! [X0: $i] :
( lt(skaf83(skaf51(X0)),hd(skaf82(skaf51(X0))))
| ( skaf51(X0) = nil )
| ( skaf82(skaf51(X0)) = nil )
| ~ strictorderedP(skaf51(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150836,c_259,c_260]) ).
tcf(c_150937,plain,
! [X0: $i] :
( leq(skaf83(skaf51(X0)),hd(skaf82(skaf51(X0))))
| ( skaf51(X0) = nil )
| ( skaf82(skaf51(X0)) = nil )
| ~ totalorderedP(skaf51(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150835,c_259,c_260]) ).
tcf(c_150942,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf82(skaf51(X0)),X2)
| ( skaf51(X0) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf51(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150833,c_259,c_260]) ).
tcf(c_150948,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X2) = nil )
| ( skaf83(skaf51(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf51(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150845,c_259,c_260]) ).
tcf(c_150954,plain,
! [X0: $i,X1: $i] :
( memberP(skaf82(skaf51(X0)),X1)
| ( skaf51(X0) = nil )
| ( skaf83(skaf51(X0)) = X1 )
| ~ ssItem(X1)
| ~ memberP(skaf51(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150834,c_259,c_260]) ).
tcf(c_150960,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X0) = nil )
| ( skaf83(skaf51(X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ frontsegP(skaf51(X0),cons(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150832,c_259,c_260]) ).
tcf(c_150966,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X2) = nil )
| ( skaf83(skaf51(X2)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf51(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150844,c_259,c_260]) ).
tcf(c_150972,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X2) = nil )
| ( skaf82(skaf51(X2)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf51(X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150843,c_259,c_260]) ).
tcf(c_150978,plain,
! [X0: $i,X1: $i] :
( memberP(app(X0,skaf51(X1)),skaf83(skaf51(X1)))
| ( skaf51(X1) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf51(X1)),skaf82(skaf51(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150817,c_259,c_260]) ).
tcf(c_150983,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X2) = nil )
| ( skaf83(skaf51(X2)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf51(X2))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf51(X2)),skaf82(skaf51(X2)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150842,c_259,c_260]) ).
tcf(c_150990,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf51(X1)),X2)),skaf51(X1)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf51(X1)),X2)),cons(skaf83(skaf51(X1)),skaf82(skaf51(X1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150854,c_259,c_260]) ).
tcf(c_150996,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( skaf51(X1) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf51(X1)),cons(skaf83(skaf51(X1)),X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf51(X1)),skaf82(skaf51(X1)))),cons(skaf83(skaf51(X1)),X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150816,c_259,c_260]) ).
tcf(c_151002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf51(X3)))
| ( skaf51(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf51(X3)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf51(X3)),skaf82(skaf51(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150853,c_259,c_260]) ).
tcf(c_151010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf51(X3)))
| ( skaf51(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf51(X3)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf51(X3)),skaf82(skaf51(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150852,c_259,c_260]) ).
tcf(c_151018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(skaf83(skaf51(X1)),X2)
| ( skaf51(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf51(X1)),cons(X2,X3)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf51(X1)),skaf82(skaf51(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150815,c_259,c_260]) ).
tcf(c_151026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(skaf83(skaf51(X1)),X2)
| ( skaf51(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf51(X1)),cons(X2,X3)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf51(X1)),skaf82(skaf51(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150814,c_259,c_260]) ).
tcf(c_151034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X1,skaf83(skaf51(X3)))
| lt(skaf83(skaf51(X3)),X1)
| ( skaf51(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf51(X3)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf51(X3)),skaf82(skaf51(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150851,c_259,c_260]) ).
tcf(c_151043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X1,skaf83(skaf51(X3)))
| leq(skaf83(skaf51(X3)),X1)
| ( skaf51(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf51(X3)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf51(X3)),skaf82(skaf51(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150850,c_259,c_260]) ).
tcf(c_151052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( lt(X2,skaf83(skaf51(X1)))
| lt(skaf83(skaf51(X1)),X2)
| ( skaf51(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf51(X1)),cons(X2,X3)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf51(X1)),skaf82(skaf51(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150813,c_259,c_260]) ).
tcf(c_151061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X2,skaf83(skaf51(X1)))
| leq(skaf83(skaf51(X1)),X2)
| ( skaf51(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf51(X1)),cons(X2,X3)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf51(X1)),skaf82(skaf51(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150812,c_259,c_260]) ).
tcf(c_151070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf51(X3) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf51(X3)))
| ~ leq(skaf83(skaf51(X3)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf51(X3)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf51(X3)),skaf82(skaf51(X3))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150849,c_259,c_260]) ).
tcf(c_151079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf51(X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ leq(X2,skaf83(skaf51(X1)))
| ~ leq(skaf83(skaf51(X1)),X2)
| ~ ssList(app(app(X0,skaf51(X1)),cons(X2,X3)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf51(X1)),skaf82(skaf51(X1)))),cons(X2,X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150811,c_259,c_260]) ).
tcf(c_151276,plain,
! [X0: $i] : skaf46(skaf62(X0),nil) = skaf62(X0),
inference(demodulation,[status(thm)],[c_13599,c_9128]) ).
tcf(c_151279,plain,
! [X0: $i] :
( ( skaf46(skaf62(X0),nil) = nil )
| ( cons(hd(skaf62(X0)),tl(skaf62(X0))) = skaf62(X0) ) ),
inference(superposition,[status(thm)],[c_151276,c_10793]) ).
tcf(c_151301,plain,
( memberP(iPr_def_15,sk5)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_16170,c_13837]) ).
tcf(c_151303,plain,
memberP(iPr_def_15,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_151301,c_6485]) ).
tcf(c_151315,plain,
( ( app(skaf42(iPr_def_15,sk5),cons(sk5,skaf43(sk5,iPr_def_15))) = iPr_def_15 )
| ~ ssItem(sk5)
| ~ ssList(iPr_def_15) ),
inference(superposition,[status(thm)],[c_151303,c_416]) ).
tcf(c_151316,plain,
( memberP(iPr_def_16,sk5)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_151303,c_26677]) ).
tcf(c_151317,plain,
memberP(iPr_def_16,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_151316,c_6485]) ).
tcf(c_151318,plain,
app(skaf42(iPr_def_15,sk5),cons(sk5,skaf43(sk5,iPr_def_15))) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_151315,c_6485,c_24748]) ).
tcf(c_151319,plain,
( ( app(skaf42(iPr_def_16,sk5),cons(sk5,skaf43(sk5,iPr_def_16))) = iPr_def_16 )
| ~ ssItem(sk5)
| ~ ssList(iPr_def_16) ),
inference(superposition,[status(thm)],[c_151317,c_416]) ).
tcf(c_151321,plain,
app(skaf42(iPr_def_16,sk5),cons(sk5,skaf43(sk5,iPr_def_16))) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_151319,c_6485,c_9020]) ).
tcf(c_151322,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_12,cons(sk5,sk7))))
| ( app(iPr_def_12,cons(sk5,sk7)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(app(iPr_def_12,cons(sk5,sk7)))
| ~ ssList(app(iPr_def_12,cons(sk5,sk7))) ),
inference(superposition,[status(thm)],[c_127384,c_407]) ).
tcf(c_151323,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_12,cons(sk5,sk7))))
| ( app(iPr_def_12,cons(sk5,sk7)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(app(iPr_def_12,cons(sk5,sk7)))
| ~ ssList(app(iPr_def_12,cons(sk5,sk7))) ),
inference(superposition,[status(thm)],[c_127384,c_406]) ).
tcf(c_151339,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_14,cons(sk5,sk7))))
| ( app(iPr_def_14,cons(sk5,sk7)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(app(iPr_def_14,cons(sk5,sk7)))
| ~ ssList(app(iPr_def_14,cons(sk5,sk7))) ),
inference(superposition,[status(thm)],[c_127386,c_407]) ).
tcf(c_151340,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_14,cons(sk5,sk7))))
| ( app(iPr_def_14,cons(sk5,sk7)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(app(iPr_def_14,cons(sk5,sk7)))
| ~ ssList(app(iPr_def_14,cons(sk5,sk7))) ),
inference(superposition,[status(thm)],[c_127386,c_406]) ).
tcf(c_151358,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),cons(sk5,skaf43(sk5,iPr_def_15)))
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15)))
| ~ ssList(app(app(skaf42(iPr_def_15,sk5),cons(sk5,skaf43(sk5,iPr_def_15))),X0)) ),
inference(superposition,[status(thm)],[c_151318,c_420]) ).
tcf(c_151359,plain,
! [X0: $i] :
( ( skaf42(iPr_def_15,sk5) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15)))
| ( app(X0,cons(sk5,skaf43(sk5,iPr_def_15))) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_151318,c_398]) ).
tcf(c_151361,plain,
! [X0: $i] :
( memberP(skaf42(iPr_def_15,sk5),X0)
| memberP(cons(sk5,skaf43(sk5,iPr_def_15)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_15,X0)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15))) ),
inference(superposition,[status(thm)],[c_151318,c_405]) ).
tcf(c_151364,plain,
( frontsegP(iPr_def_15,skaf42(iPr_def_15,sk5))
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15))) ),
inference(superposition,[status(thm)],[c_151318,c_808]) ).
tcf(c_151365,plain,
( rearsegP(iPr_def_15,cons(sk5,skaf43(sk5,iPr_def_15)))
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15))) ),
inference(superposition,[status(thm)],[c_151318,c_807]) ).
tcf(c_151366,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15)))
| ~ memberP(cons(sk5,skaf43(sk5,iPr_def_15)),X0) ),
inference(superposition,[status(thm)],[c_151318,c_388]) ).
tcf(c_151367,plain,
! [X0: $i] :
( rearsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15)))
| ~ rearsegP(cons(sk5,skaf43(sk5,iPr_def_15)),X0) ),
inference(superposition,[status(thm)],[c_151318,c_383]) ).
tcf(c_151368,plain,
! [X0: $i] :
( ( cons(sk5,skaf43(sk5,iPr_def_15)) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15)))
| ( app(skaf42(iPr_def_15,sk5),X0) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_151318,c_397]) ).
tcf(c_151369,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ memberP(skaf42(iPr_def_15,sk5),X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15))) ),
inference(superposition,[status(thm)],[c_151318,c_387]) ).
tcf(c_151370,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ frontsegP(skaf42(iPr_def_15,sk5),X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15))) ),
inference(superposition,[status(thm)],[c_151318,c_384]) ).
tcf(c_151371,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_15,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15)))
| ~ segmentP(cons(sk5,skaf43(sk5,iPr_def_15)),X0) ),
inference(superposition,[status(thm)],[c_151318,c_419]) ).
tcf(c_151372,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk5,X0)
| ~ leq(X0,sk5)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(skaf43(sk5,iPr_def_15))
| ~ ssList(app(iPr_def_15,cons(X0,X1)))
| ~ cyclefreeP(app(app(skaf42(iPr_def_15,sk5),cons(sk5,skaf43(sk5,iPr_def_15))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_151318,c_432]) ).
tcf(c_151373,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| leq(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(skaf43(sk5,iPr_def_15))
| ~ ssList(app(iPr_def_15,cons(X0,X1)))
| ~ totalorderP(app(app(skaf42(iPr_def_15,sk5),cons(sk5,skaf43(sk5,iPr_def_15))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_151318,c_431]) ).
tcf(c_151374,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| lt(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(skaf43(sk5,iPr_def_15))
| ~ ssList(app(iPr_def_15,cons(X0,X1)))
| ~ strictorderP(app(app(skaf42(iPr_def_15,sk5),cons(sk5,skaf43(sk5,iPr_def_15))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_151318,c_430]) ).
tcf(c_151375,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(skaf43(sk5,iPr_def_15))
| ~ ssList(app(iPr_def_15,cons(X0,X1)))
| ~ totalorderedP(app(app(skaf42(iPr_def_15,sk5),cons(sk5,skaf43(sk5,iPr_def_15))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_151318,c_429]) ).
tcf(c_151376,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(skaf43(sk5,iPr_def_15))
| ~ ssList(app(iPr_def_15,cons(X0,X1)))
| ~ strictorderedP(app(app(skaf42(iPr_def_15,sk5),cons(sk5,skaf43(sk5,iPr_def_15))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_151318,c_428]) ).
tcf(c_151377,plain,
! [X0: $i] :
( ~ ssItem(sk5)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(skaf43(sk5,iPr_def_15))
| ~ ssList(app(iPr_def_15,cons(sk5,X0)))
| ~ duplicatefreeP(app(app(skaf42(iPr_def_15,sk5),cons(sk5,skaf43(sk5,iPr_def_15))),cons(sk5,X0))) ),
inference(superposition,[status(thm)],[c_151318,c_426]) ).
tcf(c_151379,plain,
( frontsegP(iPr_def_15,skaf42(iPr_def_15,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151364,c_300]) ).
tcf(c_151382,plain,
( rearsegP(iPr_def_15,cons(sk5,skaf43(sk5,iPr_def_15)))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151365,c_300]) ).
tcf(c_151385,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf42(iPr_def_15,sk5),X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151370,c_300]) ).
tcf(c_151390,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ memberP(skaf42(iPr_def_15,sk5),X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151369,c_300]) ).
tcf(c_151395,plain,
! [X0: $i] :
( rearsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15)))
| ~ rearsegP(cons(sk5,skaf43(sk5,iPr_def_15)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151367,c_300]) ).
tcf(c_151400,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15)))
| ~ memberP(cons(sk5,skaf43(sk5,iPr_def_15)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151366,c_300]) ).
tcf(c_151405,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_15,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15)))
| ~ segmentP(cons(sk5,skaf43(sk5,iPr_def_15)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151371,c_300]) ).
tcf(c_151411,plain,
! [X0: $i] :
( memberP(skaf42(iPr_def_15,sk5),X0)
| memberP(cons(sk5,skaf43(sk5,iPr_def_15)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_15,X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151361,c_300]) ).
tcf(c_151417,plain,
! [X0: $i] :
( ( cons(sk5,skaf43(sk5,iPr_def_15)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15)))
| ( app(skaf42(iPr_def_15,sk5),X0) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151368,c_300]) ).
tcf(c_151422,plain,
! [X0: $i] :
( ( skaf42(iPr_def_15,sk5) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15)))
| ( app(X0,cons(sk5,skaf43(sk5,iPr_def_15))) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151359,c_300]) ).
tcf(c_151427,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),cons(sk5,skaf43(sk5,iPr_def_15)))
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(app(iPr_def_15,X0))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15))) ),
inference(light_normalisation,[status(thm)],[c_151358,c_151318]) ).
tcf(c_151428,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),cons(sk5,skaf43(sk5,iPr_def_15)))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_15))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151427,c_300]) ).
tcf(c_151433,plain,
! [X0: $i] :
( ~ ssItem(sk5)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(skaf43(sk5,iPr_def_15))
| ~ duplicatefreeP(app(iPr_def_15,cons(sk5,X0)))
| ~ ssList(app(iPr_def_15,cons(sk5,X0))) ),
inference(light_normalisation,[status(thm)],[c_151377,c_151318]) ).
tcf(c_151434,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(iPr_def_15,cons(sk5,X0)))
| ~ ssList(app(iPr_def_15,cons(sk5,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151433,c_6485,c_300,c_299]) ).
tcf(c_151438,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(skaf43(sk5,iPr_def_15))
| ~ strictorderedP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_151376,c_151318]) ).
tcf(c_151439,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151438,c_6485,c_300,c_299]) ).
tcf(c_151445,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(skaf43(sk5,iPr_def_15))
| ~ totalorderedP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_151375,c_151318]) ).
tcf(c_151446,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151445,c_6485,c_300,c_299]) ).
tcf(c_151452,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| lt(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(skaf43(sk5,iPr_def_15))
| ~ strictorderP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_151374,c_151318]) ).
tcf(c_151453,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| lt(X0,sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151452,c_6485,c_300,c_299]) ).
tcf(c_151460,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| leq(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(skaf43(sk5,iPr_def_15))
| ~ totalorderP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_151373,c_151318]) ).
tcf(c_151461,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| leq(X0,sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151460,c_6485,c_300,c_299]) ).
tcf(c_151468,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk5,X0)
| ~ leq(X0,sk5)
| ~ ssList(skaf42(iPr_def_15,sk5))
| ~ ssList(skaf43(sk5,iPr_def_15))
| ~ cyclefreeP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_151372,c_151318]) ).
tcf(c_151469,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk5,X0)
| ~ leq(X0,sk5)
| ~ cyclefreeP(app(iPr_def_15,cons(X0,X1)))
| ~ ssList(app(iPr_def_15,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151468,c_6485,c_300,c_299]) ).
tcf(c_151533,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),cons(sk5,skaf43(sk5,iPr_def_16)))
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16)))
| ~ ssList(app(app(skaf42(iPr_def_16,sk5),cons(sk5,skaf43(sk5,iPr_def_16))),X0)) ),
inference(superposition,[status(thm)],[c_151321,c_420]) ).
tcf(c_151534,plain,
! [X0: $i] :
( ( skaf42(iPr_def_16,sk5) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16)))
| ( app(X0,cons(sk5,skaf43(sk5,iPr_def_16))) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_151321,c_398]) ).
tcf(c_151536,plain,
! [X0: $i] :
( memberP(skaf42(iPr_def_16,sk5),X0)
| memberP(cons(sk5,skaf43(sk5,iPr_def_16)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16))) ),
inference(superposition,[status(thm)],[c_151321,c_405]) ).
tcf(c_151539,plain,
( frontsegP(iPr_def_16,skaf42(iPr_def_16,sk5))
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16))) ),
inference(superposition,[status(thm)],[c_151321,c_808]) ).
tcf(c_151540,plain,
( rearsegP(iPr_def_16,cons(sk5,skaf43(sk5,iPr_def_16)))
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16))) ),
inference(superposition,[status(thm)],[c_151321,c_807]) ).
tcf(c_151541,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16)))
| ~ memberP(cons(sk5,skaf43(sk5,iPr_def_16)),X0) ),
inference(superposition,[status(thm)],[c_151321,c_388]) ).
tcf(c_151542,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16)))
| ~ rearsegP(cons(sk5,skaf43(sk5,iPr_def_16)),X0) ),
inference(superposition,[status(thm)],[c_151321,c_383]) ).
tcf(c_151543,plain,
! [X0: $i] :
( ( cons(sk5,skaf43(sk5,iPr_def_16)) = X0 )
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16)))
| ( app(skaf42(iPr_def_16,sk5),X0) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_151321,c_397]) ).
tcf(c_151544,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ memberP(skaf42(iPr_def_16,sk5),X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16))) ),
inference(superposition,[status(thm)],[c_151321,c_387]) ).
tcf(c_151545,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ frontsegP(skaf42(iPr_def_16,sk5),X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16))) ),
inference(superposition,[status(thm)],[c_151321,c_384]) ).
tcf(c_151546,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16)))
| ~ segmentP(cons(sk5,skaf43(sk5,iPr_def_16)),X0) ),
inference(superposition,[status(thm)],[c_151321,c_419]) ).
tcf(c_151547,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk5,X0)
| ~ leq(X0,sk5)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(skaf43(sk5,iPr_def_16))
| ~ ssList(app(iPr_def_16,cons(X0,X1)))
| ~ cyclefreeP(app(app(skaf42(iPr_def_16,sk5),cons(sk5,skaf43(sk5,iPr_def_16))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_151321,c_432]) ).
tcf(c_151548,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| leq(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(skaf43(sk5,iPr_def_16))
| ~ ssList(app(iPr_def_16,cons(X0,X1)))
| ~ totalorderP(app(app(skaf42(iPr_def_16,sk5),cons(sk5,skaf43(sk5,iPr_def_16))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_151321,c_431]) ).
tcf(c_151549,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| lt(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(skaf43(sk5,iPr_def_16))
| ~ ssList(app(iPr_def_16,cons(X0,X1)))
| ~ strictorderP(app(app(skaf42(iPr_def_16,sk5),cons(sk5,skaf43(sk5,iPr_def_16))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_151321,c_430]) ).
tcf(c_151550,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(skaf43(sk5,iPr_def_16))
| ~ ssList(app(iPr_def_16,cons(X0,X1)))
| ~ totalorderedP(app(app(skaf42(iPr_def_16,sk5),cons(sk5,skaf43(sk5,iPr_def_16))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_151321,c_429]) ).
tcf(c_151551,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(skaf43(sk5,iPr_def_16))
| ~ ssList(app(iPr_def_16,cons(X0,X1)))
| ~ strictorderedP(app(app(skaf42(iPr_def_16,sk5),cons(sk5,skaf43(sk5,iPr_def_16))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_151321,c_428]) ).
tcf(c_151552,plain,
! [X0: $i] :
( ~ ssItem(sk5)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(skaf43(sk5,iPr_def_16))
| ~ ssList(app(iPr_def_16,cons(sk5,X0)))
| ~ duplicatefreeP(app(app(skaf42(iPr_def_16,sk5),cons(sk5,skaf43(sk5,iPr_def_16))),cons(sk5,X0))) ),
inference(superposition,[status(thm)],[c_151321,c_426]) ).
tcf(c_151554,plain,
( frontsegP(iPr_def_16,skaf42(iPr_def_16,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151539,c_300]) ).
tcf(c_151557,plain,
( rearsegP(iPr_def_16,cons(sk5,skaf43(sk5,iPr_def_16)))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151540,c_300]) ).
tcf(c_151560,plain,
! [X0: $i] :
( frontsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ frontsegP(skaf42(iPr_def_16,sk5),X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151545,c_300]) ).
tcf(c_151565,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ memberP(skaf42(iPr_def_16,sk5),X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151544,c_300]) ).
tcf(c_151570,plain,
! [X0: $i] :
( rearsegP(iPr_def_16,X0)
| ~ ssList(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16)))
| ~ rearsegP(cons(sk5,skaf43(sk5,iPr_def_16)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151542,c_300]) ).
tcf(c_151575,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16)))
| ~ memberP(cons(sk5,skaf43(sk5,iPr_def_16)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151541,c_300]) ).
tcf(c_151580,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_16,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16)))
| ~ segmentP(cons(sk5,skaf43(sk5,iPr_def_16)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151546,c_300]) ).
tcf(c_151586,plain,
! [X0: $i] :
( memberP(skaf42(iPr_def_16,sk5),X0)
| memberP(cons(sk5,skaf43(sk5,iPr_def_16)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151536,c_300]) ).
tcf(c_151592,plain,
! [X0: $i] :
( ( cons(sk5,skaf43(sk5,iPr_def_16)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16)))
| ( app(skaf42(iPr_def_16,sk5),X0) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151543,c_300]) ).
tcf(c_151597,plain,
! [X0: $i] :
( ( skaf42(iPr_def_16,sk5) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16)))
| ( app(X0,cons(sk5,skaf43(sk5,iPr_def_16))) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151534,c_300]) ).
tcf(c_151602,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),cons(sk5,skaf43(sk5,iPr_def_16)))
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(app(iPr_def_16,X0))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16))) ),
inference(light_normalisation,[status(thm)],[c_151533,c_151321]) ).
tcf(c_151603,plain,
! [X0: $i] :
( segmentP(app(iPr_def_16,X0),cons(sk5,skaf43(sk5,iPr_def_16)))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_16,X0))
| ~ ssList(cons(sk5,skaf43(sk5,iPr_def_16))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151602,c_300]) ).
tcf(c_151608,plain,
! [X0: $i] :
( ~ ssItem(sk5)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(skaf43(sk5,iPr_def_16))
| ~ duplicatefreeP(app(iPr_def_16,cons(sk5,X0)))
| ~ ssList(app(iPr_def_16,cons(sk5,X0))) ),
inference(light_normalisation,[status(thm)],[c_151552,c_151321]) ).
tcf(c_151609,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(iPr_def_16,cons(sk5,X0)))
| ~ ssList(app(iPr_def_16,cons(sk5,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151608,c_6485,c_300,c_299]) ).
tcf(c_151613,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(skaf43(sk5,iPr_def_16))
| ~ strictorderedP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_151551,c_151321]) ).
tcf(c_151614,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151613,c_6485,c_300,c_299]) ).
tcf(c_151620,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(skaf43(sk5,iPr_def_16))
| ~ totalorderedP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_151550,c_151321]) ).
tcf(c_151621,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151620,c_6485,c_300,c_299]) ).
tcf(c_151627,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| lt(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(skaf43(sk5,iPr_def_16))
| ~ strictorderP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_151549,c_151321]) ).
tcf(c_151628,plain,
! [X0: $i,X1: $i] :
( lt(sk5,X0)
| lt(X0,sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151627,c_6485,c_300,c_299]) ).
tcf(c_151635,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| leq(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(skaf43(sk5,iPr_def_16))
| ~ totalorderP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_151548,c_151321]) ).
tcf(c_151636,plain,
! [X0: $i,X1: $i] :
( leq(sk5,X0)
| leq(X0,sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151635,c_6485,c_300,c_299]) ).
tcf(c_151643,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk5,X0)
| ~ leq(X0,sk5)
| ~ ssList(skaf42(iPr_def_16,sk5))
| ~ ssList(skaf43(sk5,iPr_def_16))
| ~ cyclefreeP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_151547,c_151321]) ).
tcf(c_151644,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sk5,X0)
| ~ leq(X0,sk5)
| ~ cyclefreeP(app(iPr_def_16,cons(X0,X1)))
| ~ ssList(app(iPr_def_16,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151643,c_6485,c_300,c_299]) ).
tcf(c_151735,plain,
! [X0: $i] :
( ( X0 = sk5 )
| ( app(skaf42(app(sk7,sk4),X0),cons(X0,skaf43(X0,app(sk7,sk4)))) = app(sk7,sk4) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_145334,c_416]) ).
tcf(c_151737,plain,
! [X0: $i] :
( ( X0 = sk5 )
| ( app(skaf42(app(sk7,sk4),X0),cons(X0,skaf43(X0,app(sk7,sk4)))) = app(sk7,sk4) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151735,c_89458]) ).
tcf(c_151762,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_384,c_145839]) ).
tcf(c_151763,plain,
! [X0: $i] :
( frontsegP(app(app(sk8,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(app(sk8,sk4),X0)) ),
inference(superposition,[status(thm)],[c_808,c_145839]) ).
tcf(c_151764,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_51206,c_145839]) ).
tcf(c_151765,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_51316,c_145839]) ).
tcf(c_151766,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_51801,c_145839]) ).
tcf(c_151767,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk4,app(sk8,sk4))
| ~ ssList(app(sk4,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_109050,c_145839]) ).
tcf(c_151768,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk4,sk4))
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_79173,c_145839]) ).
tcf(c_151769,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk4,app(sk8,sk4))
| ~ ssList(app(sk4,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_106522,c_145839]) ).
tcf(c_151770,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ frontsegP(sk4,app(sk8,sk4))
| ~ ssList(app(sk4,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_94043,c_145839]) ).
tcf(c_151782,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(iPr_def_12,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_66408,c_145839]) ).
tcf(c_151783,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk5,sk7))
| ~ frontsegP(iPr_def_12,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_127325,c_145839]) ).
tcf(c_151784,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk4,sk4)))
| ~ frontsegP(cons(sk6,sk4),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_68249,c_145839]) ).
tcf(c_151785,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk7,sk4)))
| ~ frontsegP(cons(sk6,sk7),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_68556,c_145839]) ).
tcf(c_151786,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk8,sk4)))
| ~ frontsegP(cons(sk6,sk8),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_68986,c_145839]) ).
tcf(c_151787,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk5,app(sk4,sk7)))
| ~ frontsegP(cons(sk5,sk4),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_124798,c_145839]) ).
tcf(c_151788,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk4,sk7)))
| ~ frontsegP(cons(sk6,sk4),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_133007,c_145839]) ).
tcf(c_151789,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk7,sk7)))
| ~ frontsegP(cons(sk6,sk7),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_134188,c_145839]) ).
tcf(c_151790,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(cons(sk6,app(sk8,sk7)))
| ~ frontsegP(cons(sk6,sk8),app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_134723,c_145839]) ).
tcf(c_151791,plain,
( frontsegP(cons(sk5,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(iPr_def_12,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151783,c_112727,c_127316]) ).
tcf(c_151795,plain,
( frontsegP(cons(sk5,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(iPr_def_12,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151782,c_112727,c_66402]) ).
tcf(c_151799,plain,
( frontsegP(app(sk4,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151768,c_112727,c_79152]) ).
tcf(c_151803,plain,
( frontsegP(cons(sk6,sk8),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151766,c_112727,c_28938]) ).
tcf(c_151807,plain,
( frontsegP(cons(sk6,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151765,c_112727,c_28940]) ).
tcf(c_151811,plain,
( frontsegP(cons(sk6,sk4),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(iPr_def_14,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151764,c_112727,c_28942]) ).
tcf(c_151815,plain,
! [X0: $i] :
( frontsegP(app(app(sk8,sk4),X0),sk7)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(app(sk8,sk4),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151763,c_112727]) ).
tcf(c_151820,plain,
( frontsegP(app(sk4,app(sk4,sk8)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151770,c_112727,c_79220]) ).
tcf(c_151824,plain,
( frontsegP(app(sk4,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151769,c_112727,c_79223]) ).
tcf(c_151828,plain,
( frontsegP(app(sk4,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151767,c_112727,c_79226]) ).
tcf(c_151832,plain,
( frontsegP(cons(sk6,app(sk8,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(cons(sk6,sk8),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151790,c_112727,c_134696]) ).
tcf(c_151836,plain,
( frontsegP(cons(sk6,app(sk7,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(cons(sk6,sk7),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151789,c_112727,c_134161]) ).
tcf(c_151840,plain,
( frontsegP(cons(sk6,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(cons(sk6,sk4),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151788,c_112727,c_132980]) ).
tcf(c_151844,plain,
( frontsegP(cons(sk5,app(sk4,sk7)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(cons(sk5,sk4),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151787,c_112727,c_124771]) ).
tcf(c_151848,plain,
( frontsegP(cons(sk6,app(sk8,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(cons(sk6,sk8),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151786,c_112727,c_68959]) ).
tcf(c_151852,plain,
( frontsegP(cons(sk6,app(sk7,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(cons(sk6,sk7),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151785,c_112727,c_68529]) ).
tcf(c_151856,plain,
( frontsegP(cons(sk6,app(sk4,sk4)),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(cons(sk6,sk4),app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151784,c_112727,c_68222]) ).
tcf(c_151860,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(X0,X1))
| ~ frontsegP(X0,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151762,c_112727]) ).
tcf(c_151965,plain,
( ( app(sk4,skaf45(app(sk4,sk7),sk4)) = app(sk4,sk7) )
| ~ ssList(sk7)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_332,c_125500]) ).
tcf(c_151966,plain,
app(sk4,skaf45(app(sk4,sk7),sk4)) = app(sk4,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_151965,c_6483,c_6486]) ).
tcf(c_151971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf48(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf48(X1,X2)))
| ~ ssList(skaf82(skaf48(X1,X2)))
| ~ leq(X3,skaf83(skaf48(X1,X2)))
| ~ leq(skaf83(skaf48(X1,X2)),X3)
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf48(X1,X2)),skaf82(skaf48(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_11007,c_432]) ).
tcf(c_151972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X3,skaf83(skaf48(X1,X2)))
| leq(skaf83(skaf48(X1,X2)),X3)
| ( skaf48(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf48(X1,X2)))
| ~ ssList(skaf82(skaf48(X1,X2)))
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(X3,X4)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf48(X1,X2)),skaf82(skaf48(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_11007,c_431]) ).
tcf(c_151973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X3,skaf83(skaf48(X1,X2)))
| lt(skaf83(skaf48(X1,X2)),X3)
| ( skaf48(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf48(X1,X2)))
| ~ ssList(skaf82(skaf48(X1,X2)))
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(X3,X4)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf48(X1,X2)),skaf82(skaf48(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_11007,c_430]) ).
tcf(c_151974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(skaf83(skaf48(X1,X2)),X3)
| ( skaf48(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf48(X1,X2)))
| ~ ssList(skaf82(skaf48(X1,X2)))
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf48(X1,X2)),skaf82(skaf48(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_11007,c_429]) ).
tcf(c_151975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(skaf83(skaf48(X1,X2)),X3)
| ( skaf48(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf48(X1,X2)))
| ~ ssList(skaf82(skaf48(X1,X2)))
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf48(X1,X2)),skaf82(skaf48(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_11007,c_428]) ).
tcf(c_151976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf48(X1,X2)))
| ~ ssList(skaf82(skaf48(X1,X2)))
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(skaf83(skaf48(X1,X2)),X3)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf48(X1,X2)),skaf82(skaf48(X1,X2)))),cons(skaf83(skaf48(X1,X2)),X3))) ),
inference(superposition,[status(thm)],[c_11007,c_426]) ).
tcf(c_151977,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,skaf48(X1,X2)),skaf83(skaf48(X1,X2)))
| ( skaf48(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf48(X1,X2)))
| ~ ssList(skaf82(skaf48(X1,X2)))
| ~ ssList(app(X0,cons(skaf83(skaf48(X1,X2)),skaf82(skaf48(X1,X2))))) ),
inference(superposition,[status(thm)],[c_11007,c_422]) ).
tcf(c_151978,plain,
! [X0: $i,X1: $i] :
( memberP(skaf48(X0,X1),skaf83(skaf48(X0,X1)))
| ( skaf48(X0,X1) = nil )
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_11007,c_385]) ).
tcf(c_151980,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf82(skaf48(X0,X1)) = nil )
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1)))
| ( skaf48(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11007,c_21847]) ).
tcf(c_151981,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf82(skaf48(X0,X1)) = nil )
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1)))
| ( skaf48(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11007,c_21842]) ).
tcf(c_151982,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf83(skaf48(X0,X1)) = sk5 )
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1)))
| ( skaf48(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11007,c_21750]) ).
tcf(c_151983,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf83(skaf48(X0,X1)) = sk6 )
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1)))
| ( skaf48(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11007,c_21745]) ).
tcf(c_151984,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf83(skaf48(X0,X1)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf48(X0,X1))
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_11007,c_21595]) ).
tcf(c_151985,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf83(skaf48(X0,X1)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf48(X0,X1))
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_11007,c_21590]) ).
tcf(c_151986,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf83(skaf48(X0,X1)) = sk5 )
| ~ frontsegP(skaf48(X0,X1),iPr_def_12)
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_11007,c_21585]) ).
tcf(c_151987,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf83(skaf48(X0,X1)) = sk6 )
| ~ frontsegP(skaf48(X0,X1),iPr_def_14)
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_11007,c_21580]) ).
tcf(c_151988,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,skaf82(skaf48(X0,X1)))
| ( skaf48(X0,X1) = nil )
| ~ frontsegP(iPr_def_12,skaf48(X0,X1))
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_11007,c_21202]) ).
tcf(c_151989,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,skaf82(skaf48(X0,X1)))
| ( skaf48(X0,X1) = nil )
| ~ frontsegP(iPr_def_14,skaf48(X0,X1))
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_11007,c_21197]) ).
tcf(c_151992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf83(skaf48(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1)))
| ~ frontsegP(skaf48(X0,X1),cons(X2,X3)) ),
inference(superposition,[status(thm)],[c_11007,c_423]) ).
tcf(c_151993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(skaf82(skaf48(X0,X1)),X3)
| ( skaf48(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1)))
| ~ frontsegP(skaf48(X0,X1),cons(X2,X3)) ),
inference(superposition,[status(thm)],[c_11007,c_421]) ).
tcf(c_151994,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf82(skaf48(X0,X1)),X2)
| ( skaf48(X0,X1) = nil )
| ( skaf83(skaf48(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1)))
| ~ memberP(skaf48(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_11007,c_408]) ).
tcf(c_151995,plain,
! [X0: $i,X1: $i] :
( leq(skaf83(skaf48(X0,X1)),hd(skaf82(skaf48(X0,X1))))
| ( skaf48(X0,X1) = nil )
| ( skaf82(skaf48(X0,X1)) = nil )
| ~ totalorderedP(skaf48(X0,X1))
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_11007,c_382]) ).
tcf(c_151996,plain,
! [X0: $i,X1: $i] :
( lt(skaf83(skaf48(X0,X1)),hd(skaf82(skaf48(X0,X1))))
| ( skaf48(X0,X1) = nil )
| ( skaf82(skaf48(X0,X1)) = nil )
| ~ strictorderedP(skaf48(X0,X1))
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_11007,c_381]) ).
tcf(c_151997,plain,
! [X0: $i,X1: $i] :
( totalorderedP(skaf82(skaf48(X0,X1)))
| ( skaf48(X0,X1) = nil )
| ( skaf82(skaf48(X0,X1)) = nil )
| ~ totalorderedP(skaf48(X0,X1))
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_11007,c_372]) ).
tcf(c_151998,plain,
! [X0: $i,X1: $i] :
( strictorderedP(skaf82(skaf48(X0,X1)))
| ( skaf48(X0,X1) = nil )
| ( skaf82(skaf48(X0,X1)) = nil )
| ~ strictorderedP(skaf48(X0,X1))
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1))) ),
inference(superposition,[status(thm)],[c_11007,c_371]) ).
tcf(c_151999,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1)))
| ( skaf82(skaf48(X0,X1)) != skaf48(X0,X1) ) ),
inference(superposition,[status(thm)],[c_11007,c_346]) ).
tcf(c_152001,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(cons(skaf83(skaf48(X1,X2)),X0),skaf48(X1,X2))
| ( skaf48(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf48(X1,X2)))
| ~ ssList(skaf82(skaf48(X1,X2)))
| ~ frontsegP(X0,skaf82(skaf48(X1,X2))) ),
inference(superposition,[status(thm)],[c_11007,c_425]) ).
tcf(c_152002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X2,X3) = nil )
| ( skaf83(skaf48(X2,X3)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf48(X2,X3)))
| ~ ssList(skaf82(skaf48(X2,X3)))
| ~ ssList(app(X0,cons(X1,skaf48(X2,X3))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf48(X2,X3)),skaf82(skaf48(X2,X3)))))) ),
inference(superposition,[status(thm)],[c_11007,c_427]) ).
tcf(c_152003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X2,X3) = nil )
| ( skaf82(skaf48(X2,X3)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf48(X2,X3)))
| ~ ssList(skaf82(skaf48(X2,X3)))
| ( cons(X0,X1) != skaf48(X2,X3) ) ),
inference(superposition,[status(thm)],[c_11007,c_418]) ).
tcf(c_152004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X2,X3) = nil )
| ( skaf83(skaf48(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf48(X2,X3)))
| ~ ssList(skaf82(skaf48(X2,X3)))
| ( cons(X0,X1) != skaf48(X2,X3) ) ),
inference(superposition,[status(thm)],[c_11007,c_417]) ).
tcf(c_152005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X2,X3) = nil )
| ( skaf83(skaf48(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf48(X2,X3)))
| ~ ssList(skaf82(skaf48(X2,X3)))
| ~ frontsegP(cons(X0,X1),skaf48(X2,X3)) ),
inference(superposition,[status(thm)],[c_11007,c_423]) ).
tcf(c_152006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X1,skaf82(skaf48(X2,X3)))
| ( skaf48(X2,X3) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf48(X2,X3)))
| ~ ssList(skaf82(skaf48(X2,X3)))
| ~ frontsegP(cons(X0,X1),skaf48(X2,X3)) ),
inference(superposition,[status(thm)],[c_11007,c_421]) ).
tcf(c_152007,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf48(X0,X1),cons(skaf83(skaf48(X0,X1)),X2))
| ( skaf48(X0,X1) = nil )
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1)))
| ~ frontsegP(skaf82(skaf48(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_11007,c_425]) ).
tcf(c_152008,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf48(X0,X1),X2)
| ( skaf48(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssItem(skaf83(skaf48(X0,X1)))
| ~ ssList(skaf82(skaf48(X0,X1)))
| ~ memberP(skaf82(skaf48(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_11007,c_386]) ).
tcf(c_152009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf48(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf48(X3,X4)))
| ~ ssList(skaf82(skaf48(X3,X4)))
| ~ leq(X1,skaf83(skaf48(X3,X4)))
| ~ leq(skaf83(skaf48(X3,X4)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf48(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf48(X3,X4)),skaf82(skaf48(X3,X4))))) ),
inference(superposition,[status(thm)],[c_11007,c_432]) ).
tcf(c_152010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,skaf83(skaf48(X3,X4)))
| leq(skaf83(skaf48(X3,X4)),X1)
| ( skaf48(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf48(X3,X4)))
| ~ ssList(skaf82(skaf48(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf48(X3,X4)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf48(X3,X4)),skaf82(skaf48(X3,X4))))) ),
inference(superposition,[status(thm)],[c_11007,c_431]) ).
tcf(c_152011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,skaf83(skaf48(X3,X4)))
| lt(skaf83(skaf48(X3,X4)),X1)
| ( skaf48(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf48(X3,X4)))
| ~ ssList(skaf82(skaf48(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf48(X3,X4)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf48(X3,X4)),skaf82(skaf48(X3,X4))))) ),
inference(superposition,[status(thm)],[c_11007,c_430]) ).
tcf(c_152012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,skaf83(skaf48(X3,X4)))
| ( skaf48(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf48(X3,X4)))
| ~ ssList(skaf82(skaf48(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf48(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf48(X3,X4)),skaf82(skaf48(X3,X4))))) ),
inference(superposition,[status(thm)],[c_11007,c_429]) ).
tcf(c_152013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,skaf83(skaf48(X3,X4)))
| ( skaf48(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf48(X3,X4)))
| ~ ssList(skaf82(skaf48(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf48(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf48(X3,X4)),skaf82(skaf48(X3,X4))))) ),
inference(superposition,[status(thm)],[c_11007,c_428]) ).
tcf(c_152014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf48(X1,X2)))
| ~ ssList(skaf82(skaf48(X1,X2)))
| ~ ssList(app(app(X0,cons(skaf83(skaf48(X1,X2)),X3)),skaf48(X1,X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf48(X1,X2)),X3)),cons(skaf83(skaf48(X1,X2)),skaf82(skaf48(X1,X2))))) ),
inference(superposition,[status(thm)],[c_11007,c_426]) ).
tcf(c_152015,plain,
! [X0: $i,X1: $i] :
( memberP(skaf48(X0,X1),skaf83(skaf48(X0,X1)))
| ( skaf48(X0,X1) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151978,c_259,c_260]) ).
tcf(c_152018,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf82(skaf48(X0,X1)) != skaf48(X0,X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151999,c_259,c_260]) ).
tcf(c_152021,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,skaf82(skaf48(X0,X1)))
| ( skaf48(X0,X1) = nil )
| ~ frontsegP(iPr_def_14,skaf48(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151989,c_259,c_260]) ).
tcf(c_152025,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,skaf82(skaf48(X0,X1)))
| ( skaf48(X0,X1) = nil )
| ~ frontsegP(iPr_def_12,skaf48(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151988,c_259,c_260]) ).
tcf(c_152029,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf83(skaf48(X0,X1)) = sk6 )
| ~ frontsegP(skaf48(X0,X1),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151987,c_259,c_260]) ).
tcf(c_152033,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf83(skaf48(X0,X1)) = sk5 )
| ~ frontsegP(skaf48(X0,X1),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151986,c_259,c_260]) ).
tcf(c_152037,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf83(skaf48(X0,X1)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf48(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151985,c_259,c_260]) ).
tcf(c_152041,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf83(skaf48(X0,X1)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf48(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151984,c_259,c_260]) ).
tcf(c_152045,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf83(skaf48(X0,X1)) = sk6 )
| ( skaf48(X0,X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151983,c_259,c_260]) ).
tcf(c_152049,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf83(skaf48(X0,X1)) = sk5 )
| ( skaf48(X0,X1) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151982,c_259,c_260]) ).
tcf(c_152053,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf82(skaf48(X0,X1)) = nil )
| ( skaf48(X0,X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151981,c_259,c_260]) ).
tcf(c_152057,plain,
! [X0: $i,X1: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf82(skaf48(X0,X1)) = nil )
| ( skaf48(X0,X1) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151980,c_259,c_260]) ).
tcf(c_152061,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf48(X0,X1),X2)
| ( skaf48(X0,X1) = nil )
| ~ ssItem(X2)
| ~ memberP(skaf82(skaf48(X0,X1)),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152008,c_259,c_260]) ).
tcf(c_152066,plain,
! [X0: $i,X1: $i] :
( strictorderedP(skaf82(skaf48(X0,X1)))
| ( skaf48(X0,X1) = nil )
| ( skaf82(skaf48(X0,X1)) = nil )
| ~ strictorderedP(skaf48(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151998,c_259,c_260]) ).
tcf(c_152071,plain,
! [X0: $i,X1: $i] :
( totalorderedP(skaf82(skaf48(X0,X1)))
| ( skaf48(X0,X1) = nil )
| ( skaf82(skaf48(X0,X1)) = nil )
| ~ totalorderedP(skaf48(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151997,c_259,c_260]) ).
tcf(c_152076,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf48(X0,X1),cons(skaf83(skaf48(X0,X1)),X2))
| ( skaf48(X0,X1) = nil )
| ~ ssList(X2)
| ~ frontsegP(skaf82(skaf48(X0,X1)),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152007,c_259,c_260]) ).
tcf(c_152081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X1,skaf82(skaf48(X2,X3)))
| ( skaf48(X2,X3) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf48(X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152006,c_259,c_260]) ).
tcf(c_152087,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(cons(skaf83(skaf48(X1,X2)),X0),skaf48(X1,X2))
| ( skaf48(X1,X2) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf48(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152001,c_259,c_260]) ).
tcf(c_152092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(skaf82(skaf48(X0,X1)),X3)
| ( skaf48(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ frontsegP(skaf48(X0,X1),cons(X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151993,c_259,c_260]) ).
tcf(c_152098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X2,X3) = nil )
| ( skaf83(skaf48(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf48(X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152005,c_259,c_260]) ).
tcf(c_152104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X0,X1) = nil )
| ( skaf83(skaf48(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ frontsegP(skaf48(X0,X1),cons(X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151992,c_259,c_260]) ).
tcf(c_152110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X2,X3) = nil )
| ( skaf83(skaf48(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf48(X2,X3) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152004,c_259,c_260]) ).
tcf(c_152116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X2,X3) = nil )
| ( skaf82(skaf48(X2,X3)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf48(X2,X3) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152003,c_259,c_260]) ).
tcf(c_152122,plain,
! [X0: $i,X1: $i] :
( lt(skaf83(skaf48(X0,X1)),hd(skaf82(skaf48(X0,X1))))
| ( skaf48(X0,X1) = nil )
| ( skaf82(skaf48(X0,X1)) = nil )
| ~ strictorderedP(skaf48(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151996,c_259,c_260]) ).
tcf(c_152127,plain,
! [X0: $i,X1: $i] :
( leq(skaf83(skaf48(X0,X1)),hd(skaf82(skaf48(X0,X1))))
| ( skaf48(X0,X1) = nil )
| ( skaf82(skaf48(X0,X1)) = nil )
| ~ totalorderedP(skaf48(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151995,c_259,c_260]) ).
tcf(c_152132,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf82(skaf48(X0,X1)),X2)
| ( skaf48(X0,X1) = nil )
| ( skaf83(skaf48(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ memberP(skaf48(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151994,c_259,c_260]) ).
tcf(c_152138,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,skaf48(X1,X2)),skaf83(skaf48(X1,X2)))
| ( skaf48(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf48(X1,X2)),skaf82(skaf48(X1,X2))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151977,c_259,c_260]) ).
tcf(c_152143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X2,X3) = nil )
| ( skaf83(skaf48(X2,X3)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf48(X2,X3))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf48(X2,X3)),skaf82(skaf48(X2,X3)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152002,c_259,c_260]) ).
tcf(c_152150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf48(X1,X2)),X3)),skaf48(X1,X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf48(X1,X2)),X3)),cons(skaf83(skaf48(X1,X2)),skaf82(skaf48(X1,X2))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152014,c_259,c_260]) ).
tcf(c_152156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf48(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(skaf83(skaf48(X1,X2)),X3)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf48(X1,X2)),skaf82(skaf48(X1,X2)))),cons(skaf83(skaf48(X1,X2)),X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151976,c_259,c_260]) ).
tcf(c_152162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,skaf83(skaf48(X3,X4)))
| ( skaf48(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf48(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf48(X3,X4)),skaf82(skaf48(X3,X4))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152013,c_259,c_260]) ).
tcf(c_152170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,skaf83(skaf48(X3,X4)))
| ( skaf48(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf48(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf48(X3,X4)),skaf82(skaf48(X3,X4))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152012,c_259,c_260]) ).
tcf(c_152178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(skaf83(skaf48(X1,X2)),X3)
| ( skaf48(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf48(X1,X2)),skaf82(skaf48(X1,X2)))),cons(X3,X4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151975,c_259,c_260]) ).
tcf(c_152186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(skaf83(skaf48(X1,X2)),X3)
| ( skaf48(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf48(X1,X2)),skaf82(skaf48(X1,X2)))),cons(X3,X4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151974,c_259,c_260]) ).
tcf(c_152194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,skaf83(skaf48(X3,X4)))
| lt(skaf83(skaf48(X3,X4)),X1)
| ( skaf48(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf48(X3,X4)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf48(X3,X4)),skaf82(skaf48(X3,X4))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152011,c_259,c_260]) ).
tcf(c_152203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,skaf83(skaf48(X3,X4)))
| leq(skaf83(skaf48(X3,X4)),X1)
| ( skaf48(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf48(X3,X4)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf48(X3,X4)),skaf82(skaf48(X3,X4))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152010,c_259,c_260]) ).
tcf(c_152212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X3,skaf83(skaf48(X1,X2)))
| lt(skaf83(skaf48(X1,X2)),X3)
| ( skaf48(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(X3,X4)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf48(X1,X2)),skaf82(skaf48(X1,X2)))),cons(X3,X4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151973,c_259,c_260]) ).
tcf(c_152221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X3,skaf83(skaf48(X1,X2)))
| leq(skaf83(skaf48(X1,X2)),X3)
| ( skaf48(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(X3,X4)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf48(X1,X2)),skaf82(skaf48(X1,X2)))),cons(X3,X4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151972,c_259,c_260]) ).
tcf(c_152230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf48(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf48(X3,X4)))
| ~ leq(skaf83(skaf48(X3,X4)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf48(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf48(X3,X4)),skaf82(skaf48(X3,X4))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152009,c_259,c_260]) ).
tcf(c_152239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf48(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ leq(X3,skaf83(skaf48(X1,X2)))
| ~ leq(skaf83(skaf48(X1,X2)),X3)
| ~ ssList(app(app(X0,skaf48(X1,X2)),cons(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf48(X1,X2)),skaf82(skaf48(X1,X2)))),cons(X3,X4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151971,c_259,c_260]) ).
tcf(c_152438,plain,
! [X0: $i] : skaf46(skaf61(X0),nil) = skaf61(X0),
inference(demodulation,[status(thm)],[c_14867,c_9128]) ).
tcf(c_152441,plain,
! [X0: $i] :
( ( skaf46(skaf61(X0),nil) = nil )
| ( cons(hd(skaf61(X0)),tl(skaf61(X0))) = skaf61(X0) ) ),
inference(superposition,[status(thm)],[c_152438,c_10793]) ).
tcf(c_152461,plain,
! [X0: $i] : skaf46(skaf58(X0),nil) = skaf58(X0),
inference(demodulation,[status(thm)],[c_14875,c_9128]) ).
tcf(c_152464,plain,
! [X0: $i] :
( ( skaf46(skaf58(X0),nil) = nil )
| ( cons(hd(skaf58(X0)),tl(skaf58(X0))) = skaf58(X0) ) ),
inference(superposition,[status(thm)],[c_152461,c_10793]) ).
tcf(c_152481,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac2,cons(sk5,sk7))))
| ( cons(skac2,cons(sk5,sk7)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac2)
| ~ strictorderedP(cons(skac2,cons(sk5,sk7)))
| ~ ssList(cons(skac2,cons(sk5,sk7))) ),
inference(superposition,[status(thm)],[c_127387,c_407]) ).
tcf(c_152482,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac2,cons(sk5,sk7))))
| ( cons(skac2,cons(sk5,sk7)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac2)
| ~ totalorderedP(cons(skac2,cons(sk5,sk7)))
| ~ ssList(cons(skac2,cons(sk5,sk7))) ),
inference(superposition,[status(thm)],[c_127387,c_406]) ).
tcf(c_152498,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(skac3,cons(sk5,sk7))))
| ( cons(skac3,cons(sk5,sk7)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,skac3)
| ~ strictorderedP(cons(skac3,cons(sk5,sk7)))
| ~ ssList(cons(skac3,cons(sk5,sk7))) ),
inference(superposition,[status(thm)],[c_127388,c_407]) ).
tcf(c_152499,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(skac3,cons(sk5,sk7))))
| ( cons(skac3,cons(sk5,sk7)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,skac3)
| ~ totalorderedP(cons(skac3,cons(sk5,sk7)))
| ~ ssList(cons(skac3,cons(sk5,sk7))) ),
inference(superposition,[status(thm)],[c_127388,c_406]) ).
tcf(c_152515,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk6,cons(sk5,sk7))))
| ( cons(sk6,cons(sk5,sk7)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk6)
| ~ strictorderedP(cons(sk6,cons(sk5,sk7)))
| ~ ssList(cons(sk6,cons(sk5,sk7))) ),
inference(superposition,[status(thm)],[c_127415,c_407]) ).
tcf(c_152516,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk6,cons(sk5,sk7))))
| ( cons(sk6,cons(sk5,sk7)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ totalorderedP(cons(sk6,cons(sk5,sk7)))
| ~ ssList(cons(sk6,cons(sk5,sk7))) ),
inference(superposition,[status(thm)],[c_127415,c_406]) ).
tcf(c_152532,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sk5,cons(sk5,sk7))))
| ( cons(sk5,cons(sk5,sk7)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sk5)
| ~ strictorderedP(cons(sk5,cons(sk5,sk7)))
| ~ ssList(cons(sk5,cons(sk5,sk7))) ),
inference(superposition,[status(thm)],[c_127418,c_407]) ).
tcf(c_152533,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sk5,cons(sk5,sk7))))
| ( cons(sk5,cons(sk5,sk7)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sk5)
| ~ totalorderedP(cons(sk5,cons(sk5,sk7)))
| ~ ssList(cons(sk5,cons(sk5,sk7))) ),
inference(superposition,[status(thm)],[c_127418,c_406]) ).
tcf(c_152550,plain,
( ssList(app(sk4,sk7))
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,sk7),sk4)) ),
inference(superposition,[status(thm)],[c_151966,c_332]) ).
tcf(c_152551,plain,
! [X0: $i] :
( segmentP(app(app(sk4,sk7),X0),skaf45(app(sk4,sk7),sk4))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,sk7),sk4))
| ~ ssList(app(app(sk4,skaf45(app(sk4,sk7),sk4)),X0)) ),
inference(superposition,[status(thm)],[c_151966,c_420]) ).
tcf(c_152552,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,sk7),sk4))
| ( app(X0,skaf45(app(sk4,sk7),sk4)) != app(sk4,sk7) ) ),
inference(superposition,[status(thm)],[c_151966,c_398]) ).
tcf(c_152554,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf45(app(sk4,sk7),sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(app(sk4,sk7),X0)
| ~ ssList(skaf45(app(sk4,sk7),sk4)) ),
inference(superposition,[status(thm)],[c_151966,c_405]) ).
tcf(c_152555,plain,
( ( skaf45(app(sk4,sk7),sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,sk7),sk4))
| ( app(sk4,sk7) != nil ) ),
inference(superposition,[status(thm)],[c_151966,c_366]) ).
tcf(c_152556,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,sk7),sk4))
| ( app(sk4,sk7) != nil ) ),
inference(superposition,[status(thm)],[c_151966,c_365]) ).
tcf(c_152557,plain,
( frontsegP(app(sk4,sk7),sk4)
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,sk7),sk4)) ),
inference(superposition,[status(thm)],[c_151966,c_808]) ).
tcf(c_152558,plain,
( rearsegP(app(sk4,sk7),skaf45(app(sk4,sk7),sk4))
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,sk7),sk4)) ),
inference(superposition,[status(thm)],[c_151966,c_807]) ).
tcf(c_152559,plain,
! [X0: $i] :
( memberP(app(sk4,sk7),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(skaf45(app(sk4,sk7),sk4))
| ~ memberP(skaf45(app(sk4,sk7),sk4),X0) ),
inference(superposition,[status(thm)],[c_151966,c_388]) ).
tcf(c_152560,plain,
! [X0: $i] :
( rearsegP(app(sk4,sk7),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,sk7),sk4))
| ~ rearsegP(skaf45(app(sk4,sk7),sk4),X0) ),
inference(superposition,[status(thm)],[c_151966,c_383]) ).
tcf(c_152561,plain,
! [X0: $i] :
( ( skaf45(app(sk4,sk7),sk4) = X0 )
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,sk7),sk4))
| ( app(sk4,X0) != app(sk4,sk7) ) ),
inference(superposition,[status(thm)],[c_151966,c_397]) ).
tcf(c_152562,plain,
! [X0: $i] :
( memberP(app(sk4,sk7),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(skaf45(app(sk4,sk7),sk4)) ),
inference(superposition,[status(thm)],[c_151966,c_387]) ).
tcf(c_152563,plain,
! [X0: $i] :
( frontsegP(app(sk4,sk7),X0)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(skaf45(app(sk4,sk7),sk4)) ),
inference(superposition,[status(thm)],[c_151966,c_384]) ).
tcf(c_152564,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,sk7),X1),X0)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,sk7),sk4))
| ~ segmentP(skaf45(app(sk4,sk7),sk4),X0) ),
inference(superposition,[status(thm)],[c_151966,c_419]) ).
tcf(c_152565,plain,
( ( skaf45(app(sk4,sk7),sk4) = nil )
| ~ ssList(skaf45(app(sk4,sk7),sk4))
| ( app(sk4,sk7) != sk4 ) ),
inference(superposition,[status(thm)],[c_151966,c_17078]) ).
tcf(c_152566,plain,
( segmentP(app(sk4,sk7),sk4)
| ~ ssList(skaf45(app(sk4,sk7),sk4))
| ~ ssList(app(sk4,skaf45(app(sk4,sk7),sk4))) ),
inference(superposition,[status(thm)],[c_151966,c_20774]) ).
tcf(c_152567,plain,
! [X0: $i] :
( segmentP(app(sk4,sk7),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(skaf45(app(sk4,sk7),sk4)) ),
inference(superposition,[status(thm)],[c_151966,c_20315]) ).
tcf(c_152568,plain,
! [X0: $i] :
( segmentP(app(sk4,sk7),X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(skaf45(app(sk4,sk7),sk4)) ),
inference(superposition,[status(thm)],[c_151966,c_20295]) ).
tcf(c_152569,plain,
ssList(app(sk4,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_152550,c_6486,c_298]) ).
tcf(c_152570,plain,
frontsegP(app(sk4,sk7),sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_152557,c_6486,c_298]) ).
tcf(c_152571,plain,
! [X0: $i] :
( segmentP(app(sk4,sk7),X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152568,c_298]) ).
tcf(c_152575,plain,
! [X0: $i] :
( segmentP(app(sk4,sk7),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152567,c_298]) ).
tcf(c_152579,plain,
rearsegP(app(sk4,sk7),skaf45(app(sk4,sk7),sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_152558,c_6486,c_298]) ).
tcf(c_152580,plain,
( segmentP(app(sk4,sk7),sk4)
| ~ ssList(app(sk4,sk7))
| ~ ssList(skaf45(app(sk4,sk7),sk4)) ),
inference(light_normalisation,[status(thm)],[c_152566,c_151966]) ).
tcf(c_152581,plain,
( segmentP(app(sk4,sk7),sk4)
| ~ ssList(app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152580,c_298]) ).
tcf(c_152584,plain,
( ( sk4 = nil )
| ( app(sk4,sk7) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152556,c_6486,c_298]) ).
tcf(c_152587,plain,
( ( skaf45(app(sk4,sk7),sk4) = nil )
| ( app(sk4,sk7) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152565,c_298]) ).
tcf(c_152590,plain,
! [X0: $i] :
( frontsegP(app(sk4,sk7),X0)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152563,c_6486,c_298]) ).
tcf(c_152594,plain,
! [X0: $i] :
( memberP(app(sk4,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152562,c_6486,c_298]) ).
tcf(c_152598,plain,
( ( skaf45(app(sk4,sk7),sk4) = nil )
| ( app(sk4,sk7) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152555,c_6486,c_298]) ).
tcf(c_152601,plain,
! [X0: $i] :
( rearsegP(app(sk4,sk7),X0)
| ~ ssList(X0)
| ~ rearsegP(skaf45(app(sk4,sk7),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152560,c_6486,c_298]) ).
tcf(c_152605,plain,
! [X0: $i] :
( memberP(app(sk4,sk7),X0)
| ~ ssItem(X0)
| ~ memberP(skaf45(app(sk4,sk7),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152559,c_6486,c_298]) ).
tcf(c_152609,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(skaf45(app(sk4,sk7),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk4,sk7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152554,c_6486,c_298]) ).
tcf(c_152614,plain,
! [X0: $i] :
( ( skaf45(app(sk4,sk7),sk4) = X0 )
| ~ ssList(X0)
| ( app(sk4,X0) != app(sk4,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152561,c_6486,c_298]) ).
tcf(c_152618,plain,
! [X0: $i] :
( ( X0 = sk4 )
| ~ ssList(X0)
| ( app(X0,skaf45(app(sk4,sk7),sk4)) != app(sk4,sk7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152552,c_6486,c_298]) ).
tcf(c_152622,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sk4,sk7),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(skaf45(app(sk4,sk7),sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152564,c_6486,c_298]) ).
tcf(c_152627,plain,
! [X0: $i] :
( segmentP(app(app(sk4,sk7),X0),skaf45(app(sk4,sk7),sk4))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf45(app(sk4,sk7),sk4))
| ~ ssList(app(app(sk4,sk7),X0)) ),
inference(light_normalisation,[status(thm)],[c_152551,c_151966]) ).
tcf(c_152628,plain,
! [X0: $i] :
( segmentP(app(app(sk4,sk7),X0),skaf45(app(sk4,sk7),sk4))
| ~ ssList(X0)
| ~ ssList(app(app(sk4,sk7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152627,c_6486,c_298]) ).
tcf(c_152632,plain,
~ frontsegP(cons(sk5,sk4),iPr_def_14),
inference(backward_subsumption_resolution,[status(thm)],[c_143721,c_152569]) ).
tcf(c_152633,plain,
( ( app(sk4,sk7) = sk4 )
| ~ frontsegP(sk4,app(sk4,sk7)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_125496,c_152569]) ).
tcf(c_152635,plain,
frontsegP(app(sk4,app(sk7,sk8)),app(sk4,sk7)),
inference(backward_subsumption_resolution,[status(thm)],[c_46911,c_152569]) ).
tcf(c_152636,plain,
rearsegP(app(sk4,app(sk7,sk8)),sk8),
inference(backward_subsumption_resolution,[status(thm)],[c_46908,c_152569]) ).
tcf(c_152637,plain,
ssList(app(sk4,app(sk7,sk8))),
inference(backward_subsumption_resolution,[status(thm)],[c_46905,c_152569]) ).
tcf(c_152638,plain,
frontsegP(app(sk4,app(sk7,sk7)),app(sk4,sk7)),
inference(backward_subsumption_resolution,[status(thm)],[c_46617,c_152569]) ).
tcf(c_152639,plain,
rearsegP(app(sk4,app(sk7,sk7)),sk7),
inference(backward_subsumption_resolution,[status(thm)],[c_46614,c_152569]) ).
tcf(c_152640,plain,
ssList(app(sk4,app(sk7,sk7))),
inference(backward_subsumption_resolution,[status(thm)],[c_46611,c_152569]) ).
tcf(c_152641,plain,
frontsegP(app(sk4,app(sk7,sk4)),app(sk4,sk7)),
inference(backward_subsumption_resolution,[status(thm)],[c_46259,c_152569]) ).
tcf(c_152642,plain,
rearsegP(app(sk4,app(sk7,sk4)),sk4),
inference(backward_subsumption_resolution,[status(thm)],[c_46256,c_152569]) ).
tcf(c_152643,plain,
ssList(app(sk4,app(sk7,sk4))),
inference(backward_subsumption_resolution,[status(thm)],[c_46253,c_152569]) ).
tcf(c_152646,plain,
segmentP(app(sk4,app(sk7,sk8)),sk7),
inference(backward_subsumption_resolution,[status(thm)],[c_46932,c_152637]) ).
tcf(c_152647,plain,
segmentP(app(sk4,app(sk7,sk7)),sk7),
inference(backward_subsumption_resolution,[status(thm)],[c_46624,c_152640]) ).
tcf(c_152648,plain,
segmentP(app(sk4,app(sk7,sk4)),sk7),
inference(backward_subsumption_resolution,[status(thm)],[c_46266,c_152643]) ).
tcf(c_152727,plain,
! [X0: $i] :
( ( app(app(app(sk4,sk7),sk8),X0) = app(app(sk4,sk7),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_152569,c_16217]) ).
tcf(c_152728,plain,
! [X0: $i] :
( ( app(app(app(sk4,sk7),sk7),X0) = app(app(sk4,sk7),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_152569,c_16216]) ).
tcf(c_152729,plain,
! [X0: $i] :
( ( app(app(app(sk4,sk7),sk4),X0) = app(app(sk4,sk7),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_152569,c_16215]) ).
tcf(c_152730,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk4,sk7))) = app(cons(X1,X0),app(sk4,sk7)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_152569,c_404]) ).
tcf(c_152731,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk4,sk7)),X0) = app(X1,app(app(sk4,sk7),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_152569,c_396]) ).
tcf(c_152732,plain,
! [X0: $i] :
( ( app(sk4,sk7) = nil )
| ( app(tl(app(sk4,sk7)),X0) = tl(app(app(sk4,sk7),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_152569,c_380]) ).
tcf(c_152733,plain,
! [X0: $i] :
( ( app(sk4,sk7) = nil )
| ( hd(app(app(sk4,sk7),X0)) = hd(app(sk4,sk7)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_152569,c_370]) ).
tcf(c_152734,plain,
cons(sk6,app(app(sk4,sk7),sk7)) = app(cons(sk6,app(sk4,sk7)),sk7),
inference(superposition,[status(thm)],[c_152569,c_122890]) ).
tcf(c_152735,plain,
hd(app(iPr_def_12,app(sk4,sk7))) = sk5,
inference(superposition,[status(thm)],[c_152569,c_11944]) ).
tcf(c_152736,plain,
cons(sk5,app(app(sk4,sk7),sk7)) = app(cons(sk5,app(sk4,sk7)),sk7),
inference(superposition,[status(thm)],[c_152569,c_122889]) ).
tcf(c_152737,plain,
hd(app(iPr_def_14,app(sk4,sk7))) = sk6,
inference(superposition,[status(thm)],[c_152569,c_11940]) ).
tcf(c_152738,plain,
hd(cons(skac2,app(sk4,sk7))) = skac2,
inference(superposition,[status(thm)],[c_152569,c_10021]) ).
tcf(c_152739,plain,
hd(cons(skac3,app(sk4,sk7))) = skac3,
inference(superposition,[status(thm)],[c_152569,c_10020]) ).
tcf(c_152740,plain,
tl(cons(skac2,app(sk4,sk7))) = app(sk4,sk7),
inference(superposition,[status(thm)],[c_152569,c_9891]) ).
tcf(c_152741,plain,
cons(sk6,app(app(sk4,sk7),sk4)) = app(cons(sk6,app(sk4,sk7)),sk4),
inference(superposition,[status(thm)],[c_152569,c_64778]) ).
tcf(c_152742,plain,
cons(sk5,app(app(sk4,sk7),sk4)) = app(cons(sk5,app(sk4,sk7)),sk4),
inference(superposition,[status(thm)],[c_152569,c_64777]) ).
tcf(c_152743,plain,
tl(cons(skac3,app(sk4,sk7))) = app(sk4,sk7),
inference(superposition,[status(thm)],[c_152569,c_9890]) ).
tcf(c_152744,plain,
app(app(sk8,sk8),app(sk4,sk7)) = app(sk8,app(sk8,app(sk4,sk7))),
inference(superposition,[status(thm)],[c_152569,c_56349]) ).
tcf(c_152745,plain,
app(app(sk7,sk8),app(sk4,sk7)) = app(sk7,app(sk8,app(sk4,sk7))),
inference(superposition,[status(thm)],[c_152569,c_56348]) ).
tcf(c_152746,plain,
app(app(sk4,sk8),app(sk4,sk7)) = app(sk4,app(sk8,app(sk4,sk7))),
inference(superposition,[status(thm)],[c_152569,c_56347]) ).
tcf(c_152747,plain,
app(app(sk8,sk7),app(sk4,sk7)) = app(sk8,app(sk7,app(sk4,sk7))),
inference(superposition,[status(thm)],[c_152569,c_45540]) ).
tcf(c_152748,plain,
app(app(sk7,sk7),app(sk4,sk7)) = app(sk7,app(sk7,app(sk4,sk7))),
inference(superposition,[status(thm)],[c_152569,c_45539]) ).
tcf(c_152749,plain,
app(app(sk4,sk7),app(sk4,sk7)) = app(sk4,app(sk7,app(sk4,sk7))),
inference(superposition,[status(thm)],[c_152569,c_45538]) ).
tcf(c_152750,plain,
app(app(sk8,sk4),app(sk4,sk7)) = app(sk8,app(sk4,app(sk4,sk7))),
inference(superposition,[status(thm)],[c_152569,c_37633]) ).
tcf(c_152751,plain,
app(app(sk7,sk4),app(sk4,sk7)) = app(sk7,app(sk4,app(sk4,sk7))),
inference(superposition,[status(thm)],[c_152569,c_37632]) ).
tcf(c_152752,plain,
app(app(sk4,sk4),app(sk4,sk7)) = app(sk4,app(sk4,app(sk4,sk7))),
inference(superposition,[status(thm)],[c_152569,c_37631]) ).
tcf(c_152753,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk4,sk7)) = tl(app(sk8,app(sk4,sk7))) ) ),
inference(superposition,[status(thm)],[c_152569,c_14611]) ).
tcf(c_152754,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk4,sk7)) = tl(app(sk7,app(sk4,sk7))) ) ),
inference(superposition,[status(thm)],[c_152569,c_14610]) ).
tcf(c_152755,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk4,sk7)) = tl(app(sk4,app(sk4,sk7))) ) ),
inference(superposition,[status(thm)],[c_152569,c_14609]) ).
tcf(c_152756,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk4,sk7))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_152569,c_11903]) ).
tcf(c_152757,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk4,sk7))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_152569,c_11902]) ).
tcf(c_152758,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk4,sk7))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_152569,c_11901]) ).
tcf(c_152759,plain,
( cyclefreeP(app(sk4,sk7))
| ( app(app(skaf51(app(sk4,sk7)),cons(skaf49(app(sk4,sk7)),skaf52(app(sk4,sk7)))),cons(skaf50(app(sk4,sk7)),skaf53(app(sk4,sk7)))) = app(sk4,sk7) ) ),
inference(superposition,[status(thm)],[c_152569,c_414]) ).
tcf(c_152760,plain,
( totalorderP(app(sk4,sk7))
| ( app(app(skaf56(app(sk4,sk7)),cons(skaf54(app(sk4,sk7)),skaf57(app(sk4,sk7)))),cons(skaf55(app(sk4,sk7)),skaf58(app(sk4,sk7)))) = app(sk4,sk7) ) ),
inference(superposition,[status(thm)],[c_152569,c_413]) ).
tcf(c_152761,plain,
( strictorderP(app(sk4,sk7))
| ( app(app(skaf61(app(sk4,sk7)),cons(skaf59(app(sk4,sk7)),skaf62(app(sk4,sk7)))),cons(skaf60(app(sk4,sk7)),skaf63(app(sk4,sk7)))) = app(sk4,sk7) ) ),
inference(superposition,[status(thm)],[c_152569,c_412]) ).
tcf(c_152762,plain,
( totalorderedP(app(sk4,sk7))
| ( app(app(skaf66(app(sk4,sk7)),cons(skaf64(app(sk4,sk7)),skaf67(app(sk4,sk7)))),cons(skaf65(app(sk4,sk7)),skaf68(app(sk4,sk7)))) = app(sk4,sk7) ) ),
inference(superposition,[status(thm)],[c_152569,c_411]) ).
tcf(c_152763,plain,
( strictorderedP(app(sk4,sk7))
| ( app(app(skaf71(app(sk4,sk7)),cons(skaf69(app(sk4,sk7)),skaf72(app(sk4,sk7)))),cons(skaf70(app(sk4,sk7)),skaf73(app(sk4,sk7)))) = app(sk4,sk7) ) ),
inference(superposition,[status(thm)],[c_152569,c_410]) ).
tcf(c_152764,plain,
( duplicatefreeP(app(sk4,sk7))
| ( app(app(skaf75(app(sk4,sk7)),cons(skaf74(app(sk4,sk7)),skaf76(app(sk4,sk7)))),cons(skaf74(app(sk4,sk7)),skaf77(app(sk4,sk7)))) = app(sk4,sk7) ) ),
inference(superposition,[status(thm)],[c_152569,c_409]) ).
tcf(c_152765,plain,
( equalelemsP(app(sk4,sk7))
| ( app(skaf80(app(sk4,sk7)),cons(skaf78(app(sk4,sk7)),cons(skaf79(app(sk4,sk7)),skaf81(app(sk4,sk7))))) = app(sk4,sk7) ) ),
inference(superposition,[status(thm)],[c_152569,c_389]) ).
tcf(c_152766,plain,
hd(cons(sk6,app(sk4,sk7))) = sk6,
inference(superposition,[status(thm)],[c_152569,c_10017]) ).
tcf(c_152767,plain,
( ( app(sk4,sk7) = nil )
| ( cons(skaf83(app(sk4,sk7)),skaf82(app(sk4,sk7))) = app(sk4,sk7) ) ),
inference(superposition,[status(thm)],[c_152569,c_356]) ).
tcf(c_152768,plain,
( ( app(sk4,sk7) = nil )
| ( cons(hd(app(sk4,sk7)),tl(app(sk4,sk7))) = app(sk4,sk7) ) ),
inference(superposition,[status(thm)],[c_152569,c_351]) ).
tcf(c_152769,plain,
hd(cons(sk5,app(sk4,sk7))) = sk5,
inference(superposition,[status(thm)],[c_152569,c_10016]) ).
tcf(c_152770,plain,
tl(cons(sk6,app(sk4,sk7))) = app(sk4,sk7),
inference(superposition,[status(thm)],[c_152569,c_9887]) ).
tcf(c_152771,plain,
tl(cons(sk5,app(sk4,sk7))) = app(sk4,sk7),
inference(superposition,[status(thm)],[c_152569,c_9886]) ).
tcf(c_152772,plain,
( duplicatefreeP(app(sk4,sk7))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_152569,c_6471]) ).
tcf(c_152773,plain,
app(nil,app(sk4,sk7)) = app(sk4,sk7),
inference(superposition,[status(thm)],[c_152569,c_321]) ).
tcf(c_152783,plain,
cons(sk5,app(sk4,app(sk7,sk4))) = app(cons(sk5,app(sk4,sk7)),sk4),
inference(light_normalisation,[status(thm)],[c_152742,c_45960]) ).
tcf(c_152784,plain,
cons(sk6,app(sk4,app(sk7,sk4))) = app(cons(sk6,app(sk4,sk7)),sk4),
inference(light_normalisation,[status(thm)],[c_152741,c_45960]) ).
tcf(c_152785,plain,
cons(sk5,app(sk4,app(sk7,sk7))) = app(cons(sk5,app(sk4,sk7)),sk7),
inference(light_normalisation,[status(thm)],[c_152736,c_45961]) ).
tcf(c_152786,plain,
cons(sk6,app(sk4,app(sk7,sk7))) = app(cons(sk6,app(sk4,sk7)),sk7),
inference(light_normalisation,[status(thm)],[c_152734,c_45961]) ).
tcf(c_152793,plain,
! [X0: $i] :
( ( app(app(sk4,app(sk7,sk4)),X0) = app(app(sk4,sk7),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_152729,c_45960]) ).
tcf(c_152796,plain,
! [X0: $i] :
( ( app(app(sk4,app(sk7,sk7)),X0) = app(app(sk4,sk7),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_152728,c_45961]) ).
tcf(c_152799,plain,
! [X0: $i] :
( ( app(app(sk4,app(sk7,sk8)),X0) = app(app(sk4,sk7),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_152727,c_45962]) ).
tcf(c_152968,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk4,sk7),sk4))
| ~ ssList(X0)
| ~ ssList(app(sk4,sk7))
| ~ rearsegP(X0,app(sk4,sk7))
| ~ ssList(skaf45(app(sk4,sk7),sk4)) ),
inference(superposition,[status(thm)],[c_152579,c_400]) ).
tcf(c_152969,plain,
( ( app(skaf46(app(sk4,sk7),skaf45(app(sk4,sk7),sk4)),skaf45(app(sk4,sk7),sk4)) = app(sk4,sk7) )
| ~ ssList(app(sk4,sk7))
| ~ ssList(skaf45(app(sk4,sk7),sk4)) ),
inference(superposition,[status(thm)],[c_152579,c_378]) ).
tcf(c_152970,plain,
( ( skaf45(app(sk4,sk7),sk4) = app(sk4,sk7) )
| ~ ssList(app(sk4,sk7))
| ~ ssList(skaf45(app(sk4,sk7),sk4))
| ~ rearsegP(skaf45(app(sk4,sk7),sk4),app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_152579,c_375]) ).
tcf(c_152971,plain,
! [X0: $i] :
( rearsegP(X0,skaf45(app(sk4,sk7),sk4))
| ~ ssList(X0)
| ~ rearsegP(X0,app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152968,c_152569,c_298]) ).
tcf(c_152975,plain,
( ( skaf45(app(sk4,sk7),sk4) = app(sk4,sk7) )
| ~ rearsegP(skaf45(app(sk4,sk7),sk4),app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152970,c_152569,c_298]) ).
tcf(c_152978,plain,
app(skaf46(app(sk4,sk7),skaf45(app(sk4,sk7),sk4)),skaf45(app(sk4,sk7),sk4)) = app(sk4,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_152969,c_152569,c_298]) ).
tcf(c_152990,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk4,X1)
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(X0,app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_152590,c_401]) ).
tcf(c_152991,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk4,sk7),X0)) = app(sk4,sk7) )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_152590,c_379]) ).
tcf(c_152992,plain,
! [X0: $i] :
( ( app(sk4,sk7) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(X0,app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_152590,c_376]) ).
tcf(c_152993,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ ssList(iPr_def_13)
| ~ frontsegP(sk4,iPr_def_13)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_152590,c_15594]) ).
tcf(c_152994,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ ssList(iPr_def_15)
| ~ frontsegP(sk4,iPr_def_15)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_152590,c_28779]) ).
tcf(c_152995,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ ssList(iPr_def_16)
| ~ frontsegP(sk4,iPr_def_16)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_152590,c_26336]) ).
tcf(c_152996,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_152590,c_75356]) ).
tcf(c_152997,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_152590,c_75336]) ).
tcf(c_152998,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(sk6,sk4))
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_152590,c_75316]) ).
tcf(c_152999,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_152590,c_84010]) ).
tcf(c_153000,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_152590,c_83991]) ).
tcf(c_153001,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(sk6,sk7))
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(superposition,[status(thm)],[c_152590,c_82977]) ).
tcf(c_153002,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_152590,c_84849]) ).
tcf(c_153003,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_152590,c_84050]) ).
tcf(c_153004,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(sk6,sk8))
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(superposition,[status(thm)],[c_152590,c_84030]) ).
tcf(c_153012,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk7,app(sk4,sk4)))
| ~ frontsegP(sk4,app(sk7,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_152590,c_115687]) ).
tcf(c_153013,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ ssList(app(sk7,sk4))
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(sk4,app(sk7,sk4)) ),
inference(superposition,[status(thm)],[c_152590,c_112396]) ).
tcf(c_153014,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk7,app(sk4,sk7)))
| ~ frontsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_152590,c_115675]) ).
tcf(c_153015,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk7,app(sk4,sk8)))
| ~ frontsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_152590,c_114631]) ).
tcf(c_153016,plain,
( frontsegP(app(sk4,sk7),sk8)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk8,app(sk4,sk4)))
| ~ frontsegP(sk4,app(sk8,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_152590,c_124725]) ).
tcf(c_153017,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_152590,c_145839]) ).
tcf(c_153018,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_152590,c_144909]) ).
tcf(c_153019,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_152590,c_144889]) ).
tcf(c_153020,plain,
( frontsegP(app(sk4,sk7),sk8)
| ~ ssList(app(sk8,sk4))
| ~ ssList(app(sk4,sk7))
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(superposition,[status(thm)],[c_152590,c_122728]) ).
tcf(c_153021,plain,
( frontsegP(app(sk4,sk7),sk8)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk8,app(sk4,sk7)))
| ~ frontsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(superposition,[status(thm)],[c_152590,c_124713]) ).
tcf(c_153022,plain,
( frontsegP(app(sk4,sk7),sk8)
| ~ ssList(app(sk4,sk7))
| ~ ssList(app(sk8,app(sk4,sk8)))
| ~ frontsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(superposition,[status(thm)],[c_152590,c_124701]) ).
tcf(c_153023,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_152590,c_108921]) ).
tcf(c_153024,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_152590,c_107545]) ).
tcf(c_153025,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ ssList(app(sk4,sk7))
| ~ ssList(cons(sk5,sk4))
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_152590,c_107525]) ).
tcf(c_153026,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(sk4,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152995,c_9020,c_152569]) ).
tcf(c_153029,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(sk4,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152994,c_24748,c_152569]) ).
tcf(c_153032,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(sk4,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152993,c_9527,c_152569]) ).
tcf(c_153035,plain,
( frontsegP(app(sk4,sk7),sk8)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153020,c_112727,c_152569]) ).
tcf(c_153038,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(sk4,app(sk7,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153013,c_89458,c_152569]) ).
tcf(c_153041,plain,
! [X0: $i] :
( ( app(sk4,sk7) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(X0,app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152992,c_152569]) ).
tcf(c_153046,plain,
! [X0: $i] :
( ( app(X0,skaf45(app(sk4,sk7),X0)) = app(sk4,sk7) )
| ~ ssList(X0)
| ~ frontsegP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152991,c_152569]) ).
tcf(c_153050,plain,
! [X0: $i,X1: $i] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sk4,X1)
| ~ frontsegP(X0,app(sk4,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152990,c_152569]) ).
tcf(c_153056,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_16)
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153025,c_152569,c_66402]) ).
tcf(c_153060,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_15)
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153024,c_152569,c_66402]) ).
tcf(c_153064,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_12,iPr_def_13)
| ~ frontsegP(sk4,cons(sk5,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153023,c_152569,c_66402]) ).
tcf(c_153068,plain,
( frontsegP(app(sk4,sk7),sk8)
| ~ frontsegP(sk4,app(sk8,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153022,c_152569,c_112795]) ).
tcf(c_153071,plain,
( frontsegP(app(sk4,sk7),sk8)
| ~ frontsegP(sk4,app(sk8,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153021,c_152569,c_112798]) ).
tcf(c_153074,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_16)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153019,c_112727,c_152569]) ).
tcf(c_153078,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_15)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153018,c_112727,c_152569]) ).
tcf(c_153082,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(sk8,iPr_def_13)
| ~ frontsegP(sk4,app(sk8,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153017,c_112727,c_152569]) ).
tcf(c_153086,plain,
( frontsegP(app(sk4,sk7),sk8)
| ~ frontsegP(sk4,app(sk8,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153016,c_152569,c_112801]) ).
tcf(c_153089,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(sk4,app(sk7,app(sk4,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153015,c_152569,c_89535]) ).
tcf(c_153092,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(sk4,app(sk7,app(sk4,sk7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153014,c_152569,c_89538]) ).
tcf(c_153095,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(sk4,app(sk7,app(sk4,sk4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153012,c_152569,c_89541]) ).
tcf(c_153098,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153004,c_152569,c_28938]) ).
tcf(c_153102,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153003,c_152569,c_28938]) ).
tcf(c_153106,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk4,cons(sk6,sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153002,c_152569,c_28938]) ).
tcf(c_153110,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153001,c_152569,c_28940]) ).
tcf(c_153114,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153000,c_152569,c_28940]) ).
tcf(c_153118,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk4,cons(sk6,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152999,c_152569,c_28940]) ).
tcf(c_153122,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_16)
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152998,c_152569,c_28942]) ).
tcf(c_153126,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_15)
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152997,c_152569,c_28942]) ).
tcf(c_153130,plain,
( frontsegP(app(sk4,sk7),sk7)
| ~ frontsegP(iPr_def_14,iPr_def_13)
| ~ frontsegP(sk4,cons(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_152996,c_152569,c_28942]) ).
tcf(c_153142,plain,
! [X0: $i] :
( ( app(skaf42(app(sk4,sk7),X0),cons(X0,skaf43(X0,app(sk4,sk7)))) = app(sk4,sk7) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(app(sk4,sk7)) ),
inference(superposition,[status(thm)],[c_152594,c_416]) ).
tcf(c_153144,plain,
! [X0: $i] :
( ( app(skaf42(app(sk4,sk7),X0),cons(X0,skaf43(X0,app(sk4,sk7)))) = app(sk4,sk7) )
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153142,c_152569]) ).
tcf(c_153157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf47(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf47(X1,X2)))
| ~ ssList(skaf82(skaf47(X1,X2)))
| ~ leq(X3,skaf83(skaf47(X1,X2)))
| ~ leq(skaf83(skaf47(X1,X2)),X3)
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf47(X1,X2)),skaf82(skaf47(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_11008,c_432]) ).
tcf(c_153158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X3,skaf83(skaf47(X1,X2)))
| leq(skaf83(skaf47(X1,X2)),X3)
| ( skaf47(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf47(X1,X2)))
| ~ ssList(skaf82(skaf47(X1,X2)))
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(X3,X4)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf47(X1,X2)),skaf82(skaf47(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_11008,c_431]) ).
tcf(c_153159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X3,skaf83(skaf47(X1,X2)))
| lt(skaf83(skaf47(X1,X2)),X3)
| ( skaf47(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf47(X1,X2)))
| ~ ssList(skaf82(skaf47(X1,X2)))
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(X3,X4)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf47(X1,X2)),skaf82(skaf47(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_11008,c_430]) ).
tcf(c_153160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(skaf83(skaf47(X1,X2)),X3)
| ( skaf47(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf47(X1,X2)))
| ~ ssList(skaf82(skaf47(X1,X2)))
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf47(X1,X2)),skaf82(skaf47(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_11008,c_429]) ).
tcf(c_153161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(skaf83(skaf47(X1,X2)),X3)
| ( skaf47(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf47(X1,X2)))
| ~ ssList(skaf82(skaf47(X1,X2)))
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf47(X1,X2)),skaf82(skaf47(X1,X2)))),cons(X3,X4))) ),
inference(superposition,[status(thm)],[c_11008,c_428]) ).
tcf(c_153162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf47(X1,X2)))
| ~ ssList(skaf82(skaf47(X1,X2)))
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(skaf83(skaf47(X1,X2)),X3)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf47(X1,X2)),skaf82(skaf47(X1,X2)))),cons(skaf83(skaf47(X1,X2)),X3))) ),
inference(superposition,[status(thm)],[c_11008,c_426]) ).
tcf(c_153163,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,skaf47(X1,X2)),skaf83(skaf47(X1,X2)))
| ( skaf47(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf47(X1,X2)))
| ~ ssList(skaf82(skaf47(X1,X2)))
| ~ ssList(app(X0,cons(skaf83(skaf47(X1,X2)),skaf82(skaf47(X1,X2))))) ),
inference(superposition,[status(thm)],[c_11008,c_422]) ).
tcf(c_153164,plain,
! [X0: $i,X1: $i] :
( memberP(skaf47(X0,X1),skaf83(skaf47(X0,X1)))
| ( skaf47(X0,X1) = nil )
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_11008,c_385]) ).
tcf(c_153166,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf82(skaf47(X0,X1)) = nil )
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1)))
| ( skaf47(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11008,c_21847]) ).
tcf(c_153167,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf82(skaf47(X0,X1)) = nil )
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1)))
| ( skaf47(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11008,c_21842]) ).
tcf(c_153168,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf83(skaf47(X0,X1)) = sk5 )
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1)))
| ( skaf47(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11008,c_21750]) ).
tcf(c_153169,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf83(skaf47(X0,X1)) = sk6 )
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1)))
| ( skaf47(X0,X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11008,c_21745]) ).
tcf(c_153170,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf83(skaf47(X0,X1)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf47(X0,X1))
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_11008,c_21595]) ).
tcf(c_153171,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf83(skaf47(X0,X1)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf47(X0,X1))
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_11008,c_21590]) ).
tcf(c_153172,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf83(skaf47(X0,X1)) = sk5 )
| ~ frontsegP(skaf47(X0,X1),iPr_def_12)
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_11008,c_21585]) ).
tcf(c_153173,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf83(skaf47(X0,X1)) = sk6 )
| ~ frontsegP(skaf47(X0,X1),iPr_def_14)
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_11008,c_21580]) ).
tcf(c_153174,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,skaf82(skaf47(X0,X1)))
| ( skaf47(X0,X1) = nil )
| ~ frontsegP(iPr_def_12,skaf47(X0,X1))
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_11008,c_21202]) ).
tcf(c_153175,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,skaf82(skaf47(X0,X1)))
| ( skaf47(X0,X1) = nil )
| ~ frontsegP(iPr_def_14,skaf47(X0,X1))
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_11008,c_21197]) ).
tcf(c_153178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf83(skaf47(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1)))
| ~ frontsegP(skaf47(X0,X1),cons(X2,X3)) ),
inference(superposition,[status(thm)],[c_11008,c_423]) ).
tcf(c_153179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(skaf82(skaf47(X0,X1)),X3)
| ( skaf47(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1)))
| ~ frontsegP(skaf47(X0,X1),cons(X2,X3)) ),
inference(superposition,[status(thm)],[c_11008,c_421]) ).
tcf(c_153180,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf82(skaf47(X0,X1)),X2)
| ( skaf47(X0,X1) = nil )
| ( skaf83(skaf47(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1)))
| ~ memberP(skaf47(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_11008,c_408]) ).
tcf(c_153181,plain,
! [X0: $i,X1: $i] :
( leq(skaf83(skaf47(X0,X1)),hd(skaf82(skaf47(X0,X1))))
| ( skaf47(X0,X1) = nil )
| ( skaf82(skaf47(X0,X1)) = nil )
| ~ totalorderedP(skaf47(X0,X1))
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_11008,c_382]) ).
tcf(c_153182,plain,
! [X0: $i,X1: $i] :
( lt(skaf83(skaf47(X0,X1)),hd(skaf82(skaf47(X0,X1))))
| ( skaf47(X0,X1) = nil )
| ( skaf82(skaf47(X0,X1)) = nil )
| ~ strictorderedP(skaf47(X0,X1))
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_11008,c_381]) ).
tcf(c_153183,plain,
! [X0: $i,X1: $i] :
( totalorderedP(skaf82(skaf47(X0,X1)))
| ( skaf47(X0,X1) = nil )
| ( skaf82(skaf47(X0,X1)) = nil )
| ~ totalorderedP(skaf47(X0,X1))
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_11008,c_372]) ).
tcf(c_153184,plain,
! [X0: $i,X1: $i] :
( strictorderedP(skaf82(skaf47(X0,X1)))
| ( skaf47(X0,X1) = nil )
| ( skaf82(skaf47(X0,X1)) = nil )
| ~ strictorderedP(skaf47(X0,X1))
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1))) ),
inference(superposition,[status(thm)],[c_11008,c_371]) ).
tcf(c_153185,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1)))
| ( skaf82(skaf47(X0,X1)) != skaf47(X0,X1) ) ),
inference(superposition,[status(thm)],[c_11008,c_346]) ).
tcf(c_153187,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(cons(skaf83(skaf47(X1,X2)),X0),skaf47(X1,X2))
| ( skaf47(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf47(X1,X2)))
| ~ ssList(skaf82(skaf47(X1,X2)))
| ~ frontsegP(X0,skaf82(skaf47(X1,X2))) ),
inference(superposition,[status(thm)],[c_11008,c_425]) ).
tcf(c_153188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X2,X3) = nil )
| ( skaf83(skaf47(X2,X3)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf47(X2,X3)))
| ~ ssList(skaf82(skaf47(X2,X3)))
| ~ ssList(app(X0,cons(X1,skaf47(X2,X3))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf47(X2,X3)),skaf82(skaf47(X2,X3)))))) ),
inference(superposition,[status(thm)],[c_11008,c_427]) ).
tcf(c_153189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X2,X3) = nil )
| ( skaf82(skaf47(X2,X3)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf47(X2,X3)))
| ~ ssList(skaf82(skaf47(X2,X3)))
| ( cons(X0,X1) != skaf47(X2,X3) ) ),
inference(superposition,[status(thm)],[c_11008,c_418]) ).
tcf(c_153190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X2,X3) = nil )
| ( skaf83(skaf47(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf47(X2,X3)))
| ~ ssList(skaf82(skaf47(X2,X3)))
| ( cons(X0,X1) != skaf47(X2,X3) ) ),
inference(superposition,[status(thm)],[c_11008,c_417]) ).
tcf(c_153191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X2,X3) = nil )
| ( skaf83(skaf47(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf47(X2,X3)))
| ~ ssList(skaf82(skaf47(X2,X3)))
| ~ frontsegP(cons(X0,X1),skaf47(X2,X3)) ),
inference(superposition,[status(thm)],[c_11008,c_423]) ).
tcf(c_153192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X1,skaf82(skaf47(X2,X3)))
| ( skaf47(X2,X3) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(skaf83(skaf47(X2,X3)))
| ~ ssList(skaf82(skaf47(X2,X3)))
| ~ frontsegP(cons(X0,X1),skaf47(X2,X3)) ),
inference(superposition,[status(thm)],[c_11008,c_421]) ).
tcf(c_153193,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf47(X0,X1),cons(skaf83(skaf47(X0,X1)),X2))
| ( skaf47(X0,X1) = nil )
| ~ ssList(X2)
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1)))
| ~ frontsegP(skaf82(skaf47(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_11008,c_425]) ).
tcf(c_153194,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf47(X0,X1),X2)
| ( skaf47(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssItem(skaf83(skaf47(X0,X1)))
| ~ ssList(skaf82(skaf47(X0,X1)))
| ~ memberP(skaf82(skaf47(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_11008,c_386]) ).
tcf(c_153195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf47(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf47(X3,X4)))
| ~ ssList(skaf82(skaf47(X3,X4)))
| ~ leq(X1,skaf83(skaf47(X3,X4)))
| ~ leq(skaf83(skaf47(X3,X4)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf47(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf47(X3,X4)),skaf82(skaf47(X3,X4))))) ),
inference(superposition,[status(thm)],[c_11008,c_432]) ).
tcf(c_153196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,skaf83(skaf47(X3,X4)))
| leq(skaf83(skaf47(X3,X4)),X1)
| ( skaf47(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf47(X3,X4)))
| ~ ssList(skaf82(skaf47(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf47(X3,X4)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf47(X3,X4)),skaf82(skaf47(X3,X4))))) ),
inference(superposition,[status(thm)],[c_11008,c_431]) ).
tcf(c_153197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,skaf83(skaf47(X3,X4)))
| lt(skaf83(skaf47(X3,X4)),X1)
| ( skaf47(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf47(X3,X4)))
| ~ ssList(skaf82(skaf47(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf47(X3,X4)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf47(X3,X4)),skaf82(skaf47(X3,X4))))) ),
inference(superposition,[status(thm)],[c_11008,c_430]) ).
tcf(c_153198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,skaf83(skaf47(X3,X4)))
| ( skaf47(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf47(X3,X4)))
| ~ ssList(skaf82(skaf47(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf47(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf47(X3,X4)),skaf82(skaf47(X3,X4))))) ),
inference(superposition,[status(thm)],[c_11008,c_429]) ).
tcf(c_153199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,skaf83(skaf47(X3,X4)))
| ( skaf47(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf47(X3,X4)))
| ~ ssList(skaf82(skaf47(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),skaf47(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf47(X3,X4)),skaf82(skaf47(X3,X4))))) ),
inference(superposition,[status(thm)],[c_11008,c_428]) ).
tcf(c_153200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(skaf83(skaf47(X1,X2)))
| ~ ssList(skaf82(skaf47(X1,X2)))
| ~ ssList(app(app(X0,cons(skaf83(skaf47(X1,X2)),X3)),skaf47(X1,X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf47(X1,X2)),X3)),cons(skaf83(skaf47(X1,X2)),skaf82(skaf47(X1,X2))))) ),
inference(superposition,[status(thm)],[c_11008,c_426]) ).
tcf(c_153201,plain,
! [X0: $i,X1: $i] :
( memberP(skaf47(X0,X1),skaf83(skaf47(X0,X1)))
| ( skaf47(X0,X1) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153164,c_259,c_260]) ).
tcf(c_153204,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf82(skaf47(X0,X1)) != skaf47(X0,X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153185,c_259,c_260]) ).
tcf(c_153207,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,skaf82(skaf47(X0,X1)))
| ( skaf47(X0,X1) = nil )
| ~ frontsegP(iPr_def_14,skaf47(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153175,c_259,c_260]) ).
tcf(c_153211,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,skaf82(skaf47(X0,X1)))
| ( skaf47(X0,X1) = nil )
| ~ frontsegP(iPr_def_12,skaf47(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153174,c_259,c_260]) ).
tcf(c_153215,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf83(skaf47(X0,X1)) = sk6 )
| ~ frontsegP(skaf47(X0,X1),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153173,c_259,c_260]) ).
tcf(c_153219,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf83(skaf47(X0,X1)) = sk5 )
| ~ frontsegP(skaf47(X0,X1),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153172,c_259,c_260]) ).
tcf(c_153223,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf83(skaf47(X0,X1)) = sk6 )
| ~ frontsegP(iPr_def_14,skaf47(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153171,c_259,c_260]) ).
tcf(c_153227,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf83(skaf47(X0,X1)) = sk5 )
| ~ frontsegP(iPr_def_12,skaf47(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153170,c_259,c_260]) ).
tcf(c_153231,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf83(skaf47(X0,X1)) = sk6 )
| ( skaf47(X0,X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153169,c_259,c_260]) ).
tcf(c_153235,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf83(skaf47(X0,X1)) = sk5 )
| ( skaf47(X0,X1) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153168,c_259,c_260]) ).
tcf(c_153239,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf82(skaf47(X0,X1)) = nil )
| ( skaf47(X0,X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153167,c_259,c_260]) ).
tcf(c_153243,plain,
! [X0: $i,X1: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf82(skaf47(X0,X1)) = nil )
| ( skaf47(X0,X1) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153166,c_259,c_260]) ).
tcf(c_153247,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf47(X0,X1),X2)
| ( skaf47(X0,X1) = nil )
| ~ ssItem(X2)
| ~ memberP(skaf82(skaf47(X0,X1)),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153194,c_259,c_260]) ).
tcf(c_153252,plain,
! [X0: $i,X1: $i] :
( strictorderedP(skaf82(skaf47(X0,X1)))
| ( skaf47(X0,X1) = nil )
| ( skaf82(skaf47(X0,X1)) = nil )
| ~ strictorderedP(skaf47(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153184,c_259,c_260]) ).
tcf(c_153257,plain,
! [X0: $i,X1: $i] :
( totalorderedP(skaf82(skaf47(X0,X1)))
| ( skaf47(X0,X1) = nil )
| ( skaf82(skaf47(X0,X1)) = nil )
| ~ totalorderedP(skaf47(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153183,c_259,c_260]) ).
tcf(c_153262,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(skaf47(X0,X1),cons(skaf83(skaf47(X0,X1)),X2))
| ( skaf47(X0,X1) = nil )
| ~ ssList(X2)
| ~ frontsegP(skaf82(skaf47(X0,X1)),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153193,c_259,c_260]) ).
tcf(c_153267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X1,skaf82(skaf47(X2,X3)))
| ( skaf47(X2,X3) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf47(X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153192,c_259,c_260]) ).
tcf(c_153273,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(cons(skaf83(skaf47(X1,X2)),X0),skaf47(X1,X2))
| ( skaf47(X1,X2) = nil )
| ~ ssList(X0)
| ~ frontsegP(X0,skaf82(skaf47(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153187,c_259,c_260]) ).
tcf(c_153278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(skaf82(skaf47(X0,X1)),X3)
| ( skaf47(X0,X1) = nil )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ frontsegP(skaf47(X0,X1),cons(X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153179,c_259,c_260]) ).
tcf(c_153284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X2,X3) = nil )
| ( skaf83(skaf47(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),skaf47(X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153191,c_259,c_260]) ).
tcf(c_153290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X0,X1) = nil )
| ( skaf83(skaf47(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ frontsegP(skaf47(X0,X1),cons(X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153178,c_259,c_260]) ).
tcf(c_153296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X2,X3) = nil )
| ( skaf83(skaf47(X2,X3)) = X0 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf47(X2,X3) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153190,c_259,c_260]) ).
tcf(c_153302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X2,X3) = nil )
| ( skaf82(skaf47(X2,X3)) = X1 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != skaf47(X2,X3) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153189,c_259,c_260]) ).
tcf(c_153308,plain,
! [X0: $i,X1: $i] :
( lt(skaf83(skaf47(X0,X1)),hd(skaf82(skaf47(X0,X1))))
| ( skaf47(X0,X1) = nil )
| ( skaf82(skaf47(X0,X1)) = nil )
| ~ strictorderedP(skaf47(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153182,c_259,c_260]) ).
tcf(c_153313,plain,
! [X0: $i,X1: $i] :
( leq(skaf83(skaf47(X0,X1)),hd(skaf82(skaf47(X0,X1))))
| ( skaf47(X0,X1) = nil )
| ( skaf82(skaf47(X0,X1)) = nil )
| ~ totalorderedP(skaf47(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153181,c_259,c_260]) ).
tcf(c_153318,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(skaf82(skaf47(X0,X1)),X2)
| ( skaf47(X0,X1) = nil )
| ( skaf83(skaf47(X0,X1)) = X2 )
| ~ ssItem(X2)
| ~ memberP(skaf47(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153180,c_259,c_260]) ).
tcf(c_153324,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,skaf47(X1,X2)),skaf83(skaf47(X1,X2)))
| ( skaf47(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(skaf83(skaf47(X1,X2)),skaf82(skaf47(X1,X2))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153163,c_259,c_260]) ).
tcf(c_153329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X2,X3) = nil )
| ( skaf83(skaf47(X2,X3)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,skaf47(X2,X3))))
| ~ equalelemsP(app(X0,cons(X1,cons(skaf83(skaf47(X2,X3)),skaf82(skaf47(X2,X3)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153188,c_259,c_260]) ).
tcf(c_153336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(skaf83(skaf47(X1,X2)),X3)),skaf47(X1,X2)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf47(X1,X2)),X3)),cons(skaf83(skaf47(X1,X2)),skaf82(skaf47(X1,X2))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153200,c_259,c_260]) ).
tcf(c_153342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( skaf47(X1,X2) = nil )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(skaf83(skaf47(X1,X2)),X3)))
| ~ duplicatefreeP(app(app(X0,cons(skaf83(skaf47(X1,X2)),skaf82(skaf47(X1,X2)))),cons(skaf83(skaf47(X1,X2)),X3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153162,c_259,c_260]) ).
tcf(c_153348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,skaf83(skaf47(X3,X4)))
| ( skaf47(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf47(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf47(X3,X4)),skaf82(skaf47(X3,X4))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153199,c_259,c_260]) ).
tcf(c_153356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,skaf83(skaf47(X3,X4)))
| ( skaf47(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf47(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf47(X3,X4)),skaf82(skaf47(X3,X4))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153198,c_259,c_260]) ).
tcf(c_153364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(skaf83(skaf47(X1,X2)),X3)
| ( skaf47(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(skaf83(skaf47(X1,X2)),skaf82(skaf47(X1,X2)))),cons(X3,X4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153161,c_259,c_260]) ).
tcf(c_153372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(skaf83(skaf47(X1,X2)),X3)
| ( skaf47(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(X3,X4)))
| ~ totalorderedP(app(app(X0,cons(skaf83(skaf47(X1,X2)),skaf82(skaf47(X1,X2)))),cons(X3,X4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153160,c_259,c_260]) ).
tcf(c_153380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,skaf83(skaf47(X3,X4)))
| lt(skaf83(skaf47(X3,X4)),X1)
| ( skaf47(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf47(X3,X4)))
| ~ strictorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf47(X3,X4)),skaf82(skaf47(X3,X4))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153197,c_259,c_260]) ).
tcf(c_153389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,skaf83(skaf47(X3,X4)))
| leq(skaf83(skaf47(X3,X4)),X1)
| ( skaf47(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf47(X3,X4)))
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf47(X3,X4)),skaf82(skaf47(X3,X4))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153196,c_259,c_260]) ).
tcf(c_153398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X3,skaf83(skaf47(X1,X2)))
| lt(skaf83(skaf47(X1,X2)),X3)
| ( skaf47(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(X3,X4)))
| ~ strictorderP(app(app(X0,cons(skaf83(skaf47(X1,X2)),skaf82(skaf47(X1,X2)))),cons(X3,X4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153159,c_259,c_260]) ).
tcf(c_153407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X3,skaf83(skaf47(X1,X2)))
| leq(skaf83(skaf47(X1,X2)),X3)
| ( skaf47(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(X3,X4)))
| ~ totalorderP(app(app(X0,cons(skaf83(skaf47(X1,X2)),skaf82(skaf47(X1,X2)))),cons(X3,X4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153158,c_259,c_260]) ).
tcf(c_153416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf47(X3,X4) = nil )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,skaf83(skaf47(X3,X4)))
| ~ leq(skaf83(skaf47(X3,X4)),X1)
| ~ ssList(app(app(X0,cons(X1,X2)),skaf47(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(X1,X2)),cons(skaf83(skaf47(X3,X4)),skaf82(skaf47(X3,X4))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153195,c_259,c_260]) ).
tcf(c_153425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( skaf47(X1,X2) = nil )
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ leq(X3,skaf83(skaf47(X1,X2)))
| ~ leq(skaf83(skaf47(X1,X2)),X3)
| ~ ssList(app(app(X0,skaf47(X1,X2)),cons(X3,X4)))
| ~ cyclefreeP(app(app(X0,cons(skaf83(skaf47(X1,X2)),skaf82(skaf47(X1,X2)))),cons(X3,X4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153157,c_259,c_260]) ).
tcf(c_153541,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk7,sk8)),sk8),X0) = app(app(sk4,app(sk7,sk8)),app(sk8,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_152637,c_16217]) ).
tcf(c_153542,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk7,sk8)),sk7),X0) = app(app(sk4,app(sk7,sk8)),app(sk7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_152637,c_16216]) ).
tcf(c_153543,plain,
! [X0: $i] :
( ( app(app(app(sk4,app(sk7,sk8)),sk4),X0) = app(app(sk4,app(sk7,sk8)),app(sk4,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_152637,c_16215]) ).
tcf(c_153544,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,app(sk4,app(sk7,sk8)))) = app(cons(X1,X0),app(sk4,app(sk7,sk8))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_152637,c_404]) ).
tcf(c_153545,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,app(sk4,app(sk7,sk8))),X0) = app(X1,app(app(sk4,app(sk7,sk8)),X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_152637,c_396]) ).
tcf(c_153546,plain,
! [X0: $i] :
( ( app(sk4,app(sk7,sk8)) = nil )
| ( app(tl(app(sk4,app(sk7,sk8))),X0) = tl(app(app(sk4,app(sk7,sk8)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_152637,c_380]) ).
tcf(c_153547,plain,
! [X0: $i] :
( ( app(sk4,app(sk7,sk8)) = nil )
| ( hd(app(app(sk4,app(sk7,sk8)),X0)) = hd(app(sk4,app(sk7,sk8))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_152637,c_370]) ).
tcf(c_153548,plain,
cons(sk6,app(app(sk4,app(sk7,sk8)),sk7)) = app(cons(sk6,app(sk4,app(sk7,sk8))),sk7),
inference(superposition,[status(thm)],[c_152637,c_122890]) ).
tcf(c_153549,plain,
hd(app(iPr_def_12,app(sk4,app(sk7,sk8)))) = sk5,
inference(superposition,[status(thm)],[c_152637,c_11944]) ).
tcf(c_153550,plain,
cons(sk5,app(app(sk4,app(sk7,sk8)),sk7)) = app(cons(sk5,app(sk4,app(sk7,sk8))),sk7),
inference(superposition,[status(thm)],[c_152637,c_122889]) ).
tcf(c_153551,plain,
hd(app(iPr_def_14,app(sk4,app(sk7,sk8)))) = sk6,
inference(superposition,[status(thm)],[c_152637,c_11940]) ).
tcf(c_153552,plain,
hd(cons(skac2,app(sk4,app(sk7,sk8)))) = skac2,
inference(superposition,[status(thm)],[c_152637,c_10021]) ).
tcf(c_153553,plain,
hd(cons(skac3,app(sk4,app(sk7,sk8)))) = skac3,
inference(superposition,[status(thm)],[c_152637,c_10020]) ).
tcf(c_153554,plain,
tl(cons(skac2,app(sk4,app(sk7,sk8)))) = app(sk4,app(sk7,sk8)),
inference(superposition,[status(thm)],[c_152637,c_9891]) ).
tcf(c_153555,plain,
cons(sk6,app(app(sk4,app(sk7,sk8)),sk4)) = app(cons(sk6,app(sk4,app(sk7,sk8))),sk4),
inference(superposition,[status(thm)],[c_152637,c_64778]) ).
tcf(c_153556,plain,
cons(sk5,app(app(sk4,app(sk7,sk8)),sk4)) = app(cons(sk5,app(sk4,app(sk7,sk8))),sk4),
inference(superposition,[status(thm)],[c_152637,c_64777]) ).
tcf(c_153557,plain,
tl(cons(skac3,app(sk4,app(sk7,sk8)))) = app(sk4,app(sk7,sk8)),
inference(superposition,[status(thm)],[c_152637,c_9890]) ).
tcf(c_153558,plain,
app(app(sk8,sk8),app(sk4,app(sk7,sk8))) = app(sk8,app(sk8,app(sk4,app(sk7,sk8)))),
inference(superposition,[status(thm)],[c_152637,c_56349]) ).
tcf(c_153559,plain,
app(app(sk7,sk8),app(sk4,app(sk7,sk8))) = app(sk7,app(sk8,app(sk4,app(sk7,sk8)))),
inference(superposition,[status(thm)],[c_152637,c_56348]) ).
tcf(c_153560,plain,
app(app(sk4,sk8),app(sk4,app(sk7,sk8))) = app(sk4,app(sk8,app(sk4,app(sk7,sk8)))),
inference(superposition,[status(thm)],[c_152637,c_56347]) ).
tcf(c_153561,plain,
app(app(sk8,sk7),app(sk4,app(sk7,sk8))) = app(sk8,app(sk7,app(sk4,app(sk7,sk8)))),
inference(superposition,[status(thm)],[c_152637,c_45540]) ).
tcf(c_153562,plain,
app(app(sk7,sk7),app(sk4,app(sk7,sk8))) = app(sk7,app(sk7,app(sk4,app(sk7,sk8)))),
inference(superposition,[status(thm)],[c_152637,c_45539]) ).
tcf(c_153563,plain,
app(app(sk4,sk7),app(sk4,app(sk7,sk8))) = app(sk4,app(sk7,app(sk4,app(sk7,sk8)))),
inference(superposition,[status(thm)],[c_152637,c_45538]) ).
tcf(c_153564,plain,
app(app(sk8,sk4),app(sk4,app(sk7,sk8))) = app(sk8,app(sk4,app(sk4,app(sk7,sk8)))),
inference(superposition,[status(thm)],[c_152637,c_37633]) ).
tcf(c_153565,plain,
app(app(sk7,sk4),app(sk4,app(sk7,sk8))) = app(sk7,app(sk4,app(sk4,app(sk7,sk8)))),
inference(superposition,[status(thm)],[c_152637,c_37632]) ).
tcf(c_153566,plain,
app(app(sk4,sk4),app(sk4,app(sk7,sk8))) = app(sk4,app(sk4,app(sk4,app(sk7,sk8)))),
inference(superposition,[status(thm)],[c_152637,c_37631]) ).
tcf(c_153567,plain,
( ( sk8 = nil )
| ( app(tl(sk8),app(sk4,app(sk7,sk8))) = tl(app(sk8,app(sk4,app(sk7,sk8)))) ) ),
inference(superposition,[status(thm)],[c_152637,c_14611]) ).
tcf(c_153568,plain,
( ( sk7 = nil )
| ( app(tl(sk7),app(sk4,app(sk7,sk8))) = tl(app(sk7,app(sk4,app(sk7,sk8)))) ) ),
inference(superposition,[status(thm)],[c_152637,c_14610]) ).
tcf(c_153569,plain,
( ( sk4 = nil )
| ( app(tl(sk4),app(sk4,app(sk7,sk8))) = tl(app(sk4,app(sk4,app(sk7,sk8)))) ) ),
inference(superposition,[status(thm)],[c_152637,c_14609]) ).
tcf(c_153570,plain,
( ( sk8 = nil )
| ( hd(app(sk8,app(sk4,app(sk7,sk8)))) = hd(sk8) ) ),
inference(superposition,[status(thm)],[c_152637,c_11903]) ).
tcf(c_153571,plain,
( ( sk7 = nil )
| ( hd(app(sk7,app(sk4,app(sk7,sk8)))) = hd(sk7) ) ),
inference(superposition,[status(thm)],[c_152637,c_11902]) ).
tcf(c_153572,plain,
( ( sk4 = nil )
| ( hd(app(sk4,app(sk4,app(sk7,sk8)))) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_152637,c_11901]) ).
tcf(c_153573,plain,
( cyclefreeP(app(sk4,app(sk7,sk8)))
| ( app(app(skaf51(app(sk4,app(sk7,sk8))),cons(skaf49(app(sk4,app(sk7,sk8))),skaf52(app(sk4,app(sk7,sk8))))),cons(skaf50(app(sk4,app(sk7,sk8))),skaf53(app(sk4,app(sk7,sk8))))) = app(sk4,app(sk7,sk8)) ) ),
inference(superposition,[status(thm)],[c_152637,c_414]) ).
tcf(c_153574,plain,
( totalorderP(app(sk4,app(sk7,sk8)))
| ( app(app(skaf56(app(sk4,app(sk7,sk8))),cons(skaf54(app(sk4,app(sk7,sk8))),skaf57(app(sk4,app(sk7,sk8))))),cons(skaf55(app(sk4,app(sk7,sk8))),skaf58(app(sk4,app(sk7,sk8))))) = app(sk4,app(sk7,sk8)) ) ),
inference(superposition,[status(thm)],[c_152637,c_413]) ).
tcf(c_153575,plain,
( strictorderP(app(sk4,app(sk7,sk8)))
| ( app(app(skaf61(app(sk4,app(sk7,sk8))),cons(skaf59(app(sk4,app(sk7,sk8))),skaf62(app(sk4,app(sk7,sk8))))),cons(skaf60(app(sk4,app(sk7,sk8))),skaf63(app(sk4,app(sk7,sk8))))) = app(sk4,app(sk7,sk8)) ) ),
inference(superposition,[status(thm)],[c_152637,c_412]) ).
tcf(c_153576,plain,
( totalorderedP(app(sk4,app(sk7,sk8)))
| ( app(app(skaf66(app(sk4,app(sk7,sk8))),cons(skaf64(app(sk4,app(sk7,sk8))),skaf67(app(sk4,app(sk7,sk8))))),cons(skaf65(app(sk4,app(sk7,sk8))),skaf68(app(sk4,app(sk7,sk8))))) = app(sk4,app(sk7,sk8)) ) ),
inference(superposition,[status(thm)],[c_152637,c_411]) ).
tcf(c_153577,plain,
( strictorderedP(app(sk4,app(sk7,sk8)))
| ( app(app(skaf71(app(sk4,app(sk7,sk8))),cons(skaf69(app(sk4,app(sk7,sk8))),skaf72(app(sk4,app(sk7,sk8))))),cons(skaf70(app(sk4,app(sk7,sk8))),skaf73(app(sk4,app(sk7,sk8))))) = app(sk4,app(sk7,sk8)) ) ),
inference(superposition,[status(thm)],[c_152637,c_410]) ).
tcf(c_153578,plain,
( duplicatefreeP(app(sk4,app(sk7,sk8)))
| ( app(app(skaf75(app(sk4,app(sk7,sk8))),cons(skaf74(app(sk4,app(sk7,sk8))),skaf76(app(sk4,app(sk7,sk8))))),cons(skaf74(app(sk4,app(sk7,sk8))),skaf77(app(sk4,app(sk7,sk8))))) = app(sk4,app(sk7,sk8)) ) ),
inference(superposition,[status(thm)],[c_152637,c_409]) ).
tcf(c_153579,plain,
( equalelemsP(app(sk4,app(sk7,sk8)))
| ( app(skaf80(app(sk4,app(sk7,sk8))),cons(skaf78(app(sk4,app(sk7,sk8))),cons(skaf79(app(sk4,app(sk7,sk8))),skaf81(app(sk4,app(sk7,sk8)))))) = app(sk4,app(sk7,sk8)) ) ),
inference(superposition,[status(thm)],[c_152637,c_389]) ).
tcf(c_153580,plain,
hd(cons(sk6,app(sk4,app(sk7,sk8)))) = sk6,
inference(superposition,[status(thm)],[c_152637,c_10017]) ).
tcf(c_153581,plain,
( ( app(sk4,app(sk7,sk8)) = nil )
| ( cons(skaf83(app(sk4,app(sk7,sk8))),skaf82(app(sk4,app(sk7,sk8)))) = app(sk4,app(sk7,sk8)) ) ),
inference(superposition,[status(thm)],[c_152637,c_356]) ).
tcf(c_153582,plain,
( ( app(sk4,app(sk7,sk8)) = nil )
| ( cons(hd(app(sk4,app(sk7,sk8))),tl(app(sk4,app(sk7,sk8)))) = app(sk4,app(sk7,sk8)) ) ),
inference(superposition,[status(thm)],[c_152637,c_351]) ).
tcf(c_153583,plain,
hd(cons(sk5,app(sk4,app(sk7,sk8)))) = sk5,
inference(superposition,[status(thm)],[c_152637,c_10016]) ).
tcf(c_153584,plain,
tl(cons(sk6,app(sk4,app(sk7,sk8)))) = app(sk4,app(sk7,sk8)),
inference(superposition,[status(thm)],[c_152637,c_9887]) ).
tcf(c_153585,plain,
tl(cons(sk5,app(sk4,app(sk7,sk8)))) = app(sk4,app(sk7,sk8)),
inference(superposition,[status(thm)],[c_152637,c_9886]) ).
tcf(c_153586,plain,
( duplicatefreeP(app(sk4,app(sk7,sk8)))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_152637,c_6471]) ).
tcf(c_153587,plain,
app(nil,app(sk4,app(sk7,sk8))) = app(sk4,app(sk7,sk8)),
inference(superposition,[status(thm)],[c_152637,c_321]) ).
tcf(c_153588,plain,
app(app(sk4,app(sk7,sk8)),nil) = app(sk4,app(sk7,sk8)),
inference(superposition,[status(thm)],[c_152637,c_320]) ).
tcf(c_153808,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_153588,c_153587,c_153586,c_153585,c_153584,c_153583,c_153582,c_153581,c_153580,c_153579,c_153578,c_153577,c_153576,c_153575,c_153574,c_153573,c_153572,c_153571,c_153570,c_153569,c_153568,c_153567,c_153566,c_153565,c_153564,c_153563,c_153562,c_153561,c_153560,c_153559,c_153558,c_153557,c_153556,c_153555,c_153554,c_153553,c_153552,c_153551,c_153550,c_153549,c_153548,c_153547,c_153546,c_153545,c_153544,c_153543,c_153542,c_153541,c_153425,c_153416,c_153407,c_153398,c_153389,c_153380,c_153372,c_153364,c_153356,c_153348,c_153342,c_153336,c_153329,c_153324,c_153318,c_153313,c_153308,c_153302,c_153296,c_153290,c_153284,c_153278,c_153273,c_153267,c_153262,c_153257,c_153252,c_153247,c_153243,c_153239,c_153235,c_153231,c_153227,c_153223,c_153219,c_153215,c_153211,c_153207,c_153204,c_153201,c_153200,c_153199,c_153198,c_153197,c_153196,c_153195,c_153194,c_153193,c_153192,c_153191,c_153188,c_153187,c_153185,c_153184,c_153183,c_153182,c_153181,c_153180,c_153179,c_153178,c_153190,c_153189,c_153175,c_153174,c_153173,c_153172,c_153171,c_153170,c_153169,c_153168,c_153167,c_153166,c_153164,c_153163,c_153162,c_153161,c_153160,c_153159,c_153158,c_153157,c_153144,c_153142,c_153130,c_153126,c_153122,c_153118,c_153114,c_153110,c_153106,c_153102,c_153098,c_153095,c_153092,c_153089,c_153086,c_153082,c_153078,c_153074,c_153071,c_153068,c_153064,c_153060,c_153056,c_153050,c_153046,c_153041,c_153038,c_153035,c_153032,c_153029,c_153026,c_153025,c_153024,c_153023,c_153022,c_153021,c_153020,c_153019,c_153018,c_153017,c_153016,c_153015,c_153014,c_153013,c_153012,c_153004,c_153003,c_153002,c_153001,c_153000,c_152999,c_152998,c_152997,c_152996,c_152995,c_152994,c_152993,c_152992,c_152991,c_152990,c_152978,c_152975,c_152971,c_152970,c_152969,c_152968,c_152799,c_152796,c_152793,c_152786,c_152785,c_152784,c_152783,c_152773,c_152772,c_152771,c_152770,c_152769,c_152768,c_152767,c_152766,c_152765,c_152764,c_152763,c_152762,c_152761,c_152760,c_152759,c_152758,c_152757,c_152756,c_152755,c_152754,c_152753,c_152752,c_152751,c_152750,c_152749,c_152748,c_152747,c_152746,c_152745,c_152744,c_152743,c_152742,c_152741,c_152740,c_152739,c_152738,c_152737,c_152736,c_152735,c_152734,c_152733,c_152732,c_152731,c_152730,c_152729,c_152728,c_152727,c_152648,c_152647,c_152646,c_152643,c_152642,c_152641,c_152640,c_152639,c_152638,c_152637,c_152636,c_152635,c_152633,c_152632,c_152628,c_152627,c_152622,c_152618,c_152614,c_152609,c_152605,c_152601,c_152598,c_152594,c_152590,c_152587,c_152584,c_152581,c_152580,c_152579,c_152575,c_152571,c_152570,c_152569,c_152568,c_152567,c_152566,c_152565,c_152564,c_152563,c_152562,c_152560,c_152559,c_152558,c_152557,c_152556,c_152555,c_152554,c_152561,c_152551,c_152550,c_152552,c_152533,c_152532,c_152516,c_152515,c_152499,c_152498,c_152482,c_152481,c_152464,c_152461,c_152441,c_152438,c_152239,c_152230,c_152221,c_152212,c_152203,c_152194,c_152186,c_152178,c_152170,c_152162,c_152156,c_152150,c_152143,c_152138,c_152132,c_152127,c_152122,c_152116,c_152110,c_152104,c_152098,c_152092,c_152087,c_152081,c_152076,c_152071,c_152066,c_152061,c_152057,c_152053,c_152049,c_152045,c_152041,c_152037,c_152033,c_152029,c_152025,c_152021,c_152018,c_152015,c_152014,c_152013,c_152012,c_152011,c_152010,c_152009,c_152008,c_152007,c_152006,c_152005,c_152002,c_152001,c_151999,c_151998,c_151997,c_151996,c_151995,c_151994,c_151993,c_151992,c_152004,c_152003,c_151989,c_151988,c_151987,c_151986,c_151985,c_151984,c_151983,c_151982,c_151981,c_151980,c_151978,c_151977,c_151976,c_151975,c_151974,c_151973,c_151972,c_151971,c_151966,c_151965,c_151860,c_151856,c_151852,c_151848,c_151844,c_151840,c_151836,c_151832,c_151828,c_151824,c_151820,c_151815,c_151811,c_151807,c_151803,c_151799,c_151795,c_151791,c_151790,c_151789,c_151788,c_151787,c_151786,c_151785,c_151784,c_151783,c_151782,c_151770,c_151769,c_151768,c_151767,c_151766,c_151765,c_151764,c_151763,c_151762,c_151737,c_151735,c_151644,c_151643,c_151636,c_151635,c_151628,c_151627,c_151621,c_151620,c_151614,c_151613,c_151609,c_151608,c_151603,c_151602,c_151597,c_151592,c_151586,c_151580,c_151575,c_151570,c_151565,c_151560,c_151557,c_151554,c_151552,c_151551,c_151550,c_151549,c_151548,c_151547,c_151546,c_151545,c_151544,c_151542,c_151541,c_151540,c_151539,c_151536,c_151543,c_151533,c_151534,c_151469,c_151468,c_151461,c_151460,c_151453,c_151452,c_151446,c_151445,c_151439,c_151438,c_151434,c_151433,c_151428,c_151427,c_151422,c_151417,c_151411,c_151405,c_151400,c_151395,c_151390,c_151385,c_151382,c_151379,c_151377,c_151376,c_151375,c_151374,c_151373,c_151372,c_151371,c_151370,c_151369,c_151367,c_151366,c_151365,c_151364,c_151361,c_151368,c_151358,c_151359,c_151340,c_151339,c_151323,c_151322,c_151321,c_151319,c_151318,c_151317,c_151316,c_151315,c_151303,c_151301,c_151279,c_151276,c_151079,c_151070,c_151061,c_151052,c_151043,c_151034,c_151026,c_151018,c_151010,c_151002,c_150996,c_150990,c_150983,c_150978,c_150972,c_150966,c_150960,c_150954,c_150948,c_150942,c_150937,c_150932,c_150926,c_150921,c_150916,c_150911,c_150906,c_150901,c_150897,c_150893,c_150889,c_150885,c_150881,c_150877,c_150873,c_150869,c_150865,c_150861,c_150858,c_150855,c_150854,c_150853,c_150852,c_150851,c_150850,c_150849,c_150848,c_150847,c_150846,c_150845,c_150842,c_150841,c_150839,c_150838,c_150837,c_150836,c_150835,c_150834,c_150833,c_150832,c_150844,c_150843,c_150829,c_150828,c_150827,c_150826,c_150825,c_150824,c_150823,c_150822,c_150821,c_150820,c_150818,c_150817,c_150816,c_150815,c_150814,c_150813,c_150812,c_150811,c_150761,c_150757,c_150753,c_150749,c_150745,c_150741,c_150737,c_150733,c_150729,c_150725,c_150721,c_150716,c_150712,c_150708,c_150704,c_150700,c_150696,c_150692,c_150691,c_150690,c_150689,c_150688,c_150687,c_150686,c_150685,c_150684,c_150683,c_150671,c_150670,c_150669,c_150668,c_150667,c_150666,c_150665,c_150664,c_150663,c_150402,c_150398,c_150394,c_150390,c_150386,c_150382,c_150378,c_150374,c_150370,c_150366,c_150362,c_150357,c_150353,c_150349,c_150345,c_150341,c_150337,c_150333,c_150332,c_150331,c_150330,c_150329,c_150328,c_150327,c_150326,c_150325,c_150324,c_150312,c_150311,c_150310,c_150309,c_150308,c_150307,c_150306,c_150305,c_150304,c_150265,c_150264,c_150261,c_150260,c_150259,c_150258,c_150243,c_150242,c_150239,c_150238,c_150237,c_150236,c_150235,c_150234,c_150232,c_150231,c_150230,c_150229,c_150228,c_150208,c_150205,c_150198,c_150195,c_150194,c_150193,c_150001,c_149992,c_149983,c_149974,c_149965,c_149956,c_149948,c_149940,c_149932,c_149924,c_149918,c_149912,c_149905,c_149900,c_149894,c_149888,c_149882,c_149876,c_149870,c_149864,c_149859,c_149854,c_149848,c_149843,c_149838,c_149833,c_149828,c_149823,c_149819,c_149815,c_149811,c_149807,c_149803,c_149799,c_149795,c_149791,c_149787,c_149783,c_149780,c_149777,c_149776,c_149775,c_149774,c_149773,c_149772,c_149771,c_149770,c_149769,c_149768,c_149767,c_149764,c_149763,c_149761,c_149760,c_149759,c_149758,c_149757,c_149756,c_149755,c_149754,c_149766,c_149765,c_149751,c_149750,c_149749,c_149748,c_149747,c_149746,c_149745,c_149744,c_149743,c_149742,c_149740,c_149739,c_149738,c_149737,c_149736,c_149735,c_149734,c_149733,c_149716,c_149713,c_149712,c_149711,c_149710,c_149709,c_149694,c_149222,c_149218,c_149214,c_149210,c_149206,c_149202,c_149198,c_149194,c_149190,c_149186,c_149182,c_149177,c_149173,c_149169,c_149165,c_149161,c_149157,c_149153,c_149152,c_149151,c_149150,c_149149,c_149148,c_149147,c_149146,c_149145,c_149144,c_149143,c_149142,c_149141,c_149140,c_149128,c_149127,c_149126,c_149125,c_149124,c_149088,c_149084,c_149083,c_149082,c_149081,c_149073,c_149069,c_149068,c_149067,c_149066,c_149058,c_149054,c_149053,c_149052,c_149051,c_149043,c_149039,c_149038,c_149037,c_149036,c_149029,c_149028,c_148982,c_148979,c_148978,c_148977,c_148976,c_148975,c_148961,c_148958,c_148957,c_148956,c_148955,c_148954,c_148942,c_148941,c_148803,c_148794,c_148785,c_148776,c_148767,c_148758,c_148750,c_148742,c_148734,c_148726,c_148720,c_148714,c_148707,c_148702,c_148696,c_148690,c_148684,c_148678,c_148672,c_148666,c_148661,c_148656,c_148650,c_148645,c_148640,c_148635,c_148630,c_148625,c_148621,c_148617,c_148613,c_148609,c_148605,c_148601,c_148597,c_148593,c_148589,c_148585,c_148582,c_148579,c_148578,c_148577,c_148576,c_148575,c_148574,c_148573,c_148572,c_148571,c_148570,c_148569,c_148566,c_148565,c_148563,c_148562,c_148561,c_148560,c_148559,c_148558,c_148557,c_148556,c_148568,c_148567,c_148553,c_148552,c_148551,c_148550,c_148549,c_148548,c_148547,c_148546,c_148545,c_148544,c_148542,c_148541,c_148540,c_148539,c_148538,c_148537,c_148536,c_148535,c_148523,c_148520,c_148516,c_148515,c_148514,c_148513,c_148220,c_148216,c_148212,c_148207,c_148203,c_148199,c_148195,c_148192,c_148189,c_148187,c_148186,c_148185,c_148184,c_148183,c_148181,c_148180,c_148178,c_148175,c_148182,c_148172,c_148173,c_148168,c_148162,c_148156,c_148155,c_148154,c_148037,c_148032,c_148025,c_148018,c_148015,c_148011,c_148007,c_148004,c_148001,c_147998,c_147995,c_147992,c_147989,c_147986,c_147983,c_147979,c_147975,c_147971,c_147965,c_147962,c_147959,c_147956,c_147953,c_147950,c_147947,c_147946,c_147945,c_147944,c_147943,c_147942,c_147941,c_147940,c_147939,c_147938,c_147937,c_147936,c_147935,c_147934,c_147933,c_147932,c_147931,c_147930,c_147918,c_147917,c_147916,c_147915,c_147914,c_147913,c_147912,c_147911,c_147903,c_147900,c_147896,c_147895,c_147894,c_147893,c_147825,c_147821,c_147817,c_147812,c_147808,c_147804,c_147800,c_147797,c_147794,c_147792,c_147791,c_147790,c_147789,c_147788,c_147786,c_147785,c_147783,c_147780,c_147787,c_147777,c_147778,c_147749,c_147748,c_147740,c_147739,c_147736,c_147735,c_147734,c_147733,c_147732,c_147731,c_147582,c_147573,c_147564,c_147555,c_147546,c_147537,c_147529,c_147521,c_147513,c_147505,c_147499,c_147493,c_147486,c_147481,c_147475,c_147469,c_147463,c_147457,c_147451,c_147445,c_147440,c_147435,c_147429,c_147424,c_147419,c_147414,c_147409,c_147404,c_147400,c_147396,c_147392,c_147388,c_147384,c_147380,c_147376,c_147372,c_147368,c_147364,c_147361,c_147358,c_147357,c_147356,c_147355,c_14735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,c_10660,c_10659,c_10658,c_10657,c_10656,c_10655,c_10654,c_10653,c_10652,c_10651,c_10650,c_10649,c_10565,c_10564,c_10563,c_10562,c_10561,c_10560,c_10559,c_10558,c_10557,c_10556,c_10555,c_10554,c_10553,c_10552,c_10551,c_10550,c_10549,c_10548,c_10547,c_10546,c_10545,c_10544,c_10543,c_10542,c_10541,c_10540,c_10539,c_10538,c_10537,c_10536,c_10535,c_10534,c_10533,c_10532,c_10531,c_10530,c_10529,c_10528,c_10518,c_10514,c_10513,c_10512,c_10475,c_10474,c_10473,c_10472,c_10346,c_10345,c_10344,c_10343,c_10342,c_10341,c_10340,c_10339,c_10338,c_10337,c_10336,c_10335,c_10334,c_10333,c_10332,c_10331,c_10330,c_10329,c_10328,c_10327,c_10326,c_10325,c_10324,c_10323,c_10322,c_10321,c_10320,c_10319,c_10318,c_10317,c_10316,c_10315,c_10314,c_10313,c_10312,c_10311,c_10310,c_10309,c_10308,c_10219,c_10218,c_10217,c_10216,c_10215,c_10214,c_10213,c_10212,c_10211,c_10210,c_10209,c_10208,c_10207,c_10206,c_10205,c_10204,c_10203,c_10202,c_10201,c_10200,c_10199,c_10198,c_10197,c_10196,c_10195,c_10194,c_10193,c_10192,c_10191,c_10190,c_10189,c_10188,c_10187,c_10186,c_10185,c_10184,c_10183,c_10182,c_10181,c_10150,c_10149,c_10148,c_10147,c_10138,c_10137,c_10136,c_10135,c_10132,c_10130,c_10037,c_10036,c_10035,c_10034,c_10033,c_10032,c_10031,c_10030,c_10029,c_10028,c_10027,c_10026,c_10025,c_10024,c_10023,c_10022,c_10021,c_10020,c_10019,c_10018,c_10017,c_10016,c_9907,c_9906,c_9905,c_9904,c_9903,c_9902,c_9901,c_9900,c_9899,c_9898,c_9897,c_9896,c_9895,c_9894,c_9893,c_9892,c_9891,c_9890,c_9889,c_9888,c_9887,c_9886,c_9874,c_24641,c_9872,c_24640,c_9870,c_9869,c_9868,c_9867,c_9852,c_9851,c_9850,c_9849,c_9830,c_9829,c_9828,c_9827,c_9826,c_9825,c_9824,c_9823,c_9822,c_9819,c_9818,c_9817,c_9816,c_9815,c_9814,c_9813,c_9812,c_9811,c_9810,c_9809,c_9808,c_9807,c_9806,c_9805,c_9804,c_9803,c_9802,c_9801,c_9800,c_9799,c_9798,c_9797,c_9796,c_9795,c_9794,c_9793,c_9792,c_9791,c_9790,c_9789,c_9788,c_9787,c_9786,c_9785,c_9784,c_9783,c_9782,c_9781,c_9766,c_9765,c_9764,c_9763,c_9762,c_9761,c_9760,c_9759,c_9758,c_9755,c_9754,c_9753,c_9752,c_9751,c_9750,c_9749,c_9748,c_9747,c_9746,c_9745,c_9744,c_9743,c_9742,c_9741,c_9740,c_9739,c_9738,c_9737,c_9736,c_9735,c_9734,c_9733,c_9732,c_9731,c_9730,c_9729,c_9728,c_9727,c_9726,c_9725,c_9724,c_9723,c_9722,c_9721,c_9720,c_9719,c_9718,c_9717,c_9709,c_9708,c_9707,c_9706,c_9531,c_9530,c_9529,c_9527,c_9518,c_9517,c_9515,c_9514,c_9489,c_9488,c_9487,c_9486,c_9485,c_9484,c_9483,c_9461,c_9457,c_9456,c_9455,c_9443,c_9442,c_9313,c_9312,c_9311,c_9310,c_9309,c_9308,c_9307,c_9306,c_9305,c_9304,c_9303,c_9302,c_9301,c_9300,c_9299,c_9298,c_9297,c_9296,c_9295,c_9294,c_9293,c_9292,c_9291,c_9290,c_9289,c_9288,c_9287,c_9286,c_9285,c_9283,c_9282,c_9281,c_9262,c_9261,c_9227,c_9226,c_9225,c_9224,c_9223,c_9222,c_9221,c_9220,c_9219,c_9218,c_9217,c_9216,c_9215,c_9214,c_9213,c_9212,c_9211,c_9210,c_9209,c_9208,c_9207,c_9206,c_9205,c_9204,c_9203,c_9202,c_9201,c_9200,c_9198,c_9197,c_9196,c_9183,c_9182,c_9181,c_9180,c_9175,c_9174,c_9173,c_9172,c_9167,c_9166,c_9165,c_9164,c_9132,c_9131,c_9130,c_9129,c_9128,c_9127,c_9126,c_9125,c_9124,c_9123,c_9122,c_9121,c_9120,c_9119,c_9118,c_9117,c_9116,c_9115,c_9114,c_9113,c_9112,c_9111,c_9110,c_9109,c_9108,c_9107,c_9106,c_9105,c_9103,c_9102,c_9101,c_9096,c_9095,c_9094,c_9093,c_9088,c_9087,c_9086,c_9085,c_9080,c_9079,c_9078,c_9077,c_9072,c_9071,c_9070,c_9069,c_9021,c_9020,c_6478,c_6477,c_6476,c_6475,c_6474,c_6473,c_6472,c_6471,c_6470,c_24639,c_808,c_807,c_559,c_557,c_555,c_553,c_432,c_431,c_430,c_429,c_428,c_427,c_426,c_425,c_424,c_423,c_422,c_421,c_420,c_385,c_363,c_419,c_418,c_417,c_416,c_415,c_414,c_413,c_412,c_411,c_410,c_409,c_408,c_407,c_406,c_405,c_404,c_403,c_402,c_401,c_400,c_399,c_398,c_397,c_396,c_395,c_394,c_393,c_389,c_388,c_387,c_386,c_384,c_383,c_382,c_381,c_380,c_379,c_378,c_377,c_376,c_375,c_374,c_373,c_372,c_371,c_370,c_369,c_367,c_366,c_365,c_361,c_357,c_356,c_355,c_354,c_353,c_352,c_351,c_350,c_348,c_346,c_345,c_344,c_343,c_342,c_341,c_340,c_339,c_338,c_337,c_336,c_335,c_334,c_333,c_332,c_331,c_329,c_327,c_325,c_324,c_321,c_320,c_318,c_317,c_316,c_315,c_314,c_313,c_312,c_311,c_358,c_309,c_308,c_307,c_306,c_305,c_304,c_303,c_302,c_301,c_300,c_299,c_298,c_297,c_296,c_295,c_294,c_293,c_292,c_291,c_290,c_289,c_288,c_287,c_286,c_285,c_284,c_283,c_282,c_281,c_280,c_279,c_278,c_277,c_276,c_275,c_274,c_273,c_272,c_271,c_270,c_269,c_268,c_267,c_266,c_265,c_264,c_263,c_262,c_261,c_260,c_259,c_258,c_257,c_256,c_255,c_254,c_253,c_252,c_251,c_250,c_249,c_248,c_6479,c_6480,c_6481,c_6482,c_6483,c_6484,c_6485,c_6486,c_6487]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC190-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 16:53:28 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.40 Running first-order theorem proving
% 0.03/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.41
% 0.03/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.41
% 0.03/0.41 % Detected problem language: tptp
% 0.03/0.43 % Proving...
% 59.49/15.41 % SZS status Started for theBenchmark.p
% 59.49/15.41 % SZS status Unsatisfiable for theBenchmark.p
% 59.49/15.41
% 59.49/15.41 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 59.49/15.41
% 59.49/15.41 % ------ iProver source info
% 59.49/15.41
% 59.49/15.41 % git: date: 2026-07-19 20:42:38 +0200
% 59.49/15.41 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 59.49/15.41 % git: non_committed_changes: false
% 59.49/15.41
% 59.49/15.41 % ------ Parsing...% successful
% 59.49/15.41
% 59.49/15.41
% 59.49/15.41 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 59.49/15.41
% 59.49/15.41 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 59.49/15.41
% 59.49/15.41 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 59.49/15.41
% 59.49/15.41 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 59.49/15.41 % ------ Proving...
% 59.49/15.41 % ------ Problem Properties
% 59.49/15.41
% 59.49/15.41 %
% 59.49/15.41 % clauses 192
% 59.49/15.41 % conjectures 10
% 59.49/15.41 % EPR 62
% 59.49/15.41 % Horn 164
% 59.49/15.41 % unary 72
% 59.49/15.41 % binary 21
% 59.49/15.41 % lits 558
% 59.49/15.41 % lits eq 77
% 59.49/15.41 % fd_pure 0
% 59.49/15.41 % fd_pseudo 0
% 59.49/15.41 % fd_cond 16
% 59.49/15.41 % fd_pseudo_cond 14
% 59.49/15.41 % AC symbols 0
% 59.49/15.41
% 59.49/15.41 % ------ Schedule dynamic 5 is on
% 59.49/15.41
% 59.49/15.41 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 59.49/15.41
% 59.49/15.41
% 59.49/15.41 % ------
% 59.49/15.41 % Current options:
% 59.49/15.41 % ------
% 59.49/15.41
% 59.49/15.41
% 59.49/15.41 %
% 59.49/15.41
% 59.49/15.41 % ------ Proving...
% 59.49/15.41 %
% 59.49/15.41
% 59.49/15.41 % SZS status Unsatisfiable for theBenchmark.p
% 59.49/15.41
% 59.49/15.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 108.26/16.02
% 108.26/16.02
%------------------------------------------------------------------------------