%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC187+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.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 03:08:29 PM UTC 2026
% Result : Theorem 61.77s 9.41s
% Output : CNFRefutation 61.77s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f546ERROR: Could not build tree for root c_94529ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax2) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(f6,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax6) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(f8,axiom,
! [X0] :
( ssList(X0)
=> ( cyclefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ~ ( leq(X2,X1)
& leq(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax8) ).
fof(f9,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ( leq(X2,X1)
| leq(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax9) ).
fof(f10,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ( lt(X2,X1)
| lt(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax10) ).
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> leq(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).
fof(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax12) ).
fof(f13,axiom,
! [X0] :
( ssList(X0)
=> ( duplicatefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> X1 != X2 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax13) ).
fof(f14,axiom,
! [X0] :
( ssList(X0)
=> ( equalelemsP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( app(X3,cons(X1,cons(X2,X4))) = X0
=> X1 = X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax14) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(f19,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( cons(X2,X0) = cons(X3,X1)
=> ( X1 = X0
& X2 = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax19) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f27,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax27) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(f29,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( leq(X1,X0)
& leq(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax29) ).
fof(f30,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax30) ).
fof(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax31) ).
fof(f32,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( geq(X0,X1)
<=> leq(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax32) ).
fof(f33,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
=> ~ lt(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax33) ).
fof(f34,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& lt(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax34) ).
fof(f35,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
<=> lt(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax35) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax39) ).
fof(f40,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( frontsegP(X1,X2)
& frontsegP(X0,X1) )
=> frontsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax40) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X1,X0)
& frontsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax41) ).
fof(f42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax42) ).
fof(f43,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X0,X1)
=> frontsegP(app(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax43) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax46) ).
fof(f47,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( rearsegP(X1,X2)
& rearsegP(X0,X1) )
=> rearsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax47) ).
fof(f48,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( rearsegP(X1,X0)
& rearsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax48) ).
fof(f49,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax49) ).
fof(f50,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X0,X1)
=> rearsegP(app(X2,X0),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax50) ).
fof(f51,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax51) ).
fof(f52,axiom,
! [X0] :
( ssList(X0)
=> ( rearsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax52) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X0,X1) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax53) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X1,X0)
& segmentP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax54) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax55) ).
fof(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax56) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(f59,axiom,
! [X0] :
( ssItem(X0)
=> cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax59) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax60) ).
fof(f61,axiom,
! [X0] :
( ssItem(X0)
=> totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax61) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax62) ).
fof(f63,axiom,
! [X0] :
( ssItem(X0)
=> strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax63) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax64) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax65) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax66) ).
fof(f67,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax67) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax68) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax69) ).
fof(f70,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax70) ).
fof(f71,axiom,
! [X0] :
( ssItem(X0)
=> duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax71) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax72) ).
fof(f73,axiom,
! [X0] :
( ssItem(X0)
=> equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax73) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax74) ).
fof(f75,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( hd(X0) = X1
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax75) ).
fof(f76,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax76) ).
fof(f77,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( tl(X1) = tl(X0)
& hd(X1) = hd(X0)
& nil != X0
& nil != X1 )
=> X1 = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax77) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax80) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(app(X0,X1)) = hd(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax85) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax86) ).
fof(f87,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( geq(X1,X0)
& geq(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax87) ).
fof(f88,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( geq(X1,X2)
& geq(X0,X1) )
=> geq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax88) ).
fof(f89,axiom,
! [X0] :
( ssItem(X0)
=> geq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax89) ).
fof(f91,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& leq(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax91) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax93) ).
fof(f94,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
=> ~ gt(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax94) ).
fof(f95,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax95) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X7] :
( ssItem(X7)
=> ( ~ memberP(X3,X7)
| cons(X7,nil) != X2 ) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( ( ~ memberP(X6,X4)
& ~ memberP(X5,X4) )
| app(app(X5,cons(X4,nil)),X6) != X0 ) ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X7] :
( ssItem(X7)
=> ( ~ memberP(X3,X7)
| cons(X7,nil) != X2 ) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( ( ~ memberP(X6,X4)
& ~ memberP(X5,X4) )
| app(app(X5,cons(X4,nil)),X6) != X0 ) ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f99,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f100,plain,
! [X0] :
( ~ ssList(X0)
| ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f101,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f102,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f103,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f104,plain,
! [X0] :
( ~ ssList(X0)
| ( cyclefreeP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ leq(X2,X1)
| ~ leq(X1,X2) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f105,plain,
! [X0] :
( ~ ssList(X0)
| ( cyclefreeP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ leq(X2,X1)
| ~ leq(X1,X2) ) ) ) ) ) ) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0] :
( ~ ssList(X0)
| ( totalorderP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| leq(X2,X1)
| leq(X1,X2) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f107,plain,
! [X0] :
( ~ ssList(X0)
| ( totalorderP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| leq(X2,X1)
| leq(X1,X2) ) ) ) ) ) ) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ~ ssList(X0)
| ( strictorderP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| lt(X2,X1)
| lt(X1,X2) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f109,plain,
! [X0] :
( ~ ssList(X0)
| ( strictorderP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| lt(X2,X1)
| lt(X1,X2) ) ) ) ) ) ) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0] :
( ~ ssList(X0)
| ( totalorderedP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| leq(X1,X2) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f111,plain,
! [X0] :
( ~ ssList(X0)
| ( totalorderedP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| leq(X1,X2) ) ) ) ) ) ) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0] :
( ~ ssList(X0)
| ( strictorderedP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| lt(X1,X2) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f113,plain,
! [X0] :
( ~ ssList(X0)
| ( strictorderedP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| lt(X1,X2) ) ) ) ) ) ) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ~ ssList(X0)
| ( duplicatefreeP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| X1 != X2 ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f115,plain,
! [X0] :
( ~ ssList(X0)
| ( duplicatefreeP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| X1 != X2 ) ) ) ) ) ) ),
inference(flattening,[],[f114]) ).
fof(f116,plain,
! [X0] :
( ~ ssList(X0)
| ( equalelemsP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| app(X3,cons(X1,cons(X2,X4))) != X0
| X1 = X2 ) ) ) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f117,plain,
! [X0] :
( ~ ssList(X0)
| ( equalelemsP(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| app(X3,cons(X1,cons(X2,X4))) != X0
| X1 = X2 ) ) ) ) ) ),
inference(flattening,[],[f116]) ).
fof(f119,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0)) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) != X0 ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f121,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssItem(X3)
| cons(X2,X0) != cons(X3,X1)
| ( X1 = X0
& X2 = X3 ) ) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f122,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssItem(X3)
| cons(X2,X0) != cons(X3,X1)
| ( X1 = X0
& X2 = X3 ) ) ) ) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0] :
( ~ ssList(X0)
| ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ),
inference(ennf_transformation,[],[f20]) ).
fof(f124,plain,
! [X0] :
( ~ ssList(X0)
| ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ),
inference(flattening,[],[f123]) ).
fof(f125,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| nil != cons(X1,X0) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f126,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f132,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ssList(app(X0,X1)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f133,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssItem(X2)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f134,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f135,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f136,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f135]) ).
fof(f137,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f138,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ) ) ),
inference(flattening,[],[f137]) ).
fof(f139,plain,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f140,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( geq(X0,X1)
<=> leq(X1,X0) ) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f141,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ lt(X1,X0) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f142,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ lt(X1,X0) ) ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f144,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ) ) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( gt(X0,X1)
<=> lt(X1,X0) ) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f146,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f147,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f148,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f149,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ) ) ),
inference(flattening,[],[f149]) ).
fof(f151,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f152,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f154,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f155,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ) ) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) ) ) ) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f157,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0] :
( ~ ssList(X0)
| ( frontsegP(nil,X0)
<=> nil = X0 ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f159,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f160,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ) ) ),
inference(flattening,[],[f159]) ).
fof(f161,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f162,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f161]) ).
fof(f163,plain,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f164,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f165,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ) ) ),
inference(flattening,[],[f164]) ).
fof(f166,plain,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
inference(ennf_transformation,[],[f51]) ).
fof(f167,plain,
! [X0] :
( ~ ssList(X0)
| ( rearsegP(nil,X0)
<=> nil = X0 ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f168,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f169,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ) ) ),
inference(flattening,[],[f168]) ).
fof(f170,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f171,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f173,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X2,X0),X3),X1) ) ) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f174,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X2,X0),X3),X1) ) ) ) ),
inference(flattening,[],[f173]) ).
fof(f175,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(ennf_transformation,[],[f57]) ).
fof(f176,plain,
! [X0] :
( ~ ssList(X0)
| ( segmentP(nil,X0)
<=> nil = X0 ) ),
inference(ennf_transformation,[],[f58]) ).
fof(f177,plain,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f59]) ).
fof(f178,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f61]) ).
fof(f179,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f63]) ).
fof(f180,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f65]) ).
fof(f181,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
inference(ennf_transformation,[],[f67]) ).
fof(f182,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f68]) ).
fof(f183,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
inference(ennf_transformation,[],[f70]) ).
fof(f184,plain,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f71]) ).
fof(f185,plain,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f73]) ).
fof(f186,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ? [X1] :
( hd(X0) = X1
& ssItem(X1) ) ),
inference(ennf_transformation,[],[f75]) ).
fof(f187,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ? [X1] :
( hd(X0) = X1
& ssItem(X1) ) ),
inference(flattening,[],[f186]) ).
fof(f188,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ),
inference(ennf_transformation,[],[f76]) ).
fof(f189,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ),
inference(flattening,[],[f188]) ).
fof(f190,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| X1 = X0 ) ),
inference(ennf_transformation,[],[f77]) ).
fof(f191,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| X1 = X0 ) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(ennf_transformation,[],[f78]) ).
fof(f193,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(flattening,[],[f192]) ).
fof(f194,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| X2 = X0 ) ) ),
inference(ennf_transformation,[],[f79]) ).
fof(f195,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| X2 = X0 ) ) ),
inference(flattening,[],[f194]) ).
fof(f196,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X2 = X0 ) ) ),
inference(ennf_transformation,[],[f80]) ).
fof(f197,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X2 = X0 ) ) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ) ),
inference(ennf_transformation,[],[f81]) ).
fof(f199,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f200,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f201,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f202,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| nil = X0
| hd(app(X0,X1)) = hd(X0) ) ),
inference(ennf_transformation,[],[f85]) ).
fof(f203,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| nil = X0
| hd(app(X0,X1)) = hd(X0) ) ),
inference(flattening,[],[f202]) ).
fof(f204,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1) ) ),
inference(ennf_transformation,[],[f86]) ).
fof(f205,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1) ) ),
inference(flattening,[],[f204]) ).
fof(f206,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f207,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f206]) ).
fof(f208,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ) ) ),
inference(ennf_transformation,[],[f88]) ).
fof(f209,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ) ) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f212,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f213,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ) ) ),
inference(flattening,[],[f212]) ).
fof(f216,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) ) ) ),
inference(ennf_transformation,[],[f93]) ).
fof(f217,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ gt(X1,X0) ) ),
inference(ennf_transformation,[],[f94]) ).
fof(f218,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ gt(X1,X0) ) ),
inference(flattening,[],[f217]) ).
fof(f219,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ) ) ),
inference(ennf_transformation,[],[f95]) ).
fof(f220,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ) ) ),
inference(flattening,[],[f219]) ).
fof(f221,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( nil = X2
& nil = X3 )
| ? [X7] :
( ssItem(X7)
& memberP(X3,X7)
& cons(X7,nil) = X2 ) )
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& ( memberP(X6,X4)
| memberP(X5,X4) )
& app(app(X5,cons(X4,nil)),X6) = X0 ) ) )
& X0 = X2
& X1 = X3 ) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( nil = X2
& nil = X3 )
| ? [X7] :
( ssItem(X7)
& memberP(X3,X7)
& cons(X7,nil) = X2 ) )
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& ( memberP(X6,X4)
| memberP(X5,X4) )
& app(app(X5,cons(X4,nil)),X6) = X0 ) ) )
& X0 = X2
& X1 = X3 ) ) ) ),
inference(flattening,[],[f221]) ).
fof(f233,plain,
( sK6 != sK7
& ssItem(sK7)
& ssItem(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f2]) ).
fof(f234,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ memberP(X0,X1)
| ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
& ( ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| memberP(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f99]) ).
fof(f235,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ memberP(X0,X1)
| ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) ) )
& ( ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| memberP(X0,X1) ) ) ) ),
inference(rectify,[],[f234]) ).
fof(f236,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ memberP(X0,X1)
| ( app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0
& ssList(sK9(X0,X1))
& ssList(sK8(X0,X1)) ) )
& ( ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| memberP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X4,sK8(X0,X1)),skolemize(X5,sK9(X0,X1))],[f235]) ).
fof(f237,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ singletonP(X0)
| ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) )
& ( ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) )
| singletonP(X0) ) ) ),
inference(nnf_transformation,[],[f100]) ).
fof(f238,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ singletonP(X0)
| ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) ) )
& ( ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) )
| singletonP(X0) ) ) ),
inference(rectify,[],[f237]) ).
fof(f239,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ singletonP(X0)
| ( cons(sK10(X0),nil) = X0
& ssItem(sK10(X0)) ) )
& ( ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) )
| singletonP(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0))],[f238]) ).
fof(f240,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ frontsegP(X0,X1)
| ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) )
& ( ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) )
| frontsegP(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f241,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ frontsegP(X0,X1)
| ? [X3] :
( app(X1,X3) = X0
& ssList(X3) ) )
& ( ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) )
| frontsegP(X0,X1) ) ) ) ),
inference(rectify,[],[f240]) ).
fof(f242,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ frontsegP(X0,X1)
| ( app(X1,sK11(X0,X1)) = X0
& ssList(sK11(X0,X1)) ) )
& ( ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) )
| frontsegP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1))],[f241]) ).
fof(f243,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ rearsegP(X0,X1)
| ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) )
& ( ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) )
| rearsegP(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f244,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ rearsegP(X0,X1)
| ? [X3] :
( app(X3,X1) = X0
& ssList(X3) ) )
& ( ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) )
| rearsegP(X0,X1) ) ) ) ),
inference(rectify,[],[f243]) ).
fof(f245,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ rearsegP(X0,X1)
| ( app(sK12(X0,X1),X1) = X0
& ssList(sK12(X0,X1)) ) )
& ( ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) )
| rearsegP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X3,sK12(X0,X1))],[f244]) ).
fof(f246,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(X0,X1)
| ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
& ( ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| segmentP(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f247,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(X0,X1)
| ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) ) )
& ( ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| segmentP(X0,X1) ) ) ) ),
inference(rectify,[],[f246]) ).
fof(f248,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(X0,X1)
| ( app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0
& ssList(sK14(X0,X1))
& ssList(sK13(X0,X1)) ) )
& ( ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| segmentP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X4,sK13(X0,X1)),skolemize(X5,sK14(X0,X1))],[f247]) ).
fof(f249,plain,
! [X0] :
( ~ sP1(X0)
| ( ( ~ cyclefreeP(X0)
| sP0(X0) )
& ( ~ sP0(X0)
| cyclefreeP(X0) ) ) ),
inference(nnf_transformation,[],[f224]) ).
fof(f253,plain,
! [X0] :
( ~ sP3(X0)
| ( ( ~ totalorderP(X0)
| sP2(X0) )
& ( ~ sP2(X0)
| totalorderP(X0) ) ) ),
inference(nnf_transformation,[],[f227]) ).
fof(f257,plain,
! [X0] :
( ~ sP5(X0)
| ( ( ~ strictorderP(X0)
| sP4(X0) )
& ( ~ sP4(X0)
| strictorderP(X0) ) ) ),
inference(nnf_transformation,[],[f230]) ).
fof(f261,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ totalorderedP(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| leq(X1,X2) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ~ leq(X1,X2) ) ) ) ) )
| totalorderedP(X0) ) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f262,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ totalorderedP(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| leq(X6,X7) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ~ leq(X1,X2) ) ) ) ) )
| totalorderedP(X0) ) ) ),
inference(rectify,[],[f261]) ).
fof(f263,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ totalorderedP(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| leq(X6,X7) ) ) ) ) ) )
& ( ( ssItem(sK30(X0))
& ssItem(sK31(X0))
& ssList(sK32(X0))
& ssList(sK33(X0))
& ssList(sK34(X0))
& app(app(sK32(X0),cons(sK30(X0),sK33(X0))),cons(sK31(X0),sK34(X0))) = X0
& ~ leq(sK30(X0),sK31(X0)) )
| totalorderedP(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33,sK34]),skolemize(X1,sK30(X0)),skolemize(X2,sK31(X0)),skolemize(X3,sK32(X0)),skolemize(X4,sK33(X0)),skolemize(X5,sK34(X0))],[f262]) ).
fof(f264,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ strictorderedP(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| lt(X1,X2) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ~ lt(X1,X2) ) ) ) ) )
| strictorderedP(X0) ) ) ),
inference(nnf_transformation,[],[f113]) ).
fof(f265,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ strictorderedP(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| lt(X6,X7) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ~ lt(X1,X2) ) ) ) ) )
| strictorderedP(X0) ) ) ),
inference(rectify,[],[f264]) ).
fof(f266,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ strictorderedP(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| lt(X6,X7) ) ) ) ) ) )
& ( ( ssItem(sK35(X0))
& ssItem(sK36(X0))
& ssList(sK37(X0))
& ssList(sK38(X0))
& ssList(sK39(X0))
& app(app(sK37(X0),cons(sK35(X0),sK38(X0))),cons(sK36(X0),sK39(X0))) = X0
& ~ lt(sK35(X0),sK36(X0)) )
| strictorderedP(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35,sK36,sK37,sK38,sK39]),skolemize(X1,sK35(X0)),skolemize(X2,sK36(X0)),skolemize(X3,sK37(X0)),skolemize(X4,sK38(X0)),skolemize(X5,sK39(X0))],[f265]) ).
fof(f267,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ duplicatefreeP(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| X1 != X2 ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& X1 = X2 ) ) ) ) )
| duplicatefreeP(X0) ) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f268,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ duplicatefreeP(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| X6 != X7 ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& X1 = X2 ) ) ) ) )
| duplicatefreeP(X0) ) ) ),
inference(rectify,[],[f267]) ).
fof(f269,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ duplicatefreeP(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| X6 != X7 ) ) ) ) ) )
& ( ( ssItem(sK40(X0))
& ssItem(sK41(X0))
& ssList(sK42(X0))
& ssList(sK43(X0))
& ssList(sK44(X0))
& app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
& sK40(X0) = sK41(X0) )
| duplicatefreeP(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41,sK42,sK43,sK44]),skolemize(X1,sK40(X0)),skolemize(X2,sK41(X0)),skolemize(X3,sK42(X0)),skolemize(X4,sK43(X0)),skolemize(X5,sK44(X0))],[f268]) ).
fof(f270,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ equalelemsP(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| app(X3,cons(X1,cons(X2,X4))) != X0
| X1 = X2 ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(X3,cons(X1,cons(X2,X4))) = X0
& X1 != X2 ) ) ) )
| equalelemsP(X0) ) ) ),
inference(nnf_transformation,[],[f117]) ).
fof(f271,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ equalelemsP(X0)
| ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X7,cons(X5,cons(X6,X8))) != X0
| X5 = X6 ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(X3,cons(X1,cons(X2,X4))) = X0
& X1 != X2 ) ) ) )
| equalelemsP(X0) ) ) ),
inference(rectify,[],[f270]) ).
fof(f272,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ equalelemsP(X0)
| ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X7,cons(X5,cons(X6,X8))) != X0
| X5 = X6 ) ) ) ) )
& ( ( ssItem(sK45(X0))
& ssItem(sK46(X0))
& ssList(sK47(X0))
& ssList(sK48(X0))
& app(sK47(X0),cons(sK45(X0),cons(sK46(X0),sK48(X0)))) = X0
& sK45(X0) != sK46(X0) )
| equalelemsP(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45,sK46,sK47,sK48]),skolemize(X1,sK45(X0)),skolemize(X2,sK46(X0)),skolemize(X3,sK47(X0)),skolemize(X4,sK48(X0))],[f271]) ).
fof(f274,plain,
! [X0] :
( ~ ssList(X0)
| ( cons(sK50(X0),sK49(X0)) = X0
& ssItem(sK50(X0))
& ssList(sK49(X0)) )
| nil = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49,sK50]),skolemize(X1,sK49(X0)),skolemize(X2,sK50(X0))],[f124]) ).
fof(f275,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ geq(X0,X1)
| leq(X1,X0) )
& ( ~ leq(X1,X0)
| geq(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f140]) ).
fof(f276,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ gt(X0,X1)
| lt(X1,X0) )
& ( ~ lt(X1,X0)
| gt(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f145]) ).
fof(f277,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ memberP(app(X1,X2),X0)
| memberP(X2,X0)
| memberP(X1,X0) )
& ( ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) )
| memberP(app(X1,X2),X0) ) ) ) ) ),
inference(nnf_transformation,[],[f146]) ).
fof(f278,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ memberP(app(X1,X2),X0)
| memberP(X2,X0)
| memberP(X1,X0) )
& ( ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) )
| memberP(app(X1,X2),X0) ) ) ) ) ),
inference(flattening,[],[f277]) ).
fof(f279,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1 )
& ( ( ~ memberP(X2,X0)
& X0 != X1 )
| memberP(cons(X1,X2),X0) ) ) ) ) ),
inference(nnf_transformation,[],[f147]) ).
fof(f280,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1 )
& ( ( ~ memberP(X2,X0)
& X0 != X1 )
| memberP(cons(X1,X2),X0) ) ) ) ) ),
inference(flattening,[],[f279]) ).
fof(f281,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ( ( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ( frontsegP(X2,X3)
& X0 = X1 ) )
& ( ~ frontsegP(X2,X3)
| X0 != X1
| frontsegP(cons(X0,X2),cons(X1,X3)) ) ) ) ) ) ),
inference(nnf_transformation,[],[f156]) ).
fof(f282,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ( ( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ( frontsegP(X2,X3)
& X0 = X1 ) )
& ( ~ frontsegP(X2,X3)
| X0 != X1
| frontsegP(cons(X0,X2),cons(X1,X3)) ) ) ) ) ) ),
inference(flattening,[],[f281]) ).
fof(f283,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ frontsegP(nil,X0)
| nil = X0 )
& ( nil != X0
| frontsegP(nil,X0) ) ) ),
inference(nnf_transformation,[],[f158]) ).
fof(f284,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ rearsegP(nil,X0)
| nil = X0 )
& ( nil != X0
| rearsegP(nil,X0) ) ) ),
inference(nnf_transformation,[],[f167]) ).
fof(f285,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ segmentP(nil,X0)
| nil = X0 )
& ( nil != X0
| segmentP(nil,X0) ) ) ),
inference(nnf_transformation,[],[f176]) ).
fof(f286,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ totalorderedP(cons(X0,X1))
| ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 )
& ( ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 )
| totalorderedP(cons(X0,X1)) ) ) ) ),
inference(nnf_transformation,[],[f181]) ).
fof(f287,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ totalorderedP(cons(X0,X1))
| ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 )
& ( ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 )
| totalorderedP(cons(X0,X1)) ) ) ) ),
inference(flattening,[],[f286]) ).
fof(f288,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ strictorderedP(cons(X0,X1))
| ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 )
& ( ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 )
| strictorderedP(cons(X0,X1)) ) ) ) ),
inference(nnf_transformation,[],[f183]) ).
fof(f289,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ strictorderedP(cons(X0,X1))
| ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 )
& ( ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 )
| strictorderedP(cons(X0,X1)) ) ) ) ),
inference(flattening,[],[f288]) ).
fof(f290,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ( hd(X0) = sK51(X0)
& ssItem(sK51(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(X1,sK51(X0))],[f187]) ).
fof(f291,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ( tl(X0) = sK52(X0)
& ssList(sK52(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(X1,sK52(X0))],[f189]) ).
fof(f292,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( nil != app(X0,X1)
| ( nil = X0
& nil = X1 ) )
& ( nil != X0
| nil != X1
| nil = app(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f200]) ).
fof(f293,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( nil != app(X0,X1)
| ( nil = X0
& nil = X1 ) )
& ( nil != X0
| nil != X1
| nil = app(X0,X1) ) ) ) ),
inference(flattening,[],[f292]) ).
fof(f294,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ lt(X0,X1)
| ( leq(X0,X1)
& X0 != X1 ) )
& ( ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f216]) ).
fof(f295,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ lt(X0,X1)
| ( leq(X0,X1)
& X0 != X1 ) )
& ( ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ) ) ) ),
inference(flattening,[],[f294]) ).
fof(f296,plain,
( ssList(sK53)
& ssList(sK54)
& ssList(sK55)
& ssList(sK56)
& ( ( nil = sK55
& nil = sK56 )
| ( ssItem(sK60)
& memberP(sK56,sK60)
& sK55 = cons(sK60,nil) ) )
& ssItem(sK57)
& ssList(sK58)
& ssList(sK59)
& ( memberP(sK59,sK57)
| memberP(sK58,sK57) )
& sK53 = app(app(sK58,cons(sK57,nil)),sK59)
& sK53 = sK55
& sK54 = sK56 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57),skolemize(X5,sK58),skolemize(X6,sK59),skolemize(X7,sK60)],[f222]) ).
fof(f299,plain,
sK6 != sK7,
inference(cnf_transformation,[],[f233]) ).
fof(f300,plain,
ssItem(sK7),
inference(cnf_transformation,[],[f233]) ).
fof(f301,plain,
ssItem(sK6),
inference(cnf_transformation,[],[f233]) ).
fof(f302,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0 ),
inference(cnf_transformation,[],[f236]) ).
fof(f303,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| ssList(sK9(X0,X1)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f304,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| ssList(sK8(X0,X1)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| memberP(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f306,plain,
! [X0] :
( ~ ssList(X0)
| ~ singletonP(X0)
| cons(sK10(X0),nil) = X0 ),
inference(cnf_transformation,[],[f239]) ).
fof(f307,plain,
! [X0] :
( ~ ssList(X0)
| ~ singletonP(X0)
| ssItem(sK10(X0)) ),
inference(cnf_transformation,[],[f239]) ).
fof(f308,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| singletonP(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f309,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| app(X1,sK11(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f242]) ).
fof(f310,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ssList(sK11(X0,X1)) ),
inference(cnf_transformation,[],[f242]) ).
fof(f311,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f242]) ).
fof(f312,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| app(sK12(X0,X1),X1) = X0 ),
inference(cnf_transformation,[],[f245]) ).
fof(f313,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ssList(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f245]) ).
fof(f314,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X2,X1) != X0
| ~ ssList(X2)
| rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f245]) ).
fof(f315,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f248]) ).
fof(f316,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ssList(sK14(X0,X1)) ),
inference(cnf_transformation,[],[f248]) ).
fof(f317,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ssList(sK13(X0,X1)) ),
inference(cnf_transformation,[],[f248]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f319,plain,
! [X0] :
( ~ sP1(X0)
| ~ cyclefreeP(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f330,plain,
! [X0] :
( ~ ssList(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f331,plain,
! [X0] :
( ~ sP3(X0)
| ~ totalorderP(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f253]) ).
fof(f342,plain,
! [X0] :
( ~ ssList(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f343,plain,
! [X0] :
( ~ sP5(X0)
| ~ strictorderP(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f354,plain,
! [X0] :
( ~ ssList(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f355,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ ssList(X0)
| ~ totalorderedP(X0)
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| leq(X6,X7) ),
inference(cnf_transformation,[],[f263]) ).
fof(f356,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK30(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f357,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK31(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f358,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK32(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f359,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK33(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f360,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK34(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f361,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK32(X0),cons(sK30(X0),sK33(X0))),cons(sK31(X0),sK34(X0))) = X0
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f362,plain,
! [X0] :
( ~ ssList(X0)
| ~ leq(sK30(X0),sK31(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f363,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ ssList(X0)
| ~ strictorderedP(X0)
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| lt(X6,X7) ),
inference(cnf_transformation,[],[f266]) ).
fof(f364,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK35(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f365,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK36(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f366,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK37(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f367,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK38(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f368,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK39(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f369,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK37(X0),cons(sK35(X0),sK38(X0))),cons(sK36(X0),sK39(X0))) = X0
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f370,plain,
! [X0] :
( ~ ssList(X0)
| ~ lt(sK35(X0),sK36(X0))
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f372,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK40(X0))
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f373,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK41(X0))
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f374,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK42(X0))
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f375,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK43(X0))
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f376,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK44(X0))
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f377,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f378,plain,
! [X0] :
( ~ ssList(X0)
| sK40(X0) = sK41(X0)
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f379,plain,
! [X0,X8,X6,X7,X5] :
( ~ ssList(X0)
| ~ equalelemsP(X0)
| ~ ssItem(X5)
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| app(X7,cons(X5,cons(X6,X8))) != X0
| X5 = X6 ),
inference(cnf_transformation,[],[f272]) ).
fof(f380,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK45(X0))
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f381,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK46(X0))
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f382,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK47(X0))
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f383,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK48(X0))
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f384,plain,
! [X0] :
( ~ ssList(X0)
| app(sK47(X0),cons(sK45(X0),cons(sK46(X0),sK48(X0)))) = X0
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f385,plain,
! [X0] :
( ~ ssList(X0)
| sK45(X0) != sK46(X0)
| equalelemsP(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f388,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f389,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f390,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f391,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| cons(X2,X0) != cons(X3,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f122]) ).
fof(f392,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| cons(X2,X0) != cons(X3,X1)
| X2 = X3 ),
inference(cnf_transformation,[],[f122]) ).
fof(f393,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK50(X0),sK49(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f274]) ).
fof(f394,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK50(X0))
| nil = X0 ),
inference(cnf_transformation,[],[f274]) ).
fof(f395,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK49(X0))
| nil = X0 ),
inference(cnf_transformation,[],[f274]) ).
fof(f396,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| nil != cons(X1,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f397,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f398,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f399,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f400,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f401,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f402,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f403,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f404,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f136]) ).
fof(f405,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f406,plain,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f407,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f408,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X0)
| geq(X0,X1) ),
inference(cnf_transformation,[],[f275]) ).
fof(f409,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ lt(X1,X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f410,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f411,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| lt(X1,X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f412,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f276]) ).
fof(f413,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(app(X1,X2),X0)
| memberP(X2,X0)
| memberP(X1,X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f414,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X2,X0)
| memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f415,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f416,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f280]) ).
fof(f417,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ memberP(X2,X0)
| memberP(cons(X1,X2),X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f419,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f420,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f421,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
inference(cnf_transformation,[],[f150]) ).
fof(f422,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f152]) ).
fof(f423,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f424,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f425,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(cons(X0,X2),cons(X1,X3))
| frontsegP(X2,X3) ),
inference(cnf_transformation,[],[f282]) ).
fof(f426,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(cons(X0,X2),cons(X1,X3))
| X0 = X1 ),
inference(cnf_transformation,[],[f282]) ).
fof(f428,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
inference(cnf_transformation,[],[f157]) ).
fof(f429,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
inference(cnf_transformation,[],[f283]) ).
fof(f430,plain,
! [X0] :
( ~ ssList(X0)
| nil != X0
| frontsegP(nil,X0) ),
inference(cnf_transformation,[],[f283]) ).
fof(f431,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f432,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f162]) ).
fof(f433,plain,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f434,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f435,plain,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
inference(cnf_transformation,[],[f166]) ).
fof(f436,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ),
inference(cnf_transformation,[],[f284]) ).
fof(f437,plain,
! [X0] :
( ~ ssList(X0)
| nil != X0
| rearsegP(nil,X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f438,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f439,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f171]) ).
fof(f440,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f441,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X2,X0),X3),X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f442,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(cnf_transformation,[],[f175]) ).
fof(f443,plain,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
inference(cnf_transformation,[],[f285]) ).
fof(f444,plain,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f445,plain,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f446,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f447,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f448,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f449,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f450,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f451,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f452,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f453,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1))
| nil = X1 ),
inference(cnf_transformation,[],[f287]) ).
fof(f454,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(cons(X0,X1))
| totalorderedP(X1)
| nil = X1 ),
inference(cnf_transformation,[],[f287]) ).
fof(f456,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1
| totalorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f287]) ).
fof(f458,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f459,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f460,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1))
| nil = X1 ),
inference(cnf_transformation,[],[f289]) ).
fof(f461,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ strictorderedP(cons(X0,X1))
| strictorderedP(X1)
| nil = X1 ),
inference(cnf_transformation,[],[f289]) ).
fof(f463,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1
| strictorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f289]) ).
fof(f465,plain,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f466,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f467,plain,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f185]) ).
fof(f468,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f469,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = sK51(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f470,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(sK51(X0)) ),
inference(cnf_transformation,[],[f290]) ).
fof(f471,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(X0) = sK52(X0) ),
inference(cnf_transformation,[],[f291]) ).
fof(f472,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(sK52(X0)) ),
inference(cnf_transformation,[],[f291]) ).
fof(f473,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| X0 = X1 ),
inference(cnf_transformation,[],[f191]) ).
fof(f474,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f475,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f195]) ).
fof(f476,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f197]) ).
fof(f477,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f478,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2)) ),
inference(cnf_transformation,[],[f199]) ).
fof(f479,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1)
| nil = X0 ),
inference(cnf_transformation,[],[f293]) ).
fof(f480,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1)
| nil = X1 ),
inference(cnf_transformation,[],[f293]) ).
fof(f482,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f483,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X0
| hd(X0) = hd(app(X0,X1)) ),
inference(cnf_transformation,[],[f203]) ).
fof(f484,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f485,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f207]) ).
fof(f486,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
inference(cnf_transformation,[],[f209]) ).
fof(f487,plain,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f489,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
inference(cnf_transformation,[],[f213]) ).
fof(f491,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f295]) ).
fof(f493,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
inference(cnf_transformation,[],[f295]) ).
fof(f494,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f495,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
inference(cnf_transformation,[],[f220]) ).
fof(f496,plain,
ssList(sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f497,plain,
ssList(sK54),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
( nil = sK55
| ssItem(sK60) ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
( nil = sK56
| ssItem(sK60) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( nil = sK55
| memberP(sK56,sK60) ),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
( nil = sK56
| memberP(sK56,sK60) ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
( nil = sK55
| sK55 = cons(sK60,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
( nil = sK56
| sK55 = cons(sK60,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
ssList(sK58),
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
ssList(sK59),
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
( memberP(sK59,sK57)
| memberP(sK58,sK57) ),
inference(cnf_transformation,[],[f296]) ).
fof(f510,plain,
sK53 = app(app(sK58,cons(sK57,nil)),sK59),
inference(cnf_transformation,[],[f296]) ).
fof(f511,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f512,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f513,plain,
sK55 = app(app(sK58,cons(sK57,nil)),sK59),
inference(definition_unfolding,[],[f510,f511]) ).
fof(f514,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f512]) ).
fof(f515,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f511]) ).
fof(f517,plain,
! [X2,X3,X1] :
( ~ ssList(app(X2,cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| memberP(app(X2,cons(X1,X3)),X1) ),
inference(equality_resolution,[],[f305]) ).
fof(f518,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| ~ ssItem(X1)
| singletonP(cons(X1,nil)) ),
inference(equality_resolution,[],[f308]) ).
fof(f519,plain,
! [X2,X1] :
( ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(equality_resolution,[],[f311]) ).
fof(f520,plain,
! [X2,X1] :
( ~ ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| rearsegP(app(X2,X1),X1) ),
inference(equality_resolution,[],[f314]) ).
fof(f521,plain,
! [X2,X3,X1] :
( ~ ssList(app(app(X2,X1),X3))
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(app(app(X2,X1),X3),X1) ),
inference(equality_resolution,[],[f318]) ).
fof(f525,plain,
! [X10,X8,X6,X9,X7] :
( ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ totalorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| leq(X6,X7) ),
inference(equality_resolution,[],[f355]) ).
fof(f526,plain,
! [X10,X8,X6,X9,X7] :
( ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ strictorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| lt(X6,X7) ),
inference(equality_resolution,[],[f363]) ).
fof(f529,plain,
! [X8,X6,X7,X5] :
( ~ ssList(app(X7,cons(X5,cons(X6,X8))))
| ~ equalelemsP(app(X7,cons(X5,cons(X6,X8))))
| ~ ssItem(X5)
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| X5 = X6 ),
inference(equality_resolution,[],[f379]) ).
fof(f533,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_resolution,[],[f430]) ).
fof(f534,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_resolution,[],[f437]) ).
fof(f535,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f444]) ).
tcf(c_51,plain,
ssItem(sK6),
inference(cnf_transformation,[],[f301]) ).
tcf(c_52,plain,
ssItem(sK7),
inference(cnf_transformation,[],[f300]) ).
tcf(c_53,plain,
sK6 != sK7,
inference(cnf_transformation,[],[f299]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2))) ),
inference(cnf_transformation,[],[f517]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ssList(sK8(X0,X1))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( ssList(sK9(X0,X1))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( ( app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_58,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(cnf_transformation,[],[f518]) ).
tcf(c_59,plain,
! [X0: $i] :
( ssItem(sK10(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_60,plain,
! [X0: $i] :
( ( cons(sK10(X0),nil) = X0 )
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f519]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( ssList(sK11(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( ( app(X1,sK11(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f520]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( ssList(sK12(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(X0,X1),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_67,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,[],[f521]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ssList(sK13(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( ssList(sK14(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_72,plain,
! [X0: $i] :
( sP0(X0)
| ~ sP1(X0)
| ~ cyclefreeP(X0) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_82,plain,
! [X0: $i] :
( sP1(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_84,plain,
! [X0: $i] :
( sP2(X0)
| ~ sP3(X0)
| ~ totalorderP(X0) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_94,plain,
! [X0: $i] :
( sP3(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f342]) ).
tcf(c_96,plain,
! [X0: $i] :
( sP4(X0)
| ~ sP5(X0)
| ~ strictorderP(X0) ),
inference(cnf_transformation,[],[f343]) ).
tcf(c_106,plain,
! [X0: $i] :
( sP5(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f354]) ).
tcf(c_107,plain,
! [X0: $i] :
( totalorderedP(X0)
| ~ ssList(X0)
| ~ leq(sK30(X0),sK31(X0)) ),
inference(cnf_transformation,[],[f362]) ).
tcf(c_108,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK32(X0),cons(sK30(X0),sK33(X0))),cons(sK31(X0),sK34(X0))) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f361]) ).
tcf(c_109,plain,
! [X0: $i] :
( totalorderedP(X0)
| ssList(sK34(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f360]) ).
tcf(c_110,plain,
! [X0: $i] :
( totalorderedP(X0)
| ssList(sK33(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_111,plain,
! [X0: $i] :
( totalorderedP(X0)
| ssList(sK32(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
tcf(c_112,plain,
! [X0: $i] :
( totalorderedP(X0)
| ssItem(sK31(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_113,plain,
! [X0: $i] :
( totalorderedP(X0)
| ssItem(sK30(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(cnf_transformation,[],[f525]) ).
tcf(c_115,plain,
! [X0: $i] :
( strictorderedP(X0)
| ~ ssList(X0)
| ~ lt(sK35(X0),sK36(X0)) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_116,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK37(X0),cons(sK35(X0),sK38(X0))),cons(sK36(X0),sK39(X0))) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f369]) ).
tcf(c_117,plain,
! [X0: $i] :
( strictorderedP(X0)
| ssList(sK39(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
tcf(c_118,plain,
! [X0: $i] :
( strictorderedP(X0)
| ssList(sK38(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f367]) ).
tcf(c_119,plain,
! [X0: $i] :
( strictorderedP(X0)
| ssList(sK37(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f366]) ).
tcf(c_120,plain,
! [X0: $i] :
( strictorderedP(X0)
| ssItem(sK36(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f365]) ).
tcf(c_121,plain,
! [X0: $i] :
( strictorderedP(X0)
| ssItem(sK35(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f364]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(cnf_transformation,[],[f526]) ).
tcf(c_123,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK40(X0) = sK41(X0) )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f378]) ).
tcf(c_124,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_125,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ssList(sK44(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f376]) ).
tcf(c_126,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ssList(sK43(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f375]) ).
tcf(c_127,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ssList(sK42(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f374]) ).
tcf(c_128,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ssItem(sK41(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f373]) ).
tcf(c_129,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ssItem(sK40(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f372]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
inference(cnf_transformation,[],[f544]) ).
tcf(c_131,plain,
! [X0: $i] :
( equalelemsP(X0)
| ~ ssList(X0)
| ( sK45(X0) != sK46(X0) ) ),
inference(cnf_transformation,[],[f385]) ).
tcf(c_132,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK47(X0),cons(sK45(X0),cons(sK46(X0),sK48(X0)))) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f384]) ).
tcf(c_133,plain,
! [X0: $i] :
( equalelemsP(X0)
| ssList(sK48(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f383]) ).
tcf(c_134,plain,
! [X0: $i] :
( equalelemsP(X0)
| ssList(sK47(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_135,plain,
! [X0: $i] :
( equalelemsP(X0)
| ssItem(sK46(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f381]) ).
tcf(c_136,plain,
! [X0: $i] :
( equalelemsP(X0)
| ssItem(sK45(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f380]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(app(X0,cons(X1,cons(X2,X3)))) ),
inference(cnf_transformation,[],[f529]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f388]) ).
tcf(c_141,plain,
ssList(nil),
inference(cnf_transformation,[],[f389]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f390]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ( cons(X0,X1) != cons(X2,X3) ) ),
inference(cnf_transformation,[],[f392]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ( cons(X0,X1) != cons(X2,X3) ) ),
inference(cnf_transformation,[],[f391]) ).
tcf(c_145,plain,
! [X0: $i] :
( ssList(sK49(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f395]) ).
tcf(c_146,plain,
! [X0: $i] :
( ssItem(sK50(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f394]) ).
tcf(c_147,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK50(X0),sK49(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f393]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f396]) ).
tcf(c_149,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f397]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f398]) ).
tcf(c_151,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f399]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(X0,X1)) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f400]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f401]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X0,app(X2,X1)) = app(cons(X0,X2),X1) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f402]) ).
tcf(c_155,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f403]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f404]) ).
tcf(c_157,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,[],[f405]) ).
tcf(c_158,plain,
! [X0: $i] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f406]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i] :
( geq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f408]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f407]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f409]) ).
tcf(c_162,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,[],[f410]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f412]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f411]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f415]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X2,X0),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f414]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| memberP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ memberP(app(X0,X1),X2) ),
inference(cnf_transformation,[],[f413]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X0,X1),X0)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f546]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(cons(X2,X0),X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f417]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| ( X0 = X2 )
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ memberP(cons(X0,X1),X2) ),
inference(cnf_transformation,[],[f416]) ).
tcf(c_171,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f419]) ).
tcf(c_172,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f420]) ).
tcf(c_173,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,[],[f421]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f422]) ).
tcf(c_175,plain,
! [X0: $i] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f423]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f424]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(cons(X2,X0),cons(X2,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f547]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
inference(cnf_transformation,[],[f426]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X1,X3)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
inference(cnf_transformation,[],[f425]) ).
tcf(c_180,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f428]) ).
tcf(c_181,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f533]) ).
tcf(c_182,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(cnf_transformation,[],[f429]) ).
tcf(c_183,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,[],[f431]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f432]) ).
tcf(c_185,plain,
! [X0: $i] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f433]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(app(X2,X0),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f434]) ).
tcf(c_187,plain,
! [X0: $i] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f435]) ).
tcf(c_188,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f534]) ).
tcf(c_189,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(cnf_transformation,[],[f436]) ).
tcf(c_190,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,[],[f438]) ).
tcf(c_191,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f439]) ).
tcf(c_192,plain,
! [X0: $i] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f440]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f441]) ).
tcf(c_194,plain,
! [X0: $i] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f442]) ).
tcf(c_195,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f535]) ).
tcf(c_196,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[],[f443]) ).
tcf(c_197,plain,
! [X0: $i] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f445]) ).
tcf(c_198,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f446]) ).
tcf(c_199,plain,
! [X0: $i] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f447]) ).
tcf(c_200,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f448]) ).
tcf(c_201,plain,
! [X0: $i] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f449]) ).
tcf(c_202,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f450]) ).
tcf(c_203,plain,
! [X0: $i] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f451]) ).
tcf(c_204,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f452]) ).
tcf(c_206,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X0,X1))
| ( X1 = nil )
| ~ totalorderedP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(X0,hd(X1)) ),
inference(cnf_transformation,[],[f456]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X1)
| ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f454]) ).
tcf(c_208,plain,
! [X0: $i,X1: $i] :
( leq(X0,hd(X1))
| ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f453]) ).
tcf(c_209,plain,
! [X0: $i] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f458]) ).
tcf(c_210,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f459]) ).
tcf(c_212,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X0,X1))
| ( X1 = nil )
| ~ strictorderedP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ lt(X0,hd(X1)) ),
inference(cnf_transformation,[],[f463]) ).
tcf(c_213,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X1)
| ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f461]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i] :
( lt(X0,hd(X1))
| ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f460]) ).
tcf(c_215,plain,
! [X0: $i] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f465]) ).
tcf(c_216,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f466]) ).
tcf(c_217,plain,
! [X0: $i] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f467]) ).
tcf(c_218,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f468]) ).
tcf(c_219,plain,
! [X0: $i] :
( ssItem(sK51(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f470]) ).
tcf(c_220,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(X0) = sK51(X0) )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f469]) ).
tcf(c_221,plain,
! [X0: $i] :
( ssList(sK52(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f472]) ).
tcf(c_222,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(X0) = sK52(X0) )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f471]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( X0 = nil )
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( tl(X0) != tl(X1) )
| ( hd(X0) != hd(X1) ) ),
inference(cnf_transformation,[],[f473]) ).
tcf(c_224,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f474]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != app(X2,X1) ) ),
inference(cnf_transformation,[],[f475]) ).
tcf(c_226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != app(X0,X2) ) ),
inference(cnf_transformation,[],[f476]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X0,nil),X1) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f477]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X0,X1),X2) = app(X0,app(X1,X2)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f478]) ).
tcf(c_229,plain,
( ( app(nil,nil) = nil )
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f548]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f480]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f479]) ).
tcf(c_232,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f482]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( hd(app(X0,X1)) = hd(X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f483]) ).
tcf(c_234,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(tl(X0),X1) = tl(app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f484]) ).
tcf(c_235,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f485]) ).
tcf(c_236,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,[],[f486]) ).
tcf(c_237,plain,
! [X0: $i] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f487]) ).
tcf(c_239,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,[],[f489]) ).
tcf(c_241,plain,
! [X0: $i,X1: $i] :
( lt(X0,X1)
| ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f493]) ).
tcf(c_242,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
inference(cnf_transformation,[],[f549]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f491]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f494]) ).
tcf(c_245,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,[],[f495]) ).
tcf(c_246,negated_conjecture,
app(app(sK58,cons(sK57,nil)),sK59) = sK55,
inference(cnf_transformation,[],[f513]) ).
tcf(c_247,negated_conjecture,
( memberP(sK59,sK57)
| memberP(sK58,sK57) ),
inference(cnf_transformation,[],[f509]) ).
tcf(c_248,negated_conjecture,
ssList(sK59),
inference(cnf_transformation,[],[f508]) ).
tcf(c_249,negated_conjecture,
ssList(sK58),
inference(cnf_transformation,[],[f507]) ).
tcf(c_250,negated_conjecture,
ssItem(sK57),
inference(cnf_transformation,[],[f506]) ).
tcf(c_251,negated_conjecture,
( ( nil = sK56 )
| ( cons(sK60,nil) = sK55 ) ),
inference(cnf_transformation,[],[f505]) ).
tcf(c_252,negated_conjecture,
( ( nil = sK55 )
| ( cons(sK60,nil) = sK55 ) ),
inference(cnf_transformation,[],[f504]) ).
tcf(c_253,negated_conjecture,
( memberP(sK56,sK60)
| ( nil = sK56 ) ),
inference(cnf_transformation,[],[f503]) ).
tcf(c_254,negated_conjecture,
( memberP(sK56,sK60)
| ( nil = sK55 ) ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_255,negated_conjecture,
( ssItem(sK60)
| ( nil = sK56 ) ),
inference(cnf_transformation,[],[f501]) ).
tcf(c_256,negated_conjecture,
( ssItem(sK60)
| ( nil = sK55 ) ),
inference(cnf_transformation,[],[f500]) ).
tcf(c_259,negated_conjecture,
ssList(sK56),
inference(cnf_transformation,[],[f514]) ).
tcf(c_260,negated_conjecture,
ssList(sK55),
inference(cnf_transformation,[],[f515]) ).
tcf(c_261,plain,
( sP5(nil)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_267,plain,
( sP3(nil)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_273,plain,
( sP1(nil)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_296,plain,
( sP4(nil)
| ~ sP5(nil)
| ~ strictorderP(nil) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_299,plain,
( sP2(nil)
| ~ sP3(nil)
| ~ totalorderP(nil) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_300,plain,
( sP0(nil)
| ~ sP1(nil)
| ~ cyclefreeP(nil) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_301,plain,
( ( app(nil,nil) = nil )
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_232]) ).
tcf(c_327,plain,
( ssList(sK12(nil,nil))
| ~ ssList(nil)
| ~ rearsegP(nil,nil) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_328,plain,
( ssList(sK11(nil,nil))
| ~ ssList(nil)
| ~ frontsegP(nil,nil) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_367,plain,
segmentP(nil,nil),
inference(global_subsumption_just,[status(thm)],[c_195,c_141,c_195]) ).
tcf(c_369,plain,
rearsegP(nil,nil),
inference(global_subsumption_just,[status(thm)],[c_188,c_141,c_188]) ).
tcf(c_371,plain,
frontsegP(nil,nil),
inference(global_subsumption_just,[status(thm)],[c_181,c_141,c_181]) ).
tcf(c_373,plain,
app(nil,nil) = nil,
inference(global_subsumption_just,[status(thm)],[c_229,c_141,c_301]) ).
tcf(c_379,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_64,c_153,c_64]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_61,c_153,c_61]) ).
tcf(c_3049,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ~ cyclefreeP(X1)
| ~ ssList(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_82,c_72]) ).
tcf(c_3050,plain,
! [X0: $i] :
( sP0(X0)
| ~ cyclefreeP(X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_3049]) ).
tcf(c_3078,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ~ totalorderP(X1)
| ~ ssList(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_84]) ).
tcf(c_3079,plain,
! [X0: $i] :
( sP2(X0)
| ~ totalorderP(X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_3078]) ).
tcf(c_3107,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ~ strictorderP(X1)
| ~ ssList(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_106,c_96]) ).
tcf(c_3108,plain,
! [X0: $i] :
( sP4(X0)
| ~ strictorderP(X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_3107]) ).
tcf(c_3138,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,nil) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3050,c_197]) ).
tcf(c_3139,plain,
! [X0: $i] :
( sP0(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(unflattening,[status(thm)],[c_3138]) ).
tcf(c_3150,plain,
! [X0: $i] :
( sP0(X0)
| ~ ssList(X0)
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_3050,c_198]) ).
tcf(c_3151,plain,
( sP0(nil)
| ~ ssList(nil) ),
inference(unflattening,[status(thm)],[c_3150]) ).
tcf(c_3152,plain,
sP0(nil),
inference(global_subsumption_just,[status(thm)],[c_3151,c_198,c_141,c_273,c_300]) ).
tcf(c_3163,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,nil) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3079,c_199]) ).
tcf(c_3164,plain,
! [X0: $i] :
( sP2(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(unflattening,[status(thm)],[c_3163]) ).
tcf(c_3175,plain,
! [X0: $i] :
( sP2(X0)
| ~ ssList(X0)
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_3079,c_200]) ).
tcf(c_3176,plain,
( sP2(nil)
| ~ ssList(nil) ),
inference(unflattening,[status(thm)],[c_3175]) ).
tcf(c_3177,plain,
sP2(nil),
inference(global_subsumption_just,[status(thm)],[c_3176,c_200,c_141,c_267,c_299]) ).
tcf(c_3188,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,nil) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3108,c_201]) ).
tcf(c_3189,plain,
! [X0: $i] :
( sP4(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(unflattening,[status(thm)],[c_3188]) ).
tcf(c_3200,plain,
! [X0: $i] :
( sP4(X0)
| ~ ssList(X0)
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_3108,c_202]) ).
tcf(c_3201,plain,
( sP4(nil)
| ~ ssList(nil) ),
inference(unflattening,[status(thm)],[c_3200]) ).
tcf(c_3202,plain,
sP4(nil),
inference(global_subsumption_just,[status(thm)],[c_3201,c_202,c_141,c_261,c_296]) ).
tcf(c_8902,definition,
iPr_def_10 = cons(sK60,nil),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_8903,definition,
iPr_def_11 = cons(sK57,nil),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_8904,definition,
iPr_def_12 = app(sK58,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_8905,definition,
iPr_def_13 = app(iPr_def_12,sK59),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_8906,negated_conjecture,
ssList(sK55),
inference(demodulation,[status(thm)],[c_260]) ).
tcf(c_8907,negated_conjecture,
ssList(sK56),
inference(demodulation,[status(thm)],[c_259]) ).
tcf(c_8908,negated_conjecture,
( ssItem(sK60)
| ( nil = sK55 ) ),
inference(demodulation,[status(thm)],[c_256]) ).
tcf(c_8909,negated_conjecture,
( ssItem(sK60)
| ( nil = sK56 ) ),
inference(demodulation,[status(thm)],[c_255]) ).
tcf(c_8910,negated_conjecture,
( memberP(sK56,sK60)
| ( nil = sK55 ) ),
inference(demodulation,[status(thm)],[c_254]) ).
tcf(c_8911,negated_conjecture,
( memberP(sK56,sK60)
| ( nil = sK56 ) ),
inference(demodulation,[status(thm)],[c_253]) ).
tcf(c_8912,negated_conjecture,
( ( iPr_def_10 = sK55 )
| ( nil = sK55 ) ),
inference(demodulation,[status(thm)],[c_252,c_8902]) ).
tcf(c_8913,negated_conjecture,
( ( iPr_def_10 = sK55 )
| ( nil = sK56 ) ),
inference(demodulation,[status(thm)],[c_251]) ).
tcf(c_8914,negated_conjecture,
ssItem(sK57),
inference(demodulation,[status(thm)],[c_250]) ).
tcf(c_8915,negated_conjecture,
ssList(sK58),
inference(demodulation,[status(thm)],[c_249]) ).
tcf(c_8916,negated_conjecture,
ssList(sK59),
inference(demodulation,[status(thm)],[c_248]) ).
tcf(c_8917,negated_conjecture,
( memberP(sK59,sK57)
| memberP(sK58,sK57) ),
inference(demodulation,[status(thm)],[c_247]) ).
tcf(c_8918,negated_conjecture,
iPr_def_13 = sK55,
inference(demodulation,[status(thm)],[c_246,c_8903,c_8904,c_8905]) ).
tcf(c_11790,plain,
ssList(iPr_def_13),
inference(light_normalisation,[status(thm)],[c_8906,c_8918]) ).
tcf(c_11791,plain,
( ssItem(sK60)
| ( nil = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_8908,c_8918]) ).
tcf(c_11802,plain,
( memberP(sK56,sK60)
| ( nil = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_8910,c_8918]) ).
tcf(c_11813,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( nil = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_8912,c_8918]) ).
tcf(c_11820,plain,
( sP0(iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11813,c_3152]) ).
tcf(c_11821,plain,
( equalelemsP(iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11813,c_218]) ).
tcf(c_11822,plain,
( duplicatefreeP(iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11813,c_216]) ).
tcf(c_11823,plain,
( strictorderedP(iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11813,c_210]) ).
tcf(c_11824,plain,
( totalorderedP(iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11813,c_204]) ).
tcf(c_11826,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11813,c_373]) ).
tcf(c_11839,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( nil = sK56 ) ),
inference(light_normalisation,[status(thm)],[c_8913,c_8918]) ).
tcf(c_11861,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( cons(sK60,iPr_def_13) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_11813,c_8902]) ).
tcf(c_11864,plain,
( ( iPr_def_10 = iPr_def_13 )
| ~ singletonP(iPr_def_13) ),
inference(superposition,[status(thm)],[c_11813,c_172]) ).
tcf(c_11867,plain,
( segmentP(iPr_def_13,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11813,c_367]) ).
tcf(c_11871,plain,
( rearsegP(iPr_def_13,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11813,c_369]) ).
tcf(c_11875,plain,
( frontsegP(iPr_def_13,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11813,c_371]) ).
tcf(c_11879,plain,
( sP2(iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11813,c_3177]) ).
tcf(c_11882,plain,
( sP4(iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11813,c_3202]) ).
tcf(c_11921,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( cons(sK57,iPr_def_13) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_11813,c_8903]) ).
tcf(c_12004,plain,
! [X0: $i] :
( frontsegP(X0,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_11813,c_180]) ).
tcf(c_12017,plain,
! [X0: $i] :
( rearsegP(X0,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_11813,c_187]) ).
tcf(c_12030,plain,
! [X0: $i] :
( segmentP(X0,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_11813,c_194]) ).
tcf(c_12069,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_11813,c_171]) ).
tcf(c_12084,plain,
( totalorderedP(iPr_def_11)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8903,c_203]) ).
tcf(c_12085,plain,
( totalorderedP(iPr_def_10)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8902,c_203]) ).
tcf(c_12086,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_13))
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_11813,c_203]) ).
tcf(c_12089,plain,
totalorderedP(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_12084,c_8914]) ).
tcf(c_12098,plain,
( strictorderedP(iPr_def_11)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8903,c_209]) ).
tcf(c_12099,plain,
( strictorderedP(iPr_def_10)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8902,c_209]) ).
tcf(c_12100,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_13))
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_11813,c_209]) ).
tcf(c_12103,plain,
strictorderedP(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_12098,c_8914]) ).
tcf(c_12112,plain,
( duplicatefreeP(iPr_def_11)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8903,c_215]) ).
tcf(c_12113,plain,
( duplicatefreeP(iPr_def_10)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8902,c_215]) ).
tcf(c_12114,plain,
! [X0: $i] :
( duplicatefreeP(cons(X0,iPr_def_13))
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_11813,c_215]) ).
tcf(c_12117,plain,
duplicatefreeP(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_12112,c_8914]) ).
tcf(c_12126,plain,
( equalelemsP(iPr_def_11)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8903,c_217]) ).
tcf(c_12127,plain,
( equalelemsP(iPr_def_10)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8902,c_217]) ).
tcf(c_12128,plain,
! [X0: $i] :
( equalelemsP(cons(X0,iPr_def_13))
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_11813,c_217]) ).
tcf(c_12131,plain,
equalelemsP(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_12126,c_8914]) ).
tcf(c_12142,plain,
( totalorderedP(iPr_def_10)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_11861,c_12086]) ).
tcf(c_12153,plain,
( strictorderedP(iPr_def_10)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_11861,c_12100]) ).
tcf(c_12164,plain,
( duplicatefreeP(iPr_def_10)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_11861,c_12114]) ).
tcf(c_12175,plain,
( equalelemsP(iPr_def_10)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_11861,c_12128]) ).
tcf(c_12198,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sK57,nil))) ),
inference(superposition,[status(thm)],[c_8903,c_54]) ).
tcf(c_12199,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK60)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sK60,nil))) ),
inference(superposition,[status(thm)],[c_8902,c_54]) ).
tcf(c_12200,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK60)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sK60,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_11861,c_54]) ).
tcf(c_12201,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK57)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sK57,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_11921,c_54]) ).
tcf(c_12202,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK60)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_12199,c_8902]) ).
tcf(c_12203,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK60)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12202,c_141]) ).
tcf(c_12208,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_12198,c_8903]) ).
tcf(c_12209,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12208,c_141,c_8914]) ).
tcf(c_12213,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK57)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sK57,iPr_def_13))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12201,c_11790,c_8914]) ).
tcf(c_12218,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK60)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sK60,iPr_def_13))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12200,c_11790]) ).
tcf(c_12248,plain,
( totalorderedP(iPr_def_10)
| ( nil = sK56 ) ),
inference(superposition,[status(thm)],[c_8909,c_12085]) ).
tcf(c_12249,plain,
( totalorderedP(iPr_def_10)
| ( nil = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11791,c_12085]) ).
tcf(c_12258,plain,
( strictorderedP(iPr_def_10)
| ( nil = sK56 ) ),
inference(superposition,[status(thm)],[c_8909,c_12099]) ).
tcf(c_12259,plain,
( strictorderedP(iPr_def_10)
| ( nil = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11791,c_12099]) ).
tcf(c_12268,plain,
( duplicatefreeP(iPr_def_10)
| ( nil = sK56 ) ),
inference(superposition,[status(thm)],[c_8909,c_12113]) ).
tcf(c_12269,plain,
( duplicatefreeP(iPr_def_10)
| ( nil = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11791,c_12113]) ).
tcf(c_12278,plain,
( equalelemsP(iPr_def_10)
| ( nil = sK56 ) ),
inference(superposition,[status(thm)],[c_8909,c_12127]) ).
tcf(c_12279,plain,
( equalelemsP(iPr_def_10)
| ( nil = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11791,c_12127]) ).
tcf(c_12306,plain,
( memberP(iPr_def_12,sK57)
| ~ ssList(sK58)
| ~ ssList(app(sK58,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_8904,c_12209]) ).
tcf(c_12307,plain,
( memberP(iPr_def_12,sK57)
| ~ ssList(iPr_def_12)
| ~ ssList(sK58) ),
inference(light_normalisation,[status(thm)],[c_12306,c_8904]) ).
tcf(c_12308,plain,
( memberP(iPr_def_12,sK57)
| ~ ssList(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12307,c_8915]) ).
tcf(c_12323,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK57)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_11921,c_12213]) ).
tcf(c_12393,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK60)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_11861,c_12218]) ).
tcf(c_12510,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK8(X0,X1)) = sK8(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_155]) ).
tcf(c_12520,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK34(X0)) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_155]) ).
tcf(c_12521,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK33(X0)) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_155]) ).
tcf(c_12522,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK32(X0)) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_155]) ).
tcf(c_12523,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK39(X0)) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_155]) ).
tcf(c_12524,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK38(X0)) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_155]) ).
tcf(c_12525,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK37(X0)) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_155]) ).
tcf(c_12526,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK44(X0)) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_155]) ).
tcf(c_12527,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK43(X0)) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_155]) ).
tcf(c_12528,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK42(X0)) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_155]) ).
tcf(c_12529,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(nil,sK48(X0)) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_155]) ).
tcf(c_12530,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(nil,sK47(X0)) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_155]) ).
tcf(c_12532,plain,
app(nil,sK59) = sK59,
inference(superposition,[status(thm)],[c_8916,c_155]) ).
tcf(c_12533,plain,
app(nil,sK58) = sK58,
inference(superposition,[status(thm)],[c_8915,c_155]) ).
tcf(c_12534,plain,
app(nil,sK56) = sK56,
inference(superposition,[status(thm)],[c_8907,c_155]) ).
tcf(c_12535,plain,
app(nil,iPr_def_13) = iPr_def_13,
inference(superposition,[status(thm)],[c_11790,c_155]) ).
tcf(c_12591,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK59) = sK59 ) ),
inference(superposition,[status(thm)],[c_11813,c_12532]) ).
tcf(c_12594,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK58) = sK58 ) ),
inference(superposition,[status(thm)],[c_11813,c_12533]) ).
tcf(c_12597,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK56) = sK56 ) ),
inference(superposition,[status(thm)],[c_11813,c_12534]) ).
tcf(c_12610,plain,
! [X0: $i,X1: $i] :
( ( app(sK8(X0,X1),nil) = sK8(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_232]) ).
tcf(c_12620,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK34(X0),nil) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_232]) ).
tcf(c_12621,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK33(X0),nil) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_232]) ).
tcf(c_12622,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK32(X0),nil) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_232]) ).
tcf(c_12623,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK39(X0),nil) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_232]) ).
tcf(c_12624,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK38(X0),nil) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_232]) ).
tcf(c_12625,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK37(X0),nil) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_232]) ).
tcf(c_12626,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK44(X0),nil) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_232]) ).
tcf(c_12627,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK43(X0),nil) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_232]) ).
tcf(c_12628,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK42(X0),nil) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_232]) ).
tcf(c_12629,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK48(X0),nil) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_232]) ).
tcf(c_12630,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK47(X0),nil) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_232]) ).
tcf(c_12632,plain,
app(sK59,nil) = sK59,
inference(superposition,[status(thm)],[c_8916,c_232]) ).
tcf(c_12633,plain,
app(sK58,nil) = sK58,
inference(superposition,[status(thm)],[c_8915,c_232]) ).
tcf(c_12634,plain,
app(sK56,nil) = sK56,
inference(superposition,[status(thm)],[c_8907,c_232]) ).
tcf(c_12635,plain,
app(iPr_def_13,nil) = iPr_def_13,
inference(superposition,[status(thm)],[c_11790,c_232]) ).
tcf(c_12697,plain,
( ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8903,c_140]) ).
tcf(c_12698,plain,
( ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8902,c_140]) ).
tcf(c_12699,plain,
( ssList(iPr_def_10)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_11861,c_140]) ).
tcf(c_12701,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X0,X1),nil) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_232]) ).
tcf(c_12702,plain,
! [X0: $i,X1: $i] :
( ( app(nil,cons(X0,X1)) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_155]) ).
tcf(c_12703,plain,
( ssList(iPr_def_10)
| ~ ssItem(sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12698,c_141]) ).
tcf(c_12706,plain,
ssList(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_12697,c_141,c_8914]) ).
tcf(c_12707,plain,
( ssList(iPr_def_10)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12699,c_11790]) ).
tcf(c_12724,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK49(X0),nil) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_232]) ).
tcf(c_12725,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK49(X0)) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_155]) ).
tcf(c_12738,plain,
app(iPr_def_11,nil) = iPr_def_11,
inference(superposition,[status(thm)],[c_12706,c_232]) ).
tcf(c_12739,plain,
app(nil,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_12706,c_155]) ).
tcf(c_12744,plain,
( ssList(iPr_def_10)
| ( nil = sK56 ) ),
inference(superposition,[status(thm)],[c_8909,c_12703]) ).
tcf(c_12745,plain,
( ssList(iPr_def_10)
| ( nil = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11791,c_12703]) ).
tcf(c_12750,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(sK59,iPr_def_13) = sK59 ) ),
inference(superposition,[status(thm)],[c_11813,c_12632]) ).
tcf(c_12753,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(sK58,iPr_def_13) = sK58 ) ),
inference(superposition,[status(thm)],[c_11813,c_12633]) ).
tcf(c_12757,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(sK56,iPr_def_13) = sK56 ) ),
inference(superposition,[status(thm)],[c_11813,c_12634]) ).
tcf(c_12764,plain,
( ( nil = sK56 )
| ( app(iPr_def_10,nil) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12744,c_232]) ).
tcf(c_12765,plain,
( ( nil = sK56 )
| ( app(nil,iPr_def_10) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12744,c_155]) ).
tcf(c_12771,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_11,iPr_def_13) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_11813,c_12738]) ).
tcf(c_12774,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,iPr_def_11) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_11813,c_12739]) ).
tcf(c_12775,plain,
( memberP(iPr_def_11,sK57)
| ~ ssList(nil)
| ~ ssList(app(nil,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_12739,c_12209]) ).
tcf(c_12778,plain,
( memberP(iPr_def_11,sK57)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_12775,c_12739]) ).
tcf(c_12779,plain,
memberP(iPr_def_11,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_12778,c_12706,c_141]) ).
tcf(c_12784,plain,
( ( nil = iPr_def_13 )
| ( app(iPr_def_10,nil) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12745,c_232]) ).
tcf(c_12785,plain,
( ( nil = iPr_def_13 )
| ( app(nil,iPr_def_10) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12745,c_155]) ).
tcf(c_12808,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(tl(X0),nil) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_232]) ).
tcf(c_12809,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,tl(X0)) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_155]) ).
tcf(c_12823,plain,
( ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_8904,c_153]) ).
tcf(c_12838,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),nil) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_232]) ).
tcf(c_12839,plain,
! [X0: $i,X1: $i] :
( ( app(nil,app(X0,X1)) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_155]) ).
tcf(c_12840,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK60)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_153,c_12218]) ).
tcf(c_12841,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK57)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_153,c_12213]) ).
tcf(c_12842,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_12823,c_12706,c_8915]) ).
tcf(c_12858,plain,
memberP(iPr_def_12,sK57),
inference(backward_subsumption_resolution,[status(thm)],[c_12308,c_12842]) ).
tcf(c_12869,plain,
app(iPr_def_12,nil) = iPr_def_12,
inference(superposition,[status(thm)],[c_12842,c_232]) ).
tcf(c_12870,plain,
app(nil,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_12842,c_155]) ).
tcf(c_12871,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_12,iPr_def_13) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11813,c_12869]) ).
tcf(c_12875,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,iPr_def_12) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11813,c_12870]) ).
tcf(c_12883,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,nil) = nil ) ),
inference(superposition,[status(thm)],[c_11839,c_12597]) ).
tcf(c_12900,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(nil,iPr_def_13) = nil ) ),
inference(superposition,[status(thm)],[c_11839,c_12757]) ).
tcf(c_12915,plain,
( memberP(iPr_def_10,sK60)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(app(nil,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_12765,c_12203]) ).
tcf(c_12916,plain,
( memberP(iPr_def_10,sK60)
| ( nil = sK56 )
| ~ ssItem(sK60)
| ~ ssList(app(nil,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12915,c_141]) ).
tcf(c_12944,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK52(X0),nil) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_232]) ).
tcf(c_12945,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK52(X0)) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_155]) ).
tcf(c_12970,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(sK8(X0,X1))
| ( sK40(sK8(X0,X1)) = sK41(sK8(X0,X1)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_123]) ).
tcf(c_12971,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(app(X0,X1))
| ( sK40(app(X0,X1)) = sK41(app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_123]) ).
tcf(c_12981,plain,
! [X0: $i] :
( totalorderedP(X0)
| duplicatefreeP(sK34(X0))
| ( sK40(sK34(X0)) = sK41(sK34(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_123]) ).
tcf(c_12982,plain,
! [X0: $i] :
( totalorderedP(X0)
| duplicatefreeP(sK33(X0))
| ( sK40(sK33(X0)) = sK41(sK33(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_123]) ).
tcf(c_12983,plain,
! [X0: $i] :
( totalorderedP(X0)
| duplicatefreeP(sK32(X0))
| ( sK40(sK32(X0)) = sK41(sK32(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_123]) ).
tcf(c_12984,plain,
! [X0: $i] :
( strictorderedP(X0)
| duplicatefreeP(sK39(X0))
| ( sK40(sK39(X0)) = sK41(sK39(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_123]) ).
tcf(c_12985,plain,
! [X0: $i] :
( strictorderedP(X0)
| duplicatefreeP(sK38(X0))
| ( sK40(sK38(X0)) = sK41(sK38(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_123]) ).
tcf(c_12986,plain,
! [X0: $i] :
( strictorderedP(X0)
| duplicatefreeP(sK37(X0))
| ( sK40(sK37(X0)) = sK41(sK37(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_123]) ).
tcf(c_12987,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| duplicatefreeP(sK44(X0))
| ( sK40(sK44(X0)) = sK41(sK44(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_123]) ).
tcf(c_12988,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| duplicatefreeP(sK43(X0))
| ( sK40(sK43(X0)) = sK41(sK43(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_123]) ).
tcf(c_12989,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| duplicatefreeP(sK42(X0))
| ( sK40(sK42(X0)) = sK41(sK42(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_123]) ).
tcf(c_12990,plain,
! [X0: $i] :
( equalelemsP(X0)
| duplicatefreeP(sK48(X0))
| ( sK40(sK48(X0)) = sK41(sK48(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_123]) ).
tcf(c_12991,plain,
! [X0: $i] :
( equalelemsP(X0)
| duplicatefreeP(sK47(X0))
| ( sK40(sK47(X0)) = sK41(sK47(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_123]) ).
tcf(c_12992,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(cons(X0,X1))
| ( sK40(cons(X0,X1)) = sK41(cons(X0,X1)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_123]) ).
tcf(c_12994,plain,
! [X0: $i] :
( duplicatefreeP(sK49(X0))
| ( X0 = nil )
| ( sK40(sK49(X0)) = sK41(sK49(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_123]) ).
tcf(c_12995,plain,
! [X0: $i] :
( duplicatefreeP(tl(X0))
| ( X0 = nil )
| ( sK40(tl(X0)) = sK41(tl(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_123]) ).
tcf(c_12996,plain,
! [X0: $i] :
( duplicatefreeP(sK52(X0))
| ( X0 = nil )
| ( sK40(sK52(X0)) = sK41(sK52(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_123]) ).
tcf(c_12997,plain,
( duplicatefreeP(sK59)
| ( sK40(sK59) = sK41(sK59) ) ),
inference(superposition,[status(thm)],[c_8916,c_123]) ).
tcf(c_12998,plain,
( duplicatefreeP(sK58)
| ( sK40(sK58) = sK41(sK58) ) ),
inference(superposition,[status(thm)],[c_8915,c_123]) ).
tcf(c_12999,plain,
( duplicatefreeP(sK56)
| ( sK40(sK56) = sK41(sK56) ) ),
inference(superposition,[status(thm)],[c_8907,c_123]) ).
tcf(c_13000,plain,
( duplicatefreeP(iPr_def_13)
| ( sK40(iPr_def_13) = sK41(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_11790,c_123]) ).
tcf(c_13001,plain,
( duplicatefreeP(iPr_def_12)
| ( sK40(iPr_def_12) = sK41(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_12842,c_123]) ).
tcf(c_13160,plain,
( memberP(iPr_def_10,sK60)
| ( nil = iPr_def_13 )
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(app(nil,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_12785,c_12203]) ).
tcf(c_13161,plain,
( memberP(iPr_def_10,sK60)
| ( nil = iPr_def_13 )
| ~ ssItem(sK60)
| ~ ssList(app(nil,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13160,c_141]) ).
tcf(c_13178,plain,
( memberP(iPr_def_10,sK60)
| ( nil = sK56 )
| ~ ssList(app(nil,iPr_def_10)) ),
inference(global_subsumption_just,[status(thm)],[c_12916,c_255,c_12916]) ).
tcf(c_13187,plain,
( memberP(iPr_def_10,sK60)
| ( nil = iPr_def_13 )
| ( nil = sK56 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_12785,c_13178]) ).
tcf(c_13188,plain,
( memberP(iPr_def_10,sK60)
| ( nil = sK56 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_12765,c_13178]) ).
tcf(c_13197,plain,
( memberP(iPr_def_10,sK60)
| ( nil = sK56 ) ),
inference(global_subsumption_just,[status(thm)],[c_13188,c_12744,c_13188]) ).
tcf(c_13211,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(nil,sK8(app(X0,cons(X1,X2)),X1)) = sK8(app(X0,cons(X1,X2)),X1) )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_54,c_12510]) ).
tcf(c_13212,plain,
( memberP(sK58,sK57)
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(sK59)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8917,c_12510]) ).
tcf(c_13213,plain,
( ( nil = sK56 )
| ( app(nil,sK8(sK56,sK60)) = sK8(sK56,sK60) )
| ~ ssList(sK56)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8911,c_12510]) ).
tcf(c_13214,plain,
( ( nil = iPr_def_13 )
| ( app(nil,sK8(sK56,sK60)) = sK8(sK56,sK60) )
| ~ ssList(sK56)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_11802,c_12510]) ).
tcf(c_13215,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_13 )
| ( app(nil,sK8(app(X0,iPr_def_11),sK57)) = sK8(app(X0,iPr_def_11),sK57) )
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ~ ssList(app(X0,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_12841,c_12510]) ).
tcf(c_13216,plain,
! [X0: $i] :
( ( app(nil,sK8(app(X0,iPr_def_11),sK57)) = sK8(app(X0,iPr_def_11),sK57) )
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_12209,c_12510]) ).
tcf(c_13217,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_13 )
| ( app(nil,sK8(app(X0,iPr_def_10),sK60)) = sK8(app(X0,iPr_def_10),sK60) )
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_13))
| ~ ssList(app(X0,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_12840,c_12510]) ).
tcf(c_13218,plain,
! [X0: $i] :
( ( app(nil,sK8(app(X0,iPr_def_10),sK60)) = sK8(app(X0,iPr_def_10),sK60) )
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_12203,c_12510]) ).
tcf(c_13219,plain,
( ( app(nil,sK8(iPr_def_12,sK57)) = sK8(iPr_def_12,sK57) )
| ~ ssList(iPr_def_12)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12858,c_12510]) ).
tcf(c_13220,plain,
( ( app(nil,sK8(iPr_def_11,sK57)) = sK8(iPr_def_11,sK57) )
| ~ ssList(iPr_def_11)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12779,c_12510]) ).
tcf(c_13221,plain,
( ( nil = sK56 )
| ( app(nil,sK8(iPr_def_10,sK60)) = sK8(iPr_def_10,sK60) )
| ~ ssList(iPr_def_10)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_13197,c_12510]) ).
tcf(c_13222,plain,
app(nil,sK8(iPr_def_11,sK57)) = sK8(iPr_def_11,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_13220,c_12706,c_8914]) ).
tcf(c_13223,plain,
app(nil,sK8(iPr_def_12,sK57)) = sK8(iPr_def_12,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_13219,c_12842,c_8914]) ).
tcf(c_13224,plain,
( memberP(sK58,sK57)
| ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13212,c_8916,c_8914]) ).
tcf(c_13231,plain,
( ( nil = iPr_def_13 )
| ( app(nil,sK8(sK56,sK60)) = sK8(sK56,sK60) )
| ~ ssItem(sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13214,c_8907]) ).
tcf(c_13235,plain,
( ( nil = sK56 )
| ( app(nil,sK8(sK56,sK60)) = sK8(sK56,sK60) )
| ~ ssItem(sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13213,c_8907]) ).
tcf(c_13243,plain,
! [X0: $i] :
( ( app(nil,sK8(app(X0,iPr_def_11),sK57)) = sK8(app(X0,iPr_def_11),sK57) )
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13216,c_8914]) ).
tcf(c_13253,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_13 )
| ( app(nil,sK8(app(X0,iPr_def_11),sK57)) = sK8(app(X0,iPr_def_11),sK57) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_13))
| ~ ssList(app(X0,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13215,c_8914]) ).
tcf(c_13279,plain,
( memberP(iPr_def_10,sK60)
| ~ ssList(nil)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8902,c_168]) ).
tcf(c_13280,plain,
( memberP(iPr_def_10,sK60)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_11861,c_168]) ).
tcf(c_13282,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK8(cons(X0,X1),X0)) = sK8(cons(X0,X1),X0) )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_168,c_12510]) ).
tcf(c_13283,plain,
( memberP(iPr_def_10,sK60)
| ~ ssItem(sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13279,c_141]) ).
tcf(c_13286,plain,
( memberP(iPr_def_10,sK60)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13280,c_11790]) ).
tcf(c_13308,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_13 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_11813,c_182]) ).
tcf(c_13323,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_13 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ rearsegP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_11813,c_189]) ).
tcf(c_13338,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_13 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_11813,c_196]) ).
tcf(c_13347,plain,
( ( app(nil,sK8(iPr_def_10,sK60)) = sK8(iPr_def_10,sK60) )
| ~ ssList(iPr_def_10)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_13283,c_12510]) ).
tcf(c_13366,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK8(iPr_def_11,sK57)) = sK8(iPr_def_11,sK57) ) ),
inference(superposition,[status(thm)],[c_11813,c_13222]) ).
tcf(c_13370,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK8(iPr_def_12,sK57)) = sK8(iPr_def_12,sK57) ) ),
inference(superposition,[status(thm)],[c_11813,c_13223]) ).
tcf(c_13378,plain,
( ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(sK58)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_13224,c_12510]) ).
tcf(c_13379,plain,
( ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13378,c_8915,c_8914]) ).
tcf(c_13385,plain,
( ( nil = iPr_def_13 )
| ( app(nil,sK8(sK56,sK60)) = sK8(sK56,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13231,c_11791]) ).
tcf(c_13395,plain,
( ( nil = sK56 )
| ( app(nil,sK8(sK56,sK60)) = sK8(sK56,sK60) ) ),
inference(global_subsumption_just,[status(thm)],[c_13235,c_255,c_13235]) ).
tcf(c_13408,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) ) ),
inference(superposition,[status(thm)],[c_11813,c_13379]) ).
tcf(c_13419,plain,
! [X0: $i] :
( ( app(nil,sK8(app(X0,iPr_def_11),sK57)) = sK8(app(X0,iPr_def_11),sK57) )
| ~ ssList(iPr_def_11)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_13243]) ).
tcf(c_13420,plain,
( ( app(nil,sK8(app(sK58,iPr_def_11),sK57)) = sK8(app(sK58,iPr_def_11),sK57) )
| ~ ssList(iPr_def_12)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_8904,c_13243]) ).
tcf(c_13421,plain,
( ( app(nil,sK8(app(nil,iPr_def_11),sK57)) = sK8(app(nil,iPr_def_11),sK57) )
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12739,c_13243]) ).
tcf(c_13425,plain,
! [X0: $i] :
( ( app(nil,sK8(app(X0,iPr_def_11),sK57)) = sK8(app(X0,iPr_def_11),sK57) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13419,c_12706]) ).
tcf(c_13448,plain,
( rearsegP(iPr_def_12,iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_8904,c_379]) ).
tcf(c_13449,plain,
( rearsegP(iPr_def_13,sK59)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_8905,c_379]) ).
tcf(c_13451,plain,
( rearsegP(iPr_def_11,iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12739,c_379]) ).
tcf(c_13452,plain,
( rearsegP(iPr_def_10,iPr_def_10)
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12785,c_379]) ).
tcf(c_13453,plain,
( rearsegP(iPr_def_10,iPr_def_10)
| ( nil = sK56 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12765,c_379]) ).
tcf(c_13454,plain,
( rearsegP(sK59,sK59)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12532,c_379]) ).
tcf(c_13455,plain,
( rearsegP(sK58,sK58)
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12533,c_379]) ).
tcf(c_13456,plain,
( rearsegP(sK56,sK56)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12534,c_379]) ).
tcf(c_13457,plain,
( rearsegP(iPr_def_13,iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12535,c_379]) ).
tcf(c_13461,plain,
( rearsegP(sK59,nil)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12632,c_379]) ).
tcf(c_13462,plain,
( rearsegP(sK58,nil)
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12633,c_379]) ).
tcf(c_13463,plain,
( rearsegP(sK56,nil)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12634,c_379]) ).
tcf(c_13464,plain,
( rearsegP(iPr_def_13,nil)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12635,c_379]) ).
tcf(c_13465,plain,
( rearsegP(iPr_def_11,nil)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12738,c_379]) ).
tcf(c_13466,plain,
( rearsegP(sK59,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_12750,c_379]) ).
tcf(c_13467,plain,
( rearsegP(sK58,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_12753,c_379]) ).
tcf(c_13468,plain,
( rearsegP(sK56,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_12757,c_379]) ).
tcf(c_13469,plain,
( rearsegP(iPr_def_10,nil)
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12784,c_379]) ).
tcf(c_13470,plain,
( rearsegP(iPr_def_10,nil)
| ( nil = sK56 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12764,c_379]) ).
tcf(c_13471,plain,
( rearsegP(iPr_def_11,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_12771,c_379]) ).
tcf(c_13473,plain,
( rearsegP(iPr_def_12,nil)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12869,c_379]) ).
tcf(c_13474,plain,
( rearsegP(iPr_def_12,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12870,c_379]) ).
tcf(c_13475,plain,
( rearsegP(iPr_def_12,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_12871,c_379]) ).
tcf(c_13477,plain,
( rearsegP(sK8(sK59,sK57),sK8(sK59,sK57))
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(nil)
| ~ ssList(sK8(sK59,sK57)) ),
inference(superposition,[status(thm)],[c_13379,c_379]) ).
tcf(c_13478,plain,
( rearsegP(sK8(sK56,sK60),sK8(sK56,sK60))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(sK8(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_13395,c_379]) ).
tcf(c_13479,plain,
( rearsegP(sK8(sK56,sK60),sK8(sK56,sK60))
| ( nil = iPr_def_13 )
| ~ ssList(nil)
| ~ ssList(sK8(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_13385,c_379]) ).
tcf(c_13480,plain,
( rearsegP(sK8(iPr_def_12,sK57),sK8(iPr_def_12,sK57))
| ~ ssList(nil)
| ~ ssList(sK8(iPr_def_12,sK57)) ),
inference(superposition,[status(thm)],[c_13223,c_379]) ).
tcf(c_13481,plain,
( rearsegP(sK8(iPr_def_11,sK57),sK8(iPr_def_11,sK57))
| ~ ssList(nil)
| ~ ssList(sK8(iPr_def_11,sK57)) ),
inference(superposition,[status(thm)],[c_13222,c_379]) ).
tcf(c_13482,plain,
( rearsegP(sK8(iPr_def_11,sK57),sK8(iPr_def_11,sK57))
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK8(iPr_def_11,sK57)) ),
inference(superposition,[status(thm)],[c_13366,c_379]) ).
tcf(c_13483,plain,
rearsegP(iPr_def_12,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_13474,c_12842,c_141]) ).
tcf(c_13484,plain,
rearsegP(iPr_def_12,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13473,c_12842,c_141]) ).
tcf(c_13485,plain,
rearsegP(iPr_def_11,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13465,c_12706,c_141]) ).
tcf(c_13486,plain,
rearsegP(iPr_def_13,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13464,c_11790,c_141]) ).
tcf(c_13487,plain,
rearsegP(sK56,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13463,c_8907,c_141]) ).
tcf(c_13488,plain,
rearsegP(sK58,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13462,c_8915,c_141]) ).
tcf(c_13489,plain,
rearsegP(sK59,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13461,c_8916,c_141]) ).
tcf(c_13490,plain,
rearsegP(iPr_def_13,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_13457,c_11790,c_141]) ).
tcf(c_13491,plain,
rearsegP(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_13456,c_8907,c_141]) ).
tcf(c_13492,plain,
rearsegP(sK58,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_13455,c_8915,c_141]) ).
tcf(c_13493,plain,
rearsegP(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_13454,c_8916,c_141]) ).
tcf(c_13494,plain,
rearsegP(iPr_def_11,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_13451,c_12706,c_141]) ).
tcf(c_13495,plain,
rearsegP(iPr_def_13,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_13449,c_12842,c_8916]) ).
tcf(c_13496,plain,
rearsegP(iPr_def_12,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_13448,c_12706,c_8915]) ).
tcf(c_13497,plain,
( rearsegP(iPr_def_12,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13475,c_11790,c_12842]) ).
tcf(c_13500,plain,
( rearsegP(iPr_def_11,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13471,c_11790,c_12706]) ).
tcf(c_13503,plain,
( rearsegP(iPr_def_10,nil)
| ( nil = sK56 )
| ~ ssList(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13470,c_141]) ).
tcf(c_13507,plain,
( rearsegP(iPr_def_10,nil)
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13469,c_141]) ).
tcf(c_13511,plain,
( rearsegP(sK56,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13468,c_11790,c_8907]) ).
tcf(c_13514,plain,
( rearsegP(sK58,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13467,c_11790,c_8915]) ).
tcf(c_13517,plain,
( rearsegP(sK59,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13466,c_11790,c_8916]) ).
tcf(c_13520,plain,
( rearsegP(iPr_def_10,iPr_def_10)
| ( nil = sK56 )
| ~ ssList(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13453,c_141]) ).
tcf(c_13524,plain,
( rearsegP(iPr_def_10,iPr_def_10)
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13452,c_141]) ).
tcf(c_13528,plain,
( rearsegP(sK8(iPr_def_11,sK57),sK8(iPr_def_11,sK57))
| ~ ssList(sK8(iPr_def_11,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13481,c_141]) ).
tcf(c_13531,plain,
( rearsegP(sK8(iPr_def_12,sK57),sK8(iPr_def_12,sK57))
| ~ ssList(sK8(iPr_def_12,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13480,c_141]) ).
tcf(c_13534,plain,
( rearsegP(sK8(iPr_def_11,sK57),sK8(iPr_def_11,sK57))
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(sK8(iPr_def_11,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13482,c_11790]) ).
tcf(c_13538,plain,
( rearsegP(sK8(sK56,sK60),sK8(sK56,sK60))
| ( nil = iPr_def_13 )
| ~ ssList(sK8(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13479,c_141]) ).
tcf(c_13542,plain,
( rearsegP(sK8(sK56,sK60),sK8(sK56,sK60))
| ( nil = sK56 )
| ~ ssList(sK8(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13478,c_141]) ).
tcf(c_13546,plain,
( rearsegP(sK8(sK59,sK57),sK8(sK59,sK57))
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(sK8(sK59,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13477,c_141]) ).
tcf(c_13575,plain,
( frontsegP(iPr_def_12,sK58)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_8904,c_382]) ).
tcf(c_13576,plain,
( frontsegP(iPr_def_13,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_8905,c_382]) ).
tcf(c_13578,plain,
( frontsegP(iPr_def_11,nil)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12739,c_382]) ).
tcf(c_13579,plain,
( frontsegP(iPr_def_10,nil)
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12785,c_382]) ).
tcf(c_13580,plain,
( frontsegP(iPr_def_10,nil)
| ( nil = sK56 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12765,c_382]) ).
tcf(c_13581,plain,
( frontsegP(sK59,nil)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12532,c_382]) ).
tcf(c_13582,plain,
( frontsegP(sK58,nil)
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12533,c_382]) ).
tcf(c_13583,plain,
( frontsegP(sK56,nil)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12534,c_382]) ).
tcf(c_13584,plain,
( frontsegP(iPr_def_13,nil)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12535,c_382]) ).
tcf(c_13585,plain,
( frontsegP(sK59,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_12591,c_382]) ).
tcf(c_13586,plain,
( frontsegP(sK58,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_12594,c_382]) ).
tcf(c_13587,plain,
( frontsegP(sK56,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_12597,c_382]) ).
tcf(c_13588,plain,
( frontsegP(sK59,sK59)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12632,c_382]) ).
tcf(c_13589,plain,
( frontsegP(sK58,sK58)
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12633,c_382]) ).
tcf(c_13590,plain,
( frontsegP(sK56,sK56)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12634,c_382]) ).
tcf(c_13591,plain,
( frontsegP(iPr_def_13,iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12635,c_382]) ).
tcf(c_13592,plain,
( frontsegP(iPr_def_11,iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12738,c_382]) ).
tcf(c_13596,plain,
( frontsegP(iPr_def_10,iPr_def_10)
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12784,c_382]) ).
tcf(c_13597,plain,
( frontsegP(iPr_def_10,iPr_def_10)
| ( nil = sK56 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12764,c_382]) ).
tcf(c_13599,plain,
( frontsegP(iPr_def_11,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_12774,c_382]) ).
tcf(c_13600,plain,
( frontsegP(iPr_def_12,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12869,c_382]) ).
tcf(c_13601,plain,
( frontsegP(iPr_def_12,nil)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12870,c_382]) ).
tcf(c_13603,plain,
( frontsegP(iPr_def_12,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_12875,c_382]) ).
tcf(c_13604,plain,
( frontsegP(sK8(sK59,sK57),nil)
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(nil)
| ~ ssList(sK8(sK59,sK57)) ),
inference(superposition,[status(thm)],[c_13379,c_382]) ).
tcf(c_13605,plain,
( frontsegP(sK8(sK56,sK60),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(sK8(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_13395,c_382]) ).
tcf(c_13606,plain,
( frontsegP(sK8(sK56,sK60),nil)
| ( nil = iPr_def_13 )
| ~ ssList(nil)
| ~ ssList(sK8(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_13385,c_382]) ).
tcf(c_13607,plain,
( frontsegP(sK8(iPr_def_12,sK57),nil)
| ~ ssList(nil)
| ~ ssList(sK8(iPr_def_12,sK57)) ),
inference(superposition,[status(thm)],[c_13223,c_382]) ).
tcf(c_13608,plain,
( frontsegP(sK8(iPr_def_11,sK57),nil)
| ~ ssList(nil)
| ~ ssList(sK8(iPr_def_11,sK57)) ),
inference(superposition,[status(thm)],[c_13222,c_382]) ).
tcf(c_13609,plain,
( frontsegP(sK8(iPr_def_11,sK57),iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK8(iPr_def_11,sK57)) ),
inference(superposition,[status(thm)],[c_13366,c_382]) ).
tcf(c_13610,plain,
frontsegP(iPr_def_12,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13601,c_12842,c_141]) ).
tcf(c_13611,plain,
frontsegP(iPr_def_12,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_13600,c_12842,c_141]) ).
tcf(c_13612,plain,
frontsegP(iPr_def_11,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_13592,c_12706,c_141]) ).
tcf(c_13613,plain,
frontsegP(iPr_def_13,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_13591,c_11790,c_141]) ).
tcf(c_13614,plain,
frontsegP(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_13590,c_8907,c_141]) ).
tcf(c_13615,plain,
frontsegP(sK58,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_13589,c_8915,c_141]) ).
tcf(c_13616,plain,
frontsegP(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_13588,c_8916,c_141]) ).
tcf(c_13617,plain,
frontsegP(iPr_def_13,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13584,c_11790,c_141]) ).
tcf(c_13618,plain,
frontsegP(sK56,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13583,c_8907,c_141]) ).
tcf(c_13619,plain,
frontsegP(sK58,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13582,c_8915,c_141]) ).
tcf(c_13620,plain,
frontsegP(sK59,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13581,c_8916,c_141]) ).
tcf(c_13621,plain,
frontsegP(iPr_def_11,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13578,c_12706,c_141]) ).
tcf(c_13622,plain,
frontsegP(iPr_def_13,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_13576,c_12842,c_8916]) ).
tcf(c_13623,plain,
frontsegP(iPr_def_12,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_13575,c_12706,c_8915]) ).
tcf(c_13624,plain,
( frontsegP(sK8(iPr_def_11,sK57),nil)
| ~ ssList(sK8(iPr_def_11,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13608,c_141]) ).
tcf(c_13627,plain,
( frontsegP(sK8(iPr_def_12,sK57),nil)
| ~ ssList(sK8(iPr_def_12,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13607,c_141]) ).
tcf(c_13630,plain,
( frontsegP(iPr_def_12,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13603,c_11790,c_12842]) ).
tcf(c_13633,plain,
( frontsegP(iPr_def_11,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13599,c_11790,c_12706]) ).
tcf(c_13636,plain,
( frontsegP(iPr_def_10,iPr_def_10)
| ( nil = sK56 )
| ~ ssList(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13597,c_141]) ).
tcf(c_13640,plain,
( frontsegP(iPr_def_10,iPr_def_10)
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13596,c_141]) ).
tcf(c_13644,plain,
( frontsegP(sK56,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13587,c_11790,c_8907]) ).
tcf(c_13647,plain,
( frontsegP(sK58,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13586,c_11790,c_8915]) ).
tcf(c_13650,plain,
( frontsegP(sK59,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13585,c_11790,c_8916]) ).
tcf(c_13653,plain,
( frontsegP(iPr_def_10,nil)
| ( nil = sK56 )
| ~ ssList(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13580,c_141]) ).
tcf(c_13657,plain,
( frontsegP(iPr_def_10,nil)
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13579,c_141]) ).
tcf(c_13661,plain,
( frontsegP(sK8(iPr_def_11,sK57),iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(sK8(iPr_def_11,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13609,c_11790]) ).
tcf(c_13665,plain,
( frontsegP(sK8(sK56,sK60),nil)
| ( nil = iPr_def_13 )
| ~ ssList(sK8(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13606,c_141]) ).
tcf(c_13669,plain,
( frontsegP(sK8(sK56,sK60),nil)
| ( nil = sK56 )
| ~ ssList(sK8(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13605,c_141]) ).
tcf(c_13673,plain,
( frontsegP(sK8(sK59,sK57),nil)
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(sK8(sK59,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13604,c_141]) ).
tcf(c_13710,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_58]) ).
tcf(c_13711,plain,
( singletonP(cons(sK57,nil))
| ~ ssList(iPr_def_11)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8903,c_58]) ).
tcf(c_13712,plain,
( singletonP(cons(sK60,nil))
| ~ ssList(iPr_def_10)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8902,c_58]) ).
tcf(c_13718,plain,
( singletonP(iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssItem(sK57) ),
inference(light_normalisation,[status(thm)],[c_13711,c_8903]) ).
tcf(c_13720,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13710,c_141]) ).
tcf(c_13745,plain,
( frontsegP(sK8(iPr_def_12,sK57),iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK8(iPr_def_12,sK57)) ),
inference(superposition,[status(thm)],[c_13370,c_382]) ).
tcf(c_13746,plain,
( rearsegP(sK8(iPr_def_12,sK57),sK8(iPr_def_12,sK57))
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK8(iPr_def_12,sK57)) ),
inference(superposition,[status(thm)],[c_13370,c_379]) ).
tcf(c_13748,plain,
( frontsegP(sK8(iPr_def_12,sK57),iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(sK8(iPr_def_12,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13745,c_11790]) ).
tcf(c_13752,plain,
( rearsegP(sK8(iPr_def_12,sK57),sK8(iPr_def_12,sK57))
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(sK8(iPr_def_12,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13746,c_11790]) ).
tcf(c_13768,plain,
( ~ ssList(nil)
| ~ ssItem(sK57)
| ( nil != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_8903,c_142]) ).
tcf(c_13769,plain,
( ~ ssList(nil)
| ~ ssItem(sK60)
| ( nil != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_8902,c_142]) ).
tcf(c_13771,plain,
( ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssItem(sK57)
| ( iPr_def_11 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11921,c_142]) ).
tcf(c_13772,plain,
( ~ ssItem(sK60)
| ( nil != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13769,c_141]) ).
tcf(c_13775,plain,
nil != iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_13768,c_141,c_8914]) ).
tcf(c_13776,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( iPr_def_11 != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13771,c_11790,c_8914]) ).
tcf(c_13801,plain,
! [X0: $i] :
( ( hd(cons(sK6,X0)) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_51,c_150]) ).
tcf(c_13802,plain,
! [X0: $i] :
( ( hd(cons(sK7,X0)) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_52,c_150]) ).
tcf(c_13803,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK10(X0),X1)) = sK10(X0) )
| ~ singletonP(X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_59,c_150]) ).
tcf(c_13810,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( hd(cons(sK31(X0),X1)) = sK31(X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112,c_150]) ).
tcf(c_13811,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( hd(cons(sK30(X0),X1)) = sK30(X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_113,c_150]) ).
tcf(c_13812,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( hd(cons(sK36(X0),X1)) = sK36(X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_120,c_150]) ).
tcf(c_13813,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( hd(cons(sK35(X0),X1)) = sK35(X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_121,c_150]) ).
tcf(c_13814,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK41(X0),X1)) = sK41(X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_128,c_150]) ).
tcf(c_13815,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK40(X0),X1)) = sK40(X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_129,c_150]) ).
tcf(c_13816,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( hd(cons(sK46(X0),X1)) = sK46(X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_135,c_150]) ).
tcf(c_13817,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( hd(cons(sK45(X0),X1)) = sK45(X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_136,c_150]) ).
tcf(c_13818,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( hd(cons(sK50(X0),X1)) = sK50(X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_146,c_150]) ).
tcf(c_13819,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( hd(cons(hd(X0),X1)) = hd(X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_149,c_150]) ).
tcf(c_13820,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( hd(cons(sK51(X0),X1)) = sK51(X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_219,c_150]) ).
tcf(c_13821,plain,
! [X0: $i] :
( ( hd(cons(sK57,X0)) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8914,c_150]) ).
tcf(c_13822,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( hd(cons(sK60,X0)) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8909,c_150]) ).
tcf(c_13823,plain,
! [X0: $i] :
( ( nil = iPr_def_13 )
| ( hd(cons(sK60,X0)) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_11791,c_150]) ).
tcf(c_13948,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ( app(iPr_def_13,sK8(sK58,sK57)) = sK8(sK58,sK57) ) ),
inference(superposition,[status(thm)],[c_11813,c_13408]) ).
tcf(c_13949,plain,
( frontsegP(sK8(sK58,sK57),nil)
| ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(nil)
| ~ ssList(sK8(sK58,sK57)) ),
inference(superposition,[status(thm)],[c_13408,c_382]) ).
tcf(c_13950,plain,
( rearsegP(sK8(sK58,sK57),sK8(sK58,sK57))
| ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(nil)
| ~ ssList(sK8(sK58,sK57)) ),
inference(superposition,[status(thm)],[c_13408,c_379]) ).
tcf(c_13955,plain,
( frontsegP(sK8(sK58,sK57),nil)
| ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(sK8(sK58,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13949,c_141]) ).
tcf(c_13960,plain,
( rearsegP(sK8(sK58,sK57),sK8(sK58,sK57))
| ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ~ ssList(sK8(sK58,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13950,c_141]) ).
tcf(c_13977,plain,
! [X0: $i] :
( ( tl(cons(sK6,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_51,c_152]) ).
tcf(c_13978,plain,
! [X0: $i] :
( ( tl(cons(sK7,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_52,c_152]) ).
tcf(c_13979,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK10(X0),X1)) = X1 )
| ~ singletonP(X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_59,c_152]) ).
tcf(c_13986,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( tl(cons(sK31(X0),X1)) = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112,c_152]) ).
tcf(c_13987,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( tl(cons(sK30(X0),X1)) = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_113,c_152]) ).
tcf(c_13988,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( tl(cons(sK36(X0),X1)) = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_120,c_152]) ).
tcf(c_13989,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( tl(cons(sK35(X0),X1)) = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_121,c_152]) ).
tcf(c_13990,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK41(X0),X1)) = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_128,c_152]) ).
tcf(c_13991,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK40(X0),X1)) = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_129,c_152]) ).
tcf(c_13992,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( tl(cons(sK46(X0),X1)) = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_135,c_152]) ).
tcf(c_13993,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( tl(cons(sK45(X0),X1)) = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_136,c_152]) ).
tcf(c_13994,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( tl(cons(sK50(X0),X1)) = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_146,c_152]) ).
tcf(c_13995,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( tl(cons(hd(X0),X1)) = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_149,c_152]) ).
tcf(c_13996,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( tl(cons(sK51(X0),X1)) = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_219,c_152]) ).
tcf(c_13997,plain,
! [X0: $i] :
( ( tl(cons(sK57,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8914,c_152]) ).
tcf(c_13998,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( tl(cons(sK60,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8909,c_152]) ).
tcf(c_13999,plain,
! [X0: $i] :
( ( nil = iPr_def_13 )
| ( tl(cons(sK60,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_11791,c_152]) ).
tcf(c_14162,plain,
( rearsegP(nil,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11839,c_13511]) ).
tcf(c_14177,plain,
( frontsegP(nil,iPr_def_13)
| ( iPr_def_10 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11839,c_13644]) ).
tcf(c_14198,plain,
( frontsegP(sK8(sK59,sK57),iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(iPr_def_13)
| ~ ssList(sK8(sK59,sK57)) ),
inference(superposition,[status(thm)],[c_13948,c_382]) ).
tcf(c_14199,plain,
( rearsegP(sK8(sK59,sK57),sK8(sK59,sK57))
| ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(iPr_def_13)
| ~ ssList(sK8(sK59,sK57)) ),
inference(superposition,[status(thm)],[c_13948,c_379]) ).
tcf(c_14201,plain,
( frontsegP(sK8(sK59,sK57),iPr_def_13)
| ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(sK8(sK59,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14198,c_11790]) ).
tcf(c_14206,plain,
( rearsegP(sK8(sK59,sK57),sK8(sK59,sK57))
| ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(sK8(sK59,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14199,c_11790]) ).
tcf(c_14225,plain,
! [X0: $i,X1: $i] :
( ( sK8(X0,X1) = nil )
| ( hd(sK8(X0,X1)) = sK51(sK8(X0,X1)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_220]) ).
tcf(c_14226,plain,
! [X0: $i,X1: $i] :
( ( app(X0,X1) = nil )
| ( hd(app(X0,X1)) = sK51(app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_220]) ).
tcf(c_14236,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( sK34(X0) = nil )
| ( hd(sK34(X0)) = sK51(sK34(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_220]) ).
tcf(c_14237,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( sK33(X0) = nil )
| ( hd(sK33(X0)) = sK51(sK33(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_220]) ).
tcf(c_14238,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( sK32(X0) = nil )
| ( hd(sK32(X0)) = sK51(sK32(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_220]) ).
tcf(c_14239,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( sK39(X0) = nil )
| ( hd(sK39(X0)) = sK51(sK39(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_220]) ).
tcf(c_14240,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( sK38(X0) = nil )
| ( hd(sK38(X0)) = sK51(sK38(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_220]) ).
tcf(c_14241,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( sK37(X0) = nil )
| ( hd(sK37(X0)) = sK51(sK37(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_220]) ).
tcf(c_14242,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK44(X0) = nil )
| ( hd(sK44(X0)) = sK51(sK44(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_220]) ).
tcf(c_14243,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK43(X0) = nil )
| ( hd(sK43(X0)) = sK51(sK43(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_220]) ).
tcf(c_14244,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK42(X0) = nil )
| ( hd(sK42(X0)) = sK51(sK42(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_220]) ).
tcf(c_14245,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( sK48(X0) = nil )
| ( hd(sK48(X0)) = sK51(sK48(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_220]) ).
tcf(c_14246,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( sK47(X0) = nil )
| ( hd(sK47(X0)) = sK51(sK47(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_220]) ).
tcf(c_14247,plain,
! [X0: $i,X1: $i] :
( ( cons(X0,X1) = nil )
| ( hd(cons(X0,X1)) = sK51(cons(X0,X1)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_220]) ).
tcf(c_14249,plain,
! [X0: $i] :
( ( X0 = nil )
| ( sK49(X0) = nil )
| ( hd(sK49(X0)) = sK51(sK49(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_220]) ).
tcf(c_14250,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(X0) = nil )
| ( hd(tl(X0)) = sK51(tl(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_220]) ).
tcf(c_14251,plain,
! [X0: $i] :
( ( X0 = nil )
| ( sK52(X0) = nil )
| ( hd(sK52(X0)) = sK51(sK52(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_220]) ).
tcf(c_14252,plain,
( ( nil = sK59 )
| ( hd(sK59) = sK51(sK59) ) ),
inference(superposition,[status(thm)],[c_8916,c_220]) ).
tcf(c_14253,plain,
( ( nil = sK58 )
| ( hd(sK58) = sK51(sK58) ) ),
inference(superposition,[status(thm)],[c_8915,c_220]) ).
tcf(c_14254,plain,
( ( nil = sK56 )
| ( hd(sK56) = sK51(sK56) ) ),
inference(superposition,[status(thm)],[c_8907,c_220]) ).
tcf(c_14255,plain,
( ( nil = iPr_def_13 )
| ( hd(iPr_def_13) = sK51(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_11790,c_220]) ).
tcf(c_14256,plain,
( ( nil = iPr_def_12 )
| ( hd(iPr_def_12) = sK51(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_12842,c_220]) ).
tcf(c_14257,plain,
( ( nil = iPr_def_11 )
| ( hd(iPr_def_11) = sK51(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_12706,c_220]) ).
tcf(c_14258,plain,
( ( nil = iPr_def_13 )
| ( nil = iPr_def_10 )
| ( hd(iPr_def_10) = sK51(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_12745,c_220]) ).
tcf(c_14259,plain,
( ( nil = iPr_def_10 )
| ( nil = sK56 )
| ( hd(iPr_def_10) = sK51(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_12744,c_220]) ).
tcf(c_14260,plain,
hd(iPr_def_11) = sK51(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_14257,c_13775]) ).
tcf(c_14410,plain,
! [X0: $i,X1: $i] :
( ( sK8(X0,X1) = nil )
| ( tl(sK8(X0,X1)) = sK52(sK8(X0,X1)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_222]) ).
tcf(c_14411,plain,
! [X0: $i,X1: $i] :
( ( app(X0,X1) = nil )
| ( tl(app(X0,X1)) = sK52(app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_222]) ).
tcf(c_14421,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( sK34(X0) = nil )
| ( tl(sK34(X0)) = sK52(sK34(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_222]) ).
tcf(c_14422,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( sK33(X0) = nil )
| ( tl(sK33(X0)) = sK52(sK33(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_222]) ).
tcf(c_14423,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( sK32(X0) = nil )
| ( tl(sK32(X0)) = sK52(sK32(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_222]) ).
tcf(c_14424,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( sK39(X0) = nil )
| ( tl(sK39(X0)) = sK52(sK39(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_222]) ).
tcf(c_14425,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( sK38(X0) = nil )
| ( tl(sK38(X0)) = sK52(sK38(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_222]) ).
tcf(c_14426,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( sK37(X0) = nil )
| ( tl(sK37(X0)) = sK52(sK37(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_222]) ).
tcf(c_14427,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK44(X0) = nil )
| ( tl(sK44(X0)) = sK52(sK44(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_222]) ).
tcf(c_14428,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK43(X0) = nil )
| ( tl(sK43(X0)) = sK52(sK43(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_222]) ).
tcf(c_14429,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK42(X0) = nil )
| ( tl(sK42(X0)) = sK52(sK42(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_222]) ).
tcf(c_14430,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( sK48(X0) = nil )
| ( tl(sK48(X0)) = sK52(sK48(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_222]) ).
tcf(c_14431,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( sK47(X0) = nil )
| ( tl(sK47(X0)) = sK52(sK47(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_222]) ).
tcf(c_14432,plain,
! [X0: $i,X1: $i] :
( ( cons(X0,X1) = nil )
| ( tl(cons(X0,X1)) = sK52(cons(X0,X1)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_222]) ).
tcf(c_14434,plain,
! [X0: $i] :
( ( X0 = nil )
| ( sK49(X0) = nil )
| ( tl(sK49(X0)) = sK52(sK49(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_222]) ).
tcf(c_14435,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(X0) = nil )
| ( tl(tl(X0)) = sK52(tl(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_222]) ).
tcf(c_14436,plain,
! [X0: $i] :
( ( X0 = nil )
| ( sK52(X0) = nil )
| ( tl(sK52(X0)) = sK52(sK52(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_222]) ).
tcf(c_14437,plain,
( ( nil = sK59 )
| ( tl(sK59) = sK52(sK59) ) ),
inference(superposition,[status(thm)],[c_8916,c_222]) ).
tcf(c_14438,plain,
( ( nil = sK58 )
| ( tl(sK58) = sK52(sK58) ) ),
inference(superposition,[status(thm)],[c_8915,c_222]) ).
tcf(c_14439,plain,
( ( nil = sK56 )
| ( tl(sK56) = sK52(sK56) ) ),
inference(superposition,[status(thm)],[c_8907,c_222]) ).
tcf(c_14440,plain,
( ( nil = iPr_def_13 )
| ( tl(iPr_def_13) = sK52(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_11790,c_222]) ).
tcf(c_14441,plain,
( ( nil = iPr_def_12 )
| ( tl(iPr_def_12) = sK52(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_12842,c_222]) ).
tcf(c_14442,plain,
( ( nil = iPr_def_11 )
| ( tl(iPr_def_11) = sK52(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_12706,c_222]) ).
tcf(c_14443,plain,
( ( nil = iPr_def_13 )
| ( nil = iPr_def_10 )
| ( tl(iPr_def_10) = sK52(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_12745,c_222]) ).
tcf(c_14444,plain,
( ( nil = iPr_def_10 )
| ( nil = sK56 )
| ( tl(iPr_def_10) = sK52(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_12744,c_222]) ).
tcf(c_14445,plain,
tl(iPr_def_11) = sK52(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_14442,c_13775]) ).
tcf(c_14603,plain,
( ssItem(hd(iPr_def_11))
| ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_14260,c_219]) ).
tcf(c_14604,plain,
ssItem(hd(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_14603,c_13775,c_12706]) ).
tcf(c_14605,plain,
! [X0: $i] :
( ( tl(cons(hd(iPr_def_11),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_14604,c_152]) ).
tcf(c_14606,plain,
! [X0: $i] :
( ( hd(cons(hd(iPr_def_11),X0)) = hd(iPr_def_11) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_14604,c_150]) ).
tcf(c_14613,plain,
( ssList(tl(iPr_def_11))
| ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_14445,c_221]) ).
tcf(c_14614,plain,
ssList(tl(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_14613,c_13775,c_12706]) ).
tcf(c_14617,plain,
( ( tl(iPr_def_11) = nil )
| ( tl(tl(iPr_def_11)) = sK52(tl(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_14614,c_222]) ).
tcf(c_14618,plain,
( ( tl(iPr_def_11) = nil )
| ( hd(tl(iPr_def_11)) = sK51(tl(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_14614,c_220]) ).
tcf(c_14619,plain,
( duplicatefreeP(tl(iPr_def_11))
| ( sK40(tl(iPr_def_11)) = sK41(tl(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_14614,c_123]) ).
tcf(c_14620,plain,
app(tl(iPr_def_11),nil) = tl(iPr_def_11),
inference(superposition,[status(thm)],[c_14614,c_232]) ).
tcf(c_14621,plain,
app(nil,tl(iPr_def_11)) = tl(iPr_def_11),
inference(superposition,[status(thm)],[c_14614,c_155]) ).
tcf(c_14640,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK57,sK8(X0,X1))) = sK57 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_13821]) ).
tcf(c_14641,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK57,app(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_13821]) ).
tcf(c_14651,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK57,sK34(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_13821]) ).
tcf(c_14652,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK57,sK33(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_13821]) ).
tcf(c_14653,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK57,sK32(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_13821]) ).
tcf(c_14654,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK57,sK39(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_13821]) ).
tcf(c_14655,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK57,sK38(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_13821]) ).
tcf(c_14656,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK57,sK37(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_13821]) ).
tcf(c_14657,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK57,sK44(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_13821]) ).
tcf(c_14658,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK57,sK43(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_13821]) ).
tcf(c_14659,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK57,sK42(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_13821]) ).
tcf(c_14660,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK57,sK48(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_13821]) ).
tcf(c_14661,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK57,sK47(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_13821]) ).
tcf(c_14662,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK57,cons(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_13821]) ).
tcf(c_14663,plain,
hd(cons(sK57,nil)) = sK57,
inference(superposition,[status(thm)],[c_141,c_13821]) ).
tcf(c_14664,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK57,sK49(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_13821]) ).
tcf(c_14665,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK57,tl(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_13821]) ).
tcf(c_14666,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK57,sK52(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_13821]) ).
tcf(c_14667,plain,
hd(cons(sK57,sK59)) = sK57,
inference(superposition,[status(thm)],[c_8916,c_13821]) ).
tcf(c_14668,plain,
hd(cons(sK57,sK58)) = sK57,
inference(superposition,[status(thm)],[c_8915,c_13821]) ).
tcf(c_14669,plain,
hd(cons(sK57,sK56)) = sK57,
inference(superposition,[status(thm)],[c_8907,c_13821]) ).
tcf(c_14670,plain,
hd(cons(sK57,iPr_def_13)) = sK57,
inference(superposition,[status(thm)],[c_11790,c_13821]) ).
tcf(c_14671,plain,
hd(cons(sK57,iPr_def_12)) = sK57,
inference(superposition,[status(thm)],[c_12842,c_13821]) ).
tcf(c_14672,plain,
hd(cons(sK57,iPr_def_11)) = sK57,
inference(superposition,[status(thm)],[c_12706,c_13821]) ).
tcf(c_14673,plain,
( ( nil = iPr_def_13 )
| ( hd(cons(sK57,iPr_def_10)) = sK57 ) ),
inference(superposition,[status(thm)],[c_12745,c_13821]) ).
tcf(c_14674,plain,
( ( nil = sK56 )
| ( hd(cons(sK57,iPr_def_10)) = sK57 ) ),
inference(superposition,[status(thm)],[c_12744,c_13821]) ).
tcf(c_14675,plain,
hd(cons(sK57,tl(iPr_def_11))) = sK57,
inference(superposition,[status(thm)],[c_14614,c_13821]) ).
tcf(c_14676,plain,
hd(iPr_def_11) = sK57,
inference(light_normalisation,[status(thm)],[c_14663,c_8903]) ).
tcf(c_14752,plain,
sK51(iPr_def_11) = sK57,
inference(demodulation,[status(thm)],[c_14260,c_14676]) ).
tcf(c_14805,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( hd(cons(sK57,nil)) = sK57 ) ),
inference(superposition,[status(thm)],[c_11839,c_14669]) ).
tcf(c_14812,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK57,sK8(X0,X1))) = sK8(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_13997]) ).
tcf(c_14813,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK57,app(X0,X1))) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_13997]) ).
tcf(c_14823,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK57,sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_13997]) ).
tcf(c_14824,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK57,sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_13997]) ).
tcf(c_14825,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK57,sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_13997]) ).
tcf(c_14826,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK57,sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_13997]) ).
tcf(c_14827,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK57,sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_13997]) ).
tcf(c_14828,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK57,sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_13997]) ).
tcf(c_14829,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK57,sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_13997]) ).
tcf(c_14830,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK57,sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_13997]) ).
tcf(c_14831,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK57,sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_13997]) ).
tcf(c_14832,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK57,sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_13997]) ).
tcf(c_14833,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK57,sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_13997]) ).
tcf(c_14834,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK57,cons(X0,X1))) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_13997]) ).
tcf(c_14835,plain,
tl(cons(sK57,nil)) = nil,
inference(superposition,[status(thm)],[c_141,c_13997]) ).
tcf(c_14836,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK57,sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_13997]) ).
tcf(c_14837,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK57,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_13997]) ).
tcf(c_14838,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK57,sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_13997]) ).
tcf(c_14839,plain,
tl(cons(sK57,sK59)) = sK59,
inference(superposition,[status(thm)],[c_8916,c_13997]) ).
tcf(c_14840,plain,
tl(cons(sK57,sK58)) = sK58,
inference(superposition,[status(thm)],[c_8915,c_13997]) ).
tcf(c_14841,plain,
tl(cons(sK57,sK56)) = sK56,
inference(superposition,[status(thm)],[c_8907,c_13997]) ).
tcf(c_14842,plain,
tl(cons(sK57,iPr_def_13)) = iPr_def_13,
inference(superposition,[status(thm)],[c_11790,c_13997]) ).
tcf(c_14843,plain,
tl(cons(sK57,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_12842,c_13997]) ).
tcf(c_14844,plain,
tl(cons(sK57,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_12706,c_13997]) ).
tcf(c_14845,plain,
( ( nil = iPr_def_13 )
| ( tl(cons(sK57,iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12745,c_13997]) ).
tcf(c_14846,plain,
( ( nil = sK56 )
| ( tl(cons(sK57,iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12744,c_13997]) ).
tcf(c_14847,plain,
tl(cons(sK57,tl(iPr_def_11))) = tl(iPr_def_11),
inference(superposition,[status(thm)],[c_14614,c_13997]) ).
tcf(c_14848,plain,
tl(iPr_def_11) = nil,
inference(light_normalisation,[status(thm)],[c_14835,c_8903]) ).
tcf(c_14924,plain,
sK52(iPr_def_11) = nil,
inference(demodulation,[status(thm)],[c_14445,c_14848]) ).
tcf(c_14999,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( tl(cons(sK57,nil)) = nil ) ),
inference(superposition,[status(thm)],[c_11839,c_14841]) ).
tcf(c_15006,plain,
( ssItem(hd(sK59))
| ( nil = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_14252,c_219]) ).
tcf(c_15007,plain,
( ssItem(hd(sK59))
| ( nil = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15006,c_8916]) ).
tcf(c_15018,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK57,sK9(X0,X1))) = sK9(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_13997]) ).
tcf(c_15019,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK57,sK9(X0,X1))) = sK57 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_13821]) ).
tcf(c_15020,plain,
! [X0: $i,X1: $i] :
( ( sK9(X0,X1) = nil )
| ( tl(sK9(X0,X1)) = sK52(sK9(X0,X1)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_222]) ).
tcf(c_15021,plain,
! [X0: $i,X1: $i] :
( ( sK9(X0,X1) = nil )
| ( hd(sK9(X0,X1)) = sK51(sK9(X0,X1)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_220]) ).
tcf(c_15022,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(sK9(X0,X1))
| ( sK40(sK9(X0,X1)) = sK41(sK9(X0,X1)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_123]) ).
tcf(c_15023,plain,
! [X0: $i,X1: $i] :
( ( app(sK9(X0,X1),nil) = sK9(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_232]) ).
tcf(c_15024,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK9(X0,X1)) = sK9(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_155]) ).
tcf(c_15064,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK57,sK11(X0,X1))) = sK11(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_13997]) ).
tcf(c_15065,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK57,sK11(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_13821]) ).
tcf(c_15066,plain,
! [X0: $i,X1: $i] :
( ( sK11(X0,X1) = nil )
| ( tl(sK11(X0,X1)) = sK52(sK11(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_222]) ).
tcf(c_15067,plain,
! [X0: $i,X1: $i] :
( ( sK11(X0,X1) = nil )
| ( hd(sK11(X0,X1)) = sK51(sK11(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_220]) ).
tcf(c_15068,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(sK11(X0,X1))
| ( sK40(sK11(X0,X1)) = sK41(sK11(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_123]) ).
tcf(c_15069,plain,
! [X0: $i,X1: $i] :
( ( app(sK11(X0,X1),nil) = sK11(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_232]) ).
tcf(c_15070,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK11(X0,X1)) = sK11(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_155]) ).
tcf(c_15117,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK57,sK12(X0,X1))) = sK12(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_13997]) ).
tcf(c_15118,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK57,sK12(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_13821]) ).
tcf(c_15119,plain,
! [X0: $i,X1: $i] :
( ( sK12(X0,X1) = nil )
| ( tl(sK12(X0,X1)) = sK52(sK12(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_222]) ).
tcf(c_15120,plain,
! [X0: $i,X1: $i] :
( ( sK12(X0,X1) = nil )
| ( hd(sK12(X0,X1)) = sK51(sK12(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_220]) ).
tcf(c_15121,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(sK12(X0,X1))
| ( sK40(sK12(X0,X1)) = sK41(sK12(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_123]) ).
tcf(c_15122,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(X0,X1),nil) = sK12(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_232]) ).
tcf(c_15123,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK12(X0,X1)) = sK12(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_155]) ).
tcf(c_15170,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK57,sK13(X0,X1))) = sK13(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_13997]) ).
tcf(c_15171,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK57,sK13(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_13821]) ).
tcf(c_15172,plain,
! [X0: $i,X1: $i] :
( ( sK13(X0,X1) = nil )
| ( tl(sK13(X0,X1)) = sK52(sK13(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_222]) ).
tcf(c_15173,plain,
! [X0: $i,X1: $i] :
( ( sK13(X0,X1) = nil )
| ( hd(sK13(X0,X1)) = sK51(sK13(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_220]) ).
tcf(c_15174,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(sK13(X0,X1))
| ( sK40(sK13(X0,X1)) = sK41(sK13(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_123]) ).
tcf(c_15175,plain,
! [X0: $i,X1: $i] :
( ( app(sK13(X0,X1),nil) = sK13(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_232]) ).
tcf(c_15176,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK13(X0,X1)) = sK13(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_155]) ).
tcf(c_15268,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( tl(cons(hd(sK59),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15007,c_152]) ).
tcf(c_15269,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( hd(cons(hd(sK59),X0)) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15007,c_150]) ).
tcf(c_15282,plain,
( ssItem(hd(sK58))
| ( nil = sK58 )
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_14253,c_219]) ).
tcf(c_15283,plain,
( ssItem(hd(sK58))
| ( nil = sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15282,c_8915]) ).
tcf(c_15290,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( tl(cons(hd(sK58),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15283,c_152]) ).
tcf(c_15291,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( hd(cons(hd(sK58),X0)) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15283,c_150]) ).
tcf(c_15305,plain,
( ssItem(hd(sK56))
| ( nil = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_14254,c_219]) ).
tcf(c_15306,plain,
( ssItem(hd(sK56))
| ( nil = sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15305,c_8907]) ).
tcf(c_15314,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( tl(cons(hd(sK56),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15306,c_152]) ).
tcf(c_15315,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( hd(cons(hd(sK56),X0)) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15306,c_150]) ).
tcf(c_15328,plain,
( ssList(tl(sK59))
| ( nil = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_14437,c_221]) ).
tcf(c_15329,plain,
( ssList(tl(sK59))
| ( nil = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15328,c_8916]) ).
tcf(c_15336,plain,
( ( nil = sK59 )
| ( tl(cons(sK57,tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_13997]) ).
tcf(c_15337,plain,
( ( nil = sK59 )
| ( hd(cons(sK57,tl(sK59))) = sK57 ) ),
inference(superposition,[status(thm)],[c_15329,c_13821]) ).
tcf(c_15338,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( tl(tl(sK59)) = sK52(tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_15329,c_222]) ).
tcf(c_15339,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(tl(sK59)) = sK51(tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_15329,c_220]) ).
tcf(c_15340,plain,
( duplicatefreeP(tl(sK59))
| ( nil = sK59 )
| ( sK40(tl(sK59)) = sK41(tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_15329,c_123]) ).
tcf(c_15341,plain,
( ( nil = sK59 )
| ( app(tl(sK59),nil) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_232]) ).
tcf(c_15342,plain,
( ( nil = sK59 )
| ( app(nil,tl(sK59)) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_155]) ).
tcf(c_15364,plain,
( ssList(tl(sK58))
| ( nil = sK58 )
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_14438,c_221]) ).
tcf(c_15365,plain,
( ssList(tl(sK58))
| ( nil = sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15364,c_8915]) ).
tcf(c_15372,plain,
( ssItem(hd(iPr_def_13))
| ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_14255,c_219]) ).
tcf(c_15373,plain,
( ssItem(hd(iPr_def_13))
| ( nil = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15372,c_11790]) ).
tcf(c_15384,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK57,sK14(X0,X1))) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_13997]) ).
tcf(c_15385,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK57,sK14(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_13821]) ).
tcf(c_15386,plain,
! [X0: $i,X1: $i] :
( ( sK14(X0,X1) = nil )
| ( tl(sK14(X0,X1)) = sK52(sK14(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_222]) ).
tcf(c_15387,plain,
! [X0: $i,X1: $i] :
( ( sK14(X0,X1) = nil )
| ( hd(sK14(X0,X1)) = sK51(sK14(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_220]) ).
tcf(c_15388,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(sK14(X0,X1))
| ( sK40(sK14(X0,X1)) = sK41(sK14(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_123]) ).
tcf(c_15389,plain,
! [X0: $i,X1: $i] :
( ( app(sK14(X0,X1),nil) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_232]) ).
tcf(c_15390,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK14(X0,X1)) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_155]) ).
tcf(c_15451,plain,
! [X0: $i,X1: $i] :
( ( sK8(X0,X1) = nil )
| ( cons(sK50(sK8(X0,X1)),sK49(sK8(X0,X1))) = sK8(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_147]) ).
tcf(c_15452,plain,
! [X0: $i,X1: $i] :
( ( sK9(X0,X1) = nil )
| ( cons(sK50(sK9(X0,X1)),sK49(sK9(X0,X1))) = sK9(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_147]) ).
tcf(c_15453,plain,
! [X0: $i,X1: $i] :
( ( app(X0,X1) = nil )
| ( cons(sK50(app(X0,X1)),sK49(app(X0,X1))) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_147]) ).
tcf(c_15454,plain,
! [X0: $i,X1: $i] :
( ( sK11(X0,X1) = nil )
| ( cons(sK50(sK11(X0,X1)),sK49(sK11(X0,X1))) = sK11(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_147]) ).
tcf(c_15455,plain,
! [X0: $i,X1: $i] :
( ( sK12(X0,X1) = nil )
| ( cons(sK50(sK12(X0,X1)),sK49(sK12(X0,X1))) = sK12(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_147]) ).
tcf(c_15456,plain,
! [X0: $i,X1: $i] :
( ( sK13(X0,X1) = nil )
| ( cons(sK50(sK13(X0,X1)),sK49(sK13(X0,X1))) = sK13(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_147]) ).
tcf(c_15457,plain,
! [X0: $i,X1: $i] :
( ( sK14(X0,X1) = nil )
| ( cons(sK50(sK14(X0,X1)),sK49(sK14(X0,X1))) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_147]) ).
tcf(c_15467,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( sK34(X0) = nil )
| ( cons(sK50(sK34(X0)),sK49(sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_147]) ).
tcf(c_15468,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( sK33(X0) = nil )
| ( cons(sK50(sK33(X0)),sK49(sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_147]) ).
tcf(c_15469,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( sK32(X0) = nil )
| ( cons(sK50(sK32(X0)),sK49(sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_147]) ).
tcf(c_15470,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( sK39(X0) = nil )
| ( cons(sK50(sK39(X0)),sK49(sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_147]) ).
tcf(c_15471,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( sK38(X0) = nil )
| ( cons(sK50(sK38(X0)),sK49(sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_147]) ).
tcf(c_15472,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( sK37(X0) = nil )
| ( cons(sK50(sK37(X0)),sK49(sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_147]) ).
tcf(c_15473,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK44(X0) = nil )
| ( cons(sK50(sK44(X0)),sK49(sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_147]) ).
tcf(c_15474,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK43(X0) = nil )
| ( cons(sK50(sK43(X0)),sK49(sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_147]) ).
tcf(c_15475,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK42(X0) = nil )
| ( cons(sK50(sK42(X0)),sK49(sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_147]) ).
tcf(c_15476,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( sK48(X0) = nil )
| ( cons(sK50(sK48(X0)),sK49(sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_147]) ).
tcf(c_15477,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( sK47(X0) = nil )
| ( cons(sK50(sK47(X0)),sK49(sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_147]) ).
tcf(c_15478,plain,
! [X0: $i,X1: $i] :
( ( cons(X0,X1) = nil )
| ( cons(sK50(cons(X0,X1)),sK49(cons(X0,X1))) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_147]) ).
tcf(c_15480,plain,
! [X0: $i] :
( ( X0 = nil )
| ( sK49(X0) = nil )
| ( cons(sK50(sK49(X0)),sK49(sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_147]) ).
tcf(c_15481,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(X0) = nil )
| ( cons(sK50(tl(X0)),sK49(tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_147]) ).
tcf(c_15482,plain,
! [X0: $i] :
( ( X0 = nil )
| ( sK52(X0) = nil )
| ( cons(sK50(sK52(X0)),sK49(sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_147]) ).
tcf(c_15483,plain,
( ( nil = sK59 )
| ( cons(sK50(sK59),sK49(sK59)) = sK59 ) ),
inference(superposition,[status(thm)],[c_8916,c_147]) ).
tcf(c_15484,plain,
( ( nil = sK58 )
| ( cons(sK50(sK58),sK49(sK58)) = sK58 ) ),
inference(superposition,[status(thm)],[c_8915,c_147]) ).
tcf(c_15485,plain,
( ( nil = sK56 )
| ( cons(sK50(sK56),sK49(sK56)) = sK56 ) ),
inference(superposition,[status(thm)],[c_8907,c_147]) ).
tcf(c_15486,plain,
( ( nil = iPr_def_13 )
| ( cons(sK50(iPr_def_13),sK49(iPr_def_13)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11790,c_147]) ).
tcf(c_15487,plain,
( ( nil = iPr_def_12 )
| ( cons(sK50(iPr_def_12),sK49(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12842,c_147]) ).
tcf(c_15488,plain,
( ( nil = iPr_def_11 )
| ( cons(sK50(iPr_def_11),sK49(iPr_def_11)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12706,c_147]) ).
tcf(c_15489,plain,
( ( nil = iPr_def_13 )
| ( nil = iPr_def_10 )
| ( cons(sK50(iPr_def_10),sK49(iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12745,c_147]) ).
tcf(c_15490,plain,
( ( nil = iPr_def_10 )
| ( nil = sK56 )
| ( cons(sK50(iPr_def_10),sK49(iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12744,c_147]) ).
tcf(c_15491,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( cons(sK50(tl(sK59)),sK49(tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_147]) ).
tcf(c_15492,plain,
cons(sK50(iPr_def_11),sK49(iPr_def_11)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_15488,c_13775]) ).
tcf(c_15715,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( cons(sK50(tl(sK58)),sK49(tl(sK58))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_147]) ).
tcf(c_15716,plain,
( ( nil = sK58 )
| ( tl(cons(sK57,tl(sK58))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_13997]) ).
tcf(c_15717,plain,
( ( nil = sK58 )
| ( hd(cons(sK57,tl(sK58))) = sK57 ) ),
inference(superposition,[status(thm)],[c_15365,c_13821]) ).
tcf(c_15718,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( tl(tl(sK58)) = sK52(tl(sK58)) ) ),
inference(superposition,[status(thm)],[c_15365,c_222]) ).
tcf(c_15719,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( hd(tl(sK58)) = sK51(tl(sK58)) ) ),
inference(superposition,[status(thm)],[c_15365,c_220]) ).
tcf(c_15720,plain,
( duplicatefreeP(tl(sK58))
| ( nil = sK58 )
| ( sK40(tl(sK58)) = sK41(tl(sK58)) ) ),
inference(superposition,[status(thm)],[c_15365,c_123]) ).
tcf(c_15721,plain,
( ( nil = sK58 )
| ( app(tl(sK58),nil) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_232]) ).
tcf(c_15722,plain,
( ( nil = sK58 )
| ( app(nil,tl(sK58)) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_155]) ).
tcf(c_15755,plain,
( ssList(tl(sK56))
| ( nil = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_14439,c_221]) ).
tcf(c_15756,plain,
( ssList(tl(sK56))
| ( nil = sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15755,c_8907]) ).
tcf(c_15764,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( cons(sK50(tl(sK56)),sK49(tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_147]) ).
tcf(c_15765,plain,
( ( nil = sK56 )
| ( tl(cons(sK57,tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_13997]) ).
tcf(c_15766,plain,
( ( nil = sK56 )
| ( hd(cons(sK57,tl(sK56))) = sK57 ) ),
inference(superposition,[status(thm)],[c_15756,c_13821]) ).
tcf(c_15767,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( tl(tl(sK56)) = sK52(tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_15756,c_222]) ).
tcf(c_15768,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(tl(sK56)) = sK51(tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_15756,c_220]) ).
tcf(c_15769,plain,
( duplicatefreeP(tl(sK56))
| ( nil = sK56 )
| ( sK40(tl(sK56)) = sK41(tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_15756,c_123]) ).
tcf(c_15770,plain,
( ( nil = sK56 )
| ( app(tl(sK56),nil) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_232]) ).
tcf(c_15771,plain,
( ( nil = sK56 )
| ( app(nil,tl(sK56)) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_155]) ).
tcf(c_15805,plain,
! [X0: $i] :
( memberP(app(X0,sK59),sK50(sK59))
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ ssList(app(X0,cons(sK50(sK59),sK49(sK59)))) ),
inference(superposition,[status(thm)],[c_15483,c_54]) ).
tcf(c_15807,plain,
( ( nil = sK59 )
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ( sK49(sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_15483,c_142]) ).
tcf(c_15808,plain,
( memberP(sK59,sK50(sK59))
| ( nil = sK59 )
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_15483,c_168]) ).
tcf(c_15829,plain,
! [X0: $i] :
( memberP(app(X0,sK58),sK50(sK58))
| ( nil = sK58 )
| ~ ssList(X0)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ ssList(app(X0,cons(sK50(sK58),sK49(sK58)))) ),
inference(superposition,[status(thm)],[c_15484,c_54]) ).
tcf(c_15831,plain,
( ( nil = sK58 )
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ( sK49(sK58) != sK58 ) ),
inference(superposition,[status(thm)],[c_15484,c_142]) ).
tcf(c_15832,plain,
( memberP(sK58,sK50(sK58))
| ( nil = sK58 )
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58)) ),
inference(superposition,[status(thm)],[c_15484,c_168]) ).
tcf(c_15861,plain,
! [X0: $i] :
( memberP(app(X0,sK56),sK50(sK56))
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ ssList(app(X0,cons(sK50(sK56),sK49(sK56)))) ),
inference(superposition,[status(thm)],[c_15485,c_54]) ).
tcf(c_15863,plain,
( ( nil = sK56 )
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ( sK49(sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_15485,c_142]) ).
tcf(c_15864,plain,
( memberP(sK56,sK50(sK56))
| ( nil = sK56 )
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_15485,c_168]) ).
tcf(c_15887,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(cons(sK60,sK8(X0,X1))) = sK60 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_13822]) ).
tcf(c_15888,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(cons(sK60,sK9(X0,X1))) = sK60 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_13822]) ).
tcf(c_15889,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(cons(sK60,app(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_13822]) ).
tcf(c_15890,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(cons(sK60,sK11(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_13822]) ).
tcf(c_15891,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(cons(sK60,sK12(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_13822]) ).
tcf(c_15892,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(cons(sK60,sK13(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_13822]) ).
tcf(c_15893,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(cons(sK60,sK14(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_13822]) ).
tcf(c_15903,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK34(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_13822]) ).
tcf(c_15904,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK33(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_13822]) ).
tcf(c_15905,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK32(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_13822]) ).
tcf(c_15906,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK39(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_13822]) ).
tcf(c_15907,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK38(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_13822]) ).
tcf(c_15908,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK37(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_13822]) ).
tcf(c_15909,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK44(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_13822]) ).
tcf(c_15910,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK43(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_13822]) ).
tcf(c_15911,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK42(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_13822]) ).
tcf(c_15912,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK48(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_13822]) ).
tcf(c_15913,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK47(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_13822]) ).
tcf(c_15914,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(cons(sK60,cons(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_13822]) ).
tcf(c_15915,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,nil)) = sK60 ) ),
inference(superposition,[status(thm)],[c_141,c_13822]) ).
tcf(c_15916,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(cons(sK60,sK49(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_13822]) ).
tcf(c_15917,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(cons(sK60,tl(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_13822]) ).
tcf(c_15918,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(cons(sK60,sK52(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_13822]) ).
tcf(c_15919,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,sK59)) = sK60 ) ),
inference(superposition,[status(thm)],[c_8916,c_13822]) ).
tcf(c_15920,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,sK58)) = sK60 ) ),
inference(superposition,[status(thm)],[c_8915,c_13822]) ).
tcf(c_15921,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,sK56)) = sK60 ) ),
inference(superposition,[status(thm)],[c_8907,c_13822]) ).
tcf(c_15922,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,iPr_def_13)) = sK60 ) ),
inference(superposition,[status(thm)],[c_11790,c_13822]) ).
tcf(c_15923,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,iPr_def_12)) = sK60 ) ),
inference(superposition,[status(thm)],[c_12842,c_13822]) ).
tcf(c_15924,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,iPr_def_11)) = sK60 ) ),
inference(superposition,[status(thm)],[c_12706,c_13822]) ).
tcf(c_15926,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,iPr_def_10)) = sK60 ) ),
inference(superposition,[status(thm)],[c_12744,c_13822]) ).
tcf(c_15927,plain,
( ( nil = sK56 )
| ( nil = sK59 )
| ( hd(cons(sK60,tl(sK59))) = sK60 ) ),
inference(superposition,[status(thm)],[c_15329,c_13822]) ).
tcf(c_15928,plain,
( ( nil = sK56 )
| ( nil = sK58 )
| ( hd(cons(sK60,tl(sK58))) = sK60 ) ),
inference(superposition,[status(thm)],[c_15365,c_13822]) ).
tcf(c_15929,plain,
( ( nil = sK56 )
| ( hd(cons(sK60,tl(sK56))) = sK60 ) ),
inference(superposition,[status(thm)],[c_15756,c_13822]) ).
tcf(c_15944,plain,
( ( nil = sK56 )
| ( hd(iPr_def_10) = sK60 ) ),
inference(light_normalisation,[status(thm)],[c_15915,c_8902]) ).
tcf(c_16255,plain,
( ssItem(hd(iPr_def_12))
| ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_14256,c_219]) ).
tcf(c_16256,plain,
( ssItem(hd(iPr_def_12))
| ( nil = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16255,c_12842]) ).
tcf(c_16265,plain,
! [X0: $i,X1: $i] :
( ( sK8(X0,X1) = nil )
| ( cons(hd(sK8(X0,X1)),tl(sK8(X0,X1))) = sK8(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_224]) ).
tcf(c_16266,plain,
! [X0: $i,X1: $i] :
( ( sK9(X0,X1) = nil )
| ( cons(hd(sK9(X0,X1)),tl(sK9(X0,X1))) = sK9(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_224]) ).
tcf(c_16267,plain,
! [X0: $i,X1: $i] :
( ( app(X0,X1) = nil )
| ( cons(hd(app(X0,X1)),tl(app(X0,X1))) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_224]) ).
tcf(c_16268,plain,
! [X0: $i,X1: $i] :
( ( sK11(X0,X1) = nil )
| ( cons(hd(sK11(X0,X1)),tl(sK11(X0,X1))) = sK11(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_224]) ).
tcf(c_16269,plain,
! [X0: $i,X1: $i] :
( ( sK12(X0,X1) = nil )
| ( cons(hd(sK12(X0,X1)),tl(sK12(X0,X1))) = sK12(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_224]) ).
tcf(c_16270,plain,
! [X0: $i,X1: $i] :
( ( sK13(X0,X1) = nil )
| ( cons(hd(sK13(X0,X1)),tl(sK13(X0,X1))) = sK13(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_224]) ).
tcf(c_16271,plain,
! [X0: $i,X1: $i] :
( ( sK14(X0,X1) = nil )
| ( cons(hd(sK14(X0,X1)),tl(sK14(X0,X1))) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_224]) ).
tcf(c_16281,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( sK34(X0) = nil )
| ( cons(hd(sK34(X0)),tl(sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_224]) ).
tcf(c_16282,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( sK33(X0) = nil )
| ( cons(hd(sK33(X0)),tl(sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_224]) ).
tcf(c_16283,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( sK32(X0) = nil )
| ( cons(hd(sK32(X0)),tl(sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_224]) ).
tcf(c_16284,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( sK39(X0) = nil )
| ( cons(hd(sK39(X0)),tl(sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_224]) ).
tcf(c_16285,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( sK38(X0) = nil )
| ( cons(hd(sK38(X0)),tl(sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_224]) ).
tcf(c_16286,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( sK37(X0) = nil )
| ( cons(hd(sK37(X0)),tl(sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_224]) ).
tcf(c_16287,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK44(X0) = nil )
| ( cons(hd(sK44(X0)),tl(sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_224]) ).
tcf(c_16288,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK43(X0) = nil )
| ( cons(hd(sK43(X0)),tl(sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_224]) ).
tcf(c_16289,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( sK42(X0) = nil )
| ( cons(hd(sK42(X0)),tl(sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_224]) ).
tcf(c_16290,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( sK48(X0) = nil )
| ( cons(hd(sK48(X0)),tl(sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_224]) ).
tcf(c_16291,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( sK47(X0) = nil )
| ( cons(hd(sK47(X0)),tl(sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_224]) ).
tcf(c_16292,plain,
! [X0: $i,X1: $i] :
( ( cons(X0,X1) = nil )
| ( cons(hd(cons(X0,X1)),tl(cons(X0,X1))) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_224]) ).
tcf(c_16294,plain,
! [X0: $i] :
( ( X0 = nil )
| ( sK49(X0) = nil )
| ( cons(hd(sK49(X0)),tl(sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_224]) ).
tcf(c_16295,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(X0) = nil )
| ( cons(hd(tl(X0)),tl(tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_224]) ).
tcf(c_16296,plain,
! [X0: $i] :
( ( X0 = nil )
| ( sK52(X0) = nil )
| ( cons(hd(sK52(X0)),tl(sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_224]) ).
tcf(c_16297,plain,
( ( nil = sK59 )
| ( cons(hd(sK59),tl(sK59)) = sK59 ) ),
inference(superposition,[status(thm)],[c_8916,c_224]) ).
tcf(c_16298,plain,
( ( nil = sK58 )
| ( cons(hd(sK58),tl(sK58)) = sK58 ) ),
inference(superposition,[status(thm)],[c_8915,c_224]) ).
tcf(c_16299,plain,
( ( nil = sK56 )
| ( cons(hd(sK56),tl(sK56)) = sK56 ) ),
inference(superposition,[status(thm)],[c_8907,c_224]) ).
tcf(c_16300,plain,
( ( nil = iPr_def_13 )
| ( cons(hd(iPr_def_13),tl(iPr_def_13)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11790,c_224]) ).
tcf(c_16301,plain,
( ( nil = iPr_def_12 )
| ( cons(hd(iPr_def_12),tl(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12842,c_224]) ).
tcf(c_16302,plain,
( ( nil = iPr_def_11 )
| ( cons(hd(iPr_def_11),tl(iPr_def_11)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12706,c_224]) ).
tcf(c_16303,plain,
( ( nil = iPr_def_13 )
| ( nil = iPr_def_10 )
| ( cons(hd(iPr_def_10),tl(iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12745,c_224]) ).
tcf(c_16304,plain,
( ( nil = iPr_def_10 )
| ( nil = sK56 )
| ( cons(hd(iPr_def_10),tl(iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12744,c_224]) ).
tcf(c_16305,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( cons(hd(tl(sK59)),tl(tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_224]) ).
tcf(c_16306,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( cons(hd(tl(sK58)),tl(tl(sK58))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_224]) ).
tcf(c_16307,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( cons(hd(tl(sK56)),tl(tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_224]) ).
tcf(c_16580,plain,
! [X0: $i] :
( ( app(cons(sK6,nil),X0) = cons(sK6,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_51,c_227]) ).
tcf(c_16581,plain,
! [X0: $i] :
( ( app(cons(sK7,nil),X0) = cons(sK7,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_52,c_227]) ).
tcf(c_16582,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK10(X0),nil),X1) = cons(sK10(X0),X1) )
| ~ singletonP(X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_59,c_227]) ).
tcf(c_16589,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(cons(sK31(X0),nil),X1) = cons(sK31(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112,c_227]) ).
tcf(c_16590,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(cons(sK30(X0),nil),X1) = cons(sK30(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_113,c_227]) ).
tcf(c_16591,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(cons(sK36(X0),nil),X1) = cons(sK36(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_120,c_227]) ).
tcf(c_16592,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(cons(sK35(X0),nil),X1) = cons(sK35(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_121,c_227]) ).
tcf(c_16593,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(cons(sK41(X0),nil),X1) = cons(sK41(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_128,c_227]) ).
tcf(c_16594,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(cons(sK40(X0),nil),X1) = cons(sK40(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_129,c_227]) ).
tcf(c_16595,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( app(cons(sK46(X0),nil),X1) = cons(sK46(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_135,c_227]) ).
tcf(c_16596,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( app(cons(sK45(X0),nil),X1) = cons(sK45(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_136,c_227]) ).
tcf(c_16597,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(cons(sK50(X0),nil),X1) = cons(sK50(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_146,c_227]) ).
tcf(c_16598,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_149,c_227]) ).
tcf(c_16599,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(cons(sK51(X0),nil),X1) = cons(sK51(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_219,c_227]) ).
tcf(c_16600,plain,
! [X0: $i] :
( ( app(cons(sK57,nil),X0) = cons(sK57,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8914,c_227]) ).
tcf(c_16601,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(cons(sK60,nil),X0) = cons(sK60,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8909,c_227]) ).
tcf(c_16602,plain,
! [X0: $i] :
( ( nil = iPr_def_13 )
| ( app(cons(sK60,nil),X0) = cons(sK60,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_11791,c_227]) ).
tcf(c_16603,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(cons(hd(sK59),nil),X0) = cons(hd(sK59),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15007,c_227]) ).
tcf(c_16604,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( app(cons(hd(sK58),nil),X0) = cons(hd(sK58),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15283,c_227]) ).
tcf(c_16605,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(cons(hd(sK56),nil),X0) = cons(hd(sK56),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15306,c_227]) ).
tcf(c_16606,plain,
! [X0: $i] :
( ( cons(sK57,X0) = app(iPr_def_11,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_16600,c_8903]) ).
tcf(c_16613,plain,
! [X0: $i] :
( ( nil = iPr_def_13 )
| ( cons(sK60,X0) = app(iPr_def_10,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_16602,c_8902]) ).
tcf(c_16617,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( cons(sK60,X0) = app(iPr_def_10,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_16601,c_8902]) ).
tcf(c_16923,plain,
( totalorderedP(sK49(sK59))
| ( nil = sK59 )
| ( sK49(sK59) = nil )
| ~ totalorderedP(sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_15483,c_207]) ).
tcf(c_16924,plain,
( totalorderedP(sK49(sK58))
| ( nil = sK58 )
| ( sK49(sK58) = nil )
| ~ totalorderedP(sK58)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58)) ),
inference(superposition,[status(thm)],[c_15484,c_207]) ).
tcf(c_16925,plain,
( totalorderedP(sK49(sK56))
| ( nil = sK56 )
| ( sK49(sK56) = nil )
| ~ totalorderedP(sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_15485,c_207]) ).
tcf(c_16960,plain,
( strictorderedP(sK49(sK59))
| ( nil = sK59 )
| ( sK49(sK59) = nil )
| ~ strictorderedP(sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_15483,c_213]) ).
tcf(c_16961,plain,
( strictorderedP(sK49(sK58))
| ( nil = sK58 )
| ( sK49(sK58) = nil )
| ~ strictorderedP(sK58)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58)) ),
inference(superposition,[status(thm)],[c_15484,c_213]) ).
tcf(c_16962,plain,
( strictorderedP(sK49(sK56))
| ( nil = sK56 )
| ( sK49(sK56) = nil )
| ~ strictorderedP(sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_15485,c_213]) ).
tcf(c_16998,plain,
( singletonP(iPr_def_11)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8903,c_13720]) ).
tcf(c_16999,plain,
( singletonP(iPr_def_10)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_8902,c_13720]) ).
tcf(c_17000,plain,
! [X0: $i] :
( singletonP(cons(X0,iPr_def_13))
| ( iPr_def_10 = iPr_def_13 )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_11813,c_13720]) ).
tcf(c_17001,plain,
! [X0: $i] :
( ( cons(sK10(cons(X0,nil)),nil) = cons(X0,nil) )
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[status(thm)],[c_13720,c_60]) ).
tcf(c_17004,plain,
singletonP(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_16998,c_8914]) ).
tcf(c_17012,plain,
( ( cons(sK10(iPr_def_11),nil) = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17004,c_60]) ).
tcf(c_17013,plain,
cons(sK10(iPr_def_11),nil) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_17012,c_12706]) ).
tcf(c_17031,plain,
( singletonP(iPr_def_10)
| ( nil = sK56 ) ),
inference(superposition,[status(thm)],[c_8909,c_16999]) ).
tcf(c_17032,plain,
( singletonP(iPr_def_10)
| ( nil = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11791,c_16999]) ).
tcf(c_17041,plain,
( ( nil = sK56 )
| ( cons(sK10(iPr_def_10),nil) = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_17031,c_60]) ).
tcf(c_17060,plain,
! [X0: $i] :
( memberP(app(X0,sK59),hd(sK59))
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ ssList(app(X0,cons(hd(sK59),tl(sK59)))) ),
inference(superposition,[status(thm)],[c_16297,c_54]) ).
tcf(c_17061,plain,
( strictorderedP(tl(sK59))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ strictorderedP(sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_16297,c_213]) ).
tcf(c_17062,plain,
( totalorderedP(tl(sK59))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ totalorderedP(sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_16297,c_207]) ).
tcf(c_17064,plain,
( ( nil = sK59 )
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ( tl(sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_16297,c_142]) ).
tcf(c_17065,plain,
( memberP(sK59,hd(sK59))
| ( nil = sK59 )
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_16297,c_168]) ).
tcf(c_17168,plain,
! [X0: $i] :
( memberP(app(X0,sK58),hd(sK58))
| ( nil = sK58 )
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ ssList(app(X0,cons(hd(sK58),tl(sK58)))) ),
inference(superposition,[status(thm)],[c_16298,c_54]) ).
tcf(c_17169,plain,
( strictorderedP(tl(sK58))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ strictorderedP(sK58)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58)) ),
inference(superposition,[status(thm)],[c_16298,c_213]) ).
tcf(c_17170,plain,
( totalorderedP(tl(sK58))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ totalorderedP(sK58)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58)) ),
inference(superposition,[status(thm)],[c_16298,c_207]) ).
tcf(c_17172,plain,
( ( nil = sK58 )
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ( tl(sK58) != sK58 ) ),
inference(superposition,[status(thm)],[c_16298,c_142]) ).
tcf(c_17173,plain,
( memberP(sK58,hd(sK58))
| ( nil = sK58 )
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58)) ),
inference(superposition,[status(thm)],[c_16298,c_168]) ).
tcf(c_17208,plain,
! [X0: $i] :
( memberP(app(X0,sK56),hd(sK56))
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ ssList(app(X0,cons(hd(sK56),tl(sK56)))) ),
inference(superposition,[status(thm)],[c_16299,c_54]) ).
tcf(c_17209,plain,
( strictorderedP(tl(sK56))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ strictorderedP(sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_16299,c_213]) ).
tcf(c_17210,plain,
( totalorderedP(tl(sK56))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ totalorderedP(sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_16299,c_207]) ).
tcf(c_17212,plain,
( ( nil = sK56 )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ( tl(sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_16299,c_142]) ).
tcf(c_17213,plain,
( memberP(sK56,hd(sK56))
| ( nil = sK56 )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_16299,c_168]) ).
tcf(c_17248,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(cons(sK60,sK8(X0,X1))) = sK8(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_13998]) ).
tcf(c_17249,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(cons(sK60,sK9(X0,X1))) = sK9(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_13998]) ).
tcf(c_17250,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(cons(sK60,app(X0,X1))) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_13998]) ).
tcf(c_17251,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(cons(sK60,sK11(X0,X1))) = sK11(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_13998]) ).
tcf(c_17252,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(cons(sK60,sK12(X0,X1))) = sK12(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_13998]) ).
tcf(c_17253,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(cons(sK60,sK13(X0,X1))) = sK13(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_13998]) ).
tcf(c_17254,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(cons(sK60,sK14(X0,X1))) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_13998]) ).
tcf(c_17264,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_13998]) ).
tcf(c_17265,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_13998]) ).
tcf(c_17266,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_13998]) ).
tcf(c_17267,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_13998]) ).
tcf(c_17268,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_13998]) ).
tcf(c_17269,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_13998]) ).
tcf(c_17270,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_13998]) ).
tcf(c_17271,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_13998]) ).
tcf(c_17272,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_13998]) ).
tcf(c_17273,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_13998]) ).
tcf(c_17274,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_13998]) ).
tcf(c_17275,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(cons(sK60,cons(X0,X1))) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_13998]) ).
tcf(c_17276,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,nil)) = nil ) ),
inference(superposition,[status(thm)],[c_141,c_13998]) ).
tcf(c_17277,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( tl(cons(sK60,sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_13998]) ).
tcf(c_17278,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( tl(cons(sK60,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_13998]) ).
tcf(c_17279,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( tl(cons(sK60,sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_13998]) ).
tcf(c_17280,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,sK59)) = sK59 ) ),
inference(superposition,[status(thm)],[c_8916,c_13998]) ).
tcf(c_17281,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,sK58)) = sK58 ) ),
inference(superposition,[status(thm)],[c_8915,c_13998]) ).
tcf(c_17282,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,sK56)) = sK56 ) ),
inference(superposition,[status(thm)],[c_8907,c_13998]) ).
tcf(c_17283,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,iPr_def_13)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11790,c_13998]) ).
tcf(c_17284,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12842,c_13998]) ).
tcf(c_17285,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,iPr_def_11)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12706,c_13998]) ).
tcf(c_17287,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_12744,c_13998]) ).
tcf(c_17288,plain,
( ( nil = sK56 )
| ( nil = sK59 )
| ( tl(cons(sK60,tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_13998]) ).
tcf(c_17289,plain,
( ( nil = sK56 )
| ( nil = sK58 )
| ( tl(cons(sK60,tl(sK58))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_13998]) ).
tcf(c_17290,plain,
( ( nil = sK56 )
| ( tl(cons(sK60,tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_13998]) ).
tcf(c_17305,plain,
( ( nil = sK56 )
| ( tl(iPr_def_10) = nil ) ),
inference(light_normalisation,[status(thm)],[c_17276,c_8902]) ).
tcf(c_17586,plain,
( ssItem(hd(iPr_def_10))
| ( nil = iPr_def_13 )
| ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_14258,c_219]) ).
tcf(c_17610,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ( nil != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8904,c_230]) ).
tcf(c_17611,plain,
( ( nil = sK59 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_8905,c_230]) ).
tcf(c_17648,plain,
( ( nil = sK59 )
| ( nil != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17611,c_12842,c_8916]) ).
tcf(c_17651,plain,
nil != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_17610,c_13775,c_12706,c_8915]) ).
tcf(c_17652,plain,
hd(iPr_def_12) = sK51(iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_14256,c_17651]) ).
tcf(c_17710,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_8905,c_231]) ).
tcf(c_17747,plain,
( ( nil = iPr_def_12 )
| ( nil != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17710,c_12842,c_8916]) ).
tcf(c_17781,plain,
! [X0: $i,X1: $i] :
( ( app(X0,sK11(app(X0,X1),X0)) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_382,c_63]) ).
tcf(c_17782,plain,
! [X0: $i] :
( ( app(X0,sK11(X0,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_175,c_63]) ).
tcf(c_17783,plain,
! [X0: $i] :
( ( app(nil,sK11(X0,nil)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_180,c_63]) ).
tcf(c_17784,plain,
( ( app(nil,sK11(nil,nil)) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_371,c_63]) ).
tcf(c_17785,plain,
( ( app(iPr_def_13,sK11(iPr_def_13,iPr_def_13)) = iPr_def_13 )
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_13613,c_63]) ).
tcf(c_17786,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK11(X0,iPr_def_13)) = X0 )
| ~ ssList(iPr_def_13)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12004,c_63]) ).
tcf(c_17787,plain,
( ( app(nil,sK11(iPr_def_13,nil)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13617,c_63]) ).
tcf(c_17788,plain,
( ( app(sK58,sK11(iPr_def_12,sK58)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_13623,c_63]) ).
tcf(c_17789,plain,
( ( app(iPr_def_12,sK11(iPr_def_13,iPr_def_12)) = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_13622,c_63]) ).
tcf(c_17790,plain,
( ( app(nil,sK11(iPr_def_11,nil)) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13621,c_63]) ).
tcf(c_17791,plain,
( ( app(nil,sK11(sK59,nil)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13620,c_63]) ).
tcf(c_17792,plain,
( ( app(nil,sK11(sK58,nil)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13619,c_63]) ).
tcf(c_17793,plain,
( ( app(nil,sK11(sK56,nil)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13618,c_63]) ).
tcf(c_17794,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK11(sK59,iPr_def_13)) = sK59 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_13650,c_63]) ).
tcf(c_17795,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK11(sK58,iPr_def_13)) = sK58 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_13647,c_63]) ).
tcf(c_17796,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK11(sK56,iPr_def_13)) = sK56 )
| ~ ssList(iPr_def_13)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_13644,c_63]) ).
tcf(c_17797,plain,
( ( app(sK59,sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_13616,c_63]) ).
tcf(c_17798,plain,
( ( app(sK58,sK11(sK58,sK58)) = sK58 )
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_13615,c_63]) ).
tcf(c_17799,plain,
( ( app(sK56,sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_13614,c_63]) ).
tcf(c_17800,plain,
( ( app(iPr_def_11,sK11(iPr_def_11,iPr_def_11)) = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_13612,c_63]) ).
tcf(c_17801,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK11(iPr_def_11,iPr_def_13)) = iPr_def_11 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_13633,c_63]) ).
tcf(c_17802,plain,
( ( app(iPr_def_12,sK11(iPr_def_12,iPr_def_12)) = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_13611,c_63]) ).
tcf(c_17803,plain,
( ( app(nil,sK11(iPr_def_12,nil)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13610,c_63]) ).
tcf(c_17804,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK11(iPr_def_12,iPr_def_13)) = iPr_def_12 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_13630,c_63]) ).
tcf(c_17805,plain,
app(iPr_def_12,sK11(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_17802,c_12842]) ).
tcf(c_17806,plain,
app(iPr_def_11,sK11(iPr_def_11,iPr_def_11)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_17800,c_12706]) ).
tcf(c_17807,plain,
app(sK56,sK11(sK56,sK56)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_17799,c_8907]) ).
tcf(c_17808,plain,
app(sK58,sK11(sK58,sK58)) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_17798,c_8915]) ).
tcf(c_17809,plain,
app(sK59,sK11(sK59,sK59)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_17797,c_8916]) ).
tcf(c_17810,plain,
app(iPr_def_13,sK11(iPr_def_13,iPr_def_13)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_17785,c_11790]) ).
tcf(c_17811,plain,
app(nil,sK11(nil,nil)) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_17784,c_141]) ).
tcf(c_17814,plain,
app(nil,sK11(iPr_def_12,nil)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_17803,c_12842,c_141]) ).
tcf(c_17815,plain,
app(nil,sK11(sK56,nil)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_17793,c_8907,c_141]) ).
tcf(c_17816,plain,
app(nil,sK11(sK58,nil)) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_17792,c_8915,c_141]) ).
tcf(c_17817,plain,
app(nil,sK11(sK59,nil)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_17791,c_8916,c_141]) ).
tcf(c_17818,plain,
app(nil,sK11(iPr_def_11,nil)) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_17790,c_12706,c_141]) ).
tcf(c_17819,plain,
app(iPr_def_12,sK11(iPr_def_13,iPr_def_12)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_17789,c_11790,c_12842]) ).
tcf(c_17820,plain,
app(sK58,sK11(iPr_def_12,sK58)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_17788,c_12842,c_8915]) ).
tcf(c_17821,plain,
app(nil,sK11(iPr_def_13,nil)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_17787,c_11790,c_141]) ).
tcf(c_17822,plain,
! [X0: $i] :
( ( app(nil,sK11(X0,nil)) = X0 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17783,c_141]) ).
tcf(c_17825,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK11(iPr_def_12,iPr_def_13)) = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17804,c_11790,c_12842]) ).
tcf(c_17828,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK11(iPr_def_11,iPr_def_13)) = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17801,c_11790,c_12706]) ).
tcf(c_17831,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK11(sK56,iPr_def_13)) = sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17796,c_11790,c_8907]) ).
tcf(c_17834,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK11(sK58,iPr_def_13)) = sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17795,c_11790,c_8915]) ).
tcf(c_17837,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK11(sK59,iPr_def_13)) = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17794,c_11790,c_8916]) ).
tcf(c_17840,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_13 )
| ( app(iPr_def_13,sK11(X0,iPr_def_13)) = X0 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17786,c_11790]) ).
tcf(c_17871,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( iPr_def_12 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11813,c_17651]) ).
tcf(c_17874,plain,
singletonP(iPr_def_10),
inference(global_subsumption_just,[status(thm)],[c_17032,c_17032,c_17651,c_17747]) ).
tcf(c_17876,plain,
( ( cons(sK10(iPr_def_10),nil) = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_17874,c_60]) ).
tcf(c_17890,plain,
( ( sK11(sK56,sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_17807,c_230]) ).
tcf(c_17892,plain,
( rearsegP(sK56,sK11(sK56,sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_17807,c_379]) ).
tcf(c_17894,plain,
( rearsegP(sK56,sK11(sK56,sK56))
| ~ ssList(sK11(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17892,c_8907]) ).
tcf(c_17897,plain,
( ( sK11(sK56,sK56) = nil )
| ~ ssList(sK11(sK56,sK56))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17890,c_8907]) ).
tcf(c_17915,plain,
( ( sK11(sK58,sK58) = nil )
| ~ ssList(sK58)
| ~ ssList(sK11(sK58,sK58))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_17808,c_230]) ).
tcf(c_17917,plain,
( rearsegP(sK58,sK11(sK58,sK58))
| ~ ssList(sK58)
| ~ ssList(sK11(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_17808,c_379]) ).
tcf(c_17919,plain,
( rearsegP(sK58,sK11(sK58,sK58))
| ~ ssList(sK11(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17917,c_8915]) ).
tcf(c_17922,plain,
( ( sK11(sK58,sK58) = nil )
| ~ ssList(sK11(sK58,sK58))
| ( nil != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17915,c_8915]) ).
tcf(c_17927,plain,
( ( sK11(sK59,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_17809,c_230]) ).
tcf(c_17929,plain,
( rearsegP(sK59,sK11(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_17809,c_379]) ).
tcf(c_17931,plain,
( rearsegP(sK59,sK11(sK59,sK59))
| ~ ssList(sK11(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17929,c_8916]) ).
tcf(c_17934,plain,
( ( sK11(sK59,sK59) = nil )
| ~ ssList(sK11(sK59,sK59))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17927,c_8916]) ).
tcf(c_18018,plain,
( ( sK11(sK56,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(sK56,nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_17815,c_230]) ).
tcf(c_18020,plain,
( rearsegP(sK56,sK11(sK56,nil))
| ~ ssList(nil)
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_17815,c_379]) ).
tcf(c_18022,plain,
( rearsegP(sK56,sK11(sK56,nil))
| ~ ssList(sK11(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18020,c_141]) ).
tcf(c_18025,plain,
( ( sK11(sK56,nil) = nil )
| ~ ssList(sK11(sK56,nil))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18018,c_141]) ).
tcf(c_18040,plain,
( ( sK11(sK58,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(sK58,nil))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_17816,c_230]) ).
tcf(c_18042,plain,
( rearsegP(sK58,sK11(sK58,nil))
| ~ ssList(nil)
| ~ ssList(sK11(sK58,nil)) ),
inference(superposition,[status(thm)],[c_17816,c_379]) ).
tcf(c_18044,plain,
( rearsegP(sK58,sK11(sK58,nil))
| ~ ssList(sK11(sK58,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18042,c_141]) ).
tcf(c_18047,plain,
( ( sK11(sK58,nil) = nil )
| ~ ssList(sK11(sK58,nil))
| ( nil != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18040,c_141]) ).
tcf(c_18219,plain,
( ( sK11(sK59,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(sK59,nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_17817,c_230]) ).
tcf(c_18221,plain,
( rearsegP(sK59,sK11(sK59,nil))
| ~ ssList(nil)
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_17817,c_379]) ).
tcf(c_18223,plain,
( rearsegP(sK59,sK11(sK59,nil))
| ~ ssList(sK11(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18221,c_141]) ).
tcf(c_18226,plain,
( ( sK11(sK59,nil) = nil )
| ~ ssList(sK11(sK59,nil))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18219,c_141]) ).
tcf(c_18233,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,sK58))
| ~ ssList(sK58)
| ~ ssList(sK11(iPr_def_12,sK58)) ),
inference(superposition,[status(thm)],[c_17820,c_379]) ).
tcf(c_18235,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,sK58))
| ~ ssList(sK11(iPr_def_12,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18233,c_8915]) ).
tcf(c_18238,plain,
nil != iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_17648,c_17651,c_17747]) ).
tcf(c_18240,plain,
( ( nil = iPr_def_10 )
| ( hd(iPr_def_10) = sK51(iPr_def_10) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_14258,c_18238]) ).
tcf(c_18241,plain,
hd(iPr_def_13) = sK51(iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_14255,c_18238]) ).
tcf(c_18242,plain,
app(nil,sK8(sK56,sK60)) = sK8(sK56,sK60),
inference(backward_subsumption_resolution,[status(thm)],[c_13385,c_18238]) ).
tcf(c_18243,plain,
app(nil,iPr_def_10) = iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_12785,c_18238]) ).
tcf(c_18244,plain,
app(iPr_def_10,nil) = iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_12784,c_18238]) ).
tcf(c_18245,plain,
ssList(iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_12745,c_18238]) ).
tcf(c_18246,plain,
equalelemsP(iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_12279,c_18238]) ).
tcf(c_18247,plain,
duplicatefreeP(iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_12269,c_18238]) ).
tcf(c_18248,plain,
strictorderedP(iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_12259,c_18238]) ).
tcf(c_18249,plain,
totalorderedP(iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_12249,c_18238]) ).
tcf(c_18250,plain,
iPr_def_10 = iPr_def_13,
inference(backward_subsumption_resolution,[status(thm)],[c_11813,c_18238]) ).
tcf(c_18251,plain,
memberP(sK56,sK60),
inference(backward_subsumption_resolution,[status(thm)],[c_11802,c_18238]) ).
tcf(c_18252,plain,
ssItem(sK60),
inference(backward_subsumption_resolution,[status(thm)],[c_11791,c_18238]) ).
tcf(c_18255,plain,
nil != iPr_def_10,
inference(demodulation,[status(thm)],[c_18238,c_18250]) ).
tcf(c_18256,plain,
frontsegP(iPr_def_10,nil),
inference(demodulation,[status(thm)],[c_13617,c_18250]) ).
tcf(c_18257,plain,
frontsegP(iPr_def_10,iPr_def_10),
inference(demodulation,[status(thm)],[c_13613,c_18250]) ).
tcf(c_18258,plain,
frontsegP(iPr_def_10,iPr_def_12),
inference(demodulation,[status(thm)],[c_13622,c_18250]) ).
tcf(c_18259,plain,
rearsegP(iPr_def_10,iPr_def_10),
inference(demodulation,[status(thm)],[c_13490,c_18250]) ).
tcf(c_18260,plain,
rearsegP(iPr_def_10,sK59),
inference(demodulation,[status(thm)],[c_13495,c_18250]) ).
tcf(c_18261,plain,
rearsegP(iPr_def_10,nil),
inference(demodulation,[status(thm)],[c_13486,c_18250]) ).
tcf(c_18265,plain,
app(iPr_def_12,sK59) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8905,c_18250]) ).
tcf(c_18266,plain,
sK55 = iPr_def_10,
inference(demodulation,[status(thm)],[c_8918,c_18250]) ).
tcf(c_18268,plain,
hd(iPr_def_10) = sK51(iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_18240,c_18255]) ).
tcf(c_18269,plain,
memberP(iPr_def_10,sK60),
inference(backward_subsumption_resolution,[status(thm)],[c_13283,c_18252]) ).
tcf(c_18270,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK60)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_10)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_12203,c_18252]) ).
tcf(c_18283,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(app(X0,X1),X1),X1) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_379,c_66]) ).
tcf(c_18284,plain,
! [X0: $i] :
( ( app(sK12(X0,X0),X0) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_185,c_66]) ).
tcf(c_18285,plain,
! [X0: $i] :
( ( app(sK12(X0,nil),nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_187,c_66]) ).
tcf(c_18286,plain,
( ( app(sK12(nil,nil),nil) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_369,c_66]) ).
tcf(c_18287,plain,
( ( app(sK12(iPr_def_12,iPr_def_11),iPr_def_11) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_13496,c_66]) ).
tcf(c_18288,plain,
( ( app(sK12(iPr_def_11,iPr_def_11),iPr_def_11) = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_13494,c_66]) ).
tcf(c_18289,plain,
( ( app(sK12(sK59,sK59),sK59) = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_13493,c_66]) ).
tcf(c_18290,plain,
( ( app(sK12(sK58,sK58),sK58) = sK58 )
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_13492,c_66]) ).
tcf(c_18291,plain,
( ( app(sK12(sK56,sK56),sK56) = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_13491,c_66]) ).
tcf(c_18292,plain,
( ( app(sK12(sK59,nil),nil) = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13489,c_66]) ).
tcf(c_18293,plain,
( ( app(sK12(sK58,nil),nil) = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13488,c_66]) ).
tcf(c_18294,plain,
( ( app(sK12(sK56,nil),nil) = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13487,c_66]) ).
tcf(c_18295,plain,
( ( app(sK12(iPr_def_11,nil),nil) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13485,c_66]) ).
tcf(c_18296,plain,
( ( app(sK12(iPr_def_12,nil),nil) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_13484,c_66]) ).
tcf(c_18297,plain,
( ( app(sK12(iPr_def_12,iPr_def_12),iPr_def_12) = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_13483,c_66]) ).
tcf(c_18298,plain,
app(sK12(iPr_def_12,iPr_def_12),iPr_def_12) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_18297,c_12842]) ).
tcf(c_18299,plain,
app(sK12(sK56,sK56),sK56) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_18291,c_8907]) ).
tcf(c_18300,plain,
app(sK12(sK58,sK58),sK58) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_18290,c_8915]) ).
tcf(c_18301,plain,
app(sK12(sK59,sK59),sK59) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_18289,c_8916]) ).
tcf(c_18302,plain,
app(sK12(iPr_def_11,iPr_def_11),iPr_def_11) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_18288,c_12706]) ).
tcf(c_18303,plain,
app(sK12(nil,nil),nil) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_18286,c_141]) ).
tcf(c_18306,plain,
app(sK12(iPr_def_12,nil),nil) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_18296,c_12842,c_141]) ).
tcf(c_18307,plain,
app(sK12(iPr_def_11,nil),nil) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_18295,c_12706,c_141]) ).
tcf(c_18308,plain,
app(sK12(sK56,nil),nil) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_18294,c_8907,c_141]) ).
tcf(c_18309,plain,
app(sK12(sK58,nil),nil) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_18293,c_8915,c_141]) ).
tcf(c_18310,plain,
app(sK12(sK59,nil),nil) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_18292,c_8916,c_141]) ).
tcf(c_18311,plain,
app(sK12(iPr_def_12,iPr_def_11),iPr_def_11) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_18287,c_12842,c_12706]) ).
tcf(c_18312,plain,
! [X0: $i] :
( ( app(sK12(X0,nil),nil) = X0 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18285,c_141]) ).
tcf(c_18354,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(superposition,[status(thm)],[c_8904,c_165]) ).
tcf(c_18368,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK11(iPr_def_12,sK58)) ),
inference(superposition,[status(thm)],[c_17820,c_165]) ).
tcf(c_18375,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(nil,sK8(app(X0,X1),X2)) = sK8(app(X0,X1),X2) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ memberP(X0,X2)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_165,c_12510]) ).
tcf(c_18376,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18354,c_12706,c_8915]) ).
tcf(c_18399,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8904,c_166]) ).
tcf(c_18413,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_12,sK58))
| ~ memberP(sK11(iPr_def_12,sK58),X0) ),
inference(superposition,[status(thm)],[c_17820,c_166]) ).
tcf(c_18414,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,nil))
| ~ memberP(sK11(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_17817,c_166]) ).
tcf(c_18415,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(sK58,nil))
| ~ memberP(sK11(sK58,nil),X0) ),
inference(superposition,[status(thm)],[c_17816,c_166]) ).
tcf(c_18416,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,nil))
| ~ memberP(sK11(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_17815,c_166]) ).
tcf(c_18417,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ memberP(sK11(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_17809,c_166]) ).
tcf(c_18418,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ memberP(sK11(sK58,sK58),X0) ),
inference(superposition,[status(thm)],[c_17808,c_166]) ).
tcf(c_18419,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ memberP(sK11(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_17807,c_166]) ).
tcf(c_18420,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(nil,sK8(app(X0,X1),X2)) = sK8(app(X0,X1),X2) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ memberP(X1,X2)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_166,c_12510]) ).
tcf(c_18421,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18399,c_12706,c_8915]) ).
tcf(c_18425,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ memberP(sK11(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18419,c_8907]) ).
tcf(c_18430,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ memberP(sK11(sK58,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18418,c_8915]) ).
tcf(c_18435,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ memberP(sK11(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18417,c_8916]) ).
tcf(c_18440,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,nil))
| ~ memberP(sK11(sK56,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18416,c_141]) ).
tcf(c_18445,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK58,nil))
| ~ memberP(sK11(sK58,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18415,c_141]) ).
tcf(c_18450,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,nil))
| ~ memberP(sK11(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18414,c_141]) ).
tcf(c_18455,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_12,sK58))
| ~ memberP(sK11(iPr_def_12,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18413,c_8915]) ).
tcf(c_18475,plain,
( ( nil = iPr_def_10 )
| ( cons(hd(iPr_def_10),tl(iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18245,c_224]) ).
tcf(c_18477,plain,
( ( nil = iPr_def_10 )
| ( cons(sK50(iPr_def_10),sK49(iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18245,c_147]) ).
tcf(c_18478,plain,
tl(cons(sK57,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_18245,c_13997]) ).
tcf(c_18479,plain,
hd(cons(sK57,iPr_def_10)) = sK57,
inference(superposition,[status(thm)],[c_18245,c_13821]) ).
tcf(c_18480,plain,
( ( nil = iPr_def_10 )
| ( tl(iPr_def_10) = sK52(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_18245,c_222]) ).
tcf(c_18491,plain,
( ( sK12(sK56,sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_18299,c_231]) ).
tcf(c_18493,plain,
( frontsegP(sK56,sK12(sK56,sK56))
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_18299,c_382]) ).
tcf(c_18496,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ memberP(sK12(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_18299,c_165]) ).
tcf(c_18498,plain,
( frontsegP(sK56,sK12(sK56,sK56))
| ~ ssList(sK12(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18493,c_8907]) ).
tcf(c_18501,plain,
( ( sK12(sK56,sK56) = nil )
| ~ ssList(sK12(sK56,sK56))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18491,c_8907]) ).
tcf(c_18505,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ memberP(sK12(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18496,c_8907]) ).
tcf(c_18511,plain,
( ( sK12(sK58,sK58) = nil )
| ~ ssList(sK58)
| ~ ssList(sK12(sK58,sK58))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_18300,c_231]) ).
tcf(c_18513,plain,
( frontsegP(sK58,sK12(sK58,sK58))
| ~ ssList(sK58)
| ~ ssList(sK12(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_18300,c_382]) ).
tcf(c_18516,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ memberP(sK12(sK58,sK58),X0) ),
inference(superposition,[status(thm)],[c_18300,c_165]) ).
tcf(c_18518,plain,
( frontsegP(sK58,sK12(sK58,sK58))
| ~ ssList(sK12(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18513,c_8915]) ).
tcf(c_18521,plain,
( ( sK12(sK58,sK58) = nil )
| ~ ssList(sK12(sK58,sK58))
| ( nil != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18511,c_8915]) ).
tcf(c_18525,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ memberP(sK12(sK58,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18516,c_8915]) ).
tcf(c_18531,plain,
( ( sK12(sK59,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_18301,c_231]) ).
tcf(c_18533,plain,
( frontsegP(sK59,sK12(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_18301,c_382]) ).
tcf(c_18536,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ memberP(sK12(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_18301,c_165]) ).
tcf(c_18538,plain,
( frontsegP(sK59,sK12(sK59,sK59))
| ~ ssList(sK12(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18533,c_8916]) ).
tcf(c_18541,plain,
( ( sK12(sK59,sK59) = nil )
| ~ ssList(sK12(sK59,sK59))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18531,c_8916]) ).
tcf(c_18545,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ memberP(sK12(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18536,c_8916]) ).
tcf(c_18551,plain,
( ( sK12(sK56,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(sK56,nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_18308,c_231]) ).
tcf(c_18553,plain,
( frontsegP(sK56,sK12(sK56,nil))
| ~ ssList(nil)
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_18308,c_382]) ).
tcf(c_18556,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,nil))
| ~ memberP(sK12(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_18308,c_165]) ).
tcf(c_18558,plain,
( frontsegP(sK56,sK12(sK56,nil))
| ~ ssList(sK12(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18553,c_141]) ).
tcf(c_18561,plain,
( ( sK12(sK56,nil) = nil )
| ~ ssList(sK12(sK56,nil))
| ( nil != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18551,c_141]) ).
tcf(c_18565,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,nil))
| ~ memberP(sK12(sK56,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18556,c_141]) ).
tcf(c_18571,plain,
( ( sK12(sK58,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(sK58,nil))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_18309,c_231]) ).
tcf(c_18573,plain,
( frontsegP(sK58,sK12(sK58,nil))
| ~ ssList(nil)
| ~ ssList(sK12(sK58,nil)) ),
inference(superposition,[status(thm)],[c_18309,c_382]) ).
tcf(c_18576,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(sK58,nil))
| ~ memberP(sK12(sK58,nil),X0) ),
inference(superposition,[status(thm)],[c_18309,c_165]) ).
tcf(c_18578,plain,
( frontsegP(sK58,sK12(sK58,nil))
| ~ ssList(sK12(sK58,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18573,c_141]) ).
tcf(c_18581,plain,
( ( sK12(sK58,nil) = nil )
| ~ ssList(sK12(sK58,nil))
| ( nil != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18571,c_141]) ).
tcf(c_18585,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK58,nil))
| ~ memberP(sK12(sK58,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18576,c_141]) ).
tcf(c_18591,plain,
( ( sK12(sK59,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(sK59,nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_18310,c_231]) ).
tcf(c_18593,plain,
( frontsegP(sK59,sK12(sK59,nil))
| ~ ssList(nil)
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_18310,c_382]) ).
tcf(c_18596,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,nil))
| ~ memberP(sK12(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_18310,c_165]) ).
tcf(c_18598,plain,
( frontsegP(sK59,sK12(sK59,nil))
| ~ ssList(sK12(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18593,c_141]) ).
tcf(c_18601,plain,
( ( sK12(sK59,nil) = nil )
| ~ ssList(sK12(sK59,nil))
| ( nil != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18591,c_141]) ).
tcf(c_18605,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,nil))
| ~ memberP(sK12(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18596,c_141]) ).
tcf(c_18611,plain,
tl(iPr_def_13) = sK52(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_14440,c_14440,c_17651,c_17747]) ).
tcf(c_18613,plain,
tl(iPr_def_10) = sK52(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_18611,c_18250]) ).
tcf(c_18614,plain,
( ssList(tl(iPr_def_10))
| ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_18613,c_221]) ).
tcf(c_18615,plain,
( ssList(tl(iPr_def_10))
| ( nil = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18614,c_18245]) ).
tcf(c_18630,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ( nil = sK59 )
| ~ ssItem(X0)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ memberP(sK49(sK59),X0) ),
inference(superposition,[status(thm)],[c_15483,c_169]) ).
tcf(c_18631,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ( nil = sK58 )
| ~ ssItem(X0)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ memberP(sK49(sK58),X0) ),
inference(superposition,[status(thm)],[c_15484,c_169]) ).
tcf(c_18632,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ( nil = sK56 )
| ~ ssItem(X0)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ memberP(sK49(sK56),X0) ),
inference(superposition,[status(thm)],[c_15485,c_169]) ).
tcf(c_18633,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ( nil = sK59 )
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ memberP(tl(sK59),X0) ),
inference(superposition,[status(thm)],[c_16297,c_169]) ).
tcf(c_18634,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ( nil = sK58 )
| ~ ssItem(X0)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ memberP(tl(sK58),X0) ),
inference(superposition,[status(thm)],[c_16298,c_169]) ).
tcf(c_18635,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ( nil = sK56 )
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ memberP(tl(sK56),X0) ),
inference(superposition,[status(thm)],[c_16299,c_169]) ).
tcf(c_18636,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(nil,sK8(cons(X0,X1),X2)) = sK8(cons(X0,X1),X2) )
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ memberP(X1,X2)
| ~ ssList(cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_169,c_12510]) ).
tcf(c_18695,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_382,c_174]) ).
tcf(c_18697,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_180,c_174]) ).
tcf(c_18699,plain,
( ( sK58 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK58)
| ~ frontsegP(sK58,iPr_def_12) ),
inference(superposition,[status(thm)],[c_13623,c_174]) ).
tcf(c_18700,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_11) ),
inference(superposition,[status(thm)],[c_13621,c_174]) ).
tcf(c_18701,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ frontsegP(nil,sK59) ),
inference(superposition,[status(thm)],[c_13620,c_174]) ).
tcf(c_18702,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ frontsegP(nil,sK58) ),
inference(superposition,[status(thm)],[c_13619,c_174]) ).
tcf(c_18703,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ frontsegP(nil,sK56) ),
inference(superposition,[status(thm)],[c_13618,c_174]) ).
tcf(c_18709,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_12) ),
inference(superposition,[status(thm)],[c_13610,c_174]) ).
tcf(c_18710,plain,
~ frontsegP(nil,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_18709,c_17651,c_12842,c_141]) ).
tcf(c_18711,plain,
( ( nil = sK56 )
| ~ frontsegP(nil,sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18703,c_8907,c_141]) ).
tcf(c_18714,plain,
( ( nil = sK58 )
| ~ frontsegP(nil,sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18702,c_8915,c_141]) ).
tcf(c_18717,plain,
( ( nil = sK59 )
| ~ frontsegP(nil,sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18701,c_8916,c_141]) ).
tcf(c_18720,plain,
~ frontsegP(nil,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_18700,c_13775,c_12706,c_141]) ).
tcf(c_18721,plain,
( ( sK58 = iPr_def_12 )
| ~ frontsegP(sK58,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18699,c_12842,c_8915]) ).
tcf(c_18741,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0) ),
inference(superposition,[status(thm)],[c_8904,c_176]) ).
tcf(c_18742,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12739,c_176]) ).
tcf(c_18743,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12532,c_176]) ).
tcf(c_18744,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12533,c_176]) ).
tcf(c_18745,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12534,c_176]) ).
tcf(c_18751,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12870,c_176]) ).
tcf(c_18752,plain,
! [X0: $i] :
( frontsegP(sK8(sK59,sK57),X0)
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(sK59,sK57)) ),
inference(superposition,[status(thm)],[c_13379,c_176]) ).
tcf(c_18753,plain,
! [X0: $i] :
( frontsegP(sK8(iPr_def_12,sK57),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(iPr_def_12,sK57)) ),
inference(superposition,[status(thm)],[c_13223,c_176]) ).
tcf(c_18754,plain,
! [X0: $i] :
( frontsegP(sK8(iPr_def_11,sK57),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(iPr_def_11,sK57)) ),
inference(superposition,[status(thm)],[c_13222,c_176]) ).
tcf(c_18755,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(sK11(iPr_def_12,sK58)) ),
inference(superposition,[status(thm)],[c_17820,c_176]) ).
tcf(c_18756,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_17817,c_176]) ).
tcf(c_18757,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(sK58,nil)) ),
inference(superposition,[status(thm)],[c_17816,c_176]) ).
tcf(c_18758,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_17815,c_176]) ).
tcf(c_18762,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ frontsegP(sK12(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_18301,c_176]) ).
tcf(c_18763,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ frontsegP(sK12(sK58,sK58),X0) ),
inference(superposition,[status(thm)],[c_18300,c_176]) ).
tcf(c_18764,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ frontsegP(sK12(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_18299,c_176]) ).
tcf(c_18765,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ frontsegP(sK12(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_18310,c_176]) ).
tcf(c_18766,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ frontsegP(sK12(sK58,nil),X0) ),
inference(superposition,[status(thm)],[c_18309,c_176]) ).
tcf(c_18767,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ frontsegP(sK12(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_18308,c_176]) ).
tcf(c_18768,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_176,c_174]) ).
tcf(c_18769,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(X2,sK11(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_176,c_63]) ).
tcf(c_18770,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18751,c_12842,c_141]) ).
tcf(c_18774,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18745,c_8907,c_141]) ).
tcf(c_18778,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18744,c_8915,c_141]) ).
tcf(c_18782,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18743,c_8916,c_141]) ).
tcf(c_18786,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18742,c_12706,c_141]) ).
tcf(c_18790,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18741,c_12706,c_8915]) ).
tcf(c_18798,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ frontsegP(sK12(sK56,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18767,c_141]) ).
tcf(c_18803,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ frontsegP(sK12(sK58,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18766,c_141]) ).
tcf(c_18808,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ frontsegP(sK12(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18765,c_141]) ).
tcf(c_18813,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ frontsegP(sK12(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18764,c_8907]) ).
tcf(c_18818,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ frontsegP(sK12(sK58,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18763,c_8915]) ).
tcf(c_18823,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ frontsegP(sK12(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18762,c_8916]) ).
tcf(c_18828,plain,
! [X0: $i] :
( frontsegP(sK8(iPr_def_11,sK57),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(iPr_def_11,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18754,c_141]) ).
tcf(c_18833,plain,
! [X0: $i] :
( frontsegP(sK8(iPr_def_12,sK57),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(iPr_def_12,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18753,c_141]) ).
tcf(c_18851,plain,
! [X0: $i] :
( frontsegP(sK8(sK59,sK57),X0)
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(sK59,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18752,c_141]) ).
tcf(c_18868,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_379,c_184]) ).
tcf(c_18870,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_187,c_184]) ).
tcf(c_18872,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ rearsegP(iPr_def_11,iPr_def_12) ),
inference(superposition,[status(thm)],[c_13496,c_184]) ).
tcf(c_18877,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ rearsegP(nil,sK59) ),
inference(superposition,[status(thm)],[c_13489,c_184]) ).
tcf(c_18878,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ rearsegP(nil,sK58) ),
inference(superposition,[status(thm)],[c_13488,c_184]) ).
tcf(c_18879,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ rearsegP(nil,sK56) ),
inference(superposition,[status(thm)],[c_13487,c_184]) ).
tcf(c_18880,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_11) ),
inference(superposition,[status(thm)],[c_13485,c_184]) ).
tcf(c_18881,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_12) ),
inference(superposition,[status(thm)],[c_13484,c_184]) ).
tcf(c_18883,plain,
~ rearsegP(nil,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_18881,c_17651,c_12842,c_141]) ).
tcf(c_18884,plain,
~ rearsegP(nil,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_18880,c_13775,c_12706,c_141]) ).
tcf(c_18885,plain,
( ( nil = sK56 )
| ~ rearsegP(nil,sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18879,c_8907,c_141]) ).
tcf(c_18888,plain,
( ( nil = sK58 )
| ~ rearsegP(nil,sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18878,c_8915,c_141]) ).
tcf(c_18891,plain,
( ( nil = sK59 )
| ~ rearsegP(nil,sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18877,c_8916,c_141]) ).
tcf(c_18894,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ rearsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18872,c_12842,c_12706]) ).
tcf(c_18950,plain,
! [X0: $i] :
( ( app(cons(sK60,nil),X0) = cons(sK60,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18252,c_227]) ).
tcf(c_18951,plain,
! [X0: $i] :
( ( tl(cons(sK60,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18252,c_152]) ).
tcf(c_18952,plain,
! [X0: $i] :
( ( hd(cons(sK60,X0)) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18252,c_150]) ).
tcf(c_18957,plain,
! [X0: $i] :
( ( cons(sK60,X0) = app(iPr_def_10,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_18950,c_8902]) ).
tcf(c_18964,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ frontsegP(nil,iPr_def_10) ),
inference(superposition,[status(thm)],[c_18256,c_174]) ).
tcf(c_18965,plain,
( ( app(nil,sK11(iPr_def_10,nil)) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_18256,c_63]) ).
tcf(c_18966,plain,
app(nil,sK11(iPr_def_10,nil)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_18965,c_18245,c_141]) ).
tcf(c_18967,plain,
( ( nil = iPr_def_10 )
| ~ frontsegP(nil,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18964,c_18245,c_141]) ).
tcf(c_19002,plain,
( ( sK11(sK56,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56))
| ~ rearsegP(sK11(sK56,sK56),sK56) ),
inference(superposition,[status(thm)],[c_17894,c_184]) ).
tcf(c_19003,plain,
( ( app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_17894,c_66]) ).
tcf(c_19004,plain,
( ( app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK11(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19003,c_8907]) ).
tcf(c_19007,plain,
( ( sK11(sK56,sK56) = sK56 )
| ~ ssList(sK11(sK56,sK56))
| ~ rearsegP(sK11(sK56,sK56),sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19002,c_8907]) ).
tcf(c_19011,plain,
tl(iPr_def_12) = sK52(iPr_def_12),
inference(global_subsumption_just,[status(thm)],[c_14441,c_14441,c_17651]) ).
tcf(c_19013,plain,
( ssList(tl(iPr_def_12))
| ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_19011,c_221]) ).
tcf(c_19014,plain,
ssList(tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_19013,c_17651,c_12842]) ).
tcf(c_19026,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8904,c_186]) ).
tcf(c_19031,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12632,c_186]) ).
tcf(c_19032,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12633,c_186]) ).
tcf(c_19033,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12634,c_186]) ).
tcf(c_19034,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12738,c_186]) ).
tcf(c_19035,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_12869,c_186]) ).
tcf(c_19040,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK58))
| ~ rearsegP(sK11(iPr_def_12,sK58),X0) ),
inference(superposition,[status(thm)],[c_17820,c_186]) ).
tcf(c_19041,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_17817,c_186]) ).
tcf(c_19042,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ~ rearsegP(sK11(sK58,nil),X0) ),
inference(superposition,[status(thm)],[c_17816,c_186]) ).
tcf(c_19043,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ rearsegP(sK11(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_17815,c_186]) ).
tcf(c_19044,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_17809,c_186]) ).
tcf(c_19045,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ rearsegP(sK11(sK58,sK58),X0) ),
inference(superposition,[status(thm)],[c_17808,c_186]) ).
tcf(c_19046,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ rearsegP(sK11(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_17807,c_186]) ).
tcf(c_19050,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_18310,c_186]) ).
tcf(c_19051,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(sK58,nil)) ),
inference(superposition,[status(thm)],[c_18309,c_186]) ).
tcf(c_19052,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_18308,c_186]) ).
tcf(c_19053,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_186,c_184]) ).
tcf(c_19054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(sK12(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_186,c_66]) ).
tcf(c_19055,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19035,c_12842,c_141]) ).
tcf(c_19059,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19034,c_12706,c_141]) ).
tcf(c_19063,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19033,c_8907,c_141]) ).
tcf(c_19067,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19032,c_8915,c_141]) ).
tcf(c_19071,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19031,c_8916,c_141]) ).
tcf(c_19075,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19026,c_12706,c_8915]) ).
tcf(c_19082,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ rearsegP(sK11(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19046,c_8907]) ).
tcf(c_19087,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ rearsegP(sK11(sK58,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19045,c_8915]) ).
tcf(c_19092,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19044,c_8916]) ).
tcf(c_19097,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ rearsegP(sK11(sK56,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19043,c_141]) ).
tcf(c_19102,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ~ rearsegP(sK11(sK58,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19042,c_141]) ).
tcf(c_19107,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19041,c_141]) ).
tcf(c_19112,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK58))
| ~ rearsegP(sK11(iPr_def_12,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19040,c_8915]) ).
tcf(c_19142,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_194,c_191]) ).
tcf(c_19153,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK8(X0,X1) = nil )
| ( hd(app(sK8(X0,X1),X2)) = hd(sK8(X0,X1)) )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_233]) ).
tcf(c_19154,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK9(X0,X1) = nil )
| ( hd(app(sK9(X0,X1),X2)) = hd(sK9(X0,X1)) )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_233]) ).
tcf(c_19155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(X0,X1) = nil )
| ( hd(app(app(X0,X1),X2)) = hd(app(X0,X1)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_233]) ).
tcf(c_19156,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK11(X0,X1) = nil )
| ( hd(app(sK11(X0,X1),X2)) = hd(sK11(X0,X1)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_233]) ).
tcf(c_19157,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK12(X0,X1) = nil )
| ( hd(app(sK12(X0,X1),X2)) = hd(sK12(X0,X1)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_233]) ).
tcf(c_19158,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK13(X0,X1) = nil )
| ( hd(app(sK13(X0,X1),X2)) = hd(sK13(X0,X1)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_233]) ).
tcf(c_19159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK14(X0,X1) = nil )
| ( hd(app(sK14(X0,X1),X2)) = hd(sK14(X0,X1)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_233]) ).
tcf(c_19169,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( sK34(X0) = nil )
| ( hd(app(sK34(X0),X1)) = hd(sK34(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_233]) ).
tcf(c_19170,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( sK33(X0) = nil )
| ( hd(app(sK33(X0),X1)) = hd(sK33(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_233]) ).
tcf(c_19171,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( sK32(X0) = nil )
| ( hd(app(sK32(X0),X1)) = hd(sK32(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_233]) ).
tcf(c_19172,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( sK39(X0) = nil )
| ( hd(app(sK39(X0),X1)) = hd(sK39(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_233]) ).
tcf(c_19173,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( sK38(X0) = nil )
| ( hd(app(sK38(X0),X1)) = hd(sK38(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_233]) ).
tcf(c_19174,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( sK37(X0) = nil )
| ( hd(app(sK37(X0),X1)) = hd(sK37(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_233]) ).
tcf(c_19175,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( sK44(X0) = nil )
| ( hd(app(sK44(X0),X1)) = hd(sK44(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_233]) ).
tcf(c_19176,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( sK43(X0) = nil )
| ( hd(app(sK43(X0),X1)) = hd(sK43(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_233]) ).
tcf(c_19177,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( sK42(X0) = nil )
| ( hd(app(sK42(X0),X1)) = hd(sK42(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_233]) ).
tcf(c_19178,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( sK48(X0) = nil )
| ( hd(app(sK48(X0),X1)) = hd(sK48(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_233]) ).
tcf(c_19179,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( sK47(X0) = nil )
| ( hd(app(sK47(X0),X1)) = hd(sK47(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_233]) ).
tcf(c_19180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X0,X1) = nil )
| ( hd(app(cons(X0,X1),X2)) = hd(cons(X0,X1)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_233]) ).
tcf(c_19182,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( sK49(X0) = nil )
| ( hd(app(sK49(X0),X1)) = hd(sK49(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_233]) ).
tcf(c_19183,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_151,c_233]) ).
tcf(c_19184,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( sK52(X0) = nil )
| ( hd(app(sK52(X0),X1)) = hd(sK52(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_233]) ).
tcf(c_19185,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( hd(app(sK59,X0)) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8916,c_233]) ).
tcf(c_19186,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( hd(app(sK58,X0)) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8915,c_233]) ).
tcf(c_19187,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( hd(app(sK56,X0)) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8907,c_233]) ).
tcf(c_19188,plain,
! [X0: $i] :
( ( nil = iPr_def_12 )
| ( hd(app(iPr_def_12,X0)) = hd(iPr_def_12) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12842,c_233]) ).
tcf(c_19189,plain,
! [X0: $i] :
( ( nil = iPr_def_11 )
| ( hd(app(iPr_def_11,X0)) = hd(iPr_def_11) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12706,c_233]) ).
tcf(c_19190,plain,
! [X0: $i] :
( ( nil = iPr_def_10 )
| ( hd(app(iPr_def_10,X0)) = hd(iPr_def_10) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18245,c_233]) ).
tcf(c_19191,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(app(tl(sK59),X0)) = hd(tl(sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15329,c_233]) ).
tcf(c_19192,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( hd(app(tl(sK58),X0)) = hd(tl(sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15365,c_233]) ).
tcf(c_19193,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(app(tl(sK56),X0)) = hd(tl(sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15756,c_233]) ).
tcf(c_19197,plain,
! [X0: $i] :
( ( nil = iPr_def_11 )
| ( hd(app(iPr_def_11,X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_19189,c_14676]) ).
tcf(c_19198,plain,
! [X0: $i] :
( ( hd(app(iPr_def_11,X0)) = sK57 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19197,c_13775]) ).
tcf(c_19201,plain,
! [X0: $i] :
( ( hd(app(iPr_def_12,X0)) = hd(iPr_def_12) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19188,c_17651]) ).
tcf(c_19462,plain,
( ( app(iPr_def_10,sK11(iPr_def_10,iPr_def_10)) = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_18257,c_63]) ).
tcf(c_19463,plain,
app(iPr_def_10,sK11(iPr_def_10,iPr_def_10)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_19462,c_18245]) ).
tcf(c_19464,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ~ frontsegP(iPr_def_12,iPr_def_10) ),
inference(superposition,[status(thm)],[c_18258,c_174]) ).
tcf(c_19465,plain,
( ( app(iPr_def_12,sK11(iPr_def_10,iPr_def_12)) = iPr_def_10 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_18258,c_63]) ).
tcf(c_19466,plain,
app(iPr_def_12,sK11(iPr_def_10,iPr_def_12)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_19465,c_12842,c_18245]) ).
tcf(c_19467,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ frontsegP(iPr_def_12,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19464,c_12842,c_18245]) ).
tcf(c_19471,plain,
( ( app(sK12(iPr_def_10,iPr_def_10),iPr_def_10) = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_18259,c_66]) ).
tcf(c_19472,plain,
app(sK12(iPr_def_10,iPr_def_10),iPr_def_10) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_19471,c_18245]) ).
tcf(c_19473,plain,
( ( sK59 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ rearsegP(sK59,iPr_def_10) ),
inference(superposition,[status(thm)],[c_18260,c_184]) ).
tcf(c_19474,plain,
( ( app(sK12(iPr_def_10,sK59),sK59) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_18260,c_66]) ).
tcf(c_19475,plain,
app(sK12(iPr_def_10,sK59),sK59) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_19474,c_18245,c_8916]) ).
tcf(c_19476,plain,
( ( sK59 = iPr_def_10 )
| ~ rearsegP(sK59,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19473,c_18245,c_8916]) ).
tcf(c_19481,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_10,sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(iPr_def_10,sK59)) ),
inference(superposition,[status(thm)],[c_19475,c_382]) ).
tcf(c_19484,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,sK59))
| ~ frontsegP(sK12(iPr_def_10,sK59),X0) ),
inference(superposition,[status(thm)],[c_19475,c_176]) ).
tcf(c_19485,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_10,sK59))
| ~ memberP(sK12(iPr_def_10,sK59),X0) ),
inference(superposition,[status(thm)],[c_19475,c_165]) ).
tcf(c_19486,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(sK12(iPr_def_10,sK59)) ),
inference(superposition,[status(thm)],[c_19475,c_186]) ).
tcf(c_19487,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(iPr_def_10,sK59)) ),
inference(superposition,[status(thm)],[c_19475,c_166]) ).
tcf(c_19488,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_10,sK59))
| ~ ssList(sK12(iPr_def_10,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19481,c_8916]) ).
tcf(c_19491,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(iPr_def_10,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19487,c_8916]) ).
tcf(c_19496,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(sK12(iPr_def_10,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19486,c_8916]) ).
tcf(c_19501,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_10,sK59))
| ~ memberP(sK12(iPr_def_10,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19485,c_8916]) ).
tcf(c_19506,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,sK59))
| ~ frontsegP(sK12(iPr_def_10,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19484,c_8916]) ).
tcf(c_19521,plain,
( ( sK11(sK58,sK58) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK11(sK58,sK58))
| ~ rearsegP(sK11(sK58,sK58),sK58) ),
inference(superposition,[status(thm)],[c_17919,c_184]) ).
tcf(c_19522,plain,
( ( app(sK12(sK58,sK11(sK58,sK58)),sK11(sK58,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK11(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_17919,c_66]) ).
tcf(c_19523,plain,
( ( app(sK12(sK58,sK11(sK58,sK58)),sK11(sK58,sK58)) = sK58 )
| ~ ssList(sK11(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19522,c_8915]) ).
tcf(c_19526,plain,
( ( sK11(sK58,sK58) = sK58 )
| ~ ssList(sK11(sK58,sK58))
| ~ rearsegP(sK11(sK58,sK58),sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19521,c_8915]) ).
tcf(c_19534,plain,
( ( sK11(sK59,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),sK59) ),
inference(superposition,[status(thm)],[c_17931,c_184]) ).
tcf(c_19535,plain,
( ( app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_17931,c_66]) ).
tcf(c_19536,plain,
( ( app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK11(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19535,c_8916]) ).
tcf(c_19539,plain,
( ( sK11(sK59,sK59) = sK59 )
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19534,c_8916]) ).
tcf(c_19547,plain,
( ( sK11(iPr_def_12,sK58) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_12,sK58))
| ~ rearsegP(sK11(iPr_def_12,sK58),iPr_def_12) ),
inference(superposition,[status(thm)],[c_18235,c_184]) ).
tcf(c_19548,plain,
( ( app(sK12(iPr_def_12,sK11(iPr_def_12,sK58)),sK11(iPr_def_12,sK58)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_12,sK58)) ),
inference(superposition,[status(thm)],[c_18235,c_66]) ).
tcf(c_19549,plain,
( ( app(sK12(iPr_def_12,sK11(iPr_def_12,sK58)),sK11(iPr_def_12,sK58)) = iPr_def_12 )
| ~ ssList(sK11(iPr_def_12,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19548,c_12842]) ).
tcf(c_19552,plain,
( ( sK11(iPr_def_12,sK58) = iPr_def_12 )
| ~ ssList(sK11(iPr_def_12,sK58))
| ~ rearsegP(sK11(iPr_def_12,sK58),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19547,c_12842]) ).
tcf(c_19574,plain,
( ( sK12(sK56,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56))
| ~ frontsegP(sK12(sK56,sK56),sK56) ),
inference(superposition,[status(thm)],[c_18498,c_174]) ).
tcf(c_19575,plain,
( ( app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_18498,c_63]) ).
tcf(c_19576,plain,
( ( app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56 )
| ~ ssList(sK12(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19575,c_8907]) ).
tcf(c_19579,plain,
( ( sK12(sK56,sK56) = sK56 )
| ~ ssList(sK12(sK56,sK56))
| ~ frontsegP(sK12(sK56,sK56),sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19574,c_8907]) ).
tcf(c_19601,plain,
! [X0: $i,X1: $i] :
( equalelemsP(sK8(X0,X1))
| ( app(sK47(sK8(X0,X1)),cons(sK45(sK8(X0,X1)),cons(sK46(sK8(X0,X1)),sK48(sK8(X0,X1))))) = sK8(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_132]) ).
tcf(c_19602,plain,
! [X0: $i,X1: $i] :
( equalelemsP(sK9(X0,X1))
| ( app(sK47(sK9(X0,X1)),cons(sK45(sK9(X0,X1)),cons(sK46(sK9(X0,X1)),sK48(sK9(X0,X1))))) = sK9(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_132]) ).
tcf(c_19603,plain,
! [X0: $i,X1: $i] :
( equalelemsP(app(X0,X1))
| ( app(sK47(app(X0,X1)),cons(sK45(app(X0,X1)),cons(sK46(app(X0,X1)),sK48(app(X0,X1))))) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_132]) ).
tcf(c_19604,plain,
! [X0: $i,X1: $i] :
( equalelemsP(sK11(X0,X1))
| ( app(sK47(sK11(X0,X1)),cons(sK45(sK11(X0,X1)),cons(sK46(sK11(X0,X1)),sK48(sK11(X0,X1))))) = sK11(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_132]) ).
tcf(c_19605,plain,
! [X0: $i,X1: $i] :
( equalelemsP(sK12(X0,X1))
| ( app(sK47(sK12(X0,X1)),cons(sK45(sK12(X0,X1)),cons(sK46(sK12(X0,X1)),sK48(sK12(X0,X1))))) = sK12(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_132]) ).
tcf(c_19606,plain,
! [X0: $i,X1: $i] :
( equalelemsP(sK13(X0,X1))
| ( app(sK47(sK13(X0,X1)),cons(sK45(sK13(X0,X1)),cons(sK46(sK13(X0,X1)),sK48(sK13(X0,X1))))) = sK13(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_132]) ).
tcf(c_19607,plain,
! [X0: $i,X1: $i] :
( equalelemsP(sK14(X0,X1))
| ( app(sK47(sK14(X0,X1)),cons(sK45(sK14(X0,X1)),cons(sK46(sK14(X0,X1)),sK48(sK14(X0,X1))))) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_132]) ).
tcf(c_19617,plain,
! [X0: $i] :
( totalorderedP(X0)
| equalelemsP(sK34(X0))
| ( app(sK47(sK34(X0)),cons(sK45(sK34(X0)),cons(sK46(sK34(X0)),sK48(sK34(X0))))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_132]) ).
tcf(c_19618,plain,
! [X0: $i] :
( totalorderedP(X0)
| equalelemsP(sK33(X0))
| ( app(sK47(sK33(X0)),cons(sK45(sK33(X0)),cons(sK46(sK33(X0)),sK48(sK33(X0))))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_132]) ).
tcf(c_19619,plain,
! [X0: $i] :
( totalorderedP(X0)
| equalelemsP(sK32(X0))
| ( app(sK47(sK32(X0)),cons(sK45(sK32(X0)),cons(sK46(sK32(X0)),sK48(sK32(X0))))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_132]) ).
tcf(c_19620,plain,
! [X0: $i] :
( strictorderedP(X0)
| equalelemsP(sK39(X0))
| ( app(sK47(sK39(X0)),cons(sK45(sK39(X0)),cons(sK46(sK39(X0)),sK48(sK39(X0))))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_132]) ).
tcf(c_19621,plain,
! [X0: $i] :
( strictorderedP(X0)
| equalelemsP(sK38(X0))
| ( app(sK47(sK38(X0)),cons(sK45(sK38(X0)),cons(sK46(sK38(X0)),sK48(sK38(X0))))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_132]) ).
tcf(c_19622,plain,
! [X0: $i] :
( strictorderedP(X0)
| equalelemsP(sK37(X0))
| ( app(sK47(sK37(X0)),cons(sK45(sK37(X0)),cons(sK46(sK37(X0)),sK48(sK37(X0))))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_132]) ).
tcf(c_19623,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| equalelemsP(sK44(X0))
| ( app(sK47(sK44(X0)),cons(sK45(sK44(X0)),cons(sK46(sK44(X0)),sK48(sK44(X0))))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_132]) ).
tcf(c_19624,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| equalelemsP(sK43(X0))
| ( app(sK47(sK43(X0)),cons(sK45(sK43(X0)),cons(sK46(sK43(X0)),sK48(sK43(X0))))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_132]) ).
tcf(c_19625,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| equalelemsP(sK42(X0))
| ( app(sK47(sK42(X0)),cons(sK45(sK42(X0)),cons(sK46(sK42(X0)),sK48(sK42(X0))))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_132]) ).
tcf(c_19626,plain,
! [X0: $i] :
( equalelemsP(X0)
| equalelemsP(sK48(X0))
| ( app(sK47(sK48(X0)),cons(sK45(sK48(X0)),cons(sK46(sK48(X0)),sK48(sK48(X0))))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_132]) ).
tcf(c_19627,plain,
! [X0: $i] :
( equalelemsP(X0)
| equalelemsP(sK47(X0))
| ( app(sK47(sK47(X0)),cons(sK45(sK47(X0)),cons(sK46(sK47(X0)),sK48(sK47(X0))))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_132]) ).
tcf(c_19628,plain,
! [X0: $i,X1: $i] :
( equalelemsP(cons(X0,X1))
| ( app(sK47(cons(X0,X1)),cons(sK45(cons(X0,X1)),cons(sK46(cons(X0,X1)),sK48(cons(X0,X1))))) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_132]) ).
tcf(c_19630,plain,
! [X0: $i] :
( equalelemsP(sK49(X0))
| ( X0 = nil )
| ( app(sK47(sK49(X0)),cons(sK45(sK49(X0)),cons(sK46(sK49(X0)),sK48(sK49(X0))))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_132]) ).
tcf(c_19631,plain,
! [X0: $i] :
( equalelemsP(tl(X0))
| ( X0 = nil )
| ( app(sK47(tl(X0)),cons(sK45(tl(X0)),cons(sK46(tl(X0)),sK48(tl(X0))))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_132]) ).
tcf(c_19632,plain,
! [X0: $i] :
( equalelemsP(sK52(X0))
| ( X0 = nil )
| ( app(sK47(sK52(X0)),cons(sK45(sK52(X0)),cons(sK46(sK52(X0)),sK48(sK52(X0))))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_132]) ).
tcf(c_19633,plain,
( equalelemsP(sK59)
| ( app(sK47(sK59),cons(sK45(sK59),cons(sK46(sK59),sK48(sK59)))) = sK59 ) ),
inference(superposition,[status(thm)],[c_8916,c_132]) ).
tcf(c_19634,plain,
( equalelemsP(sK58)
| ( app(sK47(sK58),cons(sK45(sK58),cons(sK46(sK58),sK48(sK58)))) = sK58 ) ),
inference(superposition,[status(thm)],[c_8915,c_132]) ).
tcf(c_19635,plain,
( equalelemsP(sK56)
| ( app(sK47(sK56),cons(sK45(sK56),cons(sK46(sK56),sK48(sK56)))) = sK56 ) ),
inference(superposition,[status(thm)],[c_8907,c_132]) ).
tcf(c_19636,plain,
( equalelemsP(iPr_def_12)
| ( app(sK47(iPr_def_12),cons(sK45(iPr_def_12),cons(sK46(iPr_def_12),sK48(iPr_def_12)))) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12842,c_132]) ).
tcf(c_19639,plain,
( equalelemsP(tl(sK59))
| ( nil = sK59 )
| ( app(sK47(tl(sK59)),cons(sK45(tl(sK59)),cons(sK46(tl(sK59)),sK48(tl(sK59))))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_132]) ).
tcf(c_19640,plain,
( equalelemsP(tl(sK58))
| ( nil = sK58 )
| ( app(sK47(tl(sK58)),cons(sK45(tl(sK58)),cons(sK46(tl(sK58)),sK48(tl(sK58))))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_132]) ).
tcf(c_19641,plain,
( equalelemsP(tl(sK56))
| ( nil = sK56 )
| ( app(sK47(tl(sK56)),cons(sK45(tl(sK56)),cons(sK46(tl(sK56)),sK48(tl(sK56))))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_132]) ).
tcf(c_19993,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_10) ),
inference(superposition,[status(thm)],[c_18261,c_184]) ).
tcf(c_19994,plain,
( ( app(sK12(iPr_def_10,nil),nil) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_18261,c_66]) ).
tcf(c_19995,plain,
app(sK12(iPr_def_10,nil),nil) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_19994,c_18245,c_141]) ).
tcf(c_19996,plain,
( ( nil = iPr_def_10 )
| ~ rearsegP(nil,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19993,c_18245,c_141]) ).
tcf(c_20000,plain,
( equalelemsP(tl(iPr_def_12))
| ( app(sK47(tl(iPr_def_12)),cons(sK45(tl(iPr_def_12)),cons(sK46(tl(iPr_def_12)),sK48(tl(iPr_def_12))))) = tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_19014,c_132]) ).
tcf(c_20001,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = nil )
| ( hd(app(tl(iPr_def_12),X0)) = hd(tl(iPr_def_12)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_19014,c_233]) ).
tcf(c_20002,plain,
( ( tl(iPr_def_12) = nil )
| ( cons(hd(tl(iPr_def_12)),tl(tl(iPr_def_12))) = tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_19014,c_224]) ).
tcf(c_20003,plain,
( ( tl(iPr_def_12) = nil )
| ( cons(sK50(tl(iPr_def_12)),sK49(tl(iPr_def_12))) = tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_19014,c_147]) ).
tcf(c_20004,plain,
tl(cons(sK57,tl(iPr_def_12))) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_19014,c_13997]) ).
tcf(c_20005,plain,
hd(cons(sK57,tl(iPr_def_12))) = sK57,
inference(superposition,[status(thm)],[c_19014,c_13821]) ).
tcf(c_20006,plain,
( ( tl(iPr_def_12) = nil )
| ( tl(tl(iPr_def_12)) = sK52(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_19014,c_222]) ).
tcf(c_20007,plain,
( ( tl(iPr_def_12) = nil )
| ( hd(tl(iPr_def_12)) = sK51(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_19014,c_220]) ).
tcf(c_20008,plain,
( duplicatefreeP(tl(iPr_def_12))
| ( sK40(tl(iPr_def_12)) = sK41(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_19014,c_123]) ).
tcf(c_20009,plain,
app(tl(iPr_def_12),nil) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_19014,c_232]) ).
tcf(c_20010,plain,
app(nil,tl(iPr_def_12)) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_19014,c_155]) ).
tcf(c_20081,plain,
( ( sK12(sK58,sK58) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK12(sK58,sK58))
| ~ frontsegP(sK12(sK58,sK58),sK58) ),
inference(superposition,[status(thm)],[c_18518,c_174]) ).
tcf(c_20082,plain,
( ( app(sK12(sK58,sK58),sK11(sK58,sK12(sK58,sK58))) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK12(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_18518,c_63]) ).
tcf(c_20083,plain,
( ( app(sK12(sK58,sK58),sK11(sK58,sK12(sK58,sK58))) = sK58 )
| ~ ssList(sK12(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20082,c_8915]) ).
tcf(c_20086,plain,
( ( sK12(sK58,sK58) = sK58 )
| ~ ssList(sK12(sK58,sK58))
| ~ frontsegP(sK12(sK58,sK58),sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20081,c_8915]) ).
tcf(c_20094,plain,
( ( sK12(sK59,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59))
| ~ frontsegP(sK12(sK59,sK59),sK59) ),
inference(superposition,[status(thm)],[c_18538,c_174]) ).
tcf(c_20095,plain,
( ( app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_18538,c_63]) ).
tcf(c_20096,plain,
( ( app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59 )
| ~ ssList(sK12(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20095,c_8916]) ).
tcf(c_20099,plain,
( ( sK12(sK59,sK59) = sK59 )
| ~ ssList(sK12(sK59,sK59))
| ~ frontsegP(sK12(sK59,sK59),sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20094,c_8916]) ).
tcf(c_20140,plain,
( frontsegP(iPr_def_12,sK12(sK58,sK58))
| ~ ssList(sK12(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_18518,c_18790]) ).
tcf(c_20174,plain,
( leq(sK50(sK59),hd(sK49(sK59)))
| ( nil = sK59 )
| ( sK49(sK59) = nil )
| ~ totalorderedP(sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_15483,c_208]) ).
tcf(c_20175,plain,
( leq(sK50(sK58),hd(sK49(sK58)))
| ( nil = sK58 )
| ( sK49(sK58) = nil )
| ~ totalorderedP(sK58)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58)) ),
inference(superposition,[status(thm)],[c_15484,c_208]) ).
tcf(c_20176,plain,
( leq(sK50(sK56),hd(sK49(sK56)))
| ( nil = sK56 )
| ( sK49(sK56) = nil )
| ~ totalorderedP(sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_15485,c_208]) ).
tcf(c_20177,plain,
( leq(hd(sK59),hd(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ totalorderedP(sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_16297,c_208]) ).
tcf(c_20178,plain,
( leq(hd(sK58),hd(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ totalorderedP(sK58)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58)) ),
inference(superposition,[status(thm)],[c_16298,c_208]) ).
tcf(c_20179,plain,
( leq(hd(sK56),hd(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ totalorderedP(sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_16299,c_208]) ).
tcf(c_20256,plain,
( lt(sK50(sK59),hd(sK49(sK59)))
| ( nil = sK59 )
| ( sK49(sK59) = nil )
| ~ strictorderedP(sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_15483,c_214]) ).
tcf(c_20257,plain,
( lt(sK50(sK58),hd(sK49(sK58)))
| ( nil = sK58 )
| ( sK49(sK58) = nil )
| ~ strictorderedP(sK58)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58)) ),
inference(superposition,[status(thm)],[c_15484,c_214]) ).
tcf(c_20258,plain,
( lt(sK50(sK56),hd(sK49(sK56)))
| ( nil = sK56 )
| ( sK49(sK56) = nil )
| ~ strictorderedP(sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_15485,c_214]) ).
tcf(c_20259,plain,
( lt(hd(sK59),hd(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ strictorderedP(sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_16297,c_214]) ).
tcf(c_20260,plain,
( lt(hd(sK58),hd(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ strictorderedP(sK58)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58)) ),
inference(superposition,[status(thm)],[c_16298,c_214]) ).
tcf(c_20261,plain,
( lt(hd(sK56),hd(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ strictorderedP(sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_16299,c_214]) ).
tcf(c_20387,plain,
( ( sK12(iPr_def_10,sK59) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK12(iPr_def_10,sK59))
| ~ frontsegP(sK12(iPr_def_10,sK59),iPr_def_10) ),
inference(superposition,[status(thm)],[c_19488,c_174]) ).
tcf(c_20388,plain,
( ( app(sK12(iPr_def_10,sK59),sK11(iPr_def_10,sK12(iPr_def_10,sK59))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK12(iPr_def_10,sK59)) ),
inference(superposition,[status(thm)],[c_19488,c_63]) ).
tcf(c_20389,plain,
( ( app(sK12(iPr_def_10,sK59),sK11(iPr_def_10,sK12(iPr_def_10,sK59))) = iPr_def_10 )
| ~ ssList(sK12(iPr_def_10,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20388,c_18245]) ).
tcf(c_20392,plain,
( ( sK12(iPr_def_10,sK59) = iPr_def_10 )
| ~ ssList(sK12(iPr_def_10,sK59))
| ~ frontsegP(sK12(iPr_def_10,sK59),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20387,c_18245]) ).
tcf(c_20426,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( hd(app(sK59,sK8(X0,X1))) = hd(sK59) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_19185]) ).
tcf(c_20427,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( hd(app(sK59,sK9(X0,X1))) = hd(sK59) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_19185]) ).
tcf(c_20428,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( hd(app(sK59,app(X0,X1))) = hd(sK59) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_19185]) ).
tcf(c_20429,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( hd(app(sK59,sK11(X0,X1))) = hd(sK59) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_19185]) ).
tcf(c_20430,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( hd(app(sK59,sK12(X0,X1))) = hd(sK59) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_19185]) ).
tcf(c_20431,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( hd(app(sK59,sK13(X0,X1))) = hd(sK59) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_19185]) ).
tcf(c_20432,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( hd(app(sK59,sK14(X0,X1))) = hd(sK59) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_19185]) ).
tcf(c_20442,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK34(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_19185]) ).
tcf(c_20443,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK33(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_19185]) ).
tcf(c_20444,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK32(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_19185]) ).
tcf(c_20445,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK39(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_19185]) ).
tcf(c_20446,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK38(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_19185]) ).
tcf(c_20447,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK37(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_19185]) ).
tcf(c_20448,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK44(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_19185]) ).
tcf(c_20449,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK43(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_19185]) ).
tcf(c_20450,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK42(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_19185]) ).
tcf(c_20451,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK48(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_19185]) ).
tcf(c_20452,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK47(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_19185]) ).
tcf(c_20453,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( hd(app(sK59,cons(X0,X1))) = hd(sK59) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_19185]) ).
tcf(c_20454,plain,
( ( nil = sK59 )
| ( hd(app(sK59,nil)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_141,c_19185]) ).
tcf(c_20455,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( hd(app(sK59,sK49(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_19185]) ).
tcf(c_20456,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( hd(app(sK59,tl(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_19185]) ).
tcf(c_20457,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( hd(app(sK59,sK52(X0))) = hd(sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_19185]) ).
tcf(c_20458,plain,
( ( nil = sK59 )
| ( hd(app(sK59,sK59)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_8916,c_19185]) ).
tcf(c_20459,plain,
( ( nil = sK59 )
| ( hd(app(sK59,sK58)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_8915,c_19185]) ).
tcf(c_20460,plain,
( ( nil = sK59 )
| ( hd(app(sK59,sK56)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_8907,c_19185]) ).
tcf(c_20461,plain,
( ( nil = sK59 )
| ( hd(app(sK59,iPr_def_12)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_12842,c_19185]) ).
tcf(c_20462,plain,
( ( nil = sK59 )
| ( hd(app(sK59,iPr_def_11)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_12706,c_19185]) ).
tcf(c_20463,plain,
( ( nil = sK59 )
| ( hd(app(sK59,iPr_def_10)) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_18245,c_19185]) ).
tcf(c_20464,plain,
( ( nil = sK59 )
| ( hd(app(sK59,tl(sK59))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_19185]) ).
tcf(c_20465,plain,
( ( nil = sK59 )
| ( nil = sK58 )
| ( hd(app(sK59,tl(sK58))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_15365,c_19185]) ).
tcf(c_20466,plain,
( ( nil = sK56 )
| ( nil = sK59 )
| ( hd(app(sK59,tl(sK56))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_15756,c_19185]) ).
tcf(c_20467,plain,
( ( nil = sK59 )
| ( hd(app(sK59,tl(iPr_def_12))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_19014,c_19185]) ).
tcf(c_20750,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(app(X0,X1),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X2)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_382,c_173]) ).
tcf(c_20752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(app(X0,X1),X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X2,X3)
| ~ frontsegP(X0,X2)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_176,c_173]) ).
tcf(c_20753,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_180,c_173]) ).
tcf(c_20755,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0) ),
inference(superposition,[status(thm)],[c_13623,c_173]) ).
tcf(c_20757,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_18256,c_173]) ).
tcf(c_20768,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_18258,c_173]) ).
tcf(c_20772,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,sK59))
| ~ frontsegP(sK12(iPr_def_10,sK59),X0) ),
inference(superposition,[status(thm)],[c_19488,c_173]) ).
tcf(c_20773,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20768,c_12842,c_18245]) ).
tcf(c_20777,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20757,c_18245,c_141]) ).
tcf(c_20782,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20753,c_141]) ).
tcf(c_20816,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,cons(sK57,X0))
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_8903,c_177]) ).
tcf(c_20817,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,cons(sK60,X0))
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_8902,c_177]) ).
tcf(c_20818,plain,
! [X0: $i] :
( frontsegP(sK59,cons(sK50(sK59),X0))
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ frontsegP(sK49(sK59),X0) ),
inference(superposition,[status(thm)],[c_15483,c_177]) ).
tcf(c_20819,plain,
! [X0: $i] :
( frontsegP(sK58,cons(sK50(sK58),X0))
| ( nil = sK58 )
| ~ ssList(X0)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ frontsegP(sK49(sK58),X0) ),
inference(superposition,[status(thm)],[c_15484,c_177]) ).
tcf(c_20820,plain,
! [X0: $i] :
( frontsegP(sK56,cons(sK50(sK56),X0))
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ frontsegP(sK49(sK56),X0) ),
inference(superposition,[status(thm)],[c_15485,c_177]) ).
tcf(c_20821,plain,
! [X0: $i] :
( frontsegP(sK59,cons(hd(sK59),X0))
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ frontsegP(tl(sK59),X0) ),
inference(superposition,[status(thm)],[c_16297,c_177]) ).
tcf(c_20822,plain,
! [X0: $i] :
( frontsegP(sK58,cons(hd(sK58),X0))
| ( nil = sK58 )
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ frontsegP(tl(sK58),X0) ),
inference(superposition,[status(thm)],[c_16298,c_177]) ).
tcf(c_20823,plain,
! [X0: $i] :
( frontsegP(sK56,cons(hd(sK56),X0))
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ frontsegP(tl(sK56),X0) ),
inference(superposition,[status(thm)],[c_16299,c_177]) ).
tcf(c_20824,plain,
! [X0: $i] :
( frontsegP(cons(sK57,X0),iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_8903,c_177]) ).
tcf(c_20825,plain,
! [X0: $i] :
( frontsegP(cons(sK60,X0),iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_8902,c_177]) ).
tcf(c_20826,plain,
! [X0: $i] :
( frontsegP(cons(sK50(sK59),X0),sK59)
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ frontsegP(X0,sK49(sK59)) ),
inference(superposition,[status(thm)],[c_15483,c_177]) ).
tcf(c_20827,plain,
! [X0: $i] :
( frontsegP(cons(sK50(sK58),X0),sK58)
| ( nil = sK58 )
| ~ ssList(X0)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ frontsegP(X0,sK49(sK58)) ),
inference(superposition,[status(thm)],[c_15484,c_177]) ).
tcf(c_20828,plain,
! [X0: $i] :
( frontsegP(cons(sK50(sK56),X0),sK56)
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ frontsegP(X0,sK49(sK56)) ),
inference(superposition,[status(thm)],[c_15485,c_177]) ).
tcf(c_20829,plain,
! [X0: $i] :
( frontsegP(cons(hd(sK59),X0),sK59)
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ frontsegP(X0,tl(sK59)) ),
inference(superposition,[status(thm)],[c_16297,c_177]) ).
tcf(c_20830,plain,
! [X0: $i] :
( frontsegP(cons(hd(sK58),X0),sK58)
| ( nil = sK58 )
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ frontsegP(X0,tl(sK58)) ),
inference(superposition,[status(thm)],[c_16298,c_177]) ).
tcf(c_20831,plain,
! [X0: $i] :
( frontsegP(cons(hd(sK56),X0),sK56)
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ frontsegP(X0,tl(sK56)) ),
inference(superposition,[status(thm)],[c_16299,c_177]) ).
tcf(c_20832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(cons(X0,X3),X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(X3,X1)
| ~ ssList(cons(X0,X3))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_177,c_173]) ).
tcf(c_20833,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X0,X1) = cons(X0,X2) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(X2,X1)
| ~ ssList(cons(X0,X2))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(X0,X1),cons(X0,X2)) ),
inference(superposition,[status(thm)],[c_177,c_174]) ).
tcf(c_20834,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(cons(X0,X2),sK11(cons(X0,X1),cons(X0,X2))) = cons(X0,X1) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(X1,X2)
| ~ ssList(cons(X0,X2))
| ~ ssList(cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_177,c_63]) ).
tcf(c_20835,plain,
! [X0: $i] :
( frontsegP(cons(sK60,X0),iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20825,c_141,c_18252]) ).
tcf(c_20839,plain,
! [X0: $i] :
( frontsegP(cons(sK57,X0),iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20824,c_141,c_8914]) ).
tcf(c_20843,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,cons(sK60,X0))
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20817,c_141,c_18252]) ).
tcf(c_20847,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,cons(sK57,X0))
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20816,c_141,c_8914]) ).
tcf(c_21144,plain,
! [X0: $i,X1: $i,X2: $i] :
( rearsegP(app(X0,X1),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X2)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_379,c_183]) ).
tcf(c_21146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( rearsegP(app(X0,X1),X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X2,X3)
| ~ rearsegP(X1,X2)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_186,c_183]) ).
tcf(c_21147,plain,
! [X0: $i,X1: $i] :
( rearsegP(X1,X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_187,c_183]) ).
tcf(c_21149,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_13496,c_183]) ).
tcf(c_21159,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_18261,c_183]) ).
tcf(c_21165,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK58))
| ~ rearsegP(sK11(iPr_def_12,sK58),X0) ),
inference(superposition,[status(thm)],[c_18235,c_183]) ).
tcf(c_21166,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(superposition,[status(thm)],[c_18260,c_183]) ).
tcf(c_21167,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21166,c_18245,c_8916]) ).
tcf(c_21171,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21159,c_18245,c_141]) ).
tcf(c_21176,plain,
! [X0: $i,X1: $i] :
( rearsegP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21147,c_141]) ).
tcf(c_21216,plain,
! [X0: $i,X1: $i] :
( segmentP(X1,X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_194,c_190]) ).
tcf(c_21218,plain,
! [X0: $i,X1: $i] :
( segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21216,c_141]) ).
tcf(c_21286,plain,
( rearsegP(iPr_def_10,sK11(sK59,sK59))
| ~ ssList(sK11(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_17931,c_21167]) ).
tcf(c_21304,plain,
! [X0: $i] :
( frontsegP(cons(sK57,X0),iPr_def_11)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_20839,c_180,c_20839]) ).
tcf(c_21312,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,X0),X1)
| ~ ssList(iPr_def_11)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X1)
| ~ ssList(cons(sK57,X0)) ),
inference(superposition,[status(thm)],[c_21304,c_173]) ).
tcf(c_21313,plain,
! [X0: $i] :
( ( cons(sK57,X0) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(cons(sK57,X0))
| ~ frontsegP(iPr_def_11,cons(sK57,X0)) ),
inference(superposition,[status(thm)],[c_21304,c_174]) ).
tcf(c_21314,plain,
! [X0: $i] :
( ( app(iPr_def_11,sK11(cons(sK57,X0),iPr_def_11)) = cons(sK57,X0) )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(cons(sK57,X0)) ),
inference(superposition,[status(thm)],[c_21304,c_63]) ).
tcf(c_21315,plain,
! [X0: $i] :
( ( app(iPr_def_11,sK11(cons(sK57,X0),iPr_def_11)) = cons(sK57,X0) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21314,c_12706]) ).
tcf(c_21319,plain,
! [X0: $i] :
( ( cons(sK57,X0) = iPr_def_11 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,X0))
| ~ frontsegP(iPr_def_11,cons(sK57,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21313,c_12706]) ).
tcf(c_21324,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X1)
| ~ ssList(cons(sK57,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21312,c_12706]) ).
tcf(c_21340,plain,
! [X0: $i,X1: $i] :
( frontsegP(iPr_def_11,X1)
| ~ ssList(iPr_def_11)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,X0))
| ~ frontsegP(cons(sK57,X0),X1) ),
inference(superposition,[status(thm)],[c_20847,c_173]) ).
tcf(c_21341,plain,
! [X0: $i] :
( ( cons(sK57,X0) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,X0))
| ~ frontsegP(cons(sK57,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_20847,c_174]) ).
tcf(c_21342,plain,
! [X0: $i] :
( ( app(cons(sK57,X0),sK11(iPr_def_11,cons(sK57,X0))) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,X0)) ),
inference(superposition,[status(thm)],[c_20847,c_63]) ).
tcf(c_21343,plain,
! [X0: $i] :
( ( app(cons(sK57,X0),sK11(iPr_def_11,cons(sK57,X0))) = iPr_def_11 )
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21342,c_12706]) ).
tcf(c_21348,plain,
! [X0: $i] :
( ( cons(sK57,X0) = iPr_def_11 )
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,X0))
| ~ frontsegP(cons(sK57,X0),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21341,c_12706]) ).
tcf(c_21354,plain,
! [X0: $i,X1: $i] :
( frontsegP(iPr_def_11,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,X0))
| ~ frontsegP(cons(sK57,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21340,c_12706]) ).
tcf(c_21369,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( hd(app(sK58,sK8(X0,X1))) = hd(sK58) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_19186]) ).
tcf(c_21370,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( hd(app(sK58,sK9(X0,X1))) = hd(sK58) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_19186]) ).
tcf(c_21371,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( hd(app(sK58,app(X0,X1))) = hd(sK58) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_19186]) ).
tcf(c_21372,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( hd(app(sK58,sK11(X0,X1))) = hd(sK58) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_19186]) ).
tcf(c_21373,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( hd(app(sK58,sK12(X0,X1))) = hd(sK58) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_19186]) ).
tcf(c_21374,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( hd(app(sK58,sK13(X0,X1))) = hd(sK58) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_19186]) ).
tcf(c_21375,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( hd(app(sK58,sK14(X0,X1))) = hd(sK58) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_19186]) ).
tcf(c_21385,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK34(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_19186]) ).
tcf(c_21386,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK33(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_19186]) ).
tcf(c_21387,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK32(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_19186]) ).
tcf(c_21388,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK39(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_19186]) ).
tcf(c_21389,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK38(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_19186]) ).
tcf(c_21390,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK37(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_19186]) ).
tcf(c_21391,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK44(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_19186]) ).
tcf(c_21392,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK43(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_19186]) ).
tcf(c_21393,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK42(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_19186]) ).
tcf(c_21394,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK48(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_19186]) ).
tcf(c_21395,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK47(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_19186]) ).
tcf(c_21396,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( hd(app(sK58,cons(X0,X1))) = hd(sK58) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_19186]) ).
tcf(c_21397,plain,
( ( nil = sK58 )
| ( hd(app(sK58,nil)) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_141,c_19186]) ).
tcf(c_21398,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ( hd(app(sK58,sK49(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_19186]) ).
tcf(c_21399,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ( hd(app(sK58,tl(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_19186]) ).
tcf(c_21400,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ( hd(app(sK58,sK52(X0))) = hd(sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_19186]) ).
tcf(c_21401,plain,
( ( nil = sK58 )
| ( hd(app(sK58,sK59)) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_8916,c_19186]) ).
tcf(c_21402,plain,
( ( nil = sK58 )
| ( hd(app(sK58,sK58)) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_8915,c_19186]) ).
tcf(c_21403,plain,
( ( nil = sK58 )
| ( hd(app(sK58,sK56)) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_8907,c_19186]) ).
tcf(c_21404,plain,
( ( nil = sK58 )
| ( hd(app(sK58,iPr_def_12)) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_12842,c_19186]) ).
tcf(c_21405,plain,
( ( nil = sK58 )
| ( hd(app(sK58,iPr_def_11)) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_12706,c_19186]) ).
tcf(c_21406,plain,
( ( nil = sK58 )
| ( hd(app(sK58,iPr_def_10)) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_18245,c_19186]) ).
tcf(c_21407,plain,
( ( nil = sK59 )
| ( nil = sK58 )
| ( hd(app(sK58,tl(sK59))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_15329,c_19186]) ).
tcf(c_21408,plain,
( ( nil = sK58 )
| ( hd(app(sK58,tl(sK58))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_19186]) ).
tcf(c_21409,plain,
( ( nil = sK56 )
| ( nil = sK58 )
| ( hd(app(sK58,tl(sK56))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_15756,c_19186]) ).
tcf(c_21410,plain,
( ( nil = sK58 )
| ( hd(app(sK58,tl(iPr_def_12))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_19014,c_19186]) ).
tcf(c_21413,plain,
( ( nil = sK58 )
| ( hd(sK58) = hd(iPr_def_12) ) ),
inference(light_normalisation,[status(thm)],[c_21405,c_8904]) ).
tcf(c_21626,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK8(X0,X1) = nil )
| ( app(tl(sK8(X0,X1)),X2) = tl(app(sK8(X0,X1),X2)) )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_234]) ).
tcf(c_21627,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK9(X0,X1) = nil )
| ( app(tl(sK9(X0,X1)),X2) = tl(app(sK9(X0,X1),X2)) )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_234]) ).
tcf(c_21628,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(X0,X1) = nil )
| ( app(tl(app(X0,X1)),X2) = tl(app(app(X0,X1),X2)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_234]) ).
tcf(c_21629,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK11(X0,X1) = nil )
| ( app(tl(sK11(X0,X1)),X2) = tl(app(sK11(X0,X1),X2)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_234]) ).
tcf(c_21630,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK12(X0,X1) = nil )
| ( app(tl(sK12(X0,X1)),X2) = tl(app(sK12(X0,X1),X2)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_234]) ).
tcf(c_21631,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK13(X0,X1) = nil )
| ( app(tl(sK13(X0,X1)),X2) = tl(app(sK13(X0,X1),X2)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_234]) ).
tcf(c_21632,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK14(X0,X1) = nil )
| ( app(tl(sK14(X0,X1)),X2) = tl(app(sK14(X0,X1),X2)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_234]) ).
tcf(c_21642,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( sK34(X0) = nil )
| ( app(tl(sK34(X0)),X1) = tl(app(sK34(X0),X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_234]) ).
tcf(c_21643,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( sK33(X0) = nil )
| ( app(tl(sK33(X0)),X1) = tl(app(sK33(X0),X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_234]) ).
tcf(c_21644,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( sK32(X0) = nil )
| ( app(tl(sK32(X0)),X1) = tl(app(sK32(X0),X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_234]) ).
tcf(c_21645,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( sK39(X0) = nil )
| ( app(tl(sK39(X0)),X1) = tl(app(sK39(X0),X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_234]) ).
tcf(c_21646,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( sK38(X0) = nil )
| ( app(tl(sK38(X0)),X1) = tl(app(sK38(X0),X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_234]) ).
tcf(c_21647,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( sK37(X0) = nil )
| ( app(tl(sK37(X0)),X1) = tl(app(sK37(X0),X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_234]) ).
tcf(c_21648,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( sK44(X0) = nil )
| ( app(tl(sK44(X0)),X1) = tl(app(sK44(X0),X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_234]) ).
tcf(c_21649,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( sK43(X0) = nil )
| ( app(tl(sK43(X0)),X1) = tl(app(sK43(X0),X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_234]) ).
tcf(c_21650,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( sK42(X0) = nil )
| ( app(tl(sK42(X0)),X1) = tl(app(sK42(X0),X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_234]) ).
tcf(c_21651,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( sK48(X0) = nil )
| ( app(tl(sK48(X0)),X1) = tl(app(sK48(X0),X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_234]) ).
tcf(c_21652,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( sK47(X0) = nil )
| ( app(tl(sK47(X0)),X1) = tl(app(sK47(X0),X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_234]) ).
tcf(c_21653,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X0,X1) = nil )
| ( app(tl(cons(X0,X1)),X2) = tl(app(cons(X0,X1),X2)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_234]) ).
tcf(c_21655,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( sK49(X0) = nil )
| ( app(tl(sK49(X0)),X1) = tl(app(sK49(X0),X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_234]) ).
tcf(c_21656,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_151,c_234]) ).
tcf(c_21657,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( sK52(X0) = nil )
| ( app(tl(sK52(X0)),X1) = tl(app(sK52(X0),X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_234]) ).
tcf(c_21658,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(tl(sK59),X0) = tl(app(sK59,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8916,c_234]) ).
tcf(c_21659,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( app(tl(sK58),X0) = tl(app(sK58,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8915,c_234]) ).
tcf(c_21660,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(tl(sK56),X0) = tl(app(sK56,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8907,c_234]) ).
tcf(c_21661,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_12842,c_234]) ).
tcf(c_21662,plain,
! [X0: $i] :
( ( nil = iPr_def_11 )
| ( app(tl(iPr_def_11),X0) = tl(app(iPr_def_11,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12706,c_234]) ).
tcf(c_21663,plain,
! [X0: $i] :
( ( nil = iPr_def_10 )
| ( app(tl(iPr_def_10),X0) = tl(app(iPr_def_10,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18245,c_234]) ).
tcf(c_21664,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( app(tl(tl(sK59)),X0) = tl(app(tl(sK59),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15329,c_234]) ).
tcf(c_21665,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( app(tl(tl(sK58)),X0) = tl(app(tl(sK58),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15365,c_234]) ).
tcf(c_21666,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( app(tl(tl(sK56)),X0) = tl(app(tl(sK56),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15756,c_234]) ).
tcf(c_21667,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = nil )
| ( app(tl(tl(iPr_def_12)),X0) = tl(app(tl(iPr_def_12),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_19014,c_234]) ).
tcf(c_21668,plain,
! [X0: $i] :
( ( app(tl(iPr_def_10),X0) = tl(app(iPr_def_10,X0)) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21663,c_18255]) ).
tcf(c_21671,plain,
! [X0: $i] :
( ( nil = iPr_def_11 )
| ( tl(app(iPr_def_11,X0)) = app(nil,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_21662,c_14848]) ).
tcf(c_21672,plain,
! [X0: $i] :
( ( tl(app(iPr_def_11,X0)) = app(nil,X0) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21671,c_13775]) ).
tcf(c_21675,plain,
! [X0: $i] :
( ( app(tl(iPr_def_12),X0) = tl(app(iPr_def_12,X0)) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21661,c_17651]) ).
tcf(c_21998,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_18265,c_176]) ).
tcf(c_21999,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_18265,c_165]) ).
tcf(c_22000,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(superposition,[status(thm)],[c_18265,c_186]) ).
tcf(c_22001,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(superposition,[status(thm)],[c_18265,c_166]) ).
tcf(c_22002,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22001,c_12842,c_8916]) ).
tcf(c_22007,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21999,c_12842,c_8916]) ).
tcf(c_22014,plain,
( ssItem(hd(iPr_def_10))
| ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_18268,c_219]) ).
tcf(c_22015,plain,
ssItem(hd(iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_22014,c_18255,c_18245]) ).
tcf(c_22016,plain,
! [X0: $i] :
( ( app(cons(hd(iPr_def_10),nil),X0) = cons(hd(iPr_def_10),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_22015,c_227]) ).
tcf(c_22017,plain,
! [X0: $i] :
( ( tl(cons(hd(iPr_def_10),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_22015,c_152]) ).
tcf(c_22018,plain,
! [X0: $i] :
( ( hd(cons(hd(iPr_def_10),X0)) = hd(iPr_def_10) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_22015,c_150]) ).
tcf(c_22040,plain,
( memberP(iPr_def_10,sK57)
| memberP(sK58,sK57)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8917,c_22002]) ).
tcf(c_22041,plain,
( memberP(iPr_def_10,sK57)
| memberP(sK58,sK57) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22040,c_8914]) ).
tcf(c_22048,plain,
( memberP(iPr_def_10,sK57)
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(sK58)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_22041,c_12510]) ).
tcf(c_22050,plain,
( memberP(iPr_def_10,sK57)
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22048,c_8915,c_8914]) ).
tcf(c_22059,plain,
( memberP(iPr_def_10,sK57)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12858,c_22007]) ).
tcf(c_22060,plain,
memberP(iPr_def_10,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_22059,c_8914]) ).
tcf(c_22066,plain,
( ( app(nil,sK8(iPr_def_10,sK57)) = sK8(iPr_def_10,sK57) )
| ~ ssList(iPr_def_10)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_22060,c_12510]) ).
tcf(c_22067,plain,
app(nil,sK8(iPr_def_10,sK57)) = sK8(iPr_def_10,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_22066,c_18245,c_8914]) ).
tcf(c_22083,plain,
( frontsegP(sK8(iPr_def_10,sK57),nil)
| ~ ssList(nil)
| ~ ssList(sK8(iPr_def_10,sK57)) ),
inference(superposition,[status(thm)],[c_22067,c_382]) ).
tcf(c_22084,plain,
( rearsegP(sK8(iPr_def_10,sK57),sK8(iPr_def_10,sK57))
| ~ ssList(nil)
| ~ ssList(sK8(iPr_def_10,sK57)) ),
inference(superposition,[status(thm)],[c_22067,c_379]) ).
tcf(c_22086,plain,
! [X0: $i] :
( frontsegP(sK8(iPr_def_10,sK57),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(iPr_def_10,sK57)) ),
inference(superposition,[status(thm)],[c_22067,c_176]) ).
tcf(c_22090,plain,
( frontsegP(sK8(iPr_def_10,sK57),nil)
| ~ ssList(sK8(iPr_def_10,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22083,c_141]) ).
tcf(c_22093,plain,
( rearsegP(sK8(iPr_def_10,sK57),sK8(iPr_def_10,sK57))
| ~ ssList(sK8(iPr_def_10,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22084,c_141]) ).
tcf(c_22096,plain,
! [X0: $i] :
( frontsegP(sK8(iPr_def_10,sK57),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(iPr_def_10,sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22086,c_141]) ).
tcf(c_22127,plain,
! [X0: $i,X1: $i] :
( ( cons(sK6,app(X1,X0)) = app(cons(sK6,X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_51,c_154]) ).
tcf(c_22128,plain,
! [X0: $i,X1: $i] :
( ( cons(sK7,app(X1,X0)) = app(cons(sK7,X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_52,c_154]) ).
tcf(c_22129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(sK10(X0),app(X2,X1)) = app(cons(sK10(X0),X2),X1) )
| ~ singletonP(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_59,c_154]) ).
tcf(c_22136,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(X0)
| ( cons(sK31(X0),app(X2,X1)) = app(cons(sK31(X0),X2),X1) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_112,c_154]) ).
tcf(c_22137,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(X0)
| ( cons(sK30(X0),app(X2,X1)) = app(cons(sK30(X0),X2),X1) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_113,c_154]) ).
tcf(c_22138,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(X0)
| ( cons(sK36(X0),app(X2,X1)) = app(cons(sK36(X0),X2),X1) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_120,c_154]) ).
tcf(c_22139,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(X0)
| ( cons(sK35(X0),app(X2,X1)) = app(cons(sK35(X0),X2),X1) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_121,c_154]) ).
tcf(c_22140,plain,
! [X0: $i,X1: $i,X2: $i] :
( duplicatefreeP(X0)
| ( cons(sK41(X0),app(X2,X1)) = app(cons(sK41(X0),X2),X1) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_128,c_154]) ).
tcf(c_22141,plain,
! [X0: $i,X1: $i,X2: $i] :
( duplicatefreeP(X0)
| ( cons(sK40(X0),app(X2,X1)) = app(cons(sK40(X0),X2),X1) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_129,c_154]) ).
tcf(c_22142,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalelemsP(X0)
| ( cons(sK46(X0),app(X2,X1)) = app(cons(sK46(X0),X2),X1) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_135,c_154]) ).
tcf(c_22143,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalelemsP(X0)
| ( cons(sK45(X0),app(X2,X1)) = app(cons(sK45(X0),X2),X1) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_136,c_154]) ).
tcf(c_22144,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ( cons(sK50(X0),app(X2,X1)) = app(cons(sK50(X0),X2),X1) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_146,c_154]) ).
tcf(c_22145,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ( cons(hd(X0),app(X2,X1)) = app(cons(hd(X0),X2),X1) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_149,c_154]) ).
tcf(c_22146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ( cons(sK51(X0),app(X2,X1)) = app(cons(sK51(X0),X2),X1) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_219,c_154]) ).
tcf(c_22147,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(X1,X0)) = app(cons(sK57,X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8914,c_154]) ).
tcf(c_22148,plain,
! [X0: $i,X1: $i] :
( ( cons(sK60,app(X1,X0)) = app(cons(sK60,X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18252,c_154]) ).
tcf(c_22149,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( cons(hd(sK59),app(X1,X0)) = app(cons(hd(sK59),X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15007,c_154]) ).
tcf(c_22150,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( cons(hd(sK58),app(X1,X0)) = app(cons(hd(sK58),X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15283,c_154]) ).
tcf(c_22151,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( cons(hd(sK56),app(X1,X0)) = app(cons(hd(sK56),X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15306,c_154]) ).
tcf(c_22152,plain,
! [X0: $i,X1: $i] :
( ( cons(hd(iPr_def_10),app(X1,X0)) = app(cons(hd(iPr_def_10),X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_22015,c_154]) ).
tcf(c_22450,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X0,X1)
| memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(cons(X1,X2))
| ~ ssList(app(X0,cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_54,c_167]) ).
tcf(c_22455,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK58,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_8904,c_167]) ).
tcf(c_22456,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(sK59,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_18265,c_167]) ).
tcf(c_22472,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK11(iPr_def_12,sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK11(iPr_def_12,sK58)) ),
inference(superposition,[status(thm)],[c_17820,c_167]) ).
tcf(c_22473,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(sK59,nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_17817,c_167]) ).
tcf(c_22474,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(sK58,nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK11(sK58,nil)) ),
inference(superposition,[status(thm)],[c_17816,c_167]) ).
tcf(c_22475,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(sK56,nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_17815,c_167]) ).
tcf(c_22482,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(sK59,nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_18310,c_167]) ).
tcf(c_22483,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(sK58,nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK12(sK58,nil)) ),
inference(superposition,[status(thm)],[c_18309,c_167]) ).
tcf(c_22484,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(sK56,nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_18308,c_167]) ).
tcf(c_22485,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK12(iPr_def_10,sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(sK12(iPr_def_10,sK59)) ),
inference(superposition,[status(thm)],[c_19475,c_167]) ).
tcf(c_22487,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(sK59,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22456,c_12842,c_8916]) ).
tcf(c_22492,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK58,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22455,c_12706,c_8915]) ).
tcf(c_22497,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK12(iPr_def_10,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(sK12(iPr_def_10,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22485,c_8916]) ).
tcf(c_22503,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(sK56,nil),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK12(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22484,c_141]) ).
tcf(c_22509,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(sK58,nil),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK12(sK58,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22483,c_141]) ).
tcf(c_22515,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(sK59,nil),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22482,c_141]) ).
tcf(c_22521,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(sK56,nil),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK11(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22475,c_141]) ).
tcf(c_22527,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(sK58,nil),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK11(sK58,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22474,c_141]) ).
tcf(c_22533,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(sK59,nil),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22473,c_141]) ).
tcf(c_22539,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK11(iPr_def_12,sK58),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK11(iPr_def_12,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22472,c_8915]) ).
tcf(c_22597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X2,X3),sK8(X0,X1)) = app(X2,app(X3,sK8(X0,X1))) )
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_228]) ).
tcf(c_22598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X2,X3),sK9(X0,X1)) = app(X2,app(X3,sK9(X0,X1))) )
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_228]) ).
tcf(c_22599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X2,X3),app(X0,X1)) = app(X2,app(X3,app(X0,X1))) )
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_228]) ).
tcf(c_22600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X2,X3),sK11(X0,X1)) = app(X2,app(X3,sK11(X0,X1))) )
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_228]) ).
tcf(c_22601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X2,X3),sK12(X0,X1)) = app(X2,app(X3,sK12(X0,X1))) )
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_228]) ).
tcf(c_22602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X2,X3),sK13(X0,X1)) = app(X2,app(X3,sK13(X0,X1))) )
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_228]) ).
tcf(c_22603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X2,X3),sK14(X0,X1)) = app(X2,app(X3,sK14(X0,X1))) )
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_228]) ).
tcf(c_22613,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(X0)
| ( app(app(X1,X2),sK34(X0)) = app(X1,app(X2,sK34(X0))) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_228]) ).
tcf(c_22614,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(X0)
| ( app(app(X1,X2),sK33(X0)) = app(X1,app(X2,sK33(X0))) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_228]) ).
tcf(c_22615,plain,
! [X0: $i,X1: $i,X2: $i] :
( totalorderedP(X0)
| ( app(app(X1,X2),sK32(X0)) = app(X1,app(X2,sK32(X0))) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_228]) ).
tcf(c_22616,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(X0)
| ( app(app(X1,X2),sK39(X0)) = app(X1,app(X2,sK39(X0))) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_228]) ).
tcf(c_22617,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(X0)
| ( app(app(X1,X2),sK38(X0)) = app(X1,app(X2,sK38(X0))) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_228]) ).
tcf(c_22618,plain,
! [X0: $i,X1: $i,X2: $i] :
( strictorderedP(X0)
| ( app(app(X1,X2),sK37(X0)) = app(X1,app(X2,sK37(X0))) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_228]) ).
tcf(c_22619,plain,
! [X0: $i,X1: $i,X2: $i] :
( duplicatefreeP(X0)
| ( app(app(X1,X2),sK44(X0)) = app(X1,app(X2,sK44(X0))) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_228]) ).
tcf(c_22620,plain,
! [X0: $i,X1: $i,X2: $i] :
( duplicatefreeP(X0)
| ( app(app(X1,X2),sK43(X0)) = app(X1,app(X2,sK43(X0))) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_228]) ).
tcf(c_22621,plain,
! [X0: $i,X1: $i,X2: $i] :
( duplicatefreeP(X0)
| ( app(app(X1,X2),sK42(X0)) = app(X1,app(X2,sK42(X0))) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_228]) ).
tcf(c_22622,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalelemsP(X0)
| ( app(app(X1,X2),sK48(X0)) = app(X1,app(X2,sK48(X0))) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_228]) ).
tcf(c_22623,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalelemsP(X0)
| ( app(app(X1,X2),sK47(X0)) = app(X1,app(X2,sK47(X0))) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_228]) ).
tcf(c_22624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X2,X3),cons(X0,X1)) = app(X2,app(X3,cons(X0,X1))) )
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_228]) ).
tcf(c_22625,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),nil) = app(X0,app(X1,nil)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_141,c_228]) ).
tcf(c_22626,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ( app(app(X1,X2),sK49(X0)) = app(X1,app(X2,sK49(X0))) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_228]) ).
tcf(c_22627,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ( app(app(X1,X2),tl(X0)) = app(X1,app(X2,tl(X0))) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_228]) ).
tcf(c_22628,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ( app(app(X1,X2),sK52(X0)) = app(X1,app(X2,sK52(X0))) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_228]) ).
tcf(c_22629,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),sK59) = app(X0,app(X1,sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8916,c_228]) ).
tcf(c_22630,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),sK58) = app(X0,app(X1,sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8915,c_228]) ).
tcf(c_22631,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),sK56) = app(X0,app(X1,sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8907,c_228]) ).
tcf(c_22632,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),iPr_def_12) = app(X0,app(X1,iPr_def_12)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12842,c_228]) ).
tcf(c_22633,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),iPr_def_11) = app(X0,app(X1,iPr_def_11)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12706,c_228]) ).
tcf(c_22634,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),iPr_def_10) = app(X0,app(X1,iPr_def_10)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18245,c_228]) ).
tcf(c_22635,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( app(app(X0,X1),tl(sK59)) = app(X0,app(X1,tl(sK59))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15329,c_228]) ).
tcf(c_22636,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( app(app(X0,X1),tl(sK58)) = app(X0,app(X1,tl(sK58))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15365,c_228]) ).
tcf(c_22637,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( app(app(X0,X1),tl(sK56)) = app(X0,app(X1,tl(sK56))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15756,c_228]) ).
tcf(c_22638,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),tl(iPr_def_12)) = app(X0,app(X1,tl(iPr_def_12))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_19014,c_228]) ).
tcf(c_22905,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(sK8(app(X0,cons(X1,X2)),X1),cons(X1,sK9(app(X0,cons(X1,X2)),X1))) = app(X0,cons(X1,X2)) )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_54,c_57]) ).
tcf(c_22906,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(sK8(app(X0,X1),X2),cons(X2,sK9(app(X0,X1),X2))) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ memberP(X0,X2)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_165,c_57]) ).
tcf(c_22907,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(sK8(app(X0,X1),X2),cons(X2,sK9(app(X0,X1),X2))) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ memberP(X1,X2)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_166,c_57]) ).
tcf(c_22908,plain,
! [X0: $i,X1: $i] :
( ( app(sK8(cons(X0,X1),X0),cons(X0,sK9(cons(X0,X1),X0))) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_168,c_57]) ).
tcf(c_22909,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(sK8(cons(X0,X1),X2),cons(X2,sK9(cons(X0,X1),X2))) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ memberP(X1,X2)
| ~ ssList(cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_169,c_57]) ).
tcf(c_22910,plain,
( ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ( app(sK8(sK58,sK57),cons(sK57,sK9(sK58,sK57))) = sK58 )
| ~ ssList(sK58)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_13224,c_57]) ).
tcf(c_22911,plain,
( memberP(sK58,sK57)
| ( app(sK8(sK59,sK57),cons(sK57,sK9(sK59,sK57))) = sK59 )
| ~ ssList(sK59)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8917,c_57]) ).
tcf(c_22912,plain,
( ( app(sK8(sK56,sK60),cons(sK60,sK9(sK56,sK60))) = sK56 )
| ~ ssList(sK56)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_18251,c_57]) ).
tcf(c_22913,plain,
! [X0: $i] :
( ( app(sK8(app(X0,iPr_def_11),sK57),cons(sK57,sK9(app(X0,iPr_def_11),sK57))) = app(X0,iPr_def_11) )
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_12209,c_57]) ).
tcf(c_22914,plain,
( ( app(sK8(iPr_def_12,sK57),cons(sK57,sK9(iPr_def_12,sK57))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12858,c_57]) ).
tcf(c_22915,plain,
( ( app(sK8(iPr_def_11,sK57),cons(sK57,sK9(iPr_def_11,sK57))) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_12779,c_57]) ).
tcf(c_22916,plain,
( ( app(sK8(iPr_def_10,sK60),cons(sK60,sK9(iPr_def_10,sK60))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_18269,c_57]) ).
tcf(c_22917,plain,
( ( app(sK8(iPr_def_10,sK57),cons(sK57,sK9(iPr_def_10,sK57))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_22060,c_57]) ).
tcf(c_22918,plain,
app(sK8(iPr_def_10,sK57),cons(sK57,sK9(iPr_def_10,sK57))) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_22917,c_18245,c_8914]) ).
tcf(c_22919,plain,
app(sK8(iPr_def_10,sK60),cons(sK60,sK9(iPr_def_10,sK60))) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_22916,c_18245,c_18252]) ).
tcf(c_22920,plain,
app(sK8(iPr_def_11,sK57),cons(sK57,sK9(iPr_def_11,sK57))) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_22915,c_12706,c_8914]) ).
tcf(c_22921,plain,
app(sK8(iPr_def_12,sK57),cons(sK57,sK9(iPr_def_12,sK57))) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_22914,c_12842,c_8914]) ).
tcf(c_22922,plain,
app(sK8(sK56,sK60),cons(sK60,sK9(sK56,sK60))) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_22912,c_8907,c_18252]) ).
tcf(c_22923,plain,
( memberP(sK58,sK57)
| ( app(sK8(sK59,sK57),cons(sK57,sK9(sK59,sK57))) = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22911,c_8916,c_8914]) ).
tcf(c_22926,plain,
( ( app(nil,sK8(sK59,sK57)) = sK8(sK59,sK57) )
| ( app(sK8(sK58,sK57),cons(sK57,sK9(sK58,sK57))) = sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22910,c_8915,c_8914]) ).
tcf(c_22929,plain,
! [X0: $i] :
( ( app(sK8(app(X0,iPr_def_11),sK57),cons(sK57,sK9(app(X0,iPr_def_11),sK57))) = app(X0,iPr_def_11) )
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22913,c_8914]) ).
tcf(c_22986,plain,
! [X0: $i] :
( memberP(sK8(iPr_def_10,sK57),X0)
| memberP(cons(sK57,sK9(iPr_def_10,sK57)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_10,sK57))) ),
inference(superposition,[status(thm)],[c_22918,c_167]) ).
tcf(c_22989,plain,
( frontsegP(iPr_def_10,sK8(iPr_def_10,sK57))
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_10,sK57))) ),
inference(superposition,[status(thm)],[c_22918,c_382]) ).
tcf(c_22990,plain,
( rearsegP(iPr_def_10,cons(sK57,sK9(iPr_def_10,sK57)))
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_10,sK57))) ),
inference(superposition,[status(thm)],[c_22918,c_379]) ).
tcf(c_22992,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ frontsegP(sK8(iPr_def_10,sK57),X0)
| ~ ssList(cons(sK57,sK9(iPr_def_10,sK57))) ),
inference(superposition,[status(thm)],[c_22918,c_176]) ).
tcf(c_22993,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ memberP(sK8(iPr_def_10,sK57),X0)
| ~ ssList(cons(sK57,sK9(iPr_def_10,sK57))) ),
inference(superposition,[status(thm)],[c_22918,c_165]) ).
tcf(c_22994,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_10,sK57)))
| ~ rearsegP(cons(sK57,sK9(iPr_def_10,sK57)),X0) ),
inference(superposition,[status(thm)],[c_22918,c_186]) ).
tcf(c_22995,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_10,sK57)))
| ~ memberP(cons(sK57,sK9(iPr_def_10,sK57)),X0) ),
inference(superposition,[status(thm)],[c_22918,c_166]) ).
tcf(c_23032,plain,
! [X0: $i] :
( memberP(sK8(iPr_def_11,sK57),X0)
| memberP(cons(sK57,sK9(iPr_def_11,sK57)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_11,sK57))) ),
inference(superposition,[status(thm)],[c_22920,c_167]) ).
tcf(c_23035,plain,
( frontsegP(iPr_def_11,sK8(iPr_def_11,sK57))
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_11,sK57))) ),
inference(superposition,[status(thm)],[c_22920,c_382]) ).
tcf(c_23036,plain,
( rearsegP(iPr_def_11,cons(sK57,sK9(iPr_def_11,sK57)))
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_11,sK57))) ),
inference(superposition,[status(thm)],[c_22920,c_379]) ).
tcf(c_23038,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ frontsegP(sK8(iPr_def_11,sK57),X0)
| ~ ssList(cons(sK57,sK9(iPr_def_11,sK57))) ),
inference(superposition,[status(thm)],[c_22920,c_176]) ).
tcf(c_23039,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ memberP(sK8(iPr_def_11,sK57),X0)
| ~ ssList(cons(sK57,sK9(iPr_def_11,sK57))) ),
inference(superposition,[status(thm)],[c_22920,c_165]) ).
tcf(c_23040,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_11,sK57)))
| ~ rearsegP(cons(sK57,sK9(iPr_def_11,sK57)),X0) ),
inference(superposition,[status(thm)],[c_22920,c_186]) ).
tcf(c_23041,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_11,sK57)))
| ~ memberP(cons(sK57,sK9(iPr_def_11,sK57)),X0) ),
inference(superposition,[status(thm)],[c_22920,c_166]) ).
tcf(c_23096,plain,
! [X0: $i] :
( memberP(sK8(iPr_def_12,sK57),X0)
| memberP(cons(sK57,sK9(iPr_def_12,sK57)),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_12,sK57))) ),
inference(superposition,[status(thm)],[c_22921,c_167]) ).
tcf(c_23099,plain,
( frontsegP(iPr_def_12,sK8(iPr_def_12,sK57))
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_12,sK57))) ),
inference(superposition,[status(thm)],[c_22921,c_382]) ).
tcf(c_23100,plain,
( rearsegP(iPr_def_12,cons(sK57,sK9(iPr_def_12,sK57)))
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_12,sK57))) ),
inference(superposition,[status(thm)],[c_22921,c_379]) ).
tcf(c_23102,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ frontsegP(sK8(iPr_def_12,sK57),X0)
| ~ ssList(cons(sK57,sK9(iPr_def_12,sK57))) ),
inference(superposition,[status(thm)],[c_22921,c_176]) ).
tcf(c_23103,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ memberP(sK8(iPr_def_12,sK57),X0)
| ~ ssList(cons(sK57,sK9(iPr_def_12,sK57))) ),
inference(superposition,[status(thm)],[c_22921,c_165]) ).
tcf(c_23104,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_12,sK57)))
| ~ rearsegP(cons(sK57,sK9(iPr_def_12,sK57)),X0) ),
inference(superposition,[status(thm)],[c_22921,c_186]) ).
tcf(c_23105,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_12,sK57)))
| ~ memberP(cons(sK57,sK9(iPr_def_12,sK57)),X0) ),
inference(superposition,[status(thm)],[c_22921,c_166]) ).
tcf(c_23142,plain,
! [X0: $i] :
( memberP(sK8(sK56,sK60),X0)
| memberP(cons(sK60,sK9(sK56,sK60)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(cons(sK60,sK9(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_22922,c_167]) ).
tcf(c_23143,plain,
( ( sK8(sK56,sK60) = nil )
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(cons(sK60,sK9(sK56,sK60)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_22922,c_231]) ).
tcf(c_23144,plain,
( ( cons(sK60,sK9(sK56,sK60)) = nil )
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(cons(sK60,sK9(sK56,sK60)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_22922,c_230]) ).
tcf(c_23145,plain,
( frontsegP(sK56,sK8(sK56,sK60))
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(cons(sK60,sK9(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_22922,c_382]) ).
tcf(c_23146,plain,
( rearsegP(sK56,cons(sK60,sK9(sK56,sK60)))
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(cons(sK60,sK9(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_22922,c_379]) ).
tcf(c_23148,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK8(sK56,sK60))
| ~ frontsegP(sK8(sK56,sK60),X0)
| ~ ssList(cons(sK60,sK9(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_22922,c_176]) ).
tcf(c_23149,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK8(sK56,sK60))
| ~ memberP(sK8(sK56,sK60),X0)
| ~ ssList(cons(sK60,sK9(sK56,sK60))) ),
inference(superposition,[status(thm)],[c_22922,c_165]) ).
tcf(c_23150,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(cons(sK60,sK9(sK56,sK60)))
| ~ rearsegP(cons(sK60,sK9(sK56,sK60)),X0) ),
inference(superposition,[status(thm)],[c_22922,c_186]) ).
tcf(c_23151,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(cons(sK60,sK9(sK56,sK60)))
| ~ memberP(cons(sK60,sK9(sK56,sK60)),X0) ),
inference(superposition,[status(thm)],[c_22922,c_166]) ).
tcf(c_23376,plain,
( memberP(iPr_def_12,sK60)
| memberP(sK59,sK60)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_18269,c_22487]) ).
tcf(c_23378,plain,
( memberP(iPr_def_12,sK60)
| memberP(sK59,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23376,c_18252]) ).
tcf(c_23396,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(app(sK56,sK8(X0,X1))) = hd(sK56) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_19187]) ).
tcf(c_23397,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(app(sK56,sK9(X0,X1))) = hd(sK56) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_19187]) ).
tcf(c_23398,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(app(sK56,app(X0,X1))) = hd(sK56) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_19187]) ).
tcf(c_23399,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(app(sK56,sK11(X0,X1))) = hd(sK56) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_19187]) ).
tcf(c_23400,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(app(sK56,sK12(X0,X1))) = hd(sK56) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_19187]) ).
tcf(c_23401,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(app(sK56,sK13(X0,X1))) = hd(sK56) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_19187]) ).
tcf(c_23402,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(app(sK56,sK14(X0,X1))) = hd(sK56) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_19187]) ).
tcf(c_23412,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK34(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_19187]) ).
tcf(c_23413,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK33(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_19187]) ).
tcf(c_23414,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK32(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_19187]) ).
tcf(c_23415,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK39(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_19187]) ).
tcf(c_23416,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK38(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_19187]) ).
tcf(c_23417,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK37(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_19187]) ).
tcf(c_23418,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK44(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_19187]) ).
tcf(c_23419,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK43(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_19187]) ).
tcf(c_23420,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK42(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_19187]) ).
tcf(c_23421,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK48(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_19187]) ).
tcf(c_23422,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK47(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_19187]) ).
tcf(c_23423,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(app(sK56,cons(X0,X1))) = hd(sK56) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_19187]) ).
tcf(c_23424,plain,
( ( nil = sK56 )
| ( hd(app(sK56,nil)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_141,c_19187]) ).
tcf(c_23425,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(app(sK56,sK49(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_19187]) ).
tcf(c_23426,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(app(sK56,tl(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_19187]) ).
tcf(c_23427,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( hd(app(sK56,sK52(X0))) = hd(sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_19187]) ).
tcf(c_23428,plain,
( ( nil = sK56 )
| ( hd(app(sK56,sK59)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_8916,c_19187]) ).
tcf(c_23429,plain,
( ( nil = sK56 )
| ( hd(app(sK56,sK58)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_8915,c_19187]) ).
tcf(c_23430,plain,
( ( nil = sK56 )
| ( hd(app(sK56,sK56)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_8907,c_19187]) ).
tcf(c_23431,plain,
( ( nil = sK56 )
| ( hd(app(sK56,iPr_def_12)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_12842,c_19187]) ).
tcf(c_23432,plain,
( ( nil = sK56 )
| ( hd(app(sK56,iPr_def_11)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_12706,c_19187]) ).
tcf(c_23433,plain,
( ( nil = sK56 )
| ( hd(app(sK56,iPr_def_10)) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_18245,c_19187]) ).
tcf(c_23434,plain,
( ( nil = sK56 )
| ( nil = sK59 )
| ( hd(app(sK56,tl(sK59))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_15329,c_19187]) ).
tcf(c_23435,plain,
( ( nil = sK56 )
| ( nil = sK58 )
| ( hd(app(sK56,tl(sK58))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_15365,c_19187]) ).
tcf(c_23436,plain,
( ( nil = sK56 )
| ( hd(app(sK56,tl(sK56))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_19187]) ).
tcf(c_23437,plain,
( ( nil = sK56 )
| ( hd(app(sK56,tl(iPr_def_12))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_19014,c_19187]) ).
tcf(c_23602,plain,
! [X0: $i] :
( ( app(app(sK13(X0,X0),X0),sK14(X0,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_192,c_70]) ).
tcf(c_23603,plain,
! [X0: $i] :
( ( app(app(sK13(X0,nil),nil),sK14(X0,nil)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_194,c_70]) ).
tcf(c_23604,plain,
( ( app(app(sK13(nil,nil),nil),sK14(nil,nil)) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_367,c_70]) ).
tcf(c_23605,plain,
app(app(sK13(nil,nil),nil),sK14(nil,nil)) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_23604,c_141]) ).
tcf(c_23608,plain,
! [X0: $i] :
( ( app(app(sK13(X0,nil),nil),sK14(X0,nil)) = X0 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23603,c_141]) ).
tcf(c_23617,plain,
! [X0: $i,X1: $i] :
( totalorderedP(sK8(X0,X1))
| ( app(app(sK32(sK8(X0,X1)),cons(sK30(sK8(X0,X1)),sK33(sK8(X0,X1)))),cons(sK31(sK8(X0,X1)),sK34(sK8(X0,X1)))) = sK8(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_108]) ).
tcf(c_23618,plain,
! [X0: $i,X1: $i] :
( totalorderedP(sK9(X0,X1))
| ( app(app(sK32(sK9(X0,X1)),cons(sK30(sK9(X0,X1)),sK33(sK9(X0,X1)))),cons(sK31(sK9(X0,X1)),sK34(sK9(X0,X1)))) = sK9(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_108]) ).
tcf(c_23619,plain,
! [X0: $i,X1: $i] :
( totalorderedP(app(X0,X1))
| ( app(app(sK32(app(X0,X1)),cons(sK30(app(X0,X1)),sK33(app(X0,X1)))),cons(sK31(app(X0,X1)),sK34(app(X0,X1)))) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_108]) ).
tcf(c_23620,plain,
! [X0: $i,X1: $i] :
( totalorderedP(sK11(X0,X1))
| ( app(app(sK32(sK11(X0,X1)),cons(sK30(sK11(X0,X1)),sK33(sK11(X0,X1)))),cons(sK31(sK11(X0,X1)),sK34(sK11(X0,X1)))) = sK11(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_108]) ).
tcf(c_23621,plain,
! [X0: $i,X1: $i] :
( totalorderedP(sK12(X0,X1))
| ( app(app(sK32(sK12(X0,X1)),cons(sK30(sK12(X0,X1)),sK33(sK12(X0,X1)))),cons(sK31(sK12(X0,X1)),sK34(sK12(X0,X1)))) = sK12(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_108]) ).
tcf(c_23622,plain,
! [X0: $i,X1: $i] :
( totalorderedP(sK13(X0,X1))
| ( app(app(sK32(sK13(X0,X1)),cons(sK30(sK13(X0,X1)),sK33(sK13(X0,X1)))),cons(sK31(sK13(X0,X1)),sK34(sK13(X0,X1)))) = sK13(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_108]) ).
tcf(c_23623,plain,
! [X0: $i,X1: $i] :
( totalorderedP(sK14(X0,X1))
| ( app(app(sK32(sK14(X0,X1)),cons(sK30(sK14(X0,X1)),sK33(sK14(X0,X1)))),cons(sK31(sK14(X0,X1)),sK34(sK14(X0,X1)))) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_108]) ).
tcf(c_23633,plain,
! [X0: $i] :
( totalorderedP(X0)
| totalorderedP(sK34(X0))
| ( app(app(sK32(sK34(X0)),cons(sK30(sK34(X0)),sK33(sK34(X0)))),cons(sK31(sK34(X0)),sK34(sK34(X0)))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_108]) ).
tcf(c_23634,plain,
! [X0: $i] :
( totalorderedP(X0)
| totalorderedP(sK33(X0))
| ( app(app(sK32(sK33(X0)),cons(sK30(sK33(X0)),sK33(sK33(X0)))),cons(sK31(sK33(X0)),sK34(sK33(X0)))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_108]) ).
tcf(c_23635,plain,
! [X0: $i] :
( totalorderedP(X0)
| totalorderedP(sK32(X0))
| ( app(app(sK32(sK32(X0)),cons(sK30(sK32(X0)),sK33(sK32(X0)))),cons(sK31(sK32(X0)),sK34(sK32(X0)))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_108]) ).
tcf(c_23636,plain,
! [X0: $i] :
( strictorderedP(X0)
| totalorderedP(sK39(X0))
| ( app(app(sK32(sK39(X0)),cons(sK30(sK39(X0)),sK33(sK39(X0)))),cons(sK31(sK39(X0)),sK34(sK39(X0)))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_108]) ).
tcf(c_23637,plain,
! [X0: $i] :
( strictorderedP(X0)
| totalorderedP(sK38(X0))
| ( app(app(sK32(sK38(X0)),cons(sK30(sK38(X0)),sK33(sK38(X0)))),cons(sK31(sK38(X0)),sK34(sK38(X0)))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_108]) ).
tcf(c_23638,plain,
! [X0: $i] :
( strictorderedP(X0)
| totalorderedP(sK37(X0))
| ( app(app(sK32(sK37(X0)),cons(sK30(sK37(X0)),sK33(sK37(X0)))),cons(sK31(sK37(X0)),sK34(sK37(X0)))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_108]) ).
tcf(c_23639,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| totalorderedP(sK44(X0))
| ( app(app(sK32(sK44(X0)),cons(sK30(sK44(X0)),sK33(sK44(X0)))),cons(sK31(sK44(X0)),sK34(sK44(X0)))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_108]) ).
tcf(c_23640,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| totalorderedP(sK43(X0))
| ( app(app(sK32(sK43(X0)),cons(sK30(sK43(X0)),sK33(sK43(X0)))),cons(sK31(sK43(X0)),sK34(sK43(X0)))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_108]) ).
tcf(c_23641,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| totalorderedP(sK42(X0))
| ( app(app(sK32(sK42(X0)),cons(sK30(sK42(X0)),sK33(sK42(X0)))),cons(sK31(sK42(X0)),sK34(sK42(X0)))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_108]) ).
tcf(c_23642,plain,
! [X0: $i] :
( equalelemsP(X0)
| totalorderedP(sK48(X0))
| ( app(app(sK32(sK48(X0)),cons(sK30(sK48(X0)),sK33(sK48(X0)))),cons(sK31(sK48(X0)),sK34(sK48(X0)))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_108]) ).
tcf(c_23643,plain,
! [X0: $i] :
( equalelemsP(X0)
| totalorderedP(sK47(X0))
| ( app(app(sK32(sK47(X0)),cons(sK30(sK47(X0)),sK33(sK47(X0)))),cons(sK31(sK47(X0)),sK34(sK47(X0)))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_108]) ).
tcf(c_23644,plain,
! [X0: $i,X1: $i] :
( totalorderedP(cons(X0,X1))
| ( app(app(sK32(cons(X0,X1)),cons(sK30(cons(X0,X1)),sK33(cons(X0,X1)))),cons(sK31(cons(X0,X1)),sK34(cons(X0,X1)))) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_108]) ).
tcf(c_23646,plain,
! [X0: $i] :
( totalorderedP(sK49(X0))
| ( X0 = nil )
| ( app(app(sK32(sK49(X0)),cons(sK30(sK49(X0)),sK33(sK49(X0)))),cons(sK31(sK49(X0)),sK34(sK49(X0)))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_108]) ).
tcf(c_23647,plain,
! [X0: $i] :
( totalorderedP(tl(X0))
| ( X0 = nil )
| ( app(app(sK32(tl(X0)),cons(sK30(tl(X0)),sK33(tl(X0)))),cons(sK31(tl(X0)),sK34(tl(X0)))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_108]) ).
tcf(c_23648,plain,
! [X0: $i] :
( totalorderedP(sK52(X0))
| ( X0 = nil )
| ( app(app(sK32(sK52(X0)),cons(sK30(sK52(X0)),sK33(sK52(X0)))),cons(sK31(sK52(X0)),sK34(sK52(X0)))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_108]) ).
tcf(c_23649,plain,
( totalorderedP(sK59)
| ( app(app(sK32(sK59),cons(sK30(sK59),sK33(sK59))),cons(sK31(sK59),sK34(sK59))) = sK59 ) ),
inference(superposition,[status(thm)],[c_8916,c_108]) ).
tcf(c_23650,plain,
( totalorderedP(sK58)
| ( app(app(sK32(sK58),cons(sK30(sK58),sK33(sK58))),cons(sK31(sK58),sK34(sK58))) = sK58 ) ),
inference(superposition,[status(thm)],[c_8915,c_108]) ).
tcf(c_23651,plain,
( totalorderedP(sK56)
| ( app(app(sK32(sK56),cons(sK30(sK56),sK33(sK56))),cons(sK31(sK56),sK34(sK56))) = sK56 ) ),
inference(superposition,[status(thm)],[c_8907,c_108]) ).
tcf(c_23652,plain,
( totalorderedP(iPr_def_12)
| ( app(app(sK32(iPr_def_12),cons(sK30(iPr_def_12),sK33(iPr_def_12))),cons(sK31(iPr_def_12),sK34(iPr_def_12))) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12842,c_108]) ).
tcf(c_23655,plain,
( totalorderedP(tl(sK59))
| ( nil = sK59 )
| ( app(app(sK32(tl(sK59)),cons(sK30(tl(sK59)),sK33(tl(sK59)))),cons(sK31(tl(sK59)),sK34(tl(sK59)))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_108]) ).
tcf(c_23656,plain,
( totalorderedP(tl(sK58))
| ( nil = sK58 )
| ( app(app(sK32(tl(sK58)),cons(sK30(tl(sK58)),sK33(tl(sK58)))),cons(sK31(tl(sK58)),sK34(tl(sK58)))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_108]) ).
tcf(c_23657,plain,
( totalorderedP(tl(sK56))
| ( nil = sK56 )
| ( app(app(sK32(tl(sK56)),cons(sK30(tl(sK56)),sK33(tl(sK56)))),cons(sK31(tl(sK56)),sK34(tl(sK56)))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_108]) ).
tcf(c_23658,plain,
( totalorderedP(tl(iPr_def_12))
| ( app(app(sK32(tl(iPr_def_12)),cons(sK30(tl(iPr_def_12)),sK33(tl(iPr_def_12)))),cons(sK31(tl(iPr_def_12)),sK34(tl(iPr_def_12)))) = tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_19014,c_108]) ).
tcf(c_23903,plain,
! [X0: $i,X1: $i] :
( strictorderedP(sK8(X0,X1))
| ( app(app(sK37(sK8(X0,X1)),cons(sK35(sK8(X0,X1)),sK38(sK8(X0,X1)))),cons(sK36(sK8(X0,X1)),sK39(sK8(X0,X1)))) = sK8(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_116]) ).
tcf(c_23904,plain,
! [X0: $i,X1: $i] :
( strictorderedP(sK9(X0,X1))
| ( app(app(sK37(sK9(X0,X1)),cons(sK35(sK9(X0,X1)),sK38(sK9(X0,X1)))),cons(sK36(sK9(X0,X1)),sK39(sK9(X0,X1)))) = sK9(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_116]) ).
tcf(c_23905,plain,
! [X0: $i,X1: $i] :
( strictorderedP(app(X0,X1))
| ( app(app(sK37(app(X0,X1)),cons(sK35(app(X0,X1)),sK38(app(X0,X1)))),cons(sK36(app(X0,X1)),sK39(app(X0,X1)))) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_116]) ).
tcf(c_23906,plain,
! [X0: $i,X1: $i] :
( strictorderedP(sK11(X0,X1))
| ( app(app(sK37(sK11(X0,X1)),cons(sK35(sK11(X0,X1)),sK38(sK11(X0,X1)))),cons(sK36(sK11(X0,X1)),sK39(sK11(X0,X1)))) = sK11(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_116]) ).
tcf(c_23907,plain,
! [X0: $i,X1: $i] :
( strictorderedP(sK12(X0,X1))
| ( app(app(sK37(sK12(X0,X1)),cons(sK35(sK12(X0,X1)),sK38(sK12(X0,X1)))),cons(sK36(sK12(X0,X1)),sK39(sK12(X0,X1)))) = sK12(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_116]) ).
tcf(c_23908,plain,
! [X0: $i,X1: $i] :
( strictorderedP(sK13(X0,X1))
| ( app(app(sK37(sK13(X0,X1)),cons(sK35(sK13(X0,X1)),sK38(sK13(X0,X1)))),cons(sK36(sK13(X0,X1)),sK39(sK13(X0,X1)))) = sK13(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_116]) ).
tcf(c_23909,plain,
! [X0: $i,X1: $i] :
( strictorderedP(sK14(X0,X1))
| ( app(app(sK37(sK14(X0,X1)),cons(sK35(sK14(X0,X1)),sK38(sK14(X0,X1)))),cons(sK36(sK14(X0,X1)),sK39(sK14(X0,X1)))) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_116]) ).
tcf(c_23919,plain,
! [X0: $i] :
( totalorderedP(X0)
| strictorderedP(sK34(X0))
| ( app(app(sK37(sK34(X0)),cons(sK35(sK34(X0)),sK38(sK34(X0)))),cons(sK36(sK34(X0)),sK39(sK34(X0)))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_116]) ).
tcf(c_23920,plain,
! [X0: $i] :
( totalorderedP(X0)
| strictorderedP(sK33(X0))
| ( app(app(sK37(sK33(X0)),cons(sK35(sK33(X0)),sK38(sK33(X0)))),cons(sK36(sK33(X0)),sK39(sK33(X0)))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_116]) ).
tcf(c_23921,plain,
! [X0: $i] :
( totalorderedP(X0)
| strictorderedP(sK32(X0))
| ( app(app(sK37(sK32(X0)),cons(sK35(sK32(X0)),sK38(sK32(X0)))),cons(sK36(sK32(X0)),sK39(sK32(X0)))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_116]) ).
tcf(c_23922,plain,
! [X0: $i] :
( strictorderedP(X0)
| strictorderedP(sK39(X0))
| ( app(app(sK37(sK39(X0)),cons(sK35(sK39(X0)),sK38(sK39(X0)))),cons(sK36(sK39(X0)),sK39(sK39(X0)))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_116]) ).
tcf(c_23923,plain,
! [X0: $i] :
( strictorderedP(X0)
| strictorderedP(sK38(X0))
| ( app(app(sK37(sK38(X0)),cons(sK35(sK38(X0)),sK38(sK38(X0)))),cons(sK36(sK38(X0)),sK39(sK38(X0)))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_116]) ).
tcf(c_23924,plain,
! [X0: $i] :
( strictorderedP(X0)
| strictorderedP(sK37(X0))
| ( app(app(sK37(sK37(X0)),cons(sK35(sK37(X0)),sK38(sK37(X0)))),cons(sK36(sK37(X0)),sK39(sK37(X0)))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_116]) ).
tcf(c_23925,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| strictorderedP(sK44(X0))
| ( app(app(sK37(sK44(X0)),cons(sK35(sK44(X0)),sK38(sK44(X0)))),cons(sK36(sK44(X0)),sK39(sK44(X0)))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_116]) ).
tcf(c_23926,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| strictorderedP(sK43(X0))
| ( app(app(sK37(sK43(X0)),cons(sK35(sK43(X0)),sK38(sK43(X0)))),cons(sK36(sK43(X0)),sK39(sK43(X0)))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_116]) ).
tcf(c_23927,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| strictorderedP(sK42(X0))
| ( app(app(sK37(sK42(X0)),cons(sK35(sK42(X0)),sK38(sK42(X0)))),cons(sK36(sK42(X0)),sK39(sK42(X0)))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_116]) ).
tcf(c_23928,plain,
! [X0: $i] :
( equalelemsP(X0)
| strictorderedP(sK48(X0))
| ( app(app(sK37(sK48(X0)),cons(sK35(sK48(X0)),sK38(sK48(X0)))),cons(sK36(sK48(X0)),sK39(sK48(X0)))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_116]) ).
tcf(c_23929,plain,
! [X0: $i] :
( equalelemsP(X0)
| strictorderedP(sK47(X0))
| ( app(app(sK37(sK47(X0)),cons(sK35(sK47(X0)),sK38(sK47(X0)))),cons(sK36(sK47(X0)),sK39(sK47(X0)))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_116]) ).
tcf(c_23930,plain,
! [X0: $i,X1: $i] :
( strictorderedP(cons(X0,X1))
| ( app(app(sK37(cons(X0,X1)),cons(sK35(cons(X0,X1)),sK38(cons(X0,X1)))),cons(sK36(cons(X0,X1)),sK39(cons(X0,X1)))) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_116]) ).
tcf(c_23932,plain,
! [X0: $i] :
( strictorderedP(sK49(X0))
| ( X0 = nil )
| ( app(app(sK37(sK49(X0)),cons(sK35(sK49(X0)),sK38(sK49(X0)))),cons(sK36(sK49(X0)),sK39(sK49(X0)))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_116]) ).
tcf(c_23933,plain,
! [X0: $i] :
( strictorderedP(tl(X0))
| ( X0 = nil )
| ( app(app(sK37(tl(X0)),cons(sK35(tl(X0)),sK38(tl(X0)))),cons(sK36(tl(X0)),sK39(tl(X0)))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_116]) ).
tcf(c_23934,plain,
! [X0: $i] :
( strictorderedP(sK52(X0))
| ( X0 = nil )
| ( app(app(sK37(sK52(X0)),cons(sK35(sK52(X0)),sK38(sK52(X0)))),cons(sK36(sK52(X0)),sK39(sK52(X0)))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_116]) ).
tcf(c_23935,plain,
( strictorderedP(sK59)
| ( app(app(sK37(sK59),cons(sK35(sK59),sK38(sK59))),cons(sK36(sK59),sK39(sK59))) = sK59 ) ),
inference(superposition,[status(thm)],[c_8916,c_116]) ).
tcf(c_23936,plain,
( strictorderedP(sK58)
| ( app(app(sK37(sK58),cons(sK35(sK58),sK38(sK58))),cons(sK36(sK58),sK39(sK58))) = sK58 ) ),
inference(superposition,[status(thm)],[c_8915,c_116]) ).
tcf(c_23937,plain,
( strictorderedP(sK56)
| ( app(app(sK37(sK56),cons(sK35(sK56),sK38(sK56))),cons(sK36(sK56),sK39(sK56))) = sK56 ) ),
inference(superposition,[status(thm)],[c_8907,c_116]) ).
tcf(c_23938,plain,
( strictorderedP(iPr_def_12)
| ( app(app(sK37(iPr_def_12),cons(sK35(iPr_def_12),sK38(iPr_def_12))),cons(sK36(iPr_def_12),sK39(iPr_def_12))) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12842,c_116]) ).
tcf(c_23941,plain,
( strictorderedP(tl(sK59))
| ( nil = sK59 )
| ( app(app(sK37(tl(sK59)),cons(sK35(tl(sK59)),sK38(tl(sK59)))),cons(sK36(tl(sK59)),sK39(tl(sK59)))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_116]) ).
tcf(c_23942,plain,
( strictorderedP(tl(sK58))
| ( nil = sK58 )
| ( app(app(sK37(tl(sK58)),cons(sK35(tl(sK58)),sK38(tl(sK58)))),cons(sK36(tl(sK58)),sK39(tl(sK58)))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_116]) ).
tcf(c_23943,plain,
( strictorderedP(tl(sK56))
| ( nil = sK56 )
| ( app(app(sK37(tl(sK56)),cons(sK35(tl(sK56)),sK38(tl(sK56)))),cons(sK36(tl(sK56)),sK39(tl(sK56)))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_116]) ).
tcf(c_23944,plain,
( strictorderedP(tl(iPr_def_12))
| ( app(app(sK37(tl(iPr_def_12)),cons(sK35(tl(iPr_def_12)),sK38(tl(iPr_def_12)))),cons(sK36(tl(iPr_def_12)),sK39(tl(iPr_def_12)))) = tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_19014,c_116]) ).
tcf(c_24168,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(sK8(X0,X1))
| ( app(app(sK42(sK8(X0,X1)),cons(sK40(sK8(X0,X1)),sK43(sK8(X0,X1)))),cons(sK41(sK8(X0,X1)),sK44(sK8(X0,X1)))) = sK8(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_124]) ).
tcf(c_24169,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(sK9(X0,X1))
| ( app(app(sK42(sK9(X0,X1)),cons(sK40(sK9(X0,X1)),sK43(sK9(X0,X1)))),cons(sK41(sK9(X0,X1)),sK44(sK9(X0,X1)))) = sK9(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_124]) ).
tcf(c_24170,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(app(X0,X1))
| ( app(app(sK42(app(X0,X1)),cons(sK40(app(X0,X1)),sK43(app(X0,X1)))),cons(sK41(app(X0,X1)),sK44(app(X0,X1)))) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_124]) ).
tcf(c_24171,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(sK11(X0,X1))
| ( app(app(sK42(sK11(X0,X1)),cons(sK40(sK11(X0,X1)),sK43(sK11(X0,X1)))),cons(sK41(sK11(X0,X1)),sK44(sK11(X0,X1)))) = sK11(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_124]) ).
tcf(c_24172,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(sK12(X0,X1))
| ( app(app(sK42(sK12(X0,X1)),cons(sK40(sK12(X0,X1)),sK43(sK12(X0,X1)))),cons(sK41(sK12(X0,X1)),sK44(sK12(X0,X1)))) = sK12(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_124]) ).
tcf(c_24173,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(sK13(X0,X1))
| ( app(app(sK42(sK13(X0,X1)),cons(sK40(sK13(X0,X1)),sK43(sK13(X0,X1)))),cons(sK41(sK13(X0,X1)),sK44(sK13(X0,X1)))) = sK13(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_124]) ).
tcf(c_24174,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(sK14(X0,X1))
| ( app(app(sK42(sK14(X0,X1)),cons(sK40(sK14(X0,X1)),sK43(sK14(X0,X1)))),cons(sK41(sK14(X0,X1)),sK44(sK14(X0,X1)))) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_124]) ).
tcf(c_24184,plain,
! [X0: $i] :
( totalorderedP(X0)
| duplicatefreeP(sK34(X0))
| ( app(app(sK42(sK34(X0)),cons(sK40(sK34(X0)),sK43(sK34(X0)))),cons(sK41(sK34(X0)),sK44(sK34(X0)))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_124]) ).
tcf(c_24185,plain,
! [X0: $i] :
( totalorderedP(X0)
| duplicatefreeP(sK33(X0))
| ( app(app(sK42(sK33(X0)),cons(sK40(sK33(X0)),sK43(sK33(X0)))),cons(sK41(sK33(X0)),sK44(sK33(X0)))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_124]) ).
tcf(c_24186,plain,
! [X0: $i] :
( totalorderedP(X0)
| duplicatefreeP(sK32(X0))
| ( app(app(sK42(sK32(X0)),cons(sK40(sK32(X0)),sK43(sK32(X0)))),cons(sK41(sK32(X0)),sK44(sK32(X0)))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_124]) ).
tcf(c_24187,plain,
! [X0: $i] :
( strictorderedP(X0)
| duplicatefreeP(sK39(X0))
| ( app(app(sK42(sK39(X0)),cons(sK40(sK39(X0)),sK43(sK39(X0)))),cons(sK41(sK39(X0)),sK44(sK39(X0)))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_124]) ).
tcf(c_24188,plain,
! [X0: $i] :
( strictorderedP(X0)
| duplicatefreeP(sK38(X0))
| ( app(app(sK42(sK38(X0)),cons(sK40(sK38(X0)),sK43(sK38(X0)))),cons(sK41(sK38(X0)),sK44(sK38(X0)))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_124]) ).
tcf(c_24189,plain,
! [X0: $i] :
( strictorderedP(X0)
| duplicatefreeP(sK37(X0))
| ( app(app(sK42(sK37(X0)),cons(sK40(sK37(X0)),sK43(sK37(X0)))),cons(sK41(sK37(X0)),sK44(sK37(X0)))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_124]) ).
tcf(c_24190,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| duplicatefreeP(sK44(X0))
| ( app(app(sK42(sK44(X0)),cons(sK40(sK44(X0)),sK43(sK44(X0)))),cons(sK41(sK44(X0)),sK44(sK44(X0)))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_124]) ).
tcf(c_24191,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| duplicatefreeP(sK43(X0))
| ( app(app(sK42(sK43(X0)),cons(sK40(sK43(X0)),sK43(sK43(X0)))),cons(sK41(sK43(X0)),sK44(sK43(X0)))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_124]) ).
tcf(c_24192,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| duplicatefreeP(sK42(X0))
| ( app(app(sK42(sK42(X0)),cons(sK40(sK42(X0)),sK43(sK42(X0)))),cons(sK41(sK42(X0)),sK44(sK42(X0)))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_124]) ).
tcf(c_24193,plain,
! [X0: $i] :
( equalelemsP(X0)
| duplicatefreeP(sK48(X0))
| ( app(app(sK42(sK48(X0)),cons(sK40(sK48(X0)),sK43(sK48(X0)))),cons(sK41(sK48(X0)),sK44(sK48(X0)))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_124]) ).
tcf(c_24194,plain,
! [X0: $i] :
( equalelemsP(X0)
| duplicatefreeP(sK47(X0))
| ( app(app(sK42(sK47(X0)),cons(sK40(sK47(X0)),sK43(sK47(X0)))),cons(sK41(sK47(X0)),sK44(sK47(X0)))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_124]) ).
tcf(c_24195,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(cons(X0,X1))
| ( app(app(sK42(cons(X0,X1)),cons(sK40(cons(X0,X1)),sK43(cons(X0,X1)))),cons(sK41(cons(X0,X1)),sK44(cons(X0,X1)))) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_124]) ).
tcf(c_24197,plain,
! [X0: $i] :
( duplicatefreeP(sK49(X0))
| ( X0 = nil )
| ( app(app(sK42(sK49(X0)),cons(sK40(sK49(X0)),sK43(sK49(X0)))),cons(sK41(sK49(X0)),sK44(sK49(X0)))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_124]) ).
tcf(c_24198,plain,
! [X0: $i] :
( duplicatefreeP(tl(X0))
| ( X0 = nil )
| ( app(app(sK42(tl(X0)),cons(sK40(tl(X0)),sK43(tl(X0)))),cons(sK41(tl(X0)),sK44(tl(X0)))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_124]) ).
tcf(c_24199,plain,
! [X0: $i] :
( duplicatefreeP(sK52(X0))
| ( X0 = nil )
| ( app(app(sK42(sK52(X0)),cons(sK40(sK52(X0)),sK43(sK52(X0)))),cons(sK41(sK52(X0)),sK44(sK52(X0)))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_124]) ).
tcf(c_24200,plain,
( duplicatefreeP(sK59)
| ( app(app(sK42(sK59),cons(sK40(sK59),sK43(sK59))),cons(sK41(sK59),sK44(sK59))) = sK59 ) ),
inference(superposition,[status(thm)],[c_8916,c_124]) ).
tcf(c_24201,plain,
( duplicatefreeP(sK58)
| ( app(app(sK42(sK58),cons(sK40(sK58),sK43(sK58))),cons(sK41(sK58),sK44(sK58))) = sK58 ) ),
inference(superposition,[status(thm)],[c_8915,c_124]) ).
tcf(c_24202,plain,
( duplicatefreeP(sK56)
| ( app(app(sK42(sK56),cons(sK40(sK56),sK43(sK56))),cons(sK41(sK56),sK44(sK56))) = sK56 ) ),
inference(superposition,[status(thm)],[c_8907,c_124]) ).
tcf(c_24203,plain,
( duplicatefreeP(iPr_def_12)
| ( app(app(sK42(iPr_def_12),cons(sK40(iPr_def_12),sK43(iPr_def_12))),cons(sK41(iPr_def_12),sK44(iPr_def_12))) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12842,c_124]) ).
tcf(c_24206,plain,
( duplicatefreeP(tl(sK59))
| ( nil = sK59 )
| ( app(app(sK42(tl(sK59)),cons(sK40(tl(sK59)),sK43(tl(sK59)))),cons(sK41(tl(sK59)),sK44(tl(sK59)))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_124]) ).
tcf(c_24207,plain,
( duplicatefreeP(tl(sK58))
| ( nil = sK58 )
| ( app(app(sK42(tl(sK58)),cons(sK40(tl(sK58)),sK43(tl(sK58)))),cons(sK41(tl(sK58)),sK44(tl(sK58)))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_124]) ).
tcf(c_24208,plain,
( duplicatefreeP(tl(sK56))
| ( nil = sK56 )
| ( app(app(sK42(tl(sK56)),cons(sK40(tl(sK56)),sK43(tl(sK56)))),cons(sK41(tl(sK56)),sK44(tl(sK56)))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_124]) ).
tcf(c_24209,plain,
( duplicatefreeP(tl(iPr_def_12))
| ( app(app(sK42(tl(iPr_def_12)),cons(sK40(tl(iPr_def_12)),sK43(tl(iPr_def_12)))),cons(sK41(tl(iPr_def_12)),sK44(tl(iPr_def_12)))) = tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_19014,c_124]) ).
tcf(c_24410,plain,
( memberP(iPr_def_12,sK60)
| ( app(sK8(sK59,sK60),cons(sK60,sK9(sK59,sK60))) = sK59 )
| ~ ssList(sK59)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_23378,c_57]) ).
tcf(c_24411,plain,
( memberP(iPr_def_12,sK60)
| ( app(nil,sK8(sK59,sK60)) = sK8(sK59,sK60) )
| ~ ssList(sK59)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_23378,c_12510]) ).
tcf(c_24413,plain,
( memberP(iPr_def_12,sK60)
| ( app(nil,sK8(sK59,sK60)) = sK8(sK59,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24411,c_8916,c_18252]) ).
tcf(c_24416,plain,
( memberP(iPr_def_12,sK60)
| ( app(sK8(sK59,sK60),cons(sK60,sK9(sK59,sK60))) = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24410,c_8916,c_18252]) ).
tcf(c_24425,plain,
ssItem(hd(iPr_def_13)),
inference(global_subsumption_just,[status(thm)],[c_15373,c_15373,c_17651,c_17747]) ).
tcf(c_24442,plain,
( ( app(nil,sK8(sK59,sK60)) = sK8(sK59,sK60) )
| ( app(sK8(iPr_def_12,sK60),cons(sK60,sK9(iPr_def_12,sK60))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_24413,c_57]) ).
tcf(c_24443,plain,
( ( app(nil,sK8(iPr_def_12,sK60)) = sK8(iPr_def_12,sK60) )
| ( app(nil,sK8(sK59,sK60)) = sK8(sK59,sK60) )
| ~ ssList(iPr_def_12)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_24413,c_12510]) ).
tcf(c_24444,plain,
( memberP(iPr_def_11,sK60)
| memberP(sK58,sK60)
| ( app(nil,sK8(sK59,sK60)) = sK8(sK59,sK60) )
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_24413,c_22492]) ).
tcf(c_24446,plain,
( memberP(iPr_def_11,sK60)
| memberP(sK58,sK60)
| ( app(nil,sK8(sK59,sK60)) = sK8(sK59,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24444,c_18252]) ).
tcf(c_24450,plain,
( ( app(nil,sK8(iPr_def_12,sK60)) = sK8(iPr_def_12,sK60) )
| ( app(nil,sK8(sK59,sK60)) = sK8(sK59,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24443,c_12842,c_18252]) ).
tcf(c_24453,plain,
( ( app(nil,sK8(sK59,sK60)) = sK8(sK59,sK60) )
| ( app(sK8(iPr_def_12,sK60),cons(sK60,sK9(iPr_def_12,sK60))) = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24442,c_12842,c_18252]) ).
tcf(c_24466,plain,
( ( app(sK8(sK59,sK57),cons(sK57,sK9(sK59,sK57))) = sK59 )
| ( app(sK8(sK58,sK57),cons(sK57,sK9(sK58,sK57))) = sK58 )
| ~ ssList(sK58)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_22923,c_57]) ).
tcf(c_24467,plain,
( ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ( app(sK8(sK59,sK57),cons(sK57,sK9(sK59,sK57))) = sK59 )
| ~ ssList(sK58)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_22923,c_12510]) ).
tcf(c_24469,plain,
( ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ( app(sK8(sK59,sK57),cons(sK57,sK9(sK59,sK57))) = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24467,c_8915,c_8914]) ).
tcf(c_24472,plain,
( ( app(sK8(sK59,sK57),cons(sK57,sK9(sK59,sK57))) = sK59 )
| ( app(sK8(sK58,sK57),cons(sK57,sK9(sK58,sK57))) = sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24466,c_8915,c_8914]) ).
tcf(c_24483,plain,
( ( app(sK8(iPr_def_12,sK60),cons(sK60,sK9(iPr_def_12,sK60))) = iPr_def_12 )
| ( app(sK8(sK59,sK60),cons(sK60,sK9(sK59,sK60))) = sK59 )
| ~ ssList(iPr_def_12)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_24416,c_57]) ).
tcf(c_24484,plain,
( ( app(nil,sK8(iPr_def_12,sK60)) = sK8(iPr_def_12,sK60) )
| ( app(sK8(sK59,sK60),cons(sK60,sK9(sK59,sK60))) = sK59 )
| ~ ssList(iPr_def_12)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_24416,c_12510]) ).
tcf(c_24485,plain,
( memberP(iPr_def_11,sK60)
| memberP(sK58,sK60)
| ( app(sK8(sK59,sK60),cons(sK60,sK9(sK59,sK60))) = sK59 )
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_24416,c_22492]) ).
tcf(c_24487,plain,
( memberP(iPr_def_11,sK60)
| memberP(sK58,sK60)
| ( app(sK8(sK59,sK60),cons(sK60,sK9(sK59,sK60))) = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24485,c_18252]) ).
tcf(c_24491,plain,
( ( app(nil,sK8(iPr_def_12,sK60)) = sK8(iPr_def_12,sK60) )
| ( app(sK8(sK59,sK60),cons(sK60,sK9(sK59,sK60))) = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24484,c_12842,c_18252]) ).
tcf(c_24494,plain,
( ( app(sK8(iPr_def_12,sK60),cons(sK60,sK9(iPr_def_12,sK60))) = iPr_def_12 )
| ( app(sK8(sK59,sK60),cons(sK60,sK9(sK59,sK60))) = sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24483,c_12842,c_18252]) ).
tcf(c_24517,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8903,c_170]) ).
tcf(c_24518,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8902,c_170]) ).
tcf(c_24519,plain,
! [X0: $i] :
( memberP(sK49(sK59),X0)
| ( nil = sK59 )
| ( sK50(sK59) = X0 )
| ~ ssItem(X0)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ memberP(sK59,X0) ),
inference(superposition,[status(thm)],[c_15483,c_170]) ).
tcf(c_24520,plain,
! [X0: $i] :
( memberP(sK49(sK58),X0)
| ( nil = sK58 )
| ( sK50(sK58) = X0 )
| ~ ssItem(X0)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ memberP(sK58,X0) ),
inference(superposition,[status(thm)],[c_15484,c_170]) ).
tcf(c_24521,plain,
! [X0: $i] :
( memberP(sK49(sK56),X0)
| ( nil = sK56 )
| ( sK50(sK56) = X0 )
| ~ ssItem(X0)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ memberP(sK56,X0) ),
inference(superposition,[status(thm)],[c_15485,c_170]) ).
tcf(c_24522,plain,
! [X0: $i] :
( memberP(tl(sK59),X0)
| ( nil = sK59 )
| ( hd(sK59) = X0 )
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ memberP(sK59,X0) ),
inference(superposition,[status(thm)],[c_16297,c_170]) ).
tcf(c_24523,plain,
! [X0: $i] :
( memberP(tl(sK58),X0)
| ( nil = sK58 )
| ( hd(sK58) = X0 )
| ~ ssItem(X0)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ memberP(sK58,X0) ),
inference(superposition,[status(thm)],[c_16298,c_170]) ).
tcf(c_24524,plain,
! [X0: $i] :
( memberP(tl(sK56),X0)
| ( nil = sK56 )
| ( hd(sK56) = X0 )
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ memberP(sK56,X0) ),
inference(superposition,[status(thm)],[c_16299,c_170]) ).
tcf(c_24525,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sK60 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24518,c_141,c_18252]) ).
tcf(c_24530,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24517,c_141,c_8914]) ).
tcf(c_24730,plain,
! [X0: $i] :
( totalorderedP(cons(hd(X0),X0))
| ( X0 = nil )
| ~ totalorderedP(X0)
| ~ ssList(X0)
| ~ ssItem(hd(X0)) ),
inference(superposition,[status(thm)],[c_158,c_206]) ).
tcf(c_24731,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_11))
| ( nil = iPr_def_11 )
| ~ totalorderedP(iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ leq(X0,sK57) ),
inference(superposition,[status(thm)],[c_14676,c_206]) ).
tcf(c_24732,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,sK59)))
| ( cons(sK57,sK59) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,sK59))
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_14667,c_206]) ).
tcf(c_24733,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,sK58)))
| ( cons(sK57,sK58) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,sK58))
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_14668,c_206]) ).
tcf(c_24734,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,sK56)))
| ( cons(sK57,sK56) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,sK56))
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_14669,c_206]) ).
tcf(c_24735,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,iPr_def_12)))
| ( cons(sK57,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,iPr_def_12))
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_14671,c_206]) ).
tcf(c_24736,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,iPr_def_11)))
| ( cons(sK57,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,iPr_def_11))
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_14672,c_206]) ).
tcf(c_24737,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,sK59)))
| ( nil = sK56 )
| ( cons(sK60,sK59) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,sK59))
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_15919,c_206]) ).
tcf(c_24738,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,sK58)))
| ( nil = sK56 )
| ( cons(sK60,sK58) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,sK58))
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_15920,c_206]) ).
tcf(c_24739,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,sK56)))
| ( nil = sK56 )
| ( cons(sK60,sK56) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,sK56))
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_15921,c_206]) ).
tcf(c_24740,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK59,sK59)))
| ( nil = sK59 )
| ( app(sK59,sK59) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK59,sK59))
| ~ ssList(app(sK59,sK59))
| ~ leq(X0,hd(sK59)) ),
inference(superposition,[status(thm)],[c_20458,c_206]) ).
tcf(c_24741,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK59,sK58)))
| ( nil = sK59 )
| ( app(sK59,sK58) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK59,sK58))
| ~ ssList(app(sK59,sK58))
| ~ leq(X0,hd(sK59)) ),
inference(superposition,[status(thm)],[c_20459,c_206]) ).
tcf(c_24742,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK59,sK56)))
| ( nil = sK59 )
| ( app(sK59,sK56) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK59,sK56))
| ~ ssList(app(sK59,sK56))
| ~ leq(X0,hd(sK59)) ),
inference(superposition,[status(thm)],[c_20460,c_206]) ).
tcf(c_24743,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK58,sK59)))
| ( nil = sK58 )
| ( app(sK58,sK59) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK58,sK59))
| ~ ssList(app(sK58,sK59))
| ~ leq(X0,hd(sK58)) ),
inference(superposition,[status(thm)],[c_21401,c_206]) ).
tcf(c_24744,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK58,sK58)))
| ( nil = sK58 )
| ( app(sK58,sK58) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK58,sK58))
| ~ ssList(app(sK58,sK58))
| ~ leq(X0,hd(sK58)) ),
inference(superposition,[status(thm)],[c_21402,c_206]) ).
tcf(c_24745,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK58,sK56)))
| ( nil = sK58 )
| ( app(sK58,sK56) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK58,sK56))
| ~ ssList(app(sK58,sK56))
| ~ leq(X0,hd(sK58)) ),
inference(superposition,[status(thm)],[c_21403,c_206]) ).
tcf(c_24746,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK56,sK59)))
| ( nil = sK56 )
| ( app(sK56,sK59) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK56,sK59))
| ~ ssList(app(sK56,sK59))
| ~ leq(X0,hd(sK56)) ),
inference(superposition,[status(thm)],[c_23428,c_206]) ).
tcf(c_24747,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK56,sK58)))
| ( nil = sK56 )
| ( app(sK56,sK58) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK56,sK58))
| ~ ssList(app(sK56,sK58))
| ~ leq(X0,hd(sK56)) ),
inference(superposition,[status(thm)],[c_23429,c_206]) ).
tcf(c_24748,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK56,sK56)))
| ( nil = sK56 )
| ( app(sK56,sK56) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK56,sK56))
| ~ ssList(app(sK56,sK56))
| ~ leq(X0,hd(sK56)) ),
inference(superposition,[status(thm)],[c_23430,c_206]) ).
tcf(c_24754,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_11))
| ~ ssItem(X0)
| ~ leq(X0,sK57) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24731,c_13775,c_12089,c_12706]) ).
tcf(c_24902,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_11))
| ( nil = iPr_def_11 )
| ~ strictorderedP(iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ lt(X0,sK57) ),
inference(superposition,[status(thm)],[c_14676,c_212]) ).
tcf(c_24903,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,sK59)))
| ( cons(sK57,sK59) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,sK59))
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_14667,c_212]) ).
tcf(c_24904,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,sK58)))
| ( cons(sK57,sK58) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,sK58))
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_14668,c_212]) ).
tcf(c_24905,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,sK56)))
| ( cons(sK57,sK56) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,sK56))
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_14669,c_212]) ).
tcf(c_24906,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,iPr_def_12)))
| ( cons(sK57,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,iPr_def_12))
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_14671,c_212]) ).
tcf(c_24907,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,iPr_def_11)))
| ( cons(sK57,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,iPr_def_11))
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_14672,c_212]) ).
tcf(c_24908,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,sK59)))
| ( nil = sK56 )
| ( cons(sK60,sK59) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,sK59))
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_15919,c_212]) ).
tcf(c_24909,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,sK58)))
| ( nil = sK56 )
| ( cons(sK60,sK58) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,sK58))
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_15920,c_212]) ).
tcf(c_24910,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,sK56)))
| ( nil = sK56 )
| ( cons(sK60,sK56) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,sK56))
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_15921,c_212]) ).
tcf(c_24911,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK59,sK59)))
| ( nil = sK59 )
| ( app(sK59,sK59) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK59,sK59))
| ~ ssList(app(sK59,sK59))
| ~ lt(X0,hd(sK59)) ),
inference(superposition,[status(thm)],[c_20458,c_212]) ).
tcf(c_24912,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK59,sK58)))
| ( nil = sK59 )
| ( app(sK59,sK58) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK59,sK58))
| ~ ssList(app(sK59,sK58))
| ~ lt(X0,hd(sK59)) ),
inference(superposition,[status(thm)],[c_20459,c_212]) ).
tcf(c_24913,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK59,sK56)))
| ( nil = sK59 )
| ( app(sK59,sK56) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK59,sK56))
| ~ ssList(app(sK59,sK56))
| ~ lt(X0,hd(sK59)) ),
inference(superposition,[status(thm)],[c_20460,c_212]) ).
tcf(c_24914,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK58,sK59)))
| ( nil = sK58 )
| ( app(sK58,sK59) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK58,sK59))
| ~ ssList(app(sK58,sK59))
| ~ lt(X0,hd(sK58)) ),
inference(superposition,[status(thm)],[c_21401,c_212]) ).
tcf(c_24915,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK58,sK58)))
| ( nil = sK58 )
| ( app(sK58,sK58) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK58,sK58))
| ~ ssList(app(sK58,sK58))
| ~ lt(X0,hd(sK58)) ),
inference(superposition,[status(thm)],[c_21402,c_212]) ).
tcf(c_24916,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK58,sK56)))
| ( nil = sK58 )
| ( app(sK58,sK56) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK58,sK56))
| ~ ssList(app(sK58,sK56))
| ~ lt(X0,hd(sK58)) ),
inference(superposition,[status(thm)],[c_21403,c_212]) ).
tcf(c_24917,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK56,sK59)))
| ( nil = sK56 )
| ( app(sK56,sK59) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK56,sK59))
| ~ ssList(app(sK56,sK59))
| ~ lt(X0,hd(sK56)) ),
inference(superposition,[status(thm)],[c_23428,c_212]) ).
tcf(c_24918,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK56,sK58)))
| ( nil = sK56 )
| ( app(sK56,sK58) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK56,sK58))
| ~ ssList(app(sK56,sK58))
| ~ lt(X0,hd(sK56)) ),
inference(superposition,[status(thm)],[c_23429,c_212]) ).
tcf(c_24919,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK56,sK56)))
| ( nil = sK56 )
| ( app(sK56,sK56) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK56,sK56))
| ~ ssList(app(sK56,sK56))
| ~ lt(X0,hd(sK56)) ),
inference(superposition,[status(thm)],[c_23430,c_212]) ).
tcf(c_24920,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_11))
| ~ ssItem(X0)
| ~ lt(X0,sK57) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24902,c_13775,c_12103,c_12706]) ).
tcf(c_25133,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != nil ) ),
inference(superposition,[status(thm)],[c_373,c_225]) ).
tcf(c_25134,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X0)
| ( app(X0,iPr_def_11) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8904,c_225]) ).
tcf(c_25135,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssList(X0)
| ( app(X0,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18265,c_225]) ).
tcf(c_25136,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,iPr_def_11) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12739,c_225]) ).
tcf(c_25137,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18243,c_225]) ).
tcf(c_25138,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_12532,c_225]) ).
tcf(c_25139,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,sK58) != sK58 ) ),
inference(superposition,[status(thm)],[c_12533,c_225]) ).
tcf(c_25140,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_12534,c_225]) ).
tcf(c_25141,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != sK59 ) ),
inference(superposition,[status(thm)],[c_12632,c_225]) ).
tcf(c_25142,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != sK58 ) ),
inference(superposition,[status(thm)],[c_12633,c_225]) ).
tcf(c_25143,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != sK56 ) ),
inference(superposition,[status(thm)],[c_12634,c_225]) ).
tcf(c_25144,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12738,c_225]) ).
tcf(c_25145,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18244,c_225]) ).
tcf(c_25146,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_12869,c_225]) ).
tcf(c_25147,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_12870,c_225]) ).
tcf(c_25148,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(sK59,sK57))
| ( app(X0,sK8(sK59,sK57)) != sK8(sK59,sK57) ) ),
inference(superposition,[status(thm)],[c_13379,c_225]) ).
tcf(c_25149,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ( app(X0,sK8(iPr_def_12,sK57)) != sK8(iPr_def_12,sK57) ) ),
inference(superposition,[status(thm)],[c_13223,c_225]) ).
tcf(c_25150,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ( app(X0,sK8(iPr_def_11,sK57)) != sK8(iPr_def_11,sK57) ) ),
inference(superposition,[status(thm)],[c_13222,c_225]) ).
tcf(c_25151,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK58))
| ( app(X0,sK11(iPr_def_12,sK58)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_17820,c_225]) ).
tcf(c_25152,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ( app(X0,sK11(sK59,nil)) != sK59 ) ),
inference(superposition,[status(thm)],[c_17817,c_225]) ).
tcf(c_25153,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ( app(X0,sK11(sK58,nil)) != sK58 ) ),
inference(superposition,[status(thm)],[c_17816,c_225]) ).
tcf(c_25154,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ( app(X0,sK11(sK56,nil)) != sK56 ) ),
inference(superposition,[status(thm)],[c_17815,c_225]) ).
tcf(c_25155,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ( app(X0,sK11(sK59,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_17809,c_225]) ).
tcf(c_25156,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ( app(X0,sK11(sK58,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_17808,c_225]) ).
tcf(c_25157,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ( app(X0,sK11(sK56,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_17807,c_225]) ).
tcf(c_25158,plain,
! [X0: $i] :
( ( sK12(sK59,sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ( app(X0,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_18301,c_225]) ).
tcf(c_25159,plain,
! [X0: $i] :
( ( sK12(sK58,sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ( app(X0,sK58) != sK58 ) ),
inference(superposition,[status(thm)],[c_18300,c_225]) ).
tcf(c_25160,plain,
! [X0: $i] :
( ( sK12(sK56,sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ( app(X0,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_18299,c_225]) ).
tcf(c_25161,plain,
! [X0: $i] :
( ( sK12(sK59,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ( app(X0,nil) != sK59 ) ),
inference(superposition,[status(thm)],[c_18310,c_225]) ).
tcf(c_25162,plain,
! [X0: $i] :
( ( sK12(sK58,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ( app(X0,nil) != sK58 ) ),
inference(superposition,[status(thm)],[c_18309,c_225]) ).
tcf(c_25163,plain,
! [X0: $i] :
( ( sK12(sK56,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ( app(X0,nil) != sK56 ) ),
inference(superposition,[status(thm)],[c_18308,c_225]) ).
tcf(c_25164,plain,
! [X0: $i] :
( ( sK12(iPr_def_10,sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,sK59))
| ( app(X0,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19475,c_225]) ).
tcf(c_25165,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ( app(X0,sK8(iPr_def_10,sK57)) != sK8(iPr_def_10,sK57) ) ),
inference(superposition,[status(thm)],[c_22067,c_225]) ).
tcf(c_25166,plain,
! [X0: $i] :
( ( sK8(sK56,sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(cons(sK60,sK9(sK56,sK60)))
| ( app(X0,cons(sK60,sK9(sK56,sK60))) != sK56 ) ),
inference(superposition,[status(thm)],[c_22922,c_225]) ).
tcf(c_25167,plain,
! [X0: $i] :
( ( sK8(iPr_def_12,sK57) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_12,sK57)))
| ( app(X0,cons(sK57,sK9(iPr_def_12,sK57))) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_22921,c_225]) ).
tcf(c_25168,plain,
! [X0: $i] :
( ( sK8(iPr_def_11,sK57) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_11,sK57)))
| ( app(X0,cons(sK57,sK9(iPr_def_11,sK57))) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_22920,c_225]) ).
tcf(c_25169,plain,
! [X0: $i] :
( ( sK8(iPr_def_10,sK57) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_10,sK57)))
| ( app(X0,cons(sK57,sK9(iPr_def_10,sK57))) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_22918,c_225]) ).
tcf(c_25171,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,nil) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25133,c_141]) ).
tcf(c_25175,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_12) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25147,c_12842,c_141]) ).
tcf(c_25179,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25146,c_12842,c_141]) ).
tcf(c_25183,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25145,c_18245,c_141]) ).
tcf(c_25187,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,nil) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25144,c_12706,c_141]) ).
tcf(c_25191,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(X0,nil) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25143,c_8907,c_141]) ).
tcf(c_25195,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(X0,nil) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25142,c_8915,c_141]) ).
tcf(c_25199,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(X0,nil) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25141,c_8916,c_141]) ).
tcf(c_25203,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK56) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25140,c_8907,c_141]) ).
tcf(c_25207,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK58) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25139,c_8915,c_141]) ).
tcf(c_25211,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK59) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25138,c_8916,c_141]) ).
tcf(c_25215,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25137,c_18245,c_141]) ).
tcf(c_25219,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,iPr_def_11) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25136,c_12706,c_141]) ).
tcf(c_25223,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(X0,sK59) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25135,c_12842,c_8916]) ).
tcf(c_25227,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(X0,iPr_def_11) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25134,c_12706,c_8915]) ).
tcf(c_25231,plain,
! [X0: $i] :
( ( sK12(iPr_def_10,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,sK59))
| ( app(X0,sK59) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25164,c_8916]) ).
tcf(c_25236,plain,
! [X0: $i] :
( ( sK12(sK56,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ( app(X0,nil) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25163,c_141]) ).
tcf(c_25241,plain,
! [X0: $i] :
( ( sK12(sK58,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ( app(X0,nil) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25162,c_141]) ).
tcf(c_25246,plain,
! [X0: $i] :
( ( sK12(sK59,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ( app(X0,nil) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25161,c_141]) ).
tcf(c_25251,plain,
! [X0: $i] :
( ( sK12(sK56,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ( app(X0,sK56) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25160,c_8907]) ).
tcf(c_25256,plain,
! [X0: $i] :
( ( sK12(sK58,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ( app(X0,sK58) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25159,c_8915]) ).
tcf(c_25261,plain,
! [X0: $i] :
( ( sK12(sK59,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ( app(X0,sK59) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25158,c_8916]) ).
tcf(c_25266,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ( app(X0,sK11(sK56,sK56)) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25157,c_8907]) ).
tcf(c_25271,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ( app(X0,sK11(sK58,sK58)) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25156,c_8915]) ).
tcf(c_25276,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ( app(X0,sK11(sK59,sK59)) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25155,c_8916]) ).
tcf(c_25281,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ( app(X0,sK11(sK56,nil)) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25154,c_141]) ).
tcf(c_25286,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ( app(X0,sK11(sK58,nil)) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25153,c_141]) ).
tcf(c_25291,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ( app(X0,sK11(sK59,nil)) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25152,c_141]) ).
tcf(c_25296,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK58))
| ( app(X0,sK11(iPr_def_12,sK58)) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25151,c_8915]) ).
tcf(c_25301,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ( app(X0,sK8(iPr_def_10,sK57)) != sK8(iPr_def_10,sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25165,c_141]) ).
tcf(c_25306,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ( app(X0,sK8(iPr_def_11,sK57)) != sK8(iPr_def_11,sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25150,c_141]) ).
tcf(c_25311,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ( app(X0,sK8(iPr_def_12,sK57)) != sK8(iPr_def_12,sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25149,c_141]) ).
tcf(c_25336,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(X0)
| ~ ssList(sK8(sK59,sK57))
| ( app(X0,sK8(sK59,sK57)) != sK8(sK59,sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25148,c_141]) ).
tcf(c_25586,plain,
ssItem(hd(iPr_def_12)),
inference(global_subsumption_just,[status(thm)],[c_16256,c_16256,c_17651]) ).
tcf(c_25588,plain,
! [X0: $i,X1: $i] :
( ( cons(hd(iPr_def_12),app(X1,X0)) = app(cons(hd(iPr_def_12),X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_25586,c_154]) ).
tcf(c_25589,plain,
! [X0: $i] :
( ( app(cons(hd(iPr_def_12),nil),X0) = cons(hd(iPr_def_12),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_25586,c_227]) ).
tcf(c_25590,plain,
! [X0: $i] :
( ( tl(cons(hd(iPr_def_12),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_25586,c_152]) ).
tcf(c_25591,plain,
! [X0: $i] :
( ( hd(cons(hd(iPr_def_12),X0)) = hd(iPr_def_12) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_25586,c_150]) ).
tcf(c_25605,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK10(iPr_def_11))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ ssList(app(X0,cons(sK10(iPr_def_11),nil))) ),
inference(superposition,[status(thm)],[c_17013,c_54]) ).
tcf(c_25611,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( sK10(iPr_def_11) = X0 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_17013,c_170]) ).
tcf(c_25618,plain,
( memberP(iPr_def_11,sK10(iPr_def_11))
| ~ ssList(nil)
| ~ ssItem(sK10(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_17013,c_168]) ).
tcf(c_25620,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,cons(sK10(iPr_def_11),X0))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_17013,c_177]) ).
tcf(c_25621,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_17013,c_169]) ).
tcf(c_25622,plain,
! [X0: $i] :
( frontsegP(cons(sK10(iPr_def_11),X0),iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_17013,c_177]) ).
tcf(c_25623,plain,
( memberP(iPr_def_11,sK10(iPr_def_11))
| ~ ssItem(sK10(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25618,c_141]) ).
tcf(c_25626,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25621,c_141]) ).
tcf(c_25631,plain,
! [X0: $i] :
( frontsegP(cons(sK10(iPr_def_11),X0),iPr_def_11)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25622,c_141]) ).
tcf(c_25636,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,cons(sK10(iPr_def_11),X0))
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25620,c_141]) ).
tcf(c_25641,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( sK10(iPr_def_11) = X0 )
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25611,c_141]) ).
tcf(c_25647,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK10(iPr_def_11))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ ssList(app(X0,iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_25605,c_17013]) ).
tcf(c_25648,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK10(iPr_def_11))
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ ssList(app(X0,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25647,c_141]) ).
tcf(c_25659,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,iPr_def_10)))
| ( cons(sK57,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,iPr_def_10))
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_18479,c_212]) ).
tcf(c_25660,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,iPr_def_10)))
| ( cons(sK57,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,iPr_def_10))
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_18479,c_206]) ).
tcf(c_25675,plain,
! [X0: $i] :
( ~ memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ( X0 = sK57 ) ),
inference(global_subsumption_just,[status(thm)],[c_24530,c_171,c_24530]) ).
tcf(c_25676,plain,
! [X0: $i] :
( ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(renaming,[status(thm)],[c_25675]) ).
tcf(c_25698,plain,
( ( sK12(sK59,nil) = sK56 )
| ~ ssList(sK12(sK59,nil))
| ( sK59 != sK56 ) ),
inference(superposition,[status(thm)],[c_18310,c_25191]) ).
tcf(c_25699,plain,
( ( sK12(sK58,nil) = sK56 )
| ~ ssList(sK12(sK58,nil))
| ( sK58 != sK56 ) ),
inference(superposition,[status(thm)],[c_18309,c_25191]) ).
tcf(c_25700,plain,
( ( sK12(sK56,nil) = sK56 )
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_18308,c_25191]) ).
tcf(c_25722,plain,
( ( sK12(sK59,nil) = sK58 )
| ~ ssList(sK12(sK59,nil))
| ( sK58 != sK59 ) ),
inference(superposition,[status(thm)],[c_18310,c_25195]) ).
tcf(c_25723,plain,
( ( sK12(sK58,nil) = sK58 )
| ~ ssList(sK12(sK58,nil)) ),
inference(superposition,[status(thm)],[c_18309,c_25195]) ).
tcf(c_25724,plain,
( ( sK12(sK56,nil) = sK58 )
| ~ ssList(sK12(sK56,nil))
| ( sK58 != sK56 ) ),
inference(superposition,[status(thm)],[c_18308,c_25195]) ).
tcf(c_25746,plain,
( ( sK12(sK59,nil) = sK59 )
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_18310,c_25199]) ).
tcf(c_25747,plain,
( ( sK12(sK58,nil) = sK59 )
| ~ ssList(sK12(sK58,nil))
| ( sK58 != sK59 ) ),
inference(superposition,[status(thm)],[c_18309,c_25199]) ).
tcf(c_25748,plain,
( ( sK12(sK56,nil) = sK59 )
| ~ ssList(sK12(sK56,nil))
| ( sK59 != sK56 ) ),
inference(superposition,[status(thm)],[c_18308,c_25199]) ).
tcf(c_25764,plain,
( ( sK12(sK56,sK56) = nil )
| ~ ssList(sK12(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_18299,c_25203]) ).
tcf(c_25774,plain,
( ( sK12(sK58,sK58) = nil )
| ~ ssList(sK12(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_18300,c_25207]) ).
tcf(c_25783,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( sK59 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18265,c_25211]) ).
tcf(c_25785,plain,
( ( sK12(sK59,sK59) = nil )
| ~ ssList(sK12(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_18301,c_25211]) ).
tcf(c_25789,plain,
sK59 != iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_25783,c_17651,c_12842]) ).
tcf(c_25790,plain,
~ rearsegP(sK59,iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_19476,c_25789]) ).
tcf(c_25800,plain,
( ( sK12(iPr_def_10,sK59) = iPr_def_12 )
| ~ ssList(sK12(iPr_def_10,sK59)) ),
inference(superposition,[status(thm)],[c_19475,c_25223]) ).
tcf(c_25850,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != nil ) ),
inference(superposition,[status(thm)],[c_373,c_226]) ).
tcf(c_25851,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X0)
| ( app(sK58,X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8904,c_226]) ).
tcf(c_25852,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18265,c_226]) ).
tcf(c_25853,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12739,c_226]) ).
tcf(c_25854,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18243,c_226]) ).
tcf(c_25855,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_12532,c_226]) ).
tcf(c_25856,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_12533,c_226]) ).
tcf(c_25857,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_12534,c_226]) ).
tcf(c_25858,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK59,X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_12632,c_226]) ).
tcf(c_25859,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK58,X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_12633,c_226]) ).
tcf(c_25860,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK56,X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_12634,c_226]) ).
tcf(c_25861,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12738,c_226]) ).
tcf(c_25862,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18244,c_226]) ).
tcf(c_25863,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_12869,c_226]) ).
tcf(c_25864,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_12870,c_226]) ).
tcf(c_25865,plain,
! [X0: $i] :
( ( sK8(sK59,sK57) = X0 )
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(sK59,sK57))
| ( app(nil,X0) != sK8(sK59,sK57) ) ),
inference(superposition,[status(thm)],[c_13379,c_226]) ).
tcf(c_25866,plain,
! [X0: $i] :
( ( sK8(iPr_def_12,sK57) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ( app(nil,X0) != sK8(iPr_def_12,sK57) ) ),
inference(superposition,[status(thm)],[c_13223,c_226]) ).
tcf(c_25867,plain,
! [X0: $i] :
( ( sK8(iPr_def_11,sK57) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ( app(nil,X0) != sK8(iPr_def_11,sK57) ) ),
inference(superposition,[status(thm)],[c_13222,c_226]) ).
tcf(c_25868,plain,
! [X0: $i] :
( ( sK11(iPr_def_12,sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK58))
| ( app(sK58,X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_17820,c_226]) ).
tcf(c_25869,plain,
! [X0: $i] :
( ( sK11(sK59,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ( app(nil,X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_17817,c_226]) ).
tcf(c_25870,plain,
! [X0: $i] :
( ( sK11(sK58,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ( app(nil,X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_17816,c_226]) ).
tcf(c_25871,plain,
! [X0: $i] :
( ( sK11(sK56,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ( app(nil,X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_17815,c_226]) ).
tcf(c_25872,plain,
! [X0: $i] :
( ( sK11(sK59,sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ( app(sK59,X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_17809,c_226]) ).
tcf(c_25873,plain,
! [X0: $i] :
( ( sK11(sK58,sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ( app(sK58,X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_17808,c_226]) ).
tcf(c_25874,plain,
! [X0: $i] :
( ( sK11(sK56,sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ( app(sK56,X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_17807,c_226]) ).
tcf(c_25875,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ( app(sK12(sK59,sK59),X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_18301,c_226]) ).
tcf(c_25876,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ( app(sK12(sK58,sK58),X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_18300,c_226]) ).
tcf(c_25877,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ( app(sK12(sK56,sK56),X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_18299,c_226]) ).
tcf(c_25878,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ( app(sK12(sK59,nil),X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_18310,c_226]) ).
tcf(c_25879,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ( app(sK12(sK58,nil),X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_18309,c_226]) ).
tcf(c_25880,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ( app(sK12(sK56,nil),X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_18308,c_226]) ).
tcf(c_25881,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,sK59))
| ( app(sK12(iPr_def_10,sK59),X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19475,c_226]) ).
tcf(c_25882,plain,
! [X0: $i] :
( ( sK8(iPr_def_10,sK57) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ( app(nil,X0) != sK8(iPr_def_10,sK57) ) ),
inference(superposition,[status(thm)],[c_22067,c_226]) ).
tcf(c_25883,plain,
! [X0: $i] :
( ( cons(sK60,sK9(sK56,sK60)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(cons(sK60,sK9(sK56,sK60)))
| ( app(sK8(sK56,sK60),X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_22922,c_226]) ).
tcf(c_25884,plain,
! [X0: $i] :
( ( cons(sK57,sK9(iPr_def_12,sK57)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_12,sK57)))
| ( app(sK8(iPr_def_12,sK57),X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_22921,c_226]) ).
tcf(c_25885,plain,
! [X0: $i] :
( ( cons(sK57,sK9(iPr_def_11,sK57)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_11,sK57)))
| ( app(sK8(iPr_def_11,sK57),X0) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_22920,c_226]) ).
tcf(c_25886,plain,
! [X0: $i] :
( ( cons(sK57,sK9(iPr_def_10,sK57)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_10,sK57)))
| ( app(sK8(iPr_def_10,sK57),X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_22918,c_226]) ).
tcf(c_25888,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(nil,X0) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25850,c_141]) ).
tcf(c_25892,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25864,c_12842,c_141]) ).
tcf(c_25896,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25863,c_12842,c_141]) ).
tcf(c_25900,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25862,c_18245,c_141]) ).
tcf(c_25904,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25861,c_12706,c_141]) ).
tcf(c_25908,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK56,X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25860,c_8907,c_141]) ).
tcf(c_25912,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK58,X0) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25859,c_8915,c_141]) ).
tcf(c_25916,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK59,X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25858,c_8916,c_141]) ).
tcf(c_25920,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(nil,X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25857,c_8907,c_141]) ).
tcf(c_25924,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(nil,X0) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25856,c_8915,c_141]) ).
tcf(c_25928,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(nil,X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25855,c_8916,c_141]) ).
tcf(c_25932,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25854,c_18245,c_141]) ).
tcf(c_25936,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(nil,X0) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25853,c_12706,c_141]) ).
tcf(c_25940,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25852,c_12842,c_8916]) ).
tcf(c_25944,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(sK58,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25851,c_12706,c_8915]) ).
tcf(c_25948,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,sK59))
| ( app(sK12(iPr_def_10,sK59),X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25881,c_8916]) ).
tcf(c_25953,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ( app(sK12(sK56,nil),X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25880,c_141]) ).
tcf(c_25958,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ( app(sK12(sK58,nil),X0) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25879,c_141]) ).
tcf(c_25963,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ( app(sK12(sK59,nil),X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25878,c_141]) ).
tcf(c_25968,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ( app(sK12(sK56,sK56),X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25877,c_8907]) ).
tcf(c_25973,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ( app(sK12(sK58,sK58),X0) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25876,c_8915]) ).
tcf(c_25978,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ( app(sK12(sK59,sK59),X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25875,c_8916]) ).
tcf(c_25983,plain,
! [X0: $i] :
( ( sK11(sK56,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ( app(sK56,X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25874,c_8907]) ).
tcf(c_25988,plain,
! [X0: $i] :
( ( sK11(sK58,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ( app(sK58,X0) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25873,c_8915]) ).
tcf(c_25993,plain,
! [X0: $i] :
( ( sK11(sK59,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ( app(sK59,X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25872,c_8916]) ).
tcf(c_25998,plain,
! [X0: $i] :
( ( sK11(sK56,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ( app(nil,X0) != sK56 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25871,c_141]) ).
tcf(c_26003,plain,
! [X0: $i] :
( ( sK11(sK58,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ( app(nil,X0) != sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25870,c_141]) ).
tcf(c_26008,plain,
! [X0: $i] :
( ( sK11(sK59,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ( app(nil,X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25869,c_141]) ).
tcf(c_26013,plain,
! [X0: $i] :
( ( sK11(iPr_def_12,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK58))
| ( app(sK58,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25868,c_8915]) ).
tcf(c_26018,plain,
! [X0: $i] :
( ( sK8(iPr_def_10,sK57) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ( app(nil,X0) != sK8(iPr_def_10,sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25882,c_141]) ).
tcf(c_26023,plain,
! [X0: $i] :
( ( sK8(iPr_def_11,sK57) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ( app(nil,X0) != sK8(iPr_def_11,sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25867,c_141]) ).
tcf(c_26028,plain,
! [X0: $i] :
( ( sK8(iPr_def_12,sK57) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ( app(nil,X0) != sK8(iPr_def_12,sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25866,c_141]) ).
tcf(c_26053,plain,
! [X0: $i] :
( ( sK8(sK59,sK57) = X0 )
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(X0)
| ~ ssList(sK8(sK59,sK57))
| ( app(nil,X0) != sK8(sK59,sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25865,c_141]) ).
tcf(c_26200,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,nil),X0)) ),
inference(superposition,[status(thm)],[c_373,c_67]) ).
tcf(c_26201,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(app(sK58,iPr_def_11),X0)) ),
inference(superposition,[status(thm)],[c_8904,c_67]) ).
tcf(c_26202,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK59)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_12,sK59),X0)) ),
inference(superposition,[status(thm)],[c_18265,c_67]) ).
tcf(c_26203,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,iPr_def_11),X0)) ),
inference(superposition,[status(thm)],[c_12739,c_67]) ).
tcf(c_26204,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,iPr_def_10),X0)) ),
inference(superposition,[status(thm)],[c_18243,c_67]) ).
tcf(c_26205,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK59)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sK59),X0)) ),
inference(superposition,[status(thm)],[c_12532,c_67]) ).
tcf(c_26206,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK58)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sK58),X0)) ),
inference(superposition,[status(thm)],[c_12533,c_67]) ).
tcf(c_26207,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK56)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sK56),X0)) ),
inference(superposition,[status(thm)],[c_12534,c_67]) ).
tcf(c_26208,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),nil)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(sK59,nil),X0)) ),
inference(superposition,[status(thm)],[c_12632,c_67]) ).
tcf(c_26209,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),nil)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(sK58,nil),X0)) ),
inference(superposition,[status(thm)],[c_12633,c_67]) ).
tcf(c_26210,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),nil)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(sK56,nil),X0)) ),
inference(superposition,[status(thm)],[c_12634,c_67]) ).
tcf(c_26211,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),nil)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_11,nil),X0)) ),
inference(superposition,[status(thm)],[c_12738,c_67]) ).
tcf(c_26212,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),nil)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_10,nil),X0)) ),
inference(superposition,[status(thm)],[c_18244,c_67]) ).
tcf(c_26213,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_12869,c_67]) ).
tcf(c_26214,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_12870,c_67]) ).
tcf(c_26215,plain,
! [X0: $i] :
( segmentP(app(sK8(sK59,sK57),X0),sK8(sK59,sK57))
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(sK59,sK57))
| ~ ssList(app(app(nil,sK8(sK59,sK57)),X0)) ),
inference(superposition,[status(thm)],[c_13379,c_67]) ).
tcf(c_26216,plain,
! [X0: $i] :
( segmentP(app(sK8(iPr_def_12,sK57),X0),sK8(iPr_def_12,sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ ssList(app(app(nil,sK8(iPr_def_12,sK57)),X0)) ),
inference(superposition,[status(thm)],[c_13223,c_67]) ).
tcf(c_26217,plain,
! [X0: $i] :
( segmentP(app(sK8(iPr_def_11,sK57),X0),sK8(iPr_def_11,sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ ssList(app(app(nil,sK8(iPr_def_11,sK57)),X0)) ),
inference(superposition,[status(thm)],[c_13222,c_67]) ).
tcf(c_26218,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK11(iPr_def_12,sK58))
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK58))
| ~ ssList(app(app(sK58,sK11(iPr_def_12,sK58)),X0)) ),
inference(superposition,[status(thm)],[c_17820,c_67]) ).
tcf(c_26219,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK11(sK59,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ ssList(app(app(nil,sK11(sK59,nil)),X0)) ),
inference(superposition,[status(thm)],[c_17817,c_67]) ).
tcf(c_26220,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK11(sK58,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ~ ssList(app(app(nil,sK11(sK58,nil)),X0)) ),
inference(superposition,[status(thm)],[c_17816,c_67]) ).
tcf(c_26221,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK11(sK56,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ ssList(app(app(nil,sK11(sK56,nil)),X0)) ),
inference(superposition,[status(thm)],[c_17815,c_67]) ).
tcf(c_26222,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK11(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ ssList(app(app(sK59,sK11(sK59,sK59)),X0)) ),
inference(superposition,[status(thm)],[c_17809,c_67]) ).
tcf(c_26223,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK11(sK58,sK58))
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ ssList(app(app(sK58,sK11(sK58,sK58)),X0)) ),
inference(superposition,[status(thm)],[c_17808,c_67]) ).
tcf(c_26224,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK11(sK56,sK56))
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ ssList(app(app(sK56,sK11(sK56,sK56)),X0)) ),
inference(superposition,[status(thm)],[c_17807,c_67]) ).
tcf(c_26225,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ ssList(app(app(sK12(sK59,sK59),sK59),X0)) ),
inference(superposition,[status(thm)],[c_18301,c_67]) ).
tcf(c_26226,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ ssList(app(app(sK12(sK58,sK58),sK58),X0)) ),
inference(superposition,[status(thm)],[c_18300,c_67]) ).
tcf(c_26227,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ ssList(app(app(sK12(sK56,sK56),sK56),X0)) ),
inference(superposition,[status(thm)],[c_18299,c_67]) ).
tcf(c_26228,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ ssList(app(app(sK12(sK59,nil),nil),X0)) ),
inference(superposition,[status(thm)],[c_18310,c_67]) ).
tcf(c_26229,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ ssList(app(app(sK12(sK58,nil),nil),X0)) ),
inference(superposition,[status(thm)],[c_18309,c_67]) ).
tcf(c_26230,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ ssList(app(app(sK12(sK56,nil),nil),X0)) ),
inference(superposition,[status(thm)],[c_18308,c_67]) ).
tcf(c_26231,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,sK59))
| ~ ssList(app(app(sK12(iPr_def_10,sK59),sK59),X0)) ),
inference(superposition,[status(thm)],[c_19475,c_67]) ).
tcf(c_26232,plain,
! [X0: $i] :
( segmentP(app(sK8(iPr_def_10,sK57),X0),sK8(iPr_def_10,sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ ssList(app(app(nil,sK8(iPr_def_10,sK57)),X0)) ),
inference(superposition,[status(thm)],[c_22067,c_67]) ).
tcf(c_26233,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),cons(sK60,sK9(sK56,sK60)))
| ~ ssList(X0)
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(cons(sK60,sK9(sK56,sK60)))
| ~ ssList(app(app(sK8(sK56,sK60),cons(sK60,sK9(sK56,sK60))),X0)) ),
inference(superposition,[status(thm)],[c_22922,c_67]) ).
tcf(c_26234,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),cons(sK57,sK9(iPr_def_12,sK57)))
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_12,sK57)))
| ~ ssList(app(app(sK8(iPr_def_12,sK57),cons(sK57,sK9(iPr_def_12,sK57))),X0)) ),
inference(superposition,[status(thm)],[c_22921,c_67]) ).
tcf(c_26235,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),cons(sK57,sK9(iPr_def_11,sK57)))
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_11,sK57)))
| ~ ssList(app(app(sK8(iPr_def_11,sK57),cons(sK57,sK9(iPr_def_11,sK57))),X0)) ),
inference(superposition,[status(thm)],[c_22920,c_67]) ).
tcf(c_26236,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),cons(sK57,sK9(iPr_def_10,sK57)))
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_10,sK57)))
| ~ ssList(app(app(sK8(iPr_def_10,sK57),cons(sK57,sK9(iPr_def_10,sK57))),X0)) ),
inference(superposition,[status(thm)],[c_22918,c_67]) ).
tcf(c_26237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK13(app(app(X0,X1),X2),X1),X1),sK14(app(app(X0,X1),X2),X1)) = app(app(X0,X1),X2) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_67,c_70]) ).
tcf(c_26238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(app(X0,X1),X2),X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X3)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_67,c_190]) ).
tcf(c_26239,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_67,c_191]) ).
tcf(c_26240,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(nil,X0)) ),
inference(light_normalisation,[status(thm)],[c_26200,c_373]) ).
tcf(c_26241,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(nil,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26240,c_141]) ).
tcf(c_26245,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_26214,c_12870]) ).
tcf(c_26246,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_26245,c_12842,c_141]) ).
tcf(c_26250,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_26213,c_12869]) ).
tcf(c_26251,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_26250,c_12842,c_141]) ).
tcf(c_26255,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),nil)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(light_normalisation,[status(thm)],[c_26212,c_18244]) ).
tcf(c_26256,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26255,c_18245,c_141]) ).
tcf(c_26260,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),nil)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,X0)) ),
inference(light_normalisation,[status(thm)],[c_26211,c_12738]) ).
tcf(c_26261,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26260,c_12706,c_141]) ).
tcf(c_26265,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),nil)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(light_normalisation,[status(thm)],[c_26210,c_12634]) ).
tcf(c_26266,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26265,c_8907,c_141]) ).
tcf(c_26270,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),nil)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK58,X0)) ),
inference(light_normalisation,[status(thm)],[c_26209,c_12633]) ).
tcf(c_26271,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK58,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26270,c_8915,c_141]) ).
tcf(c_26275,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),nil)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(light_normalisation,[status(thm)],[c_26208,c_12632]) ).
tcf(c_26276,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26275,c_8916,c_141]) ).
tcf(c_26280,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK56)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(light_normalisation,[status(thm)],[c_26207,c_12534]) ).
tcf(c_26281,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26280,c_8907,c_141]) ).
tcf(c_26285,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK58)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK58,X0)) ),
inference(light_normalisation,[status(thm)],[c_26206,c_12533]) ).
tcf(c_26286,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26285,c_8915,c_141]) ).
tcf(c_26290,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK59)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(light_normalisation,[status(thm)],[c_26205,c_12532]) ).
tcf(c_26291,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26290,c_8916,c_141]) ).
tcf(c_26295,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(light_normalisation,[status(thm)],[c_26204,c_18243]) ).
tcf(c_26296,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26295,c_18245,c_141]) ).
tcf(c_26300,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,X0)) ),
inference(light_normalisation,[status(thm)],[c_26203,c_12739]) ).
tcf(c_26301,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_11)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26300,c_12706,c_141]) ).
tcf(c_26305,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK59)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(light_normalisation,[status(thm)],[c_26202,c_18265]) ).
tcf(c_26306,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26305,c_12842,c_8916]) ).
tcf(c_26310,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(light_normalisation,[status(thm)],[c_26201,c_8904]) ).
tcf(c_26311,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_11)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26310,c_12706,c_8915]) ).
tcf(c_26315,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,sK59))
| ~ ssList(app(iPr_def_10,X0)) ),
inference(light_normalisation,[status(thm)],[c_26231,c_19475]) ).
tcf(c_26316,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK59)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,sK59))
| ~ ssList(app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26315,c_8916]) ).
tcf(c_26321,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ ssList(app(sK56,X0)) ),
inference(light_normalisation,[status(thm)],[c_26230,c_18308]) ).
tcf(c_26322,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ ssList(app(sK56,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26321,c_141]) ).
tcf(c_26327,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ ssList(app(sK58,X0)) ),
inference(light_normalisation,[status(thm)],[c_26229,c_18309]) ).
tcf(c_26328,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ ssList(app(sK58,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26327,c_141]) ).
tcf(c_26333,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ ssList(app(sK59,X0)) ),
inference(light_normalisation,[status(thm)],[c_26228,c_18310]) ).
tcf(c_26334,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),nil)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ ssList(app(sK59,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26333,c_141]) ).
tcf(c_26339,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ ssList(app(sK56,X0)) ),
inference(light_normalisation,[status(thm)],[c_26227,c_18299]) ).
tcf(c_26340,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK56)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ ssList(app(sK56,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26339,c_8907]) ).
tcf(c_26345,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ ssList(app(sK58,X0)) ),
inference(light_normalisation,[status(thm)],[c_26226,c_18300]) ).
tcf(c_26346,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK58)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ ssList(app(sK58,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26345,c_8915]) ).
tcf(c_26351,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ ssList(app(sK59,X0)) ),
inference(light_normalisation,[status(thm)],[c_26225,c_18301]) ).
tcf(c_26352,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK59)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ ssList(app(sK59,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26351,c_8916]) ).
tcf(c_26357,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK11(sK56,sK56))
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ ssList(app(sK56,X0)) ),
inference(light_normalisation,[status(thm)],[c_26224,c_17807]) ).
tcf(c_26358,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK11(sK56,sK56))
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ ssList(app(sK56,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26357,c_8907]) ).
tcf(c_26363,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK11(sK58,sK58))
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ ssList(app(sK58,X0)) ),
inference(light_normalisation,[status(thm)],[c_26223,c_17808]) ).
tcf(c_26364,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK11(sK58,sK58))
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ ssList(app(sK58,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26363,c_8915]) ).
tcf(c_26369,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK11(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ ssList(app(sK59,X0)) ),
inference(light_normalisation,[status(thm)],[c_26222,c_17809]) ).
tcf(c_26370,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK11(sK59,sK59))
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ ssList(app(sK59,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26369,c_8916]) ).
tcf(c_26375,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK11(sK56,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ ssList(app(sK56,X0)) ),
inference(light_normalisation,[status(thm)],[c_26221,c_17815]) ).
tcf(c_26376,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK11(sK56,nil))
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ ssList(app(sK56,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26375,c_141]) ).
tcf(c_26381,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK11(sK58,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ~ ssList(app(sK58,X0)) ),
inference(light_normalisation,[status(thm)],[c_26220,c_17816]) ).
tcf(c_26382,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK11(sK58,nil))
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ~ ssList(app(sK58,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26381,c_141]) ).
tcf(c_26387,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK11(sK59,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ ssList(app(sK59,X0)) ),
inference(light_normalisation,[status(thm)],[c_26219,c_17817]) ).
tcf(c_26388,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK11(sK59,nil))
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ ssList(app(sK59,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26387,c_141]) ).
tcf(c_26393,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK11(iPr_def_12,sK58))
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK58))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(light_normalisation,[status(thm)],[c_26218,c_17820]) ).
tcf(c_26394,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK11(iPr_def_12,sK58))
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK58))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26393,c_8915]) ).
tcf(c_26399,plain,
! [X0: $i] :
( segmentP(app(sK8(iPr_def_10,sK57),X0),sK8(iPr_def_10,sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ ssList(app(sK8(iPr_def_10,sK57),X0)) ),
inference(light_normalisation,[status(thm)],[c_26232,c_22067]) ).
tcf(c_26400,plain,
! [X0: $i] :
( segmentP(app(sK8(iPr_def_10,sK57),X0),sK8(iPr_def_10,sK57))
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ ssList(app(sK8(iPr_def_10,sK57),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26399,c_141]) ).
tcf(c_26405,plain,
! [X0: $i] :
( segmentP(app(sK8(iPr_def_11,sK57),X0),sK8(iPr_def_11,sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ ssList(app(sK8(iPr_def_11,sK57),X0)) ),
inference(light_normalisation,[status(thm)],[c_26217,c_13222]) ).
tcf(c_26406,plain,
! [X0: $i] :
( segmentP(app(sK8(iPr_def_11,sK57),X0),sK8(iPr_def_11,sK57))
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ ssList(app(sK8(iPr_def_11,sK57),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26405,c_141]) ).
tcf(c_26411,plain,
! [X0: $i] :
( segmentP(app(sK8(iPr_def_12,sK57),X0),sK8(iPr_def_12,sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ ssList(app(sK8(iPr_def_12,sK57),X0)) ),
inference(light_normalisation,[status(thm)],[c_26216,c_13223]) ).
tcf(c_26412,plain,
! [X0: $i] :
( segmentP(app(sK8(iPr_def_12,sK57),X0),sK8(iPr_def_12,sK57))
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ ssList(app(sK8(iPr_def_12,sK57),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26411,c_141]) ).
tcf(c_26430,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),cons(sK57,sK9(iPr_def_10,sK57)))
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ ssList(app(iPr_def_10,X0))
| ~ ssList(cons(sK57,sK9(iPr_def_10,sK57))) ),
inference(light_normalisation,[status(thm)],[c_26236,c_22918]) ).
tcf(c_26436,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),cons(sK57,sK9(iPr_def_11,sK57)))
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ ssList(app(iPr_def_11,X0))
| ~ ssList(cons(sK57,sK9(iPr_def_11,sK57))) ),
inference(light_normalisation,[status(thm)],[c_26235,c_22920]) ).
tcf(c_26442,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),cons(sK57,sK9(iPr_def_12,sK57)))
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ ssList(app(iPr_def_12,X0))
| ~ ssList(cons(sK57,sK9(iPr_def_12,sK57))) ),
inference(light_normalisation,[status(thm)],[c_26234,c_22921]) ).
tcf(c_26448,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),cons(sK60,sK9(sK56,sK60)))
| ~ ssList(X0)
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(app(sK56,X0))
| ~ ssList(cons(sK60,sK9(sK56,sK60))) ),
inference(light_normalisation,[status(thm)],[c_26233,c_22922]) ).
tcf(c_26454,plain,
! [X0: $i] :
( segmentP(app(sK8(sK59,sK57),X0),sK8(sK59,sK57))
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(X0)
| ~ ssList(sK8(sK59,sK57))
| ~ ssList(app(app(nil,sK8(sK59,sK57)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26215,c_141]) ).
tcf(c_26618,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_175,c_179]) ).
tcf(c_26620,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_8903,c_179]) ).
tcf(c_26621,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_8902,c_179]) ).
tcf(c_26622,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK49(sK59),X1)
| ( nil = sK59 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ frontsegP(sK59,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_15483,c_179]) ).
tcf(c_26623,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK49(sK58),X1)
| ( nil = sK58 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ frontsegP(sK58,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_15484,c_179]) ).
tcf(c_26624,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK49(sK56),X1)
| ( nil = sK56 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ frontsegP(sK56,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_15485,c_179]) ).
tcf(c_26625,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(sK59),X1)
| ( nil = sK59 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ frontsegP(sK59,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_16297,c_179]) ).
tcf(c_26626,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(sK58),X1)
| ( nil = sK58 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ frontsegP(sK58,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_16298,c_179]) ).
tcf(c_26627,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(sK56),X1)
| ( nil = sK56 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ frontsegP(sK56,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_16299,c_179]) ).
tcf(c_26628,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_17013,c_179]) ).
tcf(c_26629,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,nil)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_11) ),
inference(superposition,[status(thm)],[c_8903,c_179]) ).
tcf(c_26630,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,nil)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_10) ),
inference(superposition,[status(thm)],[c_8902,c_179]) ).
tcf(c_26631,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,sK49(sK59))
| ( nil = sK59 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ frontsegP(cons(X0,X1),sK59) ),
inference(superposition,[status(thm)],[c_15483,c_179]) ).
tcf(c_26632,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,sK49(sK58))
| ( nil = sK58 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ frontsegP(cons(X0,X1),sK58) ),
inference(superposition,[status(thm)],[c_15484,c_179]) ).
tcf(c_26633,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,sK49(sK56))
| ( nil = sK56 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ frontsegP(cons(X0,X1),sK56) ),
inference(superposition,[status(thm)],[c_15485,c_179]) ).
tcf(c_26634,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(sK59))
| ( nil = sK59 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ frontsegP(cons(X0,X1),sK59) ),
inference(superposition,[status(thm)],[c_16297,c_179]) ).
tcf(c_26635,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(sK58))
| ( nil = sK58 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ frontsegP(cons(X0,X1),sK58) ),
inference(superposition,[status(thm)],[c_16298,c_179]) ).
tcf(c_26636,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(sK56))
| ( nil = sK56 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ frontsegP(cons(X0,X1),sK56) ),
inference(superposition,[status(thm)],[c_16299,c_179]) ).
tcf(c_26637,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ frontsegP(cons(X0,X1),iPr_def_11) ),
inference(superposition,[status(thm)],[c_17013,c_179]) ).
tcf(c_26642,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26630,c_141,c_18252]) ).
tcf(c_26647,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26629,c_141,c_8914]) ).
tcf(c_26652,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26621,c_141,c_18252]) ).
tcf(c_26657,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26620,c_141,c_8914]) ).
tcf(c_26662,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ frontsegP(cons(X0,X1),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26637,c_141]) ).
tcf(c_26668,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26628,c_141]) ).
tcf(c_26782,plain,
! [X0: $i,X1: $i] :
( segmentP(app(nil,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_373,c_193]) ).
tcf(c_26783,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8904,c_193]) ).
tcf(c_26784,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_18265,c_193]) ).
tcf(c_26785,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X1),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_12739,c_193]) ).
tcf(c_26786,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_18243,c_193]) ).
tcf(c_26787,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_12532,c_193]) ).
tcf(c_26788,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X1),X0)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_12533,c_193]) ).
tcf(c_26789,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_12534,c_193]) ).
tcf(c_26790,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_12632,c_193]) ).
tcf(c_26791,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X1),X0)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_12633,c_193]) ).
tcf(c_26792,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_12634,c_193]) ).
tcf(c_26793,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X1),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_12738,c_193]) ).
tcf(c_26794,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_18244,c_193]) ).
tcf(c_26795,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_12869,c_193]) ).
tcf(c_26796,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_12870,c_193]) ).
tcf(c_26797,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(sK59,sK57),X1),X0)
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(sK59,sK57))
| ~ segmentP(sK8(sK59,sK57),X0) ),
inference(superposition,[status(thm)],[c_13379,c_193]) ).
tcf(c_26798,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(iPr_def_12,sK57),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ segmentP(sK8(iPr_def_12,sK57),X0) ),
inference(superposition,[status(thm)],[c_13223,c_193]) ).
tcf(c_26799,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(iPr_def_11,sK57),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ segmentP(sK8(iPr_def_11,sK57),X0) ),
inference(superposition,[status(thm)],[c_13222,c_193]) ).
tcf(c_26800,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK58))
| ~ segmentP(sK11(iPr_def_12,sK58),X0) ),
inference(superposition,[status(thm)],[c_17820,c_193]) ).
tcf(c_26801,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ segmentP(sK11(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_17817,c_193]) ).
tcf(c_26802,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ~ segmentP(sK11(sK58,nil),X0) ),
inference(superposition,[status(thm)],[c_17816,c_193]) ).
tcf(c_26803,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ segmentP(sK11(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_17815,c_193]) ).
tcf(c_26804,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ segmentP(sK11(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_17809,c_193]) ).
tcf(c_26805,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ segmentP(sK11(sK58,sK58),X0) ),
inference(superposition,[status(thm)],[c_17808,c_193]) ).
tcf(c_26806,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ segmentP(sK11(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_17807,c_193]) ).
tcf(c_26807,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK12(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_18301,c_193]) ).
tcf(c_26808,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(sK12(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_18300,c_193]) ).
tcf(c_26809,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK12(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_18299,c_193]) ).
tcf(c_26810,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_18310,c_193]) ).
tcf(c_26811,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK12(sK58,nil)) ),
inference(superposition,[status(thm)],[c_18309,c_193]) ).
tcf(c_26812,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_18308,c_193]) ).
tcf(c_26813,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK12(iPr_def_10,sK59)) ),
inference(superposition,[status(thm)],[c_19475,c_193]) ).
tcf(c_26814,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(iPr_def_10,sK57),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ segmentP(sK8(iPr_def_10,sK57),X0) ),
inference(superposition,[status(thm)],[c_22067,c_193]) ).
tcf(c_26815,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(cons(sK60,sK9(sK56,sK60)))
| ~ segmentP(cons(sK60,sK9(sK56,sK60)),X0) ),
inference(superposition,[status(thm)],[c_22922,c_193]) ).
tcf(c_26816,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_12,sK57)))
| ~ segmentP(cons(sK57,sK9(iPr_def_12,sK57)),X0) ),
inference(superposition,[status(thm)],[c_22921,c_193]) ).
tcf(c_26817,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_11,sK57)))
| ~ segmentP(cons(sK57,sK9(iPr_def_11,sK57)),X0) ),
inference(superposition,[status(thm)],[c_22920,c_193]) ).
tcf(c_26818,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ ssList(cons(sK57,sK9(iPr_def_10,sK57)))
| ~ segmentP(cons(sK57,sK9(iPr_def_10,sK57)),X0) ),
inference(superposition,[status(thm)],[c_22918,c_193]) ).
tcf(c_26819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(sK13(app(app(X0,X1),X2),X3),X3),sK14(app(app(X0,X1),X2),X3)) = 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_193,c_70]) ).
tcf(c_26820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( segmentP(app(app(X0,X1),X2),X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X3,X4)
| ~ segmentP(X1,X3)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_193,c_190]) ).
tcf(c_26821,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_193,c_191]) ).
tcf(c_26822,plain,
! [X0: $i,X1: $i] :
( segmentP(app(nil,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26782,c_141]) ).
tcf(c_26827,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_26796,c_12842,c_141]) ).
tcf(c_26832,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_26795,c_12842,c_141]) ).
tcf(c_26837,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26794,c_18245,c_141]) ).
tcf(c_26842,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26793,c_12706,c_141]) ).
tcf(c_26847,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26792,c_8907,c_141]) ).
tcf(c_26852,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26791,c_8915,c_141]) ).
tcf(c_26857,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26790,c_8916,c_141]) ).
tcf(c_26862,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26789,c_8907,c_141]) ).
tcf(c_26867,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26788,c_8915,c_141]) ).
tcf(c_26872,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26787,c_8916,c_141]) ).
tcf(c_26877,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26786,c_18245,c_141]) ).
tcf(c_26882,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26785,c_12706,c_141]) ).
tcf(c_26887,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26784,c_12842,c_8916]) ).
tcf(c_26892,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26783,c_12706,c_8915]) ).
tcf(c_26904,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ segmentP(sK11(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26806,c_8907]) ).
tcf(c_26910,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ segmentP(sK11(sK58,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26805,c_8915]) ).
tcf(c_26916,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ segmentP(sK11(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26804,c_8916]) ).
tcf(c_26922,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ segmentP(sK11(sK56,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26803,c_141]) ).
tcf(c_26928,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ~ segmentP(sK11(sK58,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26802,c_141]) ).
tcf(c_26934,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ segmentP(sK11(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26801,c_141]) ).
tcf(c_26940,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,sK58))
| ~ segmentP(sK11(iPr_def_12,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26800,c_8915]) ).
tcf(c_26946,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(iPr_def_10,sK57),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ segmentP(sK8(iPr_def_10,sK57),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26814,c_141]) ).
tcf(c_26952,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(iPr_def_11,sK57),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ segmentP(sK8(iPr_def_11,sK57),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26799,c_141]) ).
tcf(c_26958,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(iPr_def_12,sK57),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ segmentP(sK8(iPr_def_12,sK57),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26798,c_141]) ).
tcf(c_26997,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(sK59,sK57),X1),X0)
| ( app(nil,sK8(sK58,sK57)) = sK8(sK58,sK57) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(sK59,sK57))
| ~ segmentP(sK8(sK59,sK57),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26797,c_141]) ).
tcf(c_27219,plain,
ssList(tl(iPr_def_10)),
inference(global_subsumption_just,[status(thm)],[c_18615,c_13772,c_18252,c_18615]) ).
tcf(c_27221,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),tl(iPr_def_10)) = app(X0,app(X1,tl(iPr_def_10))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_27219,c_228]) ).
tcf(c_27222,plain,
( duplicatefreeP(tl(iPr_def_10))
| ( app(app(sK42(tl(iPr_def_10)),cons(sK40(tl(iPr_def_10)),sK43(tl(iPr_def_10)))),cons(sK41(tl(iPr_def_10)),sK44(tl(iPr_def_10)))) = tl(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_27219,c_124]) ).
tcf(c_27223,plain,
( strictorderedP(tl(iPr_def_10))
| ( app(app(sK37(tl(iPr_def_10)),cons(sK35(tl(iPr_def_10)),sK38(tl(iPr_def_10)))),cons(sK36(tl(iPr_def_10)),sK39(tl(iPr_def_10)))) = tl(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_27219,c_116]) ).
tcf(c_27224,plain,
( totalorderedP(tl(iPr_def_10))
| ( app(app(sK32(tl(iPr_def_10)),cons(sK30(tl(iPr_def_10)),sK33(tl(iPr_def_10)))),cons(sK31(tl(iPr_def_10)),sK34(tl(iPr_def_10)))) = tl(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_27219,c_108]) ).
tcf(c_27225,plain,
( ( nil = sK56 )
| ( hd(app(sK56,tl(iPr_def_10))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_27219,c_19187]) ).
tcf(c_27226,plain,
! [X0: $i] :
( ( tl(iPr_def_10) = nil )
| ( app(tl(tl(iPr_def_10)),X0) = tl(app(tl(iPr_def_10),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_27219,c_234]) ).
tcf(c_27227,plain,
( ( nil = sK58 )
| ( hd(app(sK58,tl(iPr_def_10))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_27219,c_19186]) ).
tcf(c_27228,plain,
( ( nil = sK59 )
| ( hd(app(sK59,tl(iPr_def_10))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_27219,c_19185]) ).
tcf(c_27229,plain,
( equalelemsP(tl(iPr_def_10))
| ( app(sK47(tl(iPr_def_10)),cons(sK45(tl(iPr_def_10)),cons(sK46(tl(iPr_def_10)),sK48(tl(iPr_def_10))))) = tl(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_27219,c_132]) ).
tcf(c_27230,plain,
! [X0: $i] :
( ( tl(iPr_def_10) = nil )
| ( hd(app(tl(iPr_def_10),X0)) = hd(tl(iPr_def_10)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_27219,c_233]) ).
tcf(c_27231,plain,
( ( tl(iPr_def_10) = nil )
| ( cons(hd(tl(iPr_def_10)),tl(tl(iPr_def_10))) = tl(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_27219,c_224]) ).
tcf(c_27232,plain,
( ( tl(iPr_def_10) = nil )
| ( cons(sK50(tl(iPr_def_10)),sK49(tl(iPr_def_10))) = tl(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_27219,c_147]) ).
tcf(c_27233,plain,
tl(cons(sK57,tl(iPr_def_10))) = tl(iPr_def_10),
inference(superposition,[status(thm)],[c_27219,c_13997]) ).
tcf(c_27234,plain,
hd(cons(sK57,tl(iPr_def_10))) = sK57,
inference(superposition,[status(thm)],[c_27219,c_13821]) ).
tcf(c_27235,plain,
( ( tl(iPr_def_10) = nil )
| ( tl(tl(iPr_def_10)) = sK52(tl(iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_27219,c_222]) ).
tcf(c_27236,plain,
( ( tl(iPr_def_10) = nil )
| ( hd(tl(iPr_def_10)) = sK51(tl(iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_27219,c_220]) ).
tcf(c_27237,plain,
( duplicatefreeP(tl(iPr_def_10))
| ( sK40(tl(iPr_def_10)) = sK41(tl(iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_27219,c_123]) ).
tcf(c_27238,plain,
app(tl(iPr_def_10),nil) = tl(iPr_def_10),
inference(superposition,[status(thm)],[c_27219,c_232]) ).
tcf(c_27239,plain,
app(nil,tl(iPr_def_10)) = tl(iPr_def_10),
inference(superposition,[status(thm)],[c_27219,c_155]) ).
tcf(c_27282,plain,
( segmentP(sK56,sK56)
| ~ ssList(nil)
| ~ ssList(app(sK56,nil)) ),
inference(superposition,[status(thm)],[c_12634,c_26281]) ).
tcf(c_27284,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK56,X0),sK56),sK56),sK14(app(sK56,X0),sK56)) = app(sK56,X0) )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(superposition,[status(thm)],[c_26281,c_70]) ).
tcf(c_27285,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X0),X1)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X1)
| ~ ssList(app(sK56,X0)) ),
inference(superposition,[status(thm)],[c_26281,c_190]) ).
tcf(c_27286,plain,
! [X0: $i] :
( ( app(sK56,X0) = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0))
| ~ segmentP(sK56,app(sK56,X0)) ),
inference(superposition,[status(thm)],[c_26281,c_191]) ).
tcf(c_27287,plain,
( segmentP(sK56,sK56)
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_27282,c_12634]) ).
tcf(c_27288,plain,
segmentP(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_27287,c_8907,c_141]) ).
tcf(c_27289,plain,
! [X0: $i] :
( ( app(sK56,X0) = sK56 )
| ~ ssList(X0)
| ~ ssList(app(sK56,X0))
| ~ segmentP(sK56,app(sK56,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27286,c_8907]) ).
tcf(c_27294,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X1)
| ~ ssList(app(sK56,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27285,c_8907]) ).
tcf(c_27300,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK56,X0),sK56),sK56),sK14(app(sK56,X0),sK56)) = app(sK56,X0) )
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27284,c_8907]) ).
tcf(c_27305,plain,
( ( app(app(sK13(sK56,sK56),sK56),sK14(sK56,sK56)) = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_27288,c_70]) ).
tcf(c_27308,plain,
app(app(sK13(sK56,sK56),sK56),sK14(sK56,sK56)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_27305,c_8907]) ).
tcf(c_27309,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK14(sK56,sK56))
| ~ ssList(X0)
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56))
| ~ ssList(app(app(app(sK13(sK56,sK56),sK56),sK14(sK56,sK56)),X0)) ),
inference(superposition,[status(thm)],[c_27308,c_67]) ).
tcf(c_27312,plain,
! [X0: $i] :
( memberP(sK14(sK56,sK56),X0)
| memberP(app(sK13(sK56,sK56),sK56),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_27308,c_167]) ).
tcf(c_27313,plain,
( ( app(sK13(sK56,sK56),sK56) = nil )
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_27308,c_231]) ).
tcf(c_27314,plain,
( ( sK14(sK56,sK56) = nil )
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_27308,c_230]) ).
tcf(c_27315,plain,
( frontsegP(sK56,app(sK13(sK56,sK56),sK56))
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_27308,c_382]) ).
tcf(c_27316,plain,
( rearsegP(sK56,sK14(sK56,sK56))
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_27308,c_379]) ).
tcf(c_27318,plain,
! [X0: $i] :
( ( app(sK13(sK56,sK56),sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56))
| ( app(X0,sK14(sK56,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_27308,c_225]) ).
tcf(c_27320,plain,
! [X0: $i] :
( ( sK14(sK56,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56))
| ( app(app(sK13(sK56,sK56),sK56),X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_27308,c_226]) ).
tcf(c_27321,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56))
| ~ frontsegP(app(sK13(sK56,sK56),sK56),X0) ),
inference(superposition,[status(thm)],[c_27308,c_176]) ).
tcf(c_27322,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK13(sK56,sK56),sK56))
| ~ memberP(app(sK13(sK56,sK56),sK56),X0) ),
inference(superposition,[status(thm)],[c_27308,c_165]) ).
tcf(c_27323,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK14(sK56,sK56))
| ~ segmentP(sK14(sK56,sK56),X0)
| ~ ssList(app(sK13(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_27308,c_193]) ).
tcf(c_27324,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK14(sK56,sK56))
| ~ rearsegP(sK14(sK56,sK56),X0)
| ~ ssList(app(sK13(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_27308,c_186]) ).
tcf(c_27325,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(sK56,sK56))
| ~ memberP(sK14(sK56,sK56),X0)
| ~ ssList(app(sK13(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_27308,c_166]) ).
tcf(c_27383,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK14(sK56,sK56))
| ~ ssList(X0)
| ~ ssList(sK14(sK56,sK56))
| ~ ssList(app(sK56,X0))
| ~ ssList(app(sK13(sK56,sK56),sK56)) ),
inference(light_normalisation,[status(thm)],[c_27309,c_27308]) ).
tcf(c_27402,plain,
( segmentP(iPr_def_12,sK58)
| ~ ssList(iPr_def_11)
| ~ ssList(app(sK58,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_8904,c_26286]) ).
tcf(c_27403,plain,
( segmentP(sK58,sK58)
| ~ ssList(nil)
| ~ ssList(app(sK58,nil)) ),
inference(superposition,[status(thm)],[c_12633,c_26286]) ).
tcf(c_27406,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK58,X0),sK58),sK58),sK14(app(sK58,X0),sK58)) = app(sK58,X0) )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,X0)) ),
inference(superposition,[status(thm)],[c_26286,c_70]) ).
tcf(c_27407,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X0),X1)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X1)
| ~ ssList(app(sK58,X0)) ),
inference(superposition,[status(thm)],[c_26286,c_190]) ).
tcf(c_27408,plain,
! [X0: $i] :
( ( app(sK58,X0) = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,X0))
| ~ segmentP(sK58,app(sK58,X0)) ),
inference(superposition,[status(thm)],[c_26286,c_191]) ).
tcf(c_27409,plain,
( segmentP(sK58,sK58)
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_27403,c_12633]) ).
tcf(c_27410,plain,
segmentP(sK58,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_27409,c_8915,c_141]) ).
tcf(c_27411,plain,
( segmentP(iPr_def_12,sK58)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_27402,c_8904]) ).
tcf(c_27412,plain,
segmentP(iPr_def_12,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_27411,c_12842,c_12706]) ).
tcf(c_27413,plain,
! [X0: $i] :
( ( app(sK58,X0) = sK58 )
| ~ ssList(X0)
| ~ ssList(app(sK58,X0))
| ~ segmentP(sK58,app(sK58,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27408,c_8915]) ).
tcf(c_27418,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X1)
| ~ ssList(app(sK58,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27407,c_8915]) ).
tcf(c_27424,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK58,X0),sK58),sK58),sK14(app(sK58,X0),sK58)) = app(sK58,X0) )
| ~ ssList(X0)
| ~ ssList(app(sK58,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27406,c_8915]) ).
tcf(c_27429,plain,
( ( app(app(sK13(sK58,sK58),sK58),sK14(sK58,sK58)) = sK58 )
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_27410,c_70]) ).
tcf(c_27432,plain,
app(app(sK13(sK58,sK58),sK58),sK14(sK58,sK58)) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_27429,c_8915]) ).
tcf(c_27448,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_8903,c_178]) ).
tcf(c_27449,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_8902,c_178]) ).
tcf(c_27450,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( sK50(sK59) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ frontsegP(sK59,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_15483,c_178]) ).
tcf(c_27451,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( sK50(sK58) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ frontsegP(sK58,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_15484,c_178]) ).
tcf(c_27452,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( sK50(sK56) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ frontsegP(sK56,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_15485,c_178]) ).
tcf(c_27453,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( hd(sK59) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ frontsegP(sK59,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_16297,c_178]) ).
tcf(c_27454,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( hd(sK58) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ frontsegP(sK58,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_16298,c_178]) ).
tcf(c_27455,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(sK56) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ frontsegP(sK56,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_16299,c_178]) ).
tcf(c_27456,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_11) = X0 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_17013,c_178]) ).
tcf(c_27457,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_11) ),
inference(superposition,[status(thm)],[c_8903,c_178]) ).
tcf(c_27458,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_10) ),
inference(superposition,[status(thm)],[c_8902,c_178]) ).
tcf(c_27459,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( sK50(sK59) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ frontsegP(cons(X0,X1),sK59) ),
inference(superposition,[status(thm)],[c_15483,c_178]) ).
tcf(c_27460,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( sK50(sK58) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ frontsegP(cons(X0,X1),sK58) ),
inference(superposition,[status(thm)],[c_15484,c_178]) ).
tcf(c_27461,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( sK50(sK56) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ frontsegP(cons(X0,X1),sK56) ),
inference(superposition,[status(thm)],[c_15485,c_178]) ).
tcf(c_27462,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( hd(sK59) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ frontsegP(cons(X0,X1),sK59) ),
inference(superposition,[status(thm)],[c_16297,c_178]) ).
tcf(c_27463,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( hd(sK58) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ frontsegP(cons(X0,X1),sK58) ),
inference(superposition,[status(thm)],[c_16298,c_178]) ).
tcf(c_27464,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(sK56) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ frontsegP(cons(X0,X1),sK56) ),
inference(superposition,[status(thm)],[c_16299,c_178]) ).
tcf(c_27465,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_11) = X0 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ frontsegP(cons(X0,X1),iPr_def_11) ),
inference(superposition,[status(thm)],[c_17013,c_178]) ).
tcf(c_27466,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27458,c_141,c_18252]) ).
tcf(c_27471,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27457,c_141,c_8914]) ).
tcf(c_27476,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27449,c_141,c_18252]) ).
tcf(c_27481,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27448,c_141,c_8914]) ).
tcf(c_27486,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_11) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ frontsegP(cons(X0,X1),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27465,c_141]) ).
tcf(c_27492,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_11) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27456,c_141]) ).
tcf(c_27729,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_8903,c_143]) ).
tcf(c_27730,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_8902,c_143]) ).
tcf(c_27731,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( sK50(sK59) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ( cons(X0,X1) != sK59 ) ),
inference(superposition,[status(thm)],[c_15483,c_143]) ).
tcf(c_27732,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( sK50(sK58) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ( cons(X0,X1) != sK58 ) ),
inference(superposition,[status(thm)],[c_15484,c_143]) ).
tcf(c_27733,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( sK50(sK56) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ( cons(X0,X1) != sK56 ) ),
inference(superposition,[status(thm)],[c_15485,c_143]) ).
tcf(c_27734,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( hd(sK59) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ( cons(X0,X1) != sK59 ) ),
inference(superposition,[status(thm)],[c_16297,c_143]) ).
tcf(c_27735,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( hd(sK58) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ( cons(X0,X1) != sK58 ) ),
inference(superposition,[status(thm)],[c_16298,c_143]) ).
tcf(c_27736,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(sK56) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ( cons(X0,X1) != sK56 ) ),
inference(superposition,[status(thm)],[c_16299,c_143]) ).
tcf(c_27737,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_11) = X0 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_11))
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_17013,c_143]) ).
tcf(c_27739,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27730,c_141,c_18252]) ).
tcf(c_27744,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27729,c_141,c_8914]) ).
tcf(c_27749,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_11) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_11))
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27737,c_141]) ).
tcf(c_27827,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_8903,c_144]) ).
tcf(c_27828,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_8902,c_144]) ).
tcf(c_27829,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( sK49(sK59) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ( cons(X0,X1) != sK59 ) ),
inference(superposition,[status(thm)],[c_15483,c_144]) ).
tcf(c_27830,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( sK49(sK58) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ( cons(X0,X1) != sK58 ) ),
inference(superposition,[status(thm)],[c_15484,c_144]) ).
tcf(c_27831,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( sK49(sK56) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ( cons(X0,X1) != sK56 ) ),
inference(superposition,[status(thm)],[c_15485,c_144]) ).
tcf(c_27832,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( tl(sK59) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ( cons(X0,X1) != sK59 ) ),
inference(superposition,[status(thm)],[c_16297,c_144]) ).
tcf(c_27833,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( tl(sK58) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ( cons(X0,X1) != sK58 ) ),
inference(superposition,[status(thm)],[c_16298,c_144]) ).
tcf(c_27834,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(sK56) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ( cons(X0,X1) != sK56 ) ),
inference(superposition,[status(thm)],[c_16299,c_144]) ).
tcf(c_27835,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_11))
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_17013,c_144]) ).
tcf(c_27837,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27828,c_141,c_18252]) ).
tcf(c_27842,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27827,c_141,c_8914]) ).
tcf(c_27847,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_11))
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27835,c_141]) ).
tcf(c_28154,plain,
( ( app(app(sK13(iPr_def_12,sK58),sK58),sK14(iPr_def_12,sK58)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_27412,c_70]) ).
tcf(c_28155,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_27412,c_190]) ).
tcf(c_28156,plain,
( ( sK58 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK58)
| ~ segmentP(sK58,iPr_def_12) ),
inference(superposition,[status(thm)],[c_27412,c_191]) ).
tcf(c_28157,plain,
( ( sK58 = iPr_def_12 )
| ~ segmentP(sK58,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28156,c_12842,c_8915]) ).
tcf(c_28160,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28155,c_12842,c_8915]) ).
tcf(c_28164,plain,
app(app(sK13(iPr_def_12,sK58),sK58),sK14(iPr_def_12,sK58)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_28154,c_12842,c_8915]) ).
tcf(c_28167,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK50(iPr_def_11))
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ ssList(app(X0,cons(sK50(iPr_def_11),sK49(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_15492,c_54]) ).
tcf(c_28171,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_11) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ frontsegP(cons(X0,X1),iPr_def_11) ),
inference(superposition,[status(thm)],[c_15492,c_178]) ).
tcf(c_28172,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,sK49(iPr_def_11))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ frontsegP(cons(X0,X1),iPr_def_11) ),
inference(superposition,[status(thm)],[c_15492,c_179]) ).
tcf(c_28173,plain,
! [X0: $i,X1: $i] :
( ( sK49(iPr_def_11) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15492,c_144]) ).
tcf(c_28174,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_11) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15492,c_143]) ).
tcf(c_28175,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_11) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_15492,c_178]) ).
tcf(c_28176,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK49(iPr_def_11),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_15492,c_179]) ).
tcf(c_28177,plain,
! [X0: $i] :
( memberP(sK49(iPr_def_11),X0)
| ( sK50(iPr_def_11) = X0 )
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_15492,c_170]) ).
tcf(c_28178,plain,
( lt(sK50(iPr_def_11),hd(sK49(iPr_def_11)))
| ( sK49(iPr_def_11) = nil )
| ~ strictorderedP(iPr_def_11)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15492,c_214]) ).
tcf(c_28179,plain,
( leq(sK50(iPr_def_11),hd(sK49(iPr_def_11)))
| ( sK49(iPr_def_11) = nil )
| ~ totalorderedP(iPr_def_11)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15492,c_208]) ).
tcf(c_28180,plain,
( strictorderedP(sK49(iPr_def_11))
| ( sK49(iPr_def_11) = nil )
| ~ strictorderedP(iPr_def_11)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15492,c_213]) ).
tcf(c_28181,plain,
( totalorderedP(sK49(iPr_def_11))
| ( sK49(iPr_def_11) = nil )
| ~ totalorderedP(iPr_def_11)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15492,c_207]) ).
tcf(c_28183,plain,
( ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ( sK49(iPr_def_11) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15492,c_142]) ).
tcf(c_28184,plain,
( memberP(iPr_def_11,sK50(iPr_def_11))
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15492,c_168]) ).
tcf(c_28186,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,cons(sK50(iPr_def_11),X0))
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ frontsegP(sK49(iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_15492,c_177]) ).
tcf(c_28187,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ memberP(sK49(iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_15492,c_169]) ).
tcf(c_28188,plain,
! [X0: $i] :
( frontsegP(cons(sK50(iPr_def_11),X0),iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ frontsegP(X0,sK49(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15492,c_177]) ).
tcf(c_28200,plain,
( totalorderedP(sK49(iPr_def_11))
| ( sK49(iPr_def_11) = nil )
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28181,c_12089]) ).
tcf(c_28205,plain,
( strictorderedP(sK49(iPr_def_11))
| ( sK49(iPr_def_11) = nil )
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28180,c_12103]) ).
tcf(c_28220,plain,
( leq(sK50(iPr_def_11),hd(sK49(iPr_def_11)))
| ( sK49(iPr_def_11) = nil )
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28179,c_12089]) ).
tcf(c_28225,plain,
( lt(sK50(iPr_def_11),hd(sK49(iPr_def_11)))
| ( sK49(iPr_def_11) = nil )
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28178,c_12103]) ).
tcf(c_28272,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK50(iPr_def_11))
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ ssList(app(X0,iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_28167,c_15492]) ).
tcf(c_28307,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK11(iPr_def_12,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_12))
| ~ ssList(app(app(iPr_def_12,sK11(iPr_def_12,iPr_def_12)),X0)) ),
inference(superposition,[status(thm)],[c_17805,c_67]) ).
tcf(c_28314,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_17805,c_379]) ).
tcf(c_28316,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_12))
| ( app(X0,sK11(iPr_def_12,iPr_def_12)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_17805,c_225]) ).
tcf(c_28317,plain,
! [X0: $i] :
( ( sK11(iPr_def_12,iPr_def_12) = X0 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_12))
| ( app(iPr_def_12,X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_17805,c_226]) ).
tcf(c_28320,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_12))
| ~ segmentP(sK11(iPr_def_12,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_17805,c_193]) ).
tcf(c_28321,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_12))
| ~ rearsegP(sK11(iPr_def_12,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_17805,c_186]) ).
tcf(c_28322,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_12))
| ~ memberP(sK11(iPr_def_12,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_17805,c_166]) ).
tcf(c_28323,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,iPr_def_12))
| ~ ssList(sK11(iPr_def_12,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28314,c_12842]) ).
tcf(c_28326,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_12))
| ~ memberP(sK11(iPr_def_12,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28322,c_12842]) ).
tcf(c_28331,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_12))
| ~ rearsegP(sK11(iPr_def_12,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28321,c_12842]) ).
tcf(c_28336,plain,
! [X0: $i] :
( ( sK11(iPr_def_12,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_12))
| ( app(iPr_def_12,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28317,c_12842]) ).
tcf(c_28341,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_12))
| ( app(X0,sK11(iPr_def_12,iPr_def_12)) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28316,c_12842]) ).
tcf(c_28346,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_12))
| ~ segmentP(sK11(iPr_def_12,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28320,c_12842]) ).
tcf(c_28352,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK11(iPr_def_12,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_12))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(light_normalisation,[status(thm)],[c_28307,c_17805]) ).
tcf(c_28353,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK11(iPr_def_12,iPr_def_12))
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,iPr_def_12))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28352,c_12842]) ).
tcf(c_28474,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),sK11(iPr_def_11,iPr_def_11))
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ~ ssList(app(app(iPr_def_11,sK11(iPr_def_11,iPr_def_11)),X0)) ),
inference(superposition,[status(thm)],[c_17806,c_67]) ).
tcf(c_28481,plain,
( rearsegP(iPr_def_11,sK11(iPr_def_11,iPr_def_11))
| ~ ssList(iPr_def_11)
| ~ ssList(sK11(iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_17806,c_379]) ).
tcf(c_28483,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ( app(X0,sK11(iPr_def_11,iPr_def_11)) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_17806,c_225]) ).
tcf(c_28484,plain,
! [X0: $i] :
( ( sK11(iPr_def_11,iPr_def_11) = X0 )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ( app(iPr_def_11,X0) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_17806,c_226]) ).
tcf(c_28487,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X1),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ~ segmentP(sK11(iPr_def_11,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_17806,c_193]) ).
tcf(c_28488,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_11,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_17806,c_186]) ).
tcf(c_28489,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ~ memberP(sK11(iPr_def_11,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_17806,c_166]) ).
tcf(c_28490,plain,
( rearsegP(iPr_def_11,sK11(iPr_def_11,iPr_def_11))
| ~ ssList(sK11(iPr_def_11,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28481,c_12706]) ).
tcf(c_28493,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ~ memberP(sK11(iPr_def_11,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28489,c_12706]) ).
tcf(c_28498,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_11,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28488,c_12706]) ).
tcf(c_28503,plain,
! [X0: $i] :
( ( sK11(iPr_def_11,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ( app(iPr_def_11,X0) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28484,c_12706]) ).
tcf(c_28508,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ( app(X0,sK11(iPr_def_11,iPr_def_11)) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28483,c_12706]) ).
tcf(c_28513,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ~ segmentP(sK11(iPr_def_11,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28487,c_12706]) ).
tcf(c_28519,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),sK11(iPr_def_11,iPr_def_11))
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ~ ssList(app(iPr_def_11,X0)) ),
inference(light_normalisation,[status(thm)],[c_28474,c_17806]) ).
tcf(c_28520,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),sK11(iPr_def_11,iPr_def_11))
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ~ ssList(app(iPr_def_11,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28519,c_12706]) ).
tcf(c_28541,plain,
( segmentP(iPr_def_12,nil)
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_194,c_28160]) ).
tcf(c_28543,plain,
segmentP(iPr_def_12,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_28541,c_8915,c_141]) ).
tcf(c_28544,plain,
( ( app(app(sK13(iPr_def_12,nil),nil),sK14(iPr_def_12,nil)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_28543,c_70]) ).
tcf(c_28545,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_28543,c_190]) ).
tcf(c_28546,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ segmentP(nil,iPr_def_12) ),
inference(superposition,[status(thm)],[c_28543,c_191]) ).
tcf(c_28547,plain,
~ segmentP(nil,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_28546,c_17651,c_12842,c_141]) ).
tcf(c_28548,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28545,c_12842,c_141]) ).
tcf(c_28552,plain,
app(app(sK13(iPr_def_12,nil),nil),sK14(iPr_def_12,nil)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_28544,c_12842,c_141]) ).
tcf(c_28572,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK14(sK58,sK58))
| ~ ssList(X0)
| ~ ssList(sK14(sK58,sK58))
| ~ ssList(app(sK13(sK58,sK58),sK58))
| ~ ssList(app(app(app(sK13(sK58,sK58),sK58),sK14(sK58,sK58)),X0)) ),
inference(superposition,[status(thm)],[c_27432,c_67]) ).
tcf(c_28575,plain,
! [X0: $i] :
( memberP(sK14(sK58,sK58),X0)
| memberP(app(sK13(sK58,sK58),sK58),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK14(sK58,sK58))
| ~ ssList(app(sK13(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_27432,c_167]) ).
tcf(c_28576,plain,
( ( app(sK13(sK58,sK58),sK58) = nil )
| ~ ssList(sK14(sK58,sK58))
| ~ ssList(app(sK13(sK58,sK58),sK58))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_27432,c_231]) ).
tcf(c_28577,plain,
( ( sK14(sK58,sK58) = nil )
| ~ ssList(sK14(sK58,sK58))
| ~ ssList(app(sK13(sK58,sK58),sK58))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_27432,c_230]) ).
tcf(c_28578,plain,
( frontsegP(sK58,app(sK13(sK58,sK58),sK58))
| ~ ssList(sK14(sK58,sK58))
| ~ ssList(app(sK13(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_27432,c_382]) ).
tcf(c_28579,plain,
( rearsegP(sK58,sK14(sK58,sK58))
| ~ ssList(sK14(sK58,sK58))
| ~ ssList(app(sK13(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_27432,c_379]) ).
tcf(c_28581,plain,
! [X0: $i] :
( ( app(sK13(sK58,sK58),sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(sK58,sK58))
| ~ ssList(app(sK13(sK58,sK58),sK58))
| ( app(X0,sK14(sK58,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_27432,c_225]) ).
tcf(c_28583,plain,
! [X0: $i] :
( ( sK14(sK58,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(sK58,sK58))
| ~ ssList(app(sK13(sK58,sK58),sK58))
| ( app(app(sK13(sK58,sK58),sK58),X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_27432,c_226]) ).
tcf(c_28584,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK14(sK58,sK58))
| ~ ssList(app(sK13(sK58,sK58),sK58))
| ~ frontsegP(app(sK13(sK58,sK58),sK58),X0) ),
inference(superposition,[status(thm)],[c_27432,c_176]) ).
tcf(c_28585,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(sK58,sK58))
| ~ ssList(app(sK13(sK58,sK58),sK58))
| ~ memberP(app(sK13(sK58,sK58),sK58),X0) ),
inference(superposition,[status(thm)],[c_27432,c_165]) ).
tcf(c_28586,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK14(sK58,sK58))
| ~ segmentP(sK14(sK58,sK58),X0)
| ~ ssList(app(sK13(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_27432,c_193]) ).
tcf(c_28587,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK14(sK58,sK58))
| ~ rearsegP(sK14(sK58,sK58),X0)
| ~ ssList(app(sK13(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_27432,c_186]) ).
tcf(c_28588,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(sK58,sK58))
| ~ memberP(sK14(sK58,sK58),X0)
| ~ ssList(app(sK13(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_27432,c_166]) ).
tcf(c_28646,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK14(sK58,sK58))
| ~ ssList(X0)
| ~ ssList(sK14(sK58,sK58))
| ~ ssList(app(sK58,X0))
| ~ ssList(app(sK13(sK58,sK58),sK58)) ),
inference(light_normalisation,[status(thm)],[c_28572,c_27432]) ).
tcf(c_28677,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK14(iPr_def_12,sK58))
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_12,sK58))
| ~ ssList(app(sK13(iPr_def_12,sK58),sK58))
| ~ ssList(app(app(app(sK13(iPr_def_12,sK58),sK58),sK14(iPr_def_12,sK58)),X0)) ),
inference(superposition,[status(thm)],[c_28164,c_67]) ).
tcf(c_28680,plain,
! [X0: $i] :
( memberP(sK14(iPr_def_12,sK58),X0)
| memberP(app(sK13(iPr_def_12,sK58),sK58),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK14(iPr_def_12,sK58))
| ~ ssList(app(sK13(iPr_def_12,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_28164,c_167]) ).
tcf(c_28683,plain,
( frontsegP(iPr_def_12,app(sK13(iPr_def_12,sK58),sK58))
| ~ ssList(sK14(iPr_def_12,sK58))
| ~ ssList(app(sK13(iPr_def_12,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_28164,c_382]) ).
tcf(c_28684,plain,
( rearsegP(iPr_def_12,sK14(iPr_def_12,sK58))
| ~ ssList(sK14(iPr_def_12,sK58))
| ~ ssList(app(sK13(iPr_def_12,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_28164,c_379]) ).
tcf(c_28686,plain,
! [X0: $i] :
( ( app(sK13(iPr_def_12,sK58),sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_12,sK58))
| ~ ssList(app(sK13(iPr_def_12,sK58),sK58))
| ( app(X0,sK14(iPr_def_12,sK58)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_28164,c_225]) ).
tcf(c_28688,plain,
! [X0: $i] :
( ( sK14(iPr_def_12,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_12,sK58))
| ~ ssList(app(sK13(iPr_def_12,sK58),sK58))
| ( app(app(sK13(iPr_def_12,sK58),sK58),X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_28164,c_226]) ).
tcf(c_28689,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_12,sK58))
| ~ ssList(app(sK13(iPr_def_12,sK58),sK58))
| ~ frontsegP(app(sK13(iPr_def_12,sK58),sK58),X0) ),
inference(superposition,[status(thm)],[c_28164,c_176]) ).
tcf(c_28690,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(iPr_def_12,sK58))
| ~ ssList(app(sK13(iPr_def_12,sK58),sK58))
| ~ memberP(app(sK13(iPr_def_12,sK58),sK58),X0) ),
inference(superposition,[status(thm)],[c_28164,c_165]) ).
tcf(c_28691,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_12,sK58))
| ~ segmentP(sK14(iPr_def_12,sK58),X0)
| ~ ssList(app(sK13(iPr_def_12,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_28164,c_193]) ).
tcf(c_28692,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_12,sK58))
| ~ rearsegP(sK14(iPr_def_12,sK58),X0)
| ~ ssList(app(sK13(iPr_def_12,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_28164,c_186]) ).
tcf(c_28693,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(iPr_def_12,sK58))
| ~ memberP(sK14(iPr_def_12,sK58),X0)
| ~ ssList(app(sK13(iPr_def_12,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_28164,c_166]) ).
tcf(c_28694,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(sK14(iPr_def_12,sK58))
| ~ ssList(sK13(iPr_def_12,sK58)) ),
inference(superposition,[status(thm)],[c_28164,c_193]) ).
tcf(c_28744,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK14(iPr_def_12,sK58))
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_12,sK58))
| ~ ssList(app(iPr_def_12,X0))
| ~ ssList(app(sK13(iPr_def_12,sK58),sK58)) ),
inference(light_normalisation,[status(thm)],[c_28677,c_28164]) ).
tcf(c_28763,plain,
( segmentP(sK59,sK59)
| ~ ssList(nil)
| ~ ssList(app(sK59,nil)) ),
inference(superposition,[status(thm)],[c_12632,c_26291]) ).
tcf(c_28765,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK59,X0),sK59),sK59),sK14(app(sK59,X0),sK59)) = app(sK59,X0) )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(superposition,[status(thm)],[c_26291,c_70]) ).
tcf(c_28766,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X0),X1)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X1)
| ~ ssList(app(sK59,X0)) ),
inference(superposition,[status(thm)],[c_26291,c_190]) ).
tcf(c_28767,plain,
! [X0: $i] :
( ( app(sK59,X0) = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,X0))
| ~ segmentP(sK59,app(sK59,X0)) ),
inference(superposition,[status(thm)],[c_26291,c_191]) ).
tcf(c_28768,plain,
( segmentP(sK59,sK59)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_28763,c_12632]) ).
tcf(c_28769,plain,
segmentP(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_28768,c_8916,c_141]) ).
tcf(c_28770,plain,
! [X0: $i] :
( ( app(sK59,X0) = sK59 )
| ~ ssList(X0)
| ~ ssList(app(sK59,X0))
| ~ segmentP(sK59,app(sK59,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28767,c_8916]) ).
tcf(c_28775,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X1)
| ~ ssList(app(sK59,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28766,c_8916]) ).
tcf(c_28781,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK59,X0),sK59),sK59),sK14(app(sK59,X0),sK59)) = app(sK59,X0) )
| ~ ssList(X0)
| ~ ssList(app(sK59,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28765,c_8916]) ).
tcf(c_28790,plain,
( ( app(app(sK13(sK59,sK59),sK59),sK14(sK59,sK59)) = sK59 )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_28769,c_70]) ).
tcf(c_28793,plain,
app(app(sK13(sK59,sK59),sK59),sK14(sK59,sK59)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_28790,c_8916]) ).
tcf(c_28799,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK14(sK59,sK59))
| ~ ssList(X0)
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59))
| ~ ssList(app(app(app(sK13(sK59,sK59),sK59),sK14(sK59,sK59)),X0)) ),
inference(superposition,[status(thm)],[c_28793,c_67]) ).
tcf(c_28802,plain,
! [X0: $i] :
( memberP(sK14(sK59,sK59),X0)
| memberP(app(sK13(sK59,sK59),sK59),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_28793,c_167]) ).
tcf(c_28803,plain,
( ( app(sK13(sK59,sK59),sK59) = nil )
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_28793,c_231]) ).
tcf(c_28804,plain,
( ( sK14(sK59,sK59) = nil )
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_28793,c_230]) ).
tcf(c_28805,plain,
( frontsegP(sK59,app(sK13(sK59,sK59),sK59))
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_28793,c_382]) ).
tcf(c_28806,plain,
( rearsegP(sK59,sK14(sK59,sK59))
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_28793,c_379]) ).
tcf(c_28808,plain,
! [X0: $i] :
( ( app(sK13(sK59,sK59),sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59))
| ( app(X0,sK14(sK59,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_28793,c_225]) ).
tcf(c_28810,plain,
! [X0: $i] :
( ( sK14(sK59,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59))
| ( app(app(sK13(sK59,sK59),sK59),X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_28793,c_226]) ).
tcf(c_28811,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59))
| ~ frontsegP(app(sK13(sK59,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_28793,c_176]) ).
tcf(c_28812,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK13(sK59,sK59),sK59))
| ~ memberP(app(sK13(sK59,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_28793,c_165]) ).
tcf(c_28813,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK14(sK59,sK59))
| ~ segmentP(sK14(sK59,sK59),X0)
| ~ ssList(app(sK13(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_28793,c_193]) ).
tcf(c_28814,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK14(sK59,sK59))
| ~ rearsegP(sK14(sK59,sK59),X0)
| ~ ssList(app(sK13(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_28793,c_186]) ).
tcf(c_28815,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(sK59,sK59))
| ~ memberP(sK14(sK59,sK59),X0)
| ~ ssList(app(sK13(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_28793,c_166]) ).
tcf(c_28873,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK14(sK59,sK59))
| ~ ssList(X0)
| ~ ssList(sK14(sK59,sK59))
| ~ ssList(app(sK59,X0))
| ~ ssList(app(sK13(sK59,sK59),sK59)) ),
inference(light_normalisation,[status(thm)],[c_28799,c_28793]) ).
tcf(c_29289,plain,
! [X0: $i] :
( ( nil = iPr_def_11 )
| ( X0 = iPr_def_11 )
| ( X0 = nil )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ( tl(X0) != tl(iPr_def_11) )
| ( hd(X0) != sK57 ) ),
inference(superposition,[status(thm)],[c_14676,c_223]) ).
tcf(c_29290,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,sK59) = nil )
| ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,sK59)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_14667,c_223]) ).
tcf(c_29291,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,sK58) = nil )
| ( cons(sK57,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,sK58)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_14668,c_223]) ).
tcf(c_29292,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,sK56) = nil )
| ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,sK56)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_14669,c_223]) ).
tcf(c_29293,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,iPr_def_12) = nil )
| ( cons(sK57,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,iPr_def_12)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_14671,c_223]) ).
tcf(c_29294,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,iPr_def_11) = nil )
| ( cons(sK57,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,iPr_def_11)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_14672,c_223]) ).
tcf(c_29295,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,iPr_def_10) = nil )
| ( cons(sK57,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,iPr_def_10)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_18479,c_223]) ).
tcf(c_29296,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( cons(sK60,sK59) = nil )
| ( cons(sK60,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK59))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,sK59)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_15919,c_223]) ).
tcf(c_29297,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( cons(sK60,sK58) = nil )
| ( cons(sK60,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK58))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,sK58)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_15920,c_223]) ).
tcf(c_29298,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( cons(sK60,sK56) = nil )
| ( cons(sK60,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK56))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,sK56)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_15921,c_223]) ).
tcf(c_29299,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( app(sK59,sK59) = nil )
| ( app(sK59,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ( hd(X0) != hd(sK59) )
| ( tl(app(sK59,sK59)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_20458,c_223]) ).
tcf(c_29300,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( app(sK59,sK58) = nil )
| ( app(sK59,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ( hd(X0) != hd(sK59) )
| ( tl(app(sK59,sK58)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_20459,c_223]) ).
tcf(c_29301,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( app(sK59,sK56) = nil )
| ( app(sK59,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ( hd(X0) != hd(sK59) )
| ( tl(app(sK59,sK56)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_20460,c_223]) ).
tcf(c_29302,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ( app(sK58,sK59) = nil )
| ( app(sK58,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ( hd(X0) != hd(sK58) )
| ( tl(app(sK58,sK59)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_21401,c_223]) ).
tcf(c_29303,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ( app(sK58,sK58) = nil )
| ( app(sK58,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ( hd(X0) != hd(sK58) )
| ( tl(app(sK58,sK58)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_21402,c_223]) ).
tcf(c_29304,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ( app(sK58,sK56) = nil )
| ( app(sK58,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ( hd(X0) != hd(sK58) )
| ( tl(app(sK58,sK56)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_21403,c_223]) ).
tcf(c_29305,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( app(sK56,sK59) = nil )
| ( app(sK56,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ( hd(X0) != hd(sK56) )
| ( tl(app(sK56,sK59)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_23428,c_223]) ).
tcf(c_29306,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( app(sK56,sK58) = nil )
| ( app(sK56,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ( hd(X0) != hd(sK56) )
| ( tl(app(sK56,sK58)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_23429,c_223]) ).
tcf(c_29307,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( app(sK56,sK56) = nil )
| ( app(sK56,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ( hd(X0) != hd(sK56) )
| ( tl(app(sK56,sK56)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_23430,c_223]) ).
tcf(c_29309,plain,
! [X0: $i] :
( ( nil = iPr_def_11 )
| ( X0 = iPr_def_11 )
| ( X0 = nil )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ( tl(X0) != nil )
| ( hd(X0) != sK57 ) ),
inference(light_normalisation,[status(thm)],[c_29289,c_14848]) ).
tcf(c_29310,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( X0 = nil )
| ~ ssList(X0)
| ( tl(X0) != nil )
| ( hd(X0) != sK57 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29309,c_13775,c_12706]) ).
tcf(c_29316,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,iPr_def_10) = nil )
| ( cons(sK57,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ( tl(X0) != iPr_def_10 )
| ( hd(X0) != sK57 ) ),
inference(light_normalisation,[status(thm)],[c_29295,c_18478]) ).
tcf(c_29324,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,iPr_def_11) = nil )
| ( cons(sK57,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ( tl(X0) != iPr_def_11 )
| ( hd(X0) != sK57 ) ),
inference(light_normalisation,[status(thm)],[c_29294,c_14844]) ).
tcf(c_29332,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,iPr_def_12) = nil )
| ( cons(sK57,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ( tl(X0) != iPr_def_12 )
| ( hd(X0) != sK57 ) ),
inference(light_normalisation,[status(thm)],[c_29293,c_14843]) ).
tcf(c_29340,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,sK56) = nil )
| ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( tl(X0) != sK56 )
| ( hd(X0) != sK57 ) ),
inference(light_normalisation,[status(thm)],[c_29292,c_14841]) ).
tcf(c_29348,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,sK58) = nil )
| ( cons(sK57,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ( tl(X0) != sK58 )
| ( hd(X0) != sK57 ) ),
inference(light_normalisation,[status(thm)],[c_29291,c_14840]) ).
tcf(c_29356,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,sK59) = nil )
| ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( tl(X0) != sK59 )
| ( hd(X0) != sK57 ) ),
inference(light_normalisation,[status(thm)],[c_29290,c_14839]) ).
tcf(c_29871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ 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_153,c_130]) ).
tcf(c_29872,plain,
! [X0: $i] :
( ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(sK9(sK56,sK60))
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(app(sK56,cons(sK60,X0)))
| ~ duplicatefreeP(app(app(sK8(sK56,sK60),cons(sK60,sK9(sK56,sK60))),cons(sK60,X0))) ),
inference(superposition,[status(thm)],[c_22922,c_130]) ).
tcf(c_29873,plain,
! [X0: $i] :
( ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(sK9(iPr_def_12,sK57))
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ ssList(app(iPr_def_12,cons(sK57,X0)))
| ~ duplicatefreeP(app(app(sK8(iPr_def_12,sK57),cons(sK57,sK9(iPr_def_12,sK57))),cons(sK57,X0))) ),
inference(superposition,[status(thm)],[c_22921,c_130]) ).
tcf(c_29874,plain,
! [X0: $i] :
( ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(sK9(iPr_def_11,sK57))
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ ssList(app(iPr_def_11,cons(sK57,X0)))
| ~ duplicatefreeP(app(app(sK8(iPr_def_11,sK57),cons(sK57,sK9(iPr_def_11,sK57))),cons(sK57,X0))) ),
inference(superposition,[status(thm)],[c_22920,c_130]) ).
tcf(c_29875,plain,
! [X0: $i] :
( ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(sK9(iPr_def_10,sK57))
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ ssList(app(iPr_def_10,cons(sK57,X0)))
| ~ duplicatefreeP(app(app(sK8(iPr_def_10,sK57),cons(sK57,sK9(iPr_def_10,sK57))),cons(sK57,X0))) ),
inference(superposition,[status(thm)],[c_22918,c_130]) ).
tcf(c_29876,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_11),cons(sK57,X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK57,nil)),cons(sK57,X1))) ),
inference(superposition,[status(thm)],[c_8903,c_130]) ).
tcf(c_29877,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,iPr_def_10),cons(sK60,X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK60,nil)),cons(sK60,X1))) ),
inference(superposition,[status(thm)],[c_8902,c_130]) ).
tcf(c_29878,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ ssList(app(app(X0,sK59),cons(sK50(sK59),X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(sK59),sK49(sK59))),cons(sK50(sK59),X1))) ),
inference(superposition,[status(thm)],[c_15483,c_130]) ).
tcf(c_29879,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ ssList(app(app(X0,sK58),cons(sK50(sK58),X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(sK58),sK49(sK58))),cons(sK50(sK58),X1))) ),
inference(superposition,[status(thm)],[c_15484,c_130]) ).
tcf(c_29880,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ ssList(app(app(X0,sK56),cons(sK50(sK56),X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(sK56),sK49(sK56))),cons(sK50(sK56),X1))) ),
inference(superposition,[status(thm)],[c_15485,c_130]) ).
tcf(c_29881,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ ssList(app(app(X0,iPr_def_11),cons(sK50(iPr_def_11),X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(iPr_def_11),sK49(iPr_def_11))),cons(sK50(iPr_def_11),X1))) ),
inference(superposition,[status(thm)],[c_15492,c_130]) ).
tcf(c_29882,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ ssList(app(app(X0,sK59),cons(hd(sK59),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(sK59),tl(sK59))),cons(hd(sK59),X1))) ),
inference(superposition,[status(thm)],[c_16297,c_130]) ).
tcf(c_29883,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ ssList(app(app(X0,sK58),cons(hd(sK58),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(sK58),tl(sK58))),cons(hd(sK58),X1))) ),
inference(superposition,[status(thm)],[c_16298,c_130]) ).
tcf(c_29884,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ ssList(app(app(X0,sK56),cons(hd(sK56),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(sK56),tl(sK56))),cons(hd(sK56),X1))) ),
inference(superposition,[status(thm)],[c_16299,c_130]) ).
tcf(c_29885,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ ssList(app(app(X0,iPr_def_11),cons(sK10(iPr_def_11),X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK10(iPr_def_11),nil)),cons(sK10(iPr_def_11),X1))) ),
inference(superposition,[status(thm)],[c_17013,c_130]) ).
tcf(c_29886,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(sK57,X1)),iPr_def_11))
| ~ duplicatefreeP(app(app(X0,cons(sK57,X1)),cons(sK57,nil))) ),
inference(superposition,[status(thm)],[c_8903,c_130]) ).
tcf(c_29887,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,cons(sK60,X1)),iPr_def_10))
| ~ duplicatefreeP(app(app(X0,cons(sK60,X1)),cons(sK60,nil))) ),
inference(superposition,[status(thm)],[c_8902,c_130]) ).
tcf(c_29888,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ ssList(app(app(X0,cons(sK50(sK59),X1)),sK59))
| ~ duplicatefreeP(app(app(X0,cons(sK50(sK59),X1)),cons(sK50(sK59),sK49(sK59)))) ),
inference(superposition,[status(thm)],[c_15483,c_130]) ).
tcf(c_29889,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ ssList(app(app(X0,cons(sK50(sK58),X1)),sK58))
| ~ duplicatefreeP(app(app(X0,cons(sK50(sK58),X1)),cons(sK50(sK58),sK49(sK58)))) ),
inference(superposition,[status(thm)],[c_15484,c_130]) ).
tcf(c_29890,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ ssList(app(app(X0,cons(sK50(sK56),X1)),sK56))
| ~ duplicatefreeP(app(app(X0,cons(sK50(sK56),X1)),cons(sK50(sK56),sK49(sK56)))) ),
inference(superposition,[status(thm)],[c_15485,c_130]) ).
tcf(c_29891,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ ssList(app(app(X0,cons(sK50(iPr_def_11),X1)),iPr_def_11))
| ~ duplicatefreeP(app(app(X0,cons(sK50(iPr_def_11),X1)),cons(sK50(iPr_def_11),sK49(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_15492,c_130]) ).
tcf(c_29892,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ ssList(app(app(X0,cons(hd(sK59),X1)),sK59))
| ~ duplicatefreeP(app(app(X0,cons(hd(sK59),X1)),cons(hd(sK59),tl(sK59)))) ),
inference(superposition,[status(thm)],[c_16297,c_130]) ).
tcf(c_29893,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ ssList(app(app(X0,cons(hd(sK58),X1)),sK58))
| ~ duplicatefreeP(app(app(X0,cons(hd(sK58),X1)),cons(hd(sK58),tl(sK58)))) ),
inference(superposition,[status(thm)],[c_16298,c_130]) ).
tcf(c_29894,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ ssList(app(app(X0,cons(hd(sK56),X1)),sK56))
| ~ duplicatefreeP(app(app(X0,cons(hd(sK56),X1)),cons(hd(sK56),tl(sK56)))) ),
inference(superposition,[status(thm)],[c_16299,c_130]) ).
tcf(c_29895,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ ssList(app(app(X0,cons(sK10(iPr_def_11),X1)),iPr_def_11))
| ~ duplicatefreeP(app(app(X0,cons(sK10(iPr_def_11),X1)),cons(sK10(iPr_def_11),nil))) ),
inference(superposition,[status(thm)],[c_17013,c_130]) ).
tcf(c_29896,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(sK60,X1)),iPr_def_10))
| ~ ssList(app(app(X0,cons(sK60,X1)),iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_29887,c_8902]) ).
tcf(c_29897,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(sK60,X1)),iPr_def_10))
| ~ ssList(app(app(X0,cons(sK60,X1)),iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29896,c_141,c_18252]) ).
tcf(c_29902,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(sK57,X1)),iPr_def_11))
| ~ ssList(app(app(X0,cons(sK57,X1)),iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_29886,c_8903]) ).
tcf(c_29903,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(sK57,X1)),iPr_def_11))
| ~ ssList(app(app(X0,cons(sK57,X1)),iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29902,c_141,c_8914]) ).
tcf(c_29908,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_10),cons(sK60,X1)))
| ~ ssList(app(app(X0,iPr_def_10),cons(sK60,X1))) ),
inference(light_normalisation,[status(thm)],[c_29877,c_8902]) ).
tcf(c_29909,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_10),cons(sK60,X1)))
| ~ ssList(app(app(X0,iPr_def_10),cons(sK60,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29908,c_141,c_18252]) ).
tcf(c_29914,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_11),cons(sK57,X1)))
| ~ ssList(app(app(X0,iPr_def_11),cons(sK57,X1))) ),
inference(light_normalisation,[status(thm)],[c_29876,c_8903]) ).
tcf(c_29915,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_11),cons(sK57,X1)))
| ~ ssList(app(app(X0,iPr_def_11),cons(sK57,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29914,c_141,c_8914]) ).
tcf(c_29927,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ duplicatefreeP(app(app(X0,cons(sK10(iPr_def_11),X1)),iPr_def_11))
| ~ ssList(app(app(X0,cons(sK10(iPr_def_11),X1)),iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_29895,c_17013]) ).
tcf(c_29928,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ duplicatefreeP(app(app(X0,cons(sK10(iPr_def_11),X1)),iPr_def_11))
| ~ ssList(app(app(X0,cons(sK10(iPr_def_11),X1)),iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29927,c_141]) ).
tcf(c_29934,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ duplicatefreeP(app(app(X0,iPr_def_11),cons(sK10(iPr_def_11),X1)))
| ~ ssList(app(app(X0,iPr_def_11),cons(sK10(iPr_def_11),X1))) ),
inference(light_normalisation,[status(thm)],[c_29885,c_17013]) ).
tcf(c_29935,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_11))
| ~ duplicatefreeP(app(app(X0,iPr_def_11),cons(sK10(iPr_def_11),X1)))
| ~ ssList(app(app(X0,iPr_def_11),cons(sK10(iPr_def_11),X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29934,c_141]) ).
tcf(c_29941,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ duplicatefreeP(app(app(X0,cons(sK50(iPr_def_11),X1)),iPr_def_11))
| ~ ssList(app(app(X0,cons(sK50(iPr_def_11),X1)),iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_29891,c_15492]) ).
tcf(c_29948,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ duplicatefreeP(app(app(X0,iPr_def_11),cons(sK50(iPr_def_11),X1)))
| ~ ssList(app(app(X0,iPr_def_11),cons(sK50(iPr_def_11),X1))) ),
inference(light_normalisation,[status(thm)],[c_29881,c_15492]) ).
tcf(c_29955,plain,
! [X0: $i] :
( ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(sK9(iPr_def_10,sK57))
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ duplicatefreeP(app(iPr_def_10,cons(sK57,X0)))
| ~ ssList(app(iPr_def_10,cons(sK57,X0))) ),
inference(light_normalisation,[status(thm)],[c_29875,c_22918]) ).
tcf(c_29956,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssList(sK9(iPr_def_10,sK57))
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ duplicatefreeP(app(iPr_def_10,cons(sK57,X0)))
| ~ ssList(app(iPr_def_10,cons(sK57,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29955,c_8914]) ).
tcf(c_29962,plain,
! [X0: $i] :
( ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(sK9(iPr_def_11,sK57))
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ duplicatefreeP(app(iPr_def_11,cons(sK57,X0)))
| ~ ssList(app(iPr_def_11,cons(sK57,X0))) ),
inference(light_normalisation,[status(thm)],[c_29874,c_22920]) ).
tcf(c_29963,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssList(sK9(iPr_def_11,sK57))
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ duplicatefreeP(app(iPr_def_11,cons(sK57,X0)))
| ~ ssList(app(iPr_def_11,cons(sK57,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29962,c_8914]) ).
tcf(c_29969,plain,
! [X0: $i] :
( ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(sK9(iPr_def_12,sK57))
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ duplicatefreeP(app(iPr_def_12,cons(sK57,X0)))
| ~ ssList(app(iPr_def_12,cons(sK57,X0))) ),
inference(light_normalisation,[status(thm)],[c_29873,c_22921]) ).
tcf(c_29970,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssList(sK9(iPr_def_12,sK57))
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ duplicatefreeP(app(iPr_def_12,cons(sK57,X0)))
| ~ ssList(app(iPr_def_12,cons(sK57,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29969,c_8914]) ).
tcf(c_29976,plain,
! [X0: $i] :
( ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(sK9(sK56,sK60))
| ~ ssList(sK8(sK56,sK60))
| ~ duplicatefreeP(app(sK56,cons(sK60,X0)))
| ~ ssList(app(sK56,cons(sK60,X0))) ),
inference(light_normalisation,[status(thm)],[c_29872,c_22922]) ).
tcf(c_29977,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssList(sK9(sK56,sK60))
| ~ ssList(sK8(sK56,sK60))
| ~ duplicatefreeP(app(sK56,cons(sK60,X0)))
| ~ ssList(app(sK56,cons(sK60,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29976,c_18252]) ).
tcf(c_30170,plain,
! [X0: $i] :
( segmentP(app(nil,X0),sK11(nil,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(app(app(nil,sK11(nil,nil)),X0)) ),
inference(superposition,[status(thm)],[c_17811,c_67]) ).
tcf(c_30175,plain,
( ( sK11(nil,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_17811,c_230]) ).
tcf(c_30177,plain,
( rearsegP(nil,sK11(nil,nil))
| ~ ssList(nil)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_17811,c_379]) ).
tcf(c_30179,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ( app(X0,sK11(nil,nil)) != nil ) ),
inference(superposition,[status(thm)],[c_17811,c_225]) ).
tcf(c_30180,plain,
! [X0: $i] :
( ( sK11(nil,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ( app(nil,X0) != nil ) ),
inference(superposition,[status(thm)],[c_17811,c_226]) ).
tcf(c_30183,plain,
! [X0: $i,X1: $i] :
( segmentP(app(nil,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ segmentP(sK11(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_17811,c_193]) ).
tcf(c_30184,plain,
! [X0: $i] :
( rearsegP(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_17811,c_186]) ).
tcf(c_30185,plain,
! [X0: $i] :
( memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(nil,nil))
| ~ memberP(sK11(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_17811,c_166]) ).
tcf(c_30186,plain,
( rearsegP(nil,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30177,c_141]) ).
tcf(c_30189,plain,
( ( sK11(nil,nil) = nil )
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30175,c_141]) ).
tcf(c_30192,plain,
! [X0: $i] :
( memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(nil,nil))
| ~ memberP(sK11(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30185,c_141]) ).
tcf(c_30197,plain,
! [X0: $i] :
( rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30184,c_141]) ).
tcf(c_30202,plain,
! [X0: $i] :
( ( sK11(nil,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ( app(nil,X0) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30180,c_141]) ).
tcf(c_30207,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ( app(X0,sK11(nil,nil)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30179,c_141]) ).
tcf(c_30212,plain,
! [X0: $i,X1: $i] :
( segmentP(app(nil,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ segmentP(sK11(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30183,c_141]) ).
tcf(c_30218,plain,
! [X0: $i] :
( segmentP(app(nil,X0),sK11(nil,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(app(nil,X0)) ),
inference(light_normalisation,[status(thm)],[c_30170,c_17811]) ).
tcf(c_30219,plain,
! [X0: $i] :
( segmentP(app(nil,X0),sK11(nil,nil))
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ ssList(app(nil,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30218,c_141]) ).
tcf(c_30255,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK11(iPr_def_12,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,nil))
| ~ ssList(app(app(nil,sK11(iPr_def_12,nil)),X0)) ),
inference(superposition,[status(thm)],[c_17814,c_67]) ).
tcf(c_30258,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(iPr_def_12,nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK11(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_17814,c_167]) ).
tcf(c_30262,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,nil))
| ~ ssList(nil)
| ~ ssList(sK11(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_17814,c_379]) ).
tcf(c_30264,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,nil))
| ( app(X0,sK11(iPr_def_12,nil)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_17814,c_225]) ).
tcf(c_30265,plain,
! [X0: $i] :
( ( sK11(iPr_def_12,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,nil))
| ( app(nil,X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_17814,c_226]) ).
tcf(c_30266,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_17814,c_176]) ).
tcf(c_30268,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,nil))
| ~ segmentP(sK11(iPr_def_12,nil),X0) ),
inference(superposition,[status(thm)],[c_17814,c_193]) ).
tcf(c_30269,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,nil))
| ~ rearsegP(sK11(iPr_def_12,nil),X0) ),
inference(superposition,[status(thm)],[c_17814,c_186]) ).
tcf(c_30270,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_12,nil))
| ~ memberP(sK11(iPr_def_12,nil),X0) ),
inference(superposition,[status(thm)],[c_17814,c_166]) ).
tcf(c_30271,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_12,nil))
| ~ ssList(sK11(iPr_def_12,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30262,c_141]) ).
tcf(c_30275,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_12,nil))
| ~ memberP(sK11(iPr_def_12,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30270,c_141]) ).
tcf(c_30280,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,nil))
| ~ rearsegP(sK11(iPr_def_12,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30269,c_141]) ).
tcf(c_30285,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(iPr_def_12,nil),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK11(iPr_def_12,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30258,c_141]) ).
tcf(c_30291,plain,
! [X0: $i] :
( ( sK11(iPr_def_12,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,nil))
| ( app(nil,X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30265,c_141]) ).
tcf(c_30296,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,nil))
| ( app(X0,sK11(iPr_def_12,nil)) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30264,c_141]) ).
tcf(c_30301,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,nil))
| ~ segmentP(sK11(iPr_def_12,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30268,c_141]) ).
tcf(c_30307,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK11(iPr_def_12,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,nil))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(light_normalisation,[status(thm)],[c_30255,c_17814]) ).
tcf(c_30308,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),sK11(iPr_def_12,nil))
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,nil))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30307,c_141]) ).
tcf(c_30346,plain,
( segmentP(iPr_def_10,sK59)
| ~ ssList(nil)
| ~ ssList(app(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_18244,c_26306]) ).
tcf(c_30347,plain,
! [X0: $i] :
( ( app(app(sK13(app(iPr_def_10,X0),sK59),sK59),sK14(app(iPr_def_10,X0),sK59)) = app(iPr_def_10,X0) )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_26306,c_70]) ).
tcf(c_30348,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X0),X1)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X1)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_26306,c_190]) ).
tcf(c_30349,plain,
! [X0: $i] :
( ( app(iPr_def_10,X0) = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X0))
| ~ segmentP(sK59,app(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_26306,c_191]) ).
tcf(c_30350,plain,
( segmentP(iPr_def_10,sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_30346,c_18244]) ).
tcf(c_30351,plain,
segmentP(iPr_def_10,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_30350,c_18245,c_141]) ).
tcf(c_30352,plain,
! [X0: $i] :
( ( app(iPr_def_10,X0) = sK59 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X0))
| ~ segmentP(sK59,app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30349,c_8916]) ).
tcf(c_30357,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X1)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30348,c_8916]) ).
tcf(c_30363,plain,
! [X0: $i] :
( ( app(app(sK13(app(iPr_def_10,X0),sK59),sK59),sK14(app(iPr_def_10,X0),sK59)) = app(iPr_def_10,X0) )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30347,c_8916]) ).
tcf(c_30532,plain,
( segmentP(iPr_def_10,iPr_def_11)
| ~ ssList(sK59)
| ~ ssList(app(iPr_def_12,sK59)) ),
inference(superposition,[status(thm)],[c_18265,c_26311]) ).
tcf(c_30533,plain,
( segmentP(iPr_def_12,iPr_def_11)
| ~ ssList(nil)
| ~ ssList(app(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_12869,c_26311]) ).
tcf(c_30535,plain,
! [X0: $i] :
( ( app(app(sK13(app(iPr_def_12,X0),iPr_def_11),iPr_def_11),sK14(app(iPr_def_12,X0),iPr_def_11)) = app(iPr_def_12,X0) )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_26311,c_70]) ).
tcf(c_30536,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X0),X1)
| ~ ssList(iPr_def_11)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X1)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_26311,c_190]) ).
tcf(c_30537,plain,
! [X0: $i] :
( ( app(iPr_def_12,X0) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,X0))
| ~ segmentP(iPr_def_11,app(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_26311,c_191]) ).
tcf(c_30538,plain,
( segmentP(iPr_def_12,iPr_def_11)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_30533,c_12869]) ).
tcf(c_30539,plain,
segmentP(iPr_def_12,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_30538,c_12842,c_141]) ).
tcf(c_30540,plain,
( segmentP(iPr_def_10,iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(light_normalisation,[status(thm)],[c_30532,c_18265]) ).
tcf(c_30541,plain,
segmentP(iPr_def_10,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_30540,c_18245,c_8916]) ).
tcf(c_30542,plain,
! [X0: $i] :
( ( app(iPr_def_12,X0) = iPr_def_11 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,X0))
| ~ segmentP(iPr_def_11,app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30537,c_12706]) ).
tcf(c_30547,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X1)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30536,c_12706]) ).
tcf(c_30553,plain,
! [X0: $i] :
( ( app(app(sK13(app(iPr_def_12,X0),iPr_def_11),iPr_def_11),sK14(app(iPr_def_12,X0),iPr_def_11)) = app(iPr_def_12,X0) )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30535,c_12706]) ).
tcf(c_30559,plain,
( ( app(app(sK13(iPr_def_10,iPr_def_11),iPr_def_11),sK14(iPr_def_10,iPr_def_11)) = iPr_def_10 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_30541,c_70]) ).
tcf(c_30560,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_30541,c_190]) ).
tcf(c_30561,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ segmentP(iPr_def_11,iPr_def_10) ),
inference(superposition,[status(thm)],[c_30541,c_191]) ).
tcf(c_30562,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ segmentP(iPr_def_11,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30561,c_12706,c_18245]) ).
tcf(c_30565,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30560,c_12706,c_18245]) ).
tcf(c_30569,plain,
app(app(sK13(iPr_def_10,iPr_def_11),iPr_def_11),sK14(iPr_def_10,iPr_def_11)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_30559,c_12706,c_18245]) ).
tcf(c_30578,plain,
( ( nil = sK58 )
| ~ ssList(nil)
| ( iPr_def_11 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12739,c_25227]) ).
tcf(c_30579,plain,
( ( nil = sK58 )
| ( iPr_def_11 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30578,c_141]) ).
tcf(c_30589,plain,
( ( sK11(sK56,sK56) = nil )
| ~ ssList(sK11(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_17807,c_25908]) ).
tcf(c_30598,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( sK58 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8904,c_25912]) ).
tcf(c_30601,plain,
( ( sK11(sK58,sK58) = nil )
| ~ ssList(sK11(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_17808,c_25912]) ).
tcf(c_30604,plain,
sK58 != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_30598,c_13775,c_12706]) ).
tcf(c_30605,plain,
~ segmentP(sK58,iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_28157,c_30604]) ).
tcf(c_30606,plain,
~ frontsegP(sK58,iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_18721,c_30604]) ).
tcf(c_30614,plain,
( ( sK11(sK59,sK59) = nil )
| ~ ssList(sK11(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_17809,c_25916]) ).
tcf(c_30624,plain,
( ( sK11(nil,nil) = sK56 )
| ~ ssList(sK11(nil,nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_17811,c_25920]) ).
tcf(c_30634,plain,
( ( sK11(sK59,nil) = sK56 )
| ~ ssList(sK11(sK59,nil))
| ( sK59 != sK56 ) ),
inference(superposition,[status(thm)],[c_17817,c_25920]) ).
tcf(c_30635,plain,
( ( sK11(sK58,nil) = sK56 )
| ~ ssList(sK11(sK58,nil))
| ( sK58 != sK56 ) ),
inference(superposition,[status(thm)],[c_17816,c_25920]) ).
tcf(c_30636,plain,
( ( sK11(sK56,nil) = sK56 )
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_17815,c_25920]) ).
tcf(c_30637,plain,
( ( sK11(iPr_def_12,nil) = sK56 )
| ~ ssList(sK11(iPr_def_12,nil))
| ( sK56 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_17814,c_25920]) ).
tcf(c_30741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(cons(X1,cons(X2,X3)))
| ~ equalelemsP(app(X0,cons(X1,cons(X2,X3)))) ),
inference(superposition,[status(thm)],[c_153,c_137]) ).
tcf(c_30742,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,iPr_def_11)))
| ~ equalelemsP(app(X0,cons(X1,cons(sK57,nil)))) ),
inference(superposition,[status(thm)],[c_8903,c_137]) ).
tcf(c_30743,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,iPr_def_10)))
| ~ equalelemsP(app(X0,cons(X1,cons(sK60,nil)))) ),
inference(superposition,[status(thm)],[c_8902,c_137]) ).
tcf(c_30744,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( sK50(sK59) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ ssList(app(X0,cons(X1,sK59)))
| ~ equalelemsP(app(X0,cons(X1,cons(sK50(sK59),sK49(sK59))))) ),
inference(superposition,[status(thm)],[c_15483,c_137]) ).
tcf(c_30745,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( sK50(sK58) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ ssList(app(X0,cons(X1,sK58)))
| ~ equalelemsP(app(X0,cons(X1,cons(sK50(sK58),sK49(sK58))))) ),
inference(superposition,[status(thm)],[c_15484,c_137]) ).
tcf(c_30746,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( sK50(sK56) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ ssList(app(X0,cons(X1,sK56)))
| ~ equalelemsP(app(X0,cons(X1,cons(sK50(sK56),sK49(sK56))))) ),
inference(superposition,[status(thm)],[c_15485,c_137]) ).
tcf(c_30747,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_11) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ ssList(app(X0,cons(X1,iPr_def_11)))
| ~ equalelemsP(app(X0,cons(X1,cons(sK50(iPr_def_11),sK49(iPr_def_11))))) ),
inference(superposition,[status(thm)],[c_15492,c_137]) ).
tcf(c_30748,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( hd(sK59) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ ssList(app(X0,cons(X1,sK59)))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(sK59),tl(sK59))))) ),
inference(superposition,[status(thm)],[c_16297,c_137]) ).
tcf(c_30749,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( hd(sK58) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ ssList(app(X0,cons(X1,sK58)))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(sK58),tl(sK58))))) ),
inference(superposition,[status(thm)],[c_16298,c_137]) ).
tcf(c_30750,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( hd(sK56) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ ssList(app(X0,cons(X1,sK56)))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(sK56),tl(sK56))))) ),
inference(superposition,[status(thm)],[c_16299,c_137]) ).
tcf(c_30751,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_11) = X1 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ ssList(app(X0,cons(X1,iPr_def_11)))
| ~ equalelemsP(app(X0,cons(X1,cons(sK10(iPr_def_11),nil)))) ),
inference(superposition,[status(thm)],[c_17013,c_137]) ).
tcf(c_30752,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ equalelemsP(app(X0,cons(X1,iPr_def_10)))
| ~ ssList(app(X0,cons(X1,iPr_def_10))) ),
inference(light_normalisation,[status(thm)],[c_30743,c_8902]) ).
tcf(c_30753,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK60 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ equalelemsP(app(X0,cons(X1,iPr_def_10)))
| ~ ssList(app(X0,cons(X1,iPr_def_10))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30752,c_141,c_18252]) ).
tcf(c_30759,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ equalelemsP(app(X0,cons(X1,iPr_def_11)))
| ~ ssList(app(X0,cons(X1,iPr_def_11))) ),
inference(light_normalisation,[status(thm)],[c_30742,c_8903]) ).
tcf(c_30760,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK57 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ equalelemsP(app(X0,cons(X1,iPr_def_11)))
| ~ ssList(app(X0,cons(X1,iPr_def_11))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30759,c_141,c_8914]) ).
tcf(c_30773,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_11) = X1 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_11)))
| ~ ssList(app(X0,cons(X1,iPr_def_11))) ),
inference(light_normalisation,[status(thm)],[c_30751,c_17013]) ).
tcf(c_30774,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_11) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_11)))
| ~ ssList(app(X0,cons(X1,iPr_def_11))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30773,c_141]) ).
tcf(c_30781,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_11) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_11)))
| ~ ssList(app(X0,cons(X1,iPr_def_11))) ),
inference(light_normalisation,[status(thm)],[c_30747,c_15492]) ).
tcf(c_30863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ 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_153,c_114]) ).
tcf(c_30864,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(sK56,sK60))
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(app(sK56,cons(X0,X1)))
| ~ totalorderedP(app(app(sK8(sK56,sK60),cons(sK60,sK9(sK56,sK60))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22922,c_114]) ).
tcf(c_30865,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_12,sK57))
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ ssList(app(iPr_def_12,cons(X0,X1)))
| ~ totalorderedP(app(app(sK8(iPr_def_12,sK57),cons(sK57,sK9(iPr_def_12,sK57))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22921,c_114]) ).
tcf(c_30866,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_11,sK57))
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ ssList(app(iPr_def_11,cons(X0,X1)))
| ~ totalorderedP(app(app(sK8(iPr_def_11,sK57),cons(sK57,sK9(iPr_def_11,sK57))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22920,c_114]) ).
tcf(c_30867,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_10,sK57))
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ ssList(app(iPr_def_10,cons(X0,X1)))
| ~ totalorderedP(app(app(sK8(iPr_def_10,sK57),cons(sK57,sK9(iPr_def_10,sK57))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22918,c_114]) ).
tcf(c_30868,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK57,X1)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK57,nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_8903,c_114]) ).
tcf(c_30869,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK60,X1)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK60,nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_8902,c_114]) ).
tcf(c_30870,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK50(sK59),X1)
| ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ ssList(app(app(X0,sK59),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK50(sK59),sK49(sK59))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15483,c_114]) ).
tcf(c_30871,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK50(sK58),X1)
| ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ ssList(app(app(X0,sK58),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK50(sK58),sK49(sK58))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15484,c_114]) ).
tcf(c_30872,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK50(sK56),X1)
| ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ ssList(app(app(X0,sK56),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK50(sK56),sK49(sK56))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15485,c_114]) ).
tcf(c_30873,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK50(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK50(iPr_def_11),sK49(iPr_def_11))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15492,c_114]) ).
tcf(c_30874,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(sK59),X1)
| ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ ssList(app(app(X0,sK59),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(sK59),tl(sK59))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16297,c_114]) ).
tcf(c_30875,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(sK58),X1)
| ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ ssList(app(app(X0,sK58),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(sK58),tl(sK58))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16298,c_114]) ).
tcf(c_30876,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(sK56),X1)
| ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ ssList(app(app(X0,sK56),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(sK56),tl(sK56))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16299,c_114]) ).
tcf(c_30877,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK10(iPr_def_11),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK10(iPr_def_11),nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_17013,c_114]) ).
tcf(c_30878,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK57,nil))) ),
inference(superposition,[status(thm)],[c_8903,c_114]) ).
tcf(c_30879,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK60)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK60,nil))) ),
inference(superposition,[status(thm)],[c_8902,c_114]) ).
tcf(c_30880,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(sK59))
| ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ ssList(app(app(X0,cons(X1,X2)),sK59))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK50(sK59),sK49(sK59)))) ),
inference(superposition,[status(thm)],[c_15483,c_114]) ).
tcf(c_30881,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(sK58))
| ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ ssList(app(app(X0,cons(X1,X2)),sK58))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK50(sK58),sK49(sK58)))) ),
inference(superposition,[status(thm)],[c_15484,c_114]) ).
tcf(c_30882,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(sK56))
| ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ ssList(app(app(X0,cons(X1,X2)),sK56))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK50(sK56),sK49(sK56)))) ),
inference(superposition,[status(thm)],[c_15485,c_114]) ).
tcf(c_30883,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(iPr_def_11))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK50(iPr_def_11),sK49(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_15492,c_114]) ).
tcf(c_30884,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sK59))
| ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ ssList(app(app(X0,cons(X1,X2)),sK59))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(sK59),tl(sK59)))) ),
inference(superposition,[status(thm)],[c_16297,c_114]) ).
tcf(c_30885,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sK58))
| ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ ssList(app(app(X0,cons(X1,X2)),sK58))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(sK58),tl(sK58)))) ),
inference(superposition,[status(thm)],[c_16298,c_114]) ).
tcf(c_30886,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sK56))
| ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ ssList(app(app(X0,cons(X1,X2)),sK56))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(sK56),tl(sK56)))) ),
inference(superposition,[status(thm)],[c_16299,c_114]) ).
tcf(c_30887,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_11))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK10(iPr_def_11),nil))) ),
inference(superposition,[status(thm)],[c_17013,c_114]) ).
tcf(c_30888,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK60)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_30879,c_8902]) ).
tcf(c_30889,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30888,c_141,c_18252]) ).
tcf(c_30896,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_30878,c_8903]) ).
tcf(c_30897,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30896,c_141,c_8914]) ).
tcf(c_30904,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK60,X1)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X0,iPr_def_10),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_30869,c_8902]) ).
tcf(c_30905,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK60,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X0,iPr_def_10),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30904,c_141,c_18252]) ).
tcf(c_30912,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK57,X1)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_30868,c_8903]) ).
tcf(c_30913,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK57,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30912,c_141,c_8914]) ).
tcf(c_30920,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_11))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_30887,c_17013]) ).
tcf(c_30921,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_11))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30920,c_141]) ).
tcf(c_30929,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK10(iPr_def_11),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ totalorderedP(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_30877,c_17013]) ).
tcf(c_30930,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK10(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ totalorderedP(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30929,c_141]) ).
tcf(c_30947,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(iPr_def_11))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_30883,c_15492]) ).
tcf(c_30956,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK50(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ totalorderedP(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_30873,c_15492]) ).
tcf(c_30965,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_10,sK57))
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ totalorderedP(app(iPr_def_10,cons(X0,X1)))
| ~ ssList(app(iPr_def_10,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_30867,c_22918]) ).
tcf(c_30966,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_10,sK57))
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ totalorderedP(app(iPr_def_10,cons(X0,X1)))
| ~ ssList(app(iPr_def_10,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30965,c_8914]) ).
tcf(c_30974,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_11,sK57))
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ totalorderedP(app(iPr_def_11,cons(X0,X1)))
| ~ ssList(app(iPr_def_11,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_30866,c_22920]) ).
tcf(c_30975,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_11,sK57))
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ totalorderedP(app(iPr_def_11,cons(X0,X1)))
| ~ ssList(app(iPr_def_11,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30974,c_8914]) ).
tcf(c_30983,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_12,sK57))
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ totalorderedP(app(iPr_def_12,cons(X0,X1)))
| ~ ssList(app(iPr_def_12,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_30865,c_22921]) ).
tcf(c_30984,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_12,sK57))
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ totalorderedP(app(iPr_def_12,cons(X0,X1)))
| ~ ssList(app(iPr_def_12,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30983,c_8914]) ).
tcf(c_30992,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(sK56,sK60))
| ~ ssList(sK8(sK56,sK60))
| ~ totalorderedP(app(sK56,cons(X0,X1)))
| ~ ssList(app(sK56,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_30864,c_22922]) ).
tcf(c_30993,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(sK56,sK60))
| ~ ssList(sK8(sK56,sK60))
| ~ totalorderedP(app(sK56,cons(X0,X1)))
| ~ ssList(app(sK56,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30992,c_18252]) ).
tcf(c_31149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ 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_153,c_122]) ).
tcf(c_31150,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(sK56,sK60))
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(app(sK56,cons(X0,X1)))
| ~ strictorderedP(app(app(sK8(sK56,sK60),cons(sK60,sK9(sK56,sK60))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22922,c_122]) ).
tcf(c_31151,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_12,sK57))
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ ssList(app(iPr_def_12,cons(X0,X1)))
| ~ strictorderedP(app(app(sK8(iPr_def_12,sK57),cons(sK57,sK9(iPr_def_12,sK57))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22921,c_122]) ).
tcf(c_31152,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_11,sK57))
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ ssList(app(iPr_def_11,cons(X0,X1)))
| ~ strictorderedP(app(app(sK8(iPr_def_11,sK57),cons(sK57,sK9(iPr_def_11,sK57))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22920,c_122]) ).
tcf(c_31153,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_10,sK57))
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ ssList(app(iPr_def_10,cons(X0,X1)))
| ~ strictorderedP(app(app(sK8(iPr_def_10,sK57),cons(sK57,sK9(iPr_def_10,sK57))),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22918,c_122]) ).
tcf(c_31154,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK57,X1)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK57,nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_8903,c_122]) ).
tcf(c_31155,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK60,X1)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK60,nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_8902,c_122]) ).
tcf(c_31156,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK50(sK59),X1)
| ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ ssList(app(app(X0,sK59),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK50(sK59),sK49(sK59))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15483,c_122]) ).
tcf(c_31157,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK50(sK58),X1)
| ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ ssList(app(app(X0,sK58),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK50(sK58),sK49(sK58))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15484,c_122]) ).
tcf(c_31158,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK50(sK56),X1)
| ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ ssList(app(app(X0,sK56),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK50(sK56),sK49(sK56))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15485,c_122]) ).
tcf(c_31159,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK50(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK50(iPr_def_11),sK49(iPr_def_11))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15492,c_122]) ).
tcf(c_31160,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(sK59),X1)
| ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ ssList(app(app(X0,sK59),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(sK59),tl(sK59))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16297,c_122]) ).
tcf(c_31161,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(sK58),X1)
| ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ ssList(app(app(X0,sK58),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(sK58),tl(sK58))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16298,c_122]) ).
tcf(c_31162,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(sK56),X1)
| ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ ssList(app(app(X0,sK56),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(sK56),tl(sK56))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16299,c_122]) ).
tcf(c_31163,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK10(iPr_def_11),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK10(iPr_def_11),nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_17013,c_122]) ).
tcf(c_31164,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK57,nil))) ),
inference(superposition,[status(thm)],[c_8903,c_122]) ).
tcf(c_31165,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK60)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK60,nil))) ),
inference(superposition,[status(thm)],[c_8902,c_122]) ).
tcf(c_31166,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(sK59))
| ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ ssList(app(app(X0,cons(X1,X2)),sK59))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK50(sK59),sK49(sK59)))) ),
inference(superposition,[status(thm)],[c_15483,c_122]) ).
tcf(c_31167,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(sK58))
| ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ ssList(app(app(X0,cons(X1,X2)),sK58))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK50(sK58),sK49(sK58)))) ),
inference(superposition,[status(thm)],[c_15484,c_122]) ).
tcf(c_31168,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(sK56))
| ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ ssList(app(app(X0,cons(X1,X2)),sK56))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK50(sK56),sK49(sK56)))) ),
inference(superposition,[status(thm)],[c_15485,c_122]) ).
tcf(c_31169,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(iPr_def_11))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK50(iPr_def_11),sK49(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_15492,c_122]) ).
tcf(c_31170,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sK59))
| ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ ssList(app(app(X0,cons(X1,X2)),sK59))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(sK59),tl(sK59)))) ),
inference(superposition,[status(thm)],[c_16297,c_122]) ).
tcf(c_31171,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sK58))
| ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ ssList(app(app(X0,cons(X1,X2)),sK58))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(sK58),tl(sK58)))) ),
inference(superposition,[status(thm)],[c_16298,c_122]) ).
tcf(c_31172,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sK56))
| ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ ssList(app(app(X0,cons(X1,X2)),sK56))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(sK56),tl(sK56)))) ),
inference(superposition,[status(thm)],[c_16299,c_122]) ).
tcf(c_31173,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_11))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK10(iPr_def_11),nil))) ),
inference(superposition,[status(thm)],[c_17013,c_122]) ).
tcf(c_31174,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK60)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_31165,c_8902]) ).
tcf(c_31175,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31174,c_141,c_18252]) ).
tcf(c_31182,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_31164,c_8903]) ).
tcf(c_31183,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31182,c_141,c_8914]) ).
tcf(c_31190,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK60,X1)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,iPr_def_10),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_31155,c_8902]) ).
tcf(c_31191,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK60,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,iPr_def_10),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31190,c_141,c_18252]) ).
tcf(c_31198,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK57,X1)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_31154,c_8903]) ).
tcf(c_31199,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK57,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31198,c_141,c_8914]) ).
tcf(c_31206,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_11))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_31173,c_17013]) ).
tcf(c_31207,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_11))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31206,c_141]) ).
tcf(c_31215,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK10(iPr_def_11),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ strictorderedP(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_31163,c_17013]) ).
tcf(c_31216,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK10(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ strictorderedP(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31215,c_141]) ).
tcf(c_31233,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(iPr_def_11))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_11))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_31169,c_15492]) ).
tcf(c_31242,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK50(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ strictorderedP(app(app(X0,iPr_def_11),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_31159,c_15492]) ).
tcf(c_31251,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_10,sK57))
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ strictorderedP(app(iPr_def_10,cons(X0,X1)))
| ~ ssList(app(iPr_def_10,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_31153,c_22918]) ).
tcf(c_31252,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_10,sK57))
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ strictorderedP(app(iPr_def_10,cons(X0,X1)))
| ~ ssList(app(iPr_def_10,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31251,c_8914]) ).
tcf(c_31260,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_11,sK57))
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ strictorderedP(app(iPr_def_11,cons(X0,X1)))
| ~ ssList(app(iPr_def_11,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_31152,c_22920]) ).
tcf(c_31261,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_11,sK57))
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ strictorderedP(app(iPr_def_11,cons(X0,X1)))
| ~ ssList(app(iPr_def_11,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31260,c_8914]) ).
tcf(c_31269,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_12,sK57))
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ strictorderedP(app(iPr_def_12,cons(X0,X1)))
| ~ ssList(app(iPr_def_12,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_31151,c_22921]) ).
tcf(c_31270,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_12,sK57))
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ strictorderedP(app(iPr_def_12,cons(X0,X1)))
| ~ ssList(app(iPr_def_12,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31269,c_8914]) ).
tcf(c_31278,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(sK56,sK60))
| ~ ssList(sK8(sK56,sK60))
| ~ strictorderedP(app(sK56,cons(X0,X1)))
| ~ ssList(app(sK56,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_31150,c_22922]) ).
tcf(c_31279,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(sK56,sK60))
| ~ ssList(sK8(sK56,sK60))
| ~ strictorderedP(app(sK56,cons(X0,X1)))
| ~ ssList(app(sK56,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31278,c_18252]) ).
tcf(c_31498,plain,
( ( app(app(sK13(iPr_def_10,sK59),sK59),sK14(iPr_def_10,sK59)) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_30351,c_70]) ).
tcf(c_31499,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_30351,c_190]) ).
tcf(c_31500,plain,
( ( sK59 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ segmentP(sK59,iPr_def_10) ),
inference(superposition,[status(thm)],[c_30351,c_191]) ).
tcf(c_31501,plain,
~ segmentP(sK59,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_31500,c_25789,c_18245,c_8916]) ).
tcf(c_31502,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31499,c_18245,c_8916]) ).
tcf(c_31506,plain,
app(app(sK13(iPr_def_10,sK59),sK59),sK14(iPr_def_10,sK59)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_31498,c_18245,c_8916]) ).
tcf(c_31508,plain,
( ( app(app(sK13(iPr_def_12,iPr_def_11),iPr_def_11),sK14(iPr_def_12,iPr_def_11)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_30539,c_70]) ).
tcf(c_31509,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_30539,c_190]) ).
tcf(c_31510,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ segmentP(iPr_def_11,iPr_def_12) ),
inference(superposition,[status(thm)],[c_30539,c_191]) ).
tcf(c_31511,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ segmentP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31510,c_12842,c_12706]) ).
tcf(c_31514,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31509,c_12842,c_12706]) ).
tcf(c_31518,plain,
app(app(sK13(iPr_def_12,iPr_def_11),iPr_def_11),sK14(iPr_def_12,iPr_def_11)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_31508,c_12842,c_12706]) ).
tcf(c_31526,plain,
( segmentP(iPr_def_10,nil)
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_194,c_31502]) ).
tcf(c_31528,plain,
segmentP(iPr_def_10,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_31526,c_8916,c_141]) ).
tcf(c_31529,plain,
( ( app(app(sK13(iPr_def_10,nil),nil),sK14(iPr_def_10,nil)) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_31528,c_70]) ).
tcf(c_31530,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_31528,c_190]) ).
tcf(c_31531,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ segmentP(nil,iPr_def_10) ),
inference(superposition,[status(thm)],[c_31528,c_191]) ).
tcf(c_31532,plain,
~ segmentP(nil,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_31531,c_18255,c_18245,c_141]) ).
tcf(c_31533,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31530,c_18245,c_141]) ).
tcf(c_31537,plain,
app(app(sK13(iPr_def_10,nil),nil),sK14(iPr_def_10,nil)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_31529,c_18245,c_141]) ).
tcf(c_31538,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK14(iPr_def_10,sK59))
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_10,sK59))
| ~ ssList(app(sK13(iPr_def_10,sK59),sK59))
| ~ ssList(app(app(app(sK13(iPr_def_10,sK59),sK59),sK14(iPr_def_10,sK59)),X0)) ),
inference(superposition,[status(thm)],[c_31506,c_67]) ).
tcf(c_31541,plain,
! [X0: $i] :
( memberP(sK14(iPr_def_10,sK59),X0)
| memberP(app(sK13(iPr_def_10,sK59),sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(sK14(iPr_def_10,sK59))
| ~ ssList(app(sK13(iPr_def_10,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_31506,c_167]) ).
tcf(c_31544,plain,
( frontsegP(iPr_def_10,app(sK13(iPr_def_10,sK59),sK59))
| ~ ssList(sK14(iPr_def_10,sK59))
| ~ ssList(app(sK13(iPr_def_10,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_31506,c_382]) ).
tcf(c_31545,plain,
( rearsegP(iPr_def_10,sK14(iPr_def_10,sK59))
| ~ ssList(sK14(iPr_def_10,sK59))
| ~ ssList(app(sK13(iPr_def_10,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_31506,c_379]) ).
tcf(c_31547,plain,
! [X0: $i] :
( ( app(sK13(iPr_def_10,sK59),sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_10,sK59))
| ~ ssList(app(sK13(iPr_def_10,sK59),sK59))
| ( app(X0,sK14(iPr_def_10,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_31506,c_225]) ).
tcf(c_31549,plain,
! [X0: $i] :
( ( sK14(iPr_def_10,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_10,sK59))
| ~ ssList(app(sK13(iPr_def_10,sK59),sK59))
| ( app(app(sK13(iPr_def_10,sK59),sK59),X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_31506,c_226]) ).
tcf(c_31550,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_10,sK59))
| ~ ssList(app(sK13(iPr_def_10,sK59),sK59))
| ~ frontsegP(app(sK13(iPr_def_10,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_31506,c_176]) ).
tcf(c_31551,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(iPr_def_10,sK59))
| ~ ssList(app(sK13(iPr_def_10,sK59),sK59))
| ~ memberP(app(sK13(iPr_def_10,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_31506,c_165]) ).
tcf(c_31552,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_10,sK59))
| ~ segmentP(sK14(iPr_def_10,sK59),X0)
| ~ ssList(app(sK13(iPr_def_10,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_31506,c_193]) ).
tcf(c_31553,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_10,sK59))
| ~ rearsegP(sK14(iPr_def_10,sK59),X0)
| ~ ssList(app(sK13(iPr_def_10,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_31506,c_186]) ).
tcf(c_31554,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(iPr_def_10,sK59))
| ~ memberP(sK14(iPr_def_10,sK59),X0)
| ~ ssList(app(sK13(iPr_def_10,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_31506,c_166]) ).
tcf(c_31555,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK14(iPr_def_10,sK59))
| ~ ssList(sK13(iPr_def_10,sK59)) ),
inference(superposition,[status(thm)],[c_31506,c_193]) ).
tcf(c_31605,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK14(iPr_def_10,sK59))
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_10,sK59))
| ~ ssList(app(iPr_def_10,X0))
| ~ ssList(app(sK13(iPr_def_10,sK59),sK59)) ),
inference(light_normalisation,[status(thm)],[c_31538,c_31506]) ).
tcf(c_31625,plain,
( ( sK11(nil,nil) = sK58 )
| ~ ssList(sK11(nil,nil))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_17811,c_25924]) ).
tcf(c_31635,plain,
( ( sK11(sK59,nil) = sK58 )
| ~ ssList(sK11(sK59,nil))
| ( sK58 != sK59 ) ),
inference(superposition,[status(thm)],[c_17817,c_25924]) ).
tcf(c_31636,plain,
( ( sK11(sK58,nil) = sK58 )
| ~ ssList(sK11(sK58,nil)) ),
inference(superposition,[status(thm)],[c_17816,c_25924]) ).
tcf(c_31637,plain,
( ( sK11(sK56,nil) = sK58 )
| ~ ssList(sK11(sK56,nil))
| ( sK58 != sK56 ) ),
inference(superposition,[status(thm)],[c_17815,c_25924]) ).
tcf(c_31658,plain,
( ( sK11(nil,nil) = sK59 )
| ~ ssList(sK11(nil,nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_17811,c_25928]) ).
tcf(c_31668,plain,
( ( sK11(sK59,nil) = sK59 )
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_17817,c_25928]) ).
tcf(c_31669,plain,
( ( sK11(sK58,nil) = sK59 )
| ~ ssList(sK11(sK58,nil))
| ( sK58 != sK59 ) ),
inference(superposition,[status(thm)],[c_17816,c_25928]) ).
tcf(c_31670,plain,
( ( sK11(sK56,nil) = sK59 )
| ~ ssList(sK11(sK56,nil))
| ( sK59 != sK56 ) ),
inference(superposition,[status(thm)],[c_17815,c_25928]) ).
tcf(c_31671,plain,
( ( sK11(iPr_def_12,nil) = sK59 )
| ~ ssList(sK11(iPr_def_12,nil))
| ( sK59 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_17814,c_25928]) ).
tcf(c_31694,plain,
( ( nil = sK59 )
| ~ ssList(nil)
| ( iPr_def_10 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12869,c_25940]) ).
tcf(c_31695,plain,
( ( sK11(iPr_def_12,iPr_def_12) = sK59 )
| ~ ssList(sK11(iPr_def_12,iPr_def_12))
| ( iPr_def_10 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_17805,c_25940]) ).
tcf(c_31696,plain,
( ( nil = sK59 )
| ( iPr_def_10 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31694,c_141]) ).
tcf(c_31710,plain,
( ( sK11(iPr_def_12,sK58) = iPr_def_11 )
| ~ ssList(sK11(iPr_def_12,sK58)) ),
inference(superposition,[status(thm)],[c_17820,c_25944]) ).
tcf(c_31715,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),sK11(iPr_def_11,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,nil))
| ~ ssList(app(app(nil,sK11(iPr_def_11,nil)),X0)) ),
inference(superposition,[status(thm)],[c_17818,c_67]) ).
tcf(c_31718,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(iPr_def_11,nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(sK11(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_17818,c_167]) ).
tcf(c_31722,plain,
( rearsegP(iPr_def_11,sK11(iPr_def_11,nil))
| ~ ssList(nil)
| ~ ssList(sK11(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_17818,c_379]) ).
tcf(c_31724,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,nil))
| ( app(X0,sK11(iPr_def_11,nil)) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_17818,c_225]) ).
tcf(c_31725,plain,
( ( sK11(iPr_def_11,nil) = sK59 )
| ~ ssList(sK11(iPr_def_11,nil))
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_17818,c_25928]) ).
tcf(c_31726,plain,
( ( sK11(iPr_def_11,nil) = sK58 )
| ~ ssList(sK11(iPr_def_11,nil))
| ( sK58 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_17818,c_25924]) ).
tcf(c_31727,plain,
( ( sK11(iPr_def_11,nil) = sK56 )
| ~ ssList(sK11(iPr_def_11,nil))
| ( sK56 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_17818,c_25920]) ).
tcf(c_31728,plain,
! [X0: $i] :
( ( sK11(iPr_def_11,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,nil))
| ( app(nil,X0) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_17818,c_226]) ).
tcf(c_31729,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_17818,c_176]) ).
tcf(c_31731,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,nil))
| ~ segmentP(sK11(iPr_def_11,nil),X0) ),
inference(superposition,[status(thm)],[c_17818,c_193]) ).
tcf(c_31732,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,nil))
| ~ rearsegP(sK11(iPr_def_11,nil),X0) ),
inference(superposition,[status(thm)],[c_17818,c_186]) ).
tcf(c_31733,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_11,nil))
| ~ memberP(sK11(iPr_def_11,nil),X0) ),
inference(superposition,[status(thm)],[c_17818,c_166]) ).
tcf(c_31734,plain,
( rearsegP(iPr_def_11,sK11(iPr_def_11,nil))
| ~ ssList(sK11(iPr_def_11,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31722,c_141]) ).
tcf(c_31747,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_11,nil))
| ~ memberP(sK11(iPr_def_11,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31733,c_141]) ).
tcf(c_31752,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,nil))
| ~ rearsegP(sK11(iPr_def_11,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31732,c_141]) ).
tcf(c_31757,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(iPr_def_11,nil),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(sK11(iPr_def_11,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31718,c_141]) ).
tcf(c_31763,plain,
! [X0: $i] :
( ( sK11(iPr_def_11,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,nil))
| ( app(nil,X0) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31728,c_141]) ).
tcf(c_31768,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,nil))
| ( app(X0,sK11(iPr_def_11,nil)) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31724,c_141]) ).
tcf(c_31773,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,nil))
| ~ segmentP(sK11(iPr_def_11,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31731,c_141]) ).
tcf(c_31779,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),sK11(iPr_def_11,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,nil))
| ~ ssList(app(iPr_def_11,X0)) ),
inference(light_normalisation,[status(thm)],[c_31715,c_17818]) ).
tcf(c_31780,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),sK11(iPr_def_11,nil))
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,nil))
| ~ ssList(app(iPr_def_11,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31779,c_141]) ).
tcf(c_31792,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_12))
| ~ ssList(app(app(sK12(iPr_def_12,iPr_def_12),iPr_def_12),X0)) ),
inference(superposition,[status(thm)],[c_18298,c_67]) ).
tcf(c_31798,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_12,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(sK12(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_18298,c_382]) ).
tcf(c_31801,plain,
! [X0: $i] :
( ( sK12(iPr_def_12,iPr_def_12) = X0 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_12))
| ( app(X0,iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_18298,c_225]) ).
tcf(c_31802,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_12))
| ( app(sK12(iPr_def_12,iPr_def_12),X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_18298,c_226]) ).
tcf(c_31803,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_12))
| ~ frontsegP(sK12(iPr_def_12,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_18298,c_176]) ).
tcf(c_31804,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_12))
| ~ memberP(sK12(iPr_def_12,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_18298,c_165]) ).
tcf(c_31805,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(sK12(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_18298,c_193]) ).
tcf(c_31808,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_12,iPr_def_12))
| ~ ssList(sK12(iPr_def_12,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31798,c_12842]) ).
tcf(c_31811,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_12))
| ~ memberP(sK12(iPr_def_12,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31804,c_12842]) ).
tcf(c_31816,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_12))
| ~ frontsegP(sK12(iPr_def_12,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31803,c_12842]) ).
tcf(c_31822,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_12))
| ( app(sK12(iPr_def_12,iPr_def_12),X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31802,c_12842]) ).
tcf(c_31827,plain,
! [X0: $i] :
( ( sK12(iPr_def_12,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_12))
| ( app(X0,iPr_def_12) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31801,c_12842]) ).
tcf(c_31832,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_12))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(light_normalisation,[status(thm)],[c_31792,c_18298]) ).
tcf(c_31833,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_12))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31832,c_12842]) ).
tcf(c_31987,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_11))
| ~ ssList(app(app(sK12(iPr_def_11,iPr_def_11),iPr_def_11),X0)) ),
inference(superposition,[status(thm)],[c_18302,c_67]) ).
tcf(c_31993,plain,
( frontsegP(iPr_def_11,sK12(iPr_def_11,iPr_def_11))
| ~ ssList(iPr_def_11)
| ~ ssList(sK12(iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_18302,c_382]) ).
tcf(c_31996,plain,
! [X0: $i] :
( ( sK12(iPr_def_11,iPr_def_11) = X0 )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_11))
| ( app(X0,iPr_def_11) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_18302,c_225]) ).
tcf(c_31997,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_11))
| ( app(sK12(iPr_def_11,iPr_def_11),X0) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_18302,c_226]) ).
tcf(c_31998,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_11))
| ~ frontsegP(sK12(iPr_def_11,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_18302,c_176]) ).
tcf(c_31999,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_11))
| ~ memberP(sK12(iPr_def_11,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_18302,c_165]) ).
tcf(c_32000,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X1),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_18302,c_193]) ).
tcf(c_32003,plain,
( ( sK12(iPr_def_11,iPr_def_11) = sK58 )
| ~ ssList(sK12(iPr_def_11,iPr_def_11))
| ( iPr_def_11 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_18302,c_25227]) ).
tcf(c_32005,plain,
( frontsegP(iPr_def_11,sK12(iPr_def_11,iPr_def_11))
| ~ ssList(sK12(iPr_def_11,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31993,c_12706]) ).
tcf(c_32011,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_11))
| ~ memberP(sK12(iPr_def_11,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31999,c_12706]) ).
tcf(c_32016,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_11))
| ~ frontsegP(sK12(iPr_def_11,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31998,c_12706]) ).
tcf(c_32022,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_11))
| ( app(sK12(iPr_def_11,iPr_def_11),X0) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31997,c_12706]) ).
tcf(c_32027,plain,
! [X0: $i] :
( ( sK12(iPr_def_11,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_11))
| ( app(X0,iPr_def_11) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31996,c_12706]) ).
tcf(c_32032,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_11))
| ~ ssList(app(iPr_def_11,X0)) ),
inference(light_normalisation,[status(thm)],[c_31987,c_18302]) ).
tcf(c_32033,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,iPr_def_11))
| ~ ssList(app(iPr_def_11,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32032,c_12706]) ).
tcf(c_32041,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ~ ssList(app(app(sK12(nil,nil),nil),X0)) ),
inference(superposition,[status(thm)],[c_18303,c_67]) ).
tcf(c_32045,plain,
( ( sK12(nil,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_18303,c_231]) ).
tcf(c_32047,plain,
( frontsegP(nil,sK12(nil,nil))
| ~ ssList(nil)
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_18303,c_382]) ).
tcf(c_32050,plain,
! [X0: $i] :
( ( sK12(nil,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ( app(X0,nil) != nil ) ),
inference(superposition,[status(thm)],[c_18303,c_225]) ).
tcf(c_32051,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ( app(sK12(nil,nil),X0) != nil ) ),
inference(superposition,[status(thm)],[c_18303,c_226]) ).
tcf(c_32052,plain,
! [X0: $i] :
( frontsegP(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ~ frontsegP(sK12(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_18303,c_176]) ).
tcf(c_32053,plain,
! [X0: $i] :
( memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(nil,nil))
| ~ memberP(sK12(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_18303,c_165]) ).
tcf(c_32054,plain,
! [X0: $i,X1: $i] :
( segmentP(app(nil,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_18303,c_193]) ).
tcf(c_32057,plain,
( ( sK12(nil,nil) = sK59 )
| ~ ssList(sK12(nil,nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_18303,c_25199]) ).
tcf(c_32058,plain,
( ( sK12(nil,nil) = sK58 )
| ~ ssList(sK12(nil,nil))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_18303,c_25195]) ).
tcf(c_32059,plain,
( ( sK12(nil,nil) = sK56 )
| ~ ssList(sK12(nil,nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_18303,c_25191]) ).
tcf(c_32060,plain,
( frontsegP(nil,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32047,c_141]) ).
tcf(c_32063,plain,
( ( sK12(nil,nil) = nil )
| ~ ssList(sK12(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32045,c_141]) ).
tcf(c_32075,plain,
! [X0: $i] :
( memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(nil,nil))
| ~ memberP(sK12(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32053,c_141]) ).
tcf(c_32080,plain,
! [X0: $i] :
( frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ~ frontsegP(sK12(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32052,c_141]) ).
tcf(c_32086,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ( app(sK12(nil,nil),X0) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32051,c_141]) ).
tcf(c_32091,plain,
! [X0: $i] :
( ( sK12(nil,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ( app(X0,nil) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32050,c_141]) ).
tcf(c_32096,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ~ ssList(app(nil,X0)) ),
inference(light_normalisation,[status(thm)],[c_32041,c_18303]) ).
tcf(c_32097,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(X0)
| ~ ssList(sK12(nil,nil))
| ~ ssList(app(nil,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32096,c_141]) ).
tcf(c_32136,plain,
( frontsegP(nil,sK49(sK59))
| ( nil = sK59 )
| ~ frontsegP(iPr_def_11,sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_15483,c_26657]) ).
tcf(c_32137,plain,
( frontsegP(nil,sK49(sK58))
| ( nil = sK58 )
| ~ frontsegP(iPr_def_11,sK58)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58)) ),
inference(superposition,[status(thm)],[c_15484,c_26657]) ).
tcf(c_32138,plain,
( frontsegP(nil,sK49(sK56))
| ( nil = sK56 )
| ~ frontsegP(iPr_def_11,sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_15485,c_26657]) ).
tcf(c_32139,plain,
( frontsegP(nil,sK49(iPr_def_11))
| ~ frontsegP(iPr_def_11,iPr_def_11)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15492,c_26657]) ).
tcf(c_32140,plain,
( frontsegP(nil,tl(sK59))
| ( nil = sK59 )
| ~ frontsegP(iPr_def_11,sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_16297,c_26657]) ).
tcf(c_32141,plain,
( frontsegP(nil,tl(sK58))
| ( nil = sK58 )
| ~ frontsegP(iPr_def_11,sK58)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58)) ),
inference(superposition,[status(thm)],[c_16298,c_26657]) ).
tcf(c_32142,plain,
( frontsegP(nil,tl(sK56))
| ( nil = sK56 )
| ~ frontsegP(iPr_def_11,sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_16299,c_26657]) ).
tcf(c_32144,plain,
( frontsegP(nil,sK49(iPr_def_11))
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32139,c_13612]) ).
tcf(c_32186,plain,
! [X0: $i] :
( segmentP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_12634,c_26847]) ).
tcf(c_32188,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(sK56,X0),X1),X1),sK14(app(sK56,X0),X1)) = app(sK56,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X1)
| ~ ssList(app(sK56,X0)) ),
inference(superposition,[status(thm)],[c_26847,c_70]) ).
tcf(c_32189,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(sK56,X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(sK56,X0)) ),
inference(superposition,[status(thm)],[c_26847,c_190]) ).
tcf(c_32190,plain,
! [X0: $i,X1: $i] :
( ( app(sK56,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(app(sK56,X1))
| ~ segmentP(X0,app(sK56,X1)) ),
inference(superposition,[status(thm)],[c_26847,c_191]) ).
tcf(c_32191,plain,
! [X0: $i] :
( segmentP(sK56,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32186,c_141]) ).
tcf(c_32237,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_8904,c_26852]) ).
tcf(c_32238,plain,
! [X0: $i] :
( segmentP(sK58,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_12633,c_26852]) ).
tcf(c_32241,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(sK58,X0),X1),X1),sK14(app(sK58,X0),X1)) = app(sK58,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X1)
| ~ ssList(app(sK58,X0)) ),
inference(superposition,[status(thm)],[c_26852,c_70]) ).
tcf(c_32242,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(sK58,X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(sK58,X0)) ),
inference(superposition,[status(thm)],[c_26852,c_190]) ).
tcf(c_32243,plain,
! [X0: $i,X1: $i] :
( ( app(sK58,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(app(sK58,X1))
| ~ segmentP(X0,app(sK58,X1)) ),
inference(superposition,[status(thm)],[c_26852,c_191]) ).
tcf(c_32244,plain,
! [X0: $i] :
( segmentP(sK58,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32238,c_141]) ).
tcf(c_32309,plain,
! [X0: $i] :
( segmentP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_12632,c_26857]) ).
tcf(c_32311,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(sK59,X0),X1),X1),sK14(app(sK59,X0),X1)) = app(sK59,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X1)
| ~ ssList(app(sK59,X0)) ),
inference(superposition,[status(thm)],[c_26857,c_70]) ).
tcf(c_32312,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(sK59,X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(sK59,X0)) ),
inference(superposition,[status(thm)],[c_26857,c_190]) ).
tcf(c_32313,plain,
! [X0: $i,X1: $i] :
( ( app(sK59,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(app(sK59,X1))
| ~ segmentP(X0,app(sK59,X1)) ),
inference(superposition,[status(thm)],[c_26857,c_191]) ).
tcf(c_32314,plain,
! [X0: $i] :
( segmentP(sK59,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32309,c_141]) ).
tcf(c_32350,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(sK56,X0),X1),X1),sK14(app(sK56,X0),X1)) = app(sK56,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X1)
| ~ ssList(app(sK56,X0)) ),
inference(superposition,[status(thm)],[c_26862,c_70]) ).
tcf(c_32351,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(sK56,X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(sK56,X0)) ),
inference(superposition,[status(thm)],[c_26862,c_190]) ).
tcf(c_32352,plain,
! [X0: $i,X1: $i] :
( ( app(sK56,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK56,X1))
| ~ segmentP(X0,app(sK56,X1)) ),
inference(superposition,[status(thm)],[c_26862,c_191]) ).
tcf(c_32381,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_8904,c_26867]) ).
tcf(c_32385,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(sK58,X0),X1),X1),sK14(app(sK58,X0),X1)) = app(sK58,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X1)
| ~ ssList(app(sK58,X0)) ),
inference(superposition,[status(thm)],[c_26867,c_70]) ).
tcf(c_32386,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(sK58,X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(sK58,X0)) ),
inference(superposition,[status(thm)],[c_26867,c_190]) ).
tcf(c_32387,plain,
! [X0: $i,X1: $i] :
( ( app(sK58,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK58,X1))
| ~ segmentP(X0,app(sK58,X1)) ),
inference(superposition,[status(thm)],[c_26867,c_191]) ).
tcf(c_32419,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(sK59,X0),X1),X1),sK14(app(sK59,X0),X1)) = app(sK59,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X1)
| ~ ssList(app(sK59,X0)) ),
inference(superposition,[status(thm)],[c_26872,c_70]) ).
tcf(c_32420,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(sK59,X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(sK59,X0)) ),
inference(superposition,[status(thm)],[c_26872,c_190]) ).
tcf(c_32421,plain,
! [X0: $i,X1: $i] :
( ( app(sK59,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK59,X1))
| ~ segmentP(X0,app(sK59,X1)) ),
inference(superposition,[status(thm)],[c_26872,c_191]) ).
tcf(c_32450,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_18244,c_26887]) ).
tcf(c_32451,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(iPr_def_10,X0),X1),X1),sK14(app(iPr_def_10,X0),X1)) = app(iPr_def_10,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X1)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_26887,c_70]) ).
tcf(c_32452,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(iPr_def_10,X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_26887,c_190]) ).
tcf(c_32453,plain,
! [X0: $i,X1: $i] :
( ( app(iPr_def_10,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(iPr_def_10,X1))
| ~ segmentP(X0,app(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_26887,c_191]) ).
tcf(c_32481,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,nil))
| ~ ssList(app(app(sK12(iPr_def_12,nil),nil),X0)) ),
inference(superposition,[status(thm)],[c_18306,c_67]) ).
tcf(c_32484,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(iPr_def_12,nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_18306,c_167]) ).
tcf(c_32487,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_12,nil))
| ~ ssList(nil)
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_18306,c_382]) ).
tcf(c_32490,plain,
! [X0: $i] :
( ( sK12(iPr_def_12,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,nil))
| ( app(X0,nil) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_18306,c_225]) ).
tcf(c_32491,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,nil))
| ( app(sK12(iPr_def_12,nil),X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_18306,c_226]) ).
tcf(c_32492,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,nil))
| ~ frontsegP(sK12(iPr_def_12,nil),X0) ),
inference(superposition,[status(thm)],[c_18306,c_176]) ).
tcf(c_32493,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_12,nil))
| ~ memberP(sK12(iPr_def_12,nil),X0) ),
inference(superposition,[status(thm)],[c_18306,c_165]) ).
tcf(c_32494,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_18306,c_193]) ).
tcf(c_32495,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_18306,c_186]) ).
tcf(c_32497,plain,
( ( sK12(iPr_def_12,nil) = sK59 )
| ~ ssList(sK12(iPr_def_12,nil))
| ( sK59 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_18306,c_25199]) ).
tcf(c_32499,plain,
( ( sK12(iPr_def_12,nil) = sK56 )
| ~ ssList(sK12(iPr_def_12,nil))
| ( sK56 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_18306,c_25191]) ).
tcf(c_32500,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_12,nil))
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32487,c_141]) ).
tcf(c_32510,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_12,nil))
| ~ memberP(sK12(iPr_def_12,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32493,c_141]) ).
tcf(c_32515,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,nil))
| ~ frontsegP(sK12(iPr_def_12,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32492,c_141]) ).
tcf(c_32521,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(iPr_def_12,nil),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32484,c_141]) ).
tcf(c_32527,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,nil))
| ( app(sK12(iPr_def_12,nil),X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32491,c_141]) ).
tcf(c_32532,plain,
! [X0: $i] :
( ( sK12(iPr_def_12,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,nil))
| ( app(X0,nil) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32490,c_141]) ).
tcf(c_32537,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,nil))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(light_normalisation,[status(thm)],[c_32481,c_18306]) ).
tcf(c_32538,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,nil))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32537,c_141]) ).
tcf(c_32576,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,nil))
| ~ ssList(app(app(sK12(iPr_def_11,nil),nil),X0)) ),
inference(superposition,[status(thm)],[c_18307,c_67]) ).
tcf(c_32579,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(iPr_def_11,nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_18307,c_167]) ).
tcf(c_32582,plain,
( frontsegP(iPr_def_11,sK12(iPr_def_11,nil))
| ~ ssList(nil)
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_18307,c_382]) ).
tcf(c_32585,plain,
! [X0: $i] :
( ( sK12(iPr_def_11,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,nil))
| ( app(X0,nil) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_18307,c_225]) ).
tcf(c_32586,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,nil))
| ( app(sK12(iPr_def_11,nil),X0) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_18307,c_226]) ).
tcf(c_32587,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,nil))
| ~ frontsegP(sK12(iPr_def_11,nil),X0) ),
inference(superposition,[status(thm)],[c_18307,c_176]) ).
tcf(c_32588,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_11,nil))
| ~ memberP(sK12(iPr_def_11,nil),X0) ),
inference(superposition,[status(thm)],[c_18307,c_165]) ).
tcf(c_32589,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_11,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_18307,c_193]) ).
tcf(c_32590,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_18307,c_186]) ).
tcf(c_32592,plain,
( ( sK12(iPr_def_11,nil) = sK59 )
| ~ ssList(sK12(iPr_def_11,nil))
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_18307,c_25199]) ).
tcf(c_32593,plain,
( ( sK12(iPr_def_11,nil) = sK58 )
| ~ ssList(sK12(iPr_def_11,nil))
| ( sK58 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_18307,c_25195]) ).
tcf(c_32594,plain,
( ( sK12(iPr_def_11,nil) = sK56 )
| ~ ssList(sK12(iPr_def_11,nil))
| ( sK56 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_18307,c_25191]) ).
tcf(c_32595,plain,
( frontsegP(iPr_def_11,sK12(iPr_def_11,nil))
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32582,c_141]) ).
tcf(c_32608,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_11,nil))
| ~ memberP(sK12(iPr_def_11,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32588,c_141]) ).
tcf(c_32613,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,nil))
| ~ frontsegP(sK12(iPr_def_11,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32587,c_141]) ).
tcf(c_32619,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(iPr_def_11,nil),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32579,c_141]) ).
tcf(c_32625,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,nil))
| ( app(sK12(iPr_def_11,nil),X0) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32586,c_141]) ).
tcf(c_32630,plain,
! [X0: $i] :
( ( sK12(iPr_def_11,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,nil))
| ( app(X0,nil) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32585,c_141]) ).
tcf(c_32635,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,nil))
| ~ ssList(app(iPr_def_11,X0)) ),
inference(light_normalisation,[status(thm)],[c_32576,c_18307]) ).
tcf(c_32636,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,nil))
| ~ ssList(app(iPr_def_11,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32635,c_141]) ).
tcf(c_32644,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_11))
| ~ ssList(app(app(sK12(iPr_def_12,iPr_def_11),iPr_def_11),X0)) ),
inference(superposition,[status(thm)],[c_18311,c_67]) ).
tcf(c_32647,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK12(iPr_def_12,iPr_def_11),X0)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_18311,c_167]) ).
tcf(c_32650,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_12,iPr_def_11))
| ~ ssList(iPr_def_11)
| ~ ssList(sK12(iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_18311,c_382]) ).
tcf(c_32653,plain,
! [X0: $i] :
( ( sK12(iPr_def_12,iPr_def_11) = X0 )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_11))
| ( app(X0,iPr_def_11) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_18311,c_225]) ).
tcf(c_32654,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_11))
| ( app(sK12(iPr_def_12,iPr_def_11),X0) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_18311,c_226]) ).
tcf(c_32655,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_11))
| ~ frontsegP(sK12(iPr_def_12,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_18311,c_176]) ).
tcf(c_32656,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_11))
| ~ memberP(sK12(iPr_def_12,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_18311,c_165]) ).
tcf(c_32657,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_18311,c_193]) ).
tcf(c_32658,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_11,X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_18311,c_186]) ).
tcf(c_32659,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_18311,c_166]) ).
tcf(c_32660,plain,
( ( sK12(iPr_def_12,iPr_def_11) = sK58 )
| ~ ssList(sK12(iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_18311,c_25227]) ).
tcf(c_32664,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_12,iPr_def_11))
| ~ ssList(sK12(iPr_def_12,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32650,c_12706]) ).
tcf(c_32669,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_11))
| ~ memberP(sK12(iPr_def_12,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32656,c_12706]) ).
tcf(c_32674,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_11))
| ~ frontsegP(sK12(iPr_def_12,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32655,c_12706]) ).
tcf(c_32680,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK12(iPr_def_12,iPr_def_11),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32647,c_12706]) ).
tcf(c_32686,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_11))
| ( app(sK12(iPr_def_12,iPr_def_11),X0) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32654,c_12706]) ).
tcf(c_32691,plain,
! [X0: $i] :
( ( sK12(iPr_def_12,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_11))
| ( app(X0,iPr_def_11) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32653,c_12706]) ).
tcf(c_32696,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_11))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(light_normalisation,[status(thm)],[c_32644,c_18311]) ).
tcf(c_32697,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_11))
| ~ ssList(app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32696,c_12706]) ).
tcf(c_32764,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK11(iPr_def_10,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,nil))
| ~ ssList(app(app(nil,sK11(iPr_def_10,nil)),X0)) ),
inference(superposition,[status(thm)],[c_18966,c_67]) ).
tcf(c_32767,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(iPr_def_10,nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_18966,c_167]) ).
tcf(c_32771,plain,
( rearsegP(iPr_def_10,sK11(iPr_def_10,nil))
| ~ ssList(nil)
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_18966,c_379]) ).
tcf(c_32773,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,nil))
| ( app(X0,sK11(iPr_def_10,nil)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18966,c_225]) ).
tcf(c_32775,plain,
( ( sK11(iPr_def_10,nil) = sK58 )
| ~ ssList(sK11(iPr_def_10,nil))
| ( sK58 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18966,c_25924]) ).
tcf(c_32776,plain,
( ( sK11(iPr_def_10,nil) = sK56 )
| ~ ssList(sK11(iPr_def_10,nil))
| ( sK56 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18966,c_25920]) ).
tcf(c_32777,plain,
! [X0: $i] :
( ( sK11(iPr_def_10,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,nil))
| ( app(nil,X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18966,c_226]) ).
tcf(c_32778,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_18966,c_176]) ).
tcf(c_32780,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,nil))
| ~ segmentP(sK11(iPr_def_10,nil),X0) ),
inference(superposition,[status(thm)],[c_18966,c_193]) ).
tcf(c_32781,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,nil))
| ~ rearsegP(sK11(iPr_def_10,nil),X0) ),
inference(superposition,[status(thm)],[c_18966,c_186]) ).
tcf(c_32782,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_10,nil))
| ~ memberP(sK11(iPr_def_10,nil),X0) ),
inference(superposition,[status(thm)],[c_18966,c_166]) ).
tcf(c_32783,plain,
( rearsegP(iPr_def_10,sK11(iPr_def_10,nil))
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32771,c_141]) ).
tcf(c_32793,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_10,nil))
| ~ memberP(sK11(iPr_def_10,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32782,c_141]) ).
tcf(c_32798,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,nil))
| ~ rearsegP(sK11(iPr_def_10,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32781,c_141]) ).
tcf(c_32803,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(iPr_def_10,nil),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32767,c_141]) ).
tcf(c_32809,plain,
! [X0: $i] :
( ( sK11(iPr_def_10,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,nil))
| ( app(nil,X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32777,c_141]) ).
tcf(c_32814,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,nil))
| ( app(X0,sK11(iPr_def_10,nil)) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32773,c_141]) ).
tcf(c_32819,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,nil))
| ~ segmentP(sK11(iPr_def_10,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32780,c_141]) ).
tcf(c_32825,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK11(iPr_def_10,nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,nil))
| ~ ssList(app(iPr_def_10,X0)) ),
inference(light_normalisation,[status(thm)],[c_32764,c_18966]) ).
tcf(c_32826,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK11(iPr_def_10,nil))
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,nil))
| ~ ssList(app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32825,c_141]) ).
tcf(c_32954,plain,
~ frontsegP(nil,iPr_def_10),
inference(global_subsumption_just,[status(thm)],[c_18967,c_13772,c_18252,c_18967]) ).
tcf(c_32956,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK11(iPr_def_10,iPr_def_10))
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ~ ssList(app(app(iPr_def_10,sK11(iPr_def_10,iPr_def_10)),X0)) ),
inference(superposition,[status(thm)],[c_19463,c_67]) ).
tcf(c_32963,plain,
( rearsegP(iPr_def_10,sK11(iPr_def_10,iPr_def_10))
| ~ ssList(iPr_def_10)
| ~ ssList(sK11(iPr_def_10,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_19463,c_379]) ).
tcf(c_32965,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ( app(X0,sK11(iPr_def_10,iPr_def_10)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19463,c_225]) ).
tcf(c_32966,plain,
! [X0: $i] :
( ( sK11(iPr_def_10,iPr_def_10) = X0 )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ( app(iPr_def_10,X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19463,c_226]) ).
tcf(c_32969,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ~ segmentP(sK11(iPr_def_10,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_19463,c_193]) ).
tcf(c_32970,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ~ rearsegP(sK11(iPr_def_10,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_19463,c_186]) ).
tcf(c_32971,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ~ memberP(sK11(iPr_def_10,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_19463,c_166]) ).
tcf(c_32974,plain,
( rearsegP(iPr_def_10,sK11(iPr_def_10,iPr_def_10))
| ~ ssList(sK11(iPr_def_10,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32963,c_18245]) ).
tcf(c_32977,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ~ memberP(sK11(iPr_def_10,iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32971,c_18245]) ).
tcf(c_32982,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ~ rearsegP(sK11(iPr_def_10,iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32970,c_18245]) ).
tcf(c_32987,plain,
! [X0: $i] :
( ( sK11(iPr_def_10,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ( app(iPr_def_10,X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32966,c_18245]) ).
tcf(c_32992,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ( app(X0,sK11(iPr_def_10,iPr_def_10)) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32965,c_18245]) ).
tcf(c_32997,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ~ segmentP(sK11(iPr_def_10,iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32969,c_18245]) ).
tcf(c_33003,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK11(iPr_def_10,iPr_def_10))
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ~ ssList(app(iPr_def_10,X0)) ),
inference(light_normalisation,[status(thm)],[c_32956,c_19463]) ).
tcf(c_33004,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK11(iPr_def_10,iPr_def_10))
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ~ ssList(app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33003,c_18245]) ).
tcf(c_33014,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK11(iPr_def_10,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12))
| ~ ssList(app(app(iPr_def_12,sK11(iPr_def_10,iPr_def_12)),X0)) ),
inference(superposition,[status(thm)],[c_19466,c_67]) ).
tcf(c_33017,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(sK11(iPr_def_10,iPr_def_12),X0)
| ~ ssList(iPr_def_12)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_19466,c_167]) ).
tcf(c_33021,plain,
( rearsegP(iPr_def_10,sK11(iPr_def_10,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_10,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_19466,c_379]) ).
tcf(c_33023,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12))
| ( app(X0,sK11(iPr_def_10,iPr_def_12)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19466,c_225]) ).
tcf(c_33024,plain,
! [X0: $i] :
( ( sK11(iPr_def_10,iPr_def_12) = X0 )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12))
| ( app(iPr_def_12,X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19466,c_226]) ).
tcf(c_33025,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_12,X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_19466,c_176]) ).
tcf(c_33026,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(iPr_def_12)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_19466,c_165]) ).
tcf(c_33027,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12))
| ~ segmentP(sK11(iPr_def_10,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_19466,c_193]) ).
tcf(c_33028,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12))
| ~ rearsegP(sK11(iPr_def_10,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_19466,c_186]) ).
tcf(c_33029,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(iPr_def_12)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12))
| ~ memberP(sK11(iPr_def_10,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_19466,c_166]) ).
tcf(c_33030,plain,
( ( sK11(iPr_def_10,iPr_def_12) = sK59 )
| ~ ssList(sK11(iPr_def_10,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_19466,c_25940]) ).
tcf(c_33034,plain,
( rearsegP(iPr_def_10,sK11(iPr_def_10,iPr_def_12))
| ~ ssList(sK11(iPr_def_10,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33021,c_12842]) ).
tcf(c_33039,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12))
| ~ memberP(sK11(iPr_def_10,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33029,c_12842]) ).
tcf(c_33044,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12))
| ~ rearsegP(sK11(iPr_def_10,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33028,c_12842]) ).
tcf(c_33049,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(sK11(iPr_def_10,iPr_def_12),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33017,c_12842]) ).
tcf(c_33055,plain,
! [X0: $i] :
( ( sK11(iPr_def_10,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12))
| ( app(iPr_def_12,X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33024,c_12842]) ).
tcf(c_33060,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12))
| ( app(X0,sK11(iPr_def_10,iPr_def_12)) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33023,c_12842]) ).
tcf(c_33065,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12))
| ~ segmentP(sK11(iPr_def_10,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33027,c_12842]) ).
tcf(c_33071,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK11(iPr_def_10,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12))
| ~ ssList(app(iPr_def_10,X0)) ),
inference(light_normalisation,[status(thm)],[c_33014,c_19466]) ).
tcf(c_33072,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK11(iPr_def_10,iPr_def_12))
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12))
| ~ ssList(app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33071,c_12842]) ).
tcf(c_33091,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_18265,c_26892]) ).
tcf(c_33092,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_12869,c_26892]) ).
tcf(c_33095,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(iPr_def_12,X0),X1),X1),sK14(app(iPr_def_12,X0),X1)) = app(iPr_def_12,X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X1)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_26892,c_70]) ).
tcf(c_33096,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(iPr_def_12,X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_26892,c_190]) ).
tcf(c_33097,plain,
! [X0: $i,X1: $i] :
( ( app(iPr_def_12,X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0)
| ~ ssList(app(iPr_def_12,X1))
| ~ segmentP(X0,app(iPr_def_12,X1)) ),
inference(superposition,[status(thm)],[c_26892,c_191]) ).
tcf(c_33145,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( cons(sK57,tl(sK59)) = nil )
| ( cons(sK57,tl(sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK59)))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,tl(sK59))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_15337,c_223]) ).
tcf(c_33146,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,tl(sK59))))
| ( nil = sK59 )
| ( cons(sK57,tl(sK59)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,tl(sK59)))
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(superposition,[status(thm)],[c_15337,c_212]) ).
tcf(c_33147,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,tl(sK59))))
| ( nil = sK59 )
| ( cons(sK57,tl(sK59)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,tl(sK59)))
| ~ ssList(cons(sK57,tl(sK59))) ),
inference(superposition,[status(thm)],[c_15337,c_206]) ).
tcf(c_33194,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,iPr_def_10))
| ~ ssList(app(app(sK12(iPr_def_10,iPr_def_10),iPr_def_10),X0)) ),
inference(superposition,[status(thm)],[c_19472,c_67]) ).
tcf(c_33200,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_10,iPr_def_10))
| ~ ssList(iPr_def_10)
| ~ ssList(sK12(iPr_def_10,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_19472,c_382]) ).
tcf(c_33203,plain,
! [X0: $i] :
( ( sK12(iPr_def_10,iPr_def_10) = X0 )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,iPr_def_10))
| ( app(X0,iPr_def_10) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19472,c_225]) ).
tcf(c_33204,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,iPr_def_10))
| ( app(sK12(iPr_def_10,iPr_def_10),X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19472,c_226]) ).
tcf(c_33205,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,iPr_def_10))
| ~ frontsegP(sK12(iPr_def_10,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_19472,c_176]) ).
tcf(c_33206,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_10,iPr_def_10))
| ~ memberP(sK12(iPr_def_10,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_19472,c_165]) ).
tcf(c_33207,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0)
| ~ ssList(sK12(iPr_def_10,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_19472,c_193]) ).
tcf(c_33210,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_10,iPr_def_10))
| ~ ssList(sK12(iPr_def_10,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33200,c_18245]) ).
tcf(c_33213,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_10,iPr_def_10))
| ~ memberP(sK12(iPr_def_10,iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33206,c_18245]) ).
tcf(c_33218,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,iPr_def_10))
| ~ frontsegP(sK12(iPr_def_10,iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33205,c_18245]) ).
tcf(c_33224,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,iPr_def_10))
| ( app(sK12(iPr_def_10,iPr_def_10),X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33204,c_18245]) ).
tcf(c_33229,plain,
! [X0: $i] :
( ( sK12(iPr_def_10,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,iPr_def_10))
| ( app(X0,iPr_def_10) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33203,c_18245]) ).
tcf(c_33234,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,iPr_def_10))
| ~ ssList(app(iPr_def_10,X0)) ),
inference(light_normalisation,[status(thm)],[c_33194,c_19472]) ).
tcf(c_33235,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,iPr_def_10))
| ~ ssList(app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33234,c_18245]) ).
tcf(c_33243,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,nil))
| ~ ssList(app(app(sK12(iPr_def_10,nil),nil),X0)) ),
inference(superposition,[status(thm)],[c_19995,c_67]) ).
tcf(c_33246,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(iPr_def_10,nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(sK12(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_19995,c_167]) ).
tcf(c_33249,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_10,nil))
| ~ ssList(nil)
| ~ ssList(sK12(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_19995,c_382]) ).
tcf(c_33252,plain,
! [X0: $i] :
( ( sK12(iPr_def_10,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,nil))
| ( app(X0,nil) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19995,c_225]) ).
tcf(c_33253,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,nil))
| ( app(sK12(iPr_def_10,nil),X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19995,c_226]) ).
tcf(c_33254,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,nil))
| ~ frontsegP(sK12(iPr_def_10,nil),X0) ),
inference(superposition,[status(thm)],[c_19995,c_176]) ).
tcf(c_33255,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_10,nil))
| ~ memberP(sK12(iPr_def_10,nil),X0) ),
inference(superposition,[status(thm)],[c_19995,c_165]) ).
tcf(c_33256,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK12(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_19995,c_193]) ).
tcf(c_33257,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_19995,c_186]) ).
tcf(c_33260,plain,
( ( sK12(iPr_def_10,nil) = sK58 )
| ~ ssList(sK12(iPr_def_10,nil))
| ( sK58 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19995,c_25195]) ).
tcf(c_33261,plain,
( ( sK12(iPr_def_10,nil) = sK56 )
| ~ ssList(sK12(iPr_def_10,nil))
| ( sK56 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19995,c_25191]) ).
tcf(c_33262,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_10,nil))
| ~ ssList(sK12(iPr_def_10,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33249,c_141]) ).
tcf(c_33272,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(iPr_def_10,nil))
| ~ memberP(sK12(iPr_def_10,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33255,c_141]) ).
tcf(c_33277,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,nil))
| ~ frontsegP(sK12(iPr_def_10,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33254,c_141]) ).
tcf(c_33283,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(iPr_def_10,nil),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(sK12(iPr_def_10,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33246,c_141]) ).
tcf(c_33289,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,nil))
| ( app(sK12(iPr_def_10,nil),X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33253,c_141]) ).
tcf(c_33294,plain,
! [X0: $i] :
( ( sK12(iPr_def_10,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,nil))
| ( app(X0,nil) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33252,c_141]) ).
tcf(c_33299,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,nil))
| ~ ssList(app(iPr_def_10,X0)) ),
inference(light_normalisation,[status(thm)],[c_33243,c_19995]) ).
tcf(c_33300,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),nil)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,nil))
| ~ ssList(app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33299,c_141]) ).
tcf(c_33326,plain,
~ rearsegP(nil,iPr_def_10),
inference(global_subsumption_just,[status(thm)],[c_19996,c_13772,c_18252,c_19996]) ).
tcf(c_33330,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,tl(iPr_def_12)) = nil )
| ( cons(sK57,tl(iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(iPr_def_12)))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,tl(iPr_def_12))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_20005,c_223]) ).
tcf(c_33331,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,tl(iPr_def_12))))
| ( cons(sK57,tl(iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,tl(iPr_def_12)))
| ~ ssList(cons(sK57,tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20005,c_212]) ).
tcf(c_33332,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,tl(iPr_def_12))))
| ( cons(sK57,tl(iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,tl(iPr_def_12)))
| ~ ssList(cons(sK57,tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20005,c_206]) ).
tcf(c_33345,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,tl(iPr_def_12)) = nil )
| ( cons(sK57,tl(iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(iPr_def_12)))
| ( tl(X0) != tl(iPr_def_12) )
| ( hd(X0) != sK57 ) ),
inference(light_normalisation,[status(thm)],[c_33330,c_20004]) ).
tcf(c_33355,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_12),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssList(app(app(tl(iPr_def_12),nil),X0)) ),
inference(superposition,[status(thm)],[c_20009,c_67]) ).
tcf(c_33361,plain,
( frontsegP(tl(iPr_def_12),tl(iPr_def_12))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20009,c_382]) ).
tcf(c_33362,plain,
( rearsegP(tl(iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20009,c_379]) ).
tcf(c_33364,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ( app(X0,nil) != tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_20009,c_225]) ).
tcf(c_33365,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ( app(tl(iPr_def_12),X0) != tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_20009,c_226]) ).
tcf(c_33368,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_12),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_20009,c_193]) ).
tcf(c_33369,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_12),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_20009,c_186]) ).
tcf(c_33370,plain,
! [X0: $i] :
( memberP(tl(iPr_def_12),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_12))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_20009,c_166]) ).
tcf(c_33374,plain,
rearsegP(tl(iPr_def_12),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_33362,c_141,c_19014]) ).
tcf(c_33375,plain,
frontsegP(tl(iPr_def_12),tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_33361,c_141,c_19014]) ).
tcf(c_33377,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_12),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33369,c_141,c_19014]) ).
tcf(c_33381,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_12),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33368,c_141,c_19014]) ).
tcf(c_33386,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(tl(iPr_def_12),X0) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33365,c_141,c_19014]) ).
tcf(c_33390,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33364,c_141,c_19014]) ).
tcf(c_33394,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_12),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssList(app(tl(iPr_def_12),X0)) ),
inference(light_normalisation,[status(thm)],[c_33355,c_20009]) ).
tcf(c_33395,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_12),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(tl(iPr_def_12),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33394,c_141,c_19014]) ).
tcf(c_33462,plain,
( ( tl(iPr_def_12) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12))
| ~ rearsegP(nil,tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_33374,c_184]) ).
tcf(c_33463,plain,
( ( app(sK12(tl(iPr_def_12),nil),nil) = tl(iPr_def_12) )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_33374,c_66]) ).
tcf(c_33464,plain,
app(sK12(tl(iPr_def_12),nil),nil) = tl(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_33463,c_141,c_19014]) ).
tcf(c_33465,plain,
( ( tl(iPr_def_12) = nil )
| ~ rearsegP(nil,tl(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33462,c_141,c_19014]) ).
tcf(c_33470,plain,
( ( app(tl(iPr_def_12),sK11(tl(iPr_def_12),tl(iPr_def_12))) = tl(iPr_def_12) )
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_33375,c_63]) ).
tcf(c_33471,plain,
app(tl(iPr_def_12),sK11(tl(iPr_def_12),tl(iPr_def_12))) = tl(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_33470,c_19014]) ).
tcf(c_33494,plain,
( ( sK57 = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8902,c_27471]) ).
tcf(c_33495,plain,
( ( nil = sK59 )
| ( sK50(sK59) = sK57 )
| ~ frontsegP(sK59,iPr_def_11)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_15483,c_27471]) ).
tcf(c_33496,plain,
( ( nil = sK58 )
| ( sK50(sK58) = sK57 )
| ~ frontsegP(sK58,iPr_def_11)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58)) ),
inference(superposition,[status(thm)],[c_15484,c_27471]) ).
tcf(c_33497,plain,
( ( nil = sK56 )
| ( sK50(sK56) = sK57 )
| ~ frontsegP(sK56,iPr_def_11)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_15485,c_27471]) ).
tcf(c_33498,plain,
( ( sK50(iPr_def_11) = sK57 )
| ~ frontsegP(iPr_def_11,iPr_def_11)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15492,c_27471]) ).
tcf(c_33499,plain,
( ( nil = sK59 )
| ( hd(sK59) = sK57 )
| ~ frontsegP(sK59,iPr_def_11)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_16297,c_27471]) ).
tcf(c_33500,plain,
( ( nil = sK58 )
| ( hd(sK58) = sK57 )
| ~ frontsegP(sK58,iPr_def_11)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58)) ),
inference(superposition,[status(thm)],[c_16298,c_27471]) ).
tcf(c_33501,plain,
( ( nil = sK56 )
| ( hd(sK56) = sK57 )
| ~ frontsegP(sK56,iPr_def_11)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_16299,c_27471]) ).
tcf(c_33502,plain,
( ( sK10(iPr_def_11) = sK57 )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_11,iPr_def_11)
| ~ ssItem(sK10(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_17013,c_27471]) ).
tcf(c_33503,plain,
( ( sK57 = sK60 )
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33494,c_141,c_18252]) ).
tcf(c_33506,plain,
( ( sK10(iPr_def_11) = sK57 )
| ~ ssItem(sK10(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33502,c_141,c_13612]) ).
tcf(c_33509,plain,
( ( sK50(iPr_def_11) = sK57 )
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33498,c_13612]) ).
tcf(c_33587,plain,
( ( sK57 = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ frontsegP(iPr_def_11,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8902,c_27481]) ).
tcf(c_33588,plain,
( ( nil = sK59 )
| ( sK50(sK59) = sK57 )
| ~ frontsegP(iPr_def_11,sK59)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59)) ),
inference(superposition,[status(thm)],[c_15483,c_27481]) ).
tcf(c_33589,plain,
( ( nil = sK58 )
| ( sK50(sK58) = sK57 )
| ~ frontsegP(iPr_def_11,sK58)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58)) ),
inference(superposition,[status(thm)],[c_15484,c_27481]) ).
tcf(c_33590,plain,
( ( nil = sK56 )
| ( sK50(sK56) = sK57 )
| ~ frontsegP(iPr_def_11,sK56)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56)) ),
inference(superposition,[status(thm)],[c_15485,c_27481]) ).
tcf(c_33592,plain,
( ( nil = sK59 )
| ( hd(sK59) = sK57 )
| ~ frontsegP(iPr_def_11,sK59)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59)) ),
inference(superposition,[status(thm)],[c_16297,c_27481]) ).
tcf(c_33593,plain,
( ( nil = sK58 )
| ( hd(sK58) = sK57 )
| ~ frontsegP(iPr_def_11,sK58)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58)) ),
inference(superposition,[status(thm)],[c_16298,c_27481]) ).
tcf(c_33594,plain,
( ( nil = sK56 )
| ( hd(sK56) = sK57 )
| ~ frontsegP(iPr_def_11,sK56)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_16299,c_27481]) ).
tcf(c_33596,plain,
( ( sK57 = sK60 )
| ~ frontsegP(iPr_def_11,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33587,c_141,c_18252]) ).
tcf(c_33675,plain,
( ssList(tl(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_15338,c_221]) ).
tcf(c_33680,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_12),X0),tl(iPr_def_12))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssList(app(app(nil,tl(iPr_def_12)),X0)) ),
inference(superposition,[status(thm)],[c_20010,c_67]) ).
tcf(c_33686,plain,
( frontsegP(tl(iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20010,c_382]) ).
tcf(c_33687,plain,
( rearsegP(tl(iPr_def_12),tl(iPr_def_12))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20010,c_379]) ).
tcf(c_33689,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ( app(X0,tl(iPr_def_12)) != tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_20010,c_225]) ).
tcf(c_33693,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ( app(nil,X0) != tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_20010,c_226]) ).
tcf(c_33694,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_12),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_20010,c_176]) ).
tcf(c_33696,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_12),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ~ segmentP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_20010,c_193]) ).
tcf(c_33699,plain,
frontsegP(tl(iPr_def_12),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_33686,c_141,c_19014]) ).
tcf(c_33700,plain,
rearsegP(tl(iPr_def_12),tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_33687,c_141,c_19014]) ).
tcf(c_33701,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_12),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33694,c_141,c_19014]) ).
tcf(c_33705,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33693,c_141,c_19014]) ).
tcf(c_33709,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,tl(iPr_def_12)) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33689,c_141,c_19014]) ).
tcf(c_33713,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_12),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33696,c_141,c_19014]) ).
tcf(c_33718,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_12),X0),tl(iPr_def_12))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssList(app(tl(iPr_def_12),X0)) ),
inference(light_normalisation,[status(thm)],[c_33680,c_20010]) ).
tcf(c_33719,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_12),X0),tl(iPr_def_12))
| ~ ssList(X0)
| ~ ssList(app(tl(iPr_def_12),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33718,c_141,c_19014]) ).
tcf(c_33727,plain,
( ( tl(iPr_def_12) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(nil,tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_33699,c_174]) ).
tcf(c_33728,plain,
( ( app(nil,sK11(tl(iPr_def_12),nil)) = tl(iPr_def_12) )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_33699,c_63]) ).
tcf(c_33729,plain,
app(nil,sK11(tl(iPr_def_12),nil)) = tl(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_33728,c_141,c_19014]) ).
tcf(c_33730,plain,
( ( tl(iPr_def_12) = nil )
| ~ frontsegP(nil,tl(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33727,c_141,c_19014]) ).
tcf(c_33738,plain,
( ( app(sK12(tl(iPr_def_12),tl(iPr_def_12)),tl(iPr_def_12)) = tl(iPr_def_12) )
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_33700,c_66]) ).
tcf(c_33739,plain,
app(sK12(tl(iPr_def_12),tl(iPr_def_12)),tl(iPr_def_12)) = tl(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_33738,c_19014]) ).
tcf(c_33750,plain,
( ( app(sK8(iPr_def_11,sK10(iPr_def_11)),cons(sK10(iPr_def_11),sK9(iPr_def_11,sK10(iPr_def_11)))) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssItem(sK10(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_25623,c_57]) ).
tcf(c_33751,plain,
( ( app(nil,sK8(iPr_def_11,sK10(iPr_def_11))) = sK8(iPr_def_11,sK10(iPr_def_11)) )
| ~ ssList(iPr_def_11)
| ~ ssItem(sK10(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_25623,c_12510]) ).
tcf(c_33753,plain,
( memberP(iPr_def_12,sK10(iPr_def_11))
| ~ ssItem(sK10(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_25623,c_18421]) ).
tcf(c_33756,plain,
( ( app(nil,sK8(iPr_def_11,sK10(iPr_def_11))) = sK8(iPr_def_11,sK10(iPr_def_11)) )
| ~ ssItem(sK10(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33751,c_12706]) ).
tcf(c_33759,plain,
( ( app(sK8(iPr_def_11,sK10(iPr_def_11)),cons(sK10(iPr_def_11),sK9(iPr_def_11,sK10(iPr_def_11)))) = iPr_def_11 )
| ~ ssItem(sK10(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33750,c_12706]) ).
tcf(c_33764,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,tl(iPr_def_10)) = nil )
| ( cons(sK57,tl(iPr_def_10)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(iPr_def_10)))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,tl(iPr_def_10))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_27234,c_223]) ).
tcf(c_33765,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,tl(iPr_def_10))))
| ( cons(sK57,tl(iPr_def_10)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,tl(iPr_def_10)))
| ~ ssList(cons(sK57,tl(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_27234,c_212]) ).
tcf(c_33766,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,tl(iPr_def_10))))
| ( cons(sK57,tl(iPr_def_10)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,tl(iPr_def_10)))
| ~ ssList(cons(sK57,tl(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_27234,c_206]) ).
tcf(c_33779,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,tl(iPr_def_10)) = nil )
| ( cons(sK57,tl(iPr_def_10)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(iPr_def_10)))
| ( tl(X0) != tl(iPr_def_10) )
| ( hd(X0) != sK57 ) ),
inference(light_normalisation,[status(thm)],[c_33764,c_27233]) ).
tcf(c_33802,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_10),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_10))
| ~ ssList(app(app(tl(iPr_def_10),nil),X0)) ),
inference(superposition,[status(thm)],[c_27238,c_67]) ).
tcf(c_33808,plain,
( frontsegP(tl(iPr_def_10),tl(iPr_def_10))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_27238,c_382]) ).
tcf(c_33809,plain,
( rearsegP(tl(iPr_def_10),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_27238,c_379]) ).
tcf(c_33811,plain,
! [X0: $i] :
( ( tl(iPr_def_10) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_10))
| ( app(X0,nil) != tl(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_27238,c_225]) ).
tcf(c_33812,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_10))
| ( app(tl(iPr_def_10),X0) != tl(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_27238,c_226]) ).
tcf(c_33815,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_10),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_10))
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_27238,c_193]) ).
tcf(c_33816,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_10),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_10))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_27238,c_186]) ).
tcf(c_33817,plain,
! [X0: $i] :
( memberP(tl(iPr_def_10),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_10))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_27238,c_166]) ).
tcf(c_33821,plain,
rearsegP(tl(iPr_def_10),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_33809,c_141,c_27219]) ).
tcf(c_33822,plain,
frontsegP(tl(iPr_def_10),tl(iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_33808,c_141,c_27219]) ).
tcf(c_33824,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_10),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33816,c_141,c_27219]) ).
tcf(c_33828,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_10),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33815,c_141,c_27219]) ).
tcf(c_33833,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(tl(iPr_def_10),X0) != tl(iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33812,c_141,c_27219]) ).
tcf(c_33837,plain,
! [X0: $i] :
( ( tl(iPr_def_10) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != tl(iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33811,c_141,c_27219]) ).
tcf(c_33841,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_10),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_10))
| ~ ssList(app(tl(iPr_def_10),X0)) ),
inference(light_normalisation,[status(thm)],[c_33802,c_27238]) ).
tcf(c_33842,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_10),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(tl(iPr_def_10),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33841,c_141,c_27219]) ).
tcf(c_33881,plain,
( ( tl(iPr_def_10) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_10))
| ~ rearsegP(nil,tl(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_33821,c_184]) ).
tcf(c_33882,plain,
( ( app(sK12(tl(iPr_def_10),nil),nil) = tl(iPr_def_10) )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_33821,c_66]) ).
tcf(c_33883,plain,
app(sK12(tl(iPr_def_10),nil),nil) = tl(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_33882,c_141,c_27219]) ).
tcf(c_33884,plain,
( ( tl(iPr_def_10) = nil )
| ~ rearsegP(nil,tl(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33881,c_141,c_27219]) ).
tcf(c_33889,plain,
( ( app(tl(iPr_def_10),sK11(tl(iPr_def_10),tl(iPr_def_10))) = tl(iPr_def_10) )
| ~ ssList(tl(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_33822,c_63]) ).
tcf(c_33890,plain,
app(tl(iPr_def_10),sK11(tl(iPr_def_10),tl(iPr_def_10))) = tl(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_33889,c_27219]) ).
tcf(c_33941,plain,
( ( app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ frontsegP(sK56,sK56) ),
inference(superposition,[status(thm)],[c_62,c_19004]) ).
tcf(c_33942,plain,
app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_33941,c_8907,c_13614]) ).
tcf(c_33943,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK11(sK56,sK56))
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ ssList(sK12(sK56,sK11(sK56,sK56)))
| ~ ssList(app(app(sK12(sK56,sK11(sK56,sK56)),sK11(sK56,sK56)),X0)) ),
inference(superposition,[status(thm)],[c_33942,c_67]) ).
tcf(c_33946,plain,
! [X0: $i] :
( memberP(sK11(sK56,sK56),X0)
| memberP(sK12(sK56,sK11(sK56,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK11(sK56,sK56))
| ~ ssList(sK12(sK56,sK11(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_33942,c_167]) ).
tcf(c_33947,plain,
( ( sK12(sK56,sK11(sK56,sK56)) = nil )
| ~ ssList(sK11(sK56,sK56))
| ~ ssList(sK12(sK56,sK11(sK56,sK56)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_33942,c_231]) ).
tcf(c_33949,plain,
( frontsegP(sK56,sK12(sK56,sK11(sK56,sK56)))
| ~ ssList(sK11(sK56,sK56))
| ~ ssList(sK12(sK56,sK11(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_33942,c_382]) ).
tcf(c_33952,plain,
! [X0: $i] :
( ( sK12(sK56,sK11(sK56,sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ ssList(sK12(sK56,sK11(sK56,sK56)))
| ( app(X0,sK11(sK56,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_33942,c_225]) ).
tcf(c_33953,plain,
! [X0: $i] :
( ( sK11(sK56,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ ssList(sK12(sK56,sK11(sK56,sK56)))
| ( app(sK12(sK56,sK11(sK56,sK56)),X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_33942,c_226]) ).
tcf(c_33954,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ ssList(sK12(sK56,sK11(sK56,sK56)))
| ~ frontsegP(sK12(sK56,sK11(sK56,sK56)),X0) ),
inference(superposition,[status(thm)],[c_33942,c_176]) ).
tcf(c_33955,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,sK56))
| ~ ssList(sK12(sK56,sK11(sK56,sK56)))
| ~ memberP(sK12(sK56,sK11(sK56,sK56)),X0) ),
inference(superposition,[status(thm)],[c_33942,c_165]) ).
tcf(c_34028,plain,
( ssItem(hd(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_15339,c_219]) ).
tcf(c_34080,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_10),X0),tl(iPr_def_10))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_10))
| ~ ssList(app(app(nil,tl(iPr_def_10)),X0)) ),
inference(superposition,[status(thm)],[c_27239,c_67]) ).
tcf(c_34086,plain,
( frontsegP(tl(iPr_def_10),nil)
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_27239,c_382]) ).
tcf(c_34087,plain,
( rearsegP(tl(iPr_def_10),tl(iPr_def_10))
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_27239,c_379]) ).
tcf(c_34089,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_10))
| ( app(X0,tl(iPr_def_10)) != tl(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_27239,c_225]) ).
tcf(c_34093,plain,
! [X0: $i] :
( ( tl(iPr_def_10) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_10))
| ( app(nil,X0) != tl(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_27239,c_226]) ).
tcf(c_34094,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_10),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_10))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_27239,c_176]) ).
tcf(c_34096,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_10),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_10))
| ~ segmentP(tl(iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_27239,c_193]) ).
tcf(c_34099,plain,
frontsegP(tl(iPr_def_10),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_34086,c_141,c_27219]) ).
tcf(c_34100,plain,
rearsegP(tl(iPr_def_10),tl(iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_34087,c_141,c_27219]) ).
tcf(c_34101,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_10),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34094,c_141,c_27219]) ).
tcf(c_34105,plain,
! [X0: $i] :
( ( tl(iPr_def_10) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != tl(iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34093,c_141,c_27219]) ).
tcf(c_34109,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,tl(iPr_def_10)) != tl(iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34089,c_141,c_27219]) ).
tcf(c_34113,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_10),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(tl(iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34096,c_141,c_27219]) ).
tcf(c_34118,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_10),X0),tl(iPr_def_10))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_10))
| ~ ssList(app(tl(iPr_def_10),X0)) ),
inference(light_normalisation,[status(thm)],[c_34080,c_27239]) ).
tcf(c_34119,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_10),X0),tl(iPr_def_10))
| ~ ssList(X0)
| ~ ssList(app(tl(iPr_def_10),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34118,c_141,c_27219]) ).
tcf(c_34134,plain,
( ( tl(iPr_def_10) = nil )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_10))
| ~ frontsegP(nil,tl(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_34099,c_174]) ).
tcf(c_34135,plain,
( ( app(nil,sK11(tl(iPr_def_10),nil)) = tl(iPr_def_10) )
| ~ ssList(nil)
| ~ ssList(tl(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_34099,c_63]) ).
tcf(c_34136,plain,
app(nil,sK11(tl(iPr_def_10),nil)) = tl(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_34135,c_141,c_27219]) ).
tcf(c_34137,plain,
( ( tl(iPr_def_10) = nil )
| ~ frontsegP(nil,tl(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34134,c_141,c_27219]) ).
tcf(c_34154,plain,
( ( app(sK12(tl(iPr_def_10),tl(iPr_def_10)),tl(iPr_def_10)) = tl(iPr_def_10) )
| ~ ssList(tl(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_34100,c_66]) ).
tcf(c_34155,plain,
app(sK12(tl(iPr_def_10),tl(iPr_def_10)),tl(iPr_def_10)) = tl(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_34154,c_27219]) ).
tcf(c_34176,plain,
( ( app(sK8(iPr_def_12,sK10(iPr_def_11)),cons(sK10(iPr_def_11),sK9(iPr_def_12,sK10(iPr_def_11)))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssItem(sK10(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_33753,c_57]) ).
tcf(c_34177,plain,
( ( app(nil,sK8(iPr_def_12,sK10(iPr_def_11))) = sK8(iPr_def_12,sK10(iPr_def_11)) )
| ~ ssList(iPr_def_12)
| ~ ssItem(sK10(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_33753,c_12510]) ).
tcf(c_34178,plain,
( memberP(iPr_def_11,sK10(iPr_def_11))
| memberP(sK58,sK10(iPr_def_11))
| ~ ssItem(sK10(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_33753,c_22492]) ).
tcf(c_34179,plain,
( memberP(iPr_def_10,sK10(iPr_def_11))
| ~ ssItem(sK10(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_33753,c_22007]) ).
tcf(c_34185,plain,
( ( app(nil,sK8(iPr_def_12,sK10(iPr_def_11))) = sK8(iPr_def_12,sK10(iPr_def_11)) )
| ~ ssItem(sK10(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34177,c_12842]) ).
tcf(c_34188,plain,
( ( app(sK8(iPr_def_12,sK10(iPr_def_11)),cons(sK10(iPr_def_11),sK9(iPr_def_12,sK10(iPr_def_11)))) = iPr_def_12 )
| ~ ssItem(sK10(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34176,c_12842]) ).
tcf(c_34268,plain,
( ( app(sK12(sK58,sK11(sK58,sK58)),sK11(sK58,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ frontsegP(sK58,sK58) ),
inference(superposition,[status(thm)],[c_62,c_19523]) ).
tcf(c_34269,plain,
app(sK12(sK58,sK11(sK58,sK58)),sK11(sK58,sK58)) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_34268,c_8915,c_13615]) ).
tcf(c_34270,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK11(sK58,sK58))
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ ssList(sK12(sK58,sK11(sK58,sK58)))
| ~ ssList(app(app(sK12(sK58,sK11(sK58,sK58)),sK11(sK58,sK58)),X0)) ),
inference(superposition,[status(thm)],[c_34269,c_67]) ).
tcf(c_34273,plain,
! [X0: $i] :
( memberP(sK11(sK58,sK58),X0)
| memberP(sK12(sK58,sK11(sK58,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK11(sK58,sK58))
| ~ ssList(sK12(sK58,sK11(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_34269,c_167]) ).
tcf(c_34274,plain,
( ( sK12(sK58,sK11(sK58,sK58)) = nil )
| ~ ssList(sK11(sK58,sK58))
| ~ ssList(sK12(sK58,sK11(sK58,sK58)))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_34269,c_231]) ).
tcf(c_34276,plain,
( frontsegP(sK58,sK12(sK58,sK11(sK58,sK58)))
| ~ ssList(sK11(sK58,sK58))
| ~ ssList(sK12(sK58,sK11(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_34269,c_382]) ).
tcf(c_34279,plain,
! [X0: $i] :
( ( sK12(sK58,sK11(sK58,sK58)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ ssList(sK12(sK58,sK11(sK58,sK58)))
| ( app(X0,sK11(sK58,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_34269,c_225]) ).
tcf(c_34280,plain,
! [X0: $i] :
( ( sK11(sK58,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ ssList(sK12(sK58,sK11(sK58,sK58)))
| ( app(sK12(sK58,sK11(sK58,sK58)),X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_34269,c_226]) ).
tcf(c_34281,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ ssList(sK12(sK58,sK11(sK58,sK58)))
| ~ frontsegP(sK12(sK58,sK11(sK58,sK58)),X0) ),
inference(superposition,[status(thm)],[c_34269,c_176]) ).
tcf(c_34282,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK58,sK58))
| ~ ssList(sK12(sK58,sK11(sK58,sK58)))
| ~ memberP(sK12(sK58,sK11(sK58,sK58)),X0) ),
inference(superposition,[status(thm)],[c_34269,c_165]) ).
tcf(c_34327,plain,
! [X0: $i] :
( segmentP(app(tl(sK59),X0),nil)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ ssList(app(app(tl(sK59),nil),X0)) ),
inference(superposition,[status(thm)],[c_15341,c_67]) ).
tcf(c_34333,plain,
( frontsegP(tl(sK59),tl(sK59))
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_15341,c_382]) ).
tcf(c_34334,plain,
( rearsegP(tl(sK59),nil)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_15341,c_379]) ).
tcf(c_34336,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( tl(sK59) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ( app(X0,nil) != tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15341,c_225]) ).
tcf(c_34337,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ( app(tl(sK59),X0) != tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15341,c_226]) ).
tcf(c_34340,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(sK59),X1),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_15341,c_193]) ).
tcf(c_34341,plain,
! [X0: $i] :
( rearsegP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_15341,c_186]) ).
tcf(c_34342,plain,
! [X0: $i] :
( memberP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_15341,c_166]) ).
tcf(c_34346,plain,
( rearsegP(tl(sK59),nil)
| ( nil = sK59 )
| ~ ssList(tl(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34334,c_141]) ).
tcf(c_34350,plain,
( frontsegP(tl(sK59),tl(sK59))
| ( nil = sK59 )
| ~ ssList(tl(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34333,c_141]) ).
tcf(c_34354,plain,
! [X0: $i] :
( memberP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssItem(X0)
| ~ ssList(tl(sK59))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34342,c_141]) ).
tcf(c_34360,plain,
! [X0: $i] :
( rearsegP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34341,c_141]) ).
tcf(c_34366,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(sK59),X1),X0)
| ( nil = sK59 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34340,c_141]) ).
tcf(c_34373,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ( app(tl(sK59),X0) != tl(sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34337,c_141]) ).
tcf(c_34379,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( tl(sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ( app(X0,nil) != tl(sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34336,c_141]) ).
tcf(c_34385,plain,
! [X0: $i] :
( segmentP(app(tl(sK59),X0),nil)
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ ssList(app(app(tl(sK59),nil),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34327,c_141]) ).
tcf(c_34439,plain,
! [X0: $i] :
( ( nil = iPr_def_10 )
| ( nil = sK56 )
| ( X0 = iPr_def_10 )
| ( X0 = nil )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ( tl(X0) != tl(iPr_def_10) )
| ( hd(X0) != sK60 ) ),
inference(superposition,[status(thm)],[c_15944,c_223]) ).
tcf(c_34440,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_10))
| ( nil = iPr_def_10 )
| ( nil = sK56 )
| ~ strictorderedP(iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ lt(X0,sK60) ),
inference(superposition,[status(thm)],[c_15944,c_212]) ).
tcf(c_34441,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_10))
| ( nil = iPr_def_10 )
| ( nil = sK56 )
| ~ totalorderedP(iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ leq(X0,sK60) ),
inference(superposition,[status(thm)],[c_15944,c_206]) ).
tcf(c_34443,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_10))
| ( nil = sK56 )
| ~ ssItem(X0)
| ~ leq(X0,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34441,c_18255,c_18249,c_18245]) ).
tcf(c_34448,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_10))
| ( nil = sK56 )
| ~ ssItem(X0)
| ~ lt(X0,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34440,c_18255,c_18248,c_18245]) ).
tcf(c_34453,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = iPr_def_10 )
| ( X0 = nil )
| ~ ssList(X0)
| ( tl(X0) != tl(iPr_def_10) )
| ( hd(X0) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34439,c_18255,c_18245]) ).
tcf(c_34473,plain,
( ( nil = sK56 )
| ( hd(cons(sK57,nil)) = sK57 ) ),
inference(superposition,[status(thm)],[c_17305,c_27234]) ).
tcf(c_34495,plain,
( ( app(sK8(iPr_def_10,sK10(iPr_def_11)),cons(sK10(iPr_def_11),sK9(iPr_def_10,sK10(iPr_def_11)))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssItem(sK10(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_34179,c_57]) ).
tcf(c_34496,plain,
( ( app(nil,sK8(iPr_def_10,sK10(iPr_def_11))) = sK8(iPr_def_10,sK10(iPr_def_11)) )
| ~ ssList(iPr_def_10)
| ~ ssItem(sK10(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_34179,c_12510]) ).
tcf(c_34497,plain,
( memberP(iPr_def_12,sK10(iPr_def_11))
| memberP(sK59,sK10(iPr_def_11))
| ~ ssItem(sK10(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_34179,c_22487]) ).
tcf(c_34501,plain,
( ( app(nil,sK8(iPr_def_10,sK10(iPr_def_11))) = sK8(iPr_def_10,sK10(iPr_def_11)) )
| ~ ssItem(sK10(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34496,c_18245]) ).
tcf(c_34504,plain,
( ( app(sK8(iPr_def_10,sK10(iPr_def_11)),cons(sK10(iPr_def_11),sK9(iPr_def_10,sK10(iPr_def_11)))) = iPr_def_10 )
| ~ ssItem(sK10(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34495,c_18245]) ).
tcf(c_34523,plain,
( ( nil = sK56 )
| ( tl(cons(sK57,nil)) = nil ) ),
inference(superposition,[status(thm)],[c_17305,c_27233]) ).
tcf(c_34540,plain,
( ( app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ frontsegP(sK59,sK59) ),
inference(superposition,[status(thm)],[c_62,c_19536]) ).
tcf(c_34541,plain,
app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_34540,c_8916,c_13616]) ).
tcf(c_34542,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK11(sK59,sK59))
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ ssList(sK12(sK59,sK11(sK59,sK59)))
| ~ ssList(app(app(sK12(sK59,sK11(sK59,sK59)),sK11(sK59,sK59)),X0)) ),
inference(superposition,[status(thm)],[c_34541,c_67]) ).
tcf(c_34545,plain,
! [X0: $i] :
( memberP(sK11(sK59,sK59),X0)
| memberP(sK12(sK59,sK11(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(sK59,sK59))
| ~ ssList(sK12(sK59,sK11(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_34541,c_167]) ).
tcf(c_34546,plain,
( ( sK12(sK59,sK11(sK59,sK59)) = nil )
| ~ ssList(sK11(sK59,sK59))
| ~ ssList(sK12(sK59,sK11(sK59,sK59)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_34541,c_231]) ).
tcf(c_34548,plain,
( frontsegP(sK59,sK12(sK59,sK11(sK59,sK59)))
| ~ ssList(sK11(sK59,sK59))
| ~ ssList(sK12(sK59,sK11(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_34541,c_382]) ).
tcf(c_34551,plain,
! [X0: $i] :
( ( sK12(sK59,sK11(sK59,sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ ssList(sK12(sK59,sK11(sK59,sK59)))
| ( app(X0,sK11(sK59,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_34541,c_225]) ).
tcf(c_34552,plain,
! [X0: $i] :
( ( sK11(sK59,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ ssList(sK12(sK59,sK11(sK59,sK59)))
| ( app(sK12(sK59,sK11(sK59,sK59)),X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_34541,c_226]) ).
tcf(c_34553,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ ssList(sK12(sK59,sK11(sK59,sK59)))
| ~ frontsegP(sK12(sK59,sK11(sK59,sK59)),X0) ),
inference(superposition,[status(thm)],[c_34541,c_176]) ).
tcf(c_34554,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ ssList(sK12(sK59,sK11(sK59,sK59)))
| ~ memberP(sK12(sK59,sK11(sK59,sK59)),X0) ),
inference(superposition,[status(thm)],[c_34541,c_165]) ).
tcf(c_34605,plain,
( ( app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56 )
| ~ ssList(sK56)
| ~ rearsegP(sK56,sK56) ),
inference(superposition,[status(thm)],[c_65,c_19576]) ).
tcf(c_34606,plain,
app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_34605,c_8907,c_13491]) ).
tcf(c_34607,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK11(sK56,sK12(sK56,sK56)))
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ ssList(sK11(sK56,sK12(sK56,sK56)))
| ~ ssList(app(app(sK12(sK56,sK56),sK11(sK56,sK12(sK56,sK56))),X0)) ),
inference(superposition,[status(thm)],[c_34606,c_67]) ).
tcf(c_34610,plain,
! [X0: $i] :
( memberP(sK12(sK56,sK56),X0)
| memberP(sK11(sK56,sK12(sK56,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK12(sK56,sK56))
| ~ ssList(sK11(sK56,sK12(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_34606,c_167]) ).
tcf(c_34612,plain,
( ( sK11(sK56,sK12(sK56,sK56)) = nil )
| ~ ssList(sK12(sK56,sK56))
| ~ ssList(sK11(sK56,sK12(sK56,sK56)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_34606,c_230]) ).
tcf(c_34614,plain,
( rearsegP(sK56,sK11(sK56,sK12(sK56,sK56)))
| ~ ssList(sK12(sK56,sK56))
| ~ ssList(sK11(sK56,sK12(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_34606,c_379]) ).
tcf(c_34616,plain,
! [X0: $i] :
( ( sK12(sK56,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ ssList(sK11(sK56,sK12(sK56,sK56)))
| ( app(X0,sK11(sK56,sK12(sK56,sK56))) != sK56 ) ),
inference(superposition,[status(thm)],[c_34606,c_225]) ).
tcf(c_34617,plain,
! [X0: $i] :
( ( sK11(sK56,sK12(sK56,sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ ssList(sK11(sK56,sK12(sK56,sK56)))
| ( app(sK12(sK56,sK56),X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_34606,c_226]) ).
tcf(c_34620,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ ssList(sK11(sK56,sK12(sK56,sK56)))
| ~ segmentP(sK11(sK56,sK12(sK56,sK56)),X0) ),
inference(superposition,[status(thm)],[c_34606,c_193]) ).
tcf(c_34621,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ ssList(sK11(sK56,sK12(sK56,sK56)))
| ~ rearsegP(sK11(sK56,sK12(sK56,sK56)),X0) ),
inference(superposition,[status(thm)],[c_34606,c_186]) ).
tcf(c_34622,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ ssList(sK11(sK56,sK12(sK56,sK56)))
| ~ memberP(sK11(sK56,sK12(sK56,sK56)),X0) ),
inference(superposition,[status(thm)],[c_34606,c_166]) ).
tcf(c_34662,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK11(sK56,sK12(sK56,sK56)))
| ~ ssList(X0)
| ~ ssList(sK12(sK56,sK56))
| ~ ssList(app(sK56,X0))
| ~ ssList(sK11(sK56,sK12(sK56,sK56))) ),
inference(light_normalisation,[status(thm)],[c_34607,c_34606]) ).
tcf(c_34683,plain,
( ( app(sK12(sK58,sK58),sK11(sK58,sK12(sK58,sK58))) = sK58 )
| ~ ssList(sK58)
| ~ rearsegP(sK58,sK58) ),
inference(superposition,[status(thm)],[c_65,c_20083]) ).
tcf(c_34684,plain,
app(sK12(sK58,sK58),sK11(sK58,sK12(sK58,sK58))) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_34683,c_8915,c_13492]) ).
tcf(c_34689,plain,
! [X0: $i] :
( segmentP(app(tl(sK59),X0),tl(sK59))
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ ssList(app(app(nil,tl(sK59)),X0)) ),
inference(superposition,[status(thm)],[c_15342,c_67]) ).
tcf(c_34695,plain,
( frontsegP(tl(sK59),nil)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_15342,c_382]) ).
tcf(c_34696,plain,
( rearsegP(tl(sK59),tl(sK59))
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(tl(sK59)) ),
inference(superposition,[status(thm)],[c_15342,c_379]) ).
tcf(c_34698,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ( app(X0,tl(sK59)) != tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15342,c_225]) ).
tcf(c_34702,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( tl(sK59) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ( app(nil,X0) != tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15342,c_226]) ).
tcf(c_34703,plain,
! [X0: $i] :
( frontsegP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_15342,c_176]) ).
tcf(c_34705,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(sK59),X1),X0)
| ( nil = sK59 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ segmentP(tl(sK59),X0) ),
inference(superposition,[status(thm)],[c_15342,c_193]) ).
tcf(c_34708,plain,
( frontsegP(tl(sK59),nil)
| ( nil = sK59 )
| ~ ssList(tl(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34695,c_141]) ).
tcf(c_34712,plain,
( rearsegP(tl(sK59),tl(sK59))
| ( nil = sK59 )
| ~ ssList(tl(sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34696,c_141]) ).
tcf(c_34716,plain,
! [X0: $i] :
( frontsegP(tl(sK59),X0)
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34703,c_141]) ).
tcf(c_34722,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( tl(sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ( app(nil,X0) != tl(sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34702,c_141]) ).
tcf(c_34728,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ( app(X0,tl(sK59)) != tl(sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34698,c_141]) ).
tcf(c_34734,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(sK59),X1),X0)
| ( nil = sK59 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ segmentP(tl(sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34705,c_141]) ).
tcf(c_34741,plain,
! [X0: $i] :
( segmentP(app(tl(sK59),X0),tl(sK59))
| ( nil = sK59 )
| ~ ssList(X0)
| ~ ssList(tl(sK59))
| ~ ssList(app(app(nil,tl(sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34689,c_141]) ).
tcf(c_34905,plain,
( ( sK10(iPr_def_11) = sK57 )
| ~ singletonP(iPr_def_11)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_59,c_33506]) ).
tcf(c_34906,plain,
sK10(iPr_def_11) = sK57,
inference(forward_subsumption_resolution,[status(thm)],[c_34905,c_17004,c_12706]) ).
tcf(c_34910,plain,
cons(sK57,nil) = iPr_def_11,
inference(demodulation,[status(thm)],[c_17013,c_34906]) ).
tcf(c_34956,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK11(sK58,sK12(sK58,sK58)))
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ ssList(sK11(sK58,sK12(sK58,sK58)))
| ~ ssList(app(app(sK12(sK58,sK58),sK11(sK58,sK12(sK58,sK58))),X0)) ),
inference(superposition,[status(thm)],[c_34684,c_67]) ).
tcf(c_34959,plain,
! [X0: $i] :
( memberP(sK12(sK58,sK58),X0)
| memberP(sK11(sK58,sK12(sK58,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK12(sK58,sK58))
| ~ ssList(sK11(sK58,sK12(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_34684,c_167]) ).
tcf(c_34961,plain,
( ( sK11(sK58,sK12(sK58,sK58)) = nil )
| ~ ssList(sK12(sK58,sK58))
| ~ ssList(sK11(sK58,sK12(sK58,sK58)))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_34684,c_230]) ).
tcf(c_34963,plain,
( rearsegP(sK58,sK11(sK58,sK12(sK58,sK58)))
| ~ ssList(sK12(sK58,sK58))
| ~ ssList(sK11(sK58,sK12(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_34684,c_379]) ).
tcf(c_34965,plain,
! [X0: $i] :
( ( sK12(sK58,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ ssList(sK11(sK58,sK12(sK58,sK58)))
| ( app(X0,sK11(sK58,sK12(sK58,sK58))) != sK58 ) ),
inference(superposition,[status(thm)],[c_34684,c_225]) ).
tcf(c_34966,plain,
! [X0: $i] :
( ( sK11(sK58,sK12(sK58,sK58)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ ssList(sK11(sK58,sK12(sK58,sK58)))
| ( app(sK12(sK58,sK58),X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_34684,c_226]) ).
tcf(c_34969,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ ssList(sK11(sK58,sK12(sK58,sK58)))
| ~ segmentP(sK11(sK58,sK12(sK58,sK58)),X0) ),
inference(superposition,[status(thm)],[c_34684,c_193]) ).
tcf(c_34970,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ ssList(sK11(sK58,sK12(sK58,sK58)))
| ~ rearsegP(sK11(sK58,sK12(sK58,sK58)),X0) ),
inference(superposition,[status(thm)],[c_34684,c_186]) ).
tcf(c_34971,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ ssList(sK11(sK58,sK12(sK58,sK58)))
| ~ memberP(sK11(sK58,sK12(sK58,sK58)),X0) ),
inference(superposition,[status(thm)],[c_34684,c_166]) ).
tcf(c_35011,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK11(sK58,sK12(sK58,sK58)))
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ ssList(app(sK58,X0))
| ~ ssList(sK11(sK58,sK12(sK58,sK58))) ),
inference(light_normalisation,[status(thm)],[c_34956,c_34684]) ).
tcf(c_35038,plain,
( ( app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59 )
| ~ ssList(sK59)
| ~ rearsegP(sK59,sK59) ),
inference(superposition,[status(thm)],[c_65,c_20096]) ).
tcf(c_35039,plain,
app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_35038,c_8916,c_13493]) ).
tcf(c_35040,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK11(sK59,sK12(sK59,sK59)))
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ ssList(sK11(sK59,sK12(sK59,sK59)))
| ~ ssList(app(app(sK12(sK59,sK59),sK11(sK59,sK12(sK59,sK59))),X0)) ),
inference(superposition,[status(thm)],[c_35039,c_67]) ).
tcf(c_35043,plain,
! [X0: $i] :
( memberP(sK12(sK59,sK59),X0)
| memberP(sK11(sK59,sK12(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(sK59,sK59))
| ~ ssList(sK11(sK59,sK12(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_35039,c_167]) ).
tcf(c_35045,plain,
( ( sK11(sK59,sK12(sK59,sK59)) = nil )
| ~ ssList(sK12(sK59,sK59))
| ~ ssList(sK11(sK59,sK12(sK59,sK59)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_35039,c_230]) ).
tcf(c_35047,plain,
( rearsegP(sK59,sK11(sK59,sK12(sK59,sK59)))
| ~ ssList(sK12(sK59,sK59))
| ~ ssList(sK11(sK59,sK12(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_35039,c_379]) ).
tcf(c_35049,plain,
! [X0: $i] :
( ( sK12(sK59,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ ssList(sK11(sK59,sK12(sK59,sK59)))
| ( app(X0,sK11(sK59,sK12(sK59,sK59))) != sK59 ) ),
inference(superposition,[status(thm)],[c_35039,c_225]) ).
tcf(c_35050,plain,
! [X0: $i] :
( ( sK11(sK59,sK12(sK59,sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ ssList(sK11(sK59,sK12(sK59,sK59)))
| ( app(sK12(sK59,sK59),X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_35039,c_226]) ).
tcf(c_35053,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ ssList(sK11(sK59,sK12(sK59,sK59)))
| ~ segmentP(sK11(sK59,sK12(sK59,sK59)),X0) ),
inference(superposition,[status(thm)],[c_35039,c_193]) ).
tcf(c_35054,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ ssList(sK11(sK59,sK12(sK59,sK59)))
| ~ rearsegP(sK11(sK59,sK12(sK59,sK59)),X0) ),
inference(superposition,[status(thm)],[c_35039,c_186]) ).
tcf(c_35055,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ ssList(sK11(sK59,sK12(sK59,sK59)))
| ~ memberP(sK11(sK59,sK12(sK59,sK59)),X0) ),
inference(superposition,[status(thm)],[c_35039,c_166]) ).
tcf(c_35095,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK11(sK59,sK12(sK59,sK59)))
| ~ ssList(X0)
| ~ ssList(sK12(sK59,sK59))
| ~ ssList(app(sK59,X0))
| ~ ssList(sK11(sK59,sK12(sK59,sK59))) ),
inference(light_normalisation,[status(thm)],[c_35040,c_35039]) ).
tcf(c_35136,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( app(tl(sK59),sK8(X0,X1)) = tl(app(sK59,sK8(X0,X1))) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_21658]) ).
tcf(c_35137,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( app(tl(sK59),sK9(X0,X1)) = tl(app(sK59,sK9(X0,X1))) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_21658]) ).
tcf(c_35138,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( app(tl(sK59),app(X0,X1)) = tl(app(sK59,app(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_21658]) ).
tcf(c_35139,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( app(tl(sK59),sK11(X0,X1)) = tl(app(sK59,sK11(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_21658]) ).
tcf(c_35140,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( app(tl(sK59),sK12(X0,X1)) = tl(app(sK59,sK12(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_21658]) ).
tcf(c_35141,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( app(tl(sK59),sK13(X0,X1)) = tl(app(sK59,sK13(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_21658]) ).
tcf(c_35142,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( app(tl(sK59),sK14(X0,X1)) = tl(app(sK59,sK14(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_21658]) ).
tcf(c_35152,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK34(X0)) = tl(app(sK59,sK34(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_21658]) ).
tcf(c_35153,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK33(X0)) = tl(app(sK59,sK33(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_21658]) ).
tcf(c_35154,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK32(X0)) = tl(app(sK59,sK32(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_21658]) ).
tcf(c_35155,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK39(X0)) = tl(app(sK59,sK39(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_21658]) ).
tcf(c_35156,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK38(X0)) = tl(app(sK59,sK38(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_21658]) ).
tcf(c_35157,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK37(X0)) = tl(app(sK59,sK37(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_21658]) ).
tcf(c_35158,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK44(X0)) = tl(app(sK59,sK44(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_21658]) ).
tcf(c_35159,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK43(X0)) = tl(app(sK59,sK43(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_21658]) ).
tcf(c_35160,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK42(X0)) = tl(app(sK59,sK42(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_21658]) ).
tcf(c_35161,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK48(X0)) = tl(app(sK59,sK48(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_21658]) ).
tcf(c_35162,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK47(X0)) = tl(app(sK59,sK47(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_21658]) ).
tcf(c_35163,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( app(tl(sK59),cons(X0,X1)) = tl(app(sK59,cons(X0,X1))) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_21658]) ).
tcf(c_35164,plain,
( ( nil = sK59 )
| ( app(tl(sK59),nil) = tl(app(sK59,nil)) ) ),
inference(superposition,[status(thm)],[c_141,c_21658]) ).
tcf(c_35165,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( app(tl(sK59),sK49(X0)) = tl(app(sK59,sK49(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_21658]) ).
tcf(c_35166,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( app(tl(sK59),tl(X0)) = tl(app(sK59,tl(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_21658]) ).
tcf(c_35167,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( app(tl(sK59),sK52(X0)) = tl(app(sK59,sK52(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_21658]) ).
tcf(c_35168,plain,
( ( nil = sK59 )
| ( app(tl(sK59),sK59) = tl(app(sK59,sK59)) ) ),
inference(superposition,[status(thm)],[c_8916,c_21658]) ).
tcf(c_35169,plain,
( ( nil = sK59 )
| ( app(tl(sK59),sK58) = tl(app(sK59,sK58)) ) ),
inference(superposition,[status(thm)],[c_8915,c_21658]) ).
tcf(c_35170,plain,
( ( nil = sK59 )
| ( app(tl(sK59),sK56) = tl(app(sK59,sK56)) ) ),
inference(superposition,[status(thm)],[c_8907,c_21658]) ).
tcf(c_35171,plain,
( ( nil = sK59 )
| ( app(tl(sK59),iPr_def_12) = tl(app(sK59,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_12842,c_21658]) ).
tcf(c_35172,plain,
( ( nil = sK59 )
| ( app(tl(sK59),iPr_def_11) = tl(app(sK59,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_12706,c_21658]) ).
tcf(c_35173,plain,
( ( nil = sK59 )
| ( app(tl(sK59),iPr_def_10) = tl(app(sK59,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_18245,c_21658]) ).
tcf(c_35174,plain,
( ( nil = sK59 )
| ( app(tl(sK59),tl(sK59)) = tl(app(sK59,tl(sK59))) ) ),
inference(superposition,[status(thm)],[c_15329,c_21658]) ).
tcf(c_35175,plain,
( ( nil = sK59 )
| ( nil = sK58 )
| ( app(tl(sK59),tl(sK58)) = tl(app(sK59,tl(sK58))) ) ),
inference(superposition,[status(thm)],[c_15365,c_21658]) ).
tcf(c_35176,plain,
( ( nil = sK56 )
| ( nil = sK59 )
| ( app(tl(sK59),tl(sK56)) = tl(app(sK59,tl(sK56))) ) ),
inference(superposition,[status(thm)],[c_15756,c_21658]) ).
tcf(c_35177,plain,
( ( nil = sK59 )
| ( app(tl(sK59),tl(iPr_def_10)) = tl(app(sK59,tl(iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_27219,c_21658]) ).
tcf(c_35178,plain,
( ( nil = sK59 )
| ( app(tl(sK59),tl(iPr_def_12)) = tl(app(sK59,tl(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_19014,c_21658]) ).
tcf(c_35664,plain,
( ssList(app(tl(sK59),sK59))
| ( nil = sK59 )
| ( app(sK59,sK59) = nil )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_35168,c_151]) ).
tcf(c_35673,plain,
( ssList(app(tl(sK59),sK58))
| ( nil = sK59 )
| ( app(sK59,sK58) = nil )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_35169,c_151]) ).
tcf(c_35678,plain,
cons(sK50(iPr_def_13),sK49(iPr_def_13)) = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_15486,c_15486,c_17651,c_17747]) ).
tcf(c_35680,plain,
cons(sK50(iPr_def_10),sK49(iPr_def_10)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_35678,c_18250]) ).
tcf(c_35681,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ ssList(app(app(X0,cons(sK50(iPr_def_10),X1)),iPr_def_10))
| ~ duplicatefreeP(app(app(X0,cons(sK50(iPr_def_10),X1)),cons(sK50(iPr_def_10),sK49(iPr_def_10)))) ),
inference(superposition,[status(thm)],[c_35680,c_130]) ).
tcf(c_35682,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK50(iPr_def_10),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK50(iPr_def_10),sK49(iPr_def_10))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_35680,c_122]) ).
tcf(c_35683,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK50(iPr_def_10),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK50(iPr_def_10),sK49(iPr_def_10))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_35680,c_114]) ).
tcf(c_35684,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ ssList(app(app(X0,iPr_def_10),cons(sK50(iPr_def_10),X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(iPr_def_10),sK49(iPr_def_10))),cons(sK50(iPr_def_10),X1))) ),
inference(superposition,[status(thm)],[c_35680,c_130]) ).
tcf(c_35688,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK50(iPr_def_10))
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ ssList(app(X0,cons(sK50(iPr_def_10),sK49(iPr_def_10)))) ),
inference(superposition,[status(thm)],[c_35680,c_54]) ).
tcf(c_35689,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(iPr_def_10))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK50(iPr_def_10),sK49(iPr_def_10)))) ),
inference(superposition,[status(thm)],[c_35680,c_122]) ).
tcf(c_35690,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(iPr_def_10))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK50(iPr_def_10),sK49(iPr_def_10)))) ),
inference(superposition,[status(thm)],[c_35680,c_114]) ).
tcf(c_35694,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_10) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ ssList(app(X0,cons(X1,iPr_def_10)))
| ~ equalelemsP(app(X0,cons(X1,cons(sK50(iPr_def_10),sK49(iPr_def_10))))) ),
inference(superposition,[status(thm)],[c_35680,c_137]) ).
tcf(c_35697,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_10) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ frontsegP(cons(X0,X1),iPr_def_10) ),
inference(superposition,[status(thm)],[c_35680,c_178]) ).
tcf(c_35698,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,sK49(iPr_def_10))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ frontsegP(cons(X0,X1),iPr_def_10) ),
inference(superposition,[status(thm)],[c_35680,c_179]) ).
tcf(c_35699,plain,
( ( sK50(iPr_def_10) = sK57 )
| ~ frontsegP(iPr_def_11,iPr_def_10)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_35680,c_27481]) ).
tcf(c_35700,plain,
( ( sK50(iPr_def_10) = sK57 )
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_35680,c_27471]) ).
tcf(c_35701,plain,
( frontsegP(nil,sK49(iPr_def_10))
| ~ frontsegP(iPr_def_11,iPr_def_10)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_35680,c_26657]) ).
tcf(c_35702,plain,
! [X0: $i,X1: $i] :
( ( sK49(iPr_def_10) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_35680,c_144]) ).
tcf(c_35703,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_10) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_35680,c_143]) ).
tcf(c_35704,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_10) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_35680,c_178]) ).
tcf(c_35705,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK49(iPr_def_10),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_35680,c_179]) ).
tcf(c_35706,plain,
! [X0: $i] :
( memberP(sK49(iPr_def_10),X0)
| ( sK50(iPr_def_10) = X0 )
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_35680,c_170]) ).
tcf(c_35707,plain,
( lt(sK50(iPr_def_10),hd(sK49(iPr_def_10)))
| ( sK49(iPr_def_10) = nil )
| ~ strictorderedP(iPr_def_10)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_35680,c_214]) ).
tcf(c_35708,plain,
( leq(sK50(iPr_def_10),hd(sK49(iPr_def_10)))
| ( sK49(iPr_def_10) = nil )
| ~ totalorderedP(iPr_def_10)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_35680,c_208]) ).
tcf(c_35709,plain,
( strictorderedP(sK49(iPr_def_10))
| ( sK49(iPr_def_10) = nil )
| ~ strictorderedP(iPr_def_10)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_35680,c_213]) ).
tcf(c_35710,plain,
( totalorderedP(sK49(iPr_def_10))
| ( sK49(iPr_def_10) = nil )
| ~ totalorderedP(iPr_def_10)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_35680,c_207]) ).
tcf(c_35712,plain,
( ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ( sK49(iPr_def_10) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_35680,c_142]) ).
tcf(c_35713,plain,
( memberP(iPr_def_10,sK50(iPr_def_10))
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_35680,c_168]) ).
tcf(c_35715,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,cons(sK50(iPr_def_10),X0))
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ frontsegP(sK49(iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_35680,c_177]) ).
tcf(c_35716,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ memberP(sK49(iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_35680,c_169]) ).
tcf(c_35717,plain,
! [X0: $i] :
( frontsegP(cons(sK50(iPr_def_10),X0),iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ frontsegP(X0,sK49(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_35680,c_177]) ).
tcf(c_35741,plain,
( totalorderedP(sK49(iPr_def_10))
| ( sK49(iPr_def_10) = nil )
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35710,c_18249]) ).
tcf(c_35746,plain,
( strictorderedP(sK49(iPr_def_10))
| ( sK49(iPr_def_10) = nil )
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35709,c_18248]) ).
tcf(c_35761,plain,
( leq(sK50(iPr_def_10),hd(sK49(iPr_def_10)))
| ( sK49(iPr_def_10) = nil )
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35708,c_18249]) ).
tcf(c_35766,plain,
( lt(sK50(iPr_def_10),hd(sK49(iPr_def_10)))
| ( sK49(iPr_def_10) = nil )
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35707,c_18248]) ).
tcf(c_35813,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK50(iPr_def_10))
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ ssList(app(X0,iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_35688,c_35680]) ).
tcf(c_35867,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_10) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_10)))
| ~ ssList(app(X0,cons(X1,iPr_def_10))) ),
inference(light_normalisation,[status(thm)],[c_35694,c_35680]) ).
tcf(c_35875,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ duplicatefreeP(app(app(X0,iPr_def_10),cons(sK50(iPr_def_10),X1)))
| ~ ssList(app(app(X0,iPr_def_10),cons(sK50(iPr_def_10),X1))) ),
inference(light_normalisation,[status(thm)],[c_35684,c_35680]) ).
tcf(c_35882,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ duplicatefreeP(app(app(X0,cons(sK50(iPr_def_10),X1)),iPr_def_10))
| ~ ssList(app(app(X0,cons(sK50(iPr_def_10),X1)),iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_35681,c_35680]) ).
tcf(c_35889,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(iPr_def_10))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_35690,c_35680]) ).
tcf(c_35898,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(iPr_def_10))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_35689,c_35680]) ).
tcf(c_35907,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK50(iPr_def_10),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ totalorderedP(app(app(X0,iPr_def_10),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_35683,c_35680]) ).
tcf(c_35916,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK50(iPr_def_10),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ strictorderedP(app(app(X0,iPr_def_10),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_35682,c_35680]) ).
tcf(c_36166,plain,
( ssList(app(tl(sK59),sK56))
| ( nil = sK59 )
| ( app(sK59,sK56) = nil )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_35170,c_151]) ).
tcf(c_36177,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( app(tl(sK58),sK8(X0,X1)) = tl(app(sK58,sK8(X0,X1))) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_21659]) ).
tcf(c_36178,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( app(tl(sK58),sK9(X0,X1)) = tl(app(sK58,sK9(X0,X1))) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_21659]) ).
tcf(c_36179,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( app(tl(sK58),app(X0,X1)) = tl(app(sK58,app(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_21659]) ).
tcf(c_36180,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( app(tl(sK58),sK11(X0,X1)) = tl(app(sK58,sK11(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_21659]) ).
tcf(c_36181,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( app(tl(sK58),sK12(X0,X1)) = tl(app(sK58,sK12(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_21659]) ).
tcf(c_36182,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( app(tl(sK58),sK13(X0,X1)) = tl(app(sK58,sK13(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_21659]) ).
tcf(c_36183,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( app(tl(sK58),sK14(X0,X1)) = tl(app(sK58,sK14(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_21659]) ).
tcf(c_36193,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK34(X0)) = tl(app(sK58,sK34(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_21659]) ).
tcf(c_36194,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK33(X0)) = tl(app(sK58,sK33(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_21659]) ).
tcf(c_36195,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK32(X0)) = tl(app(sK58,sK32(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_21659]) ).
tcf(c_36196,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK39(X0)) = tl(app(sK58,sK39(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_21659]) ).
tcf(c_36197,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK38(X0)) = tl(app(sK58,sK38(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_21659]) ).
tcf(c_36198,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK37(X0)) = tl(app(sK58,sK37(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_21659]) ).
tcf(c_36199,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK44(X0)) = tl(app(sK58,sK44(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_21659]) ).
tcf(c_36200,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK43(X0)) = tl(app(sK58,sK43(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_21659]) ).
tcf(c_36201,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK42(X0)) = tl(app(sK58,sK42(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_21659]) ).
tcf(c_36202,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK48(X0)) = tl(app(sK58,sK48(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_21659]) ).
tcf(c_36203,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK47(X0)) = tl(app(sK58,sK47(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_21659]) ).
tcf(c_36204,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( app(tl(sK58),cons(X0,X1)) = tl(app(sK58,cons(X0,X1))) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_21659]) ).
tcf(c_36205,plain,
( ( nil = sK58 )
| ( app(tl(sK58),nil) = tl(app(sK58,nil)) ) ),
inference(superposition,[status(thm)],[c_141,c_21659]) ).
tcf(c_36206,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ( app(tl(sK58),sK49(X0)) = tl(app(sK58,sK49(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_21659]) ).
tcf(c_36207,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ( app(tl(sK58),tl(X0)) = tl(app(sK58,tl(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_21659]) ).
tcf(c_36208,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ( app(tl(sK58),sK52(X0)) = tl(app(sK58,sK52(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_21659]) ).
tcf(c_36209,plain,
( ( nil = sK58 )
| ( app(tl(sK58),sK59) = tl(app(sK58,sK59)) ) ),
inference(superposition,[status(thm)],[c_8916,c_21659]) ).
tcf(c_36210,plain,
( ( nil = sK58 )
| ( app(tl(sK58),sK58) = tl(app(sK58,sK58)) ) ),
inference(superposition,[status(thm)],[c_8915,c_21659]) ).
tcf(c_36211,plain,
( ( nil = sK58 )
| ( app(tl(sK58),sK56) = tl(app(sK58,sK56)) ) ),
inference(superposition,[status(thm)],[c_8907,c_21659]) ).
tcf(c_36212,plain,
( ( nil = sK58 )
| ( app(tl(sK58),iPr_def_12) = tl(app(sK58,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_12842,c_21659]) ).
tcf(c_36213,plain,
( ( nil = sK58 )
| ( app(tl(sK58),iPr_def_11) = tl(app(sK58,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_12706,c_21659]) ).
tcf(c_36214,plain,
( ( nil = sK58 )
| ( app(tl(sK58),iPr_def_10) = tl(app(sK58,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_18245,c_21659]) ).
tcf(c_36215,plain,
( ( nil = sK59 )
| ( nil = sK58 )
| ( app(tl(sK58),tl(sK59)) = tl(app(sK58,tl(sK59))) ) ),
inference(superposition,[status(thm)],[c_15329,c_21659]) ).
tcf(c_36216,plain,
( ( nil = sK58 )
| ( app(tl(sK58),tl(sK58)) = tl(app(sK58,tl(sK58))) ) ),
inference(superposition,[status(thm)],[c_15365,c_21659]) ).
tcf(c_36217,plain,
( ( nil = sK56 )
| ( nil = sK58 )
| ( app(tl(sK58),tl(sK56)) = tl(app(sK58,tl(sK56))) ) ),
inference(superposition,[status(thm)],[c_15756,c_21659]) ).
tcf(c_36218,plain,
( ( nil = sK58 )
| ( app(tl(sK58),tl(iPr_def_10)) = tl(app(sK58,tl(iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_27219,c_21659]) ).
tcf(c_36219,plain,
( ( nil = sK58 )
| ( app(tl(sK58),tl(iPr_def_12)) = tl(app(sK58,tl(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_19014,c_21659]) ).
tcf(c_36222,plain,
( ( nil = sK58 )
| ( app(tl(sK58),iPr_def_11) = tl(iPr_def_12) ) ),
inference(light_normalisation,[status(thm)],[c_36213,c_8904]) ).
tcf(c_36436,plain,
( ssList(app(tl(sK58),sK59))
| ( nil = sK58 )
| ( app(sK58,sK59) = nil )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_36209,c_151]) ).
tcf(c_36445,plain,
( ssList(app(tl(sK58),sK58))
| ( nil = sK58 )
| ( app(sK58,sK58) = nil )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_36210,c_151]) ).
tcf(c_36454,plain,
( ssList(app(tl(sK58),sK56))
| ( nil = sK58 )
| ( app(sK58,sK56) = nil )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_36211,c_151]) ).
tcf(c_36465,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( app(tl(sK56),sK8(X0,X1)) = tl(app(sK56,sK8(X0,X1))) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_21660]) ).
tcf(c_36466,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( app(tl(sK56),sK9(X0,X1)) = tl(app(sK56,sK9(X0,X1))) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_21660]) ).
tcf(c_36467,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( app(tl(sK56),app(X0,X1)) = tl(app(sK56,app(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_21660]) ).
tcf(c_36468,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( app(tl(sK56),sK11(X0,X1)) = tl(app(sK56,sK11(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_21660]) ).
tcf(c_36469,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( app(tl(sK56),sK12(X0,X1)) = tl(app(sK56,sK12(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_21660]) ).
tcf(c_36470,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( app(tl(sK56),sK13(X0,X1)) = tl(app(sK56,sK13(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_21660]) ).
tcf(c_36471,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( app(tl(sK56),sK14(X0,X1)) = tl(app(sK56,sK14(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_21660]) ).
tcf(c_36481,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK34(X0)) = tl(app(sK56,sK34(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_21660]) ).
tcf(c_36482,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK33(X0)) = tl(app(sK56,sK33(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_21660]) ).
tcf(c_36483,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK32(X0)) = tl(app(sK56,sK32(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_21660]) ).
tcf(c_36484,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK39(X0)) = tl(app(sK56,sK39(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_21660]) ).
tcf(c_36485,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK38(X0)) = tl(app(sK56,sK38(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_21660]) ).
tcf(c_36486,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK37(X0)) = tl(app(sK56,sK37(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_21660]) ).
tcf(c_36487,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK44(X0)) = tl(app(sK56,sK44(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_21660]) ).
tcf(c_36488,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK43(X0)) = tl(app(sK56,sK43(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_21660]) ).
tcf(c_36489,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK42(X0)) = tl(app(sK56,sK42(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_21660]) ).
tcf(c_36490,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK48(X0)) = tl(app(sK56,sK48(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_21660]) ).
tcf(c_36491,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK47(X0)) = tl(app(sK56,sK47(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_21660]) ).
tcf(c_36492,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( app(tl(sK56),cons(X0,X1)) = tl(app(sK56,cons(X0,X1))) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_21660]) ).
tcf(c_36493,plain,
( ( nil = sK56 )
| ( app(tl(sK56),nil) = tl(app(sK56,nil)) ) ),
inference(superposition,[status(thm)],[c_141,c_21660]) ).
tcf(c_36494,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( app(tl(sK56),sK49(X0)) = tl(app(sK56,sK49(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_21660]) ).
tcf(c_36495,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( app(tl(sK56),tl(X0)) = tl(app(sK56,tl(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_21660]) ).
tcf(c_36496,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( app(tl(sK56),sK52(X0)) = tl(app(sK56,sK52(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_21660]) ).
tcf(c_36497,plain,
( ( nil = sK56 )
| ( app(tl(sK56),sK59) = tl(app(sK56,sK59)) ) ),
inference(superposition,[status(thm)],[c_8916,c_21660]) ).
tcf(c_36498,plain,
( ( nil = sK56 )
| ( app(tl(sK56),sK58) = tl(app(sK56,sK58)) ) ),
inference(superposition,[status(thm)],[c_8915,c_21660]) ).
tcf(c_36499,plain,
( ( nil = sK56 )
| ( app(tl(sK56),sK56) = tl(app(sK56,sK56)) ) ),
inference(superposition,[status(thm)],[c_8907,c_21660]) ).
tcf(c_36500,plain,
( ( nil = sK56 )
| ( app(tl(sK56),iPr_def_12) = tl(app(sK56,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_12842,c_21660]) ).
tcf(c_36501,plain,
( ( nil = sK56 )
| ( app(tl(sK56),iPr_def_11) = tl(app(sK56,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_12706,c_21660]) ).
tcf(c_36502,plain,
( ( nil = sK56 )
| ( app(tl(sK56),iPr_def_10) = tl(app(sK56,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_18245,c_21660]) ).
tcf(c_36503,plain,
( ( nil = sK56 )
| ( nil = sK59 )
| ( app(tl(sK56),tl(sK59)) = tl(app(sK56,tl(sK59))) ) ),
inference(superposition,[status(thm)],[c_15329,c_21660]) ).
tcf(c_36504,plain,
( ( nil = sK56 )
| ( nil = sK58 )
| ( app(tl(sK56),tl(sK58)) = tl(app(sK56,tl(sK58))) ) ),
inference(superposition,[status(thm)],[c_15365,c_21660]) ).
tcf(c_36505,plain,
( ( nil = sK56 )
| ( app(tl(sK56),tl(sK56)) = tl(app(sK56,tl(sK56))) ) ),
inference(superposition,[status(thm)],[c_15756,c_21660]) ).
tcf(c_36506,plain,
( ( nil = sK56 )
| ( app(tl(sK56),tl(iPr_def_10)) = tl(app(sK56,tl(iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_27219,c_21660]) ).
tcf(c_36507,plain,
( ( nil = sK56 )
| ( app(tl(sK56),tl(iPr_def_12)) = tl(app(sK56,tl(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_19014,c_21660]) ).
tcf(c_36729,plain,
( ssList(app(tl(sK56),sK59))
| ( nil = sK56 )
| ( app(sK56,sK59) = nil )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_36497,c_151]) ).
tcf(c_36746,plain,
( ssList(app(tl(sK56),sK58))
| ( nil = sK56 )
| ( app(sK56,sK58) = nil )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_36498,c_151]) ).
tcf(c_36751,plain,
cons(sK50(iPr_def_12),sK49(iPr_def_12)) = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_15487,c_15487,c_17651]) ).
tcf(c_36753,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ ssList(app(app(X0,cons(sK50(iPr_def_12),X1)),iPr_def_12))
| ~ duplicatefreeP(app(app(X0,cons(sK50(iPr_def_12),X1)),cons(sK50(iPr_def_12),sK49(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_36751,c_130]) ).
tcf(c_36754,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK50(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK50(iPr_def_12),sK49(iPr_def_12))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_36751,c_122]) ).
tcf(c_36755,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK50(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK50(iPr_def_12),sK49(iPr_def_12))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_36751,c_114]) ).
tcf(c_36756,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ ssList(app(app(X0,iPr_def_12),cons(sK50(iPr_def_12),X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(iPr_def_12),sK49(iPr_def_12))),cons(sK50(iPr_def_12),X1))) ),
inference(superposition,[status(thm)],[c_36751,c_130]) ).
tcf(c_36760,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_12),sK50(iPr_def_12))
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ ssList(app(X0,cons(sK50(iPr_def_12),sK49(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_36751,c_54]) ).
tcf(c_36761,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(iPr_def_12))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK50(iPr_def_12),sK49(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_36751,c_122]) ).
tcf(c_36762,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(iPr_def_12))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK50(iPr_def_12),sK49(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_36751,c_114]) ).
tcf(c_36766,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_12) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ ssList(app(X0,cons(X1,iPr_def_12)))
| ~ equalelemsP(app(X0,cons(X1,cons(sK50(iPr_def_12),sK49(iPr_def_12))))) ),
inference(superposition,[status(thm)],[c_36751,c_137]) ).
tcf(c_36769,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_12) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(superposition,[status(thm)],[c_36751,c_178]) ).
tcf(c_36770,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,sK49(iPr_def_12))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(superposition,[status(thm)],[c_36751,c_179]) ).
tcf(c_36771,plain,
( ( sK50(iPr_def_12) = sK57 )
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_36751,c_27481]) ).
tcf(c_36772,plain,
( ( sK50(iPr_def_12) = sK57 )
| ~ frontsegP(iPr_def_12,iPr_def_11)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_36751,c_27471]) ).
tcf(c_36773,plain,
( frontsegP(nil,sK49(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_36751,c_26657]) ).
tcf(c_36774,plain,
! [X0: $i,X1: $i] :
( ( sK49(iPr_def_12) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_36751,c_144]) ).
tcf(c_36775,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_12) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_36751,c_143]) ).
tcf(c_36776,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_12) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_36751,c_178]) ).
tcf(c_36777,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK49(iPr_def_12),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_36751,c_179]) ).
tcf(c_36778,plain,
! [X0: $i] :
( memberP(sK49(iPr_def_12),X0)
| ( sK50(iPr_def_12) = X0 )
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_36751,c_170]) ).
tcf(c_36779,plain,
( lt(sK50(iPr_def_12),hd(sK49(iPr_def_12)))
| ( sK49(iPr_def_12) = nil )
| ~ strictorderedP(iPr_def_12)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_36751,c_214]) ).
tcf(c_36780,plain,
( leq(sK50(iPr_def_12),hd(sK49(iPr_def_12)))
| ( sK49(iPr_def_12) = nil )
| ~ totalorderedP(iPr_def_12)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_36751,c_208]) ).
tcf(c_36781,plain,
( strictorderedP(sK49(iPr_def_12))
| ( sK49(iPr_def_12) = nil )
| ~ strictorderedP(iPr_def_12)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_36751,c_213]) ).
tcf(c_36782,plain,
( totalorderedP(sK49(iPr_def_12))
| ( sK49(iPr_def_12) = nil )
| ~ totalorderedP(iPr_def_12)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_36751,c_207]) ).
tcf(c_36784,plain,
( ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ( sK49(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_36751,c_142]) ).
tcf(c_36785,plain,
( memberP(iPr_def_12,sK50(iPr_def_12))
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_36751,c_168]) ).
tcf(c_36787,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,cons(sK50(iPr_def_12),X0))
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ frontsegP(sK49(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_36751,c_177]) ).
tcf(c_36788,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ memberP(sK49(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_36751,c_169]) ).
tcf(c_36789,plain,
! [X0: $i] :
( frontsegP(cons(sK50(iPr_def_12),X0),iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ frontsegP(X0,sK49(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_36751,c_177]) ).
tcf(c_36885,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_12),sK50(iPr_def_12))
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ ssList(app(X0,iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_36760,c_36751]) ).
tcf(c_36939,plain,
! [X0: $i,X1: $i] :
( ( sK50(iPr_def_12) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(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_36766,c_36751]) ).
tcf(c_36947,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ duplicatefreeP(app(app(X0,iPr_def_12),cons(sK50(iPr_def_12),X1)))
| ~ ssList(app(app(X0,iPr_def_12),cons(sK50(iPr_def_12),X1))) ),
inference(light_normalisation,[status(thm)],[c_36756,c_36751]) ).
tcf(c_36954,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ duplicatefreeP(app(app(X0,cons(sK50(iPr_def_12),X1)),iPr_def_12))
| ~ ssList(app(app(X0,cons(sK50(iPr_def_12),X1)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_36753,c_36751]) ).
tcf(c_36961,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(iPr_def_12))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(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_36762,c_36751]) ).
tcf(c_36970,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(iPr_def_12))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(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_36761,c_36751]) ).
tcf(c_36979,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK50(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(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_36755,c_36751]) ).
tcf(c_36988,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK50(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(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_36754,c_36751]) ).
tcf(c_37159,plain,
( ssList(app(tl(sK56),sK56))
| ( nil = sK56 )
| ( app(sK56,sK56) = nil )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_36499,c_151]) ).
tcf(c_37174,plain,
( ( sK57 = sK60 )
| ~ ssList(nil)
| ~ ssItem(sK60)
| ( iPr_def_10 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_8902,c_27744]) ).
tcf(c_37175,plain,
( ( nil = sK59 )
| ( sK50(sK59) = sK57 )
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15483,c_27744]) ).
tcf(c_37176,plain,
( ( nil = sK58 )
| ( sK50(sK58) = sK57 )
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ( sK58 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15484,c_27744]) ).
tcf(c_37177,plain,
( ( nil = sK56 )
| ( sK50(sK56) = sK57 )
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ( sK56 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15485,c_27744]) ).
tcf(c_37178,plain,
( ( sK50(iPr_def_12) = sK57 )
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ( iPr_def_11 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_36751,c_27744]) ).
tcf(c_37180,plain,
( ( sK50(iPr_def_10) = sK57 )
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ( iPr_def_10 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_35680,c_27744]) ).
tcf(c_37181,plain,
( ( nil = sK59 )
| ( hd(sK59) = sK57 )
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16297,c_27744]) ).
tcf(c_37182,plain,
( ( nil = sK58 )
| ( hd(sK58) = sK57 )
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ( sK58 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16298,c_27744]) ).
tcf(c_37183,plain,
( ( nil = sK56 )
| ( hd(sK56) = sK57 )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ( sK56 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16299,c_27744]) ).
tcf(c_37184,plain,
( ( sK57 = sK60 )
| ( iPr_def_10 != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37174,c_141,c_18252]) ).
tcf(c_37244,plain,
( ( nil = sK59 )
| ( sK49(sK59) = nil )
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15483,c_27842]) ).
tcf(c_37245,plain,
( ( nil = sK58 )
| ( sK49(sK58) = nil )
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ( sK58 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15484,c_27842]) ).
tcf(c_37246,plain,
( ( nil = sK56 )
| ( sK49(sK56) = nil )
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ( sK56 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15485,c_27842]) ).
tcf(c_37247,plain,
( ( sK49(iPr_def_12) = nil )
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ( iPr_def_11 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_36751,c_27842]) ).
tcf(c_37248,plain,
( ( sK49(iPr_def_11) = nil )
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15492,c_27842]) ).
tcf(c_37249,plain,
( ( sK49(iPr_def_10) = nil )
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ( iPr_def_10 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_35680,c_27842]) ).
tcf(c_37250,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16297,c_27842]) ).
tcf(c_37251,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ( sK58 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16298,c_27842]) ).
tcf(c_37252,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ( sK56 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16299,c_27842]) ).
tcf(c_37331,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(sK57,app(X2,sK8(X0,X1))) = app(cons(sK57,X2),sK8(X0,X1)) )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_22147]) ).
tcf(c_37332,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(sK57,app(X2,sK9(X0,X1))) = app(cons(sK57,X2),sK9(X0,X1)) )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_22147]) ).
tcf(c_37333,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(sK57,app(X2,app(X0,X1))) = app(cons(sK57,X2),app(X0,X1)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_22147]) ).
tcf(c_37334,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(sK57,app(X2,sK11(X0,X1))) = app(cons(sK57,X2),sK11(X0,X1)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_22147]) ).
tcf(c_37335,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(sK57,app(X2,sK12(X0,X1))) = app(cons(sK57,X2),sK12(X0,X1)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_22147]) ).
tcf(c_37336,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(sK57,app(X2,sK13(X0,X1))) = app(cons(sK57,X2),sK13(X0,X1)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_22147]) ).
tcf(c_37337,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(sK57,app(X2,sK14(X0,X1))) = app(cons(sK57,X2),sK14(X0,X1)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_22147]) ).
tcf(c_37347,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( cons(sK57,app(X1,sK34(X0))) = app(cons(sK57,X1),sK34(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_22147]) ).
tcf(c_37348,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( cons(sK57,app(X1,sK33(X0))) = app(cons(sK57,X1),sK33(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_22147]) ).
tcf(c_37349,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( cons(sK57,app(X1,sK32(X0))) = app(cons(sK57,X1),sK32(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_22147]) ).
tcf(c_37350,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( cons(sK57,app(X1,sK39(X0))) = app(cons(sK57,X1),sK39(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_22147]) ).
tcf(c_37351,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( cons(sK57,app(X1,sK38(X0))) = app(cons(sK57,X1),sK38(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_22147]) ).
tcf(c_37352,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( cons(sK57,app(X1,sK37(X0))) = app(cons(sK57,X1),sK37(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_22147]) ).
tcf(c_37353,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,app(X1,sK44(X0))) = app(cons(sK57,X1),sK44(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_22147]) ).
tcf(c_37354,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,app(X1,sK43(X0))) = app(cons(sK57,X1),sK43(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_22147]) ).
tcf(c_37355,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,app(X1,sK42(X0))) = app(cons(sK57,X1),sK42(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_22147]) ).
tcf(c_37356,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( cons(sK57,app(X1,sK48(X0))) = app(cons(sK57,X1),sK48(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_22147]) ).
tcf(c_37357,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( cons(sK57,app(X1,sK47(X0))) = app(cons(sK57,X1),sK47(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_22147]) ).
tcf(c_37358,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(sK57,app(X2,cons(X0,X1))) = app(cons(sK57,X2),cons(X0,X1)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_22147]) ).
tcf(c_37359,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,nil)) = app(cons(sK57,X0),nil) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_141,c_22147]) ).
tcf(c_37360,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( cons(sK57,app(X1,sK49(X0))) = app(cons(sK57,X1),sK49(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_22147]) ).
tcf(c_37361,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( cons(sK57,app(X1,tl(X0))) = app(cons(sK57,X1),tl(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_22147]) ).
tcf(c_37362,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( cons(sK57,app(X1,sK52(X0))) = app(cons(sK57,X1),sK52(X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_22147]) ).
tcf(c_37363,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,sK59)) = app(cons(sK57,X0),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8916,c_22147]) ).
tcf(c_37364,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,sK58)) = app(cons(sK57,X0),sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8915,c_22147]) ).
tcf(c_37365,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,sK56)) = app(cons(sK57,X0),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8907,c_22147]) ).
tcf(c_37366,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,iPr_def_12)) = app(cons(sK57,X0),iPr_def_12) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12842,c_22147]) ).
tcf(c_37367,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,iPr_def_11)) = app(cons(sK57,X0),iPr_def_11) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12706,c_22147]) ).
tcf(c_37368,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,iPr_def_10)) = app(cons(sK57,X0),iPr_def_10) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18245,c_22147]) ).
tcf(c_37369,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( cons(sK57,app(X0,tl(sK59))) = app(cons(sK57,X0),tl(sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15329,c_22147]) ).
tcf(c_37370,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( cons(sK57,app(X0,tl(sK58))) = app(cons(sK57,X0),tl(sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15365,c_22147]) ).
tcf(c_37371,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( cons(sK57,app(X0,tl(sK56))) = app(cons(sK57,X0),tl(sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15756,c_22147]) ).
tcf(c_37372,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,tl(iPr_def_10))) = app(cons(sK57,X0),tl(iPr_def_10)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_27219,c_22147]) ).
tcf(c_37373,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,tl(iPr_def_12))) = app(cons(sK57,X0),tl(iPr_def_12)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_19014,c_22147]) ).
tcf(c_37839,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK8(X0,X1),sK59)) = app(cons(sK57,sK8(X0,X1)),sK59) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_37363]) ).
tcf(c_37840,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK9(X0,X1),sK59)) = app(cons(sK57,sK9(X0,X1)),sK59) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_37363]) ).
tcf(c_37841,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(app(X0,X1),sK59)) = app(cons(sK57,app(X0,X1)),sK59) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_37363]) ).
tcf(c_37842,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK11(X0,X1),sK59)) = app(cons(sK57,sK11(X0,X1)),sK59) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_37363]) ).
tcf(c_37843,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK12(X0,X1),sK59)) = app(cons(sK57,sK12(X0,X1)),sK59) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_37363]) ).
tcf(c_37844,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK13(X0,X1),sK59)) = app(cons(sK57,sK13(X0,X1)),sK59) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_37363]) ).
tcf(c_37845,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK14(X0,X1),sK59)) = app(cons(sK57,sK14(X0,X1)),sK59) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_37363]) ).
tcf(c_37855,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,app(sK34(X0),sK59)) = app(cons(sK57,sK34(X0)),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_37363]) ).
tcf(c_37856,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,app(sK33(X0),sK59)) = app(cons(sK57,sK33(X0)),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_37363]) ).
tcf(c_37857,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,app(sK32(X0),sK59)) = app(cons(sK57,sK32(X0)),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_37363]) ).
tcf(c_37858,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,app(sK39(X0),sK59)) = app(cons(sK57,sK39(X0)),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_37363]) ).
tcf(c_37859,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,app(sK38(X0),sK59)) = app(cons(sK57,sK38(X0)),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_37363]) ).
tcf(c_37860,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,app(sK37(X0),sK59)) = app(cons(sK57,sK37(X0)),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_37363]) ).
tcf(c_37861,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,app(sK44(X0),sK59)) = app(cons(sK57,sK44(X0)),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_37363]) ).
tcf(c_37862,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,app(sK43(X0),sK59)) = app(cons(sK57,sK43(X0)),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_37363]) ).
tcf(c_37863,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,app(sK42(X0),sK59)) = app(cons(sK57,sK42(X0)),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_37363]) ).
tcf(c_37864,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( cons(sK57,app(sK48(X0),sK59)) = app(cons(sK57,sK48(X0)),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_37363]) ).
tcf(c_37865,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( cons(sK57,app(sK47(X0),sK59)) = app(cons(sK57,sK47(X0)),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_37363]) ).
tcf(c_37866,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(cons(X0,X1),sK59)) = app(cons(sK57,cons(X0,X1)),sK59) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_37363]) ).
tcf(c_37867,plain,
cons(sK57,app(nil,sK59)) = app(cons(sK57,nil),sK59),
inference(superposition,[status(thm)],[c_141,c_37363]) ).
tcf(c_37868,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,app(sK49(X0),sK59)) = app(cons(sK57,sK49(X0)),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_37363]) ).
tcf(c_37869,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,app(tl(X0),sK59)) = app(cons(sK57,tl(X0)),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_37363]) ).
tcf(c_37870,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,app(sK52(X0),sK59)) = app(cons(sK57,sK52(X0)),sK59) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_37363]) ).
tcf(c_37871,plain,
cons(sK57,app(sK59,sK59)) = app(cons(sK57,sK59),sK59),
inference(superposition,[status(thm)],[c_8916,c_37363]) ).
tcf(c_37872,plain,
cons(sK57,app(sK58,sK59)) = app(cons(sK57,sK58),sK59),
inference(superposition,[status(thm)],[c_8915,c_37363]) ).
tcf(c_37873,plain,
cons(sK57,app(sK56,sK59)) = app(cons(sK57,sK56),sK59),
inference(superposition,[status(thm)],[c_8907,c_37363]) ).
tcf(c_37874,plain,
cons(sK57,app(iPr_def_12,sK59)) = app(cons(sK57,iPr_def_12),sK59),
inference(superposition,[status(thm)],[c_12842,c_37363]) ).
tcf(c_37875,plain,
cons(sK57,app(iPr_def_11,sK59)) = app(cons(sK57,iPr_def_11),sK59),
inference(superposition,[status(thm)],[c_12706,c_37363]) ).
tcf(c_37876,plain,
cons(sK57,app(iPr_def_10,sK59)) = app(cons(sK57,iPr_def_10),sK59),
inference(superposition,[status(thm)],[c_18245,c_37363]) ).
tcf(c_37877,plain,
( ( nil = sK59 )
| ( cons(sK57,app(tl(sK59),sK59)) = app(cons(sK57,tl(sK59)),sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_37363]) ).
tcf(c_37878,plain,
( ( nil = sK58 )
| ( cons(sK57,app(tl(sK58),sK59)) = app(cons(sK57,tl(sK58)),sK59) ) ),
inference(superposition,[status(thm)],[c_15365,c_37363]) ).
tcf(c_37879,plain,
( ( nil = sK56 )
| ( cons(sK57,app(tl(sK56),sK59)) = app(cons(sK57,tl(sK56)),sK59) ) ),
inference(superposition,[status(thm)],[c_15756,c_37363]) ).
tcf(c_37880,plain,
cons(sK57,app(tl(iPr_def_10),sK59)) = app(cons(sK57,tl(iPr_def_10)),sK59),
inference(superposition,[status(thm)],[c_27219,c_37363]) ).
tcf(c_37881,plain,
cons(sK57,app(tl(iPr_def_12),sK59)) = app(cons(sK57,tl(iPr_def_12)),sK59),
inference(superposition,[status(thm)],[c_19014,c_37363]) ).
tcf(c_37882,plain,
app(cons(sK57,iPr_def_12),sK59) = cons(sK57,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_37874,c_18265]) ).
tcf(c_37883,plain,
cons(sK57,sK59) = app(iPr_def_11,sK59),
inference(light_normalisation,[status(thm)],[c_37867,c_12532,c_34910]) ).
tcf(c_38056,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(app(cons(sK57,sK59),sK59),X0)) ),
inference(superposition,[status(thm)],[c_37871,c_67]) ).
tcf(c_38059,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(cons(sK57,sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK59))
| ~ memberP(cons(sK57,app(sK59,sK59)),X0) ),
inference(superposition,[status(thm)],[c_37871,c_167]) ).
tcf(c_38060,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_37871,c_231]) ).
tcf(c_38061,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_37871,c_230]) ).
tcf(c_38062,plain,
( frontsegP(cons(sK57,app(sK59,sK59)),cons(sK57,sK59))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_37871,c_382]) ).
tcf(c_38063,plain,
( rearsegP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_37871,c_379]) ).
tcf(c_38064,plain,
( ssList(cons(sK57,app(sK59,sK59)))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_37871,c_153]) ).
tcf(c_38065,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != app(X0,sK59) ) ),
inference(superposition,[status(thm)],[c_37871,c_225]) ).
tcf(c_38066,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(cons(sK57,sK59),X0) != cons(sK57,app(sK59,sK59)) ) ),
inference(superposition,[status(thm)],[c_37871,c_226]) ).
tcf(c_38067,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_37871,c_176]) ).
tcf(c_38068,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK59))
| ~ memberP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_37871,c_165]) ).
tcf(c_38069,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK59)),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_37871,c_193]) ).
tcf(c_38070,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_37871,c_186]) ).
tcf(c_38071,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_37871,c_166]) ).
tcf(c_38072,plain,
( ( cons(sK57,sK59) = iPr_def_12 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_37871,c_25223]) ).
tcf(c_38073,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_37871,c_25211]) ).
tcf(c_38074,plain,
( ssList(cons(sK57,app(sK59,sK59)))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38064,c_8916]) ).
tcf(c_38077,plain,
( rearsegP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38063,c_8916]) ).
tcf(c_38080,plain,
( frontsegP(cons(sK57,app(sK59,sK59)),cons(sK57,sK59))
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38062,c_8916]) ).
tcf(c_38089,plain,
( ( nil = sK59 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38061,c_8916]) ).
tcf(c_38093,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38071,c_8916]) ).
tcf(c_38098,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38070,c_8916]) ).
tcf(c_38103,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38060,c_8916]) ).
tcf(c_38107,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK59))
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38068,c_8916]) ).
tcf(c_38112,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38067,c_8916]) ).
tcf(c_38117,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38069,c_8916]) ).
tcf(c_38123,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(cons(sK57,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK59))
| ~ memberP(cons(sK57,app(sK59,sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38059,c_8916]) ).
tcf(c_38129,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(cons(sK57,sK59),X0) != cons(sK57,app(sK59,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38066,c_8916]) ).
tcf(c_38134,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38065,c_8916]) ).
tcf(c_38139,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(cons(sK57,app(sK59,sK59)),X0)) ),
inference(light_normalisation,[status(thm)],[c_38056,c_37871]) ).
tcf(c_38140,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(cons(sK57,app(sK59,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38139,c_8916]) ).
tcf(c_38205,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK59,sK59))) = app(X0,app(X1,cons(sK57,app(sK59,sK59)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_228]) ).
tcf(c_38206,plain,
( ( cons(sK57,app(cons(sK57,app(sK59,sK59)),sK59)) = app(cons(sK57,cons(sK57,app(sK59,sK59))),sK59) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_37363]) ).
tcf(c_38207,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK59,sK59)))) = app(cons(sK57,X0),cons(sK57,app(sK59,sK59))) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_22147]) ).
tcf(c_38208,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK59,sK59))) = tl(app(sK56,cons(sK57,app(sK59,sK59)))) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_21660]) ).
tcf(c_38209,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK59,sK59))) = tl(app(sK58,cons(sK57,app(sK59,sK59)))) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_21659]) ).
tcf(c_38210,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK59,sK59))) = tl(app(sK59,cons(sK57,app(sK59,sK59)))) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_21658]) ).
tcf(c_38211,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK59)))
| ( app(app(sK42(cons(sK57,app(sK59,sK59))),cons(sK40(cons(sK57,app(sK59,sK59))),sK43(cons(sK57,app(sK59,sK59))))),cons(sK41(cons(sK57,app(sK59,sK59))),sK44(cons(sK57,app(sK59,sK59))))) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_124]) ).
tcf(c_38212,plain,
( strictorderedP(cons(sK57,app(sK59,sK59)))
| ( app(app(sK37(cons(sK57,app(sK59,sK59))),cons(sK35(cons(sK57,app(sK59,sK59))),sK38(cons(sK57,app(sK59,sK59))))),cons(sK36(cons(sK57,app(sK59,sK59))),sK39(cons(sK57,app(sK59,sK59))))) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_116]) ).
tcf(c_38213,plain,
( totalorderedP(cons(sK57,app(sK59,sK59)))
| ( app(app(sK32(cons(sK57,app(sK59,sK59))),cons(sK30(cons(sK57,app(sK59,sK59))),sK33(cons(sK57,app(sK59,sK59))))),cons(sK31(cons(sK57,app(sK59,sK59))),sK34(cons(sK57,app(sK59,sK59))))) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_108]) ).
tcf(c_38214,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK59,sK59)))) = hd(sK56) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_19187]) ).
tcf(c_38215,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( app(tl(cons(sK57,app(sK59,sK59))),X0) = tl(app(cons(sK57,app(sK59,sK59)),X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_234]) ).
tcf(c_38216,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK59,sK59)))) = hd(sK58) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_19186]) ).
tcf(c_38217,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK59,sK59)))) = hd(sK59) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_19185]) ).
tcf(c_38218,plain,
( equalelemsP(cons(sK57,app(sK59,sK59)))
| ( app(sK47(cons(sK57,app(sK59,sK59))),cons(sK45(cons(sK57,app(sK59,sK59))),cons(sK46(cons(sK57,app(sK59,sK59))),sK48(cons(sK57,app(sK59,sK59)))))) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_132]) ).
tcf(c_38219,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( hd(app(cons(sK57,app(sK59,sK59)),X0)) = hd(cons(sK57,app(sK59,sK59))) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_233]) ).
tcf(c_38220,plain,
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( cons(hd(cons(sK57,app(sK59,sK59))),tl(cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_224]) ).
tcf(c_38221,plain,
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( cons(sK50(cons(sK57,app(sK59,sK59))),sK49(cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_147]) ).
tcf(c_38222,plain,
( ( tl(cons(sK57,cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_13997]) ).
tcf(c_38223,plain,
( ( hd(cons(sK57,cons(sK57,app(sK59,sK59)))) = sK57 )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_13821]) ).
tcf(c_38224,plain,
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( tl(cons(sK57,app(sK59,sK59))) = sK52(cons(sK57,app(sK59,sK59))) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_222]) ).
tcf(c_38225,plain,
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( hd(cons(sK57,app(sK59,sK59))) = sK51(cons(sK57,app(sK59,sK59))) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_220]) ).
tcf(c_38226,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK59)))
| ( sK40(cons(sK57,app(sK59,sK59))) = sK41(cons(sK57,app(sK59,sK59))) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_123]) ).
tcf(c_38227,plain,
( ( app(cons(sK57,app(sK59,sK59)),nil) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_232]) ).
tcf(c_38228,plain,
( ( app(nil,cons(sK57,app(sK59,sK59))) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38074,c_155]) ).
tcf(c_38346,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(app(app(cons(sK57,sK58),sK59),X0)) ),
inference(superposition,[status(thm)],[c_37872,c_67]) ).
tcf(c_38349,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(cons(sK57,sK58),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK58))
| ~ memberP(cons(sK57,app(sK58,sK59)),X0) ),
inference(superposition,[status(thm)],[c_37872,c_167]) ).
tcf(c_38350,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_37872,c_231]) ).
tcf(c_38351,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_37872,c_230]) ).
tcf(c_38352,plain,
( frontsegP(cons(sK57,app(sK58,sK59)),cons(sK57,sK58))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_37872,c_382]) ).
tcf(c_38353,plain,
( rearsegP(cons(sK57,app(sK58,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_37872,c_379]) ).
tcf(c_38354,plain,
( ssList(cons(sK57,app(sK58,sK59)))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_37872,c_153]) ).
tcf(c_38355,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK59)) != app(X0,sK59) ) ),
inference(superposition,[status(thm)],[c_37872,c_225]) ).
tcf(c_38356,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ( app(cons(sK57,sK58),X0) != cons(sK57,app(sK58,sK59)) ) ),
inference(superposition,[status(thm)],[c_37872,c_226]) ).
tcf(c_38357,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ frontsegP(cons(sK57,sK58),X0) ),
inference(superposition,[status(thm)],[c_37872,c_176]) ).
tcf(c_38358,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK58))
| ~ memberP(cons(sK57,sK58),X0) ),
inference(superposition,[status(thm)],[c_37872,c_165]) ).
tcf(c_38359,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK58,sK59)),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_37872,c_193]) ).
tcf(c_38360,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_37872,c_186]) ).
tcf(c_38361,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_37872,c_166]) ).
tcf(c_38362,plain,
( ( cons(sK57,sK58) = iPr_def_12 )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_37872,c_25223]) ).
tcf(c_38363,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_37872,c_25211]) ).
tcf(c_38364,plain,
( ssList(cons(sK57,app(sK58,sK59)))
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38354,c_8916]) ).
tcf(c_38367,plain,
( rearsegP(cons(sK57,app(sK58,sK59)),sK59)
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38353,c_8916]) ).
tcf(c_38370,plain,
( frontsegP(cons(sK57,app(sK58,sK59)),cons(sK57,sK58))
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38352,c_8916]) ).
tcf(c_38379,plain,
( ( nil = sK59 )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38351,c_8916]) ).
tcf(c_38383,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38361,c_8916]) ).
tcf(c_38388,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38360,c_8916]) ).
tcf(c_38393,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38350,c_8916]) ).
tcf(c_38397,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK58))
| ~ memberP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38358,c_8916]) ).
tcf(c_38402,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ frontsegP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38357,c_8916]) ).
tcf(c_38407,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK58,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38359,c_8916]) ).
tcf(c_38413,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(cons(sK57,sK58),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK58))
| ~ memberP(cons(sK57,app(sK58,sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38349,c_8916]) ).
tcf(c_38419,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ( app(cons(sK57,sK58),X0) != cons(sK57,app(sK58,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38356,c_8916]) ).
tcf(c_38424,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38355,c_8916]) ).
tcf(c_38429,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(app(cons(sK57,app(sK58,sK59)),X0)) ),
inference(light_normalisation,[status(thm)],[c_38346,c_37872]) ).
tcf(c_38430,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(app(cons(sK57,app(sK58,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38429,c_8916]) ).
tcf(c_38473,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),sK59)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_11,sK59),X0)) ),
inference(superposition,[status(thm)],[c_37883,c_67]) ).
tcf(c_38476,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK59,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_37883,c_167]) ).
tcf(c_38477,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ( cons(sK57,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_37883,c_231]) ).
tcf(c_38478,plain,
( ( nil = sK59 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ( cons(sK57,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_37883,c_230]) ).
tcf(c_38479,plain,
( frontsegP(cons(sK57,sK59),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_37883,c_382]) ).
tcf(c_38480,plain,
( rearsegP(cons(sK57,sK59),sK59)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_37883,c_379]) ).
tcf(c_38481,plain,
( ssList(cons(sK57,sK59))
| ~ ssList(iPr_def_11)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_37883,c_153]) ).
tcf(c_38482,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssList(X0)
| ( app(X0,sK59) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_37883,c_225]) ).
tcf(c_38483,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_37883,c_226]) ).
tcf(c_38484,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_37883,c_176]) ).
tcf(c_38485,plain,
! [X0: $i] :
( memberP(cons(sK57,sK59),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_37883,c_165]) ).
tcf(c_38486,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK59),X1),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_37883,c_193]) ).
tcf(c_38487,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(superposition,[status(thm)],[c_37883,c_186]) ).
tcf(c_38488,plain,
! [X0: $i] :
( memberP(cons(sK57,sK59),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(superposition,[status(thm)],[c_37883,c_166]) ).
tcf(c_38489,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_37883,c_25223]) ).
tcf(c_38490,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_37883,c_25211]) ).
tcf(c_38491,plain,
ssList(cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_38481,c_12706,c_8916]) ).
tcf(c_38492,plain,
rearsegP(cons(sK57,sK59),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_38480,c_12706,c_8916]) ).
tcf(c_38493,plain,
frontsegP(cons(sK57,sK59),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_38479,c_12706,c_8916]) ).
tcf(c_38494,plain,
cons(sK57,sK59) != sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_38490,c_13775,c_12706]) ).
tcf(c_38495,plain,
( ( iPr_def_11 = iPr_def_12 )
| ( cons(sK57,sK59) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38489,c_12706]) ).
tcf(c_38501,plain,
cons(sK57,sK59) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_38477,c_13775,c_12706,c_8916]) ).
tcf(c_38502,plain,
! [X0: $i] :
( memberP(cons(sK57,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38488,c_12706,c_8916]) ).
tcf(c_38506,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38487,c_12706,c_8916]) ).
tcf(c_38510,plain,
! [X0: $i] :
( memberP(cons(sK57,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38485,c_12706,c_8916]) ).
tcf(c_38514,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38484,c_12706,c_8916]) ).
tcf(c_38518,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK59,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38476,c_12706,c_8916]) ).
tcf(c_38523,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38483,c_12706,c_8916]) ).
tcf(c_38527,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,sK59) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38482,c_12706,c_8916]) ).
tcf(c_38531,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK59),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38486,c_12706,c_8916]) ).
tcf(c_38536,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),sK59)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(light_normalisation,[status(thm)],[c_38473,c_37883]) ).
tcf(c_38537,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38536,c_12706,c_8916]) ).
tcf(c_38541,plain,
ssList(cons(sK57,app(sK59,sK59))),
inference(backward_subsumption_resolution,[status(thm)],[c_38074,c_38491]) ).
tcf(c_38575,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,sK59)) = app(X0,app(X1,cons(sK57,sK59))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_38491,c_228]) ).
tcf(c_38576,plain,
cons(sK57,app(cons(sK57,sK59),sK59)) = app(cons(sK57,cons(sK57,sK59)),sK59),
inference(superposition,[status(thm)],[c_38491,c_37363]) ).
tcf(c_38577,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,sK59))) = app(cons(sK57,X0),cons(sK57,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_38491,c_22147]) ).
tcf(c_38578,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,sK59)) = tl(app(sK56,cons(sK57,sK59))) ) ),
inference(superposition,[status(thm)],[c_38491,c_21660]) ).
tcf(c_38579,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,sK59)) = tl(app(sK58,cons(sK57,sK59))) ) ),
inference(superposition,[status(thm)],[c_38491,c_21659]) ).
tcf(c_38580,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,sK59)) = tl(app(sK59,cons(sK57,sK59))) ) ),
inference(superposition,[status(thm)],[c_38491,c_21658]) ).
tcf(c_38581,plain,
( duplicatefreeP(cons(sK57,sK59))
| ( app(app(sK42(cons(sK57,sK59)),cons(sK40(cons(sK57,sK59)),sK43(cons(sK57,sK59)))),cons(sK41(cons(sK57,sK59)),sK44(cons(sK57,sK59)))) = cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_38491,c_124]) ).
tcf(c_38582,plain,
( strictorderedP(cons(sK57,sK59))
| ( app(app(sK37(cons(sK57,sK59)),cons(sK35(cons(sK57,sK59)),sK38(cons(sK57,sK59)))),cons(sK36(cons(sK57,sK59)),sK39(cons(sK57,sK59)))) = cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_38491,c_116]) ).
tcf(c_38583,plain,
( totalorderedP(cons(sK57,sK59))
| ( app(app(sK32(cons(sK57,sK59)),cons(sK30(cons(sK57,sK59)),sK33(cons(sK57,sK59)))),cons(sK31(cons(sK57,sK59)),sK34(cons(sK57,sK59)))) = cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_38491,c_108]) ).
tcf(c_38584,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,sK59))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_38491,c_19187]) ).
tcf(c_38585,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = nil )
| ( app(tl(cons(sK57,sK59)),X0) = tl(app(cons(sK57,sK59),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_38491,c_234]) ).
tcf(c_38586,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,sK59))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_38491,c_19186]) ).
tcf(c_38587,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,sK59))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_38491,c_19185]) ).
tcf(c_38588,plain,
( equalelemsP(cons(sK57,sK59))
| ( app(sK47(cons(sK57,sK59)),cons(sK45(cons(sK57,sK59)),cons(sK46(cons(sK57,sK59)),sK48(cons(sK57,sK59))))) = cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_38491,c_132]) ).
tcf(c_38589,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = nil )
| ( hd(app(cons(sK57,sK59),X0)) = hd(cons(sK57,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_38491,c_233]) ).
tcf(c_38590,plain,
( ( cons(sK57,sK59) = nil )
| ( cons(hd(cons(sK57,sK59)),tl(cons(sK57,sK59))) = cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_38491,c_224]) ).
tcf(c_38591,plain,
( ( cons(sK57,sK59) = nil )
| ( cons(sK50(cons(sK57,sK59)),sK49(cons(sK57,sK59))) = cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_38491,c_147]) ).
tcf(c_38592,plain,
tl(cons(sK57,cons(sK57,sK59))) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_38491,c_13997]) ).
tcf(c_38593,plain,
hd(cons(sK57,cons(sK57,sK59))) = sK57,
inference(superposition,[status(thm)],[c_38491,c_13821]) ).
tcf(c_38594,plain,
( ( cons(sK57,sK59) = nil )
| ( tl(cons(sK57,sK59)) = sK52(cons(sK57,sK59)) ) ),
inference(superposition,[status(thm)],[c_38491,c_222]) ).
tcf(c_38595,plain,
( ( cons(sK57,sK59) = nil )
| ( hd(cons(sK57,sK59)) = sK51(cons(sK57,sK59)) ) ),
inference(superposition,[status(thm)],[c_38491,c_220]) ).
tcf(c_38596,plain,
( duplicatefreeP(cons(sK57,sK59))
| ( sK40(cons(sK57,sK59)) = sK41(cons(sK57,sK59)) ) ),
inference(superposition,[status(thm)],[c_38491,c_123]) ).
tcf(c_38597,plain,
app(cons(sK57,sK59),nil) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_38491,c_232]) ).
tcf(c_38598,plain,
app(nil,cons(sK57,sK59)) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_38491,c_155]) ).
tcf(c_38607,plain,
( ( cons(sK57,sK59) = nil )
| ( sK51(cons(sK57,sK59)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_38595,c_14667]) ).
tcf(c_38610,plain,
( ( cons(sK57,sK59) = nil )
| ( sK52(cons(sK57,sK59)) = sK59 ) ),
inference(light_normalisation,[status(thm)],[c_38594,c_14839]) ).
tcf(c_38613,plain,
cons(sK57,cons(sK57,app(sK59,sK59))) = app(cons(sK57,cons(sK57,sK59)),sK59),
inference(light_normalisation,[status(thm)],[c_38576,c_37871]) ).
tcf(c_38625,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = nil )
| ( hd(app(cons(sK57,sK59),X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_38589,c_14667]) ).
tcf(c_38632,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = nil )
| ( tl(app(cons(sK57,sK59),X0)) = app(sK59,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_38585,c_14839]) ).
tcf(c_38681,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38492,c_183]) ).
tcf(c_38682,plain,
( ( cons(sK57,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59))
| ~ rearsegP(sK59,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38492,c_184]) ).
tcf(c_38683,plain,
( ( app(sK12(cons(sK57,sK59),sK59),sK59) = cons(sK57,sK59) )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38492,c_66]) ).
tcf(c_38684,plain,
app(sK12(cons(sK57,sK59),sK59),sK59) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_38683,c_8916,c_38491]) ).
tcf(c_38685,plain,
( ( cons(sK57,sK59) = sK59 )
| ~ rearsegP(sK59,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38682,c_8916,c_38491]) ).
tcf(c_38689,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38493,c_173]) ).
tcf(c_38690,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(iPr_def_11,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38493,c_174]) ).
tcf(c_38691,plain,
( ( app(iPr_def_11,sK11(cons(sK57,sK59),iPr_def_11)) = cons(sK57,sK59) )
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38493,c_63]) ).
tcf(c_38693,plain,
app(iPr_def_11,sK11(cons(sK57,sK59),iPr_def_11)) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_38691,c_12706,c_38491]) ).
tcf(c_38694,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ~ frontsegP(iPr_def_11,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38690,c_12706,c_38491]) ).
tcf(c_38888,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK59,sK59))) = app(X0,app(X1,cons(sK57,app(sK59,sK59)))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_38541,c_228]) ).
tcf(c_38889,plain,
cons(sK57,app(cons(sK57,app(sK59,sK59)),sK59)) = app(cons(sK57,cons(sK57,app(sK59,sK59))),sK59),
inference(superposition,[status(thm)],[c_38541,c_37363]) ).
tcf(c_38890,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK59,sK59)))) = app(cons(sK57,X0),cons(sK57,app(sK59,sK59))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_38541,c_22147]) ).
tcf(c_38891,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK59,sK59))) = tl(app(sK56,cons(sK57,app(sK59,sK59)))) ) ),
inference(superposition,[status(thm)],[c_38541,c_21660]) ).
tcf(c_38892,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK59,sK59))) = tl(app(sK58,cons(sK57,app(sK59,sK59)))) ) ),
inference(superposition,[status(thm)],[c_38541,c_21659]) ).
tcf(c_38893,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK59,sK59))) = tl(app(sK59,cons(sK57,app(sK59,sK59)))) ) ),
inference(superposition,[status(thm)],[c_38541,c_21658]) ).
tcf(c_38894,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK59)))
| ( app(app(sK42(cons(sK57,app(sK59,sK59))),cons(sK40(cons(sK57,app(sK59,sK59))),sK43(cons(sK57,app(sK59,sK59))))),cons(sK41(cons(sK57,app(sK59,sK59))),sK44(cons(sK57,app(sK59,sK59))))) = cons(sK57,app(sK59,sK59)) ) ),
inference(superposition,[status(thm)],[c_38541,c_124]) ).
tcf(c_38895,plain,
( strictorderedP(cons(sK57,app(sK59,sK59)))
| ( app(app(sK37(cons(sK57,app(sK59,sK59))),cons(sK35(cons(sK57,app(sK59,sK59))),sK38(cons(sK57,app(sK59,sK59))))),cons(sK36(cons(sK57,app(sK59,sK59))),sK39(cons(sK57,app(sK59,sK59))))) = cons(sK57,app(sK59,sK59)) ) ),
inference(superposition,[status(thm)],[c_38541,c_116]) ).
tcf(c_38896,plain,
( totalorderedP(cons(sK57,app(sK59,sK59)))
| ( app(app(sK32(cons(sK57,app(sK59,sK59))),cons(sK30(cons(sK57,app(sK59,sK59))),sK33(cons(sK57,app(sK59,sK59))))),cons(sK31(cons(sK57,app(sK59,sK59))),sK34(cons(sK57,app(sK59,sK59))))) = cons(sK57,app(sK59,sK59)) ) ),
inference(superposition,[status(thm)],[c_38541,c_108]) ).
tcf(c_38897,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK59,sK59)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_38541,c_19187]) ).
tcf(c_38898,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( app(tl(cons(sK57,app(sK59,sK59))),X0) = tl(app(cons(sK57,app(sK59,sK59)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_38541,c_234]) ).
tcf(c_38899,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK59,sK59)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_38541,c_19186]) ).
tcf(c_38900,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK59,sK59)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_38541,c_19185]) ).
tcf(c_38901,plain,
( equalelemsP(cons(sK57,app(sK59,sK59)))
| ( app(sK47(cons(sK57,app(sK59,sK59))),cons(sK45(cons(sK57,app(sK59,sK59))),cons(sK46(cons(sK57,app(sK59,sK59))),sK48(cons(sK57,app(sK59,sK59)))))) = cons(sK57,app(sK59,sK59)) ) ),
inference(superposition,[status(thm)],[c_38541,c_132]) ).
tcf(c_38902,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( hd(app(cons(sK57,app(sK59,sK59)),X0)) = hd(cons(sK57,app(sK59,sK59))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_38541,c_233]) ).
tcf(c_38903,plain,
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( cons(hd(cons(sK57,app(sK59,sK59))),tl(cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)) ) ),
inference(superposition,[status(thm)],[c_38541,c_224]) ).
tcf(c_38904,plain,
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( cons(sK50(cons(sK57,app(sK59,sK59))),sK49(cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)) ) ),
inference(superposition,[status(thm)],[c_38541,c_147]) ).
tcf(c_38905,plain,
tl(cons(sK57,cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_38541,c_13997]) ).
tcf(c_38906,plain,
hd(cons(sK57,cons(sK57,app(sK59,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_38541,c_13821]) ).
tcf(c_38907,plain,
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( tl(cons(sK57,app(sK59,sK59))) = sK52(cons(sK57,app(sK59,sK59))) ) ),
inference(superposition,[status(thm)],[c_38541,c_222]) ).
tcf(c_38908,plain,
( ( cons(sK57,app(sK59,sK59)) = nil )
| ( hd(cons(sK57,app(sK59,sK59))) = sK51(cons(sK57,app(sK59,sK59))) ) ),
inference(superposition,[status(thm)],[c_38541,c_220]) ).
tcf(c_38909,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK59)))
| ( sK40(cons(sK57,app(sK59,sK59))) = sK41(cons(sK57,app(sK59,sK59))) ) ),
inference(superposition,[status(thm)],[c_38541,c_123]) ).
tcf(c_38910,plain,
app(cons(sK57,app(sK59,sK59)),nil) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_38541,c_232]) ).
tcf(c_38911,plain,
app(nil,cons(sK57,app(sK59,sK59))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_38541,c_155]) ).
tcf(c_38979,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK58,sK59))) = app(X0,app(X1,cons(sK57,app(sK58,sK59)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_228]) ).
tcf(c_38980,plain,
( ( cons(sK57,app(cons(sK57,app(sK58,sK59)),sK59)) = app(cons(sK57,cons(sK57,app(sK58,sK59))),sK59) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_37363]) ).
tcf(c_38981,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK58,sK59)))) = app(cons(sK57,X0),cons(sK57,app(sK58,sK59))) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_22147]) ).
tcf(c_38982,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK58,sK59))) = tl(app(sK56,cons(sK57,app(sK58,sK59)))) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_21660]) ).
tcf(c_38983,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK58,sK59))) = tl(app(sK58,cons(sK57,app(sK58,sK59)))) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_21659]) ).
tcf(c_38984,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK58,sK59))) = tl(app(sK59,cons(sK57,app(sK58,sK59)))) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_21658]) ).
tcf(c_38985,plain,
( duplicatefreeP(cons(sK57,app(sK58,sK59)))
| ( app(app(sK42(cons(sK57,app(sK58,sK59))),cons(sK40(cons(sK57,app(sK58,sK59))),sK43(cons(sK57,app(sK58,sK59))))),cons(sK41(cons(sK57,app(sK58,sK59))),sK44(cons(sK57,app(sK58,sK59))))) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_124]) ).
tcf(c_38986,plain,
( strictorderedP(cons(sK57,app(sK58,sK59)))
| ( app(app(sK37(cons(sK57,app(sK58,sK59))),cons(sK35(cons(sK57,app(sK58,sK59))),sK38(cons(sK57,app(sK58,sK59))))),cons(sK36(cons(sK57,app(sK58,sK59))),sK39(cons(sK57,app(sK58,sK59))))) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_116]) ).
tcf(c_38987,plain,
( totalorderedP(cons(sK57,app(sK58,sK59)))
| ( app(app(sK32(cons(sK57,app(sK58,sK59))),cons(sK30(cons(sK57,app(sK58,sK59))),sK33(cons(sK57,app(sK58,sK59))))),cons(sK31(cons(sK57,app(sK58,sK59))),sK34(cons(sK57,app(sK58,sK59))))) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_108]) ).
tcf(c_38988,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK58,sK59)))) = hd(sK56) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_19187]) ).
tcf(c_38989,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK59)) = nil )
| ( app(tl(cons(sK57,app(sK58,sK59))),X0) = tl(app(cons(sK57,app(sK58,sK59)),X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_234]) ).
tcf(c_38990,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK58,sK59)))) = hd(sK58) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_19186]) ).
tcf(c_38991,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK58,sK59)))) = hd(sK59) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_19185]) ).
tcf(c_38992,plain,
( equalelemsP(cons(sK57,app(sK58,sK59)))
| ( app(sK47(cons(sK57,app(sK58,sK59))),cons(sK45(cons(sK57,app(sK58,sK59))),cons(sK46(cons(sK57,app(sK58,sK59))),sK48(cons(sK57,app(sK58,sK59)))))) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_132]) ).
tcf(c_38993,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK59)) = nil )
| ( hd(app(cons(sK57,app(sK58,sK59)),X0)) = hd(cons(sK57,app(sK58,sK59))) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_233]) ).
tcf(c_38994,plain,
( ( cons(sK57,app(sK58,sK59)) = nil )
| ( cons(hd(cons(sK57,app(sK58,sK59))),tl(cons(sK57,app(sK58,sK59)))) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_224]) ).
tcf(c_38995,plain,
( ( cons(sK57,app(sK58,sK59)) = nil )
| ( cons(sK50(cons(sK57,app(sK58,sK59))),sK49(cons(sK57,app(sK58,sK59)))) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_147]) ).
tcf(c_38996,plain,
( ( tl(cons(sK57,cons(sK57,app(sK58,sK59)))) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_13997]) ).
tcf(c_38997,plain,
( ( hd(cons(sK57,cons(sK57,app(sK58,sK59)))) = sK57 )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_13821]) ).
tcf(c_38998,plain,
( ( cons(sK57,app(sK58,sK59)) = nil )
| ( tl(cons(sK57,app(sK58,sK59))) = sK52(cons(sK57,app(sK58,sK59))) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_222]) ).
tcf(c_38999,plain,
( ( cons(sK57,app(sK58,sK59)) = nil )
| ( hd(cons(sK57,app(sK58,sK59))) = sK51(cons(sK57,app(sK58,sK59))) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_220]) ).
tcf(c_39000,plain,
( duplicatefreeP(cons(sK57,app(sK58,sK59)))
| ( sK40(cons(sK57,app(sK58,sK59))) = sK41(cons(sK57,app(sK58,sK59))) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_123]) ).
tcf(c_39001,plain,
( ( app(cons(sK57,app(sK58,sK59)),nil) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_232]) ).
tcf(c_39002,plain,
( ( app(nil,cons(sK57,app(sK58,sK59))) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_155]) ).
tcf(c_39091,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(app(cons(sK57,sK56),sK59),X0)) ),
inference(superposition,[status(thm)],[c_37873,c_67]) ).
tcf(c_39094,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(cons(sK57,sK56),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,app(sK56,sK59)),X0) ),
inference(superposition,[status(thm)],[c_37873,c_167]) ).
tcf(c_39095,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_37873,c_231]) ).
tcf(c_39096,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_37873,c_230]) ).
tcf(c_39097,plain,
( frontsegP(cons(sK57,app(sK56,sK59)),cons(sK57,sK56))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_37873,c_382]) ).
tcf(c_39098,plain,
( rearsegP(cons(sK57,app(sK56,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_37873,c_379]) ).
tcf(c_39099,plain,
( ssList(cons(sK57,app(sK56,sK59)))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_37873,c_153]) ).
tcf(c_39100,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != app(X0,sK59) ) ),
inference(superposition,[status(thm)],[c_37873,c_225]) ).
tcf(c_39101,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( app(cons(sK57,sK56),X0) != cons(sK57,app(sK56,sK59)) ) ),
inference(superposition,[status(thm)],[c_37873,c_226]) ).
tcf(c_39102,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(superposition,[status(thm)],[c_37873,c_176]) ).
tcf(c_39103,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,sK56),X0) ),
inference(superposition,[status(thm)],[c_37873,c_165]) ).
tcf(c_39104,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK59)),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_37873,c_193]) ).
tcf(c_39105,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_37873,c_186]) ).
tcf(c_39106,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_37873,c_166]) ).
tcf(c_39107,plain,
( ( cons(sK57,sK56) = iPr_def_12 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_37873,c_25223]) ).
tcf(c_39108,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_37873,c_25211]) ).
tcf(c_39109,plain,
( ssList(cons(sK57,app(sK56,sK59)))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39099,c_8916]) ).
tcf(c_39112,plain,
( rearsegP(cons(sK57,app(sK56,sK59)),sK59)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39098,c_8916]) ).
tcf(c_39115,plain,
( frontsegP(cons(sK57,app(sK56,sK59)),cons(sK57,sK56))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39097,c_8916]) ).
tcf(c_39124,plain,
( ( nil = sK59 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39096,c_8916]) ).
tcf(c_39128,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39106,c_8916]) ).
tcf(c_39133,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39105,c_8916]) ).
tcf(c_39138,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39095,c_8916]) ).
tcf(c_39142,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39103,c_8916]) ).
tcf(c_39147,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39102,c_8916]) ).
tcf(c_39152,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39104,c_8916]) ).
tcf(c_39158,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(cons(sK57,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,app(sK56,sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39094,c_8916]) ).
tcf(c_39164,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( app(cons(sK57,sK56),X0) != cons(sK57,app(sK56,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39101,c_8916]) ).
tcf(c_39169,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39100,c_8916]) ).
tcf(c_39174,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(cons(sK57,app(sK56,sK59)),X0)) ),
inference(light_normalisation,[status(thm)],[c_39091,c_37873]) ).
tcf(c_39175,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(cons(sK57,app(sK56,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39174,c_8916]) ).
tcf(c_39213,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK56,sK59))) = app(X0,app(X1,cons(sK57,app(sK56,sK59)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_228]) ).
tcf(c_39214,plain,
( ( cons(sK57,app(cons(sK57,app(sK56,sK59)),sK59)) = app(cons(sK57,cons(sK57,app(sK56,sK59))),sK59) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_37363]) ).
tcf(c_39215,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK56,sK59)))) = app(cons(sK57,X0),cons(sK57,app(sK56,sK59))) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_22147]) ).
tcf(c_39216,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK56,sK59))) = tl(app(sK56,cons(sK57,app(sK56,sK59)))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_21660]) ).
tcf(c_39217,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK56,sK59))) = tl(app(sK58,cons(sK57,app(sK56,sK59)))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_21659]) ).
tcf(c_39218,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK56,sK59))) = tl(app(sK59,cons(sK57,app(sK56,sK59)))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_21658]) ).
tcf(c_39219,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK59)))
| ( app(app(sK42(cons(sK57,app(sK56,sK59))),cons(sK40(cons(sK57,app(sK56,sK59))),sK43(cons(sK57,app(sK56,sK59))))),cons(sK41(cons(sK57,app(sK56,sK59))),sK44(cons(sK57,app(sK56,sK59))))) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_124]) ).
tcf(c_39220,plain,
( strictorderedP(cons(sK57,app(sK56,sK59)))
| ( app(app(sK37(cons(sK57,app(sK56,sK59))),cons(sK35(cons(sK57,app(sK56,sK59))),sK38(cons(sK57,app(sK56,sK59))))),cons(sK36(cons(sK57,app(sK56,sK59))),sK39(cons(sK57,app(sK56,sK59))))) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_116]) ).
tcf(c_39221,plain,
( totalorderedP(cons(sK57,app(sK56,sK59)))
| ( app(app(sK32(cons(sK57,app(sK56,sK59))),cons(sK30(cons(sK57,app(sK56,sK59))),sK33(cons(sK57,app(sK56,sK59))))),cons(sK31(cons(sK57,app(sK56,sK59))),sK34(cons(sK57,app(sK56,sK59))))) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_108]) ).
tcf(c_39222,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK56,sK59)))) = hd(sK56) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_19187]) ).
tcf(c_39223,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( app(tl(cons(sK57,app(sK56,sK59))),X0) = tl(app(cons(sK57,app(sK56,sK59)),X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_234]) ).
tcf(c_39224,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK56,sK59)))) = hd(sK58) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_19186]) ).
tcf(c_39225,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK56,sK59)))) = hd(sK59) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_19185]) ).
tcf(c_39226,plain,
( equalelemsP(cons(sK57,app(sK56,sK59)))
| ( app(sK47(cons(sK57,app(sK56,sK59))),cons(sK45(cons(sK57,app(sK56,sK59))),cons(sK46(cons(sK57,app(sK56,sK59))),sK48(cons(sK57,app(sK56,sK59)))))) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_132]) ).
tcf(c_39227,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( hd(app(cons(sK57,app(sK56,sK59)),X0)) = hd(cons(sK57,app(sK56,sK59))) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_233]) ).
tcf(c_39228,plain,
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( cons(hd(cons(sK57,app(sK56,sK59))),tl(cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_224]) ).
tcf(c_39229,plain,
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( cons(sK50(cons(sK57,app(sK56,sK59))),sK49(cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_147]) ).
tcf(c_39230,plain,
( ( tl(cons(sK57,cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_13997]) ).
tcf(c_39231,plain,
( ( hd(cons(sK57,cons(sK57,app(sK56,sK59)))) = sK57 )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_13821]) ).
tcf(c_39232,plain,
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( tl(cons(sK57,app(sK56,sK59))) = sK52(cons(sK57,app(sK56,sK59))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_222]) ).
tcf(c_39233,plain,
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( hd(cons(sK57,app(sK56,sK59))) = sK51(cons(sK57,app(sK56,sK59))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_220]) ).
tcf(c_39234,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK59)))
| ( sK40(cons(sK57,app(sK56,sK59))) = sK41(cons(sK57,app(sK56,sK59))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_123]) ).
tcf(c_39235,plain,
( ( app(cons(sK57,app(sK56,sK59)),nil) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_232]) ).
tcf(c_39236,plain,
( ( app(nil,cons(sK57,app(sK56,sK59))) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_155]) ).
tcf(c_39355,plain,
rearsegP(cons(sK57,app(sK59,sK59)),sK59),
inference(global_subsumption_just,[status(thm)],[c_38077,c_38077,c_38491]) ).
tcf(c_39357,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_39355,c_183]) ).
tcf(c_39358,plain,
( ( cons(sK57,app(sK59,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK59,sK59)))
| ~ rearsegP(sK59,cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_39355,c_184]) ).
tcf(c_39359,plain,
( ( app(sK12(cons(sK57,app(sK59,sK59)),sK59),sK59) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_39355,c_66]) ).
tcf(c_39360,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39357,c_8916,c_38541]) ).
tcf(c_39364,plain,
app(sK12(cons(sK57,app(sK59,sK59)),sK59),sK59) = cons(sK57,app(sK59,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_39359,c_8916,c_38541]) ).
tcf(c_39365,plain,
( ( cons(sK57,app(sK59,sK59)) = sK59 )
| ~ rearsegP(sK59,cons(sK57,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39358,c_8916,c_38541]) ).
tcf(c_39373,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(cons(sK57,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_38367,c_183]) ).
tcf(c_39374,plain,
( ( cons(sK57,app(sK58,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(cons(sK57,app(sK58,sK59)))
| ~ rearsegP(sK59,cons(sK57,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_38367,c_184]) ).
tcf(c_39375,plain,
( ( app(sK12(cons(sK57,app(sK58,sK59)),sK59),sK59) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(cons(sK57,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_38367,c_66]) ).
tcf(c_39377,plain,
( ( app(sK12(cons(sK57,app(sK58,sK59)),sK59),sK59) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(cons(sK57,sK58))
| ~ ssList(cons(sK57,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39375,c_8916]) ).
tcf(c_39381,plain,
( ( cons(sK57,app(sK58,sK59)) = sK59 )
| ~ ssList(cons(sK57,sK58))
| ~ ssList(cons(sK57,app(sK58,sK59)))
| ~ rearsegP(sK59,cons(sK57,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39374,c_8916]) ).
tcf(c_39392,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK59),X0),cons(X0,sK9(cons(sK57,sK59),X0))) = cons(sK57,sK59) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38502,c_57]) ).
tcf(c_39393,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,sK59),X0)) = sK8(cons(sK57,sK59),X0) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38502,c_12510]) ).
tcf(c_39395,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,sK59),X0)) = sK8(cons(sK57,sK59),X0) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39393,c_38491]) ).
tcf(c_39399,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK59),X0),cons(X0,sK9(cons(sK57,sK59),X0))) = cons(sK57,sK59) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39392,c_38491]) ).
tcf(c_39411,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,sK59),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38506,c_183]) ).
tcf(c_39412,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,sK59))
| ~ rearsegP(X0,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38506,c_184]) ).
tcf(c_39413,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,sK59),X0),X0) = cons(sK57,sK59) )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38506,c_66]) ).
tcf(c_39414,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,sK59),X0),X0) = cons(sK57,sK59) )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39413,c_38491]) ).
tcf(c_39418,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39412,c_38491]) ).
tcf(c_39423,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,sK59),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39411,c_38491]) ).
tcf(c_39478,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK59),X0),cons(X0,sK9(cons(sK57,sK59),X0))) = cons(sK57,sK59) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38510,c_57]) ).
tcf(c_39479,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,sK59),X0)) = sK8(cons(sK57,sK59),X0) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38510,c_12510]) ).
tcf(c_39480,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ( X0 = sK57 )
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_38510,c_170]) ).
tcf(c_39482,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,sK59),X0)) = sK8(cons(sK57,sK59),X0) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39479,c_38491]) ).
tcf(c_39486,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK59),X0),cons(X0,sK9(cons(sK57,sK59),X0))) = cons(sK57,sK59) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39478,c_38491]) ).
tcf(c_39500,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,cons(sK57,sK59)) = nil )
| ( cons(sK57,cons(sK57,sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,cons(sK57,sK59)))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,cons(sK57,sK59))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_38593,c_223]) ).
tcf(c_39501,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,cons(sK57,sK59))))
| ( cons(sK57,cons(sK57,sK59)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,cons(sK57,sK59)))
| ~ ssList(cons(sK57,cons(sK57,sK59))) ),
inference(superposition,[status(thm)],[c_38593,c_212]) ).
tcf(c_39502,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,cons(sK57,sK59))))
| ( cons(sK57,cons(sK57,sK59)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,cons(sK57,sK59)))
| ~ ssList(cons(sK57,cons(sK57,sK59))) ),
inference(superposition,[status(thm)],[c_38593,c_206]) ).
tcf(c_39515,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,cons(sK57,sK59)) = nil )
| ( cons(sK57,cons(sK57,sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,cons(sK57,sK59)))
| ( hd(X0) != sK57 )
| ( cons(sK57,sK59) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_39500,c_38592]) ).
tcf(c_39553,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK6,sK8(X0,X1))) = sK6 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_13801]) ).
tcf(c_39554,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK6,sK9(X0,X1))) = sK6 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_13801]) ).
tcf(c_39555,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK6,app(X0,X1))) = sK6 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_13801]) ).
tcf(c_39556,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK6,sK11(X0,X1))) = sK6 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_13801]) ).
tcf(c_39557,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK6,sK12(X0,X1))) = sK6 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_13801]) ).
tcf(c_39558,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK6,sK13(X0,X1))) = sK6 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_13801]) ).
tcf(c_39559,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK6,sK14(X0,X1))) = sK6 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_13801]) ).
tcf(c_39569,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK6,sK34(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_13801]) ).
tcf(c_39570,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK6,sK33(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_13801]) ).
tcf(c_39571,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK6,sK32(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_13801]) ).
tcf(c_39572,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK6,sK39(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_13801]) ).
tcf(c_39573,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK6,sK38(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_13801]) ).
tcf(c_39574,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK6,sK37(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_13801]) ).
tcf(c_39575,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK6,sK44(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_13801]) ).
tcf(c_39576,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK6,sK43(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_13801]) ).
tcf(c_39577,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK6,sK42(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_13801]) ).
tcf(c_39578,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK6,sK48(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_13801]) ).
tcf(c_39579,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK6,sK47(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_13801]) ).
tcf(c_39580,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK6,cons(X0,X1))) = sK6 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_13801]) ).
tcf(c_39581,plain,
hd(cons(sK6,nil)) = sK6,
inference(superposition,[status(thm)],[c_141,c_13801]) ).
tcf(c_39582,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK6,sK49(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_13801]) ).
tcf(c_39583,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK6,tl(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_13801]) ).
tcf(c_39584,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK6,sK52(X0))) = sK6 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_13801]) ).
tcf(c_39585,plain,
hd(cons(sK6,sK59)) = sK6,
inference(superposition,[status(thm)],[c_8916,c_13801]) ).
tcf(c_39586,plain,
hd(cons(sK6,sK58)) = sK6,
inference(superposition,[status(thm)],[c_8915,c_13801]) ).
tcf(c_39587,plain,
hd(cons(sK6,sK56)) = sK6,
inference(superposition,[status(thm)],[c_8907,c_13801]) ).
tcf(c_39588,plain,
hd(cons(sK6,iPr_def_12)) = sK6,
inference(superposition,[status(thm)],[c_12842,c_13801]) ).
tcf(c_39589,plain,
hd(cons(sK6,iPr_def_11)) = sK6,
inference(superposition,[status(thm)],[c_12706,c_13801]) ).
tcf(c_39590,plain,
hd(cons(sK6,iPr_def_10)) = sK6,
inference(superposition,[status(thm)],[c_18245,c_13801]) ).
tcf(c_39591,plain,
hd(cons(sK6,cons(sK57,sK59))) = sK6,
inference(superposition,[status(thm)],[c_38491,c_13801]) ).
tcf(c_39592,plain,
( ( nil = sK59 )
| ( hd(cons(sK6,tl(sK59))) = sK6 ) ),
inference(superposition,[status(thm)],[c_15329,c_13801]) ).
tcf(c_39593,plain,
( ( nil = sK58 )
| ( hd(cons(sK6,tl(sK58))) = sK6 ) ),
inference(superposition,[status(thm)],[c_15365,c_13801]) ).
tcf(c_39594,plain,
( ( nil = sK56 )
| ( hd(cons(sK6,tl(sK56))) = sK6 ) ),
inference(superposition,[status(thm)],[c_15756,c_13801]) ).
tcf(c_39595,plain,
hd(cons(sK6,tl(iPr_def_10))) = sK6,
inference(superposition,[status(thm)],[c_27219,c_13801]) ).
tcf(c_39596,plain,
hd(cons(sK6,tl(iPr_def_12))) = sK6,
inference(superposition,[status(thm)],[c_19014,c_13801]) ).
tcf(c_39597,plain,
hd(cons(sK6,cons(sK57,app(sK59,sK59)))) = sK6,
inference(superposition,[status(thm)],[c_38541,c_13801]) ).
tcf(c_39598,plain,
( ( hd(cons(sK6,cons(sK57,app(sK58,sK59)))) = sK6 )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_13801]) ).
tcf(c_39599,plain,
( ( hd(cons(sK6,cons(sK57,app(sK56,sK59)))) = sK6 )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_13801]) ).
tcf(c_39912,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,nil) = nil )
| ( cons(sK6,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,nil))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,nil)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_39581,c_223]) ).
tcf(c_39913,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,nil)))
| ( cons(sK6,nil) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,nil))
| ~ ssList(cons(sK6,nil)) ),
inference(superposition,[status(thm)],[c_39581,c_212]) ).
tcf(c_39914,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,nil)))
| ( cons(sK6,nil) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,nil))
| ~ ssList(cons(sK6,nil)) ),
inference(superposition,[status(thm)],[c_39581,c_206]) ).
tcf(c_39976,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,sK59) = nil )
| ( cons(sK6,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,sK59))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,sK59)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_39585,c_223]) ).
tcf(c_39977,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,sK59)))
| ( cons(sK6,sK59) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,sK59))
| ~ ssList(cons(sK6,sK59)) ),
inference(superposition,[status(thm)],[c_39585,c_212]) ).
tcf(c_39978,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,sK59)))
| ( cons(sK6,sK59) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,sK59))
| ~ ssList(cons(sK6,sK59)) ),
inference(superposition,[status(thm)],[c_39585,c_206]) ).
tcf(c_40002,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,sK58) = nil )
| ( cons(sK6,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,sK58))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,sK58)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_39586,c_223]) ).
tcf(c_40003,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,sK58)))
| ( cons(sK6,sK58) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,sK58))
| ~ ssList(cons(sK6,sK58)) ),
inference(superposition,[status(thm)],[c_39586,c_212]) ).
tcf(c_40004,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,sK58)))
| ( cons(sK6,sK58) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,sK58))
| ~ ssList(cons(sK6,sK58)) ),
inference(superposition,[status(thm)],[c_39586,c_206]) ).
tcf(c_40028,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,sK56) = nil )
| ( cons(sK6,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,sK56))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,sK56)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_39587,c_223]) ).
tcf(c_40029,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,sK56)))
| ( cons(sK6,sK56) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,sK56))
| ~ ssList(cons(sK6,sK56)) ),
inference(superposition,[status(thm)],[c_39587,c_212]) ).
tcf(c_40030,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,sK56)))
| ( cons(sK6,sK56) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,sK56))
| ~ ssList(cons(sK6,sK56)) ),
inference(superposition,[status(thm)],[c_39587,c_206]) ).
tcf(c_40058,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,sK59),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38514,c_173]) ).
tcf(c_40059,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(X0,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38514,c_174]) ).
tcf(c_40060,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,sK59),X0)) = cons(sK57,sK59) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38514,c_63]) ).
tcf(c_40061,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_38514,c_178]) ).
tcf(c_40062,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK59,X1)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_38514,c_179]) ).
tcf(c_40064,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,sK59),X0)) = cons(sK57,sK59) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40060,c_38491]) ).
tcf(c_40068,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ frontsegP(X0,cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40059,c_38491]) ).
tcf(c_40073,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,sK59),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40058,c_38491]) ).
tcf(c_40079,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK59,X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40062,c_8916,c_8914]) ).
tcf(c_40085,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40061,c_8916,c_8914]) ).
tcf(c_40111,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK59),sK59))
| ~ ssList(app(app(sK12(cons(sK57,sK59),sK59),sK59),X0)) ),
inference(superposition,[status(thm)],[c_38684,c_67]) ).
tcf(c_40114,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK12(cons(sK57,sK59),sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0)
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_38684,c_167]) ).
tcf(c_40117,plain,
( frontsegP(cons(sK57,sK59),sK12(cons(sK57,sK59),sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_38684,c_382]) ).
tcf(c_40120,plain,
! [X0: $i] :
( ( sK12(cons(sK57,sK59),sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK59),sK59))
| ( app(X0,sK59) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_38684,c_225]) ).
tcf(c_40121,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK59),sK59))
| ( app(sK12(cons(sK57,sK59),sK59),X0) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_38684,c_226]) ).
tcf(c_40122,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK59),sK59))
| ~ frontsegP(sK12(cons(sK57,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_38684,c_176]) ).
tcf(c_40123,plain,
! [X0: $i] :
( memberP(cons(sK57,sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,sK59),sK59))
| ~ memberP(sK12(cons(sK57,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_38684,c_165]) ).
tcf(c_40124,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK59),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_38684,c_193]) ).
tcf(c_40125,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_38684,c_186]) ).
tcf(c_40126,plain,
! [X0: $i] :
( memberP(cons(sK57,sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_38684,c_166]) ).
tcf(c_40127,plain,
( ( sK12(cons(sK57,sK59),sK59) = iPr_def_12 )
| ~ ssList(sK12(cons(sK57,sK59),sK59))
| ( cons(sK57,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_38684,c_25223]) ).
tcf(c_40129,plain,
( frontsegP(cons(sK57,sK59),sK12(cons(sK57,sK59),sK59))
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40117,c_8916]) ).
tcf(c_40137,plain,
! [X0: $i] :
( memberP(cons(sK57,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,sK59),sK59))
| ~ memberP(sK12(cons(sK57,sK59),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40123,c_8916]) ).
tcf(c_40142,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK59),sK59))
| ~ frontsegP(sK12(cons(sK57,sK59),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40122,c_8916]) ).
tcf(c_40148,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK12(cons(sK57,sK59),sK59),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0)
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40114,c_8916]) ).
tcf(c_40154,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK59),sK59))
| ( app(sK12(cons(sK57,sK59),sK59),X0) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40121,c_8916]) ).
tcf(c_40159,plain,
! [X0: $i] :
( ( sK12(cons(sK57,sK59),sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK59),sK59))
| ( app(X0,sK59) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40120,c_8916]) ).
tcf(c_40164,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK59),sK59))
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(light_normalisation,[status(thm)],[c_40111,c_38684]) ).
tcf(c_40165,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK59),sK59))
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40164,c_8916]) ).
tcf(c_40175,plain,
~ rearsegP(sK59,cons(sK57,sK59)),
inference(global_subsumption_just,[status(thm)],[c_38685,c_38494,c_38685]) ).
tcf(c_40181,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_39112,c_183]) ).
tcf(c_40182,plain,
( ( cons(sK57,app(sK56,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK59)))
| ~ rearsegP(sK59,cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_39112,c_184]) ).
tcf(c_40183,plain,
( ( app(sK12(cons(sK57,app(sK56,sK59)),sK59),sK59) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_39112,c_66]) ).
tcf(c_40185,plain,
( ( app(sK12(cons(sK57,app(sK56,sK59)),sK59),sK59) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40183,c_8916]) ).
tcf(c_40189,plain,
( ( cons(sK57,app(sK56,sK59)) = sK59 )
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK59)))
| ~ rearsegP(sK59,cons(sK57,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40182,c_8916]) ).
tcf(c_40229,plain,
frontsegP(cons(sK57,app(sK59,sK59)),cons(sK57,sK59)),
inference(global_subsumption_just,[status(thm)],[c_38080,c_38080,c_38491]) ).
tcf(c_40232,plain,
( ( cons(sK57,app(sK59,sK59)) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59))
| ~ ssList(cons(sK57,app(sK59,sK59)))
| ~ frontsegP(cons(sK57,sK59),cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_40229,c_174]) ).
tcf(c_40233,plain,
( ( app(cons(sK57,sK59),sK11(cons(sK57,app(sK59,sK59)),cons(sK57,sK59))) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(cons(sK57,sK59))
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_40229,c_63]) ).
tcf(c_40235,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_40229,c_179]) ).
tcf(c_40236,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40235,c_8916,c_8914]) ).
tcf(c_40239,plain,
app(cons(sK57,sK59),sK11(cons(sK57,app(sK59,sK59)),cons(sK57,sK59))) = cons(sK57,app(sK59,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_40233,c_38491,c_38541]) ).
tcf(c_40240,plain,
( ( cons(sK57,app(sK59,sK59)) = cons(sK57,sK59) )
| ~ frontsegP(cons(sK57,sK59),cons(sK57,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40232,c_38491,c_38541]) ).
tcf(c_40249,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ ssList(app(app(X0,cons(sK50(tl(sK59)),X1)),tl(sK59)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(tl(sK59)),X1)),cons(sK50(tl(sK59)),sK49(tl(sK59))))) ),
inference(superposition,[status(thm)],[c_15491,c_130]) ).
tcf(c_40250,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK50(tl(sK59)),X1)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ ssList(app(app(X0,tl(sK59)),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK50(tl(sK59)),sK49(tl(sK59)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15491,c_122]) ).
tcf(c_40251,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK50(tl(sK59)),X1)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ ssList(app(app(X0,tl(sK59)),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK50(tl(sK59)),sK49(tl(sK59)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15491,c_114]) ).
tcf(c_40252,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ ssList(app(app(X0,tl(sK59)),cons(sK50(tl(sK59)),X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(tl(sK59)),sK49(tl(sK59)))),cons(sK50(tl(sK59)),X1))) ),
inference(superposition,[status(thm)],[c_15491,c_130]) ).
tcf(c_40256,plain,
! [X0: $i] :
( memberP(app(X0,tl(sK59)),sK50(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ ssList(app(X0,cons(sK50(tl(sK59)),sK49(tl(sK59))))) ),
inference(superposition,[status(thm)],[c_15491,c_54]) ).
tcf(c_40257,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(sK59)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK50(tl(sK59)),sK49(tl(sK59))))) ),
inference(superposition,[status(thm)],[c_15491,c_122]) ).
tcf(c_40258,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(sK59)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK50(tl(sK59)),sK49(tl(sK59))))) ),
inference(superposition,[status(thm)],[c_15491,c_114]) ).
tcf(c_40262,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK50(tl(sK59)) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ ssList(app(X0,cons(X1,tl(sK59))))
| ~ equalelemsP(app(X0,cons(X1,cons(sK50(tl(sK59)),sK49(tl(sK59)))))) ),
inference(superposition,[status(thm)],[c_15491,c_137]) ).
tcf(c_40265,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK50(tl(sK59)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ frontsegP(cons(X0,X1),tl(sK59)) ),
inference(superposition,[status(thm)],[c_15491,c_178]) ).
tcf(c_40266,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,sK49(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ frontsegP(cons(X0,X1),tl(sK59)) ),
inference(superposition,[status(thm)],[c_15491,c_179]) ).
tcf(c_40267,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK49(tl(sK59)) = nil )
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ( tl(sK59) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15491,c_27842]) ).
tcf(c_40268,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK50(tl(sK59)) = sK57 )
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ( tl(sK59) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15491,c_27744]) ).
tcf(c_40269,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK50(tl(sK59)) = sK57 )
| ~ frontsegP(iPr_def_11,tl(sK59))
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59))) ),
inference(superposition,[status(thm)],[c_15491,c_27481]) ).
tcf(c_40270,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK50(tl(sK59)) = sK57 )
| ~ frontsegP(tl(sK59),iPr_def_11)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59))) ),
inference(superposition,[status(thm)],[c_15491,c_27471]) ).
tcf(c_40271,plain,
( frontsegP(nil,sK49(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ frontsegP(iPr_def_11,tl(sK59))
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59))) ),
inference(superposition,[status(thm)],[c_15491,c_26657]) ).
tcf(c_40272,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK49(tl(sK59)) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ( cons(X0,X1) != tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15491,c_144]) ).
tcf(c_40273,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK50(tl(sK59)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ( cons(X0,X1) != tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15491,c_143]) ).
tcf(c_40274,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK50(tl(sK59)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ frontsegP(tl(sK59),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_15491,c_178]) ).
tcf(c_40275,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK49(tl(sK59)),X1)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ frontsegP(tl(sK59),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_15491,c_179]) ).
tcf(c_40276,plain,
! [X0: $i] :
( memberP(sK49(tl(sK59)),X0)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK50(tl(sK59)) = X0 )
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ memberP(tl(sK59),X0) ),
inference(superposition,[status(thm)],[c_15491,c_170]) ).
tcf(c_40277,plain,
( lt(sK50(tl(sK59)),hd(sK49(tl(sK59))))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK49(tl(sK59)) = nil )
| ~ strictorderedP(tl(sK59))
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59))) ),
inference(superposition,[status(thm)],[c_15491,c_214]) ).
tcf(c_40278,plain,
( leq(sK50(tl(sK59)),hd(sK49(tl(sK59))))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK49(tl(sK59)) = nil )
| ~ totalorderedP(tl(sK59))
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59))) ),
inference(superposition,[status(thm)],[c_15491,c_208]) ).
tcf(c_40279,plain,
( strictorderedP(sK49(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK49(tl(sK59)) = nil )
| ~ strictorderedP(tl(sK59))
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59))) ),
inference(superposition,[status(thm)],[c_15491,c_213]) ).
tcf(c_40280,plain,
( totalorderedP(sK49(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ( sK49(tl(sK59)) = nil )
| ~ totalorderedP(tl(sK59))
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59))) ),
inference(superposition,[status(thm)],[c_15491,c_207]) ).
tcf(c_40282,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ( sK49(tl(sK59)) != tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15491,c_142]) ).
tcf(c_40283,plain,
( memberP(tl(sK59),sK50(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59))) ),
inference(superposition,[status(thm)],[c_15491,c_168]) ).
tcf(c_40285,plain,
! [X0: $i] :
( frontsegP(tl(sK59),cons(sK50(tl(sK59)),X0))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ frontsegP(sK49(tl(sK59)),X0) ),
inference(superposition,[status(thm)],[c_15491,c_177]) ).
tcf(c_40286,plain,
! [X0: $i] :
( memberP(tl(sK59),X0)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ memberP(sK49(tl(sK59)),X0) ),
inference(superposition,[status(thm)],[c_15491,c_169]) ).
tcf(c_40287,plain,
! [X0: $i] :
( frontsegP(cons(sK50(tl(sK59)),X0),tl(sK59))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ frontsegP(X0,sK49(tl(sK59))) ),
inference(superposition,[status(thm)],[c_15491,c_177]) ).
tcf(c_40683,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK7,sK8(X0,X1))) = sK7 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_13802]) ).
tcf(c_40684,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK7,sK9(X0,X1))) = sK7 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_13802]) ).
tcf(c_40685,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK7,app(X0,X1))) = sK7 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_13802]) ).
tcf(c_40686,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK7,sK11(X0,X1))) = sK7 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_13802]) ).
tcf(c_40687,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK7,sK12(X0,X1))) = sK7 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_13802]) ).
tcf(c_40688,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK7,sK13(X0,X1))) = sK7 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_13802]) ).
tcf(c_40689,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK7,sK14(X0,X1))) = sK7 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_13802]) ).
tcf(c_40699,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK7,sK34(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_13802]) ).
tcf(c_40700,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK7,sK33(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_13802]) ).
tcf(c_40701,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK7,sK32(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_13802]) ).
tcf(c_40702,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK7,sK39(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_13802]) ).
tcf(c_40703,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK7,sK38(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_13802]) ).
tcf(c_40704,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK7,sK37(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_13802]) ).
tcf(c_40705,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK7,sK44(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_13802]) ).
tcf(c_40706,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK7,sK43(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_13802]) ).
tcf(c_40707,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK7,sK42(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_13802]) ).
tcf(c_40708,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK7,sK48(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_13802]) ).
tcf(c_40709,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK7,sK47(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_13802]) ).
tcf(c_40710,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK7,cons(X0,X1))) = sK7 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_13802]) ).
tcf(c_40711,plain,
hd(cons(sK7,nil)) = sK7,
inference(superposition,[status(thm)],[c_141,c_13802]) ).
tcf(c_40712,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK7,sK49(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_13802]) ).
tcf(c_40713,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK7,tl(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_13802]) ).
tcf(c_40714,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK7,sK52(X0))) = sK7 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_13802]) ).
tcf(c_40715,plain,
hd(cons(sK7,sK59)) = sK7,
inference(superposition,[status(thm)],[c_8916,c_13802]) ).
tcf(c_40716,plain,
hd(cons(sK7,sK58)) = sK7,
inference(superposition,[status(thm)],[c_8915,c_13802]) ).
tcf(c_40717,plain,
hd(cons(sK7,sK56)) = sK7,
inference(superposition,[status(thm)],[c_8907,c_13802]) ).
tcf(c_40718,plain,
hd(cons(sK7,iPr_def_12)) = sK7,
inference(superposition,[status(thm)],[c_12842,c_13802]) ).
tcf(c_40719,plain,
hd(cons(sK7,iPr_def_11)) = sK7,
inference(superposition,[status(thm)],[c_12706,c_13802]) ).
tcf(c_40720,plain,
hd(cons(sK7,iPr_def_10)) = sK7,
inference(superposition,[status(thm)],[c_18245,c_13802]) ).
tcf(c_40721,plain,
hd(cons(sK7,cons(sK57,sK59))) = sK7,
inference(superposition,[status(thm)],[c_38491,c_13802]) ).
tcf(c_40722,plain,
( ( nil = sK59 )
| ( hd(cons(sK7,tl(sK59))) = sK7 ) ),
inference(superposition,[status(thm)],[c_15329,c_13802]) ).
tcf(c_40723,plain,
( ( nil = sK58 )
| ( hd(cons(sK7,tl(sK58))) = sK7 ) ),
inference(superposition,[status(thm)],[c_15365,c_13802]) ).
tcf(c_40724,plain,
( ( nil = sK56 )
| ( hd(cons(sK7,tl(sK56))) = sK7 ) ),
inference(superposition,[status(thm)],[c_15756,c_13802]) ).
tcf(c_40725,plain,
hd(cons(sK7,tl(iPr_def_10))) = sK7,
inference(superposition,[status(thm)],[c_27219,c_13802]) ).
tcf(c_40726,plain,
hd(cons(sK7,tl(iPr_def_12))) = sK7,
inference(superposition,[status(thm)],[c_19014,c_13802]) ).
tcf(c_40727,plain,
hd(cons(sK7,cons(sK57,app(sK59,sK59)))) = sK7,
inference(superposition,[status(thm)],[c_38541,c_13802]) ).
tcf(c_40728,plain,
( ( hd(cons(sK7,cons(sK57,app(sK58,sK59)))) = sK7 )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_13802]) ).
tcf(c_40729,plain,
( ( hd(cons(sK7,cons(sK57,app(sK56,sK59)))) = sK7 )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_13802]) ).
tcf(c_41000,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,nil) = nil )
| ( cons(sK7,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,nil))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,nil)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_40711,c_223]) ).
tcf(c_41001,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,nil)))
| ( cons(sK7,nil) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,nil))
| ~ ssList(cons(sK7,nil)) ),
inference(superposition,[status(thm)],[c_40711,c_212]) ).
tcf(c_41002,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,nil)))
| ( cons(sK7,nil) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,nil))
| ~ ssList(cons(sK7,nil)) ),
inference(superposition,[status(thm)],[c_40711,c_206]) ).
tcf(c_41026,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,sK59) = nil )
| ( cons(sK7,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,sK59))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,sK59)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_40715,c_223]) ).
tcf(c_41027,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,sK59)))
| ( cons(sK7,sK59) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,sK59))
| ~ ssList(cons(sK7,sK59)) ),
inference(superposition,[status(thm)],[c_40715,c_212]) ).
tcf(c_41028,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,sK59)))
| ( cons(sK7,sK59) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,sK59))
| ~ ssList(cons(sK7,sK59)) ),
inference(superposition,[status(thm)],[c_40715,c_206]) ).
tcf(c_41052,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,sK58) = nil )
| ( cons(sK7,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,sK58))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,sK58)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_40716,c_223]) ).
tcf(c_41053,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,sK58)))
| ( cons(sK7,sK58) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,sK58))
| ~ ssList(cons(sK7,sK58)) ),
inference(superposition,[status(thm)],[c_40716,c_212]) ).
tcf(c_41054,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,sK58)))
| ( cons(sK7,sK58) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,sK58))
| ~ ssList(cons(sK7,sK58)) ),
inference(superposition,[status(thm)],[c_40716,c_206]) ).
tcf(c_41101,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(cons(sK6,iPr_def_12)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_39588,c_223]) ).
tcf(c_41102,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_39588,c_212]) ).
tcf(c_41103,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_39588,c_206]) ).
tcf(c_41127,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,iPr_def_11) = nil )
| ( cons(sK6,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,iPr_def_11))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,iPr_def_11)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_39589,c_223]) ).
tcf(c_41128,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,iPr_def_11)))
| ( cons(sK6,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,iPr_def_11))
| ~ ssList(cons(sK6,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_39589,c_212]) ).
tcf(c_41129,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,iPr_def_11)))
| ( cons(sK6,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,iPr_def_11))
| ~ ssList(cons(sK6,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_39589,c_206]) ).
tcf(c_41188,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,iPr_def_10) = nil )
| ( cons(sK6,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,iPr_def_10))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,iPr_def_10)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_39590,c_223]) ).
tcf(c_41189,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,iPr_def_10)))
| ( cons(sK6,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,iPr_def_10))
| ~ ssList(cons(sK6,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_39590,c_212]) ).
tcf(c_41190,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,iPr_def_10)))
| ( cons(sK6,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,iPr_def_10))
| ~ ssList(cons(sK6,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_39590,c_206]) ).
tcf(c_41214,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,sK56) = nil )
| ( cons(sK7,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,sK56))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,sK56)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_40717,c_223]) ).
tcf(c_41215,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,sK56)))
| ( cons(sK7,sK56) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,sK56))
| ~ ssList(cons(sK7,sK56)) ),
inference(superposition,[status(thm)],[c_40717,c_212]) ).
tcf(c_41216,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,sK56)))
| ( cons(sK7,sK56) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,sK56))
| ~ ssList(cons(sK7,sK56)) ),
inference(superposition,[status(thm)],[c_40717,c_206]) ).
tcf(c_41242,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_40236,c_173]) ).
tcf(c_41243,plain,
( ( app(sK59,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59))
| ~ frontsegP(sK59,app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_40236,c_174]) ).
tcf(c_41244,plain,
( ( app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_40236,c_63]) ).
tcf(c_41245,plain,
( ( app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59) )
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41244,c_8916]) ).
tcf(c_41248,plain,
( ( app(sK59,sK59) = sK59 )
| ~ ssList(app(sK59,sK59))
| ~ frontsegP(sK59,app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41243,c_8916]) ).
tcf(c_41252,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41242,c_8916]) ).
tcf(c_41281,plain,
( ( cons(sK57,app(sK58,sK59)) = cons(sK57,sK58) )
| ~ ssList(cons(sK57,sK58))
| ~ ssList(cons(sK57,app(sK58,sK59)))
| ~ frontsegP(cons(sK57,sK58),cons(sK57,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_38370,c_174]) ).
tcf(c_41282,plain,
( ( app(cons(sK57,sK58),sK11(cons(sK57,app(sK58,sK59)),cons(sK57,sK58))) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(cons(sK57,sK58))
| ~ ssList(cons(sK57,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_38370,c_63]) ).
tcf(c_41284,plain,
( frontsegP(app(sK58,sK59),sK58)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(app(sK58,sK59))
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38370,c_179]) ).
tcf(c_41285,plain,
( frontsegP(app(sK58,sK59),sK58)
| ~ ssList(app(sK58,sK59))
| ~ ssList(cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41284,c_8915,c_8914]) ).
tcf(c_41302,plain,
( ( cons(sK57,app(sK56,sK59)) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK59)))
| ~ frontsegP(cons(sK57,sK56),cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_39115,c_174]) ).
tcf(c_41303,plain,
( ( app(cons(sK57,sK56),sK11(cons(sK57,app(sK56,sK59)),cons(sK57,sK56))) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_39115,c_63]) ).
tcf(c_41305,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(app(sK56,sK59))
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39115,c_179]) ).
tcf(c_41306,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(app(sK56,sK59))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41305,c_8907,c_8914]) ).
tcf(c_41456,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK59,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_39360,c_183]) ).
tcf(c_41457,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK59)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,app(sK59,sK59)))
| ~ rearsegP(X0,cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_39360,c_184]) ).
tcf(c_41458,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK59,sK59)),X0),X0) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_39360,c_66]) ).
tcf(c_41459,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK59,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41456,c_38541]) ).
tcf(c_41465,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK59,sK59)),X0),X0) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41458,c_38541]) ).
tcf(c_41469,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK59)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,cons(sK57,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41457,c_38541]) ).
tcf(c_41481,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK8(X0,X1),sK58)) = app(cons(sK57,sK8(X0,X1)),sK58) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_37364]) ).
tcf(c_41482,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK9(X0,X1),sK58)) = app(cons(sK57,sK9(X0,X1)),sK58) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_37364]) ).
tcf(c_41483,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(app(X0,X1),sK58)) = app(cons(sK57,app(X0,X1)),sK58) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_37364]) ).
tcf(c_41484,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK11(X0,X1),sK58)) = app(cons(sK57,sK11(X0,X1)),sK58) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_37364]) ).
tcf(c_41485,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK12(X0,X1),sK58)) = app(cons(sK57,sK12(X0,X1)),sK58) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_37364]) ).
tcf(c_41486,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK13(X0,X1),sK58)) = app(cons(sK57,sK13(X0,X1)),sK58) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_37364]) ).
tcf(c_41487,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK14(X0,X1),sK58)) = app(cons(sK57,sK14(X0,X1)),sK58) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_37364]) ).
tcf(c_41497,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,app(sK34(X0),sK58)) = app(cons(sK57,sK34(X0)),sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_37364]) ).
tcf(c_41498,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,app(sK33(X0),sK58)) = app(cons(sK57,sK33(X0)),sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_37364]) ).
tcf(c_41499,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,app(sK32(X0),sK58)) = app(cons(sK57,sK32(X0)),sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_37364]) ).
tcf(c_41500,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,app(sK39(X0),sK58)) = app(cons(sK57,sK39(X0)),sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_37364]) ).
tcf(c_41501,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,app(sK38(X0),sK58)) = app(cons(sK57,sK38(X0)),sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_37364]) ).
tcf(c_41502,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,app(sK37(X0),sK58)) = app(cons(sK57,sK37(X0)),sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_37364]) ).
tcf(c_41503,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,app(sK44(X0),sK58)) = app(cons(sK57,sK44(X0)),sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_37364]) ).
tcf(c_41504,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,app(sK43(X0),sK58)) = app(cons(sK57,sK43(X0)),sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_37364]) ).
tcf(c_41505,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,app(sK42(X0),sK58)) = app(cons(sK57,sK42(X0)),sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_37364]) ).
tcf(c_41506,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( cons(sK57,app(sK48(X0),sK58)) = app(cons(sK57,sK48(X0)),sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_37364]) ).
tcf(c_41507,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( cons(sK57,app(sK47(X0),sK58)) = app(cons(sK57,sK47(X0)),sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_37364]) ).
tcf(c_41508,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(cons(X0,X1),sK58)) = app(cons(sK57,cons(X0,X1)),sK58) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_37364]) ).
tcf(c_41509,plain,
cons(sK57,app(nil,sK58)) = app(cons(sK57,nil),sK58),
inference(superposition,[status(thm)],[c_141,c_37364]) ).
tcf(c_41510,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,app(sK49(X0),sK58)) = app(cons(sK57,sK49(X0)),sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_37364]) ).
tcf(c_41511,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,app(tl(X0),sK58)) = app(cons(sK57,tl(X0)),sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_37364]) ).
tcf(c_41512,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,app(sK52(X0),sK58)) = app(cons(sK57,sK52(X0)),sK58) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_37364]) ).
tcf(c_41513,plain,
cons(sK57,app(sK59,sK58)) = app(cons(sK57,sK59),sK58),
inference(superposition,[status(thm)],[c_8916,c_37364]) ).
tcf(c_41514,plain,
cons(sK57,app(sK58,sK58)) = app(cons(sK57,sK58),sK58),
inference(superposition,[status(thm)],[c_8915,c_37364]) ).
tcf(c_41515,plain,
cons(sK57,app(sK56,sK58)) = app(cons(sK57,sK56),sK58),
inference(superposition,[status(thm)],[c_8907,c_37364]) ).
tcf(c_41516,plain,
cons(sK57,app(iPr_def_12,sK58)) = app(cons(sK57,iPr_def_12),sK58),
inference(superposition,[status(thm)],[c_12842,c_37364]) ).
tcf(c_41517,plain,
cons(sK57,app(iPr_def_11,sK58)) = app(cons(sK57,iPr_def_11),sK58),
inference(superposition,[status(thm)],[c_12706,c_37364]) ).
tcf(c_41518,plain,
cons(sK57,app(iPr_def_10,sK58)) = app(cons(sK57,iPr_def_10),sK58),
inference(superposition,[status(thm)],[c_18245,c_37364]) ).
tcf(c_41519,plain,
cons(sK57,app(cons(sK57,sK59),sK58)) = app(cons(sK57,cons(sK57,sK59)),sK58),
inference(superposition,[status(thm)],[c_38491,c_37364]) ).
tcf(c_41520,plain,
( ( nil = sK59 )
| ( cons(sK57,app(tl(sK59),sK58)) = app(cons(sK57,tl(sK59)),sK58) ) ),
inference(superposition,[status(thm)],[c_15329,c_37364]) ).
tcf(c_41521,plain,
( ( nil = sK58 )
| ( cons(sK57,app(tl(sK58),sK58)) = app(cons(sK57,tl(sK58)),sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_37364]) ).
tcf(c_41522,plain,
( ( nil = sK56 )
| ( cons(sK57,app(tl(sK56),sK58)) = app(cons(sK57,tl(sK56)),sK58) ) ),
inference(superposition,[status(thm)],[c_15756,c_37364]) ).
tcf(c_41523,plain,
cons(sK57,app(tl(iPr_def_10),sK58)) = app(cons(sK57,tl(iPr_def_10)),sK58),
inference(superposition,[status(thm)],[c_27219,c_37364]) ).
tcf(c_41524,plain,
cons(sK57,app(tl(iPr_def_12),sK58)) = app(cons(sK57,tl(iPr_def_12)),sK58),
inference(superposition,[status(thm)],[c_19014,c_37364]) ).
tcf(c_41525,plain,
cons(sK57,app(cons(sK57,app(sK59,sK59)),sK58)) = app(cons(sK57,cons(sK57,app(sK59,sK59))),sK58),
inference(superposition,[status(thm)],[c_38541,c_37364]) ).
tcf(c_41526,plain,
( ( cons(sK57,app(cons(sK57,app(sK58,sK59)),sK58)) = app(cons(sK57,cons(sK57,app(sK58,sK59))),sK58) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_38364,c_37364]) ).
tcf(c_41527,plain,
( ( cons(sK57,app(cons(sK57,app(sK56,sK59)),sK58)) = app(cons(sK57,cons(sK57,app(sK56,sK59))),sK58) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_37364]) ).
tcf(c_41528,plain,
cons(sK57,sK58) = app(iPr_def_11,sK58),
inference(light_normalisation,[status(thm)],[c_41509,c_12533,c_34910]) ).
tcf(c_41746,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(app(cons(sK57,sK59),sK58),X0)) ),
inference(superposition,[status(thm)],[c_41513,c_67]) ).
tcf(c_41749,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(cons(sK57,sK59),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK59))
| ~ memberP(cons(sK57,app(sK59,sK58)),X0) ),
inference(superposition,[status(thm)],[c_41513,c_167]) ).
tcf(c_41750,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_41513,c_231]) ).
tcf(c_41751,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_41513,c_230]) ).
tcf(c_41752,plain,
( frontsegP(cons(sK57,app(sK59,sK58)),cons(sK57,sK59))
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_41513,c_382]) ).
tcf(c_41753,plain,
( rearsegP(cons(sK57,app(sK59,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_41513,c_379]) ).
tcf(c_41754,plain,
( ssList(cons(sK57,app(sK59,sK58)))
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_41513,c_153]) ).
tcf(c_41755,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK58)) != app(X0,sK58) ) ),
inference(superposition,[status(thm)],[c_41513,c_225]) ).
tcf(c_41756,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(cons(sK57,sK59),X0) != cons(sK57,app(sK59,sK58)) ) ),
inference(superposition,[status(thm)],[c_41513,c_226]) ).
tcf(c_41757,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_41513,c_176]) ).
tcf(c_41758,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK59))
| ~ memberP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_41513,c_165]) ).
tcf(c_41759,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK58)),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_41513,c_193]) ).
tcf(c_41760,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_41513,c_186]) ).
tcf(c_41761,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_41513,c_166]) ).
tcf(c_41762,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_41513,c_25207]) ).
tcf(c_41763,plain,
ssList(cons(sK57,app(sK59,sK58))),
inference(forward_subsumption_resolution,[status(thm)],[c_41754,c_8915,c_38491]) ).
tcf(c_41764,plain,
rearsegP(cons(sK57,app(sK59,sK58)),sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_41753,c_8915,c_38491]) ).
tcf(c_41765,plain,
frontsegP(cons(sK57,app(sK59,sK58)),cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_41752,c_8915,c_38491]) ).
tcf(c_41766,plain,
cons(sK57,app(sK59,sK58)) != sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_41762,c_38501,c_38491]) ).
tcf(c_41770,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41761,c_8915,c_38491]) ).
tcf(c_41774,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41760,c_8915,c_38491]) ).
tcf(c_41778,plain,
cons(sK57,app(sK59,sK58)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_41750,c_38501,c_8915,c_38491]) ).
tcf(c_41779,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41758,c_8915,c_38491]) ).
tcf(c_41783,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41757,c_8915,c_38491]) ).
tcf(c_41787,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK58)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41759,c_8915,c_38491]) ).
tcf(c_41792,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(cons(sK57,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK59,sK58)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41749,c_8915,c_38491]) ).
tcf(c_41797,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(cons(sK57,sK59),X0) != cons(sK57,app(sK59,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41756,c_8915,c_38491]) ).
tcf(c_41801,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ( cons(sK57,app(sK59,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41755,c_8915,c_38491]) ).
tcf(c_41805,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(cons(sK57,app(sK59,sK58)),X0)) ),
inference(light_normalisation,[status(thm)],[c_41746,c_41513]) ).
tcf(c_41806,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK58)),X0),sK58)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,app(sK59,sK58)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41805,c_8915,c_38491]) ).
tcf(c_41844,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK59,sK58))) = app(X0,app(X1,cons(sK57,app(sK59,sK58)))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_41763,c_228]) ).
tcf(c_41845,plain,
cons(sK57,app(cons(sK57,app(sK59,sK58)),sK58)) = app(cons(sK57,cons(sK57,app(sK59,sK58))),sK58),
inference(superposition,[status(thm)],[c_41763,c_37364]) ).
tcf(c_41846,plain,
hd(cons(sK7,cons(sK57,app(sK59,sK58)))) = sK7,
inference(superposition,[status(thm)],[c_41763,c_13802]) ).
tcf(c_41847,plain,
hd(cons(sK6,cons(sK57,app(sK59,sK58)))) = sK6,
inference(superposition,[status(thm)],[c_41763,c_13801]) ).
tcf(c_41848,plain,
cons(sK57,app(cons(sK57,app(sK59,sK58)),sK59)) = app(cons(sK57,cons(sK57,app(sK59,sK58))),sK59),
inference(superposition,[status(thm)],[c_41763,c_37363]) ).
tcf(c_41849,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK59,sK58)))) = app(cons(sK57,X0),cons(sK57,app(sK59,sK58))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_41763,c_22147]) ).
tcf(c_41850,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK59,sK58))) = tl(app(sK56,cons(sK57,app(sK59,sK58)))) ) ),
inference(superposition,[status(thm)],[c_41763,c_21660]) ).
tcf(c_41851,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK59,sK58))) = tl(app(sK58,cons(sK57,app(sK59,sK58)))) ) ),
inference(superposition,[status(thm)],[c_41763,c_21659]) ).
tcf(c_41852,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK59,sK58))) = tl(app(sK59,cons(sK57,app(sK59,sK58)))) ) ),
inference(superposition,[status(thm)],[c_41763,c_21658]) ).
tcf(c_41853,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK58)))
| ( app(app(sK42(cons(sK57,app(sK59,sK58))),cons(sK40(cons(sK57,app(sK59,sK58))),sK43(cons(sK57,app(sK59,sK58))))),cons(sK41(cons(sK57,app(sK59,sK58))),sK44(cons(sK57,app(sK59,sK58))))) = cons(sK57,app(sK59,sK58)) ) ),
inference(superposition,[status(thm)],[c_41763,c_124]) ).
tcf(c_41854,plain,
( strictorderedP(cons(sK57,app(sK59,sK58)))
| ( app(app(sK37(cons(sK57,app(sK59,sK58))),cons(sK35(cons(sK57,app(sK59,sK58))),sK38(cons(sK57,app(sK59,sK58))))),cons(sK36(cons(sK57,app(sK59,sK58))),sK39(cons(sK57,app(sK59,sK58))))) = cons(sK57,app(sK59,sK58)) ) ),
inference(superposition,[status(thm)],[c_41763,c_116]) ).
tcf(c_41855,plain,
( totalorderedP(cons(sK57,app(sK59,sK58)))
| ( app(app(sK32(cons(sK57,app(sK59,sK58))),cons(sK30(cons(sK57,app(sK59,sK58))),sK33(cons(sK57,app(sK59,sK58))))),cons(sK31(cons(sK57,app(sK59,sK58))),sK34(cons(sK57,app(sK59,sK58))))) = cons(sK57,app(sK59,sK58)) ) ),
inference(superposition,[status(thm)],[c_41763,c_108]) ).
tcf(c_41856,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK59,sK58)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_41763,c_19187]) ).
tcf(c_41857,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK58)) = nil )
| ( app(tl(cons(sK57,app(sK59,sK58))),X0) = tl(app(cons(sK57,app(sK59,sK58)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_41763,c_234]) ).
tcf(c_41858,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK59,sK58)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_41763,c_19186]) ).
tcf(c_41859,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK59,sK58)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_41763,c_19185]) ).
tcf(c_41860,plain,
( equalelemsP(cons(sK57,app(sK59,sK58)))
| ( app(sK47(cons(sK57,app(sK59,sK58))),cons(sK45(cons(sK57,app(sK59,sK58))),cons(sK46(cons(sK57,app(sK59,sK58))),sK48(cons(sK57,app(sK59,sK58)))))) = cons(sK57,app(sK59,sK58)) ) ),
inference(superposition,[status(thm)],[c_41763,c_132]) ).
tcf(c_41861,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK58)) = nil )
| ( hd(app(cons(sK57,app(sK59,sK58)),X0)) = hd(cons(sK57,app(sK59,sK58))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_41763,c_233]) ).
tcf(c_41862,plain,
( ( cons(sK57,app(sK59,sK58)) = nil )
| ( cons(hd(cons(sK57,app(sK59,sK58))),tl(cons(sK57,app(sK59,sK58)))) = cons(sK57,app(sK59,sK58)) ) ),
inference(superposition,[status(thm)],[c_41763,c_224]) ).
tcf(c_41863,plain,
( ( cons(sK57,app(sK59,sK58)) = nil )
| ( cons(sK50(cons(sK57,app(sK59,sK58))),sK49(cons(sK57,app(sK59,sK58)))) = cons(sK57,app(sK59,sK58)) ) ),
inference(superposition,[status(thm)],[c_41763,c_147]) ).
tcf(c_41864,plain,
tl(cons(sK57,cons(sK57,app(sK59,sK58)))) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_41763,c_13997]) ).
tcf(c_41865,plain,
hd(cons(sK57,cons(sK57,app(sK59,sK58)))) = sK57,
inference(superposition,[status(thm)],[c_41763,c_13821]) ).
tcf(c_41866,plain,
( ( cons(sK57,app(sK59,sK58)) = nil )
| ( tl(cons(sK57,app(sK59,sK58))) = sK52(cons(sK57,app(sK59,sK58))) ) ),
inference(superposition,[status(thm)],[c_41763,c_222]) ).
tcf(c_41867,plain,
( ( cons(sK57,app(sK59,sK58)) = nil )
| ( hd(cons(sK57,app(sK59,sK58))) = sK51(cons(sK57,app(sK59,sK58))) ) ),
inference(superposition,[status(thm)],[c_41763,c_220]) ).
tcf(c_41868,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK58)))
| ( sK40(cons(sK57,app(sK59,sK58))) = sK41(cons(sK57,app(sK59,sK58))) ) ),
inference(superposition,[status(thm)],[c_41763,c_123]) ).
tcf(c_41869,plain,
app(cons(sK57,app(sK59,sK58)),nil) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_41763,c_232]) ).
tcf(c_41870,plain,
app(nil,cons(sK57,app(sK59,sK58))) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_41763,c_155]) ).
tcf(c_41960,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_41764,c_183]) ).
tcf(c_41961,plain,
( ( cons(sK57,app(sK59,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK59,sK58)))
| ~ rearsegP(sK58,cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_41764,c_184]) ).
tcf(c_41962,plain,
( ( app(sK12(cons(sK57,app(sK59,sK58)),sK58),sK58) = cons(sK57,app(sK59,sK58)) )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_41764,c_66]) ).
tcf(c_41964,plain,
app(sK12(cons(sK57,app(sK59,sK58)),sK58),sK58) = cons(sK57,app(sK59,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_41962,c_8915,c_41763]) ).
tcf(c_41965,plain,
( ( cons(sK57,app(sK59,sK58)) = sK58 )
| ~ rearsegP(sK58,cons(sK57,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41961,c_8915,c_41763]) ).
tcf(c_41974,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ ssList(app(app(X0,cons(sK50(tl(sK58)),X1)),tl(sK58)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(tl(sK58)),X1)),cons(sK50(tl(sK58)),sK49(tl(sK58))))) ),
inference(superposition,[status(thm)],[c_15715,c_130]) ).
tcf(c_41975,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK50(tl(sK58)),X1)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ ssList(app(app(X0,tl(sK58)),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK50(tl(sK58)),sK49(tl(sK58)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15715,c_122]) ).
tcf(c_41976,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK50(tl(sK58)),X1)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ ssList(app(app(X0,tl(sK58)),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK50(tl(sK58)),sK49(tl(sK58)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15715,c_114]) ).
tcf(c_41977,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ ssList(app(app(X0,tl(sK58)),cons(sK50(tl(sK58)),X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(tl(sK58)),sK49(tl(sK58)))),cons(sK50(tl(sK58)),X1))) ),
inference(superposition,[status(thm)],[c_15715,c_130]) ).
tcf(c_41981,plain,
! [X0: $i] :
( memberP(app(X0,tl(sK58)),sK50(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ ssList(app(X0,cons(sK50(tl(sK58)),sK49(tl(sK58))))) ),
inference(superposition,[status(thm)],[c_15715,c_54]) ).
tcf(c_41982,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(sK58)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK50(tl(sK58)),sK49(tl(sK58))))) ),
inference(superposition,[status(thm)],[c_15715,c_122]) ).
tcf(c_41983,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(sK58)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK50(tl(sK58)),sK49(tl(sK58))))) ),
inference(superposition,[status(thm)],[c_15715,c_114]) ).
tcf(c_41987,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( sK50(tl(sK58)) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ ssList(app(X0,cons(X1,tl(sK58))))
| ~ equalelemsP(app(X0,cons(X1,cons(sK50(tl(sK58)),sK49(tl(sK58)))))) ),
inference(superposition,[status(thm)],[c_15715,c_137]) ).
tcf(c_41990,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( sK50(tl(sK58)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ frontsegP(cons(X0,X1),tl(sK58)) ),
inference(superposition,[status(thm)],[c_15715,c_178]) ).
tcf(c_41991,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,sK49(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ frontsegP(cons(X0,X1),tl(sK58)) ),
inference(superposition,[status(thm)],[c_15715,c_179]) ).
tcf(c_41992,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( sK49(tl(sK58)) = nil )
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ( tl(sK58) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15715,c_27842]) ).
tcf(c_41993,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( sK50(tl(sK58)) = sK57 )
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ( tl(sK58) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15715,c_27744]) ).
tcf(c_41994,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( sK50(tl(sK58)) = sK57 )
| ~ frontsegP(iPr_def_11,tl(sK58))
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58))) ),
inference(superposition,[status(thm)],[c_15715,c_27481]) ).
tcf(c_41995,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( sK50(tl(sK58)) = sK57 )
| ~ frontsegP(tl(sK58),iPr_def_11)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58))) ),
inference(superposition,[status(thm)],[c_15715,c_27471]) ).
tcf(c_41996,plain,
( frontsegP(nil,sK49(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ frontsegP(iPr_def_11,tl(sK58))
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58))) ),
inference(superposition,[status(thm)],[c_15715,c_26657]) ).
tcf(c_41997,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( sK49(tl(sK58)) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ( cons(X0,X1) != tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15715,c_144]) ).
tcf(c_41998,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( sK50(tl(sK58)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ( cons(X0,X1) != tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15715,c_143]) ).
tcf(c_41999,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( sK50(tl(sK58)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ frontsegP(tl(sK58),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_15715,c_178]) ).
tcf(c_42000,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK49(tl(sK58)),X1)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ frontsegP(tl(sK58),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_15715,c_179]) ).
tcf(c_42001,plain,
! [X0: $i] :
( memberP(sK49(tl(sK58)),X0)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ( sK50(tl(sK58)) = X0 )
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ memberP(tl(sK58),X0) ),
inference(superposition,[status(thm)],[c_15715,c_170]) ).
tcf(c_42002,plain,
( lt(sK50(tl(sK58)),hd(sK49(tl(sK58))))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ( sK49(tl(sK58)) = nil )
| ~ strictorderedP(tl(sK58))
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58))) ),
inference(superposition,[status(thm)],[c_15715,c_214]) ).
tcf(c_42003,plain,
( leq(sK50(tl(sK58)),hd(sK49(tl(sK58))))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ( sK49(tl(sK58)) = nil )
| ~ totalorderedP(tl(sK58))
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58))) ),
inference(superposition,[status(thm)],[c_15715,c_208]) ).
tcf(c_42004,plain,
( strictorderedP(sK49(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ( sK49(tl(sK58)) = nil )
| ~ strictorderedP(tl(sK58))
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58))) ),
inference(superposition,[status(thm)],[c_15715,c_213]) ).
tcf(c_42005,plain,
( totalorderedP(sK49(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ( sK49(tl(sK58)) = nil )
| ~ totalorderedP(tl(sK58))
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58))) ),
inference(superposition,[status(thm)],[c_15715,c_207]) ).
tcf(c_42007,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ( sK49(tl(sK58)) != tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15715,c_142]) ).
tcf(c_42008,plain,
( memberP(tl(sK58),sK50(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58))) ),
inference(superposition,[status(thm)],[c_15715,c_168]) ).
tcf(c_42010,plain,
! [X0: $i] :
( frontsegP(tl(sK58),cons(sK50(tl(sK58)),X0))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ frontsegP(sK49(tl(sK58)),X0) ),
inference(superposition,[status(thm)],[c_15715,c_177]) ).
tcf(c_42011,plain,
! [X0: $i] :
( memberP(tl(sK58),X0)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ memberP(sK49(tl(sK58)),X0) ),
inference(superposition,[status(thm)],[c_15715,c_169]) ).
tcf(c_42012,plain,
! [X0: $i] :
( frontsegP(cons(sK50(tl(sK58)),X0),tl(sK58))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ frontsegP(X0,sK49(tl(sK58))) ),
inference(superposition,[status(thm)],[c_15715,c_177]) ).
tcf(c_42421,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK58),X0),sK58)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_11,sK58),X0)) ),
inference(superposition,[status(thm)],[c_41528,c_67]) ).
tcf(c_42424,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK58,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK58),X0) ),
inference(superposition,[status(thm)],[c_41528,c_167]) ).
tcf(c_42425,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ( cons(sK57,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_41528,c_231]) ).
tcf(c_42426,plain,
( ( nil = sK58 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ( cons(sK57,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_41528,c_230]) ).
tcf(c_42427,plain,
( frontsegP(cons(sK57,sK58),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_41528,c_382]) ).
tcf(c_42428,plain,
( rearsegP(cons(sK57,sK58),sK58)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_41528,c_379]) ).
tcf(c_42429,plain,
( ssList(cons(sK57,sK58))
| ~ ssList(iPr_def_11)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_41528,c_153]) ).
tcf(c_42430,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X0)
| ( app(X0,sK58) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_41528,c_225]) ).
tcf(c_42431,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_41528,c_226]) ).
tcf(c_42432,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK58),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_41528,c_176]) ).
tcf(c_42433,plain,
! [X0: $i] :
( memberP(cons(sK57,sK58),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_41528,c_165]) ).
tcf(c_42434,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK58),X1),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_41528,c_193]) ).
tcf(c_42435,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK58),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(superposition,[status(thm)],[c_41528,c_186]) ).
tcf(c_42436,plain,
! [X0: $i] :
( memberP(cons(sK57,sK58),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(superposition,[status(thm)],[c_41528,c_166]) ).
tcf(c_42437,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,sK58) != sK58 ) ),
inference(superposition,[status(thm)],[c_41528,c_25207]) ).
tcf(c_42438,plain,
ssList(cons(sK57,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_42429,c_12706,c_8915]) ).
tcf(c_42439,plain,
rearsegP(cons(sK57,sK58),sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_42428,c_12706,c_8915]) ).
tcf(c_42440,plain,
frontsegP(cons(sK57,sK58),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_42427,c_12706,c_8915]) ).
tcf(c_42441,plain,
cons(sK57,sK58) != sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_42437,c_13775,c_12706]) ).
tcf(c_42445,plain,
cons(sK57,sK58) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_42425,c_13775,c_12706,c_8915]) ).
tcf(c_42446,plain,
! [X0: $i] :
( memberP(cons(sK57,sK58),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42436,c_12706,c_8915]) ).
tcf(c_42450,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK58),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42435,c_12706,c_8915]) ).
tcf(c_42454,plain,
! [X0: $i] :
( memberP(cons(sK57,sK58),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42433,c_12706,c_8915]) ).
tcf(c_42458,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42432,c_12706,c_8915]) ).
tcf(c_42462,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK58,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42424,c_12706,c_8915]) ).
tcf(c_42467,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42431,c_12706,c_8915]) ).
tcf(c_42471,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,sK58) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42430,c_12706,c_8915]) ).
tcf(c_42475,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK58),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42434,c_12706,c_8915]) ).
tcf(c_42480,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK58),X0),sK58)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK58),X0)) ),
inference(light_normalisation,[status(thm)],[c_42421,c_41528]) ).
tcf(c_42481,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK58),X0),sK58)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK58),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42480,c_12706,c_8915]) ).
tcf(c_42485,plain,
frontsegP(cons(sK57,app(sK58,sK59)),cons(sK57,sK58)),
inference(backward_subsumption_resolution,[status(thm)],[c_38370,c_42438]) ).
tcf(c_42486,plain,
rearsegP(cons(sK57,app(sK58,sK59)),sK59),
inference(backward_subsumption_resolution,[status(thm)],[c_38367,c_42438]) ).
tcf(c_42487,plain,
ssList(cons(sK57,app(sK58,sK59))),
inference(backward_subsumption_resolution,[status(thm)],[c_38364,c_42438]) ).
tcf(c_42584,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,sK58)) = app(X0,app(X1,cons(sK57,sK58))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_42438,c_228]) ).
tcf(c_42585,plain,
cons(sK57,app(cons(sK57,sK58),sK58)) = app(cons(sK57,cons(sK57,sK58)),sK58),
inference(superposition,[status(thm)],[c_42438,c_37364]) ).
tcf(c_42586,plain,
hd(cons(sK7,cons(sK57,sK58))) = sK7,
inference(superposition,[status(thm)],[c_42438,c_13802]) ).
tcf(c_42587,plain,
hd(cons(sK6,cons(sK57,sK58))) = sK6,
inference(superposition,[status(thm)],[c_42438,c_13801]) ).
tcf(c_42588,plain,
cons(sK57,app(cons(sK57,sK58),sK59)) = app(cons(sK57,cons(sK57,sK58)),sK59),
inference(superposition,[status(thm)],[c_42438,c_37363]) ).
tcf(c_42589,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,sK58))) = app(cons(sK57,X0),cons(sK57,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_42438,c_22147]) ).
tcf(c_42590,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,sK58)) = tl(app(sK56,cons(sK57,sK58))) ) ),
inference(superposition,[status(thm)],[c_42438,c_21660]) ).
tcf(c_42591,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,sK58)) = tl(app(sK58,cons(sK57,sK58))) ) ),
inference(superposition,[status(thm)],[c_42438,c_21659]) ).
tcf(c_42592,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,sK58)) = tl(app(sK59,cons(sK57,sK58))) ) ),
inference(superposition,[status(thm)],[c_42438,c_21658]) ).
tcf(c_42593,plain,
( duplicatefreeP(cons(sK57,sK58))
| ( app(app(sK42(cons(sK57,sK58)),cons(sK40(cons(sK57,sK58)),sK43(cons(sK57,sK58)))),cons(sK41(cons(sK57,sK58)),sK44(cons(sK57,sK58)))) = cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_42438,c_124]) ).
tcf(c_42594,plain,
( strictorderedP(cons(sK57,sK58))
| ( app(app(sK37(cons(sK57,sK58)),cons(sK35(cons(sK57,sK58)),sK38(cons(sK57,sK58)))),cons(sK36(cons(sK57,sK58)),sK39(cons(sK57,sK58)))) = cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_42438,c_116]) ).
tcf(c_42595,plain,
( totalorderedP(cons(sK57,sK58))
| ( app(app(sK32(cons(sK57,sK58)),cons(sK30(cons(sK57,sK58)),sK33(cons(sK57,sK58)))),cons(sK31(cons(sK57,sK58)),sK34(cons(sK57,sK58)))) = cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_42438,c_108]) ).
tcf(c_42596,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,sK58))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_42438,c_19187]) ).
tcf(c_42597,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = nil )
| ( app(tl(cons(sK57,sK58)),X0) = tl(app(cons(sK57,sK58),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_42438,c_234]) ).
tcf(c_42598,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,sK58))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_42438,c_19186]) ).
tcf(c_42599,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,sK58))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_42438,c_19185]) ).
tcf(c_42600,plain,
( equalelemsP(cons(sK57,sK58))
| ( app(sK47(cons(sK57,sK58)),cons(sK45(cons(sK57,sK58)),cons(sK46(cons(sK57,sK58)),sK48(cons(sK57,sK58))))) = cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_42438,c_132]) ).
tcf(c_42601,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = nil )
| ( hd(app(cons(sK57,sK58),X0)) = hd(cons(sK57,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_42438,c_233]) ).
tcf(c_42602,plain,
( ( cons(sK57,sK58) = nil )
| ( cons(hd(cons(sK57,sK58)),tl(cons(sK57,sK58))) = cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_42438,c_224]) ).
tcf(c_42603,plain,
( ( cons(sK57,sK58) = nil )
| ( cons(sK50(cons(sK57,sK58)),sK49(cons(sK57,sK58))) = cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_42438,c_147]) ).
tcf(c_42604,plain,
tl(cons(sK57,cons(sK57,sK58))) = cons(sK57,sK58),
inference(superposition,[status(thm)],[c_42438,c_13997]) ).
tcf(c_42605,plain,
hd(cons(sK57,cons(sK57,sK58))) = sK57,
inference(superposition,[status(thm)],[c_42438,c_13821]) ).
tcf(c_42606,plain,
( ( cons(sK57,sK58) = nil )
| ( tl(cons(sK57,sK58)) = sK52(cons(sK57,sK58)) ) ),
inference(superposition,[status(thm)],[c_42438,c_222]) ).
tcf(c_42607,plain,
( ( cons(sK57,sK58) = nil )
| ( hd(cons(sK57,sK58)) = sK51(cons(sK57,sK58)) ) ),
inference(superposition,[status(thm)],[c_42438,c_220]) ).
tcf(c_42608,plain,
( duplicatefreeP(cons(sK57,sK58))
| ( sK40(cons(sK57,sK58)) = sK41(cons(sK57,sK58)) ) ),
inference(superposition,[status(thm)],[c_42438,c_123]) ).
tcf(c_42609,plain,
app(cons(sK57,sK58),nil) = cons(sK57,sK58),
inference(superposition,[status(thm)],[c_42438,c_232]) ).
tcf(c_42610,plain,
app(nil,cons(sK57,sK58)) = cons(sK57,sK58),
inference(superposition,[status(thm)],[c_42438,c_155]) ).
tcf(c_42619,plain,
( ( cons(sK57,sK58) = nil )
| ( sK51(cons(sK57,sK58)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_42607,c_14668]) ).
tcf(c_42622,plain,
( ( cons(sK57,sK58) = nil )
| ( sK52(cons(sK57,sK58)) = sK58 ) ),
inference(light_normalisation,[status(thm)],[c_42606,c_14840]) ).
tcf(c_42625,plain,
cons(sK57,cons(sK57,app(sK58,sK59))) = app(cons(sK57,cons(sK57,sK58)),sK59),
inference(light_normalisation,[status(thm)],[c_42588,c_37872]) ).
tcf(c_42626,plain,
cons(sK57,cons(sK57,app(sK58,sK58))) = app(cons(sK57,cons(sK57,sK58)),sK58),
inference(light_normalisation,[status(thm)],[c_42585,c_41514]) ).
tcf(c_42638,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = nil )
| ( hd(app(cons(sK57,sK58),X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_42601,c_14668]) ).
tcf(c_42645,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = nil )
| ( tl(app(cons(sK57,sK58),X0)) = app(sK58,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_42597,c_14840]) ).
tcf(c_42765,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK58),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42439,c_183]) ).
tcf(c_42766,plain,
( ( cons(sK57,sK58) = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK58))
| ~ rearsegP(sK58,cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42439,c_184]) ).
tcf(c_42767,plain,
( ( app(sK12(cons(sK57,sK58),sK58),sK58) = cons(sK57,sK58) )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42439,c_66]) ).
tcf(c_42768,plain,
app(sK12(cons(sK57,sK58),sK58),sK58) = cons(sK57,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_42767,c_8915,c_42438]) ).
tcf(c_42769,plain,
( ( cons(sK57,sK58) = sK58 )
| ~ rearsegP(sK58,cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42766,c_8915,c_42438]) ).
tcf(c_42773,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK58),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42440,c_173]) ).
tcf(c_42774,plain,
( ( cons(sK57,sK58) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK57,sK58))
| ~ frontsegP(iPr_def_11,cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42440,c_174]) ).
tcf(c_42775,plain,
( ( app(iPr_def_11,sK11(cons(sK57,sK58),iPr_def_11)) = cons(sK57,sK58) )
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42440,c_63]) ).
tcf(c_42777,plain,
app(iPr_def_11,sK11(cons(sK57,sK58),iPr_def_11)) = cons(sK57,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_42775,c_12706,c_42438]) ).
tcf(c_42778,plain,
( ( cons(sK57,sK58) = iPr_def_11 )
| ~ frontsegP(iPr_def_11,cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42774,c_12706,c_42438]) ).
tcf(c_42782,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK58,sK59))) = app(X0,app(X1,cons(sK57,app(sK58,sK59)))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_42487,c_228]) ).
tcf(c_42783,plain,
cons(sK57,app(cons(sK57,app(sK58,sK59)),sK58)) = app(cons(sK57,cons(sK57,app(sK58,sK59))),sK58),
inference(superposition,[status(thm)],[c_42487,c_37364]) ).
tcf(c_42784,plain,
hd(cons(sK7,cons(sK57,app(sK58,sK59)))) = sK7,
inference(superposition,[status(thm)],[c_42487,c_13802]) ).
tcf(c_42785,plain,
hd(cons(sK6,cons(sK57,app(sK58,sK59)))) = sK6,
inference(superposition,[status(thm)],[c_42487,c_13801]) ).
tcf(c_42786,plain,
cons(sK57,app(cons(sK57,app(sK58,sK59)),sK59)) = app(cons(sK57,cons(sK57,app(sK58,sK59))),sK59),
inference(superposition,[status(thm)],[c_42487,c_37363]) ).
tcf(c_42787,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK58,sK59)))) = app(cons(sK57,X0),cons(sK57,app(sK58,sK59))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_42487,c_22147]) ).
tcf(c_42788,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK58,sK59))) = tl(app(sK56,cons(sK57,app(sK58,sK59)))) ) ),
inference(superposition,[status(thm)],[c_42487,c_21660]) ).
tcf(c_42789,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK58,sK59))) = tl(app(sK58,cons(sK57,app(sK58,sK59)))) ) ),
inference(superposition,[status(thm)],[c_42487,c_21659]) ).
tcf(c_42790,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK58,sK59))) = tl(app(sK59,cons(sK57,app(sK58,sK59)))) ) ),
inference(superposition,[status(thm)],[c_42487,c_21658]) ).
tcf(c_42791,plain,
( duplicatefreeP(cons(sK57,app(sK58,sK59)))
| ( app(app(sK42(cons(sK57,app(sK58,sK59))),cons(sK40(cons(sK57,app(sK58,sK59))),sK43(cons(sK57,app(sK58,sK59))))),cons(sK41(cons(sK57,app(sK58,sK59))),sK44(cons(sK57,app(sK58,sK59))))) = cons(sK57,app(sK58,sK59)) ) ),
inference(superposition,[status(thm)],[c_42487,c_124]) ).
tcf(c_42792,plain,
( strictorderedP(cons(sK57,app(sK58,sK59)))
| ( app(app(sK37(cons(sK57,app(sK58,sK59))),cons(sK35(cons(sK57,app(sK58,sK59))),sK38(cons(sK57,app(sK58,sK59))))),cons(sK36(cons(sK57,app(sK58,sK59))),sK39(cons(sK57,app(sK58,sK59))))) = cons(sK57,app(sK58,sK59)) ) ),
inference(superposition,[status(thm)],[c_42487,c_116]) ).
tcf(c_42793,plain,
( totalorderedP(cons(sK57,app(sK58,sK59)))
| ( app(app(sK32(cons(sK57,app(sK58,sK59))),cons(sK30(cons(sK57,app(sK58,sK59))),sK33(cons(sK57,app(sK58,sK59))))),cons(sK31(cons(sK57,app(sK58,sK59))),sK34(cons(sK57,app(sK58,sK59))))) = cons(sK57,app(sK58,sK59)) ) ),
inference(superposition,[status(thm)],[c_42487,c_108]) ).
tcf(c_42794,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK58,sK59)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_42487,c_19187]) ).
tcf(c_42795,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK59)) = nil )
| ( app(tl(cons(sK57,app(sK58,sK59))),X0) = tl(app(cons(sK57,app(sK58,sK59)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_42487,c_234]) ).
tcf(c_42796,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK58,sK59)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_42487,c_19186]) ).
tcf(c_42797,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK58,sK59)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_42487,c_19185]) ).
tcf(c_42798,plain,
( equalelemsP(cons(sK57,app(sK58,sK59)))
| ( app(sK47(cons(sK57,app(sK58,sK59))),cons(sK45(cons(sK57,app(sK58,sK59))),cons(sK46(cons(sK57,app(sK58,sK59))),sK48(cons(sK57,app(sK58,sK59)))))) = cons(sK57,app(sK58,sK59)) ) ),
inference(superposition,[status(thm)],[c_42487,c_132]) ).
tcf(c_42799,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK59)) = nil )
| ( hd(app(cons(sK57,app(sK58,sK59)),X0)) = hd(cons(sK57,app(sK58,sK59))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_42487,c_233]) ).
tcf(c_42800,plain,
( ( cons(sK57,app(sK58,sK59)) = nil )
| ( cons(hd(cons(sK57,app(sK58,sK59))),tl(cons(sK57,app(sK58,sK59)))) = cons(sK57,app(sK58,sK59)) ) ),
inference(superposition,[status(thm)],[c_42487,c_224]) ).
tcf(c_42801,plain,
( ( cons(sK57,app(sK58,sK59)) = nil )
| ( cons(sK50(cons(sK57,app(sK58,sK59))),sK49(cons(sK57,app(sK58,sK59)))) = cons(sK57,app(sK58,sK59)) ) ),
inference(superposition,[status(thm)],[c_42487,c_147]) ).
tcf(c_42802,plain,
tl(cons(sK57,cons(sK57,app(sK58,sK59)))) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_42487,c_13997]) ).
tcf(c_42803,plain,
hd(cons(sK57,cons(sK57,app(sK58,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_42487,c_13821]) ).
tcf(c_42804,plain,
( ( cons(sK57,app(sK58,sK59)) = nil )
| ( tl(cons(sK57,app(sK58,sK59))) = sK52(cons(sK57,app(sK58,sK59))) ) ),
inference(superposition,[status(thm)],[c_42487,c_222]) ).
tcf(c_42805,plain,
( ( cons(sK57,app(sK58,sK59)) = nil )
| ( hd(cons(sK57,app(sK58,sK59))) = sK51(cons(sK57,app(sK58,sK59))) ) ),
inference(superposition,[status(thm)],[c_42487,c_220]) ).
tcf(c_42806,plain,
( duplicatefreeP(cons(sK57,app(sK58,sK59)))
| ( sK40(cons(sK57,app(sK58,sK59))) = sK41(cons(sK57,app(sK58,sK59))) ) ),
inference(superposition,[status(thm)],[c_42487,c_123]) ).
tcf(c_42807,plain,
app(cons(sK57,app(sK58,sK59)),nil) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_42487,c_232]) ).
tcf(c_42808,plain,
app(nil,cons(sK57,app(sK58,sK59))) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_42487,c_155]) ).
tcf(c_43032,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,iPr_def_12) = nil )
| ( cons(sK7,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,iPr_def_12))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,iPr_def_12)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_40718,c_223]) ).
tcf(c_43033,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,iPr_def_12)))
| ( cons(sK7,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,iPr_def_12))
| ~ ssList(cons(sK7,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_40718,c_212]) ).
tcf(c_43034,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,iPr_def_12)))
| ( cons(sK7,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,iPr_def_12))
| ~ ssList(cons(sK7,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_40718,c_206]) ).
tcf(c_43112,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,iPr_def_11) = nil )
| ( cons(sK7,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,iPr_def_11))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,iPr_def_11)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_40719,c_223]) ).
tcf(c_43113,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,iPr_def_11)))
| ( cons(sK7,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,iPr_def_11))
| ~ ssList(cons(sK7,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_40719,c_212]) ).
tcf(c_43114,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,iPr_def_11)))
| ( cons(sK7,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,iPr_def_11))
| ~ ssList(cons(sK7,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_40719,c_206]) ).
tcf(c_43138,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,iPr_def_10) = nil )
| ( cons(sK7,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,iPr_def_10))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,iPr_def_10)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_40720,c_223]) ).
tcf(c_43139,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,iPr_def_10)))
| ( cons(sK7,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,iPr_def_10))
| ~ ssList(cons(sK7,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_40720,c_212]) ).
tcf(c_43140,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,iPr_def_10)))
| ( cons(sK7,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,iPr_def_10))
| ~ ssList(cons(sK7,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_40720,c_206]) ).
tcf(c_43162,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_41765,c_173]) ).
tcf(c_43163,plain,
( ( cons(sK57,app(sK59,sK58)) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59))
| ~ ssList(cons(sK57,app(sK59,sK58)))
| ~ frontsegP(cons(sK57,sK59),cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_41765,c_174]) ).
tcf(c_43164,plain,
( ( app(cons(sK57,sK59),sK11(cons(sK57,app(sK59,sK58)),cons(sK57,sK59))) = cons(sK57,app(sK59,sK58)) )
| ~ ssList(cons(sK57,sK59))
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_41765,c_63]) ).
tcf(c_43166,plain,
( frontsegP(app(sK59,sK58),sK59)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_41765,c_179]) ).
tcf(c_43167,plain,
( frontsegP(app(sK59,sK58),sK59)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43166,c_8916,c_8914]) ).
tcf(c_43171,plain,
app(cons(sK57,sK59),sK11(cons(sK57,app(sK59,sK58)),cons(sK57,sK59))) = cons(sK57,app(sK59,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_43164,c_38491,c_41763]) ).
tcf(c_43172,plain,
( ( cons(sK57,app(sK59,sK58)) = cons(sK57,sK59) )
| ~ frontsegP(cons(sK57,sK59),cons(sK57,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43163,c_38491,c_41763]) ).
tcf(c_43179,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK58),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_43167,c_173]) ).
tcf(c_43180,plain,
( ( app(sK59,sK58) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK58))
| ~ frontsegP(sK59,app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_43167,c_174]) ).
tcf(c_43181,plain,
( ( app(sK59,sK11(app(sK59,sK58),sK59)) = app(sK59,sK58) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_43167,c_63]) ).
tcf(c_43182,plain,
( ( app(sK59,sK11(app(sK59,sK58),sK59)) = app(sK59,sK58) )
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43181,c_8916]) ).
tcf(c_43185,plain,
( ( app(sK59,sK58) = sK59 )
| ~ ssList(app(sK59,sK58))
| ~ frontsegP(sK59,app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43180,c_8916]) ).
tcf(c_43189,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43179,c_8916]) ).
tcf(c_43195,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(app(app(cons(sK57,sK58),sK58),X0)) ),
inference(superposition,[status(thm)],[c_41514,c_67]) ).
tcf(c_43198,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(cons(sK57,sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK58))
| ~ memberP(cons(sK57,app(sK58,sK58)),X0) ),
inference(superposition,[status(thm)],[c_41514,c_167]) ).
tcf(c_43199,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_41514,c_231]) ).
tcf(c_43200,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_41514,c_230]) ).
tcf(c_43201,plain,
( frontsegP(cons(sK57,app(sK58,sK58)),cons(sK57,sK58))
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_41514,c_382]) ).
tcf(c_43202,plain,
( rearsegP(cons(sK57,app(sK58,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_41514,c_379]) ).
tcf(c_43203,plain,
( ssList(cons(sK57,app(sK58,sK58)))
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_41514,c_153]) ).
tcf(c_43204,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK58)) != app(X0,sK58) ) ),
inference(superposition,[status(thm)],[c_41514,c_225]) ).
tcf(c_43205,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ( app(cons(sK57,sK58),X0) != cons(sK57,app(sK58,sK58)) ) ),
inference(superposition,[status(thm)],[c_41514,c_226]) ).
tcf(c_43206,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ frontsegP(cons(sK57,sK58),X0) ),
inference(superposition,[status(thm)],[c_41514,c_176]) ).
tcf(c_43207,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK58))
| ~ memberP(cons(sK57,sK58),X0) ),
inference(superposition,[status(thm)],[c_41514,c_165]) ).
tcf(c_43208,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK58,sK58)),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_41514,c_193]) ).
tcf(c_43209,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_41514,c_186]) ).
tcf(c_43210,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_41514,c_166]) ).
tcf(c_43211,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_41514,c_25207]) ).
tcf(c_43212,plain,
ssList(cons(sK57,app(sK58,sK58))),
inference(forward_subsumption_resolution,[status(thm)],[c_43203,c_8915,c_42438]) ).
tcf(c_43213,plain,
rearsegP(cons(sK57,app(sK58,sK58)),sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_43202,c_8915,c_42438]) ).
tcf(c_43214,plain,
frontsegP(cons(sK57,app(sK58,sK58)),cons(sK57,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_43201,c_8915,c_42438]) ).
tcf(c_43215,plain,
cons(sK57,app(sK58,sK58)) != sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_43211,c_42445,c_42438]) ).
tcf(c_43219,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43210,c_8915,c_42438]) ).
tcf(c_43223,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43209,c_8915,c_42438]) ).
tcf(c_43227,plain,
cons(sK57,app(sK58,sK58)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_43199,c_42445,c_8915,c_42438]) ).
tcf(c_43228,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43207,c_8915,c_42438]) ).
tcf(c_43232,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43206,c_8915,c_42438]) ).
tcf(c_43236,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK58,sK58)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43208,c_8915,c_42438]) ).
tcf(c_43241,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(cons(sK57,sK58),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK58,sK58)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43198,c_8915,c_42438]) ).
tcf(c_43246,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(cons(sK57,sK58),X0) != cons(sK57,app(sK58,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43205,c_8915,c_42438]) ).
tcf(c_43250,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(X0)
| ( cons(sK57,app(sK58,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43204,c_8915,c_42438]) ).
tcf(c_43254,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(app(cons(sK57,app(sK58,sK58)),X0)) ),
inference(light_normalisation,[status(thm)],[c_43195,c_41514]) ).
tcf(c_43255,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK58)),X0),sK58)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,app(sK58,sK58)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43254,c_8915,c_42438]) ).
tcf(c_43304,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK58,sK58))) = app(X0,app(X1,cons(sK57,app(sK58,sK58)))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_43212,c_228]) ).
tcf(c_43305,plain,
cons(sK57,app(cons(sK57,app(sK58,sK58)),sK58)) = app(cons(sK57,cons(sK57,app(sK58,sK58))),sK58),
inference(superposition,[status(thm)],[c_43212,c_37364]) ).
tcf(c_43306,plain,
hd(cons(sK7,cons(sK57,app(sK58,sK58)))) = sK7,
inference(superposition,[status(thm)],[c_43212,c_13802]) ).
tcf(c_43307,plain,
hd(cons(sK6,cons(sK57,app(sK58,sK58)))) = sK6,
inference(superposition,[status(thm)],[c_43212,c_13801]) ).
tcf(c_43308,plain,
cons(sK57,app(cons(sK57,app(sK58,sK58)),sK59)) = app(cons(sK57,cons(sK57,app(sK58,sK58))),sK59),
inference(superposition,[status(thm)],[c_43212,c_37363]) ).
tcf(c_43309,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK58,sK58)))) = app(cons(sK57,X0),cons(sK57,app(sK58,sK58))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_43212,c_22147]) ).
tcf(c_43310,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK58,sK58))) = tl(app(sK56,cons(sK57,app(sK58,sK58)))) ) ),
inference(superposition,[status(thm)],[c_43212,c_21660]) ).
tcf(c_43311,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK58,sK58))) = tl(app(sK58,cons(sK57,app(sK58,sK58)))) ) ),
inference(superposition,[status(thm)],[c_43212,c_21659]) ).
tcf(c_43312,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK58,sK58))) = tl(app(sK59,cons(sK57,app(sK58,sK58)))) ) ),
inference(superposition,[status(thm)],[c_43212,c_21658]) ).
tcf(c_43313,plain,
( duplicatefreeP(cons(sK57,app(sK58,sK58)))
| ( app(app(sK42(cons(sK57,app(sK58,sK58))),cons(sK40(cons(sK57,app(sK58,sK58))),sK43(cons(sK57,app(sK58,sK58))))),cons(sK41(cons(sK57,app(sK58,sK58))),sK44(cons(sK57,app(sK58,sK58))))) = cons(sK57,app(sK58,sK58)) ) ),
inference(superposition,[status(thm)],[c_43212,c_124]) ).
tcf(c_43314,plain,
( strictorderedP(cons(sK57,app(sK58,sK58)))
| ( app(app(sK37(cons(sK57,app(sK58,sK58))),cons(sK35(cons(sK57,app(sK58,sK58))),sK38(cons(sK57,app(sK58,sK58))))),cons(sK36(cons(sK57,app(sK58,sK58))),sK39(cons(sK57,app(sK58,sK58))))) = cons(sK57,app(sK58,sK58)) ) ),
inference(superposition,[status(thm)],[c_43212,c_116]) ).
tcf(c_43315,plain,
( totalorderedP(cons(sK57,app(sK58,sK58)))
| ( app(app(sK32(cons(sK57,app(sK58,sK58))),cons(sK30(cons(sK57,app(sK58,sK58))),sK33(cons(sK57,app(sK58,sK58))))),cons(sK31(cons(sK57,app(sK58,sK58))),sK34(cons(sK57,app(sK58,sK58))))) = cons(sK57,app(sK58,sK58)) ) ),
inference(superposition,[status(thm)],[c_43212,c_108]) ).
tcf(c_43316,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK58,sK58)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_43212,c_19187]) ).
tcf(c_43317,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK58)) = nil )
| ( app(tl(cons(sK57,app(sK58,sK58))),X0) = tl(app(cons(sK57,app(sK58,sK58)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_43212,c_234]) ).
tcf(c_43318,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK58,sK58)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_43212,c_19186]) ).
tcf(c_43319,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK58,sK58)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_43212,c_19185]) ).
tcf(c_43320,plain,
( equalelemsP(cons(sK57,app(sK58,sK58)))
| ( app(sK47(cons(sK57,app(sK58,sK58))),cons(sK45(cons(sK57,app(sK58,sK58))),cons(sK46(cons(sK57,app(sK58,sK58))),sK48(cons(sK57,app(sK58,sK58)))))) = cons(sK57,app(sK58,sK58)) ) ),
inference(superposition,[status(thm)],[c_43212,c_132]) ).
tcf(c_43321,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK58)) = nil )
| ( hd(app(cons(sK57,app(sK58,sK58)),X0)) = hd(cons(sK57,app(sK58,sK58))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_43212,c_233]) ).
tcf(c_43322,plain,
( ( cons(sK57,app(sK58,sK58)) = nil )
| ( cons(hd(cons(sK57,app(sK58,sK58))),tl(cons(sK57,app(sK58,sK58)))) = cons(sK57,app(sK58,sK58)) ) ),
inference(superposition,[status(thm)],[c_43212,c_224]) ).
tcf(c_43323,plain,
( ( cons(sK57,app(sK58,sK58)) = nil )
| ( cons(sK50(cons(sK57,app(sK58,sK58))),sK49(cons(sK57,app(sK58,sK58)))) = cons(sK57,app(sK58,sK58)) ) ),
inference(superposition,[status(thm)],[c_43212,c_147]) ).
tcf(c_43324,plain,
tl(cons(sK57,cons(sK57,app(sK58,sK58)))) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_43212,c_13997]) ).
tcf(c_43325,plain,
hd(cons(sK57,cons(sK57,app(sK58,sK58)))) = sK57,
inference(superposition,[status(thm)],[c_43212,c_13821]) ).
tcf(c_43326,plain,
( ( cons(sK57,app(sK58,sK58)) = nil )
| ( tl(cons(sK57,app(sK58,sK58))) = sK52(cons(sK57,app(sK58,sK58))) ) ),
inference(superposition,[status(thm)],[c_43212,c_222]) ).
tcf(c_43327,plain,
( ( cons(sK57,app(sK58,sK58)) = nil )
| ( hd(cons(sK57,app(sK58,sK58))) = sK51(cons(sK57,app(sK58,sK58))) ) ),
inference(superposition,[status(thm)],[c_43212,c_220]) ).
tcf(c_43328,plain,
( duplicatefreeP(cons(sK57,app(sK58,sK58)))
| ( sK40(cons(sK57,app(sK58,sK58))) = sK41(cons(sK57,app(sK58,sK58))) ) ),
inference(superposition,[status(thm)],[c_43212,c_123]) ).
tcf(c_43329,plain,
app(cons(sK57,app(sK58,sK58)),nil) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_43212,c_232]) ).
tcf(c_43330,plain,
app(nil,cons(sK57,app(sK58,sK58))) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_43212,c_155]) ).
tcf(c_43412,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_43213,c_183]) ).
tcf(c_43413,plain,
( ( cons(sK57,app(sK58,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK58,sK58)))
| ~ rearsegP(sK58,cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_43213,c_184]) ).
tcf(c_43414,plain,
( ( app(sK12(cons(sK57,app(sK58,sK58)),sK58),sK58) = cons(sK57,app(sK58,sK58)) )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_43213,c_66]) ).
tcf(c_43416,plain,
app(sK12(cons(sK57,app(sK58,sK58)),sK58),sK58) = cons(sK57,app(sK58,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_43414,c_8915,c_43212]) ).
tcf(c_43417,plain,
( ( cons(sK57,app(sK58,sK58)) = sK58 )
| ~ rearsegP(sK58,cons(sK57,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43413,c_8915,c_43212]) ).
tcf(c_43420,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ frontsegP(cons(sK57,sK58),X0)
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_43214,c_173]) ).
tcf(c_43421,plain,
( ( cons(sK57,app(sK58,sK58)) = cons(sK57,sK58) )
| ~ ssList(cons(sK57,sK58))
| ~ ssList(cons(sK57,app(sK58,sK58)))
| ~ frontsegP(cons(sK57,sK58),cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_43214,c_174]) ).
tcf(c_43422,plain,
( ( app(cons(sK57,sK58),sK11(cons(sK57,app(sK58,sK58)),cons(sK57,sK58))) = cons(sK57,app(sK58,sK58)) )
| ~ ssList(cons(sK57,sK58))
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_43214,c_63]) ).
tcf(c_43424,plain,
( frontsegP(app(sK58,sK58),sK58)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_43214,c_179]) ).
tcf(c_43425,plain,
( frontsegP(app(sK58,sK58),sK58)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43424,c_8915,c_8914]) ).
tcf(c_43429,plain,
app(cons(sK57,sK58),sK11(cons(sK57,app(sK58,sK58)),cons(sK57,sK58))) = cons(sK57,app(sK58,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_43422,c_42438,c_43212]) ).
tcf(c_43430,plain,
( ( cons(sK57,app(sK58,sK58)) = cons(sK57,sK58) )
| ~ frontsegP(cons(sK57,sK58),cons(sK57,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43421,c_42438,c_43212]) ).
tcf(c_43438,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_42486,c_183]) ).
tcf(c_43439,plain,
( ( cons(sK57,app(sK58,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK58,sK59)))
| ~ rearsegP(sK59,cons(sK57,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_42486,c_184]) ).
tcf(c_43440,plain,
( ( app(sK12(cons(sK57,app(sK58,sK59)),sK59),sK59) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_42486,c_66]) ).
tcf(c_43441,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43438,c_8916,c_42487]) ).
tcf(c_43445,plain,
app(sK12(cons(sK57,app(sK58,sK59)),sK59),sK59) = cons(sK57,app(sK58,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_43440,c_8916,c_42487]) ).
tcf(c_43446,plain,
( ( cons(sK57,app(sK58,sK59)) = sK59 )
| ~ rearsegP(sK59,cons(sK57,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43439,c_8916,c_42487]) ).
tcf(c_43454,plain,
( frontsegP(app(sK58,sK59),sK58)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_42485,c_179]) ).
tcf(c_43455,plain,
( frontsegP(app(sK58,sK59),sK58)
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43454,c_8915,c_8914]) ).
tcf(c_43462,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK6,sK8(X0,X1))) = sK8(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_13977]) ).
tcf(c_43463,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK6,sK9(X0,X1))) = sK9(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_13977]) ).
tcf(c_43464,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK6,app(X0,X1))) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_13977]) ).
tcf(c_43465,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK6,sK11(X0,X1))) = sK11(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_13977]) ).
tcf(c_43466,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK6,sK12(X0,X1))) = sK12(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_13977]) ).
tcf(c_43467,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK6,sK13(X0,X1))) = sK13(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_13977]) ).
tcf(c_43468,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK6,sK14(X0,X1))) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_13977]) ).
tcf(c_43478,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK6,sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_13977]) ).
tcf(c_43479,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK6,sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_13977]) ).
tcf(c_43480,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK6,sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_13977]) ).
tcf(c_43481,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK6,sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_13977]) ).
tcf(c_43482,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK6,sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_13977]) ).
tcf(c_43483,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK6,sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_13977]) ).
tcf(c_43484,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK6,sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_13977]) ).
tcf(c_43485,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK6,sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_13977]) ).
tcf(c_43486,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK6,sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_13977]) ).
tcf(c_43487,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK6,sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_13977]) ).
tcf(c_43488,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK6,sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_13977]) ).
tcf(c_43489,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK6,cons(X0,X1))) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_13977]) ).
tcf(c_43490,plain,
tl(cons(sK6,nil)) = nil,
inference(superposition,[status(thm)],[c_141,c_13977]) ).
tcf(c_43491,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK6,sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_13977]) ).
tcf(c_43492,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK6,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_13977]) ).
tcf(c_43493,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK6,sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_13977]) ).
tcf(c_43494,plain,
tl(cons(sK6,sK59)) = sK59,
inference(superposition,[status(thm)],[c_8916,c_13977]) ).
tcf(c_43495,plain,
tl(cons(sK6,sK58)) = sK58,
inference(superposition,[status(thm)],[c_8915,c_13977]) ).
tcf(c_43496,plain,
tl(cons(sK6,sK56)) = sK56,
inference(superposition,[status(thm)],[c_8907,c_13977]) ).
tcf(c_43497,plain,
tl(cons(sK6,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_12842,c_13977]) ).
tcf(c_43498,plain,
tl(cons(sK6,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_12706,c_13977]) ).
tcf(c_43499,plain,
tl(cons(sK6,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_18245,c_13977]) ).
tcf(c_43500,plain,
tl(cons(sK6,cons(sK57,sK59))) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_38491,c_13977]) ).
tcf(c_43501,plain,
tl(cons(sK6,cons(sK57,sK58))) = cons(sK57,sK58),
inference(superposition,[status(thm)],[c_42438,c_13977]) ).
tcf(c_43502,plain,
( ( nil = sK59 )
| ( tl(cons(sK6,tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_13977]) ).
tcf(c_43503,plain,
( ( nil = sK58 )
| ( tl(cons(sK6,tl(sK58))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_13977]) ).
tcf(c_43504,plain,
( ( nil = sK56 )
| ( tl(cons(sK6,tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_13977]) ).
tcf(c_43505,plain,
tl(cons(sK6,tl(iPr_def_10))) = tl(iPr_def_10),
inference(superposition,[status(thm)],[c_27219,c_13977]) ).
tcf(c_43506,plain,
tl(cons(sK6,tl(iPr_def_12))) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_19014,c_13977]) ).
tcf(c_43507,plain,
tl(cons(sK6,cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_38541,c_13977]) ).
tcf(c_43508,plain,
tl(cons(sK6,cons(sK57,app(sK58,sK59)))) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_42487,c_13977]) ).
tcf(c_43509,plain,
( ( tl(cons(sK6,cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_13977]) ).
tcf(c_43510,plain,
tl(cons(sK6,cons(sK57,app(sK59,sK58)))) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_41763,c_13977]) ).
tcf(c_43511,plain,
tl(cons(sK6,cons(sK57,app(sK58,sK58)))) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_43212,c_13977]) ).
tcf(c_43750,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK58),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_43425,c_173]) ).
tcf(c_43751,plain,
( ( app(sK58,sK58) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK58))
| ~ frontsegP(sK58,app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_43425,c_174]) ).
tcf(c_43752,plain,
( ( app(sK58,sK11(app(sK58,sK58),sK58)) = app(sK58,sK58) )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_43425,c_63]) ).
tcf(c_43753,plain,
( ( app(sK58,sK11(app(sK58,sK58),sK58)) = app(sK58,sK58) )
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43752,c_8915]) ).
tcf(c_43756,plain,
( ( app(sK58,sK58) = sK58 )
| ~ ssList(app(sK58,sK58))
| ~ frontsegP(sK58,app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43751,c_8915]) ).
tcf(c_43760,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43750,c_8915]) ).
tcf(c_43770,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK59),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_43455,c_173]) ).
tcf(c_43771,plain,
( ( app(sK58,sK59) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK59))
| ~ frontsegP(sK58,app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_43455,c_174]) ).
tcf(c_43772,plain,
( ( app(sK58,sK11(app(sK58,sK59),sK58)) = app(sK58,sK59) )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_43455,c_63]) ).
tcf(c_43773,plain,
( ( app(sK58,sK11(app(sK58,sK59),sK58)) = app(sK58,sK59) )
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43772,c_8915]) ).
tcf(c_43776,plain,
( ( app(sK58,sK59) = sK58 )
| ~ ssList(app(sK58,sK59))
| ~ frontsegP(sK58,app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43771,c_8915]) ).
tcf(c_43780,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43770,c_8915]) ).
tcf(c_43786,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(app(cons(sK57,sK56),sK58),X0)) ),
inference(superposition,[status(thm)],[c_41515,c_67]) ).
tcf(c_43789,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(cons(sK57,sK56),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,app(sK56,sK58)),X0) ),
inference(superposition,[status(thm)],[c_41515,c_167]) ).
tcf(c_43790,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_41515,c_231]) ).
tcf(c_43791,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_41515,c_230]) ).
tcf(c_43792,plain,
( frontsegP(cons(sK57,app(sK56,sK58)),cons(sK57,sK56))
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_41515,c_382]) ).
tcf(c_43793,plain,
( rearsegP(cons(sK57,app(sK56,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_41515,c_379]) ).
tcf(c_43794,plain,
( ssList(cons(sK57,app(sK56,sK58)))
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_41515,c_153]) ).
tcf(c_43795,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK58)) != app(X0,sK58) ) ),
inference(superposition,[status(thm)],[c_41515,c_225]) ).
tcf(c_43796,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( app(cons(sK57,sK56),X0) != cons(sK57,app(sK56,sK58)) ) ),
inference(superposition,[status(thm)],[c_41515,c_226]) ).
tcf(c_43797,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(superposition,[status(thm)],[c_41515,c_176]) ).
tcf(c_43798,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,sK56),X0) ),
inference(superposition,[status(thm)],[c_41515,c_165]) ).
tcf(c_43799,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK58)),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_41515,c_193]) ).
tcf(c_43800,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_41515,c_186]) ).
tcf(c_43801,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_41515,c_166]) ).
tcf(c_43802,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_41515,c_25207]) ).
tcf(c_43803,plain,
( ssList(cons(sK57,app(sK56,sK58)))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43794,c_8915]) ).
tcf(c_43806,plain,
( rearsegP(cons(sK57,app(sK56,sK58)),sK58)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43793,c_8915]) ).
tcf(c_43809,plain,
( frontsegP(cons(sK57,app(sK56,sK58)),cons(sK57,sK56))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43792,c_8915]) ).
tcf(c_43815,plain,
( ( nil = sK58 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43791,c_8915]) ).
tcf(c_43819,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43801,c_8915]) ).
tcf(c_43824,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43800,c_8915]) ).
tcf(c_43829,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43790,c_8915]) ).
tcf(c_43833,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43798,c_8915]) ).
tcf(c_43838,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43797,c_8915]) ).
tcf(c_43843,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK58)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43799,c_8915]) ).
tcf(c_43849,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(cons(sK57,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,app(sK56,sK58)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43789,c_8915]) ).
tcf(c_43855,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( app(cons(sK57,sK56),X0) != cons(sK57,app(sK56,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43796,c_8915]) ).
tcf(c_43860,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43795,c_8915]) ).
tcf(c_43865,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(cons(sK57,app(sK56,sK58)),X0)) ),
inference(light_normalisation,[status(thm)],[c_43786,c_41515]) ).
tcf(c_43866,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK58)),X0),sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(cons(sK57,app(sK56,sK58)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43865,c_8915]) ).
tcf(c_43884,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK56,sK58))) = app(X0,app(X1,cons(sK57,app(sK56,sK58)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_228]) ).
tcf(c_43885,plain,
( ( tl(cons(sK6,cons(sK57,app(sK56,sK58)))) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_13977]) ).
tcf(c_43886,plain,
( ( cons(sK57,app(cons(sK57,app(sK56,sK58)),sK58)) = app(cons(sK57,cons(sK57,app(sK56,sK58))),sK58) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_37364]) ).
tcf(c_43887,plain,
( ( hd(cons(sK7,cons(sK57,app(sK56,sK58)))) = sK7 )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_13802]) ).
tcf(c_43888,plain,
( ( hd(cons(sK6,cons(sK57,app(sK56,sK58)))) = sK6 )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_13801]) ).
tcf(c_43889,plain,
( ( cons(sK57,app(cons(sK57,app(sK56,sK58)),sK59)) = app(cons(sK57,cons(sK57,app(sK56,sK58))),sK59) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_37363]) ).
tcf(c_43890,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK56,sK58)))) = app(cons(sK57,X0),cons(sK57,app(sK56,sK58))) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_22147]) ).
tcf(c_43891,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK56,sK58))) = tl(app(sK56,cons(sK57,app(sK56,sK58)))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_21660]) ).
tcf(c_43892,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK56,sK58))) = tl(app(sK58,cons(sK57,app(sK56,sK58)))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_21659]) ).
tcf(c_43893,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK56,sK58))) = tl(app(sK59,cons(sK57,app(sK56,sK58)))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_21658]) ).
tcf(c_43894,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK58)))
| ( app(app(sK42(cons(sK57,app(sK56,sK58))),cons(sK40(cons(sK57,app(sK56,sK58))),sK43(cons(sK57,app(sK56,sK58))))),cons(sK41(cons(sK57,app(sK56,sK58))),sK44(cons(sK57,app(sK56,sK58))))) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_124]) ).
tcf(c_43895,plain,
( strictorderedP(cons(sK57,app(sK56,sK58)))
| ( app(app(sK37(cons(sK57,app(sK56,sK58))),cons(sK35(cons(sK57,app(sK56,sK58))),sK38(cons(sK57,app(sK56,sK58))))),cons(sK36(cons(sK57,app(sK56,sK58))),sK39(cons(sK57,app(sK56,sK58))))) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_116]) ).
tcf(c_43896,plain,
( totalorderedP(cons(sK57,app(sK56,sK58)))
| ( app(app(sK32(cons(sK57,app(sK56,sK58))),cons(sK30(cons(sK57,app(sK56,sK58))),sK33(cons(sK57,app(sK56,sK58))))),cons(sK31(cons(sK57,app(sK56,sK58))),sK34(cons(sK57,app(sK56,sK58))))) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_108]) ).
tcf(c_43897,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK56,sK58)))) = hd(sK56) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_19187]) ).
tcf(c_43898,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK58)) = nil )
| ( app(tl(cons(sK57,app(sK56,sK58))),X0) = tl(app(cons(sK57,app(sK56,sK58)),X0)) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_234]) ).
tcf(c_43899,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK56,sK58)))) = hd(sK58) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_19186]) ).
tcf(c_43900,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK56,sK58)))) = hd(sK59) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_19185]) ).
tcf(c_43901,plain,
( equalelemsP(cons(sK57,app(sK56,sK58)))
| ( app(sK47(cons(sK57,app(sK56,sK58))),cons(sK45(cons(sK57,app(sK56,sK58))),cons(sK46(cons(sK57,app(sK56,sK58))),sK48(cons(sK57,app(sK56,sK58)))))) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_132]) ).
tcf(c_43902,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK58)) = nil )
| ( hd(app(cons(sK57,app(sK56,sK58)),X0)) = hd(cons(sK57,app(sK56,sK58))) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_233]) ).
tcf(c_43903,plain,
( ( cons(sK57,app(sK56,sK58)) = nil )
| ( cons(hd(cons(sK57,app(sK56,sK58))),tl(cons(sK57,app(sK56,sK58)))) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_224]) ).
tcf(c_43904,plain,
( ( cons(sK57,app(sK56,sK58)) = nil )
| ( cons(sK50(cons(sK57,app(sK56,sK58))),sK49(cons(sK57,app(sK56,sK58)))) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_147]) ).
tcf(c_43905,plain,
( ( tl(cons(sK57,cons(sK57,app(sK56,sK58)))) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_13997]) ).
tcf(c_43906,plain,
( ( hd(cons(sK57,cons(sK57,app(sK56,sK58)))) = sK57 )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_13821]) ).
tcf(c_43907,plain,
( ( cons(sK57,app(sK56,sK58)) = nil )
| ( tl(cons(sK57,app(sK56,sK58))) = sK52(cons(sK57,app(sK56,sK58))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_222]) ).
tcf(c_43908,plain,
( ( cons(sK57,app(sK56,sK58)) = nil )
| ( hd(cons(sK57,app(sK56,sK58))) = sK51(cons(sK57,app(sK56,sK58))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_220]) ).
tcf(c_43909,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK58)))
| ( sK40(cons(sK57,app(sK56,sK58))) = sK41(cons(sK57,app(sK56,sK58))) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_123]) ).
tcf(c_43910,plain,
( ( app(cons(sK57,app(sK56,sK58)),nil) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_232]) ).
tcf(c_43911,plain,
( ( app(nil,cons(sK57,app(sK56,sK58))) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_155]) ).
tcf(c_44066,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK58),X0),cons(X0,sK9(cons(sK57,sK58),X0))) = cons(sK57,sK58) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42446,c_57]) ).
tcf(c_44067,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,sK58),X0)) = sK8(cons(sK57,sK58),X0) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42446,c_12510]) ).
tcf(c_44069,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,sK58),X0)) = sK8(cons(sK57,sK58),X0) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44067,c_42438]) ).
tcf(c_44073,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK58),X0),cons(X0,sK9(cons(sK57,sK58),X0))) = cons(sK57,sK58) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44066,c_42438]) ).
tcf(c_44085,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,sK58),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42450,c_183]) ).
tcf(c_44086,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,sK58))
| ~ rearsegP(X0,cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42450,c_184]) ).
tcf(c_44087,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,sK58),X0),X0) = cons(sK57,sK58) )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42450,c_66]) ).
tcf(c_44088,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,sK58),X0),X0) = cons(sK57,sK58) )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44087,c_42438]) ).
tcf(c_44092,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ rearsegP(X0,cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44086,c_42438]) ).
tcf(c_44097,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,sK58),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44085,c_42438]) ).
tcf(c_44169,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK58),X0),cons(X0,sK9(cons(sK57,sK58),X0))) = cons(sK57,sK58) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42454,c_57]) ).
tcf(c_44170,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,sK58),X0)) = sK8(cons(sK57,sK58),X0) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42454,c_12510]) ).
tcf(c_44171,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ( X0 = sK57 )
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_42454,c_170]) ).
tcf(c_44173,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,sK58),X0)) = sK8(cons(sK57,sK58),X0) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44170,c_42438]) ).
tcf(c_44177,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK58),X0),cons(X0,sK9(cons(sK57,sK58),X0))) = cons(sK57,sK58) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44169,c_42438]) ).
tcf(c_44189,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ( cons(sK57,tl(sK58)) = nil )
| ( cons(sK57,tl(sK58)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK58)))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,tl(sK58))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_15717,c_223]) ).
tcf(c_44190,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,tl(sK58))))
| ( nil = sK58 )
| ( cons(sK57,tl(sK58)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,tl(sK58)))
| ~ ssList(cons(sK57,tl(sK58))) ),
inference(superposition,[status(thm)],[c_15717,c_212]) ).
tcf(c_44191,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,tl(sK58))))
| ( nil = sK58 )
| ( cons(sK57,tl(sK58)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,tl(sK58)))
| ~ ssList(cons(sK57,tl(sK58))) ),
inference(superposition,[status(thm)],[c_15717,c_206]) ).
tcf(c_44220,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK7,sK8(X0,X1))) = sK8(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_13978]) ).
tcf(c_44221,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK7,sK9(X0,X1))) = sK9(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_13978]) ).
tcf(c_44222,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK7,app(X0,X1))) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_13978]) ).
tcf(c_44223,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK7,sK11(X0,X1))) = sK11(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_13978]) ).
tcf(c_44224,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK7,sK12(X0,X1))) = sK12(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_13978]) ).
tcf(c_44225,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK7,sK13(X0,X1))) = sK13(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_13978]) ).
tcf(c_44226,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK7,sK14(X0,X1))) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_13978]) ).
tcf(c_44236,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK7,sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_13978]) ).
tcf(c_44237,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK7,sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_13978]) ).
tcf(c_44238,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK7,sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_13978]) ).
tcf(c_44239,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK7,sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_13978]) ).
tcf(c_44240,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK7,sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_13978]) ).
tcf(c_44241,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK7,sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_13978]) ).
tcf(c_44242,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK7,sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_13978]) ).
tcf(c_44243,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK7,sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_13978]) ).
tcf(c_44244,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK7,sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_13978]) ).
tcf(c_44245,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK7,sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_13978]) ).
tcf(c_44246,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK7,sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_13978]) ).
tcf(c_44247,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK7,cons(X0,X1))) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_13978]) ).
tcf(c_44248,plain,
tl(cons(sK7,nil)) = nil,
inference(superposition,[status(thm)],[c_141,c_13978]) ).
tcf(c_44249,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK7,sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_13978]) ).
tcf(c_44250,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK7,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_13978]) ).
tcf(c_44251,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK7,sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_13978]) ).
tcf(c_44252,plain,
tl(cons(sK7,sK59)) = sK59,
inference(superposition,[status(thm)],[c_8916,c_13978]) ).
tcf(c_44253,plain,
tl(cons(sK7,sK58)) = sK58,
inference(superposition,[status(thm)],[c_8915,c_13978]) ).
tcf(c_44254,plain,
tl(cons(sK7,sK56)) = sK56,
inference(superposition,[status(thm)],[c_8907,c_13978]) ).
tcf(c_44255,plain,
tl(cons(sK7,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_12842,c_13978]) ).
tcf(c_44256,plain,
tl(cons(sK7,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_12706,c_13978]) ).
tcf(c_44257,plain,
tl(cons(sK7,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_18245,c_13978]) ).
tcf(c_44258,plain,
tl(cons(sK7,cons(sK57,sK59))) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_38491,c_13978]) ).
tcf(c_44259,plain,
tl(cons(sK7,cons(sK57,sK58))) = cons(sK57,sK58),
inference(superposition,[status(thm)],[c_42438,c_13978]) ).
tcf(c_44260,plain,
( ( nil = sK59 )
| ( tl(cons(sK7,tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_13978]) ).
tcf(c_44261,plain,
( ( nil = sK58 )
| ( tl(cons(sK7,tl(sK58))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_13978]) ).
tcf(c_44262,plain,
( ( nil = sK56 )
| ( tl(cons(sK7,tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_13978]) ).
tcf(c_44263,plain,
tl(cons(sK7,tl(iPr_def_10))) = tl(iPr_def_10),
inference(superposition,[status(thm)],[c_27219,c_13978]) ).
tcf(c_44264,plain,
tl(cons(sK7,tl(iPr_def_12))) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_19014,c_13978]) ).
tcf(c_44265,plain,
tl(cons(sK7,cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_38541,c_13978]) ).
tcf(c_44266,plain,
tl(cons(sK7,cons(sK57,app(sK58,sK59)))) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_42487,c_13978]) ).
tcf(c_44267,plain,
( ( tl(cons(sK7,cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_13978]) ).
tcf(c_44268,plain,
tl(cons(sK7,cons(sK57,app(sK59,sK58)))) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_41763,c_13978]) ).
tcf(c_44269,plain,
tl(cons(sK7,cons(sK57,app(sK58,sK58)))) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_43212,c_13978]) ).
tcf(c_44270,plain,
( ( tl(cons(sK7,cons(sK57,app(sK56,sK58)))) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_13978]) ).
tcf(c_44488,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,sK58),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42458,c_173]) ).
tcf(c_44489,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ ssList(cons(sK57,sK58))
| ~ frontsegP(X0,cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42458,c_174]) ).
tcf(c_44490,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,sK58),X0)) = cons(sK57,sK58) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42458,c_63]) ).
tcf(c_44491,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_42458,c_178]) ).
tcf(c_44492,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK58,X1)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_42458,c_179]) ).
tcf(c_44494,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,sK58),X0)) = cons(sK57,sK58) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44490,c_42438]) ).
tcf(c_44498,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ frontsegP(X0,cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44489,c_42438]) ).
tcf(c_44503,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,sK58),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44488,c_42438]) ).
tcf(c_44509,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK58,X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44492,c_8915,c_8914]) ).
tcf(c_44538,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK58),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK58),sK58))
| ~ ssList(app(app(sK12(cons(sK57,sK58),sK58),sK58),X0)) ),
inference(superposition,[status(thm)],[c_42768,c_67]) ).
tcf(c_44541,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK12(cons(sK57,sK58),sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK58),X0)
| ~ ssList(sK12(cons(sK57,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_42768,c_167]) ).
tcf(c_44544,plain,
( frontsegP(cons(sK57,sK58),sK12(cons(sK57,sK58),sK58))
| ~ ssList(sK58)
| ~ ssList(sK12(cons(sK57,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_42768,c_382]) ).
tcf(c_44547,plain,
! [X0: $i] :
( ( sK12(cons(sK57,sK58),sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK58),sK58))
| ( app(X0,sK58) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_42768,c_225]) ).
tcf(c_44548,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK58),sK58))
| ( app(sK12(cons(sK57,sK58),sK58),X0) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_42768,c_226]) ).
tcf(c_44549,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK58),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK58),sK58))
| ~ frontsegP(sK12(cons(sK57,sK58),sK58),X0) ),
inference(superposition,[status(thm)],[c_42768,c_176]) ).
tcf(c_44550,plain,
! [X0: $i] :
( memberP(cons(sK57,sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,sK58),sK58))
| ~ memberP(sK12(cons(sK57,sK58),sK58),X0) ),
inference(superposition,[status(thm)],[c_42768,c_165]) ).
tcf(c_44551,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK58),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(sK12(cons(sK57,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_42768,c_193]) ).
tcf(c_44552,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK58),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(sK12(cons(sK57,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_42768,c_186]) ).
tcf(c_44553,plain,
! [X0: $i] :
( memberP(cons(sK57,sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK12(cons(sK57,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_42768,c_166]) ).
tcf(c_44555,plain,
( frontsegP(cons(sK57,sK58),sK12(cons(sK57,sK58),sK58))
| ~ ssList(sK12(cons(sK57,sK58),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44544,c_8915]) ).
tcf(c_44560,plain,
! [X0: $i] :
( memberP(cons(sK57,sK58),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,sK58),sK58))
| ~ memberP(sK12(cons(sK57,sK58),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44550,c_8915]) ).
tcf(c_44565,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK58),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK58),sK58))
| ~ frontsegP(sK12(cons(sK57,sK58),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44549,c_8915]) ).
tcf(c_44571,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK12(cons(sK57,sK58),sK58),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK58),X0)
| ~ ssList(sK12(cons(sK57,sK58),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44541,c_8915]) ).
tcf(c_44577,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK58),sK58))
| ( app(sK12(cons(sK57,sK58),sK58),X0) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44548,c_8915]) ).
tcf(c_44582,plain,
! [X0: $i] :
( ( sK12(cons(sK57,sK58),sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK58),sK58))
| ( app(X0,sK58) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44547,c_8915]) ).
tcf(c_44587,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK58),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK58),sK58))
| ~ ssList(app(cons(sK57,sK58),X0)) ),
inference(light_normalisation,[status(thm)],[c_44538,c_42768]) ).
tcf(c_44588,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK58),X0),sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK58),sK58))
| ~ ssList(app(cons(sK57,sK58),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44587,c_8915]) ).
tcf(c_44598,plain,
~ rearsegP(sK58,cons(sK57,sK58)),
inference(global_subsumption_just,[status(thm)],[c_42769,c_42441,c_42769]) ).
tcf(c_44604,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_43806,c_183]) ).
tcf(c_44605,plain,
( ( cons(sK57,app(sK56,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK58)))
| ~ rearsegP(sK58,cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_43806,c_184]) ).
tcf(c_44606,plain,
( ( app(sK12(cons(sK57,app(sK56,sK58)),sK58),sK58) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_43806,c_66]) ).
tcf(c_44608,plain,
( ( app(sK12(cons(sK57,app(sK56,sK58)),sK58),sK58) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44606,c_8915]) ).
tcf(c_44612,plain,
( ( cons(sK57,app(sK56,sK58)) = sK58 )
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK58)))
| ~ rearsegP(sK58,cons(sK57,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44605,c_8915]) ).
tcf(c_44635,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK59,sK58)),X0),cons(X0,sK9(cons(sK57,app(sK59,sK58)),X0))) = cons(sK57,app(sK59,sK58)) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_41770,c_57]) ).
tcf(c_44636,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK59,sK58)),X0)) = sK8(cons(sK57,app(sK59,sK58)),X0) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_41770,c_12510]) ).
tcf(c_44637,plain,
! [X0: $i] :
( memberP(app(sK59,sK58),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_41770,c_170]) ).
tcf(c_44638,plain,
! [X0: $i] :
( memberP(app(sK59,sK58),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44637,c_8914]) ).
tcf(c_44644,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK59,sK58)),X0)) = sK8(cons(sK57,app(sK59,sK58)),X0) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44636,c_41763]) ).
tcf(c_44648,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK59,sK58)),X0),cons(X0,sK9(cons(sK57,app(sK59,sK58)),X0))) = cons(sK57,app(sK59,sK58)) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44635,c_41763]) ).
tcf(c_44661,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK59,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_41774,c_183]) ).
tcf(c_44662,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK58)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,app(sK59,sK58)))
| ~ rearsegP(X0,cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_41774,c_184]) ).
tcf(c_44663,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK59,sK58)),X0),X0) = cons(sK57,app(sK59,sK58)) )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_41774,c_66]) ).
tcf(c_44664,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK59,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44661,c_41763]) ).
tcf(c_44670,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK59,sK58)),X0),X0) = cons(sK57,app(sK59,sK58)) )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44663,c_41763]) ).
tcf(c_44674,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK58)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ rearsegP(X0,cons(sK57,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44662,c_41763]) ).
tcf(c_44708,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK58,sK58)),X0),cons(X0,sK9(cons(sK57,app(sK58,sK58)),X0))) = cons(sK57,app(sK58,sK58)) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_43219,c_57]) ).
tcf(c_44709,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK58,sK58)),X0)) = sK8(cons(sK57,app(sK58,sK58)),X0) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_43219,c_12510]) ).
tcf(c_44710,plain,
! [X0: $i] :
( memberP(app(sK58,sK58),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_43219,c_170]) ).
tcf(c_44711,plain,
! [X0: $i] :
( memberP(app(sK58,sK58),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44710,c_8914]) ).
tcf(c_44717,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK58,sK58)),X0)) = sK8(cons(sK57,app(sK58,sK58)),X0) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44709,c_43212]) ).
tcf(c_44721,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK58,sK58)),X0),cons(X0,sK9(cons(sK57,app(sK58,sK58)),X0))) = cons(sK57,app(sK58,sK58)) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44708,c_43212]) ).
tcf(c_44734,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK58,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_43223,c_183]) ).
tcf(c_44735,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK58)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,app(sK58,sK58)))
| ~ rearsegP(X0,cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_43223,c_184]) ).
tcf(c_44736,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK58,sK58)),X0),X0) = cons(sK57,app(sK58,sK58)) )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_43223,c_66]) ).
tcf(c_44737,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK58,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44734,c_43212]) ).
tcf(c_44743,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK58,sK58)),X0),X0) = cons(sK57,app(sK58,sK58)) )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44736,c_43212]) ).
tcf(c_44747,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK58)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ rearsegP(X0,cons(sK57,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44735,c_43212]) ).
tcf(c_44804,plain,
( ssList(tl(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(tl(sK58)) ),
inference(superposition,[status(thm)],[c_15718,c_221]) ).
tcf(c_44870,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,tl(iPr_def_10)) = nil )
| ( cons(sK6,tl(iPr_def_10)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,tl(iPr_def_10)))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,tl(iPr_def_10))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_39595,c_223]) ).
tcf(c_44871,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,tl(iPr_def_10))))
| ( cons(sK6,tl(iPr_def_10)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,tl(iPr_def_10)))
| ~ ssList(cons(sK6,tl(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_39595,c_212]) ).
tcf(c_44872,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,tl(iPr_def_10))))
| ( cons(sK6,tl(iPr_def_10)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,tl(iPr_def_10)))
| ~ ssList(cons(sK6,tl(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_39595,c_206]) ).
tcf(c_44885,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,tl(iPr_def_10)) = nil )
| ( cons(sK6,tl(iPr_def_10)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,tl(iPr_def_10)))
| ( tl(X0) != tl(iPr_def_10) )
| ( hd(X0) != sK6 ) ),
inference(light_normalisation,[status(thm)],[c_44870,c_43505]) ).
tcf(c_44901,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK58,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_43441,c_183]) ).
tcf(c_44902,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK59)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,app(sK58,sK59)))
| ~ rearsegP(X0,cons(sK57,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_43441,c_184]) ).
tcf(c_44903,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK58,sK59)),X0),X0) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_43441,c_66]) ).
tcf(c_44904,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK58,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44901,c_42487]) ).
tcf(c_44910,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK58,sK59)),X0),X0) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44903,c_42487]) ).
tcf(c_44914,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK59)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,cons(sK57,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44902,c_42487]) ).
tcf(c_44927,plain,
( ( cons(sK57,app(sK56,sK58)) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK58)))
| ~ frontsegP(cons(sK57,sK56),cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_43809,c_174]) ).
tcf(c_44928,plain,
( ( app(cons(sK57,sK56),sK11(cons(sK57,app(sK56,sK58)),cons(sK57,sK56))) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_43809,c_63]) ).
tcf(c_44930,plain,
( frontsegP(app(sK56,sK58),sK56)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(app(sK56,sK58))
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43809,c_179]) ).
tcf(c_44931,plain,
( frontsegP(app(sK56,sK58),sK56)
| ~ ssList(app(sK56,sK58))
| ~ ssList(cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44930,c_8907,c_8914]) ).
tcf(c_44974,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK8(X0,X1),sK56)) = app(cons(sK57,sK8(X0,X1)),sK56) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_37365]) ).
tcf(c_44975,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK9(X0,X1),sK56)) = app(cons(sK57,sK9(X0,X1)),sK56) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_37365]) ).
tcf(c_44976,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(app(X0,X1),sK56)) = app(cons(sK57,app(X0,X1)),sK56) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_37365]) ).
tcf(c_44977,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK11(X0,X1),sK56)) = app(cons(sK57,sK11(X0,X1)),sK56) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_37365]) ).
tcf(c_44978,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK12(X0,X1),sK56)) = app(cons(sK57,sK12(X0,X1)),sK56) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_37365]) ).
tcf(c_44979,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK13(X0,X1),sK56)) = app(cons(sK57,sK13(X0,X1)),sK56) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_37365]) ).
tcf(c_44980,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(sK14(X0,X1),sK56)) = app(cons(sK57,sK14(X0,X1)),sK56) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_37365]) ).
tcf(c_44990,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,app(sK34(X0),sK56)) = app(cons(sK57,sK34(X0)),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_37365]) ).
tcf(c_44991,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,app(sK33(X0),sK56)) = app(cons(sK57,sK33(X0)),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_37365]) ).
tcf(c_44992,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,app(sK32(X0),sK56)) = app(cons(sK57,sK32(X0)),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_37365]) ).
tcf(c_44993,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,app(sK39(X0),sK56)) = app(cons(sK57,sK39(X0)),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_37365]) ).
tcf(c_44994,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,app(sK38(X0),sK56)) = app(cons(sK57,sK38(X0)),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_37365]) ).
tcf(c_44995,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,app(sK37(X0),sK56)) = app(cons(sK57,sK37(X0)),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_37365]) ).
tcf(c_44996,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,app(sK44(X0),sK56)) = app(cons(sK57,sK44(X0)),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_37365]) ).
tcf(c_44997,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,app(sK43(X0),sK56)) = app(cons(sK57,sK43(X0)),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_37365]) ).
tcf(c_44998,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,app(sK42(X0),sK56)) = app(cons(sK57,sK42(X0)),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_37365]) ).
tcf(c_44999,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( cons(sK57,app(sK48(X0),sK56)) = app(cons(sK57,sK48(X0)),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_37365]) ).
tcf(c_45000,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( cons(sK57,app(sK47(X0),sK56)) = app(cons(sK57,sK47(X0)),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_37365]) ).
tcf(c_45001,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(cons(X0,X1),sK56)) = app(cons(sK57,cons(X0,X1)),sK56) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_37365]) ).
tcf(c_45002,plain,
cons(sK57,app(nil,sK56)) = app(cons(sK57,nil),sK56),
inference(superposition,[status(thm)],[c_141,c_37365]) ).
tcf(c_45003,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,app(sK49(X0),sK56)) = app(cons(sK57,sK49(X0)),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_37365]) ).
tcf(c_45004,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,app(tl(X0),sK56)) = app(cons(sK57,tl(X0)),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_37365]) ).
tcf(c_45005,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,app(sK52(X0),sK56)) = app(cons(sK57,sK52(X0)),sK56) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_37365]) ).
tcf(c_45006,plain,
cons(sK57,app(sK59,sK56)) = app(cons(sK57,sK59),sK56),
inference(superposition,[status(thm)],[c_8916,c_37365]) ).
tcf(c_45007,plain,
cons(sK57,app(sK58,sK56)) = app(cons(sK57,sK58),sK56),
inference(superposition,[status(thm)],[c_8915,c_37365]) ).
tcf(c_45008,plain,
cons(sK57,app(sK56,sK56)) = app(cons(sK57,sK56),sK56),
inference(superposition,[status(thm)],[c_8907,c_37365]) ).
tcf(c_45009,plain,
cons(sK57,app(iPr_def_12,sK56)) = app(cons(sK57,iPr_def_12),sK56),
inference(superposition,[status(thm)],[c_12842,c_37365]) ).
tcf(c_45010,plain,
cons(sK57,app(iPr_def_11,sK56)) = app(cons(sK57,iPr_def_11),sK56),
inference(superposition,[status(thm)],[c_12706,c_37365]) ).
tcf(c_45011,plain,
cons(sK57,app(iPr_def_10,sK56)) = app(cons(sK57,iPr_def_10),sK56),
inference(superposition,[status(thm)],[c_18245,c_37365]) ).
tcf(c_45012,plain,
cons(sK57,app(cons(sK57,sK59),sK56)) = app(cons(sK57,cons(sK57,sK59)),sK56),
inference(superposition,[status(thm)],[c_38491,c_37365]) ).
tcf(c_45013,plain,
cons(sK57,app(cons(sK57,sK58),sK56)) = app(cons(sK57,cons(sK57,sK58)),sK56),
inference(superposition,[status(thm)],[c_42438,c_37365]) ).
tcf(c_45014,plain,
( ( nil = sK59 )
| ( cons(sK57,app(tl(sK59),sK56)) = app(cons(sK57,tl(sK59)),sK56) ) ),
inference(superposition,[status(thm)],[c_15329,c_37365]) ).
tcf(c_45015,plain,
( ( nil = sK58 )
| ( cons(sK57,app(tl(sK58),sK56)) = app(cons(sK57,tl(sK58)),sK56) ) ),
inference(superposition,[status(thm)],[c_15365,c_37365]) ).
tcf(c_45016,plain,
( ( nil = sK56 )
| ( cons(sK57,app(tl(sK56),sK56)) = app(cons(sK57,tl(sK56)),sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_37365]) ).
tcf(c_45017,plain,
cons(sK57,app(tl(iPr_def_10),sK56)) = app(cons(sK57,tl(iPr_def_10)),sK56),
inference(superposition,[status(thm)],[c_27219,c_37365]) ).
tcf(c_45018,plain,
cons(sK57,app(tl(iPr_def_12),sK56)) = app(cons(sK57,tl(iPr_def_12)),sK56),
inference(superposition,[status(thm)],[c_19014,c_37365]) ).
tcf(c_45019,plain,
cons(sK57,app(cons(sK57,app(sK59,sK59)),sK56)) = app(cons(sK57,cons(sK57,app(sK59,sK59))),sK56),
inference(superposition,[status(thm)],[c_38541,c_37365]) ).
tcf(c_45020,plain,
cons(sK57,app(cons(sK57,app(sK58,sK59)),sK56)) = app(cons(sK57,cons(sK57,app(sK58,sK59))),sK56),
inference(superposition,[status(thm)],[c_42487,c_37365]) ).
tcf(c_45021,plain,
( ( cons(sK57,app(cons(sK57,app(sK56,sK59)),sK56)) = app(cons(sK57,cons(sK57,app(sK56,sK59))),sK56) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_39109,c_37365]) ).
tcf(c_45022,plain,
cons(sK57,app(cons(sK57,app(sK59,sK58)),sK56)) = app(cons(sK57,cons(sK57,app(sK59,sK58))),sK56),
inference(superposition,[status(thm)],[c_41763,c_37365]) ).
tcf(c_45023,plain,
cons(sK57,app(cons(sK57,app(sK58,sK58)),sK56)) = app(cons(sK57,cons(sK57,app(sK58,sK58))),sK56),
inference(superposition,[status(thm)],[c_43212,c_37365]) ).
tcf(c_45024,plain,
( ( cons(sK57,app(cons(sK57,app(sK56,sK58)),sK56)) = app(cons(sK57,cons(sK57,app(sK56,sK58))),sK56) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_43803,c_37365]) ).
tcf(c_45025,plain,
cons(sK57,sK56) = app(iPr_def_11,sK56),
inference(light_normalisation,[status(thm)],[c_45002,c_12534,c_34910]) ).
tcf(c_45352,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(app(cons(sK57,sK59),sK56),X0)) ),
inference(superposition,[status(thm)],[c_45006,c_67]) ).
tcf(c_45355,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(cons(sK57,sK59),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK59))
| ~ memberP(cons(sK57,app(sK59,sK56)),X0) ),
inference(superposition,[status(thm)],[c_45006,c_167]) ).
tcf(c_45356,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_45006,c_231]) ).
tcf(c_45357,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_45006,c_230]) ).
tcf(c_45358,plain,
( frontsegP(cons(sK57,app(sK59,sK56)),cons(sK57,sK59))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_45006,c_382]) ).
tcf(c_45359,plain,
( rearsegP(cons(sK57,app(sK59,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_45006,c_379]) ).
tcf(c_45360,plain,
( ssList(cons(sK57,app(sK59,sK56)))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_45006,c_153]) ).
tcf(c_45361,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != app(X0,sK56) ) ),
inference(superposition,[status(thm)],[c_45006,c_225]) ).
tcf(c_45362,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(cons(sK57,sK59),X0) != cons(sK57,app(sK59,sK56)) ) ),
inference(superposition,[status(thm)],[c_45006,c_226]) ).
tcf(c_45363,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_45006,c_176]) ).
tcf(c_45364,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK59))
| ~ memberP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_45006,c_165]) ).
tcf(c_45365,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK56)),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_45006,c_193]) ).
tcf(c_45366,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_45006,c_186]) ).
tcf(c_45367,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_45006,c_166]) ).
tcf(c_45368,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_45006,c_25203]) ).
tcf(c_45369,plain,
ssList(cons(sK57,app(sK59,sK56))),
inference(forward_subsumption_resolution,[status(thm)],[c_45360,c_8907,c_38491]) ).
tcf(c_45370,plain,
rearsegP(cons(sK57,app(sK59,sK56)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_45359,c_8907,c_38491]) ).
tcf(c_45371,plain,
frontsegP(cons(sK57,app(sK59,sK56)),cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_45358,c_8907,c_38491]) ).
tcf(c_45372,plain,
cons(sK57,app(sK59,sK56)) != sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_45368,c_38501,c_38491]) ).
tcf(c_45376,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45367,c_8907,c_38491]) ).
tcf(c_45380,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45366,c_8907,c_38491]) ).
tcf(c_45384,plain,
cons(sK57,app(sK59,sK56)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_45356,c_38501,c_8907,c_38491]) ).
tcf(c_45385,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45364,c_8907,c_38491]) ).
tcf(c_45389,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45363,c_8907,c_38491]) ).
tcf(c_45393,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45365,c_8907,c_38491]) ).
tcf(c_45398,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(cons(sK57,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK59,sK56)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45355,c_8907,c_38491]) ).
tcf(c_45403,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(cons(sK57,sK59),X0) != cons(sK57,app(sK59,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45362,c_8907,c_38491]) ).
tcf(c_45407,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ( cons(sK57,app(sK59,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45361,c_8907,c_38491]) ).
tcf(c_45411,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(cons(sK57,app(sK59,sK56)),X0)) ),
inference(light_normalisation,[status(thm)],[c_45352,c_45006]) ).
tcf(c_45412,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,app(sK59,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45411,c_8907,c_38491]) ).
tcf(c_45534,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK59,sK56))) = app(X0,app(X1,cons(sK57,app(sK59,sK56)))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45369,c_228]) ).
tcf(c_45535,plain,
cons(sK57,app(cons(sK57,app(sK59,sK56)),sK56)) = app(cons(sK57,cons(sK57,app(sK59,sK56))),sK56),
inference(superposition,[status(thm)],[c_45369,c_37365]) ).
tcf(c_45536,plain,
tl(cons(sK7,cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_45369,c_13978]) ).
tcf(c_45537,plain,
tl(cons(sK6,cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_45369,c_13977]) ).
tcf(c_45538,plain,
cons(sK57,app(cons(sK57,app(sK59,sK56)),sK58)) = app(cons(sK57,cons(sK57,app(sK59,sK56))),sK58),
inference(superposition,[status(thm)],[c_45369,c_37364]) ).
tcf(c_45539,plain,
hd(cons(sK7,cons(sK57,app(sK59,sK56)))) = sK7,
inference(superposition,[status(thm)],[c_45369,c_13802]) ).
tcf(c_45540,plain,
hd(cons(sK6,cons(sK57,app(sK59,sK56)))) = sK6,
inference(superposition,[status(thm)],[c_45369,c_13801]) ).
tcf(c_45541,plain,
cons(sK57,app(cons(sK57,app(sK59,sK56)),sK59)) = app(cons(sK57,cons(sK57,app(sK59,sK56))),sK59),
inference(superposition,[status(thm)],[c_45369,c_37363]) ).
tcf(c_45542,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK59,sK56)))) = app(cons(sK57,X0),cons(sK57,app(sK59,sK56))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45369,c_22147]) ).
tcf(c_45543,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK59,sK56))) = tl(app(sK56,cons(sK57,app(sK59,sK56)))) ) ),
inference(superposition,[status(thm)],[c_45369,c_21660]) ).
tcf(c_45544,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK59,sK56))) = tl(app(sK58,cons(sK57,app(sK59,sK56)))) ) ),
inference(superposition,[status(thm)],[c_45369,c_21659]) ).
tcf(c_45545,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK59,sK56))) = tl(app(sK59,cons(sK57,app(sK59,sK56)))) ) ),
inference(superposition,[status(thm)],[c_45369,c_21658]) ).
tcf(c_45546,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK56)))
| ( app(app(sK42(cons(sK57,app(sK59,sK56))),cons(sK40(cons(sK57,app(sK59,sK56))),sK43(cons(sK57,app(sK59,sK56))))),cons(sK41(cons(sK57,app(sK59,sK56))),sK44(cons(sK57,app(sK59,sK56))))) = cons(sK57,app(sK59,sK56)) ) ),
inference(superposition,[status(thm)],[c_45369,c_124]) ).
tcf(c_45547,plain,
( strictorderedP(cons(sK57,app(sK59,sK56)))
| ( app(app(sK37(cons(sK57,app(sK59,sK56))),cons(sK35(cons(sK57,app(sK59,sK56))),sK38(cons(sK57,app(sK59,sK56))))),cons(sK36(cons(sK57,app(sK59,sK56))),sK39(cons(sK57,app(sK59,sK56))))) = cons(sK57,app(sK59,sK56)) ) ),
inference(superposition,[status(thm)],[c_45369,c_116]) ).
tcf(c_45548,plain,
( totalorderedP(cons(sK57,app(sK59,sK56)))
| ( app(app(sK32(cons(sK57,app(sK59,sK56))),cons(sK30(cons(sK57,app(sK59,sK56))),sK33(cons(sK57,app(sK59,sK56))))),cons(sK31(cons(sK57,app(sK59,sK56))),sK34(cons(sK57,app(sK59,sK56))))) = cons(sK57,app(sK59,sK56)) ) ),
inference(superposition,[status(thm)],[c_45369,c_108]) ).
tcf(c_45549,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK59,sK56)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_45369,c_19187]) ).
tcf(c_45550,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK56)) = nil )
| ( app(tl(cons(sK57,app(sK59,sK56))),X0) = tl(app(cons(sK57,app(sK59,sK56)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45369,c_234]) ).
tcf(c_45551,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK59,sK56)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_45369,c_19186]) ).
tcf(c_45552,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK59,sK56)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_45369,c_19185]) ).
tcf(c_45553,plain,
( equalelemsP(cons(sK57,app(sK59,sK56)))
| ( app(sK47(cons(sK57,app(sK59,sK56))),cons(sK45(cons(sK57,app(sK59,sK56))),cons(sK46(cons(sK57,app(sK59,sK56))),sK48(cons(sK57,app(sK59,sK56)))))) = cons(sK57,app(sK59,sK56)) ) ),
inference(superposition,[status(thm)],[c_45369,c_132]) ).
tcf(c_45554,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK56)) = nil )
| ( hd(app(cons(sK57,app(sK59,sK56)),X0)) = hd(cons(sK57,app(sK59,sK56))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45369,c_233]) ).
tcf(c_45555,plain,
( ( cons(sK57,app(sK59,sK56)) = nil )
| ( cons(hd(cons(sK57,app(sK59,sK56))),tl(cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)) ) ),
inference(superposition,[status(thm)],[c_45369,c_224]) ).
tcf(c_45556,plain,
( ( cons(sK57,app(sK59,sK56)) = nil )
| ( cons(sK50(cons(sK57,app(sK59,sK56))),sK49(cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)) ) ),
inference(superposition,[status(thm)],[c_45369,c_147]) ).
tcf(c_45557,plain,
tl(cons(sK57,cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_45369,c_13997]) ).
tcf(c_45558,plain,
hd(cons(sK57,cons(sK57,app(sK59,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_45369,c_13821]) ).
tcf(c_45559,plain,
( ( cons(sK57,app(sK59,sK56)) = nil )
| ( tl(cons(sK57,app(sK59,sK56))) = sK52(cons(sK57,app(sK59,sK56))) ) ),
inference(superposition,[status(thm)],[c_45369,c_222]) ).
tcf(c_45560,plain,
( ( cons(sK57,app(sK59,sK56)) = nil )
| ( hd(cons(sK57,app(sK59,sK56))) = sK51(cons(sK57,app(sK59,sK56))) ) ),
inference(superposition,[status(thm)],[c_45369,c_220]) ).
tcf(c_45561,plain,
( duplicatefreeP(cons(sK57,app(sK59,sK56)))
| ( sK40(cons(sK57,app(sK59,sK56))) = sK41(cons(sK57,app(sK59,sK56))) ) ),
inference(superposition,[status(thm)],[c_45369,c_123]) ).
tcf(c_45562,plain,
app(cons(sK57,app(sK59,sK56)),nil) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_45369,c_232]) ).
tcf(c_45563,plain,
app(nil,cons(sK57,app(sK59,sK56))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_45369,c_155]) ).
tcf(c_45647,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_45370,c_183]) ).
tcf(c_45648,plain,
( ( cons(sK57,app(sK59,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK59,sK56)))
| ~ rearsegP(sK56,cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_45370,c_184]) ).
tcf(c_45649,plain,
( ( app(sK12(cons(sK57,app(sK59,sK56)),sK56),sK56) = cons(sK57,app(sK59,sK56)) )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_45370,c_66]) ).
tcf(c_45651,plain,
app(sK12(cons(sK57,app(sK59,sK56)),sK56),sK56) = cons(sK57,app(sK59,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_45649,c_8907,c_45369]) ).
tcf(c_45652,plain,
( ( cons(sK57,app(sK59,sK56)) = sK56 )
| ~ rearsegP(sK56,cons(sK57,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45648,c_8907,c_45369]) ).
tcf(c_45655,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_45371,c_173]) ).
tcf(c_45656,plain,
( ( cons(sK57,app(sK59,sK56)) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59))
| ~ ssList(cons(sK57,app(sK59,sK56)))
| ~ frontsegP(cons(sK57,sK59),cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_45371,c_174]) ).
tcf(c_45657,plain,
( ( app(cons(sK57,sK59),sK11(cons(sK57,app(sK59,sK56)),cons(sK57,sK59))) = cons(sK57,app(sK59,sK56)) )
| ~ ssList(cons(sK57,sK59))
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_45371,c_63]) ).
tcf(c_45659,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_45371,c_179]) ).
tcf(c_45660,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45659,c_8916,c_8914]) ).
tcf(c_45664,plain,
app(cons(sK57,sK59),sK11(cons(sK57,app(sK59,sK56)),cons(sK57,sK59))) = cons(sK57,app(sK59,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_45657,c_38491,c_45369]) ).
tcf(c_45665,plain,
( ( cons(sK57,app(sK59,sK56)) = cons(sK57,sK59) )
| ~ frontsegP(cons(sK57,sK59),cons(sK57,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45656,c_38491,c_45369]) ).
tcf(c_45699,plain,
( ssItem(hd(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(tl(sK58)) ),
inference(superposition,[status(thm)],[c_15719,c_219]) ).
tcf(c_45704,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),sK56)
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_11,sK56),X0)) ),
inference(superposition,[status(thm)],[c_45025,c_67]) ).
tcf(c_45707,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK56,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0) ),
inference(superposition,[status(thm)],[c_45025,c_167]) ).
tcf(c_45708,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ( cons(sK57,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_45025,c_231]) ).
tcf(c_45709,plain,
( ( nil = sK56 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ( cons(sK57,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_45025,c_230]) ).
tcf(c_45710,plain,
( frontsegP(cons(sK57,sK56),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_45025,c_382]) ).
tcf(c_45711,plain,
( rearsegP(cons(sK57,sK56),sK56)
| ~ ssList(iPr_def_11)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_45025,c_379]) ).
tcf(c_45712,plain,
( ssList(cons(sK57,sK56))
| ~ ssList(iPr_def_11)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_45025,c_153]) ).
tcf(c_45713,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ~ ssList(X0)
| ( app(X0,sK56) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45025,c_225]) ).
tcf(c_45714,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45025,c_226]) ).
tcf(c_45715,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_45025,c_176]) ).
tcf(c_45716,plain,
! [X0: $i] :
( memberP(cons(sK57,sK56),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_45025,c_165]) ).
tcf(c_45717,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK56),X1),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_45025,c_193]) ).
tcf(c_45718,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(superposition,[status(thm)],[c_45025,c_186]) ).
tcf(c_45719,plain,
! [X0: $i] :
( memberP(cons(sK57,sK56),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(superposition,[status(thm)],[c_45025,c_166]) ).
tcf(c_45720,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_45025,c_25203]) ).
tcf(c_45721,plain,
ssList(cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_45712,c_12706,c_8907]) ).
tcf(c_45722,plain,
rearsegP(cons(sK57,sK56),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_45711,c_12706,c_8907]) ).
tcf(c_45723,plain,
frontsegP(cons(sK57,sK56),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_45710,c_12706,c_8907]) ).
tcf(c_45724,plain,
cons(sK57,sK56) != sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_45720,c_13775,c_12706]) ).
tcf(c_45728,plain,
cons(sK57,sK56) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_45708,c_13775,c_12706,c_8907]) ).
tcf(c_45729,plain,
! [X0: $i] :
( memberP(cons(sK57,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45719,c_12706,c_8907]) ).
tcf(c_45733,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45718,c_12706,c_8907]) ).
tcf(c_45737,plain,
! [X0: $i] :
( memberP(cons(sK57,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45716,c_12706,c_8907]) ).
tcf(c_45741,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45715,c_12706,c_8907]) ).
tcf(c_45745,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK56,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45707,c_12706,c_8907]) ).
tcf(c_45750,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45714,c_12706,c_8907]) ).
tcf(c_45754,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,sK56) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45713,c_12706,c_8907]) ).
tcf(c_45758,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK56),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45717,c_12706,c_8907]) ).
tcf(c_45763,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),sK56)
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(light_normalisation,[status(thm)],[c_45704,c_45025]) ).
tcf(c_45764,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45763,c_12706,c_8907]) ).
tcf(c_45768,plain,
frontsegP(cons(sK57,app(sK56,sK58)),cons(sK57,sK56)),
inference(backward_subsumption_resolution,[status(thm)],[c_43809,c_45721]) ).
tcf(c_45769,plain,
rearsegP(cons(sK57,app(sK56,sK58)),sK58),
inference(backward_subsumption_resolution,[status(thm)],[c_43806,c_45721]) ).
tcf(c_45770,plain,
ssList(cons(sK57,app(sK56,sK58))),
inference(backward_subsumption_resolution,[status(thm)],[c_43803,c_45721]) ).
tcf(c_45771,plain,
frontsegP(cons(sK57,app(sK56,sK59)),cons(sK57,sK56)),
inference(backward_subsumption_resolution,[status(thm)],[c_39115,c_45721]) ).
tcf(c_45772,plain,
rearsegP(cons(sK57,app(sK56,sK59)),sK59),
inference(backward_subsumption_resolution,[status(thm)],[c_39112,c_45721]) ).
tcf(c_45773,plain,
ssList(cons(sK57,app(sK56,sK59))),
inference(backward_subsumption_resolution,[status(thm)],[c_39109,c_45721]) ).
tcf(c_45797,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,sK56)) = app(X0,app(X1,cons(sK57,sK56))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45721,c_228]) ).
tcf(c_45798,plain,
cons(sK57,app(cons(sK57,sK56),sK56)) = app(cons(sK57,cons(sK57,sK56)),sK56),
inference(superposition,[status(thm)],[c_45721,c_37365]) ).
tcf(c_45799,plain,
tl(cons(sK7,cons(sK57,sK56))) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_45721,c_13978]) ).
tcf(c_45800,plain,
tl(cons(sK6,cons(sK57,sK56))) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_45721,c_13977]) ).
tcf(c_45801,plain,
cons(sK57,app(cons(sK57,sK56),sK58)) = app(cons(sK57,cons(sK57,sK56)),sK58),
inference(superposition,[status(thm)],[c_45721,c_37364]) ).
tcf(c_45802,plain,
hd(cons(sK7,cons(sK57,sK56))) = sK7,
inference(superposition,[status(thm)],[c_45721,c_13802]) ).
tcf(c_45803,plain,
hd(cons(sK6,cons(sK57,sK56))) = sK6,
inference(superposition,[status(thm)],[c_45721,c_13801]) ).
tcf(c_45804,plain,
cons(sK57,app(cons(sK57,sK56),sK59)) = app(cons(sK57,cons(sK57,sK56)),sK59),
inference(superposition,[status(thm)],[c_45721,c_37363]) ).
tcf(c_45805,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,sK56))) = app(cons(sK57,X0),cons(sK57,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45721,c_22147]) ).
tcf(c_45806,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,sK56)) = tl(app(sK56,cons(sK57,sK56))) ) ),
inference(superposition,[status(thm)],[c_45721,c_21660]) ).
tcf(c_45807,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,sK56)) = tl(app(sK58,cons(sK57,sK56))) ) ),
inference(superposition,[status(thm)],[c_45721,c_21659]) ).
tcf(c_45808,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,sK56)) = tl(app(sK59,cons(sK57,sK56))) ) ),
inference(superposition,[status(thm)],[c_45721,c_21658]) ).
tcf(c_45809,plain,
( duplicatefreeP(cons(sK57,sK56))
| ( app(app(sK42(cons(sK57,sK56)),cons(sK40(cons(sK57,sK56)),sK43(cons(sK57,sK56)))),cons(sK41(cons(sK57,sK56)),sK44(cons(sK57,sK56)))) = cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45721,c_124]) ).
tcf(c_45810,plain,
( strictorderedP(cons(sK57,sK56))
| ( app(app(sK37(cons(sK57,sK56)),cons(sK35(cons(sK57,sK56)),sK38(cons(sK57,sK56)))),cons(sK36(cons(sK57,sK56)),sK39(cons(sK57,sK56)))) = cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45721,c_116]) ).
tcf(c_45811,plain,
( totalorderedP(cons(sK57,sK56))
| ( app(app(sK32(cons(sK57,sK56)),cons(sK30(cons(sK57,sK56)),sK33(cons(sK57,sK56)))),cons(sK31(cons(sK57,sK56)),sK34(cons(sK57,sK56)))) = cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45721,c_108]) ).
tcf(c_45812,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,sK56))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_45721,c_19187]) ).
tcf(c_45813,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = nil )
| ( app(tl(cons(sK57,sK56)),X0) = tl(app(cons(sK57,sK56),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45721,c_234]) ).
tcf(c_45814,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,sK56))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_45721,c_19186]) ).
tcf(c_45815,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,sK56))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_45721,c_19185]) ).
tcf(c_45816,plain,
( equalelemsP(cons(sK57,sK56))
| ( app(sK47(cons(sK57,sK56)),cons(sK45(cons(sK57,sK56)),cons(sK46(cons(sK57,sK56)),sK48(cons(sK57,sK56))))) = cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45721,c_132]) ).
tcf(c_45817,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = nil )
| ( hd(app(cons(sK57,sK56),X0)) = hd(cons(sK57,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45721,c_233]) ).
tcf(c_45818,plain,
( ( cons(sK57,sK56) = nil )
| ( cons(hd(cons(sK57,sK56)),tl(cons(sK57,sK56))) = cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45721,c_224]) ).
tcf(c_45819,plain,
( ( cons(sK57,sK56) = nil )
| ( cons(sK50(cons(sK57,sK56)),sK49(cons(sK57,sK56))) = cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45721,c_147]) ).
tcf(c_45820,plain,
tl(cons(sK57,cons(sK57,sK56))) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_45721,c_13997]) ).
tcf(c_45821,plain,
hd(cons(sK57,cons(sK57,sK56))) = sK57,
inference(superposition,[status(thm)],[c_45721,c_13821]) ).
tcf(c_45822,plain,
( ( cons(sK57,sK56) = nil )
| ( tl(cons(sK57,sK56)) = sK52(cons(sK57,sK56)) ) ),
inference(superposition,[status(thm)],[c_45721,c_222]) ).
tcf(c_45823,plain,
( ( cons(sK57,sK56) = nil )
| ( hd(cons(sK57,sK56)) = sK51(cons(sK57,sK56)) ) ),
inference(superposition,[status(thm)],[c_45721,c_220]) ).
tcf(c_45824,plain,
( duplicatefreeP(cons(sK57,sK56))
| ( sK40(cons(sK57,sK56)) = sK41(cons(sK57,sK56)) ) ),
inference(superposition,[status(thm)],[c_45721,c_123]) ).
tcf(c_45825,plain,
app(cons(sK57,sK56),nil) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_45721,c_232]) ).
tcf(c_45826,plain,
app(nil,cons(sK57,sK56)) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_45721,c_155]) ).
tcf(c_45835,plain,
( ( cons(sK57,sK56) = nil )
| ( sK51(cons(sK57,sK56)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_45823,c_14669]) ).
tcf(c_45838,plain,
( ( cons(sK57,sK56) = nil )
| ( sK52(cons(sK57,sK56)) = sK56 ) ),
inference(light_normalisation,[status(thm)],[c_45822,c_14841]) ).
tcf(c_45841,plain,
cons(sK57,cons(sK57,app(sK56,sK59))) = app(cons(sK57,cons(sK57,sK56)),sK59),
inference(light_normalisation,[status(thm)],[c_45804,c_37873]) ).
tcf(c_45842,plain,
cons(sK57,cons(sK57,app(sK56,sK58))) = app(cons(sK57,cons(sK57,sK56)),sK58),
inference(light_normalisation,[status(thm)],[c_45801,c_41515]) ).
tcf(c_45843,plain,
cons(sK57,cons(sK57,app(sK56,sK56))) = app(cons(sK57,cons(sK57,sK56)),sK56),
inference(light_normalisation,[status(thm)],[c_45798,c_45008]) ).
tcf(c_45855,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = nil )
| ( hd(app(cons(sK57,sK56),X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_45817,c_14669]) ).
tcf(c_45862,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = nil )
| ( tl(app(cons(sK57,sK56),X0)) = app(sK56,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_45813,c_14841]) ).
tcf(c_45980,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45722,c_183]) ).
tcf(c_45981,plain,
( ( cons(sK57,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56))
| ~ rearsegP(sK56,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45722,c_184]) ).
tcf(c_45982,plain,
( ( app(sK12(cons(sK57,sK56),sK56),sK56) = cons(sK57,sK56) )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45722,c_66]) ).
tcf(c_45983,plain,
app(sK12(cons(sK57,sK56),sK56),sK56) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_45982,c_8907,c_45721]) ).
tcf(c_45984,plain,
( ( cons(sK57,sK56) = sK56 )
| ~ rearsegP(sK56,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45981,c_8907,c_45721]) ).
tcf(c_45988,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45723,c_173]) ).
tcf(c_45989,plain,
( ( cons(sK57,sK56) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(iPr_def_11,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45723,c_174]) ).
tcf(c_45990,plain,
( ( app(iPr_def_11,sK11(cons(sK57,sK56),iPr_def_11)) = cons(sK57,sK56) )
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45723,c_63]) ).
tcf(c_45992,plain,
app(iPr_def_11,sK11(cons(sK57,sK56),iPr_def_11)) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_45990,c_12706,c_45721]) ).
tcf(c_45993,plain,
( ( cons(sK57,sK56) = iPr_def_11 )
| ~ frontsegP(iPr_def_11,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45989,c_12706,c_45721]) ).
tcf(c_46066,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK56,sK58))) = app(X0,app(X1,cons(sK57,app(sK56,sK58)))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45770,c_228]) ).
tcf(c_46067,plain,
cons(sK57,app(cons(sK57,app(sK56,sK58)),sK56)) = app(cons(sK57,cons(sK57,app(sK56,sK58))),sK56),
inference(superposition,[status(thm)],[c_45770,c_37365]) ).
tcf(c_46068,plain,
tl(cons(sK7,cons(sK57,app(sK56,sK58)))) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45770,c_13978]) ).
tcf(c_46069,plain,
tl(cons(sK6,cons(sK57,app(sK56,sK58)))) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45770,c_13977]) ).
tcf(c_46070,plain,
cons(sK57,app(cons(sK57,app(sK56,sK58)),sK58)) = app(cons(sK57,cons(sK57,app(sK56,sK58))),sK58),
inference(superposition,[status(thm)],[c_45770,c_37364]) ).
tcf(c_46071,plain,
hd(cons(sK7,cons(sK57,app(sK56,sK58)))) = sK7,
inference(superposition,[status(thm)],[c_45770,c_13802]) ).
tcf(c_46072,plain,
hd(cons(sK6,cons(sK57,app(sK56,sK58)))) = sK6,
inference(superposition,[status(thm)],[c_45770,c_13801]) ).
tcf(c_46073,plain,
cons(sK57,app(cons(sK57,app(sK56,sK58)),sK59)) = app(cons(sK57,cons(sK57,app(sK56,sK58))),sK59),
inference(superposition,[status(thm)],[c_45770,c_37363]) ).
tcf(c_46074,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK56,sK58)))) = app(cons(sK57,X0),cons(sK57,app(sK56,sK58))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45770,c_22147]) ).
tcf(c_46075,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK56,sK58))) = tl(app(sK56,cons(sK57,app(sK56,sK58)))) ) ),
inference(superposition,[status(thm)],[c_45770,c_21660]) ).
tcf(c_46076,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK56,sK58))) = tl(app(sK58,cons(sK57,app(sK56,sK58)))) ) ),
inference(superposition,[status(thm)],[c_45770,c_21659]) ).
tcf(c_46077,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK56,sK58))) = tl(app(sK59,cons(sK57,app(sK56,sK58)))) ) ),
inference(superposition,[status(thm)],[c_45770,c_21658]) ).
tcf(c_46078,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK58)))
| ( app(app(sK42(cons(sK57,app(sK56,sK58))),cons(sK40(cons(sK57,app(sK56,sK58))),sK43(cons(sK57,app(sK56,sK58))))),cons(sK41(cons(sK57,app(sK56,sK58))),sK44(cons(sK57,app(sK56,sK58))))) = cons(sK57,app(sK56,sK58)) ) ),
inference(superposition,[status(thm)],[c_45770,c_124]) ).
tcf(c_46079,plain,
( strictorderedP(cons(sK57,app(sK56,sK58)))
| ( app(app(sK37(cons(sK57,app(sK56,sK58))),cons(sK35(cons(sK57,app(sK56,sK58))),sK38(cons(sK57,app(sK56,sK58))))),cons(sK36(cons(sK57,app(sK56,sK58))),sK39(cons(sK57,app(sK56,sK58))))) = cons(sK57,app(sK56,sK58)) ) ),
inference(superposition,[status(thm)],[c_45770,c_116]) ).
tcf(c_46080,plain,
( totalorderedP(cons(sK57,app(sK56,sK58)))
| ( app(app(sK32(cons(sK57,app(sK56,sK58))),cons(sK30(cons(sK57,app(sK56,sK58))),sK33(cons(sK57,app(sK56,sK58))))),cons(sK31(cons(sK57,app(sK56,sK58))),sK34(cons(sK57,app(sK56,sK58))))) = cons(sK57,app(sK56,sK58)) ) ),
inference(superposition,[status(thm)],[c_45770,c_108]) ).
tcf(c_46081,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK56,sK58)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_45770,c_19187]) ).
tcf(c_46082,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK58)) = nil )
| ( app(tl(cons(sK57,app(sK56,sK58))),X0) = tl(app(cons(sK57,app(sK56,sK58)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45770,c_234]) ).
tcf(c_46083,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK56,sK58)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_45770,c_19186]) ).
tcf(c_46084,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK56,sK58)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_45770,c_19185]) ).
tcf(c_46085,plain,
( equalelemsP(cons(sK57,app(sK56,sK58)))
| ( app(sK47(cons(sK57,app(sK56,sK58))),cons(sK45(cons(sK57,app(sK56,sK58))),cons(sK46(cons(sK57,app(sK56,sK58))),sK48(cons(sK57,app(sK56,sK58)))))) = cons(sK57,app(sK56,sK58)) ) ),
inference(superposition,[status(thm)],[c_45770,c_132]) ).
tcf(c_46086,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK58)) = nil )
| ( hd(app(cons(sK57,app(sK56,sK58)),X0)) = hd(cons(sK57,app(sK56,sK58))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45770,c_233]) ).
tcf(c_46087,plain,
( ( cons(sK57,app(sK56,sK58)) = nil )
| ( cons(hd(cons(sK57,app(sK56,sK58))),tl(cons(sK57,app(sK56,sK58)))) = cons(sK57,app(sK56,sK58)) ) ),
inference(superposition,[status(thm)],[c_45770,c_224]) ).
tcf(c_46088,plain,
( ( cons(sK57,app(sK56,sK58)) = nil )
| ( cons(sK50(cons(sK57,app(sK56,sK58))),sK49(cons(sK57,app(sK56,sK58)))) = cons(sK57,app(sK56,sK58)) ) ),
inference(superposition,[status(thm)],[c_45770,c_147]) ).
tcf(c_46089,plain,
tl(cons(sK57,cons(sK57,app(sK56,sK58)))) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45770,c_13997]) ).
tcf(c_46090,plain,
hd(cons(sK57,cons(sK57,app(sK56,sK58)))) = sK57,
inference(superposition,[status(thm)],[c_45770,c_13821]) ).
tcf(c_46091,plain,
( ( cons(sK57,app(sK56,sK58)) = nil )
| ( tl(cons(sK57,app(sK56,sK58))) = sK52(cons(sK57,app(sK56,sK58))) ) ),
inference(superposition,[status(thm)],[c_45770,c_222]) ).
tcf(c_46092,plain,
( ( cons(sK57,app(sK56,sK58)) = nil )
| ( hd(cons(sK57,app(sK56,sK58))) = sK51(cons(sK57,app(sK56,sK58))) ) ),
inference(superposition,[status(thm)],[c_45770,c_220]) ).
tcf(c_46093,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK58)))
| ( sK40(cons(sK57,app(sK56,sK58))) = sK41(cons(sK57,app(sK56,sK58))) ) ),
inference(superposition,[status(thm)],[c_45770,c_123]) ).
tcf(c_46094,plain,
app(cons(sK57,app(sK56,sK58)),nil) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45770,c_232]) ).
tcf(c_46095,plain,
app(nil,cons(sK57,app(sK56,sK58))) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45770,c_155]) ).
tcf(c_46176,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK56,sK59))) = app(X0,app(X1,cons(sK57,app(sK56,sK59)))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45773,c_228]) ).
tcf(c_46177,plain,
cons(sK57,app(cons(sK57,app(sK56,sK59)),sK56)) = app(cons(sK57,cons(sK57,app(sK56,sK59))),sK56),
inference(superposition,[status(thm)],[c_45773,c_37365]) ).
tcf(c_46178,plain,
tl(cons(sK7,cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_45773,c_13978]) ).
tcf(c_46179,plain,
tl(cons(sK6,cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_45773,c_13977]) ).
tcf(c_46180,plain,
cons(sK57,app(cons(sK57,app(sK56,sK59)),sK58)) = app(cons(sK57,cons(sK57,app(sK56,sK59))),sK58),
inference(superposition,[status(thm)],[c_45773,c_37364]) ).
tcf(c_46181,plain,
hd(cons(sK7,cons(sK57,app(sK56,sK59)))) = sK7,
inference(superposition,[status(thm)],[c_45773,c_13802]) ).
tcf(c_46182,plain,
hd(cons(sK6,cons(sK57,app(sK56,sK59)))) = sK6,
inference(superposition,[status(thm)],[c_45773,c_13801]) ).
tcf(c_46183,plain,
cons(sK57,app(cons(sK57,app(sK56,sK59)),sK59)) = app(cons(sK57,cons(sK57,app(sK56,sK59))),sK59),
inference(superposition,[status(thm)],[c_45773,c_37363]) ).
tcf(c_46184,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK56,sK59)))) = app(cons(sK57,X0),cons(sK57,app(sK56,sK59))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45773,c_22147]) ).
tcf(c_46185,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK56,sK59))) = tl(app(sK56,cons(sK57,app(sK56,sK59)))) ) ),
inference(superposition,[status(thm)],[c_45773,c_21660]) ).
tcf(c_46186,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK56,sK59))) = tl(app(sK58,cons(sK57,app(sK56,sK59)))) ) ),
inference(superposition,[status(thm)],[c_45773,c_21659]) ).
tcf(c_46187,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK56,sK59))) = tl(app(sK59,cons(sK57,app(sK56,sK59)))) ) ),
inference(superposition,[status(thm)],[c_45773,c_21658]) ).
tcf(c_46188,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK59)))
| ( app(app(sK42(cons(sK57,app(sK56,sK59))),cons(sK40(cons(sK57,app(sK56,sK59))),sK43(cons(sK57,app(sK56,sK59))))),cons(sK41(cons(sK57,app(sK56,sK59))),sK44(cons(sK57,app(sK56,sK59))))) = cons(sK57,app(sK56,sK59)) ) ),
inference(superposition,[status(thm)],[c_45773,c_124]) ).
tcf(c_46189,plain,
( strictorderedP(cons(sK57,app(sK56,sK59)))
| ( app(app(sK37(cons(sK57,app(sK56,sK59))),cons(sK35(cons(sK57,app(sK56,sK59))),sK38(cons(sK57,app(sK56,sK59))))),cons(sK36(cons(sK57,app(sK56,sK59))),sK39(cons(sK57,app(sK56,sK59))))) = cons(sK57,app(sK56,sK59)) ) ),
inference(superposition,[status(thm)],[c_45773,c_116]) ).
tcf(c_46190,plain,
( totalorderedP(cons(sK57,app(sK56,sK59)))
| ( app(app(sK32(cons(sK57,app(sK56,sK59))),cons(sK30(cons(sK57,app(sK56,sK59))),sK33(cons(sK57,app(sK56,sK59))))),cons(sK31(cons(sK57,app(sK56,sK59))),sK34(cons(sK57,app(sK56,sK59))))) = cons(sK57,app(sK56,sK59)) ) ),
inference(superposition,[status(thm)],[c_45773,c_108]) ).
tcf(c_46191,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK56,sK59)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_45773,c_19187]) ).
tcf(c_46192,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( app(tl(cons(sK57,app(sK56,sK59))),X0) = tl(app(cons(sK57,app(sK56,sK59)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45773,c_234]) ).
tcf(c_46193,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK56,sK59)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_45773,c_19186]) ).
tcf(c_46194,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK56,sK59)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_45773,c_19185]) ).
tcf(c_46195,plain,
( equalelemsP(cons(sK57,app(sK56,sK59)))
| ( app(sK47(cons(sK57,app(sK56,sK59))),cons(sK45(cons(sK57,app(sK56,sK59))),cons(sK46(cons(sK57,app(sK56,sK59))),sK48(cons(sK57,app(sK56,sK59)))))) = cons(sK57,app(sK56,sK59)) ) ),
inference(superposition,[status(thm)],[c_45773,c_132]) ).
tcf(c_46196,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( hd(app(cons(sK57,app(sK56,sK59)),X0)) = hd(cons(sK57,app(sK56,sK59))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45773,c_233]) ).
tcf(c_46197,plain,
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( cons(hd(cons(sK57,app(sK56,sK59))),tl(cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)) ) ),
inference(superposition,[status(thm)],[c_45773,c_224]) ).
tcf(c_46198,plain,
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( cons(sK50(cons(sK57,app(sK56,sK59))),sK49(cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)) ) ),
inference(superposition,[status(thm)],[c_45773,c_147]) ).
tcf(c_46199,plain,
tl(cons(sK57,cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_45773,c_13997]) ).
tcf(c_46200,plain,
hd(cons(sK57,cons(sK57,app(sK56,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_45773,c_13821]) ).
tcf(c_46201,plain,
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( tl(cons(sK57,app(sK56,sK59))) = sK52(cons(sK57,app(sK56,sK59))) ) ),
inference(superposition,[status(thm)],[c_45773,c_222]) ).
tcf(c_46202,plain,
( ( cons(sK57,app(sK56,sK59)) = nil )
| ( hd(cons(sK57,app(sK56,sK59))) = sK51(cons(sK57,app(sK56,sK59))) ) ),
inference(superposition,[status(thm)],[c_45773,c_220]) ).
tcf(c_46203,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK59)))
| ( sK40(cons(sK57,app(sK56,sK59))) = sK41(cons(sK57,app(sK56,sK59))) ) ),
inference(superposition,[status(thm)],[c_45773,c_123]) ).
tcf(c_46204,plain,
app(cons(sK57,app(sK56,sK59)),nil) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_45773,c_232]) ).
tcf(c_46205,plain,
app(nil,cons(sK57,app(sK56,sK59))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_45773,c_155]) ).
tcf(c_46369,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK56),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_45660,c_173]) ).
tcf(c_46370,plain,
( ( app(sK59,sK56) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56))
| ~ frontsegP(sK59,app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_45660,c_174]) ).
tcf(c_46371,plain,
( ( app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_45660,c_63]) ).
tcf(c_46372,plain,
( ( app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56) )
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46371,c_8916]) ).
tcf(c_46375,plain,
( ( app(sK59,sK56) = sK59 )
| ~ ssList(app(sK59,sK56))
| ~ frontsegP(sK59,app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46370,c_8916]) ).
tcf(c_46379,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46369,c_8916]) ).
tcf(c_46393,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(app(app(cons(sK57,sK58),sK56),X0)) ),
inference(superposition,[status(thm)],[c_45007,c_67]) ).
tcf(c_46396,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(cons(sK57,sK58),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK58))
| ~ memberP(cons(sK57,app(sK58,sK56)),X0) ),
inference(superposition,[status(thm)],[c_45007,c_167]) ).
tcf(c_46397,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_45007,c_231]) ).
tcf(c_46398,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_45007,c_230]) ).
tcf(c_46399,plain,
( frontsegP(cons(sK57,app(sK58,sK56)),cons(sK57,sK58))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_45007,c_382]) ).
tcf(c_46400,plain,
( rearsegP(cons(sK57,app(sK58,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_45007,c_379]) ).
tcf(c_46401,plain,
( ssList(cons(sK57,app(sK58,sK56)))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_45007,c_153]) ).
tcf(c_46402,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK56)) != app(X0,sK56) ) ),
inference(superposition,[status(thm)],[c_45007,c_225]) ).
tcf(c_46403,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ( app(cons(sK57,sK58),X0) != cons(sK57,app(sK58,sK56)) ) ),
inference(superposition,[status(thm)],[c_45007,c_226]) ).
tcf(c_46404,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ frontsegP(cons(sK57,sK58),X0) ),
inference(superposition,[status(thm)],[c_45007,c_176]) ).
tcf(c_46405,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK58))
| ~ memberP(cons(sK57,sK58),X0) ),
inference(superposition,[status(thm)],[c_45007,c_165]) ).
tcf(c_46406,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK58,sK56)),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_45007,c_193]) ).
tcf(c_46407,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_45007,c_186]) ).
tcf(c_46408,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_45007,c_166]) ).
tcf(c_46409,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_45007,c_25203]) ).
tcf(c_46410,plain,
ssList(cons(sK57,app(sK58,sK56))),
inference(forward_subsumption_resolution,[status(thm)],[c_46401,c_8907,c_42438]) ).
tcf(c_46411,plain,
rearsegP(cons(sK57,app(sK58,sK56)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_46400,c_8907,c_42438]) ).
tcf(c_46412,plain,
frontsegP(cons(sK57,app(sK58,sK56)),cons(sK57,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_46399,c_8907,c_42438]) ).
tcf(c_46413,plain,
cons(sK57,app(sK58,sK56)) != sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_46409,c_42445,c_42438]) ).
tcf(c_46417,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46408,c_8907,c_42438]) ).
tcf(c_46421,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46407,c_8907,c_42438]) ).
tcf(c_46425,plain,
cons(sK57,app(sK58,sK56)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_46397,c_42445,c_8907,c_42438]) ).
tcf(c_46426,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46405,c_8907,c_42438]) ).
tcf(c_46430,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46404,c_8907,c_42438]) ).
tcf(c_46434,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK58,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46406,c_8907,c_42438]) ).
tcf(c_46439,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(cons(sK57,sK58),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK58,sK56)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46396,c_8907,c_42438]) ).
tcf(c_46444,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(cons(sK57,sK58),X0) != cons(sK57,app(sK58,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46403,c_8907,c_42438]) ).
tcf(c_46448,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(X0)
| ( cons(sK57,app(sK58,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46402,c_8907,c_42438]) ).
tcf(c_46452,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(app(cons(sK57,app(sK58,sK56)),X0)) ),
inference(light_normalisation,[status(thm)],[c_46393,c_45007]) ).
tcf(c_46453,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,app(sK58,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46452,c_8907,c_42438]) ).
tcf(c_46529,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK58,sK56))) = app(X0,app(X1,cons(sK57,app(sK58,sK56)))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_46410,c_228]) ).
tcf(c_46530,plain,
cons(sK57,app(cons(sK57,app(sK58,sK56)),sK56)) = app(cons(sK57,cons(sK57,app(sK58,sK56))),sK56),
inference(superposition,[status(thm)],[c_46410,c_37365]) ).
tcf(c_46531,plain,
tl(cons(sK7,cons(sK57,app(sK58,sK56)))) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_46410,c_13978]) ).
tcf(c_46532,plain,
tl(cons(sK6,cons(sK57,app(sK58,sK56)))) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_46410,c_13977]) ).
tcf(c_46533,plain,
cons(sK57,app(cons(sK57,app(sK58,sK56)),sK58)) = app(cons(sK57,cons(sK57,app(sK58,sK56))),sK58),
inference(superposition,[status(thm)],[c_46410,c_37364]) ).
tcf(c_46534,plain,
hd(cons(sK7,cons(sK57,app(sK58,sK56)))) = sK7,
inference(superposition,[status(thm)],[c_46410,c_13802]) ).
tcf(c_46535,plain,
hd(cons(sK6,cons(sK57,app(sK58,sK56)))) = sK6,
inference(superposition,[status(thm)],[c_46410,c_13801]) ).
tcf(c_46536,plain,
cons(sK57,app(cons(sK57,app(sK58,sK56)),sK59)) = app(cons(sK57,cons(sK57,app(sK58,sK56))),sK59),
inference(superposition,[status(thm)],[c_46410,c_37363]) ).
tcf(c_46537,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK58,sK56)))) = app(cons(sK57,X0),cons(sK57,app(sK58,sK56))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_46410,c_22147]) ).
tcf(c_46538,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK58,sK56))) = tl(app(sK56,cons(sK57,app(sK58,sK56)))) ) ),
inference(superposition,[status(thm)],[c_46410,c_21660]) ).
tcf(c_46539,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK58,sK56))) = tl(app(sK58,cons(sK57,app(sK58,sK56)))) ) ),
inference(superposition,[status(thm)],[c_46410,c_21659]) ).
tcf(c_46540,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK58,sK56))) = tl(app(sK59,cons(sK57,app(sK58,sK56)))) ) ),
inference(superposition,[status(thm)],[c_46410,c_21658]) ).
tcf(c_46541,plain,
( duplicatefreeP(cons(sK57,app(sK58,sK56)))
| ( app(app(sK42(cons(sK57,app(sK58,sK56))),cons(sK40(cons(sK57,app(sK58,sK56))),sK43(cons(sK57,app(sK58,sK56))))),cons(sK41(cons(sK57,app(sK58,sK56))),sK44(cons(sK57,app(sK58,sK56))))) = cons(sK57,app(sK58,sK56)) ) ),
inference(superposition,[status(thm)],[c_46410,c_124]) ).
tcf(c_46542,plain,
( strictorderedP(cons(sK57,app(sK58,sK56)))
| ( app(app(sK37(cons(sK57,app(sK58,sK56))),cons(sK35(cons(sK57,app(sK58,sK56))),sK38(cons(sK57,app(sK58,sK56))))),cons(sK36(cons(sK57,app(sK58,sK56))),sK39(cons(sK57,app(sK58,sK56))))) = cons(sK57,app(sK58,sK56)) ) ),
inference(superposition,[status(thm)],[c_46410,c_116]) ).
tcf(c_46543,plain,
( totalorderedP(cons(sK57,app(sK58,sK56)))
| ( app(app(sK32(cons(sK57,app(sK58,sK56))),cons(sK30(cons(sK57,app(sK58,sK56))),sK33(cons(sK57,app(sK58,sK56))))),cons(sK31(cons(sK57,app(sK58,sK56))),sK34(cons(sK57,app(sK58,sK56))))) = cons(sK57,app(sK58,sK56)) ) ),
inference(superposition,[status(thm)],[c_46410,c_108]) ).
tcf(c_46544,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK58,sK56)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_46410,c_19187]) ).
tcf(c_46545,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK56)) = nil )
| ( app(tl(cons(sK57,app(sK58,sK56))),X0) = tl(app(cons(sK57,app(sK58,sK56)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_46410,c_234]) ).
tcf(c_46546,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK58,sK56)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_46410,c_19186]) ).
tcf(c_46547,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK58,sK56)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_46410,c_19185]) ).
tcf(c_46548,plain,
( equalelemsP(cons(sK57,app(sK58,sK56)))
| ( app(sK47(cons(sK57,app(sK58,sK56))),cons(sK45(cons(sK57,app(sK58,sK56))),cons(sK46(cons(sK57,app(sK58,sK56))),sK48(cons(sK57,app(sK58,sK56)))))) = cons(sK57,app(sK58,sK56)) ) ),
inference(superposition,[status(thm)],[c_46410,c_132]) ).
tcf(c_46549,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK56)) = nil )
| ( hd(app(cons(sK57,app(sK58,sK56)),X0)) = hd(cons(sK57,app(sK58,sK56))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_46410,c_233]) ).
tcf(c_46550,plain,
( ( cons(sK57,app(sK58,sK56)) = nil )
| ( cons(hd(cons(sK57,app(sK58,sK56))),tl(cons(sK57,app(sK58,sK56)))) = cons(sK57,app(sK58,sK56)) ) ),
inference(superposition,[status(thm)],[c_46410,c_224]) ).
tcf(c_46551,plain,
( ( cons(sK57,app(sK58,sK56)) = nil )
| ( cons(sK50(cons(sK57,app(sK58,sK56))),sK49(cons(sK57,app(sK58,sK56)))) = cons(sK57,app(sK58,sK56)) ) ),
inference(superposition,[status(thm)],[c_46410,c_147]) ).
tcf(c_46552,plain,
tl(cons(sK57,cons(sK57,app(sK58,sK56)))) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_46410,c_13997]) ).
tcf(c_46553,plain,
hd(cons(sK57,cons(sK57,app(sK58,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_46410,c_13821]) ).
tcf(c_46554,plain,
( ( cons(sK57,app(sK58,sK56)) = nil )
| ( tl(cons(sK57,app(sK58,sK56))) = sK52(cons(sK57,app(sK58,sK56))) ) ),
inference(superposition,[status(thm)],[c_46410,c_222]) ).
tcf(c_46555,plain,
( ( cons(sK57,app(sK58,sK56)) = nil )
| ( hd(cons(sK57,app(sK58,sK56))) = sK51(cons(sK57,app(sK58,sK56))) ) ),
inference(superposition,[status(thm)],[c_46410,c_220]) ).
tcf(c_46556,plain,
( duplicatefreeP(cons(sK57,app(sK58,sK56)))
| ( sK40(cons(sK57,app(sK58,sK56))) = sK41(cons(sK57,app(sK58,sK56))) ) ),
inference(superposition,[status(thm)],[c_46410,c_123]) ).
tcf(c_46557,plain,
app(cons(sK57,app(sK58,sK56)),nil) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_46410,c_232]) ).
tcf(c_46558,plain,
app(nil,cons(sK57,app(sK58,sK56))) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_46410,c_155]) ).
tcf(c_46879,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_46411,c_183]) ).
tcf(c_46880,plain,
( ( cons(sK57,app(sK58,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK58,sK56)))
| ~ rearsegP(sK56,cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_46411,c_184]) ).
tcf(c_46881,plain,
( ( app(sK12(cons(sK57,app(sK58,sK56)),sK56),sK56) = cons(sK57,app(sK58,sK56)) )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_46411,c_66]) ).
tcf(c_46883,plain,
app(sK12(cons(sK57,app(sK58,sK56)),sK56),sK56) = cons(sK57,app(sK58,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_46881,c_8907,c_46410]) ).
tcf(c_46884,plain,
( ( cons(sK57,app(sK58,sK56)) = sK56 )
| ~ rearsegP(sK56,cons(sK57,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46880,c_8907,c_46410]) ).
tcf(c_46887,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ frontsegP(cons(sK57,sK58),X0)
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_46412,c_173]) ).
tcf(c_46888,plain,
( ( cons(sK57,app(sK58,sK56)) = cons(sK57,sK58) )
| ~ ssList(cons(sK57,sK58))
| ~ ssList(cons(sK57,app(sK58,sK56)))
| ~ frontsegP(cons(sK57,sK58),cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_46412,c_174]) ).
tcf(c_46889,plain,
( ( app(cons(sK57,sK58),sK11(cons(sK57,app(sK58,sK56)),cons(sK57,sK58))) = cons(sK57,app(sK58,sK56)) )
| ~ ssList(cons(sK57,sK58))
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_46412,c_63]) ).
tcf(c_46891,plain,
( frontsegP(app(sK58,sK56),sK58)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_46412,c_179]) ).
tcf(c_46892,plain,
( frontsegP(app(sK58,sK56),sK58)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46891,c_8915,c_8914]) ).
tcf(c_46896,plain,
app(cons(sK57,sK58),sK11(cons(sK57,app(sK58,sK56)),cons(sK57,sK58))) = cons(sK57,app(sK58,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_46889,c_42438,c_46410]) ).
tcf(c_46897,plain,
( ( cons(sK57,app(sK58,sK56)) = cons(sK57,sK58) )
| ~ frontsegP(cons(sK57,sK58),cons(sK57,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46888,c_42438,c_46410]) ).
tcf(c_46939,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK56),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_46892,c_173]) ).
tcf(c_46940,plain,
( ( app(sK58,sK56) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK56))
| ~ frontsegP(sK58,app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_46892,c_174]) ).
tcf(c_46941,plain,
( ( app(sK58,sK11(app(sK58,sK56),sK58)) = app(sK58,sK56) )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_46892,c_63]) ).
tcf(c_46942,plain,
( ( app(sK58,sK11(app(sK58,sK56),sK58)) = app(sK58,sK56) )
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46941,c_8915]) ).
tcf(c_46945,plain,
( ( app(sK58,sK56) = sK58 )
| ~ ssList(app(sK58,sK56))
| ~ frontsegP(sK58,app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46940,c_8915]) ).
tcf(c_46949,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46939,c_8915]) ).
tcf(c_46955,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(app(cons(sK57,sK56),sK56),X0)) ),
inference(superposition,[status(thm)],[c_45008,c_67]) ).
tcf(c_46958,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(cons(sK57,sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,app(sK56,sK56)),X0) ),
inference(superposition,[status(thm)],[c_45008,c_167]) ).
tcf(c_46959,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_45008,c_231]) ).
tcf(c_46960,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != nil ) ),
inference(superposition,[status(thm)],[c_45008,c_230]) ).
tcf(c_46961,plain,
( frontsegP(cons(sK57,app(sK56,sK56)),cons(sK57,sK56))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45008,c_382]) ).
tcf(c_46962,plain,
( rearsegP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45008,c_379]) ).
tcf(c_46963,plain,
( ssList(cons(sK57,app(sK56,sK56)))
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45008,c_153]) ).
tcf(c_46964,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != app(X0,sK56) ) ),
inference(superposition,[status(thm)],[c_45008,c_225]) ).
tcf(c_46965,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( app(cons(sK57,sK56),X0) != cons(sK57,app(sK56,sK56)) ) ),
inference(superposition,[status(thm)],[c_45008,c_226]) ).
tcf(c_46966,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(superposition,[status(thm)],[c_45008,c_176]) ).
tcf(c_46967,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK56))
| ~ memberP(cons(sK57,sK56),X0) ),
inference(superposition,[status(thm)],[c_45008,c_165]) ).
tcf(c_46968,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK56)),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45008,c_193]) ).
tcf(c_46969,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45008,c_186]) ).
tcf(c_46970,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45008,c_166]) ).
tcf(c_46971,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != sK56 ) ),
inference(superposition,[status(thm)],[c_45008,c_25203]) ).
tcf(c_46972,plain,
ssList(cons(sK57,app(sK56,sK56))),
inference(forward_subsumption_resolution,[status(thm)],[c_46963,c_8907,c_45721]) ).
tcf(c_46973,plain,
rearsegP(cons(sK57,app(sK56,sK56)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_46962,c_8907,c_45721]) ).
tcf(c_46974,plain,
frontsegP(cons(sK57,app(sK56,sK56)),cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_46961,c_8907,c_45721]) ).
tcf(c_46975,plain,
cons(sK57,app(sK56,sK56)) != sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_46971,c_45728,c_45721]) ).
tcf(c_46979,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46970,c_8907,c_45721]) ).
tcf(c_46983,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46969,c_8907,c_45721]) ).
tcf(c_46987,plain,
cons(sK57,app(sK56,sK56)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_46959,c_45728,c_8907,c_45721]) ).
tcf(c_46988,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46967,c_8907,c_45721]) ).
tcf(c_46992,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46966,c_8907,c_45721]) ).
tcf(c_46996,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK56)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46968,c_8907,c_45721]) ).
tcf(c_47001,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(cons(sK57,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK56,sK56)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46958,c_8907,c_45721]) ).
tcf(c_47006,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(cons(sK57,sK56),X0) != cons(sK57,app(sK56,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46965,c_8907,c_45721]) ).
tcf(c_47010,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ( cons(sK57,app(sK56,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46964,c_8907,c_45721]) ).
tcf(c_47014,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(cons(sK57,app(sK56,sK56)),X0)) ),
inference(light_normalisation,[status(thm)],[c_46955,c_45008]) ).
tcf(c_47015,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,app(sK56,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47014,c_8907,c_45721]) ).
tcf(c_47032,plain,
! [X0: $i] :
( segmentP(app(tl(sK58),X0),nil)
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ ssList(app(app(tl(sK58),nil),X0)) ),
inference(superposition,[status(thm)],[c_15721,c_67]) ).
tcf(c_47038,plain,
( frontsegP(tl(sK58),tl(sK58))
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssList(tl(sK58)) ),
inference(superposition,[status(thm)],[c_15721,c_382]) ).
tcf(c_47039,plain,
( rearsegP(tl(sK58),nil)
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssList(tl(sK58)) ),
inference(superposition,[status(thm)],[c_15721,c_379]) ).
tcf(c_47041,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( tl(sK58) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ( app(X0,nil) != tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15721,c_225]) ).
tcf(c_47042,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ( app(tl(sK58),X0) != tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15721,c_226]) ).
tcf(c_47045,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(sK58),X1),X0)
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_15721,c_193]) ).
tcf(c_47046,plain,
! [X0: $i] :
( rearsegP(tl(sK58),X0)
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_15721,c_186]) ).
tcf(c_47047,plain,
! [X0: $i] :
( memberP(tl(sK58),X0)
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(tl(sK58))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_15721,c_166]) ).
tcf(c_47051,plain,
( rearsegP(tl(sK58),nil)
| ( nil = sK58 )
| ~ ssList(tl(sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47039,c_141]) ).
tcf(c_47055,plain,
( frontsegP(tl(sK58),tl(sK58))
| ( nil = sK58 )
| ~ ssList(tl(sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47038,c_141]) ).
tcf(c_47059,plain,
! [X0: $i] :
( memberP(tl(sK58),X0)
| ( nil = sK58 )
| ~ ssItem(X0)
| ~ ssList(tl(sK58))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47047,c_141]) ).
tcf(c_47065,plain,
! [X0: $i] :
( rearsegP(tl(sK58),X0)
| ( nil = sK58 )
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47046,c_141]) ).
tcf(c_47071,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(sK58),X1),X0)
| ( nil = sK58 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47045,c_141]) ).
tcf(c_47078,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ( app(tl(sK58),X0) != tl(sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47042,c_141]) ).
tcf(c_47084,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( tl(sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ( app(X0,nil) != tl(sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47041,c_141]) ).
tcf(c_47090,plain,
! [X0: $i] :
( segmentP(app(tl(sK58),X0),nil)
| ( nil = sK58 )
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ ssList(app(app(tl(sK58),nil),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47032,c_141]) ).
tcf(c_47105,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,app(sK56,sK56))) = app(X0,app(X1,cons(sK57,app(sK56,sK56)))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_46972,c_228]) ).
tcf(c_47106,plain,
cons(sK57,app(cons(sK57,app(sK56,sK56)),sK56)) = app(cons(sK57,cons(sK57,app(sK56,sK56))),sK56),
inference(superposition,[status(thm)],[c_46972,c_37365]) ).
tcf(c_47107,plain,
tl(cons(sK7,cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_46972,c_13978]) ).
tcf(c_47108,plain,
tl(cons(sK6,cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_46972,c_13977]) ).
tcf(c_47109,plain,
cons(sK57,app(cons(sK57,app(sK56,sK56)),sK58)) = app(cons(sK57,cons(sK57,app(sK56,sK56))),sK58),
inference(superposition,[status(thm)],[c_46972,c_37364]) ).
tcf(c_47110,plain,
hd(cons(sK7,cons(sK57,app(sK56,sK56)))) = sK7,
inference(superposition,[status(thm)],[c_46972,c_13802]) ).
tcf(c_47111,plain,
hd(cons(sK6,cons(sK57,app(sK56,sK56)))) = sK6,
inference(superposition,[status(thm)],[c_46972,c_13801]) ).
tcf(c_47112,plain,
cons(sK57,app(cons(sK57,app(sK56,sK56)),sK59)) = app(cons(sK57,cons(sK57,app(sK56,sK56))),sK59),
inference(superposition,[status(thm)],[c_46972,c_37363]) ).
tcf(c_47113,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,app(sK56,sK56)))) = app(cons(sK57,X0),cons(sK57,app(sK56,sK56))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_46972,c_22147]) ).
tcf(c_47114,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,app(sK56,sK56))) = tl(app(sK56,cons(sK57,app(sK56,sK56)))) ) ),
inference(superposition,[status(thm)],[c_46972,c_21660]) ).
tcf(c_47115,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,app(sK56,sK56))) = tl(app(sK58,cons(sK57,app(sK56,sK56)))) ) ),
inference(superposition,[status(thm)],[c_46972,c_21659]) ).
tcf(c_47116,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,app(sK56,sK56))) = tl(app(sK59,cons(sK57,app(sK56,sK56)))) ) ),
inference(superposition,[status(thm)],[c_46972,c_21658]) ).
tcf(c_47117,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK56)))
| ( app(app(sK42(cons(sK57,app(sK56,sK56))),cons(sK40(cons(sK57,app(sK56,sK56))),sK43(cons(sK57,app(sK56,sK56))))),cons(sK41(cons(sK57,app(sK56,sK56))),sK44(cons(sK57,app(sK56,sK56))))) = cons(sK57,app(sK56,sK56)) ) ),
inference(superposition,[status(thm)],[c_46972,c_124]) ).
tcf(c_47118,plain,
( strictorderedP(cons(sK57,app(sK56,sK56)))
| ( app(app(sK37(cons(sK57,app(sK56,sK56))),cons(sK35(cons(sK57,app(sK56,sK56))),sK38(cons(sK57,app(sK56,sK56))))),cons(sK36(cons(sK57,app(sK56,sK56))),sK39(cons(sK57,app(sK56,sK56))))) = cons(sK57,app(sK56,sK56)) ) ),
inference(superposition,[status(thm)],[c_46972,c_116]) ).
tcf(c_47119,plain,
( totalorderedP(cons(sK57,app(sK56,sK56)))
| ( app(app(sK32(cons(sK57,app(sK56,sK56))),cons(sK30(cons(sK57,app(sK56,sK56))),sK33(cons(sK57,app(sK56,sK56))))),cons(sK31(cons(sK57,app(sK56,sK56))),sK34(cons(sK57,app(sK56,sK56))))) = cons(sK57,app(sK56,sK56)) ) ),
inference(superposition,[status(thm)],[c_46972,c_108]) ).
tcf(c_47120,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,app(sK56,sK56)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_46972,c_19187]) ).
tcf(c_47121,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK56)) = nil )
| ( app(tl(cons(sK57,app(sK56,sK56))),X0) = tl(app(cons(sK57,app(sK56,sK56)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_46972,c_234]) ).
tcf(c_47122,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,app(sK56,sK56)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_46972,c_19186]) ).
tcf(c_47123,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,app(sK56,sK56)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_46972,c_19185]) ).
tcf(c_47124,plain,
( equalelemsP(cons(sK57,app(sK56,sK56)))
| ( app(sK47(cons(sK57,app(sK56,sK56))),cons(sK45(cons(sK57,app(sK56,sK56))),cons(sK46(cons(sK57,app(sK56,sK56))),sK48(cons(sK57,app(sK56,sK56)))))) = cons(sK57,app(sK56,sK56)) ) ),
inference(superposition,[status(thm)],[c_46972,c_132]) ).
tcf(c_47125,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK56)) = nil )
| ( hd(app(cons(sK57,app(sK56,sK56)),X0)) = hd(cons(sK57,app(sK56,sK56))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_46972,c_233]) ).
tcf(c_47126,plain,
( ( cons(sK57,app(sK56,sK56)) = nil )
| ( cons(hd(cons(sK57,app(sK56,sK56))),tl(cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)) ) ),
inference(superposition,[status(thm)],[c_46972,c_224]) ).
tcf(c_47127,plain,
( ( cons(sK57,app(sK56,sK56)) = nil )
| ( cons(sK50(cons(sK57,app(sK56,sK56))),sK49(cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)) ) ),
inference(superposition,[status(thm)],[c_46972,c_147]) ).
tcf(c_47128,plain,
tl(cons(sK57,cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_46972,c_13997]) ).
tcf(c_47129,plain,
hd(cons(sK57,cons(sK57,app(sK56,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_46972,c_13821]) ).
tcf(c_47130,plain,
( ( cons(sK57,app(sK56,sK56)) = nil )
| ( tl(cons(sK57,app(sK56,sK56))) = sK52(cons(sK57,app(sK56,sK56))) ) ),
inference(superposition,[status(thm)],[c_46972,c_222]) ).
tcf(c_47131,plain,
( ( cons(sK57,app(sK56,sK56)) = nil )
| ( hd(cons(sK57,app(sK56,sK56))) = sK51(cons(sK57,app(sK56,sK56))) ) ),
inference(superposition,[status(thm)],[c_46972,c_220]) ).
tcf(c_47132,plain,
( duplicatefreeP(cons(sK57,app(sK56,sK56)))
| ( sK40(cons(sK57,app(sK56,sK56))) = sK41(cons(sK57,app(sK56,sK56))) ) ),
inference(superposition,[status(thm)],[c_46972,c_123]) ).
tcf(c_47133,plain,
app(cons(sK57,app(sK56,sK56)),nil) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_46972,c_232]) ).
tcf(c_47134,plain,
app(nil,cons(sK57,app(sK56,sK56))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_46972,c_155]) ).
tcf(c_47227,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_45769,c_183]) ).
tcf(c_47228,plain,
( ( cons(sK57,app(sK56,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK56,sK58)))
| ~ rearsegP(sK58,cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_45769,c_184]) ).
tcf(c_47229,plain,
( ( app(sK12(cons(sK57,app(sK56,sK58)),sK58),sK58) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_45769,c_66]) ).
tcf(c_47230,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47227,c_8915,c_45770]) ).
tcf(c_47234,plain,
app(sK12(cons(sK57,app(sK56,sK58)),sK58),sK58) = cons(sK57,app(sK56,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_47229,c_8915,c_45770]) ).
tcf(c_47235,plain,
( ( cons(sK57,app(sK56,sK58)) = sK58 )
| ~ rearsegP(sK58,cons(sK57,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47228,c_8915,c_45770]) ).
tcf(c_47249,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_45772,c_183]) ).
tcf(c_47250,plain,
( ( cons(sK57,app(sK56,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK56,sK59)))
| ~ rearsegP(sK59,cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_45772,c_184]) ).
tcf(c_47251,plain,
( ( app(sK12(cons(sK57,app(sK56,sK59)),sK59),sK59) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_45772,c_66]) ).
tcf(c_47252,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47249,c_8916,c_45773]) ).
tcf(c_47256,plain,
app(sK12(cons(sK57,app(sK56,sK59)),sK59),sK59) = cons(sK57,app(sK56,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_47251,c_8916,c_45773]) ).
tcf(c_47257,plain,
( ( cons(sK57,app(sK56,sK59)) = sK59 )
| ~ rearsegP(sK59,cons(sK57,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47250,c_8916,c_45773]) ).
tcf(c_47289,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_46973,c_183]) ).
tcf(c_47290,plain,
( ( cons(sK57,app(sK56,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK56,sK56)))
| ~ rearsegP(sK56,cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_46973,c_184]) ).
tcf(c_47291,plain,
( ( app(sK12(cons(sK57,app(sK56,sK56)),sK56),sK56) = cons(sK57,app(sK56,sK56)) )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_46973,c_66]) ).
tcf(c_47293,plain,
app(sK12(cons(sK57,app(sK56,sK56)),sK56),sK56) = cons(sK57,app(sK56,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_47291,c_8907,c_46972]) ).
tcf(c_47294,plain,
( ( cons(sK57,app(sK56,sK56)) = sK56 )
| ~ rearsegP(sK56,cons(sK57,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47290,c_8907,c_46972]) ).
tcf(c_47299,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,tl(iPr_def_12)) = nil )
| ( cons(sK6,tl(iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,tl(iPr_def_12)))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,tl(iPr_def_12))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_39596,c_223]) ).
tcf(c_47300,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,tl(iPr_def_12))))
| ( cons(sK6,tl(iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,tl(iPr_def_12)))
| ~ ssList(cons(sK6,tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_39596,c_212]) ).
tcf(c_47301,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,tl(iPr_def_12))))
| ( cons(sK6,tl(iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,tl(iPr_def_12)))
| ~ ssList(cons(sK6,tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_39596,c_206]) ).
tcf(c_47314,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,tl(iPr_def_12)) = nil )
| ( cons(sK6,tl(iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,tl(iPr_def_12)))
| ( tl(X0) != tl(iPr_def_12) )
| ( hd(X0) != sK6 ) ),
inference(light_normalisation,[status(thm)],[c_47299,c_43506]) ).
tcf(c_47327,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,tl(iPr_def_10)) = nil )
| ( cons(sK7,tl(iPr_def_10)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,tl(iPr_def_10)))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,tl(iPr_def_10))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_40725,c_223]) ).
tcf(c_47328,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,tl(iPr_def_10))))
| ( cons(sK7,tl(iPr_def_10)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,tl(iPr_def_10)))
| ~ ssList(cons(sK7,tl(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_40725,c_212]) ).
tcf(c_47329,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,tl(iPr_def_10))))
| ( cons(sK7,tl(iPr_def_10)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,tl(iPr_def_10)))
| ~ ssList(cons(sK7,tl(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_40725,c_206]) ).
tcf(c_47342,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,tl(iPr_def_10)) = nil )
| ( cons(sK7,tl(iPr_def_10)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,tl(iPr_def_10)))
| ( tl(X0) != tl(iPr_def_10) )
| ( hd(X0) != sK7 ) ),
inference(light_normalisation,[status(thm)],[c_47327,c_44263]) ).
tcf(c_47354,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,tl(iPr_def_12)) = nil )
| ( cons(sK7,tl(iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,tl(iPr_def_12)))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,tl(iPr_def_12))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_40726,c_223]) ).
tcf(c_47355,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,tl(iPr_def_12))))
| ( cons(sK7,tl(iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,tl(iPr_def_12)))
| ~ ssList(cons(sK7,tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_40726,c_212]) ).
tcf(c_47356,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,tl(iPr_def_12))))
| ( cons(sK7,tl(iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,tl(iPr_def_12)))
| ~ ssList(cons(sK7,tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_40726,c_206]) ).
tcf(c_47369,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,tl(iPr_def_12)) = nil )
| ( cons(sK7,tl(iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,tl(iPr_def_12)))
| ( tl(X0) != tl(iPr_def_12) )
| ( hd(X0) != sK7 ) ),
inference(light_normalisation,[status(thm)],[c_47354,c_44264]) ).
tcf(c_47381,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,cons(sK57,sK59)) = nil )
| ( cons(sK6,cons(sK57,sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,cons(sK57,sK59)))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,cons(sK57,sK59))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_39591,c_223]) ).
tcf(c_47382,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,cons(sK57,sK59))))
| ( cons(sK6,cons(sK57,sK59)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,cons(sK57,sK59)))
| ~ ssList(cons(sK6,cons(sK57,sK59))) ),
inference(superposition,[status(thm)],[c_39591,c_212]) ).
tcf(c_47383,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,cons(sK57,sK59))))
| ( cons(sK6,cons(sK57,sK59)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,cons(sK57,sK59)))
| ~ ssList(cons(sK6,cons(sK57,sK59))) ),
inference(superposition,[status(thm)],[c_39591,c_206]) ).
tcf(c_47396,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,cons(sK57,sK59)) = nil )
| ( cons(sK6,cons(sK57,sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,cons(sK57,sK59)))
| ( hd(X0) != sK6 )
| ( cons(sK57,sK59) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_47381,c_43500]) ).
tcf(c_47406,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_46974,c_173]) ).
tcf(c_47407,plain,
( ( cons(sK57,app(sK56,sK56)) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK56)))
| ~ frontsegP(cons(sK57,sK56),cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_46974,c_174]) ).
tcf(c_47408,plain,
( ( app(cons(sK57,sK56),sK11(cons(sK57,app(sK56,sK56)),cons(sK57,sK56))) = cons(sK57,app(sK56,sK56)) )
| ~ ssList(cons(sK57,sK56))
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_46974,c_63]) ).
tcf(c_47410,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_46974,c_179]) ).
tcf(c_47411,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47410,c_8907,c_8914]) ).
tcf(c_47415,plain,
app(cons(sK57,sK56),sK11(cons(sK57,app(sK56,sK56)),cons(sK57,sK56))) = cons(sK57,app(sK56,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_47408,c_45721,c_46972]) ).
tcf(c_47416,plain,
( ( cons(sK57,app(sK56,sK56)) = cons(sK57,sK56) )
| ~ frontsegP(cons(sK57,sK56),cons(sK57,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47407,c_45721,c_46972]) ).
tcf(c_47423,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_47411,c_173]) ).
tcf(c_47424,plain,
( ( app(sK56,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK56))
| ~ frontsegP(sK56,app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_47411,c_174]) ).
tcf(c_47425,plain,
( ( app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_47411,c_63]) ).
tcf(c_47426,plain,
( ( app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56) )
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47425,c_8907]) ).
tcf(c_47429,plain,
( ( app(sK56,sK56) = sK56 )
| ~ ssList(app(sK56,sK56))
| ~ frontsegP(sK56,app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47424,c_8907]) ).
tcf(c_47433,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47423,c_8907]) ).
tcf(c_47445,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK56),X0),cons(X0,sK9(cons(sK57,sK56),X0))) = cons(sK57,sK56) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45729,c_57]) ).
tcf(c_47446,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,sK56),X0)) = sK8(cons(sK57,sK56),X0) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45729,c_12510]) ).
tcf(c_47448,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,sK56),X0)) = sK8(cons(sK57,sK56),X0) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47446,c_45721]) ).
tcf(c_47452,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK56),X0),cons(X0,sK9(cons(sK57,sK56),X0))) = cons(sK57,sK56) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47445,c_45721]) ).
tcf(c_47504,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,sK56),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45733,c_183]) ).
tcf(c_47505,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,sK56))
| ~ rearsegP(X0,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45733,c_184]) ).
tcf(c_47506,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,sK56),X0),X0) = cons(sK57,sK56) )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45733,c_66]) ).
tcf(c_47507,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,sK56),X0),X0) = cons(sK57,sK56) )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47506,c_45721]) ).
tcf(c_47511,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47505,c_45721]) ).
tcf(c_47516,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,sK56),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47504,c_45721]) ).
tcf(c_47564,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK56),X0),cons(X0,sK9(cons(sK57,sK56),X0))) = cons(sK57,sK56) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45737,c_57]) ).
tcf(c_47565,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,sK56),X0)) = sK8(cons(sK57,sK56),X0) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45737,c_12510]) ).
tcf(c_47566,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ( X0 = sK57 )
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_45737,c_170]) ).
tcf(c_47568,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,sK56),X0)) = sK8(cons(sK57,sK56),X0) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47565,c_45721]) ).
tcf(c_47572,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,sK56),X0),cons(X0,sK9(cons(sK57,sK56),X0))) = cons(sK57,sK56) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47564,c_45721]) ).
tcf(c_47584,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,sK56),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45741,c_173]) ).
tcf(c_47585,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(X0,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45741,c_174]) ).
tcf(c_47586,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,sK56),X0)) = cons(sK57,sK56) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45741,c_63]) ).
tcf(c_47587,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_45741,c_178]) ).
tcf(c_47588,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK56,X1)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_45741,c_179]) ).
tcf(c_47590,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,sK56),X0)) = cons(sK57,sK56) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47586,c_45721]) ).
tcf(c_47594,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ frontsegP(X0,cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47585,c_45721]) ).
tcf(c_47599,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,sK56),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47584,c_45721]) ).
tcf(c_47605,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK56,X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47588,c_8907,c_8914]) ).
tcf(c_47615,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK56),sK56))
| ~ ssList(app(app(sK12(cons(sK57,sK56),sK56),sK56),X0)) ),
inference(superposition,[status(thm)],[c_45983,c_67]) ).
tcf(c_47618,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK12(cons(sK57,sK56),sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0)
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_45983,c_167]) ).
tcf(c_47621,plain,
( frontsegP(cons(sK57,sK56),sK12(cons(sK57,sK56),sK56))
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_45983,c_382]) ).
tcf(c_47624,plain,
! [X0: $i] :
( ( sK12(cons(sK57,sK56),sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK56),sK56))
| ( app(X0,sK56) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45983,c_225]) ).
tcf(c_47625,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK56),sK56))
| ( app(sK12(cons(sK57,sK56),sK56),X0) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45983,c_226]) ).
tcf(c_47626,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK56),sK56))
| ~ frontsegP(sK12(cons(sK57,sK56),sK56),X0) ),
inference(superposition,[status(thm)],[c_45983,c_176]) ).
tcf(c_47627,plain,
! [X0: $i] :
( memberP(cons(sK57,sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,sK56),sK56))
| ~ memberP(sK12(cons(sK57,sK56),sK56),X0) ),
inference(superposition,[status(thm)],[c_45983,c_165]) ).
tcf(c_47628,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK56),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_45983,c_193]) ).
tcf(c_47629,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_45983,c_186]) ).
tcf(c_47630,plain,
! [X0: $i] :
( memberP(cons(sK57,sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_45983,c_166]) ).
tcf(c_47632,plain,
( frontsegP(cons(sK57,sK56),sK12(cons(sK57,sK56),sK56))
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47621,c_8907]) ).
tcf(c_47637,plain,
! [X0: $i] :
( memberP(cons(sK57,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,sK56),sK56))
| ~ memberP(sK12(cons(sK57,sK56),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47627,c_8907]) ).
tcf(c_47642,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK56),sK56))
| ~ frontsegP(sK12(cons(sK57,sK56),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47626,c_8907]) ).
tcf(c_47648,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK12(cons(sK57,sK56),sK56),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0)
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47618,c_8907]) ).
tcf(c_47654,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK56),sK56))
| ( app(sK12(cons(sK57,sK56),sK56),X0) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47625,c_8907]) ).
tcf(c_47659,plain,
! [X0: $i] :
( ( sK12(cons(sK57,sK56),sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK56),sK56))
| ( app(X0,sK56) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47624,c_8907]) ).
tcf(c_47664,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK56),sK56))
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(light_normalisation,[status(thm)],[c_47615,c_45983]) ).
tcf(c_47665,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,sK56),sK56))
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47664,c_8907]) ).
tcf(c_47679,plain,
! [X0: $i] :
( segmentP(app(tl(sK58),X0),tl(sK58))
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ ssList(app(app(nil,tl(sK58)),X0)) ),
inference(superposition,[status(thm)],[c_15722,c_67]) ).
tcf(c_47685,plain,
( frontsegP(tl(sK58),nil)
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssList(tl(sK58)) ),
inference(superposition,[status(thm)],[c_15722,c_382]) ).
tcf(c_47686,plain,
( rearsegP(tl(sK58),tl(sK58))
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssList(tl(sK58)) ),
inference(superposition,[status(thm)],[c_15722,c_379]) ).
tcf(c_47688,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ( app(X0,tl(sK58)) != tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15722,c_225]) ).
tcf(c_47692,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( tl(sK58) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ( app(nil,X0) != tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15722,c_226]) ).
tcf(c_47693,plain,
! [X0: $i] :
( frontsegP(tl(sK58),X0)
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_15722,c_176]) ).
tcf(c_47695,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(sK58),X1),X0)
| ( nil = sK58 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ segmentP(tl(sK58),X0) ),
inference(superposition,[status(thm)],[c_15722,c_193]) ).
tcf(c_47698,plain,
( frontsegP(tl(sK58),nil)
| ( nil = sK58 )
| ~ ssList(tl(sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47685,c_141]) ).
tcf(c_47702,plain,
( rearsegP(tl(sK58),tl(sK58))
| ( nil = sK58 )
| ~ ssList(tl(sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47686,c_141]) ).
tcf(c_47706,plain,
! [X0: $i] :
( frontsegP(tl(sK58),X0)
| ( nil = sK58 )
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47693,c_141]) ).
tcf(c_47712,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( tl(sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ( app(nil,X0) != tl(sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47692,c_141]) ).
tcf(c_47718,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ( app(X0,tl(sK58)) != tl(sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47688,c_141]) ).
tcf(c_47724,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(sK58),X1),X0)
| ( nil = sK58 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ segmentP(tl(sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47695,c_141]) ).
tcf(c_47731,plain,
! [X0: $i] :
( segmentP(app(tl(sK58),X0),tl(sK58))
| ( nil = sK58 )
| ~ ssList(X0)
| ~ ssList(tl(sK58))
| ~ ssList(app(app(nil,tl(sK58)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47679,c_141]) ).
tcf(c_47814,plain,
( frontsegP(app(sK56,sK58),sK56)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_45768,c_179]) ).
tcf(c_47815,plain,
( frontsegP(app(sK56,sK58),sK56)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47814,c_8907,c_8914]) ).
tcf(c_47822,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(sK56)
| ~ ssItem(sK57)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_45771,c_179]) ).
tcf(c_47823,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47822,c_8907,c_8914]) ).
tcf(c_47880,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,cons(sK57,sK59)) = nil )
| ( cons(sK7,cons(sK57,sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,cons(sK57,sK59)))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,cons(sK57,sK59))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_40721,c_223]) ).
tcf(c_47881,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,cons(sK57,sK59))))
| ( cons(sK7,cons(sK57,sK59)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,cons(sK57,sK59)))
| ~ ssList(cons(sK7,cons(sK57,sK59))) ),
inference(superposition,[status(thm)],[c_40721,c_212]) ).
tcf(c_47882,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,cons(sK57,sK59))))
| ( cons(sK7,cons(sK57,sK59)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,cons(sK57,sK59)))
| ~ ssList(cons(sK7,cons(sK57,sK59))) ),
inference(superposition,[status(thm)],[c_40721,c_206]) ).
tcf(c_47895,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,cons(sK57,sK59)) = nil )
| ( cons(sK7,cons(sK57,sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,cons(sK57,sK59)))
| ( hd(X0) != sK7 )
| ( cons(sK57,sK59) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_47880,c_44258]) ).
tcf(c_47907,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,cons(sK57,sK58)) = nil )
| ( cons(sK7,cons(sK57,sK58)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,cons(sK57,sK58)))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,cons(sK57,sK58))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_42586,c_223]) ).
tcf(c_47908,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,cons(sK57,sK58))))
| ( cons(sK7,cons(sK57,sK58)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,cons(sK57,sK58)))
| ~ ssList(cons(sK7,cons(sK57,sK58))) ),
inference(superposition,[status(thm)],[c_42586,c_212]) ).
tcf(c_47909,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,cons(sK57,sK58))))
| ( cons(sK7,cons(sK57,sK58)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,cons(sK57,sK58)))
| ~ ssList(cons(sK7,cons(sK57,sK58))) ),
inference(superposition,[status(thm)],[c_42586,c_206]) ).
tcf(c_47922,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,cons(sK57,sK58)) = nil )
| ( cons(sK7,cons(sK57,sK58)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,cons(sK57,sK58)))
| ( hd(X0) != sK7 )
| ( cons(sK57,sK58) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_47907,c_44259]) ).
tcf(c_47934,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,cons(sK57,sK58)) = nil )
| ( cons(sK6,cons(sK57,sK58)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,cons(sK57,sK58)))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,cons(sK57,sK58))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_42587,c_223]) ).
tcf(c_47935,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,cons(sK57,sK58))))
| ( cons(sK6,cons(sK57,sK58)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,cons(sK57,sK58)))
| ~ ssList(cons(sK6,cons(sK57,sK58))) ),
inference(superposition,[status(thm)],[c_42587,c_212]) ).
tcf(c_47936,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,cons(sK57,sK58))))
| ( cons(sK6,cons(sK57,sK58)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,cons(sK57,sK58)))
| ~ ssList(cons(sK6,cons(sK57,sK58))) ),
inference(superposition,[status(thm)],[c_42587,c_206]) ).
tcf(c_47949,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,cons(sK57,sK58)) = nil )
| ( cons(sK6,cons(sK57,sK58)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,cons(sK57,sK58)))
| ( hd(X0) != sK6 )
| ( cons(sK57,sK58) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_47934,c_43501]) ).
tcf(c_47963,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK58),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_47815,c_173]) ).
tcf(c_47964,plain,
( ( app(sK56,sK58) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK58))
| ~ frontsegP(sK56,app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_47815,c_174]) ).
tcf(c_47965,plain,
( ( app(sK56,sK11(app(sK56,sK58),sK56)) = app(sK56,sK58) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_47815,c_63]) ).
tcf(c_47966,plain,
( ( app(sK56,sK11(app(sK56,sK58),sK56)) = app(sK56,sK58) )
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47965,c_8907]) ).
tcf(c_47969,plain,
( ( app(sK56,sK58) = sK56 )
| ~ ssList(app(sK56,sK58))
| ~ frontsegP(sK56,app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47964,c_8907]) ).
tcf(c_47973,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47963,c_8907]) ).
tcf(c_47983,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK59),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_47823,c_173]) ).
tcf(c_47984,plain,
( ( app(sK56,sK59) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK59))
| ~ frontsegP(sK56,app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_47823,c_174]) ).
tcf(c_47985,plain,
( ( app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_47823,c_63]) ).
tcf(c_47986,plain,
( ( app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59) )
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47985,c_8907]) ).
tcf(c_47989,plain,
( ( app(sK56,sK59) = sK56 )
| ~ ssList(app(sK56,sK59))
| ~ frontsegP(sK56,app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47984,c_8907]) ).
tcf(c_47993,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47983,c_8907]) ).
tcf(c_47999,plain,
~ rearsegP(sK56,cons(sK57,sK56)),
inference(global_subsumption_just,[status(thm)],[c_45984,c_45724,c_45984]) ).
tcf(c_48007,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK59,sK56)),X0),cons(X0,sK9(cons(sK57,app(sK59,sK56)),X0))) = cons(sK57,app(sK59,sK56)) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_45376,c_57]) ).
tcf(c_48008,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK59,sK56)),X0)) = sK8(cons(sK57,app(sK59,sK56)),X0) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_45376,c_12510]) ).
tcf(c_48009,plain,
! [X0: $i] :
( memberP(app(sK59,sK56),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_45376,c_170]) ).
tcf(c_48010,plain,
! [X0: $i] :
( memberP(app(sK59,sK56),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48009,c_8914]) ).
tcf(c_48016,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK59,sK56)),X0)) = sK8(cons(sK57,app(sK59,sK56)),X0) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48008,c_45369]) ).
tcf(c_48020,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK59,sK56)),X0),cons(X0,sK9(cons(sK57,app(sK59,sK56)),X0))) = cons(sK57,app(sK59,sK56)) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48007,c_45369]) ).
tcf(c_48033,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK59,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_45380,c_183]) ).
tcf(c_48034,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK56)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,app(sK59,sK56)))
| ~ rearsegP(X0,cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_45380,c_184]) ).
tcf(c_48035,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK59,sK56)),X0),X0) = cons(sK57,app(sK59,sK56)) )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_45380,c_66]) ).
tcf(c_48036,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK59,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48033,c_45369]) ).
tcf(c_48042,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK59,sK56)),X0),X0) = cons(sK57,app(sK59,sK56)) )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48035,c_45369]) ).
tcf(c_48046,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK56)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,cons(sK57,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48034,c_45369]) ).
tcf(c_48086,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK58,sK56)),X0),cons(X0,sK9(cons(sK57,app(sK58,sK56)),X0))) = cons(sK57,app(sK58,sK56)) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_46417,c_57]) ).
tcf(c_48087,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK58,sK56)),X0)) = sK8(cons(sK57,app(sK58,sK56)),X0) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_46417,c_12510]) ).
tcf(c_48088,plain,
! [X0: $i] :
( memberP(app(sK58,sK56),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_46417,c_170]) ).
tcf(c_48089,plain,
! [X0: $i] :
( memberP(app(sK58,sK56),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48088,c_8914]) ).
tcf(c_48095,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK58,sK56)),X0)) = sK8(cons(sK57,app(sK58,sK56)),X0) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48087,c_46410]) ).
tcf(c_48099,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK58,sK56)),X0),cons(X0,sK9(cons(sK57,app(sK58,sK56)),X0))) = cons(sK57,app(sK58,sK56)) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48086,c_46410]) ).
tcf(c_48112,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK58,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_46421,c_183]) ).
tcf(c_48113,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK56)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,app(sK58,sK56)))
| ~ rearsegP(X0,cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_46421,c_184]) ).
tcf(c_48114,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK58,sK56)),X0),X0) = cons(sK57,app(sK58,sK56)) )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_46421,c_66]) ).
tcf(c_48115,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK58,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48112,c_46410]) ).
tcf(c_48121,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK58,sK56)),X0),X0) = cons(sK57,app(sK58,sK56)) )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48114,c_46410]) ).
tcf(c_48125,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK56)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,cons(sK57,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48113,c_46410]) ).
tcf(c_48139,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK56,sK56)),X0),cons(X0,sK9(cons(sK57,app(sK56,sK56)),X0))) = cons(sK57,app(sK56,sK56)) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_46979,c_57]) ).
tcf(c_48140,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK56,sK56)),X0)) = sK8(cons(sK57,app(sK56,sK56)),X0) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_46979,c_12510]) ).
tcf(c_48141,plain,
! [X0: $i] :
( memberP(app(sK56,sK56),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_46979,c_170]) ).
tcf(c_48142,plain,
! [X0: $i] :
( memberP(app(sK56,sK56),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48141,c_8914]) ).
tcf(c_48148,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK56,sK56)),X0)) = sK8(cons(sK57,app(sK56,sK56)),X0) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48140,c_46972]) ).
tcf(c_48152,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK56,sK56)),X0),cons(X0,sK9(cons(sK57,app(sK56,sK56)),X0))) = cons(sK57,app(sK56,sK56)) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48139,c_46972]) ).
tcf(c_48165,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ ssList(app(app(X0,cons(sK50(tl(sK56)),X1)),tl(sK56)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(tl(sK56)),X1)),cons(sK50(tl(sK56)),sK49(tl(sK56))))) ),
inference(superposition,[status(thm)],[c_15764,c_130]) ).
tcf(c_48166,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK50(tl(sK56)),X1)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ ssList(app(app(X0,tl(sK56)),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK50(tl(sK56)),sK49(tl(sK56)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15764,c_122]) ).
tcf(c_48167,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK50(tl(sK56)),X1)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ ssList(app(app(X0,tl(sK56)),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK50(tl(sK56)),sK49(tl(sK56)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15764,c_114]) ).
tcf(c_48168,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ ssList(app(app(X0,tl(sK56)),cons(sK50(tl(sK56)),X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(tl(sK56)),sK49(tl(sK56)))),cons(sK50(tl(sK56)),X1))) ),
inference(superposition,[status(thm)],[c_15764,c_130]) ).
tcf(c_48172,plain,
! [X0: $i] :
( memberP(app(X0,tl(sK56)),sK50(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ ssList(app(X0,cons(sK50(tl(sK56)),sK49(tl(sK56))))) ),
inference(superposition,[status(thm)],[c_15764,c_54]) ).
tcf(c_48173,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(sK56)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK50(tl(sK56)),sK49(tl(sK56))))) ),
inference(superposition,[status(thm)],[c_15764,c_122]) ).
tcf(c_48174,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(sK56)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK50(tl(sK56)),sK49(tl(sK56))))) ),
inference(superposition,[status(thm)],[c_15764,c_114]) ).
tcf(c_48178,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK50(tl(sK56)) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ ssList(app(X0,cons(X1,tl(sK56))))
| ~ equalelemsP(app(X0,cons(X1,cons(sK50(tl(sK56)),sK49(tl(sK56)))))) ),
inference(superposition,[status(thm)],[c_15764,c_137]) ).
tcf(c_48181,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK50(tl(sK56)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ frontsegP(cons(X0,X1),tl(sK56)) ),
inference(superposition,[status(thm)],[c_15764,c_178]) ).
tcf(c_48182,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,sK49(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ frontsegP(cons(X0,X1),tl(sK56)) ),
inference(superposition,[status(thm)],[c_15764,c_179]) ).
tcf(c_48183,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK49(tl(sK56)) = nil )
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ( tl(sK56) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15764,c_27842]) ).
tcf(c_48184,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK50(tl(sK56)) = sK57 )
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ( tl(sK56) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_15764,c_27744]) ).
tcf(c_48185,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK50(tl(sK56)) = sK57 )
| ~ frontsegP(iPr_def_11,tl(sK56))
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56))) ),
inference(superposition,[status(thm)],[c_15764,c_27481]) ).
tcf(c_48186,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK50(tl(sK56)) = sK57 )
| ~ frontsegP(tl(sK56),iPr_def_11)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56))) ),
inference(superposition,[status(thm)],[c_15764,c_27471]) ).
tcf(c_48187,plain,
( frontsegP(nil,sK49(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ frontsegP(iPr_def_11,tl(sK56))
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56))) ),
inference(superposition,[status(thm)],[c_15764,c_26657]) ).
tcf(c_48188,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK49(tl(sK56)) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ( cons(X0,X1) != tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15764,c_144]) ).
tcf(c_48189,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK50(tl(sK56)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ( cons(X0,X1) != tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15764,c_143]) ).
tcf(c_48190,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK50(tl(sK56)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ frontsegP(tl(sK56),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_15764,c_178]) ).
tcf(c_48191,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK49(tl(sK56)),X1)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ frontsegP(tl(sK56),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_15764,c_179]) ).
tcf(c_48192,plain,
! [X0: $i] :
( memberP(sK49(tl(sK56)),X0)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK50(tl(sK56)) = X0 )
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ memberP(tl(sK56),X0) ),
inference(superposition,[status(thm)],[c_15764,c_170]) ).
tcf(c_48193,plain,
( lt(sK50(tl(sK56)),hd(sK49(tl(sK56))))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK49(tl(sK56)) = nil )
| ~ strictorderedP(tl(sK56))
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56))) ),
inference(superposition,[status(thm)],[c_15764,c_214]) ).
tcf(c_48194,plain,
( leq(sK50(tl(sK56)),hd(sK49(tl(sK56))))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK49(tl(sK56)) = nil )
| ~ totalorderedP(tl(sK56))
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56))) ),
inference(superposition,[status(thm)],[c_15764,c_208]) ).
tcf(c_48195,plain,
( strictorderedP(sK49(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK49(tl(sK56)) = nil )
| ~ strictorderedP(tl(sK56))
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56))) ),
inference(superposition,[status(thm)],[c_15764,c_213]) ).
tcf(c_48196,plain,
( totalorderedP(sK49(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ( sK49(tl(sK56)) = nil )
| ~ totalorderedP(tl(sK56))
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56))) ),
inference(superposition,[status(thm)],[c_15764,c_207]) ).
tcf(c_48198,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ( sK49(tl(sK56)) != tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15764,c_142]) ).
tcf(c_48199,plain,
( memberP(tl(sK56),sK50(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56))) ),
inference(superposition,[status(thm)],[c_15764,c_168]) ).
tcf(c_48201,plain,
! [X0: $i] :
( frontsegP(tl(sK56),cons(sK50(tl(sK56)),X0))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ frontsegP(sK49(tl(sK56)),X0) ),
inference(superposition,[status(thm)],[c_15764,c_177]) ).
tcf(c_48202,plain,
! [X0: $i] :
( memberP(tl(sK56),X0)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssItem(X0)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ memberP(sK49(tl(sK56)),X0) ),
inference(superposition,[status(thm)],[c_15764,c_169]) ).
tcf(c_48203,plain,
! [X0: $i] :
( frontsegP(cons(sK50(tl(sK56)),X0),tl(sK56))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ frontsegP(X0,sK49(tl(sK56))) ),
inference(superposition,[status(thm)],[c_15764,c_177]) ).
tcf(c_48779,plain,
cons(sK10(iPr_def_10),nil) = iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_17876,c_12745,c_17651,c_17747,c_17876]) ).
tcf(c_48781,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ ssList(app(app(X0,cons(sK10(iPr_def_10),X1)),iPr_def_10))
| ~ duplicatefreeP(app(app(X0,cons(sK10(iPr_def_10),X1)),cons(sK10(iPr_def_10),nil))) ),
inference(superposition,[status(thm)],[c_48779,c_130]) ).
tcf(c_48782,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK10(iPr_def_10),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK10(iPr_def_10),nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_48779,c_122]) ).
tcf(c_48783,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK10(iPr_def_10),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK10(iPr_def_10),nil)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_48779,c_114]) ).
tcf(c_48784,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ ssList(app(app(X0,iPr_def_10),cons(sK10(iPr_def_10),X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK10(iPr_def_10),nil)),cons(sK10(iPr_def_10),X1))) ),
inference(superposition,[status(thm)],[c_48779,c_130]) ).
tcf(c_48788,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK10(iPr_def_10))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ ssList(app(X0,cons(sK10(iPr_def_10),nil))) ),
inference(superposition,[status(thm)],[c_48779,c_54]) ).
tcf(c_48794,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_10))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK10(iPr_def_10),nil))) ),
inference(superposition,[status(thm)],[c_48779,c_122]) ).
tcf(c_48795,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_10))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK10(iPr_def_10),nil))) ),
inference(superposition,[status(thm)],[c_48779,c_114]) ).
tcf(c_48799,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_10) = X1 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ ssList(app(X0,cons(X1,iPr_def_10)))
| ~ equalelemsP(app(X0,cons(X1,cons(sK10(iPr_def_10),nil)))) ),
inference(superposition,[status(thm)],[c_48779,c_137]) ).
tcf(c_48802,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_10) = X0 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ frontsegP(cons(X0,X1),iPr_def_10) ),
inference(superposition,[status(thm)],[c_48779,c_178]) ).
tcf(c_48803,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ frontsegP(cons(X0,X1),iPr_def_10) ),
inference(superposition,[status(thm)],[c_48779,c_179]) ).
tcf(c_48805,plain,
( ( sK10(iPr_def_10) = sK57 )
| ~ ssList(nil)
| ~ ssItem(sK10(iPr_def_10))
| ( iPr_def_10 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_48779,c_27744]) ).
tcf(c_48806,plain,
( ( sK10(iPr_def_10) = sK57 )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_11,iPr_def_10)
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_48779,c_27481]) ).
tcf(c_48807,plain,
( ( sK10(iPr_def_10) = sK57 )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_48779,c_27471]) ).
tcf(c_48809,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_10))
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_48779,c_144]) ).
tcf(c_48810,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_10) = X0 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_10))
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_48779,c_143]) ).
tcf(c_48811,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_10) = X0 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_48779,c_178]) ).
tcf(c_48812,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_48779,c_179]) ).
tcf(c_48813,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( sK10(iPr_def_10) = X0 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_48779,c_170]) ).
tcf(c_48820,plain,
( memberP(iPr_def_10,sK10(iPr_def_10))
| ~ ssList(nil)
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_48779,c_168]) ).
tcf(c_48822,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,cons(sK10(iPr_def_10),X0))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_48779,c_177]) ).
tcf(c_48823,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_48779,c_169]) ).
tcf(c_48824,plain,
! [X0: $i] :
( frontsegP(cons(sK10(iPr_def_10),X0),iPr_def_10)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_48779,c_177]) ).
tcf(c_48825,plain,
( memberP(iPr_def_10,sK10(iPr_def_10))
| ~ ssItem(sK10(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48820,c_141]) ).
tcf(c_48828,plain,
( ( sK10(iPr_def_10) = sK57 )
| ~ frontsegP(iPr_def_10,iPr_def_11)
| ~ ssItem(sK10(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48807,c_141]) ).
tcf(c_48832,plain,
( ( sK10(iPr_def_10) = sK57 )
| ~ frontsegP(iPr_def_11,iPr_def_10)
| ~ ssItem(sK10(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48806,c_141]) ).
tcf(c_48836,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48823,c_141]) ).
tcf(c_48841,plain,
( ( sK10(iPr_def_10) = sK57 )
| ~ ssItem(sK10(iPr_def_10))
| ( iPr_def_10 != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48805,c_141]) ).
tcf(c_48845,plain,
! [X0: $i] :
( frontsegP(cons(sK10(iPr_def_10),X0),iPr_def_10)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48824,c_141]) ).
tcf(c_48850,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,cons(sK10(iPr_def_10),X0))
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48822,c_141]) ).
tcf(c_48855,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( sK10(iPr_def_10) = X0 )
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48813,c_141]) ).
tcf(c_48861,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48812,c_141]) ).
tcf(c_48867,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ frontsegP(cons(X0,X1),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48803,c_141]) ).
tcf(c_48873,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_10) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48811,c_141]) ).
tcf(c_48879,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_10))
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48809,c_141]) ).
tcf(c_48885,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_10) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ frontsegP(cons(X0,X1),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48802,c_141]) ).
tcf(c_48891,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK10(iPr_def_10))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ ssList(app(X0,iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_48788,c_48779]) ).
tcf(c_48892,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK10(iPr_def_10))
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ ssList(app(X0,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48891,c_141]) ).
tcf(c_48897,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_10) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_10))
| ( cons(X0,X1) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48810,c_141]) ).
tcf(c_48935,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_10) = X1 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_10)))
| ~ ssList(app(X0,cons(X1,iPr_def_10))) ),
inference(light_normalisation,[status(thm)],[c_48799,c_48779]) ).
tcf(c_48936,plain,
! [X0: $i,X1: $i] :
( ( sK10(iPr_def_10) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ equalelemsP(app(X0,cons(X1,iPr_def_10)))
| ~ ssList(app(X0,cons(X1,iPr_def_10))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48935,c_141]) ).
tcf(c_48959,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ duplicatefreeP(app(app(X0,iPr_def_10),cons(sK10(iPr_def_10),X1)))
| ~ ssList(app(app(X0,iPr_def_10),cons(sK10(iPr_def_10),X1))) ),
inference(light_normalisation,[status(thm)],[c_48784,c_48779]) ).
tcf(c_48960,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ duplicatefreeP(app(app(X0,iPr_def_10),cons(sK10(iPr_def_10),X1)))
| ~ ssList(app(app(X0,iPr_def_10),cons(sK10(iPr_def_10),X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48959,c_141]) ).
tcf(c_48966,plain,
! [X0: $i,X1: $i] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ duplicatefreeP(app(app(X0,cons(sK10(iPr_def_10),X1)),iPr_def_10))
| ~ ssList(app(app(X0,cons(sK10(iPr_def_10),X1)),iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_48781,c_48779]) ).
tcf(c_48967,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(sK10(iPr_def_10))
| ~ duplicatefreeP(app(app(X0,cons(sK10(iPr_def_10),X1)),iPr_def_10))
| ~ ssList(app(app(X0,cons(sK10(iPr_def_10),X1)),iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48966,c_141]) ).
tcf(c_48973,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_10))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_48795,c_48779]) ).
tcf(c_48974,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_10))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),iPr_def_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48973,c_141]) ).
tcf(c_48982,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_10))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_48794,c_48779]) ).
tcf(c_48983,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_10))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),iPr_def_10))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48982,c_141]) ).
tcf(c_48991,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK10(iPr_def_10),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ totalorderedP(app(app(X0,iPr_def_10),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_48783,c_48779]) ).
tcf(c_48992,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK10(iPr_def_10),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ totalorderedP(app(app(X0,iPr_def_10),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48991,c_141]) ).
tcf(c_49000,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK10(iPr_def_10),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ strictorderedP(app(app(X0,iPr_def_10),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(light_normalisation,[status(thm)],[c_48782,c_48779]) ).
tcf(c_49001,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK10(iPr_def_10),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ strictorderedP(app(app(X0,iPr_def_10),cons(X1,X2)))
| ~ ssList(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49000,c_141]) ).
tcf(c_49079,plain,
( ( app(sK8(iPr_def_10,sK10(iPr_def_10)),cons(sK10(iPr_def_10),sK9(iPr_def_10,sK10(iPr_def_10)))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_48825,c_57]) ).
tcf(c_49080,plain,
( ( app(nil,sK8(iPr_def_10,sK10(iPr_def_10))) = sK8(iPr_def_10,sK10(iPr_def_10)) )
| ~ ssList(iPr_def_10)
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_48825,c_12510]) ).
tcf(c_49081,plain,
( memberP(iPr_def_12,sK10(iPr_def_10))
| memberP(sK59,sK10(iPr_def_10))
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_48825,c_22487]) ).
tcf(c_49085,plain,
( ( app(nil,sK8(iPr_def_10,sK10(iPr_def_10))) = sK8(iPr_def_10,sK10(iPr_def_10)) )
| ~ ssItem(sK10(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49080,c_18245]) ).
tcf(c_49088,plain,
( ( app(sK8(iPr_def_10,sK10(iPr_def_10)),cons(sK10(iPr_def_10),sK9(iPr_def_10,sK10(iPr_def_10)))) = iPr_def_10 )
| ~ ssItem(sK10(iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49079,c_18245]) ).
tcf(c_49093,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,cons(sK57,sK58)) = nil )
| ( cons(sK57,cons(sK57,sK58)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,cons(sK57,sK58)))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,cons(sK57,sK58))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_42605,c_223]) ).
tcf(c_49094,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,cons(sK57,sK58))))
| ( cons(sK57,cons(sK57,sK58)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,cons(sK57,sK58)))
| ~ ssList(cons(sK57,cons(sK57,sK58))) ),
inference(superposition,[status(thm)],[c_42605,c_212]) ).
tcf(c_49095,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,cons(sK57,sK58))))
| ( cons(sK57,cons(sK57,sK58)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,cons(sK57,sK58)))
| ~ ssList(cons(sK57,cons(sK57,sK58))) ),
inference(superposition,[status(thm)],[c_42605,c_206]) ).
tcf(c_49108,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,cons(sK57,sK58)) = nil )
| ( cons(sK57,cons(sK57,sK58)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,cons(sK57,sK58)))
| ( hd(X0) != sK57 )
| ( cons(sK57,sK58) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_49093,c_42604]) ).
tcf(c_49144,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK56,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_46983,c_183]) ).
tcf(c_49145,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK56)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,app(sK56,sK56)))
| ~ rearsegP(X0,cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_46983,c_184]) ).
tcf(c_49146,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK56,sK56)),X0),X0) = cons(sK57,app(sK56,sK56)) )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_46983,c_66]) ).
tcf(c_49147,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK56,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49144,c_46972]) ).
tcf(c_49153,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK56,sK56)),X0),X0) = cons(sK57,app(sK56,sK56)) )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49146,c_46972]) ).
tcf(c_49157,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK56)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,cons(sK57,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49145,c_46972]) ).
tcf(c_49242,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK56,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_47230,c_183]) ).
tcf(c_49243,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK58)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,app(sK56,sK58)))
| ~ rearsegP(X0,cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_47230,c_184]) ).
tcf(c_49244,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK56,sK58)),X0),X0) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_47230,c_66]) ).
tcf(c_49245,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK56,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49242,c_45770]) ).
tcf(c_49251,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK56,sK58)),X0),X0) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49244,c_45770]) ).
tcf(c_49255,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK58)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ rearsegP(X0,cons(sK57,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49243,c_45770]) ).
tcf(c_49269,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK56,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_47252,c_183]) ).
tcf(c_49270,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK59)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,app(sK56,sK59)))
| ~ rearsegP(X0,cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_47252,c_184]) ).
tcf(c_49271,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK56,sK59)),X0),X0) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_47252,c_66]) ).
tcf(c_49272,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,app(sK56,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49269,c_45773]) ).
tcf(c_49278,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,app(sK56,sK59)),X0),X0) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49271,c_45773]) ).
tcf(c_49282,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK59)) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,cons(sK57,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49270,c_45773]) ).
tcf(c_49329,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ rearsegP(sK11(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_18022,c_183]) ).
tcf(c_49330,plain,
( ( sK11(sK56,nil) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,nil))
| ~ rearsegP(sK11(sK56,nil),sK56) ),
inference(superposition,[status(thm)],[c_18022,c_184]) ).
tcf(c_49331,plain,
( ( app(sK12(sK56,sK11(sK56,nil)),sK11(sK56,nil)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(sK56,nil)) ),
inference(superposition,[status(thm)],[c_18022,c_66]) ).
tcf(c_49332,plain,
( ( app(sK12(sK56,sK11(sK56,nil)),sK11(sK56,nil)) = sK56 )
| ~ ssList(sK11(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49331,c_8907]) ).
tcf(c_49341,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ~ rearsegP(sK11(sK58,nil),X0) ),
inference(superposition,[status(thm)],[c_18044,c_183]) ).
tcf(c_49342,plain,
( ( sK11(sK58,nil) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK11(sK58,nil))
| ~ rearsegP(sK11(sK58,nil),sK58) ),
inference(superposition,[status(thm)],[c_18044,c_184]) ).
tcf(c_49343,plain,
( ( app(sK12(sK58,sK11(sK58,nil)),sK11(sK58,nil)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK11(sK58,nil)) ),
inference(superposition,[status(thm)],[c_18044,c_66]) ).
tcf(c_49344,plain,
( ( app(sK12(sK58,sK11(sK58,nil)),sK11(sK58,nil)) = sK58 )
| ~ ssList(sK11(sK58,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49343,c_8915]) ).
tcf(c_49353,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_18223,c_183]) ).
tcf(c_49354,plain,
( ( sK11(sK59,nil) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),sK59) ),
inference(superposition,[status(thm)],[c_18223,c_184]) ).
tcf(c_49355,plain,
( ( app(sK12(sK59,sK11(sK59,nil)),sK11(sK59,nil)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_18223,c_66]) ).
tcf(c_49356,plain,
( rearsegP(iPr_def_10,sK11(sK59,nil))
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_18223,c_21167]) ).
tcf(c_49359,plain,
( ( app(sK12(sK59,sK11(sK59,nil)),sK11(sK59,nil)) = sK59 )
| ~ ssList(sK11(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49355,c_8916]) ).
tcf(c_49364,plain,
! [X0: $i] :
( segmentP(app(sK8(sK56,sK60),X0),sK8(sK56,sK60))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(app(app(nil,sK8(sK56,sK60)),X0)) ),
inference(superposition,[status(thm)],[c_18242,c_67]) ).
tcf(c_49370,plain,
( frontsegP(sK8(sK56,sK60),nil)
| ~ ssList(nil)
| ~ ssList(sK8(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_18242,c_382]) ).
tcf(c_49371,plain,
( rearsegP(sK8(sK56,sK60),sK8(sK56,sK60))
| ~ ssList(nil)
| ~ ssList(sK8(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_18242,c_379]) ).
tcf(c_49373,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(sK56,sK60))
| ( app(X0,sK8(sK56,sK60)) != sK8(sK56,sK60) ) ),
inference(superposition,[status(thm)],[c_18242,c_225]) ).
tcf(c_49377,plain,
! [X0: $i] :
( ( sK8(sK56,sK60) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(sK56,sK60))
| ( app(nil,X0) != sK8(sK56,sK60) ) ),
inference(superposition,[status(thm)],[c_18242,c_226]) ).
tcf(c_49378,plain,
! [X0: $i] :
( frontsegP(sK8(sK56,sK60),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(sK56,sK60)) ),
inference(superposition,[status(thm)],[c_18242,c_176]) ).
tcf(c_49380,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(sK56,sK60),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(sK56,sK60))
| ~ segmentP(sK8(sK56,sK60),X0) ),
inference(superposition,[status(thm)],[c_18242,c_193]) ).
tcf(c_49383,plain,
( frontsegP(sK8(sK56,sK60),nil)
| ~ ssList(sK8(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49370,c_141]) ).
tcf(c_49386,plain,
( rearsegP(sK8(sK56,sK60),sK8(sK56,sK60))
| ~ ssList(sK8(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49371,c_141]) ).
tcf(c_49389,plain,
! [X0: $i] :
( frontsegP(sK8(sK56,sK60),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(sK56,sK60)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49378,c_141]) ).
tcf(c_49394,plain,
! [X0: $i] :
( ( sK8(sK56,sK60) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(sK56,sK60))
| ( app(nil,X0) != sK8(sK56,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49377,c_141]) ).
tcf(c_49399,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK8(sK56,sK60))
| ( app(X0,sK8(sK56,sK60)) != sK8(sK56,sK60) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49373,c_141]) ).
tcf(c_49404,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(sK56,sK60),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(sK56,sK60))
| ~ segmentP(sK8(sK56,sK60),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49380,c_141]) ).
tcf(c_49410,plain,
! [X0: $i] :
( segmentP(app(sK8(sK56,sK60),X0),sK8(sK56,sK60))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(app(sK8(sK56,sK60),X0)) ),
inference(light_normalisation,[status(thm)],[c_49364,c_18242]) ).
tcf(c_49411,plain,
! [X0: $i] :
( segmentP(app(sK8(sK56,sK60),X0),sK8(sK56,sK60))
| ~ ssList(X0)
| ~ ssList(sK8(sK56,sK60))
| ~ ssList(app(sK8(sK56,sK60),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49410,c_141]) ).
tcf(c_49441,plain,
( ( nil = sK59 )
| ~ ssList(nil)
| ( cons(sK57,sK59) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12738,c_38523]) ).
tcf(c_49442,plain,
( ( sK11(iPr_def_11,iPr_def_11) = sK59 )
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ( cons(sK57,sK59) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_17806,c_38523]) ).
tcf(c_49444,plain,
( ( sK58 = sK59 )
| ~ ssList(sK58)
| ( cons(sK57,sK58) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_41528,c_38523]) ).
tcf(c_49445,plain,
( ( sK59 = sK56 )
| ~ ssList(sK56)
| ( cons(sK57,sK59) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45025,c_38523]) ).
tcf(c_49446,plain,
( ( nil = sK59 )
| ( cons(sK57,sK59) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49441,c_141]) ).
tcf(c_49449,plain,
( ( sK59 = sK56 )
| ( cons(sK57,sK59) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49445,c_8907]) ).
tcf(c_49452,plain,
( ( sK58 = sK59 )
| ( cons(sK57,sK58) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49444,c_8915]) ).
tcf(c_49472,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sK57,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18265,c_38527]) ).
tcf(c_49475,plain,
( ( sK12(iPr_def_10,sK59) = iPr_def_11 )
| ~ ssList(sK12(iPr_def_10,sK59))
| ( cons(sK57,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19475,c_38527]) ).
tcf(c_49476,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_37871,c_38527]) ).
tcf(c_49477,plain,
( ( cons(sK57,sK58) = iPr_def_11 )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_37872,c_38527]) ).
tcf(c_49478,plain,
( ( cons(sK57,sK56) = iPr_def_11 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_37873,c_38527]) ).
tcf(c_49480,plain,
( ( sK12(cons(sK57,sK59),sK59) = iPr_def_11 )
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_38684,c_38527]) ).
tcf(c_49487,plain,
( ( cons(sK57,sK56) = iPr_def_11 )
| ( cons(sK57,app(sK56,sK59)) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49478,c_45721]) ).
tcf(c_49490,plain,
( ( cons(sK57,sK58) = iPr_def_11 )
| ( cons(sK57,app(sK58,sK59)) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49477,c_42438]) ).
tcf(c_49493,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ( cons(sK57,app(sK59,sK59)) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49476,c_38491]) ).
tcf(c_49496,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ~ ssList(app(app(sK12(cons(sK57,app(sK59,sK59)),sK59),sK59),X0)) ),
inference(superposition,[status(thm)],[c_39364,c_67]) ).
tcf(c_49499,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK12(cons(sK57,app(sK59,sK59)),sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_39364,c_167]) ).
tcf(c_49500,plain,
( ( sK12(cons(sK57,app(sK59,sK59)),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_39364,c_231]) ).
tcf(c_49501,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_39364,c_230]) ).
tcf(c_49502,plain,
( frontsegP(cons(sK57,app(sK59,sK59)),sK12(cons(sK57,app(sK59,sK59)),sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_39364,c_382]) ).
tcf(c_49505,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK59,sK59)),sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( cons(sK57,app(sK59,sK59)) != app(X0,sK59) ) ),
inference(superposition,[status(thm)],[c_39364,c_225]) ).
tcf(c_49506,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( app(sK12(cons(sK57,app(sK59,sK59)),sK59),X0) != cons(sK57,app(sK59,sK59)) ) ),
inference(superposition,[status(thm)],[c_39364,c_226]) ).
tcf(c_49507,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ~ frontsegP(sK12(cons(sK57,app(sK59,sK59)),sK59),X0) ),
inference(superposition,[status(thm)],[c_39364,c_176]) ).
tcf(c_49508,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ~ memberP(sK12(cons(sK57,app(sK59,sK59)),sK59),X0) ),
inference(superposition,[status(thm)],[c_39364,c_165]) ).
tcf(c_49509,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK59)),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_39364,c_193]) ).
tcf(c_49510,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_39364,c_186]) ).
tcf(c_49511,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_39364,c_166]) ).
tcf(c_49512,plain,
( ( sK12(cons(sK57,app(sK59,sK59)),sK59) = iPr_def_11 )
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( cons(sK57,app(sK59,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_39364,c_38527]) ).
tcf(c_49513,plain,
( ( sK12(cons(sK57,app(sK59,sK59)),sK59) = iPr_def_12 )
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( cons(sK57,app(sK59,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_39364,c_25223]) ).
tcf(c_49514,plain,
( ( sK12(cons(sK57,app(sK59,sK59)),sK59) = nil )
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( cons(sK57,app(sK59,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_39364,c_25211]) ).
tcf(c_49515,plain,
( frontsegP(cons(sK57,app(sK59,sK59)),sK12(cons(sK57,app(sK59,sK59)),sK59))
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49502,c_8916]) ).
tcf(c_49518,plain,
( ( nil = sK59 )
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49501,c_8916]) ).
tcf(c_49522,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49511,c_8916]) ).
tcf(c_49537,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49509,c_8916]) ).
tcf(c_49543,plain,
( ( sK12(cons(sK57,app(sK59,sK59)),sK59) = nil )
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( cons(sK57,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49500,c_8916]) ).
tcf(c_49547,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ~ memberP(sK12(cons(sK57,app(sK59,sK59)),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49508,c_8916]) ).
tcf(c_49552,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ~ frontsegP(sK12(cons(sK57,app(sK59,sK59)),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49507,c_8916]) ).
tcf(c_49557,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK12(cons(sK57,app(sK59,sK59)),sK59),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49499,c_8916]) ).
tcf(c_49563,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( app(sK12(cons(sK57,app(sK59,sK59)),sK59),X0) != cons(sK57,app(sK59,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49506,c_8916]) ).
tcf(c_49568,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK59,sK59)),sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ( cons(sK57,app(sK59,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49505,c_8916]) ).
tcf(c_49573,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ~ ssList(app(cons(sK57,app(sK59,sK59)),X0)) ),
inference(light_normalisation,[status(thm)],[c_49496,c_39364]) ).
tcf(c_49574,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK59)),sK59))
| ~ ssList(app(cons(sK57,app(sK59,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49573,c_8916]) ).
tcf(c_49662,plain,
~ rearsegP(sK59,cons(sK57,app(sK59,sK59))),
inference(global_subsumption_just,[status(thm)],[c_39365,c_38073,c_38491,c_38501,c_39365]) ).
tcf(c_49909,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(sK12(cons(sK57,sK59),sK59))
| ~ frontsegP(sK12(cons(sK57,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_40129,c_173]) ).
tcf(c_49910,plain,
( ( sK12(cons(sK57,sK59),sK59) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59))
| ~ ssList(sK12(cons(sK57,sK59),sK59))
| ~ frontsegP(sK12(cons(sK57,sK59),sK59),cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_40129,c_174]) ).
tcf(c_49911,plain,
( ( app(sK12(cons(sK57,sK59),sK59),sK11(cons(sK57,sK59),sK12(cons(sK57,sK59),sK59))) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59))
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_40129,c_63]) ).
tcf(c_49913,plain,
( ( app(sK12(cons(sK57,sK59),sK59),sK11(cons(sK57,sK59),sK12(cons(sK57,sK59),sK59))) = cons(sK57,sK59) )
| ~ ssList(sK12(cons(sK57,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49911,c_38491]) ).
tcf(c_49916,plain,
( ( sK12(cons(sK57,sK59),sK59) = cons(sK57,sK59) )
| ~ ssList(sK12(cons(sK57,sK59),sK59))
| ~ frontsegP(sK12(cons(sK57,sK59),sK59),cons(sK57,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49910,c_38491]) ).
tcf(c_49926,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( cons(sK57,tl(sK56)) = nil )
| ( cons(sK57,tl(sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,tl(sK56)))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,tl(sK56))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_15766,c_223]) ).
tcf(c_49927,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,tl(sK56))))
| ( nil = sK56 )
| ( cons(sK57,tl(sK56)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,tl(sK56)))
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(superposition,[status(thm)],[c_15766,c_212]) ).
tcf(c_49928,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,tl(sK56))))
| ( nil = sK56 )
| ( cons(sK57,tl(sK56)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,tl(sK56)))
| ~ ssList(cons(sK57,tl(sK56))) ),
inference(superposition,[status(thm)],[c_15766,c_206]) ).
tcf(c_49957,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ frontsegP(sK12(sK56,nil),X0) ),
inference(superposition,[status(thm)],[c_18558,c_173]) ).
tcf(c_49958,plain,
( ( sK12(sK56,nil) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,nil))
| ~ frontsegP(sK12(sK56,nil),sK56) ),
inference(superposition,[status(thm)],[c_18558,c_174]) ).
tcf(c_49959,plain,
( ( app(sK12(sK56,nil),sK11(sK56,sK12(sK56,nil))) = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK12(sK56,nil)) ),
inference(superposition,[status(thm)],[c_18558,c_63]) ).
tcf(c_49960,plain,
( ( app(sK12(sK56,nil),sK11(sK56,sK12(sK56,nil))) = sK56 )
| ~ ssList(sK12(sK56,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49959,c_8907]) ).
tcf(c_49969,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ frontsegP(sK12(sK58,nil),X0) ),
inference(superposition,[status(thm)],[c_18578,c_173]) ).
tcf(c_49970,plain,
( ( sK12(sK58,nil) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK12(sK58,nil))
| ~ frontsegP(sK12(sK58,nil),sK58) ),
inference(superposition,[status(thm)],[c_18578,c_174]) ).
tcf(c_49971,plain,
( ( app(sK12(sK58,nil),sK11(sK58,sK12(sK58,nil))) = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK12(sK58,nil)) ),
inference(superposition,[status(thm)],[c_18578,c_63]) ).
tcf(c_49972,plain,
( frontsegP(iPr_def_12,sK12(sK58,nil))
| ~ ssList(sK12(sK58,nil)) ),
inference(superposition,[status(thm)],[c_18578,c_18790]) ).
tcf(c_49975,plain,
( ( app(sK12(sK58,nil),sK11(sK58,sK12(sK58,nil))) = sK58 )
| ~ ssList(sK12(sK58,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49971,c_8915]) ).
tcf(c_49984,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ frontsegP(sK12(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_18598,c_173]) ).
tcf(c_49985,plain,
( ( sK12(sK59,nil) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,nil))
| ~ frontsegP(sK12(sK59,nil),sK59) ),
inference(superposition,[status(thm)],[c_18598,c_174]) ).
tcf(c_49986,plain,
( ( app(sK12(sK59,nil),sK11(sK59,sK12(sK59,nil))) = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(sK59,nil)) ),
inference(superposition,[status(thm)],[c_18598,c_63]) ).
tcf(c_49987,plain,
( ( app(sK12(sK59,nil),sK11(sK59,sK12(sK59,nil))) = sK59 )
| ~ ssList(sK12(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49986,c_8916]) ).
tcf(c_49994,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,cons(sK57,sK56)) = nil )
| ( cons(sK7,cons(sK57,sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,cons(sK57,sK56)))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,cons(sK57,sK56))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_45802,c_223]) ).
tcf(c_49995,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,cons(sK57,sK56))))
| ( cons(sK7,cons(sK57,sK56)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,cons(sK57,sK56)))
| ~ ssList(cons(sK7,cons(sK57,sK56))) ),
inference(superposition,[status(thm)],[c_45802,c_212]) ).
tcf(c_49996,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,cons(sK57,sK56))))
| ( cons(sK7,cons(sK57,sK56)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,cons(sK57,sK56)))
| ~ ssList(cons(sK7,cons(sK57,sK56))) ),
inference(superposition,[status(thm)],[c_45802,c_206]) ).
tcf(c_50009,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,cons(sK57,sK56)) = nil )
| ( cons(sK7,cons(sK57,sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,cons(sK57,sK56)))
| ( hd(X0) != sK7 )
| ( cons(sK57,sK56) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_49994,c_45799]) ).
tcf(c_50021,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,cons(sK57,sK56)) = nil )
| ( cons(sK6,cons(sK57,sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,cons(sK57,sK56)))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,cons(sK57,sK56))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_45803,c_223]) ).
tcf(c_50022,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,cons(sK57,sK56))))
| ( cons(sK6,cons(sK57,sK56)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,cons(sK57,sK56)))
| ~ ssList(cons(sK6,cons(sK57,sK56))) ),
inference(superposition,[status(thm)],[c_45803,c_212]) ).
tcf(c_50023,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,cons(sK57,sK56))))
| ( cons(sK6,cons(sK57,sK56)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,cons(sK57,sK56)))
| ~ ssList(cons(sK6,cons(sK57,sK56))) ),
inference(superposition,[status(thm)],[c_45803,c_206]) ).
tcf(c_50036,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,cons(sK57,sK56)) = nil )
| ( cons(sK6,cons(sK57,sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,cons(sK57,sK56)))
| ( hd(X0) != sK6 )
| ( cons(sK57,sK56) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_50021,c_45800]) ).
tcf(c_50048,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,cons(sK57,sK56)) = nil )
| ( cons(sK57,cons(sK57,sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,cons(sK57,sK56)))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,cons(sK57,sK56))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_45821,c_223]) ).
tcf(c_50049,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,cons(sK57,sK56))))
| ( cons(sK57,cons(sK57,sK56)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,cons(sK57,sK56)))
| ~ ssList(cons(sK57,cons(sK57,sK56))) ),
inference(superposition,[status(thm)],[c_45821,c_212]) ).
tcf(c_50050,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,cons(sK57,sK56))))
| ( cons(sK57,cons(sK57,sK56)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,cons(sK57,sK56)))
| ~ ssList(cons(sK57,cons(sK57,sK56))) ),
inference(superposition,[status(thm)],[c_45821,c_206]) ).
tcf(c_50063,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,cons(sK57,sK56)) = nil )
| ( cons(sK57,cons(sK57,sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,cons(sK57,sK56)))
| ( hd(X0) != sK57 )
| ( cons(sK57,sK56) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_50048,c_45820]) ).
tcf(c_50079,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK59,sK58)),X0),cons(X0,sK9(cons(sK57,app(sK59,sK58)),X0))) = cons(sK57,app(sK59,sK58)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_41779,c_57]) ).
tcf(c_50080,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK59,sK58)),X0)) = sK8(cons(sK57,app(sK59,sK58)),X0) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_41779,c_12510]) ).
tcf(c_50081,plain,
! [X0: $i] :
( memberP(app(sK59,sK58),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ memberP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_41779,c_170]) ).
tcf(c_50082,plain,
! [X0: $i] :
( memberP(app(sK59,sK58),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50081,c_8914]) ).
tcf(c_50088,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK59,sK58)),X0)) = sK8(cons(sK57,app(sK59,sK58)),X0) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50080,c_41763]) ).
tcf(c_50092,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK59,sK58)),X0),cons(X0,sK9(cons(sK57,app(sK59,sK58)),X0))) = cons(sK57,app(sK59,sK58)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50079,c_41763]) ).
tcf(c_50105,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK59,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_41783,c_173]) ).
tcf(c_50106,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK58)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK58)))
| ~ frontsegP(X0,cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_41783,c_174]) ).
tcf(c_50107,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK59,sK58)),X0)) = cons(sK57,app(sK59,sK58)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_41783,c_63]) ).
tcf(c_50108,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK59),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_41783,c_178]) ).
tcf(c_50109,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK59,sK58),X1)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK59),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_41783,c_179]) ).
tcf(c_50111,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK59,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50105,c_41763]) ).
tcf(c_50117,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK59),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50108,c_8914]) ).
tcf(c_50124,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK59,sK58),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK59),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50109,c_8914]) ).
tcf(c_50131,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK59,sK58)),X0)) = cons(sK57,app(sK59,sK58)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50107,c_41763]) ).
tcf(c_50135,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK58)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK59),X0)
| ~ frontsegP(X0,cons(sK57,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50106,c_41763]) ).
tcf(c_50145,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58))
| ~ ssList(app(app(sK12(cons(sK57,app(sK59,sK58)),sK58),sK58),X0)) ),
inference(superposition,[status(thm)],[c_41964,c_67]) ).
tcf(c_50148,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK12(cons(sK57,app(sK59,sK58)),sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58)) ),
inference(superposition,[status(thm)],[c_41964,c_167]) ).
tcf(c_50151,plain,
( frontsegP(cons(sK57,app(sK59,sK58)),sK12(cons(sK57,app(sK59,sK58)),sK58))
| ~ ssList(sK58)
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58)) ),
inference(superposition,[status(thm)],[c_41964,c_382]) ).
tcf(c_50154,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK59,sK58)),sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58))
| ( cons(sK57,app(sK59,sK58)) != app(X0,sK58) ) ),
inference(superposition,[status(thm)],[c_41964,c_225]) ).
tcf(c_50155,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58))
| ( app(sK12(cons(sK57,app(sK59,sK58)),sK58),X0) != cons(sK57,app(sK59,sK58)) ) ),
inference(superposition,[status(thm)],[c_41964,c_226]) ).
tcf(c_50156,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58))
| ~ frontsegP(sK12(cons(sK57,app(sK59,sK58)),sK58),X0) ),
inference(superposition,[status(thm)],[c_41964,c_176]) ).
tcf(c_50157,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58))
| ~ memberP(sK12(cons(sK57,app(sK59,sK58)),sK58),X0) ),
inference(superposition,[status(thm)],[c_41964,c_165]) ).
tcf(c_50158,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK58)),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58)) ),
inference(superposition,[status(thm)],[c_41964,c_193]) ).
tcf(c_50159,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58)) ),
inference(superposition,[status(thm)],[c_41964,c_186]) ).
tcf(c_50160,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58)) ),
inference(superposition,[status(thm)],[c_41964,c_166]) ).
tcf(c_50162,plain,
( frontsegP(cons(sK57,app(sK59,sK58)),sK12(cons(sK57,app(sK59,sK58)),sK58))
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50151,c_8915]) ).
tcf(c_50168,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58))
| ~ memberP(sK12(cons(sK57,app(sK59,sK58)),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50157,c_8915]) ).
tcf(c_50173,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58))
| ~ frontsegP(sK12(cons(sK57,app(sK59,sK58)),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50156,c_8915]) ).
tcf(c_50178,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK12(cons(sK57,app(sK59,sK58)),sK58),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50148,c_8915]) ).
tcf(c_50184,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58))
| ( app(sK12(cons(sK57,app(sK59,sK58)),sK58),X0) != cons(sK57,app(sK59,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50155,c_8915]) ).
tcf(c_50189,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK59,sK58)),sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58))
| ( cons(sK57,app(sK59,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50154,c_8915]) ).
tcf(c_50194,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58))
| ~ ssList(app(cons(sK57,app(sK59,sK58)),X0)) ),
inference(light_normalisation,[status(thm)],[c_50145,c_41964]) ).
tcf(c_50195,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK58)),X0),sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58))
| ~ ssList(app(cons(sK57,app(sK59,sK58)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50194,c_8915]) ).
tcf(c_50223,plain,
~ rearsegP(sK58,cons(sK57,app(sK59,sK58))),
inference(global_subsumption_just,[status(thm)],[c_41965,c_41766,c_41965]) ).
tcf(c_50231,plain,
( ( nil = sK58 )
| ~ ssList(nil)
| ( cons(sK57,sK58) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12738,c_42467]) ).
tcf(c_50232,plain,
( ( sK11(iPr_def_11,iPr_def_11) = sK58 )
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ( cons(sK57,sK58) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_17806,c_42467]) ).
tcf(c_50233,plain,
( ( sK58 = sK59 )
| ~ ssList(sK59)
| ( cons(sK57,sK58) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_37883,c_42467]) ).
tcf(c_50235,plain,
( ( sK58 = sK56 )
| ~ ssList(sK56)
| ( cons(sK57,sK58) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45025,c_42467]) ).
tcf(c_50236,plain,
( ( nil = sK58 )
| ( cons(sK57,sK58) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50231,c_141]) ).
tcf(c_50239,plain,
( ( sK58 = sK56 )
| ( cons(sK57,sK58) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50235,c_8907]) ).
tcf(c_50285,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK58)) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_41513,c_42471]) ).
tcf(c_50286,plain,
( ( cons(sK57,sK58) = iPr_def_11 )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK58)) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_41514,c_42471]) ).
tcf(c_50287,plain,
( ( cons(sK57,sK56) = iPr_def_11 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK58)) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_41515,c_42471]) ).
tcf(c_50289,plain,
( ( sK12(cons(sK57,app(sK59,sK58)),sK58) = iPr_def_11 )
| ~ ssList(sK12(cons(sK57,app(sK59,sK58)),sK58))
| ( cons(sK57,app(sK59,sK58)) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_41964,c_42471]) ).
tcf(c_50290,plain,
( ( sK12(cons(sK57,sK58),sK58) = iPr_def_11 )
| ~ ssList(sK12(cons(sK57,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_42768,c_42471]) ).
tcf(c_50293,plain,
( ( cons(sK57,sK56) = iPr_def_11 )
| ( cons(sK57,app(sK56,sK58)) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50287,c_45721]) ).
tcf(c_50296,plain,
( ( cons(sK57,sK58) = iPr_def_11 )
| ( cons(sK57,app(sK58,sK58)) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50286,c_42438]) ).
tcf(c_50299,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ( cons(sK57,app(sK59,sK58)) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50285,c_38491]) ).
tcf(c_50311,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK58,sK58)),X0),cons(X0,sK9(cons(sK57,app(sK58,sK58)),X0))) = cons(sK57,app(sK58,sK58)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK58),X0)
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_43228,c_57]) ).
tcf(c_50312,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK58,sK58)),X0)) = sK8(cons(sK57,app(sK58,sK58)),X0) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK58),X0)
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_43228,c_12510]) ).
tcf(c_50313,plain,
! [X0: $i] :
( memberP(app(sK58,sK58),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ memberP(cons(sK57,sK58),X0) ),
inference(superposition,[status(thm)],[c_43228,c_170]) ).
tcf(c_50314,plain,
! [X0: $i] :
( memberP(app(sK58,sK58),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ memberP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50313,c_8914]) ).
tcf(c_50320,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK58,sK58)),X0)) = sK8(cons(sK57,app(sK58,sK58)),X0) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50312,c_43212]) ).
tcf(c_50324,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK58,sK58)),X0),cons(X0,sK9(cons(sK57,app(sK58,sK58)),X0))) = cons(sK57,app(sK58,sK58)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50311,c_43212]) ).
tcf(c_50337,plain,
( ssList(tl(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_15767,c_221]) ).
tcf(c_50364,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK60,sK8(X0,X1))) = sK8(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_18951]) ).
tcf(c_50365,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK60,sK9(X0,X1))) = sK9(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_18951]) ).
tcf(c_50366,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK60,app(X0,X1))) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_18951]) ).
tcf(c_50367,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK60,sK11(X0,X1))) = sK11(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_18951]) ).
tcf(c_50368,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK60,sK12(X0,X1))) = sK12(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_18951]) ).
tcf(c_50369,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK60,sK13(X0,X1))) = sK13(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_18951]) ).
tcf(c_50370,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK60,sK14(X0,X1))) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_18951]) ).
tcf(c_50380,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK60,sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_18951]) ).
tcf(c_50381,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK60,sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_18951]) ).
tcf(c_50382,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( tl(cons(sK60,sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_18951]) ).
tcf(c_50383,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK60,sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_18951]) ).
tcf(c_50384,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK60,sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_18951]) ).
tcf(c_50385,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( tl(cons(sK60,sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_18951]) ).
tcf(c_50386,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK60,sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_18951]) ).
tcf(c_50387,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK60,sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_18951]) ).
tcf(c_50388,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( tl(cons(sK60,sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_18951]) ).
tcf(c_50389,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK60,sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_18951]) ).
tcf(c_50390,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( tl(cons(sK60,sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_18951]) ).
tcf(c_50391,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(sK60,cons(X0,X1))) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_18951]) ).
tcf(c_50392,plain,
tl(cons(sK60,nil)) = nil,
inference(superposition,[status(thm)],[c_141,c_18951]) ).
tcf(c_50393,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK60,sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_18951]) ).
tcf(c_50394,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK60,tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_18951]) ).
tcf(c_50395,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(cons(sK60,sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_18951]) ).
tcf(c_50396,plain,
tl(cons(sK60,sK59)) = sK59,
inference(superposition,[status(thm)],[c_8916,c_18951]) ).
tcf(c_50397,plain,
tl(cons(sK60,sK58)) = sK58,
inference(superposition,[status(thm)],[c_8915,c_18951]) ).
tcf(c_50398,plain,
tl(cons(sK60,sK56)) = sK56,
inference(superposition,[status(thm)],[c_8907,c_18951]) ).
tcf(c_50399,plain,
tl(cons(sK60,iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_12842,c_18951]) ).
tcf(c_50400,plain,
tl(cons(sK60,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_12706,c_18951]) ).
tcf(c_50401,plain,
tl(cons(sK60,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_18245,c_18951]) ).
tcf(c_50402,plain,
tl(cons(sK60,cons(sK57,sK59))) = cons(sK57,sK59),
inference(superposition,[status(thm)],[c_38491,c_18951]) ).
tcf(c_50403,plain,
tl(cons(sK60,cons(sK57,sK58))) = cons(sK57,sK58),
inference(superposition,[status(thm)],[c_42438,c_18951]) ).
tcf(c_50404,plain,
tl(cons(sK60,cons(sK57,sK56))) = cons(sK57,sK56),
inference(superposition,[status(thm)],[c_45721,c_18951]) ).
tcf(c_50405,plain,
( ( nil = sK59 )
| ( tl(cons(sK60,tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_18951]) ).
tcf(c_50406,plain,
( ( nil = sK58 )
| ( tl(cons(sK60,tl(sK58))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_18951]) ).
tcf(c_50408,plain,
tl(cons(sK60,tl(iPr_def_10))) = tl(iPr_def_10),
inference(superposition,[status(thm)],[c_27219,c_18951]) ).
tcf(c_50409,plain,
tl(cons(sK60,tl(iPr_def_12))) = tl(iPr_def_12),
inference(superposition,[status(thm)],[c_19014,c_18951]) ).
tcf(c_50410,plain,
tl(cons(sK60,cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_38541,c_18951]) ).
tcf(c_50411,plain,
tl(cons(sK60,cons(sK57,app(sK58,sK59)))) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_42487,c_18951]) ).
tcf(c_50412,plain,
tl(cons(sK60,cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_45773,c_18951]) ).
tcf(c_50413,plain,
tl(cons(sK60,cons(sK57,app(sK59,sK58)))) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_41763,c_18951]) ).
tcf(c_50414,plain,
tl(cons(sK60,cons(sK57,app(sK58,sK58)))) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_43212,c_18951]) ).
tcf(c_50415,plain,
tl(cons(sK60,cons(sK57,app(sK56,sK58)))) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45770,c_18951]) ).
tcf(c_50416,plain,
tl(cons(sK60,cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_45369,c_18951]) ).
tcf(c_50417,plain,
tl(cons(sK60,cons(sK57,app(sK58,sK56)))) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_46410,c_18951]) ).
tcf(c_50418,plain,
tl(cons(sK60,cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_46972,c_18951]) ).
tcf(c_50419,plain,
tl(iPr_def_10) = nil,
inference(light_normalisation,[status(thm)],[c_50392,c_8902]) ).
tcf(c_50527,plain,
sK52(iPr_def_10) = nil,
inference(demodulation,[status(thm)],[c_18613,c_50419]) ).
tcf(c_50586,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK58,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK58),X0)
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_43232,c_173]) ).
tcf(c_50587,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK58)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK58),X0)
| ~ ssList(cons(sK57,app(sK58,sK58)))
| ~ frontsegP(X0,cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_43232,c_174]) ).
tcf(c_50588,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK58,sK58)),X0)) = cons(sK57,app(sK58,sK58)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK58),X0)
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_43232,c_63]) ).
tcf(c_50589,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK58),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_43232,c_178]) ).
tcf(c_50590,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK58,sK58),X1)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK58),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_43232,c_179]) ).
tcf(c_50592,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK58,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50586,c_43212]) ).
tcf(c_50598,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK58),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50589,c_8914]) ).
tcf(c_50605,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK58,sK58),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK58),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50590,c_8914]) ).
tcf(c_50612,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK58,sK58)),X0)) = cons(sK57,app(sK58,sK58)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50588,c_43212]) ).
tcf(c_50616,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK58)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK58),X0)
| ~ frontsegP(X0,cons(sK57,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50587,c_43212]) ).
tcf(c_50626,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58))
| ~ ssList(app(app(sK12(cons(sK57,app(sK58,sK58)),sK58),sK58),X0)) ),
inference(superposition,[status(thm)],[c_43416,c_67]) ).
tcf(c_50629,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK12(cons(sK57,app(sK58,sK58)),sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58)) ),
inference(superposition,[status(thm)],[c_43416,c_167]) ).
tcf(c_50632,plain,
( frontsegP(cons(sK57,app(sK58,sK58)),sK12(cons(sK57,app(sK58,sK58)),sK58))
| ~ ssList(sK58)
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58)) ),
inference(superposition,[status(thm)],[c_43416,c_382]) ).
tcf(c_50635,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK58,sK58)),sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58))
| ( cons(sK57,app(sK58,sK58)) != app(X0,sK58) ) ),
inference(superposition,[status(thm)],[c_43416,c_225]) ).
tcf(c_50636,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58))
| ( app(sK12(cons(sK57,app(sK58,sK58)),sK58),X0) != cons(sK57,app(sK58,sK58)) ) ),
inference(superposition,[status(thm)],[c_43416,c_226]) ).
tcf(c_50637,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58))
| ~ frontsegP(sK12(cons(sK57,app(sK58,sK58)),sK58),X0) ),
inference(superposition,[status(thm)],[c_43416,c_176]) ).
tcf(c_50638,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58))
| ~ memberP(sK12(cons(sK57,app(sK58,sK58)),sK58),X0) ),
inference(superposition,[status(thm)],[c_43416,c_165]) ).
tcf(c_50639,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK58,sK58)),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58)) ),
inference(superposition,[status(thm)],[c_43416,c_193]) ).
tcf(c_50640,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58)) ),
inference(superposition,[status(thm)],[c_43416,c_186]) ).
tcf(c_50641,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58)) ),
inference(superposition,[status(thm)],[c_43416,c_166]) ).
tcf(c_50642,plain,
( ( sK12(cons(sK57,app(sK58,sK58)),sK58) = iPr_def_11 )
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58))
| ( cons(sK57,app(sK58,sK58)) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_43416,c_42471]) ).
tcf(c_50644,plain,
( frontsegP(cons(sK57,app(sK58,sK58)),sK12(cons(sK57,app(sK58,sK58)),sK58))
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50632,c_8915]) ).
tcf(c_50653,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58))
| ~ memberP(sK12(cons(sK57,app(sK58,sK58)),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50638,c_8915]) ).
tcf(c_50658,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58))
| ~ frontsegP(sK12(cons(sK57,app(sK58,sK58)),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50637,c_8915]) ).
tcf(c_50663,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK12(cons(sK57,app(sK58,sK58)),sK58),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50629,c_8915]) ).
tcf(c_50669,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58))
| ( app(sK12(cons(sK57,app(sK58,sK58)),sK58),X0) != cons(sK57,app(sK58,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50636,c_8915]) ).
tcf(c_50674,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK58,sK58)),sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58))
| ( cons(sK57,app(sK58,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50635,c_8915]) ).
tcf(c_50679,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58))
| ~ ssList(app(cons(sK57,app(sK58,sK58)),X0)) ),
inference(light_normalisation,[status(thm)],[c_50626,c_43416]) ).
tcf(c_50680,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK58)),X0),sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK58)),sK58))
| ~ ssList(app(cons(sK57,app(sK58,sK58)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50679,c_8915]) ).
tcf(c_50690,plain,
~ rearsegP(sK58,cons(sK57,app(sK58,sK58))),
inference(global_subsumption_just,[status(thm)],[c_43417,c_43215,c_43417]) ).
tcf(c_50692,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ~ ssList(app(app(sK12(cons(sK57,app(sK58,sK59)),sK59),sK59),X0)) ),
inference(superposition,[status(thm)],[c_43445,c_67]) ).
tcf(c_50695,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK12(cons(sK57,app(sK58,sK59)),sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_43445,c_167]) ).
tcf(c_50696,plain,
( ( sK12(cons(sK57,app(sK58,sK59)),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ( cons(sK57,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_43445,c_231]) ).
tcf(c_50697,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ( cons(sK57,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_43445,c_230]) ).
tcf(c_50698,plain,
( frontsegP(cons(sK57,app(sK58,sK59)),sK12(cons(sK57,app(sK58,sK59)),sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_43445,c_382]) ).
tcf(c_50701,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK58,sK59)),sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ( cons(sK57,app(sK58,sK59)) != app(X0,sK59) ) ),
inference(superposition,[status(thm)],[c_43445,c_225]) ).
tcf(c_50702,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ( app(sK12(cons(sK57,app(sK58,sK59)),sK59),X0) != cons(sK57,app(sK58,sK59)) ) ),
inference(superposition,[status(thm)],[c_43445,c_226]) ).
tcf(c_50703,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ~ frontsegP(sK12(cons(sK57,app(sK58,sK59)),sK59),X0) ),
inference(superposition,[status(thm)],[c_43445,c_176]) ).
tcf(c_50704,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ~ memberP(sK12(cons(sK57,app(sK58,sK59)),sK59),X0) ),
inference(superposition,[status(thm)],[c_43445,c_165]) ).
tcf(c_50705,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK58,sK59)),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_43445,c_193]) ).
tcf(c_50706,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_43445,c_186]) ).
tcf(c_50707,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_43445,c_166]) ).
tcf(c_50708,plain,
( ( sK12(cons(sK57,app(sK58,sK59)),sK59) = iPr_def_11 )
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ( cons(sK57,app(sK58,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_43445,c_38527]) ).
tcf(c_50709,plain,
( ( sK12(cons(sK57,app(sK58,sK59)),sK59) = iPr_def_12 )
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ( cons(sK57,app(sK58,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_43445,c_25223]) ).
tcf(c_50710,plain,
( ( sK12(cons(sK57,app(sK58,sK59)),sK59) = nil )
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ( cons(sK57,app(sK58,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_43445,c_25211]) ).
tcf(c_50711,plain,
( frontsegP(cons(sK57,app(sK58,sK59)),sK12(cons(sK57,app(sK58,sK59)),sK59))
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50698,c_8916]) ).
tcf(c_50714,plain,
( ( nil = sK59 )
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ( cons(sK57,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50697,c_8916]) ).
tcf(c_50718,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50707,c_8916]) ).
tcf(c_50733,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK58,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50705,c_8916]) ).
tcf(c_50739,plain,
( ( sK12(cons(sK57,app(sK58,sK59)),sK59) = nil )
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ( cons(sK57,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50696,c_8916]) ).
tcf(c_50743,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ~ memberP(sK12(cons(sK57,app(sK58,sK59)),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50704,c_8916]) ).
tcf(c_50748,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ~ frontsegP(sK12(cons(sK57,app(sK58,sK59)),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50703,c_8916]) ).
tcf(c_50753,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK12(cons(sK57,app(sK58,sK59)),sK59),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50695,c_8916]) ).
tcf(c_50759,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ( app(sK12(cons(sK57,app(sK58,sK59)),sK59),X0) != cons(sK57,app(sK58,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50702,c_8916]) ).
tcf(c_50764,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK58,sK59)),sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ( cons(sK57,app(sK58,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50701,c_8916]) ).
tcf(c_50769,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ~ ssList(app(cons(sK57,app(sK58,sK59)),X0)) ),
inference(light_normalisation,[status(thm)],[c_50692,c_43445]) ).
tcf(c_50770,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK59)),sK59))
| ~ ssList(app(cons(sK57,app(sK58,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50769,c_8916]) ).
tcf(c_50815,plain,
~ rearsegP(sK59,cons(sK57,app(sK58,sK59))),
inference(global_subsumption_just,[status(thm)],[c_43446,c_38364,c_38363,c_39381,c_42438,c_42445]) ).
tcf(c_50821,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK58),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(sK12(cons(sK57,sK58),sK58))
| ~ frontsegP(sK12(cons(sK57,sK58),sK58),X0) ),
inference(superposition,[status(thm)],[c_44555,c_173]) ).
tcf(c_50822,plain,
( ( sK12(cons(sK57,sK58),sK58) = cons(sK57,sK58) )
| ~ ssList(cons(sK57,sK58))
| ~ ssList(sK12(cons(sK57,sK58),sK58))
| ~ frontsegP(sK12(cons(sK57,sK58),sK58),cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_44555,c_174]) ).
tcf(c_50823,plain,
( ( app(sK12(cons(sK57,sK58),sK58),sK11(cons(sK57,sK58),sK12(cons(sK57,sK58),sK58))) = cons(sK57,sK58) )
| ~ ssList(cons(sK57,sK58))
| ~ ssList(sK12(cons(sK57,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_44555,c_63]) ).
tcf(c_50825,plain,
( ( app(sK12(cons(sK57,sK58),sK58),sK11(cons(sK57,sK58),sK12(cons(sK57,sK58),sK58))) = cons(sK57,sK58) )
| ~ ssList(sK12(cons(sK57,sK58),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50823,c_42438]) ).
tcf(c_50828,plain,
( ( sK12(cons(sK57,sK58),sK58) = cons(sK57,sK58) )
| ~ ssList(sK12(cons(sK57,sK58),sK58))
| ~ frontsegP(sK12(cons(sK57,sK58),sK58),cons(sK57,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50822,c_42438]) ).
tcf(c_50838,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK59,sK56)),X0),cons(X0,sK9(cons(sK57,app(sK59,sK56)),X0))) = cons(sK57,app(sK59,sK56)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_45385,c_57]) ).
tcf(c_50839,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK59,sK56)),X0)) = sK8(cons(sK57,app(sK59,sK56)),X0) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_45385,c_12510]) ).
tcf(c_50840,plain,
! [X0: $i] :
( memberP(app(sK59,sK56),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ memberP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_45385,c_170]) ).
tcf(c_50841,plain,
! [X0: $i] :
( memberP(app(sK59,sK56),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50840,c_8914]) ).
tcf(c_50847,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK59,sK56)),X0)) = sK8(cons(sK57,app(sK59,sK56)),X0) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50839,c_45369]) ).
tcf(c_50851,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK59,sK56)),X0),cons(X0,sK9(cons(sK57,app(sK59,sK56)),X0))) = cons(sK57,app(sK59,sK56)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50838,c_45369]) ).
tcf(c_50864,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK59,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_45389,c_173]) ).
tcf(c_50865,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK56)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK56)))
| ~ frontsegP(X0,cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_45389,c_174]) ).
tcf(c_50866,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK59,sK56)),X0)) = cons(sK57,app(sK59,sK56)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK59),X0)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_45389,c_63]) ).
tcf(c_50867,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK59),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_45389,c_178]) ).
tcf(c_50868,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK59,sK56),X1)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK59),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_45389,c_179]) ).
tcf(c_50870,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK59,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50864,c_45369]) ).
tcf(c_50876,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK59),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50867,c_8914]) ).
tcf(c_50883,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK59,sK56),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK59),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50868,c_8914]) ).
tcf(c_50890,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK59,sK56)),X0)) = cons(sK57,app(sK59,sK56)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50866,c_45369]) ).
tcf(c_50894,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK56)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK59),X0)
| ~ frontsegP(X0,cons(sK57,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50865,c_45369]) ).
tcf(c_50910,plain,
( ssItem(hd(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_15768,c_219]) ).
tcf(c_50919,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK60,sK8(X0,X1))) = sK60 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_18952]) ).
tcf(c_50920,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK60,sK9(X0,X1))) = sK60 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_18952]) ).
tcf(c_50921,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK60,app(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_18952]) ).
tcf(c_50922,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK60,sK11(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_18952]) ).
tcf(c_50923,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK60,sK12(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_18952]) ).
tcf(c_50924,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK60,sK13(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_18952]) ).
tcf(c_50925,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK60,sK14(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_18952]) ).
tcf(c_50935,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK60,sK34(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_18952]) ).
tcf(c_50936,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK60,sK33(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_18952]) ).
tcf(c_50937,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(cons(sK60,sK32(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_18952]) ).
tcf(c_50938,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK60,sK39(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_18952]) ).
tcf(c_50939,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK60,sK38(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_18952]) ).
tcf(c_50940,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(cons(sK60,sK37(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_18952]) ).
tcf(c_50941,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK60,sK44(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_18952]) ).
tcf(c_50942,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK60,sK43(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_18952]) ).
tcf(c_50943,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(cons(sK60,sK42(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_18952]) ).
tcf(c_50944,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK60,sK48(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_18952]) ).
tcf(c_50945,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(cons(sK60,sK47(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_18952]) ).
tcf(c_50946,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(sK60,cons(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_18952]) ).
tcf(c_50947,plain,
hd(cons(sK60,nil)) = sK60,
inference(superposition,[status(thm)],[c_141,c_18952]) ).
tcf(c_50948,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK60,sK49(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_18952]) ).
tcf(c_50949,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK60,tl(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_18952]) ).
tcf(c_50950,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(sK60,sK52(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_18952]) ).
tcf(c_50951,plain,
hd(cons(sK60,sK59)) = sK60,
inference(superposition,[status(thm)],[c_8916,c_18952]) ).
tcf(c_50952,plain,
hd(cons(sK60,sK58)) = sK60,
inference(superposition,[status(thm)],[c_8915,c_18952]) ).
tcf(c_50953,plain,
hd(cons(sK60,sK56)) = sK60,
inference(superposition,[status(thm)],[c_8907,c_18952]) ).
tcf(c_50954,plain,
hd(cons(sK60,iPr_def_12)) = sK60,
inference(superposition,[status(thm)],[c_12842,c_18952]) ).
tcf(c_50955,plain,
hd(cons(sK60,iPr_def_11)) = sK60,
inference(superposition,[status(thm)],[c_12706,c_18952]) ).
tcf(c_50956,plain,
hd(cons(sK60,iPr_def_10)) = sK60,
inference(superposition,[status(thm)],[c_18245,c_18952]) ).
tcf(c_50957,plain,
hd(cons(sK60,cons(sK57,sK59))) = sK60,
inference(superposition,[status(thm)],[c_38491,c_18952]) ).
tcf(c_50958,plain,
hd(cons(sK60,cons(sK57,sK58))) = sK60,
inference(superposition,[status(thm)],[c_42438,c_18952]) ).
tcf(c_50959,plain,
hd(cons(sK60,cons(sK57,sK56))) = sK60,
inference(superposition,[status(thm)],[c_45721,c_18952]) ).
tcf(c_50960,plain,
( ( nil = sK59 )
| ( hd(cons(sK60,tl(sK59))) = sK60 ) ),
inference(superposition,[status(thm)],[c_15329,c_18952]) ).
tcf(c_50961,plain,
( ( nil = sK58 )
| ( hd(cons(sK60,tl(sK58))) = sK60 ) ),
inference(superposition,[status(thm)],[c_15365,c_18952]) ).
tcf(c_50963,plain,
hd(cons(sK60,tl(iPr_def_12))) = sK60,
inference(superposition,[status(thm)],[c_19014,c_18952]) ).
tcf(c_50964,plain,
hd(cons(sK60,cons(sK57,app(sK59,sK59)))) = sK60,
inference(superposition,[status(thm)],[c_38541,c_18952]) ).
tcf(c_50965,plain,
hd(cons(sK60,cons(sK57,app(sK58,sK59)))) = sK60,
inference(superposition,[status(thm)],[c_42487,c_18952]) ).
tcf(c_50966,plain,
hd(cons(sK60,cons(sK57,app(sK56,sK59)))) = sK60,
inference(superposition,[status(thm)],[c_45773,c_18952]) ).
tcf(c_50967,plain,
hd(cons(sK60,cons(sK57,app(sK59,sK58)))) = sK60,
inference(superposition,[status(thm)],[c_41763,c_18952]) ).
tcf(c_50968,plain,
hd(cons(sK60,cons(sK57,app(sK58,sK58)))) = sK60,
inference(superposition,[status(thm)],[c_43212,c_18952]) ).
tcf(c_50969,plain,
hd(cons(sK60,cons(sK57,app(sK56,sK58)))) = sK60,
inference(superposition,[status(thm)],[c_45770,c_18952]) ).
tcf(c_50970,plain,
hd(cons(sK60,cons(sK57,app(sK59,sK56)))) = sK60,
inference(superposition,[status(thm)],[c_45369,c_18952]) ).
tcf(c_50971,plain,
hd(cons(sK60,cons(sK57,app(sK58,sK56)))) = sK60,
inference(superposition,[status(thm)],[c_46410,c_18952]) ).
tcf(c_50972,plain,
hd(cons(sK60,cons(sK57,app(sK56,sK56)))) = sK60,
inference(superposition,[status(thm)],[c_46972,c_18952]) ).
tcf(c_50973,plain,
hd(iPr_def_10) = sK60,
inference(light_normalisation,[status(thm)],[c_50947,c_8902]) ).
tcf(c_51069,plain,
sK51(iPr_def_10) = sK60,
inference(demodulation,[status(thm)],[c_18268,c_50973]) ).
tcf(c_51144,plain,
! [X0: $i] :
( ( nil = iPr_def_10 )
| ( X0 = iPr_def_10 )
| ( X0 = nil )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ( tl(X0) != tl(iPr_def_10) )
| ( hd(X0) != sK60 ) ),
inference(superposition,[status(thm)],[c_50973,c_223]) ).
tcf(c_51145,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_10))
| ( nil = iPr_def_10 )
| ~ strictorderedP(iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ lt(X0,sK60) ),
inference(superposition,[status(thm)],[c_50973,c_212]) ).
tcf(c_51146,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_10))
| ( nil = iPr_def_10 )
| ~ totalorderedP(iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ leq(X0,sK60) ),
inference(superposition,[status(thm)],[c_50973,c_206]) ).
tcf(c_51147,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_10))
| ~ ssItem(X0)
| ~ leq(X0,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51146,c_18255,c_18249,c_18245]) ).
tcf(c_51151,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_10))
| ~ ssItem(X0)
| ~ lt(X0,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51145,c_18255,c_18248,c_18245]) ).
tcf(c_51155,plain,
! [X0: $i] :
( ( nil = iPr_def_10 )
| ( X0 = iPr_def_10 )
| ( X0 = nil )
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ( tl(X0) != nil )
| ( hd(X0) != sK60 ) ),
inference(light_normalisation,[status(thm)],[c_51144,c_50419]) ).
tcf(c_51156,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( X0 = nil )
| ~ ssList(X0)
| ( tl(X0) != nil )
| ( hd(X0) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51155,c_18255,c_18245]) ).
tcf(c_51167,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,sK59) = nil )
| ( cons(sK60,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK59))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,sK59)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_50951,c_223]) ).
tcf(c_51168,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,sK59)))
| ( cons(sK60,sK59) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,sK59))
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_50951,c_212]) ).
tcf(c_51169,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,sK59)))
| ( cons(sK60,sK59) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,sK59))
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_50951,c_206]) ).
tcf(c_51182,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,sK59) = nil )
| ( cons(sK60,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK59))
| ( tl(X0) != sK59 )
| ( hd(X0) != sK60 ) ),
inference(light_normalisation,[status(thm)],[c_51167,c_50396]) ).
tcf(c_51197,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,sK58) = nil )
| ( cons(sK60,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK58))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,sK58)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_50952,c_223]) ).
tcf(c_51198,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,sK58)))
| ( cons(sK60,sK58) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,sK58))
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_50952,c_212]) ).
tcf(c_51199,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,sK58)))
| ( cons(sK60,sK58) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,sK58))
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_50952,c_206]) ).
tcf(c_51212,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,sK58) = nil )
| ( cons(sK60,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK58))
| ( tl(X0) != sK58 )
| ( hd(X0) != sK60 ) ),
inference(light_normalisation,[status(thm)],[c_51197,c_50397]) ).
tcf(c_51224,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,sK56) = nil )
| ( cons(sK60,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK56))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,sK56)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_50953,c_223]) ).
tcf(c_51225,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,sK56)))
| ( cons(sK60,sK56) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,sK56))
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_50953,c_212]) ).
tcf(c_51226,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,sK56)))
| ( cons(sK60,sK56) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,sK56))
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_50953,c_206]) ).
tcf(c_51239,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,sK56) = nil )
| ( cons(sK60,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK56))
| ( tl(X0) != sK56 )
| ( hd(X0) != sK60 ) ),
inference(light_normalisation,[status(thm)],[c_51224,c_50398]) ).
tcf(c_51281,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ~ ssList(app(app(sK12(cons(sK57,app(sK59,sK56)),sK56),sK56),X0)) ),
inference(superposition,[status(thm)],[c_45651,c_67]) ).
tcf(c_51284,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK12(cons(sK57,app(sK59,sK56)),sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_45651,c_167]) ).
tcf(c_51287,plain,
( frontsegP(cons(sK57,app(sK59,sK56)),sK12(cons(sK57,app(sK59,sK56)),sK56))
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_45651,c_382]) ).
tcf(c_51290,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK59,sK56)),sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ( cons(sK57,app(sK59,sK56)) != app(X0,sK56) ) ),
inference(superposition,[status(thm)],[c_45651,c_225]) ).
tcf(c_51291,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ( app(sK12(cons(sK57,app(sK59,sK56)),sK56),X0) != cons(sK57,app(sK59,sK56)) ) ),
inference(superposition,[status(thm)],[c_45651,c_226]) ).
tcf(c_51292,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ~ frontsegP(sK12(cons(sK57,app(sK59,sK56)),sK56),X0) ),
inference(superposition,[status(thm)],[c_45651,c_176]) ).
tcf(c_51293,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ~ memberP(sK12(cons(sK57,app(sK59,sK56)),sK56),X0) ),
inference(superposition,[status(thm)],[c_45651,c_165]) ).
tcf(c_51294,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK59,sK56)),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_45651,c_193]) ).
tcf(c_51295,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_45651,c_186]) ).
tcf(c_51296,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_45651,c_166]) ).
tcf(c_51298,plain,
( frontsegP(cons(sK57,app(sK59,sK56)),sK12(cons(sK57,app(sK59,sK56)),sK56))
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51287,c_8907]) ).
tcf(c_51304,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ~ memberP(sK12(cons(sK57,app(sK59,sK56)),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51293,c_8907]) ).
tcf(c_51309,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ~ frontsegP(sK12(cons(sK57,app(sK59,sK56)),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51292,c_8907]) ).
tcf(c_51314,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK12(cons(sK57,app(sK59,sK56)),sK56),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51284,c_8907]) ).
tcf(c_51320,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ( app(sK12(cons(sK57,app(sK59,sK56)),sK56),X0) != cons(sK57,app(sK59,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51291,c_8907]) ).
tcf(c_51325,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK59,sK56)),sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ( cons(sK57,app(sK59,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51290,c_8907]) ).
tcf(c_51330,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ~ ssList(app(cons(sK57,app(sK59,sK56)),X0)) ),
inference(light_normalisation,[status(thm)],[c_51281,c_45651]) ).
tcf(c_51331,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK59,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ~ ssList(app(cons(sK57,app(sK59,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51330,c_8907]) ).
tcf(c_51341,plain,
~ rearsegP(sK56,cons(sK57,app(sK59,sK56))),
inference(global_subsumption_just,[status(thm)],[c_45652,c_45372,c_45652]) ).
tcf(c_51349,plain,
( ( nil = sK56 )
| ~ ssList(nil)
| ( cons(sK57,sK56) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_12738,c_45750]) ).
tcf(c_51350,plain,
( ( sK11(iPr_def_11,iPr_def_11) = sK56 )
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ( cons(sK57,sK56) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_17806,c_45750]) ).
tcf(c_51351,plain,
( ( sK59 = sK56 )
| ~ ssList(sK59)
| ( cons(sK57,sK59) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_37883,c_45750]) ).
tcf(c_51352,plain,
( ( sK58 = sK56 )
| ~ ssList(sK58)
| ( cons(sK57,sK58) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_41528,c_45750]) ).
tcf(c_51354,plain,
( ( nil = sK56 )
| ( cons(sK57,sK56) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51349,c_141]) ).
tcf(c_51370,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ~ ssList(cons(sK57,sK59))
| ( cons(sK57,app(sK59,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45006,c_45754]) ).
tcf(c_51371,plain,
( ( cons(sK57,sK58) = iPr_def_11 )
| ~ ssList(cons(sK57,sK58))
| ( cons(sK57,app(sK58,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45007,c_45754]) ).
tcf(c_51372,plain,
( ( cons(sK57,sK56) = iPr_def_11 )
| ~ ssList(cons(sK57,sK56))
| ( cons(sK57,app(sK56,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45008,c_45754]) ).
tcf(c_51374,plain,
( ( sK12(cons(sK57,app(sK59,sK56)),sK56) = iPr_def_11 )
| ~ ssList(sK12(cons(sK57,app(sK59,sK56)),sK56))
| ( cons(sK57,app(sK59,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45651,c_45754]) ).
tcf(c_51375,plain,
( ( sK12(cons(sK57,sK56),sK56) = iPr_def_11 )
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_45983,c_45754]) ).
tcf(c_51378,plain,
( ( cons(sK57,sK56) = iPr_def_11 )
| ( cons(sK57,app(sK56,sK56)) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51372,c_45721]) ).
tcf(c_51381,plain,
( ( cons(sK57,sK58) = iPr_def_11 )
| ( cons(sK57,app(sK58,sK56)) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51371,c_42438]) ).
tcf(c_51384,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ( cons(sK57,app(sK59,sK56)) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51370,c_38491]) ).
tcf(c_51396,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK58,sK56)),X0),cons(X0,sK9(cons(sK57,app(sK58,sK56)),X0))) = cons(sK57,app(sK58,sK56)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK58),X0)
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_46426,c_57]) ).
tcf(c_51397,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK58,sK56)),X0)) = sK8(cons(sK57,app(sK58,sK56)),X0) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK58),X0)
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_46426,c_12510]) ).
tcf(c_51398,plain,
! [X0: $i] :
( memberP(app(sK58,sK56),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ memberP(cons(sK57,sK58),X0) ),
inference(superposition,[status(thm)],[c_46426,c_170]) ).
tcf(c_51399,plain,
! [X0: $i] :
( memberP(app(sK58,sK56),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ memberP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51398,c_8914]) ).
tcf(c_51405,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK58,sK56)),X0)) = sK8(cons(sK57,app(sK58,sK56)),X0) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51397,c_46410]) ).
tcf(c_51409,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK58,sK56)),X0),cons(X0,sK9(cons(sK57,app(sK58,sK56)),X0))) = cons(sK57,app(sK58,sK56)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51396,c_46410]) ).
tcf(c_51433,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK58,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK58),X0)
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_46430,c_173]) ).
tcf(c_51434,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK56)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK58),X0)
| ~ ssList(cons(sK57,app(sK58,sK56)))
| ~ frontsegP(X0,cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_46430,c_174]) ).
tcf(c_51435,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK58,sK56)),X0)) = cons(sK57,app(sK58,sK56)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK58),X0)
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_46430,c_63]) ).
tcf(c_51436,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK58),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_46430,c_178]) ).
tcf(c_51437,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK58,sK56),X1)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK58),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_46430,c_179]) ).
tcf(c_51439,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK58,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51433,c_46410]) ).
tcf(c_51445,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK58),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51436,c_8914]) ).
tcf(c_51452,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK58,sK56),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK58),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51437,c_8914]) ).
tcf(c_51459,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK58,sK56)),X0)) = cons(sK57,app(sK58,sK56)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51435,c_46410]) ).
tcf(c_51463,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK56)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK58),X0)
| ~ frontsegP(X0,cons(sK57,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51434,c_46410]) ).
tcf(c_51493,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56))
| ~ ssList(app(app(sK12(cons(sK57,app(sK58,sK56)),sK56),sK56),X0)) ),
inference(superposition,[status(thm)],[c_46883,c_67]) ).
tcf(c_51496,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK12(cons(sK57,app(sK58,sK56)),sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_46883,c_167]) ).
tcf(c_51499,plain,
( frontsegP(cons(sK57,app(sK58,sK56)),sK12(cons(sK57,app(sK58,sK56)),sK56))
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_46883,c_382]) ).
tcf(c_51502,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK58,sK56)),sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56))
| ( cons(sK57,app(sK58,sK56)) != app(X0,sK56) ) ),
inference(superposition,[status(thm)],[c_46883,c_225]) ).
tcf(c_51503,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56))
| ( app(sK12(cons(sK57,app(sK58,sK56)),sK56),X0) != cons(sK57,app(sK58,sK56)) ) ),
inference(superposition,[status(thm)],[c_46883,c_226]) ).
tcf(c_51504,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56))
| ~ frontsegP(sK12(cons(sK57,app(sK58,sK56)),sK56),X0) ),
inference(superposition,[status(thm)],[c_46883,c_176]) ).
tcf(c_51505,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56))
| ~ memberP(sK12(cons(sK57,app(sK58,sK56)),sK56),X0) ),
inference(superposition,[status(thm)],[c_46883,c_165]) ).
tcf(c_51506,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK58,sK56)),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_46883,c_193]) ).
tcf(c_51507,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_46883,c_186]) ).
tcf(c_51508,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_46883,c_166]) ).
tcf(c_51509,plain,
( ( sK12(cons(sK57,app(sK58,sK56)),sK56) = iPr_def_11 )
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56))
| ( cons(sK57,app(sK58,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_46883,c_45754]) ).
tcf(c_51511,plain,
( frontsegP(cons(sK57,app(sK58,sK56)),sK12(cons(sK57,app(sK58,sK56)),sK56))
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51499,c_8907]) ).
tcf(c_51520,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56))
| ~ memberP(sK12(cons(sK57,app(sK58,sK56)),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51505,c_8907]) ).
tcf(c_51525,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56))
| ~ frontsegP(sK12(cons(sK57,app(sK58,sK56)),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51504,c_8907]) ).
tcf(c_51530,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK12(cons(sK57,app(sK58,sK56)),sK56),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51496,c_8907]) ).
tcf(c_51536,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56))
| ( app(sK12(cons(sK57,app(sK58,sK56)),sK56),X0) != cons(sK57,app(sK58,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51503,c_8907]) ).
tcf(c_51541,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK58,sK56)),sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56))
| ( cons(sK57,app(sK58,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51502,c_8907]) ).
tcf(c_51546,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56))
| ~ ssList(app(cons(sK57,app(sK58,sK56)),X0)) ),
inference(light_normalisation,[status(thm)],[c_51493,c_46883]) ).
tcf(c_51547,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK58,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK58,sK56)),sK56))
| ~ ssList(app(cons(sK57,app(sK58,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51546,c_8907]) ).
tcf(c_51624,plain,
! [X0: $i] :
( segmentP(app(tl(sK56),X0),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ ssList(app(app(tl(sK56),nil),X0)) ),
inference(superposition,[status(thm)],[c_15770,c_67]) ).
tcf(c_51630,plain,
( frontsegP(tl(sK56),tl(sK56))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_15770,c_382]) ).
tcf(c_51631,plain,
( rearsegP(tl(sK56),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_15770,c_379]) ).
tcf(c_51633,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( tl(sK56) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ( app(X0,nil) != tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15770,c_225]) ).
tcf(c_51634,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ( app(tl(sK56),X0) != tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15770,c_226]) ).
tcf(c_51637,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(sK56),X1),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_15770,c_193]) ).
tcf(c_51638,plain,
! [X0: $i] :
( rearsegP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ rearsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_15770,c_186]) ).
tcf(c_51639,plain,
! [X0: $i] :
( memberP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_15770,c_166]) ).
tcf(c_51643,plain,
( rearsegP(tl(sK56),nil)
| ( nil = sK56 )
| ~ ssList(tl(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51631,c_141]) ).
tcf(c_51647,plain,
( frontsegP(tl(sK56),tl(sK56))
| ( nil = sK56 )
| ~ ssList(tl(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51630,c_141]) ).
tcf(c_51651,plain,
! [X0: $i] :
( memberP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssItem(X0)
| ~ ssList(tl(sK56))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51639,c_141]) ).
tcf(c_51657,plain,
! [X0: $i] :
( rearsegP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51638,c_141]) ).
tcf(c_51663,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(sK56),X1),X0)
| ( nil = sK56 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51637,c_141]) ).
tcf(c_51670,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ( app(tl(sK56),X0) != tl(sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51634,c_141]) ).
tcf(c_51676,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( tl(sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ( app(X0,nil) != tl(sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51633,c_141]) ).
tcf(c_51682,plain,
! [X0: $i] :
( segmentP(app(tl(sK56),X0),nil)
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ ssList(app(app(tl(sK56),nil),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51624,c_141]) ).
tcf(c_51750,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_11,sK8(X0,X1))) = sK57 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_19198]) ).
tcf(c_51751,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_11,sK9(X0,X1))) = sK57 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_19198]) ).
tcf(c_51752,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_11,app(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_19198]) ).
tcf(c_51753,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_11,sK11(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_19198]) ).
tcf(c_51754,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_11,sK12(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_19198]) ).
tcf(c_51755,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_11,sK13(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_19198]) ).
tcf(c_51756,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_11,sK14(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_19198]) ).
tcf(c_51766,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_11,sK34(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_19198]) ).
tcf(c_51767,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_11,sK33(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_19198]) ).
tcf(c_51768,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_11,sK32(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_19198]) ).
tcf(c_51769,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_11,sK39(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_19198]) ).
tcf(c_51770,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_11,sK38(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_19198]) ).
tcf(c_51771,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_11,sK37(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_19198]) ).
tcf(c_51772,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_11,sK44(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_19198]) ).
tcf(c_51773,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_11,sK43(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_19198]) ).
tcf(c_51774,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_11,sK42(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_19198]) ).
tcf(c_51775,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(app(iPr_def_11,sK48(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_19198]) ).
tcf(c_51776,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(app(iPr_def_11,sK47(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_19198]) ).
tcf(c_51777,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_11,cons(X0,X1))) = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_19198]) ).
tcf(c_51778,plain,
hd(app(iPr_def_11,nil)) = sK57,
inference(superposition,[status(thm)],[c_141,c_19198]) ).
tcf(c_51779,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_11,sK49(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_19198]) ).
tcf(c_51780,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_11,tl(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_19198]) ).
tcf(c_51781,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_11,sK52(X0))) = sK57 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_19198]) ).
tcf(c_51782,plain,
hd(app(iPr_def_11,sK59)) = sK57,
inference(superposition,[status(thm)],[c_8916,c_19198]) ).
tcf(c_51783,plain,
hd(app(iPr_def_11,sK58)) = sK57,
inference(superposition,[status(thm)],[c_8915,c_19198]) ).
tcf(c_51784,plain,
hd(app(iPr_def_11,sK56)) = sK57,
inference(superposition,[status(thm)],[c_8907,c_19198]) ).
tcf(c_51785,plain,
hd(app(iPr_def_11,iPr_def_12)) = sK57,
inference(superposition,[status(thm)],[c_12842,c_19198]) ).
tcf(c_51786,plain,
hd(app(iPr_def_11,iPr_def_11)) = sK57,
inference(superposition,[status(thm)],[c_12706,c_19198]) ).
tcf(c_51787,plain,
hd(app(iPr_def_11,iPr_def_10)) = sK57,
inference(superposition,[status(thm)],[c_18245,c_19198]) ).
tcf(c_51788,plain,
hd(app(iPr_def_11,cons(sK57,sK59))) = sK57,
inference(superposition,[status(thm)],[c_38491,c_19198]) ).
tcf(c_51789,plain,
hd(app(iPr_def_11,cons(sK57,sK58))) = sK57,
inference(superposition,[status(thm)],[c_42438,c_19198]) ).
tcf(c_51790,plain,
hd(app(iPr_def_11,cons(sK57,sK56))) = sK57,
inference(superposition,[status(thm)],[c_45721,c_19198]) ).
tcf(c_51791,plain,
( ( nil = sK59 )
| ( hd(app(iPr_def_11,tl(sK59))) = sK57 ) ),
inference(superposition,[status(thm)],[c_15329,c_19198]) ).
tcf(c_51792,plain,
( ( nil = sK58 )
| ( hd(app(iPr_def_11,tl(sK58))) = sK57 ) ),
inference(superposition,[status(thm)],[c_15365,c_19198]) ).
tcf(c_51793,plain,
( ( nil = sK56 )
| ( hd(app(iPr_def_11,tl(sK56))) = sK57 ) ),
inference(superposition,[status(thm)],[c_15756,c_19198]) ).
tcf(c_51794,plain,
hd(app(iPr_def_11,tl(iPr_def_12))) = sK57,
inference(superposition,[status(thm)],[c_19014,c_19198]) ).
tcf(c_51795,plain,
hd(app(iPr_def_11,cons(sK57,app(sK59,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_38541,c_19198]) ).
tcf(c_51796,plain,
hd(app(iPr_def_11,cons(sK57,app(sK58,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_42487,c_19198]) ).
tcf(c_51797,plain,
hd(app(iPr_def_11,cons(sK57,app(sK56,sK59)))) = sK57,
inference(superposition,[status(thm)],[c_45773,c_19198]) ).
tcf(c_51798,plain,
hd(app(iPr_def_11,cons(sK57,app(sK59,sK58)))) = sK57,
inference(superposition,[status(thm)],[c_41763,c_19198]) ).
tcf(c_51799,plain,
hd(app(iPr_def_11,cons(sK57,app(sK58,sK58)))) = sK57,
inference(superposition,[status(thm)],[c_43212,c_19198]) ).
tcf(c_51800,plain,
hd(app(iPr_def_11,cons(sK57,app(sK56,sK58)))) = sK57,
inference(superposition,[status(thm)],[c_45770,c_19198]) ).
tcf(c_51801,plain,
hd(app(iPr_def_11,cons(sK57,app(sK59,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_45369,c_19198]) ).
tcf(c_51802,plain,
hd(app(iPr_def_11,cons(sK57,app(sK58,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_46410,c_19198]) ).
tcf(c_51803,plain,
hd(app(iPr_def_11,cons(sK57,app(sK56,sK56)))) = sK57,
inference(superposition,[status(thm)],[c_46972,c_19198]) ).
tcf(c_52209,plain,
( frontsegP(iPr_def_10,sK58)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_13623,c_20773]) ).
tcf(c_52212,plain,
frontsegP(iPr_def_10,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_52209,c_8915]) ).
tcf(c_52222,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0) ),
inference(superposition,[status(thm)],[c_52212,c_173]) ).
tcf(c_52223,plain,
( ( sK58 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ frontsegP(sK58,iPr_def_10) ),
inference(superposition,[status(thm)],[c_52212,c_174]) ).
tcf(c_52224,plain,
( ( app(sK58,sK11(iPr_def_10,sK58)) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_52212,c_63]) ).
tcf(c_52225,plain,
app(sK58,sK11(iPr_def_10,sK58)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_52224,c_18245,c_8915]) ).
tcf(c_52226,plain,
( ( sK58 = iPr_def_10 )
| ~ frontsegP(sK58,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52223,c_18245,c_8915]) ).
tcf(c_52229,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52222,c_18245,c_8915]) ).
tcf(c_52277,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,iPr_def_12) = nil )
| ( cons(sK60,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_12))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,iPr_def_12)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_50954,c_223]) ).
tcf(c_52278,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,iPr_def_12)))
| ( cons(sK60,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,iPr_def_12))
| ~ ssList(cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_50954,c_212]) ).
tcf(c_52279,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,iPr_def_12)))
| ( cons(sK60,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,iPr_def_12))
| ~ ssList(cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_50954,c_206]) ).
tcf(c_52292,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,iPr_def_12) = nil )
| ( cons(sK60,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_12))
| ( tl(X0) != iPr_def_12 )
| ( hd(X0) != sK60 ) ),
inference(light_normalisation,[status(thm)],[c_52277,c_50399]) ).
tcf(c_52304,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,iPr_def_11) = nil )
| ( cons(sK60,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_11))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,iPr_def_11)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_50955,c_223]) ).
tcf(c_52305,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,iPr_def_11)))
| ( cons(sK60,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,iPr_def_11))
| ~ ssList(cons(sK60,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_50955,c_212]) ).
tcf(c_52306,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,iPr_def_11)))
| ( cons(sK60,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,iPr_def_11))
| ~ ssList(cons(sK60,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_50955,c_206]) ).
tcf(c_52319,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,iPr_def_11) = nil )
| ( cons(sK60,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_11))
| ( tl(X0) != iPr_def_11 )
| ( hd(X0) != sK60 ) ),
inference(light_normalisation,[status(thm)],[c_52304,c_50400]) ).
tcf(c_52331,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,iPr_def_10) = nil )
| ( cons(sK60,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_10))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,iPr_def_10)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_50956,c_223]) ).
tcf(c_52332,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,iPr_def_10)))
| ( cons(sK60,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,iPr_def_10))
| ~ ssList(cons(sK60,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_50956,c_212]) ).
tcf(c_52333,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,iPr_def_10)))
| ( cons(sK60,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,iPr_def_10))
| ~ ssList(cons(sK60,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_50956,c_206]) ).
tcf(c_52346,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,iPr_def_10) = nil )
| ( cons(sK60,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_10))
| ( tl(X0) != iPr_def_10 )
| ( hd(X0) != sK60 ) ),
inference(light_normalisation,[status(thm)],[c_52331,c_50401]) ).
tcf(c_52356,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK11(iPr_def_10,sK58))
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,sK58))
| ~ ssList(app(app(sK58,sK11(iPr_def_10,sK58)),X0)) ),
inference(superposition,[status(thm)],[c_52225,c_67]) ).
tcf(c_52359,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK11(iPr_def_10,sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(superposition,[status(thm)],[c_52225,c_167]) ).
tcf(c_52363,plain,
( rearsegP(iPr_def_10,sK11(iPr_def_10,sK58))
| ~ ssList(sK58)
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(superposition,[status(thm)],[c_52225,c_379]) ).
tcf(c_52365,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,sK58))
| ( app(X0,sK11(iPr_def_10,sK58)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_52225,c_225]) ).
tcf(c_52366,plain,
! [X0: $i] :
( ( sK11(iPr_def_10,sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,sK58))
| ( app(sK58,X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_52225,c_226]) ).
tcf(c_52367,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(superposition,[status(thm)],[c_52225,c_176]) ).
tcf(c_52368,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(superposition,[status(thm)],[c_52225,c_165]) ).
tcf(c_52369,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,sK58))
| ~ segmentP(sK11(iPr_def_10,sK58),X0) ),
inference(superposition,[status(thm)],[c_52225,c_193]) ).
tcf(c_52370,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,sK58))
| ~ rearsegP(sK11(iPr_def_10,sK58),X0) ),
inference(superposition,[status(thm)],[c_52225,c_186]) ).
tcf(c_52371,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_10,sK58))
| ~ memberP(sK11(iPr_def_10,sK58),X0) ),
inference(superposition,[status(thm)],[c_52225,c_166]) ).
tcf(c_52372,plain,
( ( sK11(iPr_def_10,sK58) = iPr_def_11 )
| ~ ssList(sK11(iPr_def_10,sK58))
| ( iPr_def_10 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_52225,c_25944]) ).
tcf(c_52373,plain,
( ( sK11(iPr_def_10,sK58) = nil )
| ~ ssList(sK11(iPr_def_10,sK58))
| ( sK58 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_52225,c_25912]) ).
tcf(c_52374,plain,
( segmentP(iPr_def_10,sK58)
| ~ ssList(sK11(iPr_def_10,sK58))
| ~ ssList(app(sK58,sK11(iPr_def_10,sK58))) ),
inference(superposition,[status(thm)],[c_52225,c_26286]) ).
tcf(c_52375,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(superposition,[status(thm)],[c_52225,c_26867]) ).
tcf(c_52377,plain,
( rearsegP(iPr_def_10,sK11(iPr_def_10,sK58))
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52363,c_8915]) ).
tcf(c_52384,plain,
( segmentP(iPr_def_10,sK58)
| ~ ssList(iPr_def_10)
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(light_normalisation,[status(thm)],[c_52374,c_52225]) ).
tcf(c_52385,plain,
( segmentP(iPr_def_10,sK58)
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52384,c_18245]) ).
tcf(c_52394,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52368,c_8915]) ).
tcf(c_52400,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(iPr_def_10,sK58))
| ~ memberP(sK11(iPr_def_10,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52371,c_8915]) ).
tcf(c_52405,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,sK58))
| ~ rearsegP(sK11(iPr_def_10,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52370,c_8915]) ).
tcf(c_52410,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK11(iPr_def_10,sK58),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52359,c_8915]) ).
tcf(c_52416,plain,
! [X0: $i] :
( ( sK11(iPr_def_10,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,sK58))
| ( app(sK58,X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52366,c_8915]) ).
tcf(c_52421,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,sK58))
| ( app(X0,sK11(iPr_def_10,sK58)) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52365,c_8915]) ).
tcf(c_52426,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,sK58))
| ~ segmentP(sK11(iPr_def_10,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52369,c_8915]) ).
tcf(c_52432,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK11(iPr_def_10,sK58))
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,sK58))
| ~ ssList(app(iPr_def_10,X0)) ),
inference(light_normalisation,[status(thm)],[c_52356,c_52225]) ).
tcf(c_52433,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK11(iPr_def_10,sK58))
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,sK58))
| ~ ssList(app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52432,c_8915]) ).
tcf(c_52459,plain,
( frontsegP(iPr_def_10,sK12(sK58,sK58))
| ~ ssList(sK12(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_18518,c_52229]) ).
tcf(c_52460,plain,
( frontsegP(iPr_def_10,sK12(sK58,nil))
| ~ ssList(sK12(sK58,nil)) ),
inference(superposition,[status(thm)],[c_18578,c_52229]) ).
tcf(c_52469,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,sK58))
| ~ rearsegP(sK11(iPr_def_10,sK58),X0) ),
inference(superposition,[status(thm)],[c_52377,c_183]) ).
tcf(c_52470,plain,
( ( sK11(iPr_def_10,sK58) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK11(iPr_def_10,sK58))
| ~ rearsegP(sK11(iPr_def_10,sK58),iPr_def_10) ),
inference(superposition,[status(thm)],[c_52377,c_184]) ).
tcf(c_52471,plain,
( ( app(sK12(iPr_def_10,sK11(iPr_def_10,sK58)),sK11(iPr_def_10,sK58)) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(superposition,[status(thm)],[c_52377,c_66]) ).
tcf(c_52472,plain,
( ( app(sK12(iPr_def_10,sK11(iPr_def_10,sK58)),sK11(iPr_def_10,sK58)) = iPr_def_10 )
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52471,c_18245]) ).
tcf(c_52475,plain,
( ( sK11(iPr_def_10,sK58) = iPr_def_10 )
| ~ ssList(sK11(iPr_def_10,sK58))
| ~ rearsegP(sK11(iPr_def_10,sK58),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52470,c_18245]) ).
tcf(c_52522,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(global_subsumption_just,[status(thm)],[c_52394,c_18376,c_22007]) ).
tcf(c_52533,plain,
~ rearsegP(sK56,cons(sK57,app(sK58,sK56))),
inference(global_subsumption_just,[status(thm)],[c_46884,c_46413,c_46884]) ).
tcf(c_52541,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK56,sK56)),X0),cons(X0,sK9(cons(sK57,app(sK56,sK56)),X0))) = cons(sK57,app(sK56,sK56)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_46988,c_57]) ).
tcf(c_52542,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK56,sK56)),X0)) = sK8(cons(sK57,app(sK56,sK56)),X0) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_46988,c_12510]) ).
tcf(c_52543,plain,
! [X0: $i] :
( memberP(app(sK56,sK56),X0)
| ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ memberP(cons(sK57,sK56),X0) ),
inference(superposition,[status(thm)],[c_46988,c_170]) ).
tcf(c_52544,plain,
! [X0: $i] :
( memberP(app(sK56,sK56),X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52543,c_8914]) ).
tcf(c_52550,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,app(sK56,sK56)),X0)) = sK8(cons(sK57,app(sK56,sK56)),X0) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52542,c_46972]) ).
tcf(c_52554,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,app(sK56,sK56)),X0),cons(X0,sK9(cons(sK57,app(sK56,sK56)),X0))) = cons(sK57,app(sK56,sK56)) )
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52541,c_46972]) ).
tcf(c_52567,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK56,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_46992,c_173]) ).
tcf(c_52568,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK56)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK56)))
| ~ frontsegP(X0,cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_46992,c_174]) ).
tcf(c_52569,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK56,sK56)),X0)) = cons(sK57,app(sK56,sK56)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK56),X0)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_46992,c_63]) ).
tcf(c_52570,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK56),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_46992,c_178]) ).
tcf(c_52571,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK56,sK56),X1)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK56),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_46992,c_179]) ).
tcf(c_52573,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK57,app(sK56,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52567,c_46972]) ).
tcf(c_52579,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK57 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK56),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52570,c_8914]) ).
tcf(c_52586,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK56,sK56),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ ssList(cons(X0,X1))
| ~ frontsegP(cons(sK57,sK56),cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52571,c_8914]) ).
tcf(c_52593,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK57,app(sK56,sK56)),X0)) = cons(sK57,app(sK56,sK56)) )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52569,c_46972]) ).
tcf(c_52597,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK56)) = X0 )
| ~ ssList(X0)
| ~ frontsegP(cons(sK57,sK56),X0)
| ~ frontsegP(X0,cons(sK57,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52568,c_46972]) ).
tcf(c_52611,plain,
! [X0: $i] :
( segmentP(app(tl(sK56),X0),tl(sK56))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ ssList(app(app(nil,tl(sK56)),X0)) ),
inference(superposition,[status(thm)],[c_15771,c_67]) ).
tcf(c_52617,plain,
( frontsegP(tl(sK56),nil)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_15771,c_382]) ).
tcf(c_52618,plain,
( rearsegP(tl(sK56),tl(sK56))
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_15771,c_379]) ).
tcf(c_52620,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ( app(X0,tl(sK56)) != tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15771,c_225]) ).
tcf(c_52624,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( tl(sK56) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ( app(nil,X0) != tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15771,c_226]) ).
tcf(c_52625,plain,
! [X0: $i] :
( frontsegP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ frontsegP(nil,X0) ),
inference(superposition,[status(thm)],[c_15771,c_176]) ).
tcf(c_52627,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(sK56),X1),X0)
| ( nil = sK56 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ segmentP(tl(sK56),X0) ),
inference(superposition,[status(thm)],[c_15771,c_193]) ).
tcf(c_52630,plain,
( frontsegP(tl(sK56),nil)
| ( nil = sK56 )
| ~ ssList(tl(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52617,c_141]) ).
tcf(c_52634,plain,
( rearsegP(tl(sK56),tl(sK56))
| ( nil = sK56 )
| ~ ssList(tl(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52618,c_141]) ).
tcf(c_52638,plain,
! [X0: $i] :
( frontsegP(tl(sK56),X0)
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52625,c_141]) ).
tcf(c_52644,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( tl(sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ( app(nil,X0) != tl(sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52624,c_141]) ).
tcf(c_52650,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ( app(X0,tl(sK56)) != tl(sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52620,c_141]) ).
tcf(c_52656,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(sK56),X1),X0)
| ( nil = sK56 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ segmentP(tl(sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52627,c_141]) ).
tcf(c_52663,plain,
! [X0: $i] :
( segmentP(app(tl(sK56),X0),tl(sK56))
| ( nil = sK56 )
| ~ ssList(X0)
| ~ ssList(tl(sK56))
| ~ ssList(app(app(nil,tl(sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52611,c_141]) ).
tcf(c_52694,plain,
( ( sK11(iPr_def_12,iPr_def_12) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_12,iPr_def_12))
| ~ rearsegP(sK11(iPr_def_12,iPr_def_12),iPr_def_12) ),
inference(superposition,[status(thm)],[c_28323,c_184]) ).
tcf(c_52695,plain,
( ( app(sK12(iPr_def_12,sK11(iPr_def_12,iPr_def_12)),sK11(iPr_def_12,iPr_def_12)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_28323,c_66]) ).
tcf(c_52696,plain,
( ( app(sK12(iPr_def_12,sK11(iPr_def_12,iPr_def_12)),sK11(iPr_def_12,iPr_def_12)) = iPr_def_12 )
| ~ ssList(sK11(iPr_def_12,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52695,c_12842]) ).
tcf(c_52699,plain,
( ( sK11(iPr_def_12,iPr_def_12) = iPr_def_12 )
| ~ ssList(sK11(iPr_def_12,iPr_def_12))
| ~ rearsegP(sK11(iPr_def_12,iPr_def_12),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52694,c_12842]) ).
tcf(c_52705,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_11,iPr_def_12) = nil )
| ( app(iPr_def_11,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,iPr_def_12))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_11,iPr_def_12)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_51785,c_223]) ).
tcf(c_52706,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_11,iPr_def_12)))
| ( app(iPr_def_11,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_11,iPr_def_12))
| ~ ssList(app(iPr_def_11,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_51785,c_212]) ).
tcf(c_52707,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_11,iPr_def_12)))
| ( app(iPr_def_11,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_11,iPr_def_12))
| ~ ssList(app(iPr_def_11,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_51785,c_206]) ).
tcf(c_52731,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_11,iPr_def_11) = nil )
| ( app(iPr_def_11,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,iPr_def_11))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_11,iPr_def_11)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_51786,c_223]) ).
tcf(c_52732,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_11,iPr_def_11)))
| ( app(iPr_def_11,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_11,iPr_def_11))
| ~ ssList(app(iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_51786,c_212]) ).
tcf(c_52733,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_11,iPr_def_11)))
| ( app(iPr_def_11,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_11,iPr_def_11))
| ~ ssList(app(iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_51786,c_206]) ).
tcf(c_52757,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_11,iPr_def_10) = nil )
| ( app(iPr_def_11,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,iPr_def_10))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_11,iPr_def_10)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_51787,c_223]) ).
tcf(c_52758,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_11,iPr_def_10)))
| ( app(iPr_def_11,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_11,iPr_def_10))
| ~ ssList(app(iPr_def_11,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_51787,c_212]) ).
tcf(c_52759,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_11,iPr_def_10)))
| ( app(iPr_def_11,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_11,iPr_def_10))
| ~ ssList(app(iPr_def_11,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_51787,c_206]) ).
tcf(c_52815,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,tl(iPr_def_12)) = nil )
| ( cons(sK60,tl(iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,tl(iPr_def_12)))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,tl(iPr_def_12))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_50963,c_223]) ).
tcf(c_52816,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,tl(iPr_def_12))))
| ( cons(sK60,tl(iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,tl(iPr_def_12)))
| ~ ssList(cons(sK60,tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_50963,c_212]) ).
tcf(c_52817,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,tl(iPr_def_12))))
| ( cons(sK60,tl(iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,tl(iPr_def_12)))
| ~ ssList(cons(sK60,tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_50963,c_206]) ).
tcf(c_52830,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,tl(iPr_def_12)) = nil )
| ( cons(sK60,tl(iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,tl(iPr_def_12)))
| ( tl(X0) != tl(iPr_def_12) )
| ( hd(X0) != sK60 ) ),
inference(light_normalisation,[status(thm)],[c_52815,c_50409]) ).
tcf(c_52840,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58))
| ~ ssList(app(app(sK12(cons(sK57,app(sK56,sK58)),sK58),sK58),X0)) ),
inference(superposition,[status(thm)],[c_47234,c_67]) ).
tcf(c_52843,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK12(cons(sK57,app(sK56,sK58)),sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58)) ),
inference(superposition,[status(thm)],[c_47234,c_167]) ).
tcf(c_52844,plain,
( ( sK12(cons(sK57,app(sK56,sK58)),sK58) = nil )
| ~ ssList(sK58)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58))
| ( cons(sK57,app(sK56,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_47234,c_231]) ).
tcf(c_52845,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58))
| ( cons(sK57,app(sK56,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_47234,c_230]) ).
tcf(c_52846,plain,
( frontsegP(cons(sK57,app(sK56,sK58)),sK12(cons(sK57,app(sK56,sK58)),sK58))
| ~ ssList(sK58)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58)) ),
inference(superposition,[status(thm)],[c_47234,c_382]) ).
tcf(c_52849,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK56,sK58)),sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58))
| ( cons(sK57,app(sK56,sK58)) != app(X0,sK58) ) ),
inference(superposition,[status(thm)],[c_47234,c_225]) ).
tcf(c_52850,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58))
| ( app(sK12(cons(sK57,app(sK56,sK58)),sK58),X0) != cons(sK57,app(sK56,sK58)) ) ),
inference(superposition,[status(thm)],[c_47234,c_226]) ).
tcf(c_52851,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58))
| ~ frontsegP(sK12(cons(sK57,app(sK56,sK58)),sK58),X0) ),
inference(superposition,[status(thm)],[c_47234,c_176]) ).
tcf(c_52852,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58))
| ~ memberP(sK12(cons(sK57,app(sK56,sK58)),sK58),X0) ),
inference(superposition,[status(thm)],[c_47234,c_165]) ).
tcf(c_52853,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK58)),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58)) ),
inference(superposition,[status(thm)],[c_47234,c_193]) ).
tcf(c_52854,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58)) ),
inference(superposition,[status(thm)],[c_47234,c_186]) ).
tcf(c_52855,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58)) ),
inference(superposition,[status(thm)],[c_47234,c_166]) ).
tcf(c_52856,plain,
( ( sK12(cons(sK57,app(sK56,sK58)),sK58) = iPr_def_11 )
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58))
| ( cons(sK57,app(sK56,sK58)) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_47234,c_42471]) ).
tcf(c_52857,plain,
( ( sK12(cons(sK57,app(sK56,sK58)),sK58) = nil )
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58))
| ( cons(sK57,app(sK56,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_47234,c_25207]) ).
tcf(c_52858,plain,
( frontsegP(cons(sK57,app(sK56,sK58)),sK12(cons(sK57,app(sK56,sK58)),sK58))
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52846,c_8915]) ).
tcf(c_52861,plain,
( ( nil = sK58 )
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58))
| ( cons(sK57,app(sK56,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52845,c_8915]) ).
tcf(c_52865,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52855,c_8915]) ).
tcf(c_52877,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK58)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52853,c_8915]) ).
tcf(c_52883,plain,
( ( sK12(cons(sK57,app(sK56,sK58)),sK58) = nil )
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58))
| ( cons(sK57,app(sK56,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52844,c_8915]) ).
tcf(c_52887,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58))
| ~ memberP(sK12(cons(sK57,app(sK56,sK58)),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52852,c_8915]) ).
tcf(c_52892,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58))
| ~ frontsegP(sK12(cons(sK57,app(sK56,sK58)),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52851,c_8915]) ).
tcf(c_52897,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK12(cons(sK57,app(sK56,sK58)),sK58),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52843,c_8915]) ).
tcf(c_52903,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58))
| ( app(sK12(cons(sK57,app(sK56,sK58)),sK58),X0) != cons(sK57,app(sK56,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52850,c_8915]) ).
tcf(c_52908,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK56,sK58)),sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58))
| ( cons(sK57,app(sK56,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52849,c_8915]) ).
tcf(c_52913,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58))
| ~ ssList(app(cons(sK57,app(sK56,sK58)),X0)) ),
inference(light_normalisation,[status(thm)],[c_52840,c_47234]) ).
tcf(c_52914,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK58)),X0),sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK58)),sK58))
| ~ ssList(app(cons(sK57,app(sK56,sK58)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52913,c_8915]) ).
tcf(c_52927,plain,
~ rearsegP(sK58,cons(sK57,app(sK56,sK58))),
inference(global_subsumption_just,[status(thm)],[c_47235,c_43803,c_43802,c_44612,c_45721,c_45728]) ).
tcf(c_52929,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ~ ssList(app(app(sK12(cons(sK57,app(sK56,sK59)),sK59),sK59),X0)) ),
inference(superposition,[status(thm)],[c_47256,c_67]) ).
tcf(c_52932,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK12(cons(sK57,app(sK56,sK59)),sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_47256,c_167]) ).
tcf(c_52933,plain,
( ( sK12(cons(sK57,app(sK56,sK59)),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_47256,c_231]) ).
tcf(c_52934,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_47256,c_230]) ).
tcf(c_52935,plain,
( frontsegP(cons(sK57,app(sK56,sK59)),sK12(cons(sK57,app(sK56,sK59)),sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_47256,c_382]) ).
tcf(c_52938,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK56,sK59)),sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( cons(sK57,app(sK56,sK59)) != app(X0,sK59) ) ),
inference(superposition,[status(thm)],[c_47256,c_225]) ).
tcf(c_52939,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( app(sK12(cons(sK57,app(sK56,sK59)),sK59),X0) != cons(sK57,app(sK56,sK59)) ) ),
inference(superposition,[status(thm)],[c_47256,c_226]) ).
tcf(c_52940,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ~ frontsegP(sK12(cons(sK57,app(sK56,sK59)),sK59),X0) ),
inference(superposition,[status(thm)],[c_47256,c_176]) ).
tcf(c_52941,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ~ memberP(sK12(cons(sK57,app(sK56,sK59)),sK59),X0) ),
inference(superposition,[status(thm)],[c_47256,c_165]) ).
tcf(c_52942,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK59)),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_47256,c_193]) ).
tcf(c_52943,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_47256,c_186]) ).
tcf(c_52944,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59)) ),
inference(superposition,[status(thm)],[c_47256,c_166]) ).
tcf(c_52945,plain,
( ( sK12(cons(sK57,app(sK56,sK59)),sK59) = iPr_def_11 )
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( cons(sK57,app(sK56,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_47256,c_38527]) ).
tcf(c_52946,plain,
( ( sK12(cons(sK57,app(sK56,sK59)),sK59) = iPr_def_12 )
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( cons(sK57,app(sK56,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_47256,c_25223]) ).
tcf(c_52947,plain,
( ( sK12(cons(sK57,app(sK56,sK59)),sK59) = nil )
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( cons(sK57,app(sK56,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_47256,c_25211]) ).
tcf(c_52948,plain,
( frontsegP(cons(sK57,app(sK56,sK59)),sK12(cons(sK57,app(sK56,sK59)),sK59))
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52935,c_8916]) ).
tcf(c_52951,plain,
( ( nil = sK59 )
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52934,c_8916]) ).
tcf(c_52955,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52944,c_8916]) ).
tcf(c_52970,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52942,c_8916]) ).
tcf(c_52976,plain,
( ( sK12(cons(sK57,app(sK56,sK59)),sK59) = nil )
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( cons(sK57,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52933,c_8916]) ).
tcf(c_52980,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ~ memberP(sK12(cons(sK57,app(sK56,sK59)),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52941,c_8916]) ).
tcf(c_52985,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ~ frontsegP(sK12(cons(sK57,app(sK56,sK59)),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52940,c_8916]) ).
tcf(c_52990,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK12(cons(sK57,app(sK56,sK59)),sK59),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52932,c_8916]) ).
tcf(c_52996,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( app(sK12(cons(sK57,app(sK56,sK59)),sK59),X0) != cons(sK57,app(sK56,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52939,c_8916]) ).
tcf(c_53001,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK56,sK59)),sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ( cons(sK57,app(sK56,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52938,c_8916]) ).
tcf(c_53006,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ~ ssList(app(cons(sK57,app(sK56,sK59)),X0)) ),
inference(light_normalisation,[status(thm)],[c_52929,c_47256]) ).
tcf(c_53007,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK59)),sK59))
| ~ ssList(app(cons(sK57,app(sK56,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53006,c_8916]) ).
tcf(c_53052,plain,
~ rearsegP(sK59,cons(sK57,app(sK56,sK59))),
inference(global_subsumption_just,[status(thm)],[c_47257,c_39109,c_39108,c_40189,c_45721,c_45728]) ).
tcf(c_53054,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ~ ssList(app(app(sK12(cons(sK57,app(sK56,sK56)),sK56),sK56),X0)) ),
inference(superposition,[status(thm)],[c_47293,c_67]) ).
tcf(c_53057,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK12(cons(sK57,app(sK56,sK56)),sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_47293,c_167]) ).
tcf(c_53060,plain,
( frontsegP(cons(sK57,app(sK56,sK56)),sK12(cons(sK57,app(sK56,sK56)),sK56))
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_47293,c_382]) ).
tcf(c_53063,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK56,sK56)),sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ( cons(sK57,app(sK56,sK56)) != app(X0,sK56) ) ),
inference(superposition,[status(thm)],[c_47293,c_225]) ).
tcf(c_53064,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ( app(sK12(cons(sK57,app(sK56,sK56)),sK56),X0) != cons(sK57,app(sK56,sK56)) ) ),
inference(superposition,[status(thm)],[c_47293,c_226]) ).
tcf(c_53065,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ~ frontsegP(sK12(cons(sK57,app(sK56,sK56)),sK56),X0) ),
inference(superposition,[status(thm)],[c_47293,c_176]) ).
tcf(c_53066,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ~ memberP(sK12(cons(sK57,app(sK56,sK56)),sK56),X0) ),
inference(superposition,[status(thm)],[c_47293,c_165]) ).
tcf(c_53067,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,app(sK56,sK56)),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_47293,c_193]) ).
tcf(c_53068,plain,
! [X0: $i] :
( rearsegP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_47293,c_186]) ).
tcf(c_53069,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56)) ),
inference(superposition,[status(thm)],[c_47293,c_166]) ).
tcf(c_53070,plain,
( ( sK12(cons(sK57,app(sK56,sK56)),sK56) = iPr_def_11 )
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ( cons(sK57,app(sK56,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_47293,c_45754]) ).
tcf(c_53072,plain,
( frontsegP(cons(sK57,app(sK56,sK56)),sK12(cons(sK57,app(sK56,sK56)),sK56))
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53060,c_8907]) ).
tcf(c_53081,plain,
! [X0: $i] :
( memberP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ~ memberP(sK12(cons(sK57,app(sK56,sK56)),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53066,c_8907]) ).
tcf(c_53086,plain,
! [X0: $i] :
( frontsegP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ~ frontsegP(sK12(cons(sK57,app(sK56,sK56)),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53065,c_8907]) ).
tcf(c_53091,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK12(cons(sK57,app(sK56,sK56)),sK56),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53057,c_8907]) ).
tcf(c_53097,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ( app(sK12(cons(sK57,app(sK56,sK56)),sK56),X0) != cons(sK57,app(sK56,sK56)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53064,c_8907]) ).
tcf(c_53102,plain,
! [X0: $i] :
( ( sK12(cons(sK57,app(sK56,sK56)),sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ( cons(sK57,app(sK56,sK56)) != app(X0,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53063,c_8907]) ).
tcf(c_53107,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK56)),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ~ ssList(app(cons(sK57,app(sK56,sK56)),X0)) ),
inference(light_normalisation,[status(thm)],[c_53054,c_47293]) ).
tcf(c_53108,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,app(sK56,sK56)),X0),sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,app(sK56,sK56)),sK56))
| ~ ssList(app(cons(sK57,app(sK56,sK56)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53107,c_8907]) ).
tcf(c_53118,plain,
~ rearsegP(sK56,cons(sK57,app(sK56,sK56))),
inference(global_subsumption_just,[status(thm)],[c_47294,c_46975,c_47294]) ).
tcf(c_53124,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(sK12(cons(sK57,sK56),sK56))
| ~ frontsegP(sK12(cons(sK57,sK56),sK56),X0) ),
inference(superposition,[status(thm)],[c_47632,c_173]) ).
tcf(c_53125,plain,
( ( sK12(cons(sK57,sK56),sK56) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56))
| ~ ssList(sK12(cons(sK57,sK56),sK56))
| ~ frontsegP(sK12(cons(sK57,sK56),sK56),cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_47632,c_174]) ).
tcf(c_53126,plain,
( ( app(sK12(cons(sK57,sK56),sK56),sK11(cons(sK57,sK56),sK12(cons(sK57,sK56),sK56))) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56))
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_47632,c_63]) ).
tcf(c_53128,plain,
( ( app(sK12(cons(sK57,sK56),sK56),sK11(cons(sK57,sK56),sK12(cons(sK57,sK56),sK56))) = cons(sK57,sK56) )
| ~ ssList(sK12(cons(sK57,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53126,c_45721]) ).
tcf(c_53131,plain,
( ( sK12(cons(sK57,sK56),sK56) = cons(sK57,sK56) )
| ~ ssList(sK12(cons(sK57,sK56),sK56))
| ~ frontsegP(sK12(cons(sK57,sK56),sK56),cons(sK57,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53125,c_45721]) ).
tcf(c_53143,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_37871,c_38531]) ).
tcf(c_53144,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_41513,c_38531]) ).
tcf(c_53145,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_45006,c_38531]) ).
tcf(c_53146,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(cons(sK57,sK59),X0),X1),X1),sK14(app(cons(sK57,sK59),X0),X1)) = app(cons(sK57,sK59),X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X1)
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(superposition,[status(thm)],[c_38531,c_70]) ).
tcf(c_53147,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(cons(sK57,sK59),X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(superposition,[status(thm)],[c_38531,c_190]) ).
tcf(c_53148,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK57,sK59),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(cons(sK57,sK59),X1))
| ~ segmentP(X0,app(cons(sK57,sK59),X1)) ),
inference(superposition,[status(thm)],[c_38531,c_191]) ).
tcf(c_53149,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53145,c_8907]) ).
tcf(c_53153,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53144,c_8915]) ).
tcf(c_53157,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53143,c_8916]) ).
tcf(c_53191,plain,
( ( sK11(iPr_def_11,iPr_def_11) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_11,iPr_def_11),iPr_def_11) ),
inference(superposition,[status(thm)],[c_28490,c_184]) ).
tcf(c_53192,plain,
( ( app(sK12(iPr_def_11,sK11(iPr_def_11,iPr_def_11)),sK11(iPr_def_11,iPr_def_11)) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK11(iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_28490,c_66]) ).
tcf(c_53193,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_11,iPr_def_11))
| ~ ssList(sK11(iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_28490,c_19075]) ).
tcf(c_53196,plain,
( ( app(sK12(iPr_def_11,sK11(iPr_def_11,iPr_def_11)),sK11(iPr_def_11,iPr_def_11)) = iPr_def_11 )
| ~ ssList(sK11(iPr_def_11,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53192,c_12706]) ).
tcf(c_53199,plain,
( ( sK11(iPr_def_11,iPr_def_11) = iPr_def_11 )
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_11,iPr_def_11),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53191,c_12706]) ).
tcf(c_53212,plain,
rearsegP(nil,sK11(nil,nil)),
inference(global_subsumption_just,[status(thm)],[c_30186,c_141,c_181,c_328,c_30186]) ).
tcf(c_53215,plain,
( ( sK11(nil,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),nil) ),
inference(superposition,[status(thm)],[c_53212,c_184]) ).
tcf(c_53216,plain,
( ( app(sK12(nil,sK11(nil,nil)),sK11(nil,nil)) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_53212,c_66]) ).
tcf(c_53217,plain,
( rearsegP(iPr_def_10,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_53212,c_21171]) ).
tcf(c_53218,plain,
( rearsegP(iPr_def_11,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_53212,c_19059]) ).
tcf(c_53219,plain,
( rearsegP(iPr_def_12,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_53212,c_19055]) ).
tcf(c_53220,plain,
( rearsegP(sK59,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_53212,c_19071]) ).
tcf(c_53221,plain,
( rearsegP(sK58,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_53212,c_19067]) ).
tcf(c_53222,plain,
( rearsegP(sK56,sK11(nil,nil))
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_53212,c_19063]) ).
tcf(c_53236,plain,
( ( app(sK12(nil,sK11(nil,nil)),sK11(nil,nil)) = nil )
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53216,c_141]) ).
tcf(c_53350,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_12,nil))
| ~ rearsegP(sK11(iPr_def_12,nil),X0) ),
inference(superposition,[status(thm)],[c_30271,c_183]) ).
tcf(c_53351,plain,
( ( sK11(iPr_def_12,nil) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_12,nil))
| ~ rearsegP(sK11(iPr_def_12,nil),iPr_def_12) ),
inference(superposition,[status(thm)],[c_30271,c_184]) ).
tcf(c_53352,plain,
( ( app(sK12(iPr_def_12,sK11(iPr_def_12,nil)),sK11(iPr_def_12,nil)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_30271,c_66]) ).
tcf(c_53353,plain,
( ( app(sK12(iPr_def_12,sK11(iPr_def_12,nil)),sK11(iPr_def_12,nil)) = iPr_def_12 )
| ~ ssList(sK11(iPr_def_12,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53352,c_12842]) ).
tcf(c_53356,plain,
( ( sK11(iPr_def_12,nil) = iPr_def_12 )
| ~ ssList(sK11(iPr_def_12,nil))
| ~ rearsegP(sK11(iPr_def_12,nil),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53351,c_12842]) ).
tcf(c_53363,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_11,tl(iPr_def_12)) = nil )
| ( app(iPr_def_11,tl(iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,tl(iPr_def_12)))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_11,tl(iPr_def_12))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_51794,c_223]) ).
tcf(c_53364,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_11,tl(iPr_def_12))))
| ( app(iPr_def_11,tl(iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_11,tl(iPr_def_12)))
| ~ ssList(app(iPr_def_11,tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_51794,c_212]) ).
tcf(c_53365,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_11,tl(iPr_def_12))))
| ( app(iPr_def_11,tl(iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_11,tl(iPr_def_12)))
| ~ ssList(app(iPr_def_11,tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_51794,c_206]) ).
tcf(c_53391,plain,
( segmentP(iPr_def_10,sK58)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ frontsegP(iPr_def_10,sK58) ),
inference(superposition,[status(thm)],[c_62,c_52385]) ).
tcf(c_53392,plain,
segmentP(iPr_def_10,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_53391,c_18245,c_8915,c_52212]) ).
tcf(c_53393,plain,
( ( app(app(sK13(iPr_def_10,sK58),sK58),sK14(iPr_def_10,sK58)) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_53392,c_70]) ).
tcf(c_53394,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_53392,c_190]) ).
tcf(c_53395,plain,
( ( sK58 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ segmentP(sK58,iPr_def_10) ),
inference(superposition,[status(thm)],[c_53392,c_191]) ).
tcf(c_53396,plain,
( ( sK58 = iPr_def_10 )
| ~ segmentP(sK58,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53395,c_18245,c_8915]) ).
tcf(c_53399,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53394,c_18245,c_8915]) ).
tcf(c_53403,plain,
app(app(sK13(iPr_def_10,sK58),sK58),sK14(iPr_def_10,sK58)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_53393,c_18245,c_8915]) ).
tcf(c_53417,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK14(iPr_def_10,sK58))
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_10,sK58))
| ~ ssList(app(sK13(iPr_def_10,sK58),sK58))
| ~ ssList(app(app(app(sK13(iPr_def_10,sK58),sK58),sK14(iPr_def_10,sK58)),X0)) ),
inference(superposition,[status(thm)],[c_53403,c_67]) ).
tcf(c_53420,plain,
! [X0: $i] :
( memberP(sK14(iPr_def_10,sK58),X0)
| memberP(app(sK13(iPr_def_10,sK58),sK58),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(sK14(iPr_def_10,sK58))
| ~ ssList(app(sK13(iPr_def_10,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_53403,c_167]) ).
tcf(c_53423,plain,
( frontsegP(iPr_def_10,app(sK13(iPr_def_10,sK58),sK58))
| ~ ssList(sK14(iPr_def_10,sK58))
| ~ ssList(app(sK13(iPr_def_10,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_53403,c_382]) ).
tcf(c_53424,plain,
( rearsegP(iPr_def_10,sK14(iPr_def_10,sK58))
| ~ ssList(sK14(iPr_def_10,sK58))
| ~ ssList(app(sK13(iPr_def_10,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_53403,c_379]) ).
tcf(c_53426,plain,
! [X0: $i] :
( ( app(sK13(iPr_def_10,sK58),sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_10,sK58))
| ~ ssList(app(sK13(iPr_def_10,sK58),sK58))
| ( app(X0,sK14(iPr_def_10,sK58)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_53403,c_225]) ).
tcf(c_53428,plain,
! [X0: $i] :
( ( sK14(iPr_def_10,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_10,sK58))
| ~ ssList(app(sK13(iPr_def_10,sK58),sK58))
| ( app(app(sK13(iPr_def_10,sK58),sK58),X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_53403,c_226]) ).
tcf(c_53429,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_10,sK58))
| ~ ssList(app(sK13(iPr_def_10,sK58),sK58))
| ~ frontsegP(app(sK13(iPr_def_10,sK58),sK58),X0) ),
inference(superposition,[status(thm)],[c_53403,c_176]) ).
tcf(c_53430,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(iPr_def_10,sK58))
| ~ ssList(app(sK13(iPr_def_10,sK58),sK58))
| ~ memberP(app(sK13(iPr_def_10,sK58),sK58),X0) ),
inference(superposition,[status(thm)],[c_53403,c_165]) ).
tcf(c_53431,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_10,sK58))
| ~ segmentP(sK14(iPr_def_10,sK58),X0)
| ~ ssList(app(sK13(iPr_def_10,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_53403,c_193]) ).
tcf(c_53432,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_10,sK58))
| ~ rearsegP(sK14(iPr_def_10,sK58),X0)
| ~ ssList(app(sK13(iPr_def_10,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_53403,c_186]) ).
tcf(c_53433,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(iPr_def_10,sK58))
| ~ memberP(sK14(iPr_def_10,sK58),X0)
| ~ ssList(app(sK13(iPr_def_10,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_53403,c_166]) ).
tcf(c_53434,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(sK14(iPr_def_10,sK58))
| ~ ssList(sK13(iPr_def_10,sK58)) ),
inference(superposition,[status(thm)],[c_53403,c_193]) ).
tcf(c_53484,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK14(iPr_def_10,sK58))
| ~ ssList(X0)
| ~ ssList(sK14(iPr_def_10,sK58))
| ~ ssList(app(iPr_def_10,X0))
| ~ ssList(app(sK13(iPr_def_10,sK58),sK58)) ),
inference(light_normalisation,[status(thm)],[c_53417,c_53403]) ).
tcf(c_53535,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK59,sK56)),X0),X0),sK14(cons(sK57,app(sK59,sK56)),X0)) = cons(sK57,app(sK59,sK56)) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_53149,c_70]) ).
tcf(c_53536,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK59,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_53149,c_190]) ).
tcf(c_53537,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK56)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,app(sK59,sK56)))
| ~ segmentP(X0,cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_53149,c_191]) ).
tcf(c_53538,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK59,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53536,c_45369]) ).
tcf(c_53544,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK56)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,cons(sK57,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53537,c_45369]) ).
tcf(c_53549,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK59,sK56)),X0),X0),sK14(cons(sK57,app(sK59,sK56)),X0)) = cons(sK57,app(sK59,sK56)) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53535,c_45369]) ).
tcf(c_53562,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK59,sK58)),X0),X0),sK14(cons(sK57,app(sK59,sK58)),X0)) = cons(sK57,app(sK59,sK58)) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_53153,c_70]) ).
tcf(c_53563,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK59,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1)
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_53153,c_190]) ).
tcf(c_53564,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK58)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,app(sK59,sK58)))
| ~ segmentP(X0,cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_53153,c_191]) ).
tcf(c_53565,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK59,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53563,c_41763]) ).
tcf(c_53571,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK58)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,cons(sK57,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53564,c_41763]) ).
tcf(c_53576,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK59,sK58)),X0),X0),sK14(cons(sK57,app(sK59,sK58)),X0)) = cons(sK57,app(sK59,sK58)) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53562,c_41763]) ).
tcf(c_53589,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK59,sK59)),X0),X0),sK14(cons(sK57,app(sK59,sK59)),X0)) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_53157,c_70]) ).
tcf(c_53590,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK59,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_53157,c_190]) ).
tcf(c_53591,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK59)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,app(sK59,sK59)))
| ~ segmentP(X0,cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_53157,c_191]) ).
tcf(c_53592,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK59,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53590,c_38541]) ).
tcf(c_53598,plain,
! [X0: $i] :
( ( cons(sK57,app(sK59,sK59)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,cons(sK57,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53591,c_38541]) ).
tcf(c_53603,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK59,sK59)),X0),X0),sK14(cons(sK57,app(sK59,sK59)),X0)) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53589,c_38541]) ).
tcf(c_53616,plain,
( segmentP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(cons(sK57,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_37871,c_38537]) ).
tcf(c_53617,plain,
( segmentP(cons(sK57,app(sK59,sK58)),sK59)
| ~ ssList(sK58)
| ~ ssList(app(cons(sK57,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_41513,c_38537]) ).
tcf(c_53618,plain,
( segmentP(cons(sK57,app(sK59,sK56)),sK59)
| ~ ssList(sK56)
| ~ ssList(app(cons(sK57,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_45006,c_38537]) ).
tcf(c_53619,plain,
! [X0: $i] :
( ( app(app(sK13(app(cons(sK57,sK59),X0),sK59),sK59),sK14(app(cons(sK57,sK59),X0),sK59)) = app(cons(sK57,sK59),X0) )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(superposition,[status(thm)],[c_38537,c_70]) ).
tcf(c_53620,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK59),X0),X1)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X1)
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(superposition,[status(thm)],[c_38537,c_190]) ).
tcf(c_53621,plain,
! [X0: $i] :
( ( app(cons(sK57,sK59),X0) = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK59),X0))
| ~ segmentP(sK59,app(cons(sK57,sK59),X0)) ),
inference(superposition,[status(thm)],[c_38537,c_191]) ).
tcf(c_53622,plain,
( segmentP(cons(sK57,app(sK59,sK56)),sK59)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(light_normalisation,[status(thm)],[c_53618,c_45006]) ).
tcf(c_53623,plain,
segmentP(cons(sK57,app(sK59,sK56)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_53622,c_8907,c_45369]) ).
tcf(c_53624,plain,
( segmentP(cons(sK57,app(sK59,sK58)),sK59)
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(light_normalisation,[status(thm)],[c_53617,c_41513]) ).
tcf(c_53625,plain,
segmentP(cons(sK57,app(sK59,sK58)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_53624,c_8915,c_41763]) ).
tcf(c_53626,plain,
( segmentP(cons(sK57,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(light_normalisation,[status(thm)],[c_53616,c_37871]) ).
tcf(c_53627,plain,
segmentP(cons(sK57,app(sK59,sK59)),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_53626,c_8916,c_38541]) ).
tcf(c_53628,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK59),X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X1)
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53620,c_8916]) ).
tcf(c_53634,plain,
! [X0: $i] :
( ( app(cons(sK57,sK59),X0) = sK59 )
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK59),X0))
| ~ segmentP(sK59,app(cons(sK57,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53621,c_8916]) ).
tcf(c_53639,plain,
! [X0: $i] :
( ( app(app(sK13(app(cons(sK57,sK59),X0),sK59),sK59),sK14(app(cons(sK57,sK59),X0),sK59)) = app(cons(sK57,sK59),X0) )
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53619,c_8916]) ).
tcf(c_53719,plain,
( ( app(app(sK13(cons(sK57,app(sK59,sK56)),sK59),sK59),sK14(cons(sK57,app(sK59,sK56)),sK59)) = cons(sK57,app(sK59,sK56)) )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_53623,c_70]) ).
tcf(c_53720,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK56)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_53623,c_190]) ).
tcf(c_53721,plain,
( ( cons(sK57,app(sK59,sK56)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK59,sK56)))
| ~ segmentP(sK59,cons(sK57,app(sK59,sK56))) ),
inference(superposition,[status(thm)],[c_53623,c_191]) ).
tcf(c_53723,plain,
( ( cons(sK57,app(sK59,sK56)) = sK59 )
| ~ segmentP(sK59,cons(sK57,app(sK59,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53721,c_8916,c_45369]) ).
tcf(c_53726,plain,
app(app(sK13(cons(sK57,app(sK59,sK56)),sK59),sK59),sK14(cons(sK57,app(sK59,sK56)),sK59)) = cons(sK57,app(sK59,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_53719,c_8916,c_45369]) ).
tcf(c_53727,plain,
( ( app(app(sK13(cons(sK57,app(sK59,sK58)),sK59),sK59),sK14(cons(sK57,app(sK59,sK58)),sK59)) = cons(sK57,app(sK59,sK58)) )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_53625,c_70]) ).
tcf(c_53728,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK58)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_53625,c_190]) ).
tcf(c_53729,plain,
( ( cons(sK57,app(sK59,sK58)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK59,sK58)))
| ~ segmentP(sK59,cons(sK57,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_53625,c_191]) ).
tcf(c_53731,plain,
( ( cons(sK57,app(sK59,sK58)) = sK59 )
| ~ segmentP(sK59,cons(sK57,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53729,c_8916,c_41763]) ).
tcf(c_53734,plain,
app(app(sK13(cons(sK57,app(sK59,sK58)),sK59),sK59),sK14(cons(sK57,app(sK59,sK58)),sK59)) = cons(sK57,app(sK59,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_53727,c_8916,c_41763]) ).
tcf(c_53766,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,nil))
| ~ rearsegP(sK11(iPr_def_11,nil),X0) ),
inference(superposition,[status(thm)],[c_31734,c_183]) ).
tcf(c_53767,plain,
( ( sK11(iPr_def_11,nil) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK11(iPr_def_11,nil))
| ~ rearsegP(sK11(iPr_def_11,nil),iPr_def_11) ),
inference(superposition,[status(thm)],[c_31734,c_184]) ).
tcf(c_53768,plain,
( ( app(sK12(iPr_def_11,sK11(iPr_def_11,nil)),sK11(iPr_def_11,nil)) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK11(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_31734,c_66]) ).
tcf(c_53769,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_11,nil))
| ~ ssList(sK11(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_31734,c_19075]) ).
tcf(c_53772,plain,
( ( app(sK12(iPr_def_11,sK11(iPr_def_11,nil)),sK11(iPr_def_11,nil)) = iPr_def_11 )
| ~ ssList(sK11(iPr_def_11,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53768,c_12706]) ).
tcf(c_53775,plain,
( ( sK11(iPr_def_11,nil) = iPr_def_11 )
| ~ ssList(sK11(iPr_def_11,nil))
| ~ rearsegP(sK11(iPr_def_11,nil),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53767,c_12706]) ).
tcf(c_53803,plain,
( ( app(app(sK13(cons(sK57,app(sK59,sK59)),sK59),sK59),sK14(cons(sK57,app(sK59,sK59)),sK59)) = cons(sK57,app(sK59,sK59)) )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_53627,c_70]) ).
tcf(c_53804,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_53627,c_190]) ).
tcf(c_53805,plain,
( ( cons(sK57,app(sK59,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK59,sK59)))
| ~ segmentP(sK59,cons(sK57,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_53627,c_191]) ).
tcf(c_53807,plain,
( ( cons(sK57,app(sK59,sK59)) = sK59 )
| ~ segmentP(sK59,cons(sK57,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53805,c_8916,c_38541]) ).
tcf(c_53810,plain,
app(app(sK13(cons(sK57,app(sK59,sK59)),sK59),sK59),sK14(cons(sK57,app(sK59,sK59)),sK59)) = cons(sK57,app(sK59,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_53803,c_8916,c_38541]) ).
tcf(c_53821,plain,
~ segmentP(sK59,cons(sK57,app(sK59,sK59))),
inference(global_subsumption_just,[status(thm)],[c_53807,c_38073,c_38491,c_38501,c_53807]) ).
tcf(c_53827,plain,
( ( app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59) )
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_153,c_41245]) ).
tcf(c_53828,plain,
app(sK59,sK11(app(sK59,sK59),sK59)) = app(sK59,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_53827,c_8916]) ).
tcf(c_53829,plain,
! [X0: $i] :
( segmentP(app(app(sK59,sK59),X0),sK11(app(sK59,sK59),sK59))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ~ ssList(app(app(sK59,sK11(app(sK59,sK59),sK59)),X0)) ),
inference(superposition,[status(thm)],[c_53828,c_67]) ).
tcf(c_53832,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK11(app(sK59,sK59),sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(app(sK59,sK59),X0)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_53828,c_167]) ).
tcf(c_53833,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_53828,c_231]) ).
tcf(c_53834,plain,
( ( sK11(app(sK59,sK59),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_53828,c_230]) ).
tcf(c_53835,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_53828,c_382]) ).
tcf(c_53836,plain,
( rearsegP(app(sK59,sK59),sK11(app(sK59,sK59),sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_53828,c_379]) ).
tcf(c_53837,plain,
( ssList(app(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_53828,c_153]) ).
tcf(c_53838,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(X0,sK11(app(sK59,sK59),sK59)) != app(sK59,sK59) ) ),
inference(superposition,[status(thm)],[c_53828,c_225]) ).
tcf(c_53839,plain,
! [X0: $i] :
( ( sK11(app(sK59,sK59),sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,X0) != app(sK59,sK59) ) ),
inference(superposition,[status(thm)],[c_53828,c_226]) ).
tcf(c_53840,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_53828,c_176]) ).
tcf(c_53841,plain,
! [X0: $i] :
( memberP(app(sK59,sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_53828,c_165]) ).
tcf(c_53842,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,sK59),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ~ segmentP(sK11(app(sK59,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_53828,c_193]) ).
tcf(c_53843,plain,
! [X0: $i] :
( rearsegP(app(sK59,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ~ rearsegP(sK11(app(sK59,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_53828,c_186]) ).
tcf(c_53844,plain,
! [X0: $i] :
( memberP(app(sK59,sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ~ memberP(sK11(app(sK59,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_53828,c_166]) ).
tcf(c_53845,plain,
( ( sK11(app(sK59,sK59),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_53828,c_25916]) ).
tcf(c_53846,plain,
( segmentP(app(sK59,sK59),sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ~ ssList(app(sK59,sK11(app(sK59,sK59),sK59))) ),
inference(superposition,[status(thm)],[c_53828,c_26291]) ).
tcf(c_53847,plain,
! [X0: $i] :
( segmentP(app(sK59,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_53828,c_26872]) ).
tcf(c_53848,plain,
! [X0: $i] :
( segmentP(app(sK59,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_53828,c_26857]) ).
tcf(c_53849,plain,
( ssList(app(sK59,sK59))
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53837,c_8916]) ).
tcf(c_53852,plain,
( frontsegP(app(sK59,sK59),sK59)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53835,c_8916]) ).
tcf(c_53863,plain,
( rearsegP(app(sK59,sK59),sK11(app(sK59,sK59),sK59))
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53836,c_8916]) ).
tcf(c_53866,plain,
( segmentP(app(sK59,sK59),sK59)
| ~ ssList(app(sK59,sK59))
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(light_normalisation,[status(thm)],[c_53846,c_53828]) ).
tcf(c_53870,plain,
( ( nil = sK59 )
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53833,c_8916]) ).
tcf(c_53877,plain,
! [X0: $i] :
( memberP(app(sK59,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53841,c_8916]) ).
tcf(c_53882,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53840,c_8916]) ).
tcf(c_53887,plain,
( ( sK11(app(sK59,sK59),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53834,c_8916]) ).
tcf(c_53891,plain,
! [X0: $i] :
( memberP(app(sK59,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ~ memberP(sK11(app(sK59,sK59),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53844,c_8916]) ).
tcf(c_53896,plain,
! [X0: $i] :
( rearsegP(app(sK59,sK59),X0)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ~ rearsegP(sK11(app(sK59,sK59),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53843,c_8916]) ).
tcf(c_53901,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK11(app(sK59,sK59),sK59),X0)
| ~ ssItem(X0)
| ~ memberP(app(sK59,sK59),X0)
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53832,c_8916]) ).
tcf(c_53907,plain,
! [X0: $i] :
( ( sK11(app(sK59,sK59),sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(sK59,X0) != app(sK59,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53839,c_8916]) ).
tcf(c_53912,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ( app(X0,sK11(app(sK59,sK59),sK59)) != app(sK59,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53838,c_8916]) ).
tcf(c_53917,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,sK59),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ~ segmentP(sK11(app(sK59,sK59),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53842,c_8916]) ).
tcf(c_53923,plain,
! [X0: $i] :
( segmentP(app(app(sK59,sK59),X0),sK11(app(sK59,sK59),sK59))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ~ ssList(app(app(sK59,sK59),X0)) ),
inference(light_normalisation,[status(thm)],[c_53829,c_53828]) ).
tcf(c_53924,plain,
! [X0: $i] :
( segmentP(app(app(sK59,sK59),X0),sK11(app(sK59,sK59),sK59))
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ~ ssList(app(app(sK59,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53923,c_8916]) ).
tcf(c_53980,plain,
! [X0: $i] :
( rearsegP(app(sK59,sK59),X0)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ~ rearsegP(sK11(app(sK59,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_53863,c_183]) ).
tcf(c_53981,plain,
( ( sK11(app(sK59,sK59),sK59) = app(sK59,sK59) )
| ~ ssList(app(sK59,sK59))
| ~ ssList(sK11(app(sK59,sK59),sK59))
| ~ rearsegP(sK11(app(sK59,sK59),sK59),app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_53863,c_184]) ).
tcf(c_53982,plain,
( ( app(sK12(app(sK59,sK59),sK11(app(sK59,sK59),sK59)),sK11(app(sK59,sK59),sK59)) = app(sK59,sK59) )
| ~ ssList(app(sK59,sK59))
| ~ ssList(sK11(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_53863,c_66]) ).
tcf(c_54023,plain,
( ( sK12(iPr_def_12,iPr_def_12) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK12(iPr_def_12,iPr_def_12))
| ~ frontsegP(sK12(iPr_def_12,iPr_def_12),iPr_def_12) ),
inference(superposition,[status(thm)],[c_31808,c_174]) ).
tcf(c_54024,plain,
( ( app(sK12(iPr_def_12,iPr_def_12),sK11(iPr_def_12,sK12(iPr_def_12,iPr_def_12))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK12(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_31808,c_63]) ).
tcf(c_54025,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_12,iPr_def_12))
| ~ ssList(sK12(iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_31808,c_20773]) ).
tcf(c_54028,plain,
( ( app(sK12(iPr_def_12,iPr_def_12),sK11(iPr_def_12,sK12(iPr_def_12,iPr_def_12))) = iPr_def_12 )
| ~ ssList(sK12(iPr_def_12,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54024,c_12842]) ).
tcf(c_54031,plain,
( ( sK12(iPr_def_12,iPr_def_12) = iPr_def_12 )
| ~ ssList(sK12(iPr_def_12,iPr_def_12))
| ~ frontsegP(sK12(iPr_def_12,iPr_def_12),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54023,c_12842]) ).
tcf(c_54066,plain,
( ( sK12(iPr_def_11,iPr_def_11) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK12(iPr_def_11,iPr_def_11))
| ~ frontsegP(sK12(iPr_def_11,iPr_def_11),iPr_def_11) ),
inference(superposition,[status(thm)],[c_32005,c_174]) ).
tcf(c_54067,plain,
( ( app(sK12(iPr_def_11,iPr_def_11),sK11(iPr_def_11,sK12(iPr_def_11,iPr_def_11))) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK12(iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_32005,c_63]) ).
tcf(c_54068,plain,
( ( app(sK12(iPr_def_11,iPr_def_11),sK11(iPr_def_11,sK12(iPr_def_11,iPr_def_11))) = iPr_def_11 )
| ~ ssList(sK12(iPr_def_11,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54067,c_12706]) ).
tcf(c_54071,plain,
( ( sK12(iPr_def_11,iPr_def_11) = iPr_def_11 )
| ~ ssList(sK12(iPr_def_11,iPr_def_11))
| ~ frontsegP(sK12(iPr_def_11,iPr_def_11),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54066,c_12706]) ).
tcf(c_54075,plain,
frontsegP(nil,sK12(nil,nil)),
inference(global_subsumption_just,[status(thm)],[c_32060,c_141,c_188,c_327,c_32060]) ).
tcf(c_54078,plain,
( ( sK12(nil,nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(nil,nil))
| ~ frontsegP(sK12(nil,nil),nil) ),
inference(superposition,[status(thm)],[c_54075,c_174]) ).
tcf(c_54079,plain,
( ( app(sK12(nil,nil),sK11(nil,sK12(nil,nil))) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_54075,c_63]) ).
tcf(c_54080,plain,
( frontsegP(iPr_def_10,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_54075,c_20777]) ).
tcf(c_54081,plain,
( frontsegP(iPr_def_11,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_54075,c_18786]) ).
tcf(c_54082,plain,
( frontsegP(iPr_def_12,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_54075,c_18770]) ).
tcf(c_54083,plain,
( frontsegP(sK59,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_54075,c_18782]) ).
tcf(c_54084,plain,
( frontsegP(sK58,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_54075,c_18778]) ).
tcf(c_54085,plain,
( frontsegP(sK56,sK12(nil,nil))
| ~ ssList(sK12(nil,nil)) ),
inference(superposition,[status(thm)],[c_54075,c_18774]) ).
tcf(c_54099,plain,
( ( app(sK12(nil,nil),sK11(nil,sK12(nil,nil))) = nil )
| ~ ssList(sK12(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54079,c_141]) ).
tcf(c_54107,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,nil))
| ~ frontsegP(sK12(iPr_def_12,nil),X0) ),
inference(superposition,[status(thm)],[c_32500,c_173]) ).
tcf(c_54108,plain,
( ( sK12(iPr_def_12,nil) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK12(iPr_def_12,nil))
| ~ frontsegP(sK12(iPr_def_12,nil),iPr_def_12) ),
inference(superposition,[status(thm)],[c_32500,c_174]) ).
tcf(c_54109,plain,
( ( app(sK12(iPr_def_12,nil),sK11(iPr_def_12,sK12(iPr_def_12,nil))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_32500,c_63]) ).
tcf(c_54110,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_12,nil))
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_32500,c_20773]) ).
tcf(c_54113,plain,
( ( app(sK12(iPr_def_12,nil),sK11(iPr_def_12,sK12(iPr_def_12,nil))) = iPr_def_12 )
| ~ ssList(sK12(iPr_def_12,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54109,c_12842]) ).
tcf(c_54116,plain,
( ( sK12(iPr_def_12,nil) = iPr_def_12 )
| ~ ssList(sK12(iPr_def_12,nil))
| ~ frontsegP(sK12(iPr_def_12,nil),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54108,c_12842]) ).
tcf(c_54145,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,cons(sK57,sK59)) = nil )
| ( cons(sK60,cons(sK57,sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,cons(sK57,sK59)))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,cons(sK57,sK59))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_50957,c_223]) ).
tcf(c_54146,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,cons(sK57,sK59))))
| ( cons(sK60,cons(sK57,sK59)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,cons(sK57,sK59)))
| ~ ssList(cons(sK60,cons(sK57,sK59))) ),
inference(superposition,[status(thm)],[c_50957,c_212]) ).
tcf(c_54147,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,cons(sK57,sK59))))
| ( cons(sK60,cons(sK57,sK59)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,cons(sK57,sK59)))
| ~ ssList(cons(sK60,cons(sK57,sK59))) ),
inference(superposition,[status(thm)],[c_50957,c_206]) ).
tcf(c_54160,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,cons(sK57,sK59)) = nil )
| ( cons(sK60,cons(sK57,sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,cons(sK57,sK59)))
| ( hd(X0) != sK60 )
| ( cons(sK57,sK59) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_54145,c_50402]) ).
tcf(c_54172,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,cons(sK57,sK58)) = nil )
| ( cons(sK60,cons(sK57,sK58)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,cons(sK57,sK58)))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,cons(sK57,sK58))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_50958,c_223]) ).
tcf(c_54173,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,cons(sK57,sK58))))
| ( cons(sK60,cons(sK57,sK58)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,cons(sK57,sK58)))
| ~ ssList(cons(sK60,cons(sK57,sK58))) ),
inference(superposition,[status(thm)],[c_50958,c_212]) ).
tcf(c_54174,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,cons(sK57,sK58))))
| ( cons(sK60,cons(sK57,sK58)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,cons(sK57,sK58)))
| ~ ssList(cons(sK60,cons(sK57,sK58))) ),
inference(superposition,[status(thm)],[c_50958,c_206]) ).
tcf(c_54187,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,cons(sK57,sK58)) = nil )
| ( cons(sK60,cons(sK57,sK58)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,cons(sK57,sK58)))
| ( hd(X0) != sK60 )
| ( cons(sK57,sK58) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_54172,c_50403]) ).
tcf(c_54199,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,cons(sK57,sK56)) = nil )
| ( cons(sK60,cons(sK57,sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,cons(sK57,sK56)))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,cons(sK57,sK56))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_50959,c_223]) ).
tcf(c_54200,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,cons(sK57,sK56))))
| ( cons(sK60,cons(sK57,sK56)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,cons(sK57,sK56)))
| ~ ssList(cons(sK60,cons(sK57,sK56))) ),
inference(superposition,[status(thm)],[c_50959,c_212]) ).
tcf(c_54201,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,cons(sK57,sK56))))
| ( cons(sK60,cons(sK57,sK56)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,cons(sK57,sK56)))
| ~ ssList(cons(sK60,cons(sK57,sK56))) ),
inference(superposition,[status(thm)],[c_50959,c_206]) ).
tcf(c_54214,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,cons(sK57,sK56)) = nil )
| ( cons(sK60,cons(sK57,sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,cons(sK57,sK56)))
| ( hd(X0) != sK60 )
| ( cons(sK57,sK56) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_54199,c_50404]) ).
tcf(c_54252,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_11,cons(sK57,sK59)) = nil )
| ( app(iPr_def_11,cons(sK57,sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,cons(sK57,sK59)))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_11,cons(sK57,sK59))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_51788,c_223]) ).
tcf(c_54253,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_11,cons(sK57,sK59))))
| ( app(iPr_def_11,cons(sK57,sK59)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_11,cons(sK57,sK59)))
| ~ ssList(app(iPr_def_11,cons(sK57,sK59))) ),
inference(superposition,[status(thm)],[c_51788,c_212]) ).
tcf(c_54254,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_11,cons(sK57,sK59))))
| ( app(iPr_def_11,cons(sK57,sK59)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_11,cons(sK57,sK59)))
| ~ ssList(app(iPr_def_11,cons(sK57,sK59))) ),
inference(superposition,[status(thm)],[c_51788,c_206]) ).
tcf(c_54290,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK59,sK59),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_41252,c_173]) ).
tcf(c_54291,plain,
! [X0: $i] :
( ( app(sK59,sK59) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK59))
| ~ frontsegP(X0,app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_41252,c_174]) ).
tcf(c_54292,plain,
! [X0: $i] :
( ( app(X0,sK11(app(sK59,sK59),X0)) = app(sK59,sK59) )
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_41252,c_63]) ).
tcf(c_54341,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_37872,c_42475]) ).
tcf(c_54342,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_41514,c_42475]) ).
tcf(c_54343,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_45007,c_42475]) ).
tcf(c_54344,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(cons(sK57,sK58),X0),X1),X1),sK14(app(cons(sK57,sK58),X0),X1)) = app(cons(sK57,sK58),X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X1)
| ~ ssList(app(cons(sK57,sK58),X0)) ),
inference(superposition,[status(thm)],[c_42475,c_70]) ).
tcf(c_54345,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(cons(sK57,sK58),X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(cons(sK57,sK58),X0)) ),
inference(superposition,[status(thm)],[c_42475,c_190]) ).
tcf(c_54346,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK57,sK58),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(cons(sK57,sK58),X1))
| ~ segmentP(X0,app(cons(sK57,sK58),X1)) ),
inference(superposition,[status(thm)],[c_42475,c_191]) ).
tcf(c_54347,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54343,c_8907]) ).
tcf(c_54351,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54342,c_8915]) ).
tcf(c_54355,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54341,c_8916]) ).
tcf(c_54389,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK58,sK56)),X0),X0),sK14(cons(sK57,app(sK58,sK56)),X0)) = cons(sK57,app(sK58,sK56)) )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_54347,c_70]) ).
tcf(c_54390,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK58,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,X1)
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_54347,c_190]) ).
tcf(c_54391,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK56)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(cons(sK57,app(sK58,sK56)))
| ~ segmentP(X0,cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_54347,c_191]) ).
tcf(c_54392,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK58,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54390,c_46410]) ).
tcf(c_54398,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK56)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,cons(sK57,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54391,c_46410]) ).
tcf(c_54403,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK58,sK56)),X0),X0),sK14(cons(sK57,app(sK58,sK56)),X0)) = cons(sK57,app(sK58,sK56)) )
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54389,c_46410]) ).
tcf(c_54441,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK58,sK58)),X0),X0),sK14(cons(sK57,app(sK58,sK58)),X0)) = cons(sK57,app(sK58,sK58)) )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_54351,c_70]) ).
tcf(c_54442,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK58,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,X1)
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_54351,c_190]) ).
tcf(c_54443,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK58)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(cons(sK57,app(sK58,sK58)))
| ~ segmentP(X0,cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_54351,c_191]) ).
tcf(c_54444,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK58,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54442,c_43212]) ).
tcf(c_54450,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK58)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,cons(sK57,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54443,c_43212]) ).
tcf(c_54455,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK58,sK58)),X0),X0),sK14(cons(sK57,app(sK58,sK58)),X0)) = cons(sK57,app(sK58,sK58)) )
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54441,c_43212]) ).
tcf(c_54468,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK58,sK59)),X0),X0),sK14(cons(sK57,app(sK58,sK59)),X0)) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(cons(sK57,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_54355,c_70]) ).
tcf(c_54469,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK58,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,X1)
| ~ ssList(cons(sK57,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_54355,c_190]) ).
tcf(c_54470,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK59)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(cons(sK57,app(sK58,sK59)))
| ~ segmentP(X0,cons(sK57,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_54355,c_191]) ).
tcf(c_54471,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK58,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54469,c_42487]) ).
tcf(c_54477,plain,
! [X0: $i] :
( ( cons(sK57,app(sK58,sK59)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,cons(sK57,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54470,c_42487]) ).
tcf(c_54482,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK58,sK59)),X0),X0),sK14(cons(sK57,app(sK58,sK59)),X0)) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54468,c_42487]) ).
tcf(c_54513,plain,
( segmentP(cons(sK57,app(sK58,sK59)),sK58)
| ~ ssList(sK59)
| ~ ssList(app(cons(sK57,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_37872,c_42481]) ).
tcf(c_54514,plain,
( segmentP(cons(sK57,app(sK58,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(app(cons(sK57,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_41514,c_42481]) ).
tcf(c_54515,plain,
( segmentP(cons(sK57,app(sK58,sK56)),sK58)
| ~ ssList(sK56)
| ~ ssList(app(cons(sK57,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_45007,c_42481]) ).
tcf(c_54516,plain,
! [X0: $i] :
( ( app(app(sK13(app(cons(sK57,sK58),X0),sK58),sK58),sK14(app(cons(sK57,sK58),X0),sK58)) = app(cons(sK57,sK58),X0) )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK58),X0)) ),
inference(superposition,[status(thm)],[c_42481,c_70]) ).
tcf(c_54517,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK58),X0),X1)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X1)
| ~ ssList(app(cons(sK57,sK58),X0)) ),
inference(superposition,[status(thm)],[c_42481,c_190]) ).
tcf(c_54518,plain,
! [X0: $i] :
( ( app(cons(sK57,sK58),X0) = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK58),X0))
| ~ segmentP(sK58,app(cons(sK57,sK58),X0)) ),
inference(superposition,[status(thm)],[c_42481,c_191]) ).
tcf(c_54519,plain,
( segmentP(cons(sK57,app(sK58,sK56)),sK58)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(light_normalisation,[status(thm)],[c_54515,c_45007]) ).
tcf(c_54520,plain,
segmentP(cons(sK57,app(sK58,sK56)),sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_54519,c_8907,c_46410]) ).
tcf(c_54521,plain,
( segmentP(cons(sK57,app(sK58,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(light_normalisation,[status(thm)],[c_54514,c_41514]) ).
tcf(c_54522,plain,
segmentP(cons(sK57,app(sK58,sK58)),sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_54521,c_8915,c_43212]) ).
tcf(c_54523,plain,
( segmentP(cons(sK57,app(sK58,sK59)),sK58)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK58,sK59))) ),
inference(light_normalisation,[status(thm)],[c_54513,c_37872]) ).
tcf(c_54524,plain,
segmentP(cons(sK57,app(sK58,sK59)),sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_54523,c_8916,c_42487]) ).
tcf(c_54525,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK58),X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X1)
| ~ ssList(app(cons(sK57,sK58),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54517,c_8915]) ).
tcf(c_54531,plain,
! [X0: $i] :
( ( app(cons(sK57,sK58),X0) = sK58 )
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK58),X0))
| ~ segmentP(sK58,app(cons(sK57,sK58),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54518,c_8915]) ).
tcf(c_54536,plain,
! [X0: $i] :
( ( app(app(sK13(app(cons(sK57,sK58),X0),sK58),sK58),sK14(app(cons(sK57,sK58),X0),sK58)) = app(cons(sK57,sK58),X0) )
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK58),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54516,c_8915]) ).
tcf(c_54543,plain,
( ( app(app(sK13(cons(sK57,app(sK58,sK56)),sK58),sK58),sK14(cons(sK57,app(sK58,sK56)),sK58)) = cons(sK57,app(sK58,sK56)) )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_54520,c_70]) ).
tcf(c_54544,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK58,sK56)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_54520,c_190]) ).
tcf(c_54545,plain,
( ( cons(sK57,app(sK58,sK56)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK58,sK56)))
| ~ segmentP(sK58,cons(sK57,app(sK58,sK56))) ),
inference(superposition,[status(thm)],[c_54520,c_191]) ).
tcf(c_54547,plain,
( ( cons(sK57,app(sK58,sK56)) = sK58 )
| ~ segmentP(sK58,cons(sK57,app(sK58,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54545,c_8915,c_46410]) ).
tcf(c_54550,plain,
app(app(sK13(cons(sK57,app(sK58,sK56)),sK58),sK58),sK14(cons(sK57,app(sK58,sK56)),sK58)) = cons(sK57,app(sK58,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_54543,c_8915,c_46410]) ).
tcf(c_54555,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_11,nil))
| ~ frontsegP(sK12(iPr_def_11,nil),X0) ),
inference(superposition,[status(thm)],[c_32595,c_173]) ).
tcf(c_54556,plain,
( ( sK12(iPr_def_11,nil) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK12(iPr_def_11,nil))
| ~ frontsegP(sK12(iPr_def_11,nil),iPr_def_11) ),
inference(superposition,[status(thm)],[c_32595,c_174]) ).
tcf(c_54557,plain,
( ( app(sK12(iPr_def_11,nil),sK11(iPr_def_11,sK12(iPr_def_11,nil))) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(superposition,[status(thm)],[c_32595,c_63]) ).
tcf(c_54558,plain,
( ( app(sK12(iPr_def_11,nil),sK11(iPr_def_11,sK12(iPr_def_11,nil))) = iPr_def_11 )
| ~ ssList(sK12(iPr_def_11,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54557,c_12706]) ).
tcf(c_54561,plain,
( ( sK12(iPr_def_11,nil) = iPr_def_11 )
| ~ ssList(sK12(iPr_def_11,nil))
| ~ frontsegP(sK12(iPr_def_11,nil),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54556,c_12706]) ).
tcf(c_54583,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_12,iPr_def_11))
| ~ frontsegP(sK12(iPr_def_12,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_32664,c_173]) ).
tcf(c_54584,plain,
( ( sK12(iPr_def_12,iPr_def_11) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK12(iPr_def_12,iPr_def_11))
| ~ frontsegP(sK12(iPr_def_12,iPr_def_11),iPr_def_12) ),
inference(superposition,[status(thm)],[c_32664,c_174]) ).
tcf(c_54585,plain,
( ( app(sK12(iPr_def_12,iPr_def_11),sK11(iPr_def_12,sK12(iPr_def_12,iPr_def_11))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK12(iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_32664,c_63]) ).
tcf(c_54586,plain,
( frontsegP(iPr_def_10,sK12(iPr_def_12,iPr_def_11))
| ~ ssList(sK12(iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_32664,c_20773]) ).
tcf(c_54589,plain,
( ( app(sK12(iPr_def_12,iPr_def_11),sK11(iPr_def_12,sK12(iPr_def_12,iPr_def_11))) = iPr_def_12 )
| ~ ssList(sK12(iPr_def_12,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54585,c_12842]) ).
tcf(c_54592,plain,
( ( sK12(iPr_def_12,iPr_def_11) = iPr_def_12 )
| ~ ssList(sK12(iPr_def_12,iPr_def_11))
| ~ frontsegP(sK12(iPr_def_12,iPr_def_11),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54584,c_12842]) ).
tcf(c_54601,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,nil))
| ~ rearsegP(sK11(iPr_def_10,nil),X0) ),
inference(superposition,[status(thm)],[c_32783,c_183]) ).
tcf(c_54602,plain,
( ( sK11(iPr_def_10,nil) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK11(iPr_def_10,nil))
| ~ rearsegP(sK11(iPr_def_10,nil),iPr_def_10) ),
inference(superposition,[status(thm)],[c_32783,c_184]) ).
tcf(c_54603,plain,
( ( app(sK12(iPr_def_10,sK11(iPr_def_10,nil)),sK11(iPr_def_10,nil)) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_32783,c_66]) ).
tcf(c_54604,plain,
( ( app(sK12(iPr_def_10,sK11(iPr_def_10,nil)),sK11(iPr_def_10,nil)) = iPr_def_10 )
| ~ ssList(sK11(iPr_def_10,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54603,c_18245]) ).
tcf(c_54607,plain,
( ( sK11(iPr_def_10,nil) = iPr_def_10 )
| ~ ssList(sK11(iPr_def_10,nil))
| ~ rearsegP(sK11(iPr_def_10,nil),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54602,c_18245]) ).
tcf(c_54630,plain,
( ( sK11(iPr_def_10,iPr_def_10) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ~ rearsegP(sK11(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_32974,c_184]) ).
tcf(c_54631,plain,
( ( app(sK12(iPr_def_10,sK11(iPr_def_10,iPr_def_10)),sK11(iPr_def_10,iPr_def_10)) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK11(iPr_def_10,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_32974,c_66]) ).
tcf(c_54632,plain,
( ( app(sK12(iPr_def_10,sK11(iPr_def_10,iPr_def_10)),sK11(iPr_def_10,iPr_def_10)) = iPr_def_10 )
| ~ ssList(sK11(iPr_def_10,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54631,c_18245]) ).
tcf(c_54635,plain,
( ( sK11(iPr_def_10,iPr_def_10) = iPr_def_10 )
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ~ rearsegP(sK11(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54630,c_18245]) ).
tcf(c_54657,plain,
( ( app(app(sK13(cons(sK57,app(sK58,sK58)),sK58),sK58),sK14(cons(sK57,app(sK58,sK58)),sK58)) = cons(sK57,app(sK58,sK58)) )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_54522,c_70]) ).
tcf(c_54658,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_54522,c_190]) ).
tcf(c_54659,plain,
( ( cons(sK57,app(sK58,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK58,sK58)))
| ~ segmentP(sK58,cons(sK57,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_54522,c_191]) ).
tcf(c_54661,plain,
~ segmentP(sK58,cons(sK57,app(sK58,sK58))),
inference(forward_subsumption_resolution,[status(thm)],[c_54659,c_43215,c_8915,c_43212]) ).
tcf(c_54662,plain,
app(app(sK13(cons(sK57,app(sK58,sK58)),sK58),sK58),sK14(cons(sK57,app(sK58,sK58)),sK58)) = cons(sK57,app(sK58,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_54657,c_8915,c_43212]) ).
tcf(c_54663,plain,
( ( app(app(sK13(cons(sK57,app(sK58,sK59)),sK58),sK58),sK14(cons(sK57,app(sK58,sK59)),sK58)) = cons(sK57,app(sK58,sK59)) )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_54524,c_70]) ).
tcf(c_54664,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK58,sK59)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(cons(sK57,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_54524,c_190]) ).
tcf(c_54665,plain,
( ( cons(sK57,app(sK58,sK59)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK58,sK59)))
| ~ segmentP(sK58,cons(sK57,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_54524,c_191]) ).
tcf(c_54667,plain,
( ( cons(sK57,app(sK58,sK59)) = sK58 )
| ~ segmentP(sK58,cons(sK57,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54665,c_8915,c_42487]) ).
tcf(c_54670,plain,
app(app(sK13(cons(sK57,app(sK58,sK59)),sK58),sK58),sK14(cons(sK57,app(sK58,sK59)),sK58)) = cons(sK57,app(sK58,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_54663,c_8915,c_42487]) ).
tcf(c_54673,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_11,cons(sK57,sK58)) = nil )
| ( app(iPr_def_11,cons(sK57,sK58)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,cons(sK57,sK58)))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_11,cons(sK57,sK58))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_51789,c_223]) ).
tcf(c_54674,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_11,cons(sK57,sK58))))
| ( app(iPr_def_11,cons(sK57,sK58)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_11,cons(sK57,sK58)))
| ~ ssList(app(iPr_def_11,cons(sK57,sK58))) ),
inference(superposition,[status(thm)],[c_51789,c_212]) ).
tcf(c_54675,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_11,cons(sK57,sK58))))
| ( app(iPr_def_11,cons(sK57,sK58)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_11,cons(sK57,sK58)))
| ~ ssList(app(iPr_def_11,cons(sK57,sK58))) ),
inference(superposition,[status(thm)],[c_51789,c_206]) ).
tcf(c_54709,plain,
( ( app(sK59,sK11(app(sK59,sK58),sK59)) = app(sK59,sK58) )
| ~ ssList(sK59)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_153,c_43182]) ).
tcf(c_54710,plain,
app(sK59,sK11(app(sK59,sK58),sK59)) = app(sK59,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_54709,c_8916,c_8915]) ).
tcf(c_54711,plain,
! [X0: $i] :
( segmentP(app(app(sK59,sK58),X0),sK11(app(sK59,sK58),sK59))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ~ ssList(app(app(sK59,sK11(app(sK59,sK58),sK59)),X0)) ),
inference(superposition,[status(thm)],[c_54710,c_67]) ).
tcf(c_54714,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK11(app(sK59,sK58),sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(app(sK59,sK58),X0)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_54710,c_167]) ).
tcf(c_54715,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ( app(sK59,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_54710,c_231]) ).
tcf(c_54716,plain,
( ( sK11(app(sK59,sK58),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ( app(sK59,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_54710,c_230]) ).
tcf(c_54717,plain,
( frontsegP(app(sK59,sK58),sK59)
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_54710,c_382]) ).
tcf(c_54718,plain,
( rearsegP(app(sK59,sK58),sK11(app(sK59,sK58),sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_54710,c_379]) ).
tcf(c_54719,plain,
( ssList(app(sK59,sK58))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_54710,c_153]) ).
tcf(c_54720,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ( app(X0,sK11(app(sK59,sK58),sK59)) != app(sK59,sK58) ) ),
inference(superposition,[status(thm)],[c_54710,c_225]) ).
tcf(c_54721,plain,
! [X0: $i] :
( ( sK11(app(sK59,sK58),sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ( app(sK59,X0) != app(sK59,sK58) ) ),
inference(superposition,[status(thm)],[c_54710,c_226]) ).
tcf(c_54722,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK58),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_54710,c_176]) ).
tcf(c_54723,plain,
! [X0: $i] :
( memberP(app(sK59,sK58),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_54710,c_165]) ).
tcf(c_54724,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,sK58),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ~ segmentP(sK11(app(sK59,sK58),sK59),X0) ),
inference(superposition,[status(thm)],[c_54710,c_193]) ).
tcf(c_54725,plain,
! [X0: $i] :
( rearsegP(app(sK59,sK58),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ~ rearsegP(sK11(app(sK59,sK58),sK59),X0) ),
inference(superposition,[status(thm)],[c_54710,c_186]) ).
tcf(c_54726,plain,
! [X0: $i] :
( memberP(app(sK59,sK58),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ~ memberP(sK11(app(sK59,sK58),sK59),X0) ),
inference(superposition,[status(thm)],[c_54710,c_166]) ).
tcf(c_54727,plain,
( ( sK11(app(sK59,sK58),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ( app(sK59,sK58) != sK59 ) ),
inference(superposition,[status(thm)],[c_54710,c_25916]) ).
tcf(c_54728,plain,
( segmentP(app(sK59,sK58),sK59)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ~ ssList(app(sK59,sK11(app(sK59,sK58),sK59))) ),
inference(superposition,[status(thm)],[c_54710,c_26291]) ).
tcf(c_54729,plain,
! [X0: $i] :
( segmentP(app(sK59,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_54710,c_26872]) ).
tcf(c_54730,plain,
! [X0: $i] :
( segmentP(app(sK59,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_54710,c_26857]) ).
tcf(c_54731,plain,
( ssList(app(sK59,sK58))
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54719,c_8916]) ).
tcf(c_54734,plain,
( frontsegP(app(sK59,sK58),sK59)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54717,c_8916]) ).
tcf(c_54745,plain,
( rearsegP(app(sK59,sK58),sK11(app(sK59,sK58),sK59))
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54718,c_8916]) ).
tcf(c_54748,plain,
( segmentP(app(sK59,sK58),sK59)
| ~ ssList(app(sK59,sK58))
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(light_normalisation,[status(thm)],[c_54728,c_54710]) ).
tcf(c_54752,plain,
( ( nil = sK59 )
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ( app(sK59,sK58) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54715,c_8916]) ).
tcf(c_54759,plain,
! [X0: $i] :
( memberP(app(sK59,sK58),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54723,c_8916]) ).
tcf(c_54764,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54722,c_8916]) ).
tcf(c_54769,plain,
( ( sK11(app(sK59,sK58),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ( app(sK59,sK58) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54716,c_8916]) ).
tcf(c_54773,plain,
! [X0: $i] :
( memberP(app(sK59,sK58),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ~ memberP(sK11(app(sK59,sK58),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54726,c_8916]) ).
tcf(c_54778,plain,
! [X0: $i] :
( rearsegP(app(sK59,sK58),X0)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ~ rearsegP(sK11(app(sK59,sK58),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54725,c_8916]) ).
tcf(c_54783,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK11(app(sK59,sK58),sK59),X0)
| ~ ssItem(X0)
| ~ memberP(app(sK59,sK58),X0)
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54714,c_8916]) ).
tcf(c_54789,plain,
! [X0: $i] :
( ( sK11(app(sK59,sK58),sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ( app(sK59,X0) != app(sK59,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54721,c_8916]) ).
tcf(c_54794,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ( app(X0,sK11(app(sK59,sK58),sK59)) != app(sK59,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54720,c_8916]) ).
tcf(c_54799,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,sK58),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ~ segmentP(sK11(app(sK59,sK58),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54724,c_8916]) ).
tcf(c_54805,plain,
! [X0: $i] :
( segmentP(app(app(sK59,sK58),X0),sK11(app(sK59,sK58),sK59))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ~ ssList(app(app(sK59,sK58),X0)) ),
inference(light_normalisation,[status(thm)],[c_54711,c_54710]) ).
tcf(c_54806,plain,
! [X0: $i] :
( segmentP(app(app(sK59,sK58),X0),sK11(app(sK59,sK58),sK59))
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ~ ssList(app(app(sK59,sK58),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54805,c_8916]) ).
tcf(c_54912,plain,
! [X0: $i] :
( rearsegP(app(sK59,sK58),X0)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ~ rearsegP(sK11(app(sK59,sK58),sK59),X0) ),
inference(superposition,[status(thm)],[c_54745,c_183]) ).
tcf(c_54913,plain,
( ( sK11(app(sK59,sK58),sK59) = app(sK59,sK58) )
| ~ ssList(app(sK59,sK58))
| ~ ssList(sK11(app(sK59,sK58),sK59))
| ~ rearsegP(sK11(app(sK59,sK58),sK59),app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_54745,c_184]) ).
tcf(c_54914,plain,
( ( app(sK12(app(sK59,sK58),sK11(app(sK59,sK58),sK59)),sK11(app(sK59,sK58),sK59)) = app(sK59,sK58) )
| ~ ssList(app(sK59,sK58))
| ~ ssList(sK11(app(sK59,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_54745,c_66]) ).
tcf(c_54938,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_10,iPr_def_12))
| ~ rearsegP(sK11(iPr_def_10,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_33034,c_183]) ).
tcf(c_54939,plain,
( ( sK11(iPr_def_10,iPr_def_12) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK11(iPr_def_10,iPr_def_12))
| ~ rearsegP(sK11(iPr_def_10,iPr_def_12),iPr_def_10) ),
inference(superposition,[status(thm)],[c_33034,c_184]) ).
tcf(c_54940,plain,
( ( app(sK12(iPr_def_10,sK11(iPr_def_10,iPr_def_12)),sK11(iPr_def_10,iPr_def_12)) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK11(iPr_def_10,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_33034,c_66]) ).
tcf(c_54941,plain,
( ( app(sK12(iPr_def_10,sK11(iPr_def_10,iPr_def_12)),sK11(iPr_def_10,iPr_def_12)) = iPr_def_10 )
| ~ ssList(sK11(iPr_def_10,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54940,c_18245]) ).
tcf(c_54944,plain,
( ( sK11(iPr_def_10,iPr_def_12) = iPr_def_10 )
| ~ ssList(sK11(iPr_def_10,iPr_def_12))
| ~ rearsegP(sK11(iPr_def_10,iPr_def_12),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54939,c_18245]) ).
tcf(c_54981,plain,
( ( sK12(iPr_def_10,iPr_def_10) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK12(iPr_def_10,iPr_def_10))
| ~ frontsegP(sK12(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_33210,c_174]) ).
tcf(c_54982,plain,
( ( app(sK12(iPr_def_10,iPr_def_10),sK11(iPr_def_10,sK12(iPr_def_10,iPr_def_10))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK12(iPr_def_10,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_33210,c_63]) ).
tcf(c_54983,plain,
( ( app(sK12(iPr_def_10,iPr_def_10),sK11(iPr_def_10,sK12(iPr_def_10,iPr_def_10))) = iPr_def_10 )
| ~ ssList(sK12(iPr_def_10,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54982,c_18245]) ).
tcf(c_54986,plain,
( ( sK12(iPr_def_10,iPr_def_10) = iPr_def_10 )
| ~ ssList(sK12(iPr_def_10,iPr_def_10))
| ~ frontsegP(sK12(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54981,c_18245]) ).
tcf(c_54994,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(iPr_def_10,nil))
| ~ frontsegP(sK12(iPr_def_10,nil),X0) ),
inference(superposition,[status(thm)],[c_33262,c_173]) ).
tcf(c_54995,plain,
( ( sK12(iPr_def_10,nil) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK12(iPr_def_10,nil))
| ~ frontsegP(sK12(iPr_def_10,nil),iPr_def_10) ),
inference(superposition,[status(thm)],[c_33262,c_174]) ).
tcf(c_54996,plain,
( ( app(sK12(iPr_def_10,nil),sK11(iPr_def_10,sK12(iPr_def_10,nil))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK12(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_33262,c_63]) ).
tcf(c_54997,plain,
( ( app(sK12(iPr_def_10,nil),sK11(iPr_def_10,sK12(iPr_def_10,nil))) = iPr_def_10 )
| ~ ssList(sK12(iPr_def_10,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54996,c_18245]) ).
tcf(c_55000,plain,
( ( sK12(iPr_def_10,nil) = iPr_def_10 )
| ~ ssList(sK12(iPr_def_10,nil))
| ~ frontsegP(sK12(iPr_def_10,nil),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54995,c_18245]) ).
tcf(c_55005,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_12),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_12),nil))
| ~ ssList(app(app(sK12(tl(iPr_def_12),nil),nil),X0)) ),
inference(superposition,[status(thm)],[c_33464,c_67]) ).
tcf(c_55008,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(tl(iPr_def_12),nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_12),X0)
| ~ ssList(sK12(tl(iPr_def_12),nil)) ),
inference(superposition,[status(thm)],[c_33464,c_167]) ).
tcf(c_55009,plain,
( ( sK12(tl(iPr_def_12),nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK12(tl(iPr_def_12),nil))
| ( tl(iPr_def_12) != nil ) ),
inference(superposition,[status(thm)],[c_33464,c_231]) ).
tcf(c_55011,plain,
( frontsegP(tl(iPr_def_12),sK12(tl(iPr_def_12),nil))
| ~ ssList(nil)
| ~ ssList(sK12(tl(iPr_def_12),nil)) ),
inference(superposition,[status(thm)],[c_33464,c_382]) ).
tcf(c_55014,plain,
! [X0: $i] :
( ( sK12(tl(iPr_def_12),nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_12),nil))
| ( app(X0,nil) != tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_33464,c_225]) ).
tcf(c_55015,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_12),nil))
| ( app(sK12(tl(iPr_def_12),nil),X0) != tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_33464,c_226]) ).
tcf(c_55016,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_12),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_12),nil))
| ~ frontsegP(sK12(tl(iPr_def_12),nil),X0) ),
inference(superposition,[status(thm)],[c_33464,c_176]) ).
tcf(c_55017,plain,
! [X0: $i] :
( memberP(tl(iPr_def_12),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK12(tl(iPr_def_12),nil))
| ~ memberP(sK12(tl(iPr_def_12),nil),X0) ),
inference(superposition,[status(thm)],[c_33464,c_165]) ).
tcf(c_55018,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_12),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK12(tl(iPr_def_12),nil)) ),
inference(superposition,[status(thm)],[c_33464,c_193]) ).
tcf(c_55019,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_12),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK12(tl(iPr_def_12),nil)) ),
inference(superposition,[status(thm)],[c_33464,c_186]) ).
tcf(c_55021,plain,
( ( sK12(tl(iPr_def_12),nil) = sK59 )
| ~ ssList(sK12(tl(iPr_def_12),nil))
| ( tl(iPr_def_12) != sK59 ) ),
inference(superposition,[status(thm)],[c_33464,c_25199]) ).
tcf(c_55022,plain,
( ( sK12(tl(iPr_def_12),nil) = sK58 )
| ~ ssList(sK12(tl(iPr_def_12),nil))
| ( tl(iPr_def_12) != sK58 ) ),
inference(superposition,[status(thm)],[c_33464,c_25195]) ).
tcf(c_55023,plain,
( ( sK12(tl(iPr_def_12),nil) = sK56 )
| ~ ssList(sK12(tl(iPr_def_12),nil))
| ( tl(iPr_def_12) != sK56 ) ),
inference(superposition,[status(thm)],[c_33464,c_25191]) ).
tcf(c_55024,plain,
( frontsegP(tl(iPr_def_12),sK12(tl(iPr_def_12),nil))
| ~ ssList(sK12(tl(iPr_def_12),nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55011,c_141]) ).
tcf(c_55037,plain,
( ( sK12(tl(iPr_def_12),nil) = nil )
| ~ ssList(sK12(tl(iPr_def_12),nil))
| ( tl(iPr_def_12) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55009,c_141]) ).
tcf(c_55041,plain,
! [X0: $i] :
( memberP(tl(iPr_def_12),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(tl(iPr_def_12),nil))
| ~ memberP(sK12(tl(iPr_def_12),nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55017,c_141]) ).
tcf(c_55046,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_12),X0)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_12),nil))
| ~ frontsegP(sK12(tl(iPr_def_12),nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55016,c_141]) ).
tcf(c_55052,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK12(tl(iPr_def_12),nil),X0)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_12),X0)
| ~ ssList(sK12(tl(iPr_def_12),nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55008,c_141]) ).
tcf(c_55058,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_12),nil))
| ( app(sK12(tl(iPr_def_12),nil),X0) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55015,c_141]) ).
tcf(c_55063,plain,
! [X0: $i] :
( ( sK12(tl(iPr_def_12),nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_12),nil))
| ( app(X0,nil) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55014,c_141]) ).
tcf(c_55068,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_12),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_12),nil))
| ~ ssList(app(tl(iPr_def_12),X0)) ),
inference(light_normalisation,[status(thm)],[c_55005,c_33464]) ).
tcf(c_55069,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_12),X0),nil)
| ~ ssList(X0)
| ~ ssList(sK12(tl(iPr_def_12),nil))
| ~ ssList(app(tl(iPr_def_12),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55068,c_141]) ).
tcf(c_55170,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_11,cons(sK57,sK56)) = nil )
| ( app(iPr_def_11,cons(sK57,sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,cons(sK57,sK56)))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_11,cons(sK57,sK56))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_51790,c_223]) ).
tcf(c_55171,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_11,cons(sK57,sK56))))
| ( app(iPr_def_11,cons(sK57,sK56)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_11,cons(sK57,sK56)))
| ~ ssList(app(iPr_def_11,cons(sK57,sK56))) ),
inference(superposition,[status(thm)],[c_51790,c_212]) ).
tcf(c_55172,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_11,cons(sK57,sK56))))
| ( app(iPr_def_11,cons(sK57,sK56)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_11,cons(sK57,sK56)))
| ~ ssList(app(iPr_def_11,cons(sK57,sK56))) ),
inference(superposition,[status(thm)],[c_51790,c_206]) ).
tcf(c_55198,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ frontsegP(sK12(sK58,sK58),X0) ),
inference(superposition,[status(thm)],[c_20140,c_173]) ).
tcf(c_55199,plain,
( ( sK12(sK58,sK58) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK12(sK58,sK58))
| ~ frontsegP(sK12(sK58,sK58),iPr_def_12) ),
inference(superposition,[status(thm)],[c_20140,c_174]) ).
tcf(c_55200,plain,
( ( app(sK12(sK58,sK58),sK11(iPr_def_12,sK12(sK58,sK58))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK12(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_20140,c_63]) ).
tcf(c_55202,plain,
( ( app(sK12(sK58,sK58),sK11(iPr_def_12,sK12(sK58,sK58))) = iPr_def_12 )
| ~ ssList(sK12(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55200,c_12842]) ).
tcf(c_55205,plain,
( ( sK12(sK58,sK58) = iPr_def_12 )
| ~ ssList(sK12(sK58,sK58))
| ~ frontsegP(sK12(sK58,sK58),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55199,c_12842]) ).
tcf(c_55209,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ frontsegP(sK12(sK58,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55198,c_12842]) ).
tcf(c_55218,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_21286,c_183]) ).
tcf(c_55219,plain,
( ( sK11(sK59,sK59) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),iPr_def_10) ),
inference(superposition,[status(thm)],[c_21286,c_184]) ).
tcf(c_55220,plain,
( ( app(sK12(iPr_def_10,sK11(sK59,sK59)),sK11(sK59,sK59)) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK11(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_21286,c_66]) ).
tcf(c_55221,plain,
( ( app(sK12(iPr_def_10,sK11(sK59,sK59)),sK11(sK59,sK59)) = iPr_def_10 )
| ~ ssList(sK11(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55220,c_18245]) ).
tcf(c_55224,plain,
( ( sK11(sK59,sK59) = iPr_def_10 )
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55219,c_18245]) ).
tcf(c_55228,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,sK59))
| ~ rearsegP(sK11(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55218,c_18245]) ).
tcf(c_55239,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = sK58 )
| ( X0 = nil )
| ~ ssList(sK58)
| ~ ssList(X0)
| ( tl(X0) != tl(sK58) )
| ( hd(X0) != hd(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_21413,c_223]) ).
tcf(c_55240,plain,
! [X0: $i] :
( strictorderedP(cons(X0,sK58))
| ( nil = sK58 )
| ~ strictorderedP(sK58)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ lt(X0,hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_21413,c_212]) ).
tcf(c_55241,plain,
! [X0: $i] :
( totalorderedP(cons(X0,sK58))
| ( nil = sK58 )
| ~ totalorderedP(sK58)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ leq(X0,hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_21413,c_206]) ).
tcf(c_55242,plain,
( ( nil = sK58 )
| ( cons(hd(iPr_def_12),tl(sK58)) = sK58 ) ),
inference(superposition,[status(thm)],[c_21413,c_16298]) ).
tcf(c_55246,plain,
! [X0: $i] :
( totalorderedP(cons(X0,sK58))
| ( nil = sK58 )
| ~ totalorderedP(sK58)
| ~ ssItem(X0)
| ~ leq(X0,hd(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55241,c_8915]) ).
tcf(c_55252,plain,
! [X0: $i] :
( strictorderedP(cons(X0,sK58))
| ( nil = sK58 )
| ~ strictorderedP(sK58)
| ~ ssItem(X0)
| ~ lt(X0,hd(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55240,c_8915]) ).
tcf(c_55258,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = sK58 )
| ( X0 = nil )
| ~ ssList(X0)
| ( tl(X0) != tl(sK58) )
| ( hd(X0) != hd(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55239,c_8915]) ).
tcf(c_55311,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK59,sK58),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_43189,c_173]) ).
tcf(c_55312,plain,
! [X0: $i] :
( ( app(sK59,sK58) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK58))
| ~ frontsegP(X0,app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_43189,c_174]) ).
tcf(c_55313,plain,
! [X0: $i] :
( ( app(X0,sK11(app(sK59,sK58),X0)) = app(sK59,sK58) )
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_43189,c_63]) ).
tcf(c_55336,plain,
( ( app(sK58,sK11(app(sK58,sK58),sK58)) = app(sK58,sK58) )
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_153,c_43753]) ).
tcf(c_55337,plain,
app(sK58,sK11(app(sK58,sK58),sK58)) = app(sK58,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_55336,c_8915]) ).
tcf(c_55338,plain,
! [X0: $i] :
( segmentP(app(app(sK58,sK58),X0),sK11(app(sK58,sK58),sK58))
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ~ ssList(app(app(sK58,sK11(app(sK58,sK58),sK58)),X0)) ),
inference(superposition,[status(thm)],[c_55337,c_67]) ).
tcf(c_55341,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK11(app(sK58,sK58),sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(app(sK58,sK58),X0)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_55337,c_167]) ).
tcf(c_55342,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ( app(sK58,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_55337,c_231]) ).
tcf(c_55343,plain,
( ( sK11(app(sK58,sK58),sK58) = nil )
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ( app(sK58,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_55337,c_230]) ).
tcf(c_55344,plain,
( frontsegP(app(sK58,sK58),sK58)
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_55337,c_382]) ).
tcf(c_55345,plain,
( rearsegP(app(sK58,sK58),sK11(app(sK58,sK58),sK58))
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_55337,c_379]) ).
tcf(c_55346,plain,
( ssList(app(sK58,sK58))
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_55337,c_153]) ).
tcf(c_55347,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ( app(X0,sK11(app(sK58,sK58),sK58)) != app(sK58,sK58) ) ),
inference(superposition,[status(thm)],[c_55337,c_225]) ).
tcf(c_55348,plain,
! [X0: $i] :
( ( sK11(app(sK58,sK58),sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ( app(sK58,X0) != app(sK58,sK58) ) ),
inference(superposition,[status(thm)],[c_55337,c_226]) ).
tcf(c_55349,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK58),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_55337,c_176]) ).
tcf(c_55350,plain,
! [X0: $i] :
( memberP(app(sK58,sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_55337,c_165]) ).
tcf(c_55351,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,sK58),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ~ segmentP(sK11(app(sK58,sK58),sK58),X0) ),
inference(superposition,[status(thm)],[c_55337,c_193]) ).
tcf(c_55352,plain,
! [X0: $i] :
( rearsegP(app(sK58,sK58),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ~ rearsegP(sK11(app(sK58,sK58),sK58),X0) ),
inference(superposition,[status(thm)],[c_55337,c_186]) ).
tcf(c_55353,plain,
! [X0: $i] :
( memberP(app(sK58,sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ~ memberP(sK11(app(sK58,sK58),sK58),X0) ),
inference(superposition,[status(thm)],[c_55337,c_166]) ).
tcf(c_55354,plain,
( ( sK11(app(sK58,sK58),sK58) = iPr_def_11 )
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ( app(sK58,sK58) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_55337,c_25944]) ).
tcf(c_55355,plain,
( ( sK11(app(sK58,sK58),sK58) = nil )
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ( app(sK58,sK58) != sK58 ) ),
inference(superposition,[status(thm)],[c_55337,c_25912]) ).
tcf(c_55356,plain,
( segmentP(app(sK58,sK58),sK58)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ~ ssList(app(sK58,sK11(app(sK58,sK58),sK58))) ),
inference(superposition,[status(thm)],[c_55337,c_26286]) ).
tcf(c_55357,plain,
! [X0: $i] :
( segmentP(app(sK58,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_55337,c_26867]) ).
tcf(c_55358,plain,
! [X0: $i] :
( segmentP(app(sK58,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_55337,c_26852]) ).
tcf(c_55359,plain,
( ssList(app(sK58,sK58))
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55346,c_8915]) ).
tcf(c_55362,plain,
( frontsegP(app(sK58,sK58),sK58)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55344,c_8915]) ).
tcf(c_55373,plain,
( rearsegP(app(sK58,sK58),sK11(app(sK58,sK58),sK58))
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55345,c_8915]) ).
tcf(c_55376,plain,
( segmentP(app(sK58,sK58),sK58)
| ~ ssList(app(sK58,sK58))
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(light_normalisation,[status(thm)],[c_55356,c_55337]) ).
tcf(c_55380,plain,
( ( nil = sK58 )
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ( app(sK58,sK58) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55342,c_8915]) ).
tcf(c_55390,plain,
! [X0: $i] :
( memberP(app(sK58,sK58),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55350,c_8915]) ).
tcf(c_55395,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55349,c_8915]) ).
tcf(c_55400,plain,
( ( sK11(app(sK58,sK58),sK58) = nil )
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ( app(sK58,sK58) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55343,c_8915]) ).
tcf(c_55404,plain,
! [X0: $i] :
( memberP(app(sK58,sK58),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ~ memberP(sK11(app(sK58,sK58),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55353,c_8915]) ).
tcf(c_55409,plain,
! [X0: $i] :
( rearsegP(app(sK58,sK58),X0)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ~ rearsegP(sK11(app(sK58,sK58),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55352,c_8915]) ).
tcf(c_55414,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK11(app(sK58,sK58),sK58),X0)
| ~ ssItem(X0)
| ~ memberP(app(sK58,sK58),X0)
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55341,c_8915]) ).
tcf(c_55420,plain,
! [X0: $i] :
( ( sK11(app(sK58,sK58),sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ( app(sK58,X0) != app(sK58,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55348,c_8915]) ).
tcf(c_55425,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ( app(X0,sK11(app(sK58,sK58),sK58)) != app(sK58,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55347,c_8915]) ).
tcf(c_55430,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,sK58),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ~ segmentP(sK11(app(sK58,sK58),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55351,c_8915]) ).
tcf(c_55436,plain,
! [X0: $i] :
( segmentP(app(app(sK58,sK58),X0),sK11(app(sK58,sK58),sK58))
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ~ ssList(app(app(sK58,sK58),X0)) ),
inference(light_normalisation,[status(thm)],[c_55338,c_55337]) ).
tcf(c_55437,plain,
! [X0: $i] :
( segmentP(app(app(sK58,sK58),X0),sK11(app(sK58,sK58),sK58))
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ~ ssList(app(app(sK58,sK58),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55436,c_8915]) ).
tcf(c_55524,plain,
! [X0: $i] :
( rearsegP(app(sK58,sK58),X0)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ~ rearsegP(sK11(app(sK58,sK58),sK58),X0) ),
inference(superposition,[status(thm)],[c_55373,c_183]) ).
tcf(c_55525,plain,
( ( sK11(app(sK58,sK58),sK58) = app(sK58,sK58) )
| ~ ssList(app(sK58,sK58))
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ~ rearsegP(sK11(app(sK58,sK58),sK58),app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_55373,c_184]) ).
tcf(c_55526,plain,
( ( app(sK12(app(sK58,sK58),sK11(app(sK58,sK58),sK58)),sK11(app(sK58,sK58),sK58)) = app(sK58,sK58) )
| ~ ssList(app(sK58,sK58))
| ~ ssList(sK11(app(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_55373,c_66]) ).
tcf(c_55554,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK58,sK58),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_43760,c_173]) ).
tcf(c_55555,plain,
! [X0: $i] :
( ( app(sK58,sK58) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK58))
| ~ frontsegP(X0,app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_43760,c_174]) ).
tcf(c_55556,plain,
! [X0: $i] :
( ( app(X0,sK11(app(sK58,sK58),X0)) = app(sK58,sK58) )
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_43760,c_63]) ).
tcf(c_55579,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_12),X0),sK11(tl(iPr_def_12),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ~ ssList(app(app(nil,sK11(tl(iPr_def_12),nil)),X0)) ),
inference(superposition,[status(thm)],[c_33729,c_67]) ).
tcf(c_55582,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(tl(iPr_def_12),nil),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_12),X0)
| ~ ssList(sK11(tl(iPr_def_12),nil)) ),
inference(superposition,[status(thm)],[c_33729,c_167]) ).
tcf(c_55584,plain,
( ( sK11(tl(iPr_def_12),nil) = nil )
| ~ ssList(nil)
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ( tl(iPr_def_12) != nil ) ),
inference(superposition,[status(thm)],[c_33729,c_230]) ).
tcf(c_55586,plain,
( rearsegP(tl(iPr_def_12),sK11(tl(iPr_def_12),nil))
| ~ ssList(nil)
| ~ ssList(sK11(tl(iPr_def_12),nil)) ),
inference(superposition,[status(thm)],[c_33729,c_379]) ).
tcf(c_55588,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ( app(X0,sK11(tl(iPr_def_12),nil)) != tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_33729,c_225]) ).
tcf(c_55589,plain,
( ( sK11(tl(iPr_def_12),nil) = sK59 )
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ( tl(iPr_def_12) != sK59 ) ),
inference(superposition,[status(thm)],[c_33729,c_25928]) ).
tcf(c_55590,plain,
( ( sK11(tl(iPr_def_12),nil) = sK58 )
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ( tl(iPr_def_12) != sK58 ) ),
inference(superposition,[status(thm)],[c_33729,c_25924]) ).
tcf(c_55591,plain,
( ( sK11(tl(iPr_def_12),nil) = sK56 )
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ( tl(iPr_def_12) != sK56 ) ),
inference(superposition,[status(thm)],[c_33729,c_25920]) ).
tcf(c_55592,plain,
! [X0: $i] :
( ( sK11(tl(iPr_def_12),nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ( app(nil,X0) != tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_33729,c_226]) ).
tcf(c_55593,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_12),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK11(tl(iPr_def_12),nil)) ),
inference(superposition,[status(thm)],[c_33729,c_176]) ).
tcf(c_55595,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_12),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ~ segmentP(sK11(tl(iPr_def_12),nil),X0) ),
inference(superposition,[status(thm)],[c_33729,c_193]) ).
tcf(c_55596,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_12),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ~ rearsegP(sK11(tl(iPr_def_12),nil),X0) ),
inference(superposition,[status(thm)],[c_33729,c_186]) ).
tcf(c_55597,plain,
! [X0: $i] :
( memberP(tl(iPr_def_12),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ~ memberP(sK11(tl(iPr_def_12),nil),X0) ),
inference(superposition,[status(thm)],[c_33729,c_166]) ).
tcf(c_55598,plain,
( rearsegP(tl(iPr_def_12),sK11(tl(iPr_def_12),nil))
| ~ ssList(sK11(tl(iPr_def_12),nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55586,c_141]) ).
tcf(c_55611,plain,
( ( sK11(tl(iPr_def_12),nil) = nil )
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ( tl(iPr_def_12) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55584,c_141]) ).
tcf(c_55615,plain,
! [X0: $i] :
( memberP(tl(iPr_def_12),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ~ memberP(sK11(tl(iPr_def_12),nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55597,c_141]) ).
tcf(c_55620,plain,
! [X0: $i] :
( rearsegP(tl(iPr_def_12),X0)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ~ rearsegP(sK11(tl(iPr_def_12),nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55596,c_141]) ).
tcf(c_55625,plain,
! [X0: $i] :
( memberP(nil,X0)
| memberP(sK11(tl(iPr_def_12),nil),X0)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_12),X0)
| ~ ssList(sK11(tl(iPr_def_12),nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55582,c_141]) ).
tcf(c_55631,plain,
! [X0: $i] :
( ( sK11(tl(iPr_def_12),nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ( app(nil,X0) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55592,c_141]) ).
tcf(c_55636,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ( app(X0,sK11(tl(iPr_def_12),nil)) != tl(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55588,c_141]) ).
tcf(c_55641,plain,
! [X0: $i,X1: $i] :
( segmentP(app(tl(iPr_def_12),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ~ segmentP(sK11(tl(iPr_def_12),nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55595,c_141]) ).
tcf(c_55647,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_12),X0),sK11(tl(iPr_def_12),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ~ ssList(app(tl(iPr_def_12),X0)) ),
inference(light_normalisation,[status(thm)],[c_55579,c_33729]) ).
tcf(c_55648,plain,
! [X0: $i] :
( segmentP(app(tl(iPr_def_12),X0),sK11(tl(iPr_def_12),nil))
| ~ ssList(X0)
| ~ ssList(sK11(tl(iPr_def_12),nil))
| ~ ssList(app(tl(iPr_def_12),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55647,c_141]) ).
tcf(c_55800,plain,
( segmentP(sK56,nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_192,c_32191]) ).
tcf(c_55803,plain,
segmentP(sK56,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_55800,c_141]) ).
tcf(c_55814,plain,
( ( app(app(sK13(sK56,nil),nil),sK14(sK56,nil)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_55803,c_70]) ).
tcf(c_55815,plain,
! [X0: $i] :
( segmentP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_55803,c_190]) ).
tcf(c_55816,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ segmentP(nil,sK56) ),
inference(superposition,[status(thm)],[c_55803,c_191]) ).
tcf(c_55817,plain,
( ( nil = sK56 )
| ~ segmentP(nil,sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55816,c_8907,c_141]) ).
tcf(c_55821,plain,
app(app(sK13(sK56,nil),nil),sK14(sK56,nil)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_55814,c_8907,c_141]) ).
tcf(c_55836,plain,
( segmentP(sK58,nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_192,c_32244]) ).
tcf(c_55839,plain,
segmentP(sK58,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_55836,c_141]) ).
tcf(c_55842,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK14(sK56,nil))
| ~ ssList(X0)
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil))
| ~ ssList(app(app(app(sK13(sK56,nil),nil),sK14(sK56,nil)),X0)) ),
inference(superposition,[status(thm)],[c_55821,c_67]) ).
tcf(c_55845,plain,
! [X0: $i] :
( memberP(sK14(sK56,nil),X0)
| memberP(app(sK13(sK56,nil),nil),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil)) ),
inference(superposition,[status(thm)],[c_55821,c_167]) ).
tcf(c_55846,plain,
( ( app(sK13(sK56,nil),nil) = nil )
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_55821,c_231]) ).
tcf(c_55847,plain,
( ( sK14(sK56,nil) = nil )
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_55821,c_230]) ).
tcf(c_55848,plain,
( frontsegP(sK56,app(sK13(sK56,nil),nil))
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil)) ),
inference(superposition,[status(thm)],[c_55821,c_382]) ).
tcf(c_55849,plain,
( rearsegP(sK56,sK14(sK56,nil))
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil)) ),
inference(superposition,[status(thm)],[c_55821,c_379]) ).
tcf(c_55851,plain,
! [X0: $i] :
( ( app(sK13(sK56,nil),nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil))
| ( app(X0,sK14(sK56,nil)) != sK56 ) ),
inference(superposition,[status(thm)],[c_55821,c_225]) ).
tcf(c_55853,plain,
! [X0: $i] :
( ( sK14(sK56,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil))
| ( app(app(sK13(sK56,nil),nil),X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_55821,c_226]) ).
tcf(c_55854,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil))
| ~ frontsegP(app(sK13(sK56,nil),nil),X0) ),
inference(superposition,[status(thm)],[c_55821,c_176]) ).
tcf(c_55855,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK13(sK56,nil),nil))
| ~ memberP(app(sK13(sK56,nil),nil),X0) ),
inference(superposition,[status(thm)],[c_55821,c_165]) ).
tcf(c_55856,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK14(sK56,nil))
| ~ segmentP(sK14(sK56,nil),X0)
| ~ ssList(app(sK13(sK56,nil),nil)) ),
inference(superposition,[status(thm)],[c_55821,c_193]) ).
tcf(c_55857,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK14(sK56,nil))
| ~ rearsegP(sK14(sK56,nil),X0)
| ~ ssList(app(sK13(sK56,nil),nil)) ),
inference(superposition,[status(thm)],[c_55821,c_186]) ).
tcf(c_55858,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(sK56,nil))
| ~ memberP(sK14(sK56,nil),X0)
| ~ ssList(app(sK13(sK56,nil),nil)) ),
inference(superposition,[status(thm)],[c_55821,c_166]) ).
tcf(c_55859,plain,
! [X0: $i] :
( segmentP(sK56,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK14(sK56,nil))
| ~ ssList(sK13(sK56,nil)) ),
inference(superposition,[status(thm)],[c_55821,c_193]) ).
tcf(c_55917,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK14(sK56,nil))
| ~ ssList(X0)
| ~ ssList(sK14(sK56,nil))
| ~ ssList(app(sK56,X0))
| ~ ssList(app(sK13(sK56,nil),nil)) ),
inference(light_normalisation,[status(thm)],[c_55842,c_55821]) ).
tcf(c_56009,plain,
( ( app(sK58,sK11(app(sK58,sK59),sK58)) = app(sK58,sK59) )
| ~ ssList(sK59)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_153,c_43773]) ).
tcf(c_56010,plain,
app(sK58,sK11(app(sK58,sK59),sK58)) = app(sK58,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_56009,c_8916,c_8915]) ).
tcf(c_56011,plain,
! [X0: $i] :
( segmentP(app(app(sK58,sK59),X0),sK11(app(sK58,sK59),sK58))
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ~ ssList(app(app(sK58,sK11(app(sK58,sK59),sK58)),X0)) ),
inference(superposition,[status(thm)],[c_56010,c_67]) ).
tcf(c_56014,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK11(app(sK58,sK59),sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(app(sK58,sK59),X0)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_56010,c_167]) ).
tcf(c_56015,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ( app(sK58,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_56010,c_231]) ).
tcf(c_56016,plain,
( ( sK11(app(sK58,sK59),sK58) = nil )
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ( app(sK58,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_56010,c_230]) ).
tcf(c_56017,plain,
( frontsegP(app(sK58,sK59),sK58)
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_56010,c_382]) ).
tcf(c_56018,plain,
( rearsegP(app(sK58,sK59),sK11(app(sK58,sK59),sK58))
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_56010,c_379]) ).
tcf(c_56019,plain,
( ssList(app(sK58,sK59))
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_56010,c_153]) ).
tcf(c_56020,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ( app(X0,sK11(app(sK58,sK59),sK58)) != app(sK58,sK59) ) ),
inference(superposition,[status(thm)],[c_56010,c_225]) ).
tcf(c_56021,plain,
! [X0: $i] :
( ( sK11(app(sK58,sK59),sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ( app(sK58,X0) != app(sK58,sK59) ) ),
inference(superposition,[status(thm)],[c_56010,c_226]) ).
tcf(c_56022,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK59),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_56010,c_176]) ).
tcf(c_56023,plain,
! [X0: $i] :
( memberP(app(sK58,sK59),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_56010,c_165]) ).
tcf(c_56024,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,sK59),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ~ segmentP(sK11(app(sK58,sK59),sK58),X0) ),
inference(superposition,[status(thm)],[c_56010,c_193]) ).
tcf(c_56025,plain,
! [X0: $i] :
( rearsegP(app(sK58,sK59),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ~ rearsegP(sK11(app(sK58,sK59),sK58),X0) ),
inference(superposition,[status(thm)],[c_56010,c_186]) ).
tcf(c_56026,plain,
! [X0: $i] :
( memberP(app(sK58,sK59),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ~ memberP(sK11(app(sK58,sK59),sK58),X0) ),
inference(superposition,[status(thm)],[c_56010,c_166]) ).
tcf(c_56027,plain,
( ( sK11(app(sK58,sK59),sK58) = iPr_def_11 )
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ( app(sK58,sK59) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_56010,c_25944]) ).
tcf(c_56028,plain,
( ( sK11(app(sK58,sK59),sK58) = nil )
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ( app(sK58,sK59) != sK58 ) ),
inference(superposition,[status(thm)],[c_56010,c_25912]) ).
tcf(c_56029,plain,
( segmentP(app(sK58,sK59),sK58)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ~ ssList(app(sK58,sK11(app(sK58,sK59),sK58))) ),
inference(superposition,[status(thm)],[c_56010,c_26286]) ).
tcf(c_56030,plain,
! [X0: $i] :
( segmentP(app(sK58,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_56010,c_26867]) ).
tcf(c_56031,plain,
! [X0: $i] :
( segmentP(app(sK58,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_56010,c_26852]) ).
tcf(c_56032,plain,
( ssList(app(sK58,sK59))
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56019,c_8915]) ).
tcf(c_56035,plain,
( frontsegP(app(sK58,sK59),sK58)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56017,c_8915]) ).
tcf(c_56046,plain,
( rearsegP(app(sK58,sK59),sK11(app(sK58,sK59),sK58))
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56018,c_8915]) ).
tcf(c_56049,plain,
( segmentP(app(sK58,sK59),sK58)
| ~ ssList(app(sK58,sK59))
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(light_normalisation,[status(thm)],[c_56029,c_56010]) ).
tcf(c_56053,plain,
( ( nil = sK58 )
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ( app(sK58,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56015,c_8915]) ).
tcf(c_56063,plain,
! [X0: $i] :
( memberP(app(sK58,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56023,c_8915]) ).
tcf(c_56068,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56022,c_8915]) ).
tcf(c_56073,plain,
( ( sK11(app(sK58,sK59),sK58) = nil )
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ( app(sK58,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56016,c_8915]) ).
tcf(c_56077,plain,
! [X0: $i] :
( memberP(app(sK58,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ~ memberP(sK11(app(sK58,sK59),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56026,c_8915]) ).
tcf(c_56082,plain,
! [X0: $i] :
( rearsegP(app(sK58,sK59),X0)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ~ rearsegP(sK11(app(sK58,sK59),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56025,c_8915]) ).
tcf(c_56087,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK11(app(sK58,sK59),sK58),X0)
| ~ ssItem(X0)
| ~ memberP(app(sK58,sK59),X0)
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56014,c_8915]) ).
tcf(c_56093,plain,
! [X0: $i] :
( ( sK11(app(sK58,sK59),sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ( app(sK58,X0) != app(sK58,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56021,c_8915]) ).
tcf(c_56098,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ( app(X0,sK11(app(sK58,sK59),sK58)) != app(sK58,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56020,c_8915]) ).
tcf(c_56103,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,sK59),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ~ segmentP(sK11(app(sK58,sK59),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56024,c_8915]) ).
tcf(c_56109,plain,
! [X0: $i] :
( segmentP(app(app(sK58,sK59),X0),sK11(app(sK58,sK59),sK58))
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ~ ssList(app(app(sK58,sK59),X0)) ),
inference(light_normalisation,[status(thm)],[c_56011,c_56010]) ).
tcf(c_56110,plain,
! [X0: $i] :
( segmentP(app(app(sK58,sK59),X0),sK11(app(sK58,sK59),sK58))
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ~ ssList(app(app(sK58,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56109,c_8915]) ).
tcf(c_56195,plain,
! [X0: $i] :
( rearsegP(app(sK58,sK59),X0)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ~ rearsegP(sK11(app(sK58,sK59),sK58),X0) ),
inference(superposition,[status(thm)],[c_56046,c_183]) ).
tcf(c_56196,plain,
( ( sK11(app(sK58,sK59),sK58) = app(sK58,sK59) )
| ~ ssList(app(sK58,sK59))
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ~ rearsegP(sK11(app(sK58,sK59),sK58),app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_56046,c_184]) ).
tcf(c_56197,plain,
( ( app(sK12(app(sK58,sK59),sK11(app(sK58,sK59),sK58)),sK11(app(sK58,sK59),sK58)) = app(sK58,sK59) )
| ~ ssList(app(sK58,sK59))
| ~ ssList(sK11(app(sK58,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_56046,c_66]) ).
tcf(c_56248,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK58,sK59),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_43780,c_173]) ).
tcf(c_56249,plain,
! [X0: $i] :
( ( app(sK58,sK59) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK59))
| ~ frontsegP(X0,app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_43780,c_174]) ).
tcf(c_56250,plain,
! [X0: $i] :
( ( app(X0,sK11(app(sK58,sK59),X0)) = app(sK58,sK59) )
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_43780,c_63]) ).
tcf(c_56275,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( X0 = nil )
| ( cons(sK60,tl(sK56)) = nil )
| ( cons(sK60,tl(sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,tl(sK56)))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,tl(sK56))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_15929,c_223]) ).
tcf(c_56276,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,tl(sK56))))
| ( nil = sK56 )
| ( cons(sK60,tl(sK56)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,tl(sK56)))
| ~ ssList(cons(sK60,tl(sK56))) ),
inference(superposition,[status(thm)],[c_15929,c_212]) ).
tcf(c_56277,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,tl(sK56))))
| ( nil = sK56 )
| ( cons(sK60,tl(sK56)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,tl(sK56)))
| ~ ssList(cons(sK60,tl(sK56))) ),
inference(superposition,[status(thm)],[c_15929,c_206]) ).
tcf(c_56302,plain,
( ( app(app(sK13(sK58,nil),nil),sK14(sK58,nil)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_55839,c_70]) ).
tcf(c_56303,plain,
! [X0: $i] :
( segmentP(sK58,X0)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_55839,c_190]) ).
tcf(c_56304,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ segmentP(nil,sK58) ),
inference(superposition,[status(thm)],[c_55839,c_191]) ).
tcf(c_56307,plain,
( ( nil = sK58 )
| ~ segmentP(nil,sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56304,c_8915,c_141]) ).
tcf(c_56311,plain,
app(app(sK13(sK58,nil),nil),sK14(sK58,nil)) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_56302,c_8915,c_141]) ).
tcf(c_56442,plain,
( segmentP(sK59,nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_192,c_32314]) ).
tcf(c_56445,plain,
segmentP(sK59,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_56442,c_141]) ).
tcf(c_56446,plain,
( ( app(app(sK13(sK59,nil),nil),sK14(sK59,nil)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_56445,c_70]) ).
tcf(c_56447,plain,
! [X0: $i] :
( segmentP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_56445,c_190]) ).
tcf(c_56448,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ segmentP(nil,sK59) ),
inference(superposition,[status(thm)],[c_56445,c_191]) ).
tcf(c_56450,plain,
( ( nil = sK59 )
| ~ segmentP(nil,sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56448,c_8916,c_141]) ).
tcf(c_56454,plain,
app(app(sK13(sK59,nil),nil),sK14(sK59,nil)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_56446,c_8916,c_141]) ).
tcf(c_56461,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK14(sK58,nil))
| ~ ssList(X0)
| ~ ssList(sK14(sK58,nil))
| ~ ssList(app(sK13(sK58,nil),nil))
| ~ ssList(app(app(app(sK13(sK58,nil),nil),sK14(sK58,nil)),X0)) ),
inference(superposition,[status(thm)],[c_56311,c_67]) ).
tcf(c_56464,plain,
! [X0: $i] :
( memberP(sK14(sK58,nil),X0)
| memberP(app(sK13(sK58,nil),nil),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK14(sK58,nil))
| ~ ssList(app(sK13(sK58,nil),nil)) ),
inference(superposition,[status(thm)],[c_56311,c_167]) ).
tcf(c_56465,plain,
( ( app(sK13(sK58,nil),nil) = nil )
| ~ ssList(sK14(sK58,nil))
| ~ ssList(app(sK13(sK58,nil),nil))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_56311,c_231]) ).
tcf(c_56466,plain,
( ( sK14(sK58,nil) = nil )
| ~ ssList(sK14(sK58,nil))
| ~ ssList(app(sK13(sK58,nil),nil))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_56311,c_230]) ).
tcf(c_56467,plain,
( frontsegP(sK58,app(sK13(sK58,nil),nil))
| ~ ssList(sK14(sK58,nil))
| ~ ssList(app(sK13(sK58,nil),nil)) ),
inference(superposition,[status(thm)],[c_56311,c_382]) ).
tcf(c_56468,plain,
( rearsegP(sK58,sK14(sK58,nil))
| ~ ssList(sK14(sK58,nil))
| ~ ssList(app(sK13(sK58,nil),nil)) ),
inference(superposition,[status(thm)],[c_56311,c_379]) ).
tcf(c_56470,plain,
! [X0: $i] :
( ( app(sK13(sK58,nil),nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(sK58,nil))
| ~ ssList(app(sK13(sK58,nil),nil))
| ( app(X0,sK14(sK58,nil)) != sK58 ) ),
inference(superposition,[status(thm)],[c_56311,c_225]) ).
tcf(c_56472,plain,
! [X0: $i] :
( ( sK14(sK58,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(sK58,nil))
| ~ ssList(app(sK13(sK58,nil),nil))
| ( app(app(sK13(sK58,nil),nil),X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_56311,c_226]) ).
tcf(c_56473,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK14(sK58,nil))
| ~ ssList(app(sK13(sK58,nil),nil))
| ~ frontsegP(app(sK13(sK58,nil),nil),X0) ),
inference(superposition,[status(thm)],[c_56311,c_176]) ).
tcf(c_56474,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(sK58,nil))
| ~ ssList(app(sK13(sK58,nil),nil))
| ~ memberP(app(sK13(sK58,nil),nil),X0) ),
inference(superposition,[status(thm)],[c_56311,c_165]) ).
tcf(c_56475,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK14(sK58,nil))
| ~ segmentP(sK14(sK58,nil),X0)
| ~ ssList(app(sK13(sK58,nil),nil)) ),
inference(superposition,[status(thm)],[c_56311,c_193]) ).
tcf(c_56476,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK14(sK58,nil))
| ~ rearsegP(sK14(sK58,nil),X0)
| ~ ssList(app(sK13(sK58,nil),nil)) ),
inference(superposition,[status(thm)],[c_56311,c_186]) ).
tcf(c_56477,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(sK58,nil))
| ~ memberP(sK14(sK58,nil),X0)
| ~ ssList(app(sK13(sK58,nil),nil)) ),
inference(superposition,[status(thm)],[c_56311,c_166]) ).
tcf(c_56478,plain,
! [X0: $i] :
( segmentP(sK58,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK14(sK58,nil))
| ~ ssList(sK13(sK58,nil)) ),
inference(superposition,[status(thm)],[c_56311,c_193]) ).
tcf(c_56536,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK14(sK58,nil))
| ~ ssList(X0)
| ~ ssList(sK14(sK58,nil))
| ~ ssList(app(sK58,X0))
| ~ ssList(app(sK13(sK58,nil),nil)) ),
inference(light_normalisation,[status(thm)],[c_56461,c_56311]) ).
tcf(c_56577,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK14(sK59,nil))
| ~ ssList(X0)
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil))
| ~ ssList(app(app(app(sK13(sK59,nil),nil),sK14(sK59,nil)),X0)) ),
inference(superposition,[status(thm)],[c_56454,c_67]) ).
tcf(c_56580,plain,
! [X0: $i] :
( memberP(sK14(sK59,nil),X0)
| memberP(app(sK13(sK59,nil),nil),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil)) ),
inference(superposition,[status(thm)],[c_56454,c_167]) ).
tcf(c_56581,plain,
( ( app(sK13(sK59,nil),nil) = nil )
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_56454,c_231]) ).
tcf(c_56582,plain,
( ( sK14(sK59,nil) = nil )
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_56454,c_230]) ).
tcf(c_56583,plain,
( frontsegP(sK59,app(sK13(sK59,nil),nil))
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil)) ),
inference(superposition,[status(thm)],[c_56454,c_382]) ).
tcf(c_56584,plain,
( rearsegP(sK59,sK14(sK59,nil))
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil)) ),
inference(superposition,[status(thm)],[c_56454,c_379]) ).
tcf(c_56586,plain,
! [X0: $i] :
( ( app(sK13(sK59,nil),nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil))
| ( app(X0,sK14(sK59,nil)) != sK59 ) ),
inference(superposition,[status(thm)],[c_56454,c_225]) ).
tcf(c_56588,plain,
! [X0: $i] :
( ( sK14(sK59,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil))
| ( app(app(sK13(sK59,nil),nil),X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_56454,c_226]) ).
tcf(c_56589,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil))
| ~ frontsegP(app(sK13(sK59,nil),nil),X0) ),
inference(superposition,[status(thm)],[c_56454,c_176]) ).
tcf(c_56590,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK13(sK59,nil),nil))
| ~ memberP(app(sK13(sK59,nil),nil),X0) ),
inference(superposition,[status(thm)],[c_56454,c_165]) ).
tcf(c_56591,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK14(sK59,nil))
| ~ segmentP(sK14(sK59,nil),X0)
| ~ ssList(app(sK13(sK59,nil),nil)) ),
inference(superposition,[status(thm)],[c_56454,c_193]) ).
tcf(c_56592,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK14(sK59,nil))
| ~ rearsegP(sK14(sK59,nil),X0)
| ~ ssList(app(sK13(sK59,nil),nil)) ),
inference(superposition,[status(thm)],[c_56454,c_186]) ).
tcf(c_56593,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK14(sK59,nil))
| ~ memberP(sK14(sK59,nil),X0)
| ~ ssList(app(sK13(sK59,nil),nil)) ),
inference(superposition,[status(thm)],[c_56454,c_166]) ).
tcf(c_56594,plain,
! [X0: $i] :
( segmentP(sK59,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK14(sK59,nil))
| ~ ssList(sK13(sK59,nil)) ),
inference(superposition,[status(thm)],[c_56454,c_193]) ).
tcf(c_56652,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK14(sK59,nil))
| ~ ssList(X0)
| ~ ssList(sK14(sK59,nil))
| ~ ssList(app(sK59,X0))
| ~ ssList(app(sK13(sK59,nil),nil)) ),
inference(light_normalisation,[status(thm)],[c_56577,c_56454]) ).
tcf(c_56703,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_37873,c_45758]) ).
tcf(c_56704,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_41515,c_45758]) ).
tcf(c_56705,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_45008,c_45758]) ).
tcf(c_56706,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(cons(sK57,sK56),X0),X1),X1),sK14(app(cons(sK57,sK56),X0),X1)) = app(cons(sK57,sK56),X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X1)
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(superposition,[status(thm)],[c_45758,c_70]) ).
tcf(c_56707,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(cons(sK57,sK56),X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(superposition,[status(thm)],[c_45758,c_190]) ).
tcf(c_56708,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK57,sK56),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(cons(sK57,sK56),X1))
| ~ segmentP(X0,app(cons(sK57,sK56),X1)) ),
inference(superposition,[status(thm)],[c_45758,c_191]) ).
tcf(c_56709,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56705,c_8907]) ).
tcf(c_56713,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56704,c_8915]) ).
tcf(c_56717,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56703,c_8916]) ).
tcf(c_57018,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK56,sK56)),X0),X0),sK14(cons(sK57,app(sK56,sK56)),X0)) = cons(sK57,app(sK56,sK56)) )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_56709,c_70]) ).
tcf(c_57019,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK56,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,X1)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_56709,c_190]) ).
tcf(c_57020,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK56)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,app(sK56,sK56)))
| ~ segmentP(X0,cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_56709,c_191]) ).
tcf(c_57021,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK56,sK56)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57019,c_46972]) ).
tcf(c_57027,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK56)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,cons(sK57,app(sK56,sK56))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57020,c_46972]) ).
tcf(c_57032,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK56,sK56)),X0),X0),sK14(cons(sK57,app(sK56,sK56)),X0)) = cons(sK57,app(sK56,sK56)) )
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57018,c_46972]) ).
tcf(c_57045,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK56,sK58)),X0),X0),sK14(cons(sK57,app(sK56,sK58)),X0)) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_56713,c_70]) ).
tcf(c_57046,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK56,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,X1)
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_56713,c_190]) ).
tcf(c_57047,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK58)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,app(sK56,sK58)))
| ~ segmentP(X0,cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_56713,c_191]) ).
tcf(c_57048,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK56,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57046,c_45770]) ).
tcf(c_57054,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK58)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,cons(sK57,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57047,c_45770]) ).
tcf(c_57059,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK56,sK58)),X0),X0),sK14(cons(sK57,app(sK56,sK58)),X0)) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57045,c_45770]) ).
tcf(c_57072,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK56,sK59)),X0),X0),sK14(cons(sK57,app(sK56,sK59)),X0)) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_56717,c_70]) ).
tcf(c_57073,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK56,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,X1)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_56717,c_190]) ).
tcf(c_57074,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK59)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,app(sK56,sK59)))
| ~ segmentP(X0,cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_56717,c_191]) ).
tcf(c_57075,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK57,app(sK56,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57073,c_45773]) ).
tcf(c_57081,plain,
! [X0: $i] :
( ( cons(sK57,app(sK56,sK59)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,cons(sK57,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57074,c_45773]) ).
tcf(c_57086,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK57,app(sK56,sK59)),X0),X0),sK14(cons(sK57,app(sK56,sK59)),X0)) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57072,c_45773]) ).
tcf(c_57099,plain,
( segmentP(cons(sK57,app(sK56,sK59)),sK56)
| ~ ssList(sK59)
| ~ ssList(app(cons(sK57,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_37873,c_45764]) ).
tcf(c_57100,plain,
( segmentP(cons(sK57,app(sK56,sK58)),sK56)
| ~ ssList(sK58)
| ~ ssList(app(cons(sK57,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_41515,c_45764]) ).
tcf(c_57101,plain,
( segmentP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(app(cons(sK57,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_45008,c_45764]) ).
tcf(c_57102,plain,
! [X0: $i] :
( ( app(app(sK13(app(cons(sK57,sK56),X0),sK56),sK56),sK14(app(cons(sK57,sK56),X0),sK56)) = app(cons(sK57,sK56),X0) )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(superposition,[status(thm)],[c_45764,c_70]) ).
tcf(c_57103,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK56),X0),X1)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X1)
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(superposition,[status(thm)],[c_45764,c_190]) ).
tcf(c_57104,plain,
! [X0: $i] :
( ( app(cons(sK57,sK56),X0) = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK56),X0))
| ~ segmentP(sK56,app(cons(sK57,sK56),X0)) ),
inference(superposition,[status(thm)],[c_45764,c_191]) ).
tcf(c_57105,plain,
( segmentP(cons(sK57,app(sK56,sK56)),sK56)
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(light_normalisation,[status(thm)],[c_57101,c_45008]) ).
tcf(c_57106,plain,
segmentP(cons(sK57,app(sK56,sK56)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_57105,c_8907,c_46972]) ).
tcf(c_57107,plain,
( segmentP(cons(sK57,app(sK56,sK58)),sK56)
| ~ ssList(sK58)
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(light_normalisation,[status(thm)],[c_57100,c_41515]) ).
tcf(c_57108,plain,
segmentP(cons(sK57,app(sK56,sK58)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_57107,c_8915,c_45770]) ).
tcf(c_57109,plain,
( segmentP(cons(sK57,app(sK56,sK59)),sK56)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(light_normalisation,[status(thm)],[c_57099,c_37873]) ).
tcf(c_57110,plain,
segmentP(cons(sK57,app(sK56,sK59)),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_57109,c_8916,c_45773]) ).
tcf(c_57111,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK56),X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X1)
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57103,c_8907]) ).
tcf(c_57117,plain,
! [X0: $i] :
( ( app(cons(sK57,sK56),X0) = sK56 )
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK56),X0))
| ~ segmentP(sK56,app(cons(sK57,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57104,c_8907]) ).
tcf(c_57122,plain,
! [X0: $i] :
( ( app(app(sK13(app(cons(sK57,sK56),X0),sK56),sK56),sK14(app(cons(sK57,sK56),X0),sK56)) = app(cons(sK57,sK56),X0) )
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57102,c_8907]) ).
tcf(c_57155,plain,
( ( app(app(sK13(cons(sK57,app(sK56,sK56)),sK56),sK56),sK14(cons(sK57,app(sK56,sK56)),sK56)) = cons(sK57,app(sK56,sK56)) )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_57106,c_70]) ).
tcf(c_57156,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK56)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_57106,c_190]) ).
tcf(c_57157,plain,
( ( cons(sK57,app(sK56,sK56)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK56,sK56)))
| ~ segmentP(sK56,cons(sK57,app(sK56,sK56))) ),
inference(superposition,[status(thm)],[c_57106,c_191]) ).
tcf(c_57159,plain,
~ segmentP(sK56,cons(sK57,app(sK56,sK56))),
inference(forward_subsumption_resolution,[status(thm)],[c_57157,c_46975,c_8907,c_46972]) ).
tcf(c_57160,plain,
app(app(sK13(cons(sK57,app(sK56,sK56)),sK56),sK56),sK14(cons(sK57,app(sK56,sK56)),sK56)) = cons(sK57,app(sK56,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_57155,c_8907,c_46972]) ).
tcf(c_57161,plain,
cons(hd(iPr_def_13),tl(iPr_def_13)) = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_16300,c_16300,c_17651,c_17747]) ).
tcf(c_57164,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(app(cons(sK57,sK59),nil),X0)) ),
inference(superposition,[status(thm)],[c_38597,c_67]) ).
tcf(c_57170,plain,
( frontsegP(cons(sK57,sK59),cons(sK57,sK59))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38597,c_382]) ).
tcf(c_57171,plain,
( rearsegP(cons(sK57,sK59),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38597,c_379]) ).
tcf(c_57173,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(X0,nil) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_38597,c_225]) ).
tcf(c_57174,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(cons(sK57,sK59),X0) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_38597,c_226]) ).
tcf(c_57177,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK59),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38597,c_193]) ).
tcf(c_57178,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38597,c_186]) ).
tcf(c_57183,plain,
( segmentP(cons(sK57,sK59),sK59)
| ~ ssList(nil)
| ~ ssList(app(cons(sK57,sK59),nil)) ),
inference(superposition,[status(thm)],[c_38597,c_38537]) ).
tcf(c_57184,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_38597,c_38531]) ).
tcf(c_57185,plain,
rearsegP(cons(sK57,sK59),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_57171,c_141,c_38491]) ).
tcf(c_57186,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57184,c_141]) ).
tcf(c_57190,plain,
( segmentP(cons(sK57,sK59),sK59)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(light_normalisation,[status(thm)],[c_57183,c_38597]) ).
tcf(c_57191,plain,
segmentP(cons(sK57,sK59),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_57190,c_141,c_38491]) ).
tcf(c_57192,plain,
frontsegP(cons(sK57,sK59),cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_57170,c_141,c_38491]) ).
tcf(c_57193,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57178,c_141,c_38491]) ).
tcf(c_57197,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK59),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57177,c_141,c_38491]) ).
tcf(c_57202,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK57,sK59),X0) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57174,c_141,c_38491]) ).
tcf(c_57206,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57173,c_141,c_38491]) ).
tcf(c_57210,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(light_normalisation,[status(thm)],[c_57164,c_38597]) ).
tcf(c_57211,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57210,c_141,c_38491]) ).
tcf(c_57220,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59))
| ~ rearsegP(nil,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_57185,c_184]) ).
tcf(c_57221,plain,
( ( app(sK12(cons(sK57,sK59),nil),nil) = cons(sK57,sK59) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_57185,c_66]) ).
tcf(c_57222,plain,
app(sK12(cons(sK57,sK59),nil),nil) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_57221,c_141,c_38491]) ).
tcf(c_57223,plain,
~ rearsegP(nil,cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_57220,c_38501,c_141,c_38491]) ).
tcf(c_57226,plain,
( ( app(cons(sK57,sK59),sK11(cons(sK57,sK59),cons(sK57,sK59))) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_57192,c_63]) ).
tcf(c_57229,plain,
app(cons(sK57,sK59),sK11(cons(sK57,sK59),cons(sK57,sK59))) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_57226,c_38491]) ).
tcf(c_57230,plain,
( ( app(app(sK13(cons(sK57,sK59),sK59),sK59),sK14(cons(sK57,sK59),sK59)) = cons(sK57,sK59) )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_57191,c_70]) ).
tcf(c_57231,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_57191,c_190]) ).
tcf(c_57232,plain,
( ( cons(sK57,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(sK59,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_57191,c_191]) ).
tcf(c_57233,plain,
~ segmentP(sK59,cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_57232,c_38494,c_8916,c_38491]) ).
tcf(c_57235,plain,
app(app(sK13(cons(sK57,sK59),sK59),sK59),sK14(cons(sK57,sK59),sK59)) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_57230,c_8916,c_38491]) ).
tcf(c_57266,plain,
( ( app(app(sK13(cons(sK57,app(sK56,sK58)),sK56),sK56),sK14(cons(sK57,app(sK56,sK58)),sK56)) = cons(sK57,app(sK56,sK58)) )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_57108,c_70]) ).
tcf(c_57267,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK58)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_57108,c_190]) ).
tcf(c_57268,plain,
( ( cons(sK57,app(sK56,sK58)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK56,sK58)))
| ~ segmentP(sK56,cons(sK57,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_57108,c_191]) ).
tcf(c_57270,plain,
( ( cons(sK57,app(sK56,sK58)) = sK56 )
| ~ segmentP(sK56,cons(sK57,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57268,c_8907,c_45770]) ).
tcf(c_57273,plain,
app(app(sK13(cons(sK57,app(sK56,sK58)),sK56),sK56),sK14(cons(sK57,app(sK56,sK58)),sK56)) = cons(sK57,app(sK56,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_57266,c_8907,c_45770]) ).
tcf(c_57274,plain,
( ( app(app(sK13(cons(sK57,app(sK56,sK59)),sK56),sK56),sK14(cons(sK57,app(sK56,sK59)),sK56)) = cons(sK57,app(sK56,sK59)) )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_57110,c_70]) ).
tcf(c_57275,plain,
! [X0: $i] :
( segmentP(cons(sK57,app(sK56,sK59)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_57110,c_190]) ).
tcf(c_57276,plain,
( ( cons(sK57,app(sK56,sK59)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,app(sK56,sK59)))
| ~ segmentP(sK56,cons(sK57,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_57110,c_191]) ).
tcf(c_57278,plain,
( ( cons(sK57,app(sK56,sK59)) = sK56 )
| ~ segmentP(sK56,cons(sK57,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57276,c_8907,c_45773]) ).
tcf(c_57281,plain,
app(app(sK13(cons(sK57,app(sK56,sK59)),sK56),sK56),sK14(cons(sK57,app(sK56,sK59)),sK56)) = cons(sK57,app(sK56,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_57274,c_8907,c_45773]) ).
tcf(c_57294,plain,
( ( app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56) )
| ~ ssList(sK56)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_153,c_46372]) ).
tcf(c_57295,plain,
app(sK59,sK11(app(sK59,sK56),sK59)) = app(sK59,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_57294,c_8907,c_8916]) ).
tcf(c_57296,plain,
! [X0: $i] :
( segmentP(app(app(sK59,sK56),X0),sK11(app(sK59,sK56),sK59))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ~ ssList(app(app(sK59,sK11(app(sK59,sK56),sK59)),X0)) ),
inference(superposition,[status(thm)],[c_57295,c_67]) ).
tcf(c_57299,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK11(app(sK59,sK56),sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(app(sK59,sK56),X0)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_57295,c_167]) ).
tcf(c_57300,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_57295,c_231]) ).
tcf(c_57301,plain,
( ( sK11(app(sK59,sK56),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_57295,c_230]) ).
tcf(c_57302,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_57295,c_382]) ).
tcf(c_57303,plain,
( rearsegP(app(sK59,sK56),sK11(app(sK59,sK56),sK59))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_57295,c_379]) ).
tcf(c_57304,plain,
( ssList(app(sK59,sK56))
| ~ ssList(sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_57295,c_153]) ).
tcf(c_57305,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(X0,sK11(app(sK59,sK56),sK59)) != app(sK59,sK56) ) ),
inference(superposition,[status(thm)],[c_57295,c_225]) ).
tcf(c_57306,plain,
! [X0: $i] :
( ( sK11(app(sK59,sK56),sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,X0) != app(sK59,sK56) ) ),
inference(superposition,[status(thm)],[c_57295,c_226]) ).
tcf(c_57307,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK56),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_57295,c_176]) ).
tcf(c_57308,plain,
! [X0: $i] :
( memberP(app(sK59,sK56),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_57295,c_165]) ).
tcf(c_57309,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,sK56),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ~ segmentP(sK11(app(sK59,sK56),sK59),X0) ),
inference(superposition,[status(thm)],[c_57295,c_193]) ).
tcf(c_57310,plain,
! [X0: $i] :
( rearsegP(app(sK59,sK56),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ~ rearsegP(sK11(app(sK59,sK56),sK59),X0) ),
inference(superposition,[status(thm)],[c_57295,c_186]) ).
tcf(c_57311,plain,
! [X0: $i] :
( memberP(app(sK59,sK56),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ~ memberP(sK11(app(sK59,sK56),sK59),X0) ),
inference(superposition,[status(thm)],[c_57295,c_166]) ).
tcf(c_57312,plain,
( ( sK11(app(sK59,sK56),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != sK59 ) ),
inference(superposition,[status(thm)],[c_57295,c_25916]) ).
tcf(c_57313,plain,
( segmentP(app(sK59,sK56),sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ~ ssList(app(sK59,sK11(app(sK59,sK56),sK59))) ),
inference(superposition,[status(thm)],[c_57295,c_26291]) ).
tcf(c_57314,plain,
! [X0: $i] :
( segmentP(app(sK59,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_57295,c_26872]) ).
tcf(c_57315,plain,
! [X0: $i] :
( segmentP(app(sK59,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_57295,c_26857]) ).
tcf(c_57316,plain,
( ssList(app(sK59,sK56))
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57304,c_8916]) ).
tcf(c_57319,plain,
( frontsegP(app(sK59,sK56),sK59)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57302,c_8916]) ).
tcf(c_57330,plain,
( rearsegP(app(sK59,sK56),sK11(app(sK59,sK56),sK59))
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57303,c_8916]) ).
tcf(c_57333,plain,
( segmentP(app(sK59,sK56),sK59)
| ~ ssList(app(sK59,sK56))
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(light_normalisation,[status(thm)],[c_57313,c_57295]) ).
tcf(c_57337,plain,
( ( nil = sK59 )
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57300,c_8916]) ).
tcf(c_57344,plain,
! [X0: $i] :
( memberP(app(sK59,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57308,c_8916]) ).
tcf(c_57349,plain,
! [X0: $i] :
( frontsegP(app(sK59,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57307,c_8916]) ).
tcf(c_57354,plain,
( ( sK11(app(sK59,sK56),sK59) = nil )
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57301,c_8916]) ).
tcf(c_57358,plain,
! [X0: $i] :
( memberP(app(sK59,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ~ memberP(sK11(app(sK59,sK56),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57311,c_8916]) ).
tcf(c_57363,plain,
! [X0: $i] :
( rearsegP(app(sK59,sK56),X0)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ~ rearsegP(sK11(app(sK59,sK56),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57310,c_8916]) ).
tcf(c_57368,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK11(app(sK59,sK56),sK59),X0)
| ~ ssItem(X0)
| ~ memberP(app(sK59,sK56),X0)
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57299,c_8916]) ).
tcf(c_57374,plain,
! [X0: $i] :
( ( sK11(app(sK59,sK56),sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(sK59,X0) != app(sK59,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57306,c_8916]) ).
tcf(c_57379,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ( app(X0,sK11(app(sK59,sK56),sK59)) != app(sK59,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57305,c_8916]) ).
tcf(c_57384,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,sK56),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ~ segmentP(sK11(app(sK59,sK56),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57309,c_8916]) ).
tcf(c_57390,plain,
! [X0: $i] :
( segmentP(app(app(sK59,sK56),X0),sK11(app(sK59,sK56),sK59))
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ~ ssList(app(app(sK59,sK56),X0)) ),
inference(light_normalisation,[status(thm)],[c_57296,c_57295]) ).
tcf(c_57391,plain,
! [X0: $i] :
( segmentP(app(app(sK59,sK56),X0),sK11(app(sK59,sK56),sK59))
| ~ ssList(X0)
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ~ ssList(app(app(sK59,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57390,c_8916]) ).
tcf(c_57506,plain,
! [X0: $i] :
( rearsegP(app(sK59,sK56),X0)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ~ rearsegP(sK11(app(sK59,sK56),sK59),X0) ),
inference(superposition,[status(thm)],[c_57330,c_183]) ).
tcf(c_57507,plain,
( ( sK11(app(sK59,sK56),sK59) = app(sK59,sK56) )
| ~ ssList(app(sK59,sK56))
| ~ ssList(sK11(app(sK59,sK56),sK59))
| ~ rearsegP(sK11(app(sK59,sK56),sK59),app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_57330,c_184]) ).
tcf(c_57508,plain,
( ( app(sK12(app(sK59,sK56),sK11(app(sK59,sK56),sK59)),sK11(app(sK59,sK56),sK59)) = app(sK59,sK56) )
| ~ ssList(app(sK59,sK56))
| ~ ssList(sK11(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_57330,c_66]) ).
tcf(c_57522,plain,
cons(hd(iPr_def_12),tl(iPr_def_12)) = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_16301,c_16301,c_17651]) ).
tcf(c_57524,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ ssList(app(app(X0,cons(hd(iPr_def_12),X1)),iPr_def_12))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_12),X1)),cons(hd(iPr_def_12),tl(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_57522,c_130]) ).
tcf(c_57525,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(iPr_def_12),tl(iPr_def_12))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_57522,c_122]) ).
tcf(c_57526,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ ssList(app(app(X0,iPr_def_12),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(iPr_def_12),tl(iPr_def_12))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_57522,c_114]) ).
tcf(c_57527,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ ssList(app(app(X0,iPr_def_12),cons(hd(iPr_def_12),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_12),tl(iPr_def_12))),cons(hd(iPr_def_12),X1))) ),
inference(superposition,[status(thm)],[c_57522,c_130]) ).
tcf(c_57531,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_12),hd(iPr_def_12))
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ ssList(app(X0,cons(hd(iPr_def_12),tl(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_57522,c_54]) ).
tcf(c_57532,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_12))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_12),tl(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_57522,c_122]) ).
tcf(c_57533,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_12))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ ssList(app(app(X0,cons(X1,X2)),iPr_def_12))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(iPr_def_12),tl(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_57522,c_114]) ).
tcf(c_57537,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_12) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ ssList(app(X0,cons(X1,iPr_def_12)))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(iPr_def_12),tl(iPr_def_12))))) ),
inference(superposition,[status(thm)],[c_57522,c_137]) ).
tcf(c_57540,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_12) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(superposition,[status(thm)],[c_57522,c_178]) ).
tcf(c_57541,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(iPr_def_12))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(superposition,[status(thm)],[c_57522,c_179]) ).
tcf(c_57542,plain,
( ( tl(iPr_def_12) = nil )
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ( iPr_def_11 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_57522,c_27842]) ).
tcf(c_57543,plain,
( ( hd(iPr_def_12) = sK57 )
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ( iPr_def_11 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_57522,c_27744]) ).
tcf(c_57544,plain,
( ( hd(iPr_def_12) = sK57 )
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57522,c_27481]) ).
tcf(c_57545,plain,
( ( hd(iPr_def_12) = sK57 )
| ~ frontsegP(iPr_def_12,iPr_def_11)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57522,c_27471]) ).
tcf(c_57546,plain,
( frontsegP(nil,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57522,c_26657]) ).
tcf(c_57547,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_57522,c_144]) ).
tcf(c_57548,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_12) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_57522,c_143]) ).
tcf(c_57549,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_12) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_57522,c_178]) ).
tcf(c_57550,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(iPr_def_12),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_57522,c_179]) ).
tcf(c_57551,plain,
! [X0: $i] :
( memberP(tl(iPr_def_12),X0)
| ( hd(iPr_def_12) = X0 )
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_57522,c_170]) ).
tcf(c_57552,plain,
( lt(hd(iPr_def_12),hd(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ strictorderedP(iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57522,c_214]) ).
tcf(c_57553,plain,
( leq(hd(iPr_def_12),hd(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ totalorderedP(iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57522,c_208]) ).
tcf(c_57554,plain,
( strictorderedP(tl(iPr_def_12))
| ( tl(iPr_def_12) = nil )
| ~ strictorderedP(iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57522,c_213]) ).
tcf(c_57555,plain,
( totalorderedP(tl(iPr_def_12))
| ( tl(iPr_def_12) = nil )
| ~ totalorderedP(iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57522,c_207]) ).
tcf(c_57557,plain,
( ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ( tl(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_57522,c_142]) ).
tcf(c_57558,plain,
( memberP(iPr_def_12,hd(iPr_def_12))
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57522,c_168]) ).
tcf(c_57560,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,cons(hd(iPr_def_12),X0))
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_57522,c_177]) ).
tcf(c_57561,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ memberP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_57522,c_169]) ).
tcf(c_57562,plain,
! [X0: $i] :
( frontsegP(cons(hd(iPr_def_12),X0),iPr_def_12)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ frontsegP(X0,tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57522,c_177]) ).
tcf(c_57563,plain,
memberP(iPr_def_12,hd(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_57558,c_19014,c_25586]) ).
tcf(c_57564,plain,
tl(iPr_def_12) != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_57557,c_19014,c_25586]) ).
tcf(c_57565,plain,
( frontsegP(nil,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57546,c_19014,c_25586]) ).
tcf(c_57568,plain,
( ( hd(iPr_def_12) = sK57 )
| ~ frontsegP(iPr_def_12,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57545,c_19014,c_25586]) ).
tcf(c_57571,plain,
( ( hd(iPr_def_12) = sK57 )
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57544,c_19014,c_25586]) ).
tcf(c_57574,plain,
( ( hd(iPr_def_12) = sK57 )
| ( iPr_def_11 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57543,c_19014,c_25586]) ).
tcf(c_57577,plain,
( ( tl(iPr_def_12) = nil )
| ( iPr_def_11 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57542,c_19014,c_25586]) ).
tcf(c_57580,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57561,c_19014,c_25586]) ).
tcf(c_57584,plain,
( totalorderedP(tl(iPr_def_12))
| ( tl(iPr_def_12) = nil )
| ~ totalorderedP(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57555,c_19014,c_25586]) ).
tcf(c_57588,plain,
( strictorderedP(tl(iPr_def_12))
| ( tl(iPr_def_12) = nil )
| ~ strictorderedP(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57554,c_19014,c_25586]) ).
tcf(c_57592,plain,
! [X0: $i] :
( frontsegP(cons(hd(iPr_def_12),X0),iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(X0,tl(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57562,c_19014,c_25586]) ).
tcf(c_57596,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,cons(hd(iPr_def_12),X0))
| ~ ssList(X0)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57560,c_19014,c_25586]) ).
tcf(c_57600,plain,
( leq(hd(iPr_def_12),hd(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ totalorderedP(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57553,c_19014,c_25586]) ).
tcf(c_57604,plain,
( lt(hd(iPr_def_12),hd(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ strictorderedP(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57552,c_19014,c_25586]) ).
tcf(c_57608,plain,
! [X0: $i] :
( memberP(tl(iPr_def_12),X0)
| ( hd(iPr_def_12) = X0 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57551,c_19014,c_25586]) ).
tcf(c_57613,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(iPr_def_12),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57550,c_19014,c_25586]) ).
tcf(c_57618,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(iPr_def_12))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57541,c_19014,c_25586]) ).
tcf(c_57623,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_12) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57549,c_19014,c_25586]) ).
tcf(c_57628,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_12) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57540,c_19014,c_25586]) ).
tcf(c_57633,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_12) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57548,c_19014,c_25586]) ).
tcf(c_57638,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57547,c_19014,c_25586]) ).
tcf(c_57643,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_12),hd(iPr_def_12))
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ ssList(app(X0,iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_57531,c_57522]) ).
tcf(c_57644,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_12),hd(iPr_def_12))
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57643,c_19014,c_25586]) ).
tcf(c_57690,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_12) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(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_57537,c_57522]) ).
tcf(c_57691,plain,
! [X0: $i,X1: $i] :
( ( hd(iPr_def_12) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ equalelemsP(app(X0,cons(X1,iPr_def_12)))
| ~ ssList(app(X0,cons(X1,iPr_def_12))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57690,c_19014,c_25586]) ).
tcf(c_57697,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ duplicatefreeP(app(app(X0,iPr_def_12),cons(hd(iPr_def_12),X1)))
| ~ ssList(app(app(X0,iPr_def_12),cons(hd(iPr_def_12),X1))) ),
inference(light_normalisation,[status(thm)],[c_57527,c_57522]) ).
tcf(c_57698,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,iPr_def_12),cons(hd(iPr_def_12),X1)))
| ~ ssList(app(app(X0,iPr_def_12),cons(hd(iPr_def_12),X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57697,c_19014,c_25586]) ).
tcf(c_57703,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_12),X1)),iPr_def_12))
| ~ ssList(app(app(X0,cons(hd(iPr_def_12),X1)),iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_57524,c_57522]) ).
tcf(c_57704,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(hd(iPr_def_12),X1)),iPr_def_12))
| ~ ssList(app(app(X0,cons(hd(iPr_def_12),X1)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57703,c_19014,c_25586]) ).
tcf(c_57709,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_12))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(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_57533,c_57522]) ).
tcf(c_57710,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_12))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ 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_57709,c_19014,c_25586]) ).
tcf(c_57717,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_12))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(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_57532,c_57522]) ).
tcf(c_57718,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_12))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ 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_57717,c_19014,c_25586]) ).
tcf(c_57725,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(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_57526,c_57522]) ).
tcf(c_57726,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ 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_57725,c_19014,c_25586]) ).
tcf(c_57733,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(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_57525,c_57522]) ).
tcf(c_57734,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ 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_57733,c_19014,c_25586]) ).
tcf(c_58054,plain,
( ( app(sK8(iPr_def_12,hd(iPr_def_12)),cons(hd(iPr_def_12),sK9(iPr_def_12,hd(iPr_def_12)))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57563,c_57]) ).
tcf(c_58055,plain,
( ( app(nil,sK8(iPr_def_12,hd(iPr_def_12))) = sK8(iPr_def_12,hd(iPr_def_12)) )
| ~ ssList(iPr_def_12)
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57563,c_12510]) ).
tcf(c_58056,plain,
( memberP(iPr_def_11,hd(iPr_def_12))
| memberP(sK58,hd(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57563,c_22492]) ).
tcf(c_58057,plain,
( memberP(iPr_def_10,hd(iPr_def_12))
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57563,c_22007]) ).
tcf(c_58058,plain,
memberP(iPr_def_10,hd(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_58057,c_25586]) ).
tcf(c_58059,plain,
( memberP(iPr_def_11,hd(iPr_def_12))
| memberP(sK58,hd(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58056,c_25586]) ).
tcf(c_58062,plain,
app(nil,sK8(iPr_def_12,hd(iPr_def_12))) = sK8(iPr_def_12,hd(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_58055,c_12842,c_25586]) ).
tcf(c_58063,plain,
app(sK8(iPr_def_12,hd(iPr_def_12)),cons(hd(iPr_def_12),sK9(iPr_def_12,hd(iPr_def_12)))) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_58054,c_12842,c_25586]) ).
tcf(c_58064,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK57,sK59),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK57,sK59)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_38598,c_122]) ).
tcf(c_58065,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK57,sK59),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK57,sK59)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_38598,c_114]) ).
tcf(c_58066,plain,
! [X0: $i] :
( ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK59),cons(sK57,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK57,sK59)),cons(sK57,X0))) ),
inference(superposition,[status(thm)],[c_38598,c_130]) ).
tcf(c_58070,plain,
( memberP(cons(sK57,sK59),sK57)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,sK59))) ),
inference(superposition,[status(thm)],[c_38598,c_54]) ).
tcf(c_58071,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),cons(sK57,sK59))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(app(nil,cons(sK57,sK59)),X0)) ),
inference(superposition,[status(thm)],[c_38598,c_67]) ).
tcf(c_58077,plain,
( frontsegP(cons(sK57,sK59),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38598,c_382]) ).
tcf(c_58078,plain,
( rearsegP(cons(sK57,sK59),cons(sK57,sK59))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38598,c_379]) ).
tcf(c_58080,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(X0,cons(sK57,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_38598,c_225]) ).
tcf(c_58084,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(nil,X0) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_38598,c_226]) ).
tcf(c_58085,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_38598,c_176]) ).
tcf(c_58087,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK59),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_38598,c_193]) ).
tcf(c_58090,plain,
frontsegP(cons(sK57,sK59),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_58077,c_141,c_38491]) ).
tcf(c_58091,plain,
rearsegP(cons(sK57,sK59),cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_58078,c_141,c_38491]) ).
tcf(c_58092,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58085,c_141,c_38491]) ).
tcf(c_58096,plain,
( memberP(cons(sK57,sK59),sK57)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK59)) ),
inference(light_normalisation,[status(thm)],[c_58070,c_38598]) ).
tcf(c_58097,plain,
memberP(cons(sK57,sK59),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_58096,c_8916,c_141,c_8914,c_38491]) ).
tcf(c_58098,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58084,c_141,c_38491]) ).
tcf(c_58102,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK57,sK59)) != cons(sK57,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58080,c_141,c_38491]) ).
tcf(c_58106,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK59),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58087,c_141,c_38491]) ).
tcf(c_58111,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),cons(sK57,sK59))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(light_normalisation,[status(thm)],[c_58071,c_38598]) ).
tcf(c_58112,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK59),X0),cons(sK57,sK59))
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58111,c_141,c_38491]) ).
tcf(c_58134,plain,
! [X0: $i] :
( ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK57,sK59),cons(sK57,X0)))
| ~ ssList(app(cons(sK57,sK59),cons(sK57,X0))) ),
inference(light_normalisation,[status(thm)],[c_58066,c_38598]) ).
tcf(c_58135,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK57,sK59),cons(sK57,X0)))
| ~ ssList(app(cons(sK57,sK59),cons(sK57,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58134,c_8916,c_141,c_8914]) ).
tcf(c_58139,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK57,sK59),cons(X0,X1)))
| ~ ssList(app(cons(sK57,sK59),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_58065,c_38598]) ).
tcf(c_58140,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK57,sK59),cons(X0,X1)))
| ~ ssList(app(cons(sK57,sK59),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58139,c_8916,c_141,c_8914]) ).
tcf(c_58146,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK57,sK59),cons(X0,X1)))
| ~ ssList(app(cons(sK57,sK59),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_58064,c_38598]) ).
tcf(c_58147,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK57,sK59),cons(X0,X1)))
| ~ ssList(app(cons(sK57,sK59),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58146,c_8916,c_141,c_8914]) ).
tcf(c_58203,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59))
| ~ frontsegP(nil,cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_58090,c_174]) ).
tcf(c_58204,plain,
( ( app(nil,sK11(cons(sK57,sK59),nil)) = cons(sK57,sK59) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_58090,c_63]) ).
tcf(c_58205,plain,
app(nil,sK11(cons(sK57,sK59),nil)) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_58204,c_141,c_38491]) ).
tcf(c_58206,plain,
~ frontsegP(nil,cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_58203,c_38501,c_141,c_38491]) ).
tcf(c_58207,plain,
( ( app(sK8(iPr_def_10,hd(iPr_def_12)),cons(hd(iPr_def_12),sK9(iPr_def_10,hd(iPr_def_12)))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58058,c_57]) ).
tcf(c_58208,plain,
( ( app(nil,sK8(iPr_def_10,hd(iPr_def_12))) = sK8(iPr_def_10,hd(iPr_def_12)) )
| ~ ssList(iPr_def_10)
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58058,c_12510]) ).
tcf(c_58210,plain,
app(nil,sK8(iPr_def_10,hd(iPr_def_12))) = sK8(iPr_def_10,hd(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_58208,c_18245,c_25586]) ).
tcf(c_58211,plain,
app(sK8(iPr_def_10,hd(iPr_def_12)),cons(hd(iPr_def_12),sK9(iPr_def_10,hd(iPr_def_12)))) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_58207,c_18245,c_25586]) ).
tcf(c_58212,plain,
( ( app(sK8(cons(sK57,sK59),sK57),cons(sK57,sK9(cons(sK57,sK59),sK57))) = cons(sK57,sK59) )
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_58097,c_57]) ).
tcf(c_58213,plain,
( ( app(nil,sK8(cons(sK57,sK59),sK57)) = sK8(cons(sK57,sK59),sK57) )
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_58097,c_12510]) ).
tcf(c_58216,plain,
app(nil,sK8(cons(sK57,sK59),sK57)) = sK8(cons(sK57,sK59),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_58213,c_8914,c_38491]) ).
tcf(c_58217,plain,
app(sK8(cons(sK57,sK59),sK57),cons(sK57,sK9(cons(sK57,sK59),sK57))) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_58212,c_8914,c_38491]) ).
tcf(c_58220,plain,
( ( app(sK12(cons(sK57,sK59),cons(sK57,sK59)),cons(sK57,sK59)) = cons(sK57,sK59) )
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_58091,c_66]) ).
tcf(c_58221,plain,
app(sK12(cons(sK57,sK59),cons(sK57,sK59)),cons(sK57,sK59)) = cons(sK57,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_58220,c_38491]) ).
tcf(c_58222,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,sK59),sK57),X0),sK8(cons(sK57,sK59),sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK59),sK57))
| ~ ssList(app(app(nil,sK8(cons(sK57,sK59),sK57)),X0)) ),
inference(superposition,[status(thm)],[c_58216,c_67]) ).
tcf(c_58228,plain,
( frontsegP(sK8(cons(sK57,sK59),sK57),nil)
| ~ ssList(nil)
| ~ ssList(sK8(cons(sK57,sK59),sK57)) ),
inference(superposition,[status(thm)],[c_58216,c_382]) ).
tcf(c_58229,plain,
( rearsegP(sK8(cons(sK57,sK59),sK57),sK8(cons(sK57,sK59),sK57))
| ~ ssList(nil)
| ~ ssList(sK8(cons(sK57,sK59),sK57)) ),
inference(superposition,[status(thm)],[c_58216,c_379]) ).
tcf(c_58231,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK59),sK57))
| ( app(X0,sK8(cons(sK57,sK59),sK57)) != sK8(cons(sK57,sK59),sK57) ) ),
inference(superposition,[status(thm)],[c_58216,c_225]) ).
tcf(c_58235,plain,
! [X0: $i] :
( ( sK8(cons(sK57,sK59),sK57) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK59),sK57))
| ( sK8(cons(sK57,sK59),sK57) != app(nil,X0) ) ),
inference(superposition,[status(thm)],[c_58216,c_226]) ).
tcf(c_58236,plain,
! [X0: $i] :
( frontsegP(sK8(cons(sK57,sK59),sK57),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(cons(sK57,sK59),sK57)) ),
inference(superposition,[status(thm)],[c_58216,c_176]) ).
tcf(c_58238,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(cons(sK57,sK59),sK57),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK59),sK57))
| ~ segmentP(sK8(cons(sK57,sK59),sK57),X0) ),
inference(superposition,[status(thm)],[c_58216,c_193]) ).
tcf(c_58241,plain,
( frontsegP(sK8(cons(sK57,sK59),sK57),nil)
| ~ ssList(sK8(cons(sK57,sK59),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58228,c_141]) ).
tcf(c_58244,plain,
( rearsegP(sK8(cons(sK57,sK59),sK57),sK8(cons(sK57,sK59),sK57))
| ~ ssList(sK8(cons(sK57,sK59),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58229,c_141]) ).
tcf(c_58247,plain,
! [X0: $i] :
( frontsegP(sK8(cons(sK57,sK59),sK57),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(cons(sK57,sK59),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58236,c_141]) ).
tcf(c_58252,plain,
! [X0: $i] :
( ( sK8(cons(sK57,sK59),sK57) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK59),sK57))
| ( sK8(cons(sK57,sK59),sK57) != app(nil,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58235,c_141]) ).
tcf(c_58257,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK59),sK57))
| ( app(X0,sK8(cons(sK57,sK59),sK57)) != sK8(cons(sK57,sK59),sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58231,c_141]) ).
tcf(c_58262,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(cons(sK57,sK59),sK57),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK59),sK57))
| ~ segmentP(sK8(cons(sK57,sK59),sK57),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58238,c_141]) ).
tcf(c_58268,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,sK59),sK57),X0),sK8(cons(sK57,sK59),sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK59),sK57))
| ~ ssList(app(sK8(cons(sK57,sK59),sK57),X0)) ),
inference(light_normalisation,[status(thm)],[c_58222,c_58216]) ).
tcf(c_58269,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,sK59),sK57),X0),sK8(cons(sK57,sK59),sK57))
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK59),sK57))
| ~ ssList(app(sK8(cons(sK57,sK59),sK57),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58268,c_141]) ).
tcf(c_58316,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK59,sK56),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_46379,c_173]) ).
tcf(c_58317,plain,
! [X0: $i] :
( ( app(sK59,sK56) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK56))
| ~ frontsegP(X0,app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_46379,c_174]) ).
tcf(c_58318,plain,
! [X0: $i] :
( ( app(X0,sK11(app(sK59,sK56),X0)) = app(sK59,sK56) )
| ~ ssList(X0)
| ~ frontsegP(sK59,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_46379,c_63]) ).
tcf(c_58341,plain,
( ( app(sK58,sK11(app(sK58,sK56),sK58)) = app(sK58,sK56) )
| ~ ssList(sK56)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_153,c_46942]) ).
tcf(c_58342,plain,
app(sK58,sK11(app(sK58,sK56),sK58)) = app(sK58,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_58341,c_8907,c_8915]) ).
tcf(c_58343,plain,
! [X0: $i] :
( segmentP(app(app(sK58,sK56),X0),sK11(app(sK58,sK56),sK58))
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ~ ssList(app(app(sK58,sK11(app(sK58,sK56),sK58)),X0)) ),
inference(superposition,[status(thm)],[c_58342,c_67]) ).
tcf(c_58346,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK11(app(sK58,sK56),sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(app(sK58,sK56),X0)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_58342,c_167]) ).
tcf(c_58347,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ( app(sK58,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_58342,c_231]) ).
tcf(c_58348,plain,
( ( sK11(app(sK58,sK56),sK58) = nil )
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ( app(sK58,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_58342,c_230]) ).
tcf(c_58349,plain,
( frontsegP(app(sK58,sK56),sK58)
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_58342,c_382]) ).
tcf(c_58350,plain,
( rearsegP(app(sK58,sK56),sK11(app(sK58,sK56),sK58))
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_58342,c_379]) ).
tcf(c_58351,plain,
( ssList(app(sK58,sK56))
| ~ ssList(sK58)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_58342,c_153]) ).
tcf(c_58352,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ( app(X0,sK11(app(sK58,sK56),sK58)) != app(sK58,sK56) ) ),
inference(superposition,[status(thm)],[c_58342,c_225]) ).
tcf(c_58353,plain,
! [X0: $i] :
( ( sK11(app(sK58,sK56),sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ( app(sK58,X0) != app(sK58,sK56) ) ),
inference(superposition,[status(thm)],[c_58342,c_226]) ).
tcf(c_58354,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK56),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_58342,c_176]) ).
tcf(c_58355,plain,
! [X0: $i] :
( memberP(app(sK58,sK56),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_58342,c_165]) ).
tcf(c_58356,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,sK56),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ~ segmentP(sK11(app(sK58,sK56),sK58),X0) ),
inference(superposition,[status(thm)],[c_58342,c_193]) ).
tcf(c_58357,plain,
! [X0: $i] :
( rearsegP(app(sK58,sK56),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ~ rearsegP(sK11(app(sK58,sK56),sK58),X0) ),
inference(superposition,[status(thm)],[c_58342,c_186]) ).
tcf(c_58358,plain,
! [X0: $i] :
( memberP(app(sK58,sK56),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ~ memberP(sK11(app(sK58,sK56),sK58),X0) ),
inference(superposition,[status(thm)],[c_58342,c_166]) ).
tcf(c_58359,plain,
( ( sK11(app(sK58,sK56),sK58) = iPr_def_11 )
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ( app(sK58,sK56) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_58342,c_25944]) ).
tcf(c_58360,plain,
( ( sK11(app(sK58,sK56),sK58) = nil )
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ( app(sK58,sK56) != sK58 ) ),
inference(superposition,[status(thm)],[c_58342,c_25912]) ).
tcf(c_58361,plain,
( segmentP(app(sK58,sK56),sK58)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ~ ssList(app(sK58,sK11(app(sK58,sK56),sK58))) ),
inference(superposition,[status(thm)],[c_58342,c_26286]) ).
tcf(c_58362,plain,
! [X0: $i] :
( segmentP(app(sK58,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_58342,c_26867]) ).
tcf(c_58363,plain,
! [X0: $i] :
( segmentP(app(sK58,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_58342,c_26852]) ).
tcf(c_58364,plain,
( ssList(app(sK58,sK56))
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58351,c_8915]) ).
tcf(c_58367,plain,
( frontsegP(app(sK58,sK56),sK58)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58349,c_8915]) ).
tcf(c_58378,plain,
( rearsegP(app(sK58,sK56),sK11(app(sK58,sK56),sK58))
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58350,c_8915]) ).
tcf(c_58381,plain,
( segmentP(app(sK58,sK56),sK58)
| ~ ssList(app(sK58,sK56))
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(light_normalisation,[status(thm)],[c_58361,c_58342]) ).
tcf(c_58385,plain,
( ( nil = sK58 )
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ( app(sK58,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58347,c_8915]) ).
tcf(c_58395,plain,
! [X0: $i] :
( memberP(app(sK58,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58355,c_8915]) ).
tcf(c_58400,plain,
! [X0: $i] :
( frontsegP(app(sK58,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58354,c_8915]) ).
tcf(c_58405,plain,
( ( sK11(app(sK58,sK56),sK58) = nil )
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ( app(sK58,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58348,c_8915]) ).
tcf(c_58409,plain,
! [X0: $i] :
( memberP(app(sK58,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ~ memberP(sK11(app(sK58,sK56),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58358,c_8915]) ).
tcf(c_58414,plain,
! [X0: $i] :
( rearsegP(app(sK58,sK56),X0)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ~ rearsegP(sK11(app(sK58,sK56),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58357,c_8915]) ).
tcf(c_58419,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK11(app(sK58,sK56),sK58),X0)
| ~ ssItem(X0)
| ~ memberP(app(sK58,sK56),X0)
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58346,c_8915]) ).
tcf(c_58425,plain,
! [X0: $i] :
( ( sK11(app(sK58,sK56),sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ( app(sK58,X0) != app(sK58,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58353,c_8915]) ).
tcf(c_58430,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ( app(X0,sK11(app(sK58,sK56),sK58)) != app(sK58,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58352,c_8915]) ).
tcf(c_58435,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,sK56),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ~ segmentP(sK11(app(sK58,sK56),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58356,c_8915]) ).
tcf(c_58441,plain,
! [X0: $i] :
( segmentP(app(app(sK58,sK56),X0),sK11(app(sK58,sK56),sK58))
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ~ ssList(app(app(sK58,sK56),X0)) ),
inference(light_normalisation,[status(thm)],[c_58343,c_58342]) ).
tcf(c_58442,plain,
! [X0: $i] :
( segmentP(app(app(sK58,sK56),X0),sK11(app(sK58,sK56),sK58))
| ~ ssList(X0)
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ~ ssList(app(app(sK58,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58441,c_8915]) ).
tcf(c_58497,plain,
! [X0: $i] :
( rearsegP(app(sK58,sK56),X0)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ~ rearsegP(sK11(app(sK58,sK56),sK58),X0) ),
inference(superposition,[status(thm)],[c_58378,c_183]) ).
tcf(c_58498,plain,
( ( sK11(app(sK58,sK56),sK58) = app(sK58,sK56) )
| ~ ssList(app(sK58,sK56))
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ~ rearsegP(sK11(app(sK58,sK56),sK58),app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_58378,c_184]) ).
tcf(c_58499,plain,
( ( app(sK12(app(sK58,sK56),sK11(app(sK58,sK56),sK58)),sK11(app(sK58,sK56),sK58)) = app(sK58,sK56) )
| ~ ssList(app(sK58,sK56))
| ~ ssList(sK11(app(sK58,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_58378,c_66]) ).
tcf(c_58572,plain,
! [X0: $i] :
( frontsegP(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_57565,c_173]) ).
tcf(c_58573,plain,
( ( tl(iPr_def_12) = nil )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),nil) ),
inference(superposition,[status(thm)],[c_57565,c_174]) ).
tcf(c_58574,plain,
( ( app(tl(iPr_def_12),sK11(nil,tl(iPr_def_12))) = nil )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57565,c_63]) ).
tcf(c_58575,plain,
( frontsegP(iPr_def_10,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57565,c_20777]) ).
tcf(c_58576,plain,
( frontsegP(iPr_def_11,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57565,c_18786]) ).
tcf(c_58577,plain,
( frontsegP(iPr_def_12,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57565,c_18770]) ).
tcf(c_58578,plain,
( frontsegP(sK59,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57565,c_18782]) ).
tcf(c_58579,plain,
( frontsegP(sK58,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57565,c_18778]) ).
tcf(c_58580,plain,
( frontsegP(sK56,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57565,c_18774]) ).
tcf(c_58582,plain,
( ( tl(iPr_def_12) = nil )
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(superposition,[status(thm)],[c_57565,c_33730]) ).
tcf(c_58585,plain,
( frontsegP(sK56,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58580,c_19014]) ).
tcf(c_58588,plain,
( frontsegP(sK58,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58579,c_19014]) ).
tcf(c_58591,plain,
( frontsegP(sK59,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58578,c_19014]) ).
tcf(c_58594,plain,
( frontsegP(iPr_def_12,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58577,c_19014]) ).
tcf(c_58597,plain,
( frontsegP(iPr_def_11,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58576,c_19014]) ).
tcf(c_58600,plain,
( frontsegP(iPr_def_10,tl(iPr_def_12))
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58575,c_19014]) ).
tcf(c_58603,plain,
( ( app(tl(iPr_def_12),sK11(nil,tl(iPr_def_12))) = nil )
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58574,c_141,c_19014]) ).
tcf(c_58607,plain,
! [X0: $i] :
( frontsegP(nil,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58572,c_141,c_19014]) ).
tcf(c_58641,plain,
( memberP(iPr_def_11,hd(iPr_def_12))
| ( app(sK8(sK58,hd(iPr_def_12)),cons(hd(iPr_def_12),sK9(sK58,hd(iPr_def_12)))) = sK58 )
| ~ ssList(sK58)
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58059,c_57]) ).
tcf(c_58642,plain,
( memberP(iPr_def_11,hd(iPr_def_12))
| ( app(nil,sK8(sK58,hd(iPr_def_12))) = sK8(sK58,hd(iPr_def_12)) )
| ~ ssList(sK58)
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58059,c_12510]) ).
tcf(c_58645,plain,
( memberP(iPr_def_11,hd(iPr_def_12))
| ( app(nil,sK8(sK58,hd(iPr_def_12))) = sK8(sK58,hd(iPr_def_12)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58642,c_8915,c_25586]) ).
tcf(c_58648,plain,
( memberP(iPr_def_11,hd(iPr_def_12))
| ( app(sK8(sK58,hd(iPr_def_12)),cons(hd(iPr_def_12),sK9(sK58,hd(iPr_def_12)))) = sK58 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58641,c_8915,c_25586]) ).
tcf(c_58655,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_58585,c_173]) ).
tcf(c_58656,plain,
( ( tl(iPr_def_12) = sK56 )
| ~ ssList(sK56)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),sK56) ),
inference(superposition,[status(thm)],[c_58585,c_174]) ).
tcf(c_58657,plain,
( ( app(tl(iPr_def_12),sK11(sK56,tl(iPr_def_12))) = sK56 )
| ~ ssList(sK56)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58585,c_63]) ).
tcf(c_58658,plain,
( ( app(tl(iPr_def_12),sK11(sK56,tl(iPr_def_12))) = sK56 )
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58657,c_8907,c_19014]) ).
tcf(c_58661,plain,
( ( tl(iPr_def_12) = sK56 )
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58656,c_8907,c_19014]) ).
tcf(c_58665,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58655,c_8907,c_19014]) ).
tcf(c_58674,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_58588,c_173]) ).
tcf(c_58675,plain,
( ( tl(iPr_def_12) = sK58 )
| ~ ssList(sK58)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),sK58) ),
inference(superposition,[status(thm)],[c_58588,c_174]) ).
tcf(c_58676,plain,
( ( app(tl(iPr_def_12),sK11(sK58,tl(iPr_def_12))) = sK58 )
| ~ ssList(sK58)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58588,c_63]) ).
tcf(c_58679,plain,
( ( app(tl(iPr_def_12),sK11(sK58,tl(iPr_def_12))) = sK58 )
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58676,c_8915,c_19014]) ).
tcf(c_58682,plain,
( ( tl(iPr_def_12) = sK58 )
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58675,c_8915,c_19014]) ).
tcf(c_58686,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58674,c_8915,c_19014]) ).
tcf(c_58739,plain,
( ( app(nil,sK8(sK58,hd(iPr_def_12))) = sK8(sK58,hd(iPr_def_12)) )
| ( app(sK8(iPr_def_11,hd(iPr_def_12)),cons(hd(iPr_def_12),sK9(iPr_def_11,hd(iPr_def_12)))) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58645,c_57]) ).
tcf(c_58740,plain,
( ( app(nil,sK8(iPr_def_11,hd(iPr_def_12))) = sK8(iPr_def_11,hd(iPr_def_12)) )
| ( app(nil,sK8(sK58,hd(iPr_def_12))) = sK8(sK58,hd(iPr_def_12)) )
| ~ ssList(iPr_def_11)
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58645,c_12510]) ).
tcf(c_58741,plain,
( ( hd(iPr_def_12) = sK57 )
| ( app(nil,sK8(sK58,hd(iPr_def_12))) = sK8(sK58,hd(iPr_def_12)) )
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58645,c_25676]) ).
tcf(c_58743,plain,
( ( hd(iPr_def_12) = sK57 )
| ( app(nil,sK8(sK58,hd(iPr_def_12))) = sK8(sK58,hd(iPr_def_12)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58741,c_25586]) ).
tcf(c_58746,plain,
( ( app(nil,sK8(iPr_def_11,hd(iPr_def_12))) = sK8(iPr_def_11,hd(iPr_def_12)) )
| ( app(nil,sK8(sK58,hd(iPr_def_12))) = sK8(sK58,hd(iPr_def_12)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58740,c_12706,c_25586]) ).
tcf(c_58749,plain,
( ( app(nil,sK8(sK58,hd(iPr_def_12))) = sK8(sK58,hd(iPr_def_12)) )
| ( app(sK8(iPr_def_11,hd(iPr_def_12)),cons(hd(iPr_def_12),sK9(iPr_def_11,hd(iPr_def_12)))) = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58739,c_12706,c_25586]) ).
tcf(c_58758,plain,
cons(hd(iPr_def_10),tl(iPr_def_10)) = iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_16304,c_13772,c_16303,c_17651,c_17747,c_18252]) ).
tcf(c_58819,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_58591,c_173]) ).
tcf(c_58820,plain,
( ( tl(iPr_def_12) = sK59 )
| ~ ssList(sK59)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),sK59) ),
inference(superposition,[status(thm)],[c_58591,c_174]) ).
tcf(c_58821,plain,
( ( app(tl(iPr_def_12),sK11(sK59,tl(iPr_def_12))) = sK59 )
| ~ ssList(sK59)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58591,c_63]) ).
tcf(c_58822,plain,
( ( app(tl(iPr_def_12),sK11(sK59,tl(iPr_def_12))) = sK59 )
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58821,c_8916,c_19014]) ).
tcf(c_58825,plain,
( ( tl(iPr_def_12) = sK59 )
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58820,c_8916,c_19014]) ).
tcf(c_58829,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58819,c_8916,c_19014]) ).
tcf(c_58863,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_58594,c_173]) ).
tcf(c_58864,plain,
( ( tl(iPr_def_12) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),iPr_def_12) ),
inference(superposition,[status(thm)],[c_58594,c_174]) ).
tcf(c_58865,plain,
( ( app(tl(iPr_def_12),sK11(iPr_def_12,tl(iPr_def_12))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58594,c_63]) ).
tcf(c_58867,plain,
( ( app(tl(iPr_def_12),sK11(iPr_def_12,tl(iPr_def_12))) = iPr_def_12 )
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58865,c_12842,c_19014]) ).
tcf(c_58870,plain,
( ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58864,c_57564,c_12842,c_19014]) ).
tcf(c_58873,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58863,c_12842,c_19014]) ).
tcf(c_58882,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_58597,c_173]) ).
tcf(c_58883,plain,
( ( tl(iPr_def_12) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),iPr_def_11) ),
inference(superposition,[status(thm)],[c_58597,c_174]) ).
tcf(c_58884,plain,
( ( app(tl(iPr_def_12),sK11(iPr_def_11,tl(iPr_def_12))) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58597,c_63]) ).
tcf(c_58885,plain,
( ( app(tl(iPr_def_12),sK11(iPr_def_11,tl(iPr_def_12))) = iPr_def_11 )
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58884,c_12706,c_19014]) ).
tcf(c_58888,plain,
( ( tl(iPr_def_12) = iPr_def_11 )
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58883,c_12706,c_19014]) ).
tcf(c_58892,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58882,c_12706,c_19014]) ).
tcf(c_58901,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_58600,c_173]) ).
tcf(c_58902,plain,
( ( tl(iPr_def_12) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12))
| ~ frontsegP(tl(iPr_def_12),iPr_def_10) ),
inference(superposition,[status(thm)],[c_58600,c_174]) ).
tcf(c_58903,plain,
( ( app(tl(iPr_def_12),sK11(iPr_def_10,tl(iPr_def_12))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58600,c_63]) ).
tcf(c_58904,plain,
( ( app(tl(iPr_def_12),sK11(iPr_def_10,tl(iPr_def_12))) = iPr_def_10 )
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58903,c_18245,c_19014]) ).
tcf(c_58907,plain,
( ( tl(iPr_def_12) = iPr_def_10 )
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58902,c_18245,c_19014]) ).
tcf(c_58911,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58901,c_18245,c_19014]) ).
tcf(c_58946,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK58,sK56),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_46949,c_173]) ).
tcf(c_58947,plain,
! [X0: $i] :
( ( app(sK58,sK56) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK56))
| ~ frontsegP(X0,app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_46949,c_174]) ).
tcf(c_58948,plain,
! [X0: $i] :
( ( app(X0,sK11(app(sK58,sK56),X0)) = app(sK58,sK56) )
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_46949,c_63]) ).
tcf(c_58971,plain,
( ( app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56) )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_153,c_47426]) ).
tcf(c_58972,plain,
app(sK56,sK11(app(sK56,sK56),sK56)) = app(sK56,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_58971,c_8907]) ).
tcf(c_58973,plain,
! [X0: $i] :
( segmentP(app(app(sK56,sK56),X0),sK11(app(sK56,sK56),sK56))
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ~ ssList(app(app(sK56,sK11(app(sK56,sK56),sK56)),X0)) ),
inference(superposition,[status(thm)],[c_58972,c_67]) ).
tcf(c_58976,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK11(app(sK56,sK56),sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(app(sK56,sK56),X0)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_58972,c_167]) ).
tcf(c_58977,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_58972,c_231]) ).
tcf(c_58978,plain,
( ( sK11(app(sK56,sK56),sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_58972,c_230]) ).
tcf(c_58979,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_58972,c_382]) ).
tcf(c_58980,plain,
( rearsegP(app(sK56,sK56),sK11(app(sK56,sK56),sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_58972,c_379]) ).
tcf(c_58981,plain,
( ssList(app(sK56,sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_58972,c_153]) ).
tcf(c_58982,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(X0,sK11(app(sK56,sK56),sK56)) != app(sK56,sK56) ) ),
inference(superposition,[status(thm)],[c_58972,c_225]) ).
tcf(c_58983,plain,
! [X0: $i] :
( ( sK11(app(sK56,sK56),sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,X0) != app(sK56,sK56) ) ),
inference(superposition,[status(thm)],[c_58972,c_226]) ).
tcf(c_58984,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_58972,c_176]) ).
tcf(c_58985,plain,
! [X0: $i] :
( memberP(app(sK56,sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_58972,c_165]) ).
tcf(c_58986,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,sK56),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ~ segmentP(sK11(app(sK56,sK56),sK56),X0) ),
inference(superposition,[status(thm)],[c_58972,c_193]) ).
tcf(c_58987,plain,
! [X0: $i] :
( rearsegP(app(sK56,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ~ rearsegP(sK11(app(sK56,sK56),sK56),X0) ),
inference(superposition,[status(thm)],[c_58972,c_186]) ).
tcf(c_58988,plain,
! [X0: $i] :
( memberP(app(sK56,sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ~ memberP(sK11(app(sK56,sK56),sK56),X0) ),
inference(superposition,[status(thm)],[c_58972,c_166]) ).
tcf(c_58989,plain,
( ( sK11(app(sK56,sK56),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_58972,c_25908]) ).
tcf(c_58990,plain,
( segmentP(app(sK56,sK56),sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ~ ssList(app(sK56,sK11(app(sK56,sK56),sK56))) ),
inference(superposition,[status(thm)],[c_58972,c_26281]) ).
tcf(c_58991,plain,
! [X0: $i] :
( segmentP(app(sK56,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_58972,c_26862]) ).
tcf(c_58992,plain,
! [X0: $i] :
( segmentP(app(sK56,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_58972,c_26847]) ).
tcf(c_58993,plain,
( ssList(app(sK56,sK56))
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58981,c_8907]) ).
tcf(c_58996,plain,
( frontsegP(app(sK56,sK56),sK56)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58979,c_8907]) ).
tcf(c_59007,plain,
( rearsegP(app(sK56,sK56),sK11(app(sK56,sK56),sK56))
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58980,c_8907]) ).
tcf(c_59010,plain,
( segmentP(app(sK56,sK56),sK56)
| ~ ssList(app(sK56,sK56))
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(light_normalisation,[status(thm)],[c_58990,c_58972]) ).
tcf(c_59014,plain,
( ( nil = sK56 )
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58977,c_8907]) ).
tcf(c_59021,plain,
! [X0: $i] :
( memberP(app(sK56,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58985,c_8907]) ).
tcf(c_59026,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58984,c_8907]) ).
tcf(c_59031,plain,
( ( sK11(app(sK56,sK56),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,sK56) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58978,c_8907]) ).
tcf(c_59035,plain,
! [X0: $i] :
( memberP(app(sK56,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ~ memberP(sK11(app(sK56,sK56),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58988,c_8907]) ).
tcf(c_59040,plain,
! [X0: $i] :
( rearsegP(app(sK56,sK56),X0)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ~ rearsegP(sK11(app(sK56,sK56),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58987,c_8907]) ).
tcf(c_59045,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK11(app(sK56,sK56),sK56),X0)
| ~ ssItem(X0)
| ~ memberP(app(sK56,sK56),X0)
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58976,c_8907]) ).
tcf(c_59051,plain,
! [X0: $i] :
( ( sK11(app(sK56,sK56),sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(sK56,X0) != app(sK56,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58983,c_8907]) ).
tcf(c_59056,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ( app(X0,sK11(app(sK56,sK56),sK56)) != app(sK56,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58982,c_8907]) ).
tcf(c_59061,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,sK56),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ~ segmentP(sK11(app(sK56,sK56),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58986,c_8907]) ).
tcf(c_59067,plain,
! [X0: $i] :
( segmentP(app(app(sK56,sK56),X0),sK11(app(sK56,sK56),sK56))
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ~ ssList(app(app(sK56,sK56),X0)) ),
inference(light_normalisation,[status(thm)],[c_58973,c_58972]) ).
tcf(c_59068,plain,
! [X0: $i] :
( segmentP(app(app(sK56,sK56),X0),sK11(app(sK56,sK56),sK56))
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ~ ssList(app(app(sK56,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59067,c_8907]) ).
tcf(c_59125,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ ssList(app(app(X0,cons(hd(tl(sK59)),X1)),tl(sK59)))
| ~ duplicatefreeP(app(app(X0,cons(hd(tl(sK59)),X1)),cons(hd(tl(sK59)),tl(tl(sK59))))) ),
inference(superposition,[status(thm)],[c_16305,c_130]) ).
tcf(c_59126,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(tl(sK59)),X1)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ ssList(app(app(X0,tl(sK59)),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(tl(sK59)),tl(tl(sK59)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16305,c_122]) ).
tcf(c_59127,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(tl(sK59)),X1)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ ssList(app(app(X0,tl(sK59)),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(tl(sK59)),tl(tl(sK59)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16305,c_114]) ).
tcf(c_59128,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ ssList(app(app(X0,tl(sK59)),cons(hd(tl(sK59)),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(tl(sK59)),tl(tl(sK59)))),cons(hd(tl(sK59)),X1))) ),
inference(superposition,[status(thm)],[c_16305,c_130]) ).
tcf(c_59132,plain,
! [X0: $i] :
( memberP(app(X0,tl(sK59)),hd(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X0)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ ssList(app(X0,cons(hd(tl(sK59)),tl(tl(sK59))))) ),
inference(superposition,[status(thm)],[c_16305,c_54]) ).
tcf(c_59133,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(sK59)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(tl(sK59)),tl(tl(sK59))))) ),
inference(superposition,[status(thm)],[c_16305,c_122]) ).
tcf(c_59134,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(sK59)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(tl(sK59)),tl(tl(sK59))))) ),
inference(superposition,[status(thm)],[c_16305,c_114]) ).
tcf(c_59138,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(tl(sK59)) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ ssList(app(X0,cons(X1,tl(sK59))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(tl(sK59)),tl(tl(sK59)))))) ),
inference(superposition,[status(thm)],[c_16305,c_137]) ).
tcf(c_59141,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(tl(sK59)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ frontsegP(cons(X0,X1),tl(sK59)) ),
inference(superposition,[status(thm)],[c_16305,c_178]) ).
tcf(c_59142,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ frontsegP(cons(X0,X1),tl(sK59)) ),
inference(superposition,[status(thm)],[c_16305,c_179]) ).
tcf(c_59143,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( tl(tl(sK59)) = nil )
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ( tl(sK59) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16305,c_27842]) ).
tcf(c_59144,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(tl(sK59)) = sK57 )
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ( tl(sK59) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16305,c_27744]) ).
tcf(c_59145,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(tl(sK59)) = sK57 )
| ~ frontsegP(iPr_def_11,tl(sK59))
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59))) ),
inference(superposition,[status(thm)],[c_16305,c_27481]) ).
tcf(c_59146,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(tl(sK59)) = sK57 )
| ~ frontsegP(tl(sK59),iPr_def_11)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59))) ),
inference(superposition,[status(thm)],[c_16305,c_27471]) ).
tcf(c_59147,plain,
( frontsegP(nil,tl(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ frontsegP(iPr_def_11,tl(sK59))
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59))) ),
inference(superposition,[status(thm)],[c_16305,c_26657]) ).
tcf(c_59148,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( tl(tl(sK59)) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ( cons(X0,X1) != tl(sK59) ) ),
inference(superposition,[status(thm)],[c_16305,c_144]) ).
tcf(c_59149,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(tl(sK59)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ( cons(X0,X1) != tl(sK59) ) ),
inference(superposition,[status(thm)],[c_16305,c_143]) ).
tcf(c_59150,plain,
! [X0: $i,X1: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(tl(sK59)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ frontsegP(tl(sK59),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_16305,c_178]) ).
tcf(c_59151,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(tl(sK59)),X1)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ frontsegP(tl(sK59),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_16305,c_179]) ).
tcf(c_59152,plain,
! [X0: $i] :
( memberP(tl(tl(sK59)),X0)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ( hd(tl(sK59)) = X0 )
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ memberP(tl(sK59),X0) ),
inference(superposition,[status(thm)],[c_16305,c_170]) ).
tcf(c_59153,plain,
( lt(hd(tl(sK59)),hd(tl(tl(sK59))))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ( tl(tl(sK59)) = nil )
| ~ strictorderedP(tl(sK59))
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59))) ),
inference(superposition,[status(thm)],[c_16305,c_214]) ).
tcf(c_59154,plain,
( leq(hd(tl(sK59)),hd(tl(tl(sK59))))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ( tl(tl(sK59)) = nil )
| ~ totalorderedP(tl(sK59))
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59))) ),
inference(superposition,[status(thm)],[c_16305,c_208]) ).
tcf(c_59155,plain,
( strictorderedP(tl(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ( tl(tl(sK59)) = nil )
| ~ strictorderedP(tl(sK59))
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59))) ),
inference(superposition,[status(thm)],[c_16305,c_213]) ).
tcf(c_59156,plain,
( totalorderedP(tl(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ( tl(tl(sK59)) = nil )
| ~ totalorderedP(tl(sK59))
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59))) ),
inference(superposition,[status(thm)],[c_16305,c_207]) ).
tcf(c_59158,plain,
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ( tl(tl(sK59)) != tl(sK59) ) ),
inference(superposition,[status(thm)],[c_16305,c_142]) ).
tcf(c_59159,plain,
( memberP(tl(sK59),hd(tl(sK59)))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59))) ),
inference(superposition,[status(thm)],[c_16305,c_168]) ).
tcf(c_59161,plain,
! [X0: $i] :
( frontsegP(tl(sK59),cons(hd(tl(sK59)),X0))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X0)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ frontsegP(tl(tl(sK59)),X0) ),
inference(superposition,[status(thm)],[c_16305,c_177]) ).
tcf(c_59162,plain,
! [X0: $i] :
( memberP(tl(sK59),X0)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ memberP(tl(tl(sK59)),X0) ),
inference(superposition,[status(thm)],[c_16305,c_169]) ).
tcf(c_59163,plain,
! [X0: $i] :
( frontsegP(cons(hd(tl(sK59)),X0),tl(sK59))
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X0)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ frontsegP(X0,tl(tl(sK59))) ),
inference(superposition,[status(thm)],[c_16305,c_177]) ).
tcf(c_59626,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(app(app(cons(sK57,iPr_def_12),sK59),X0)) ),
inference(superposition,[status(thm)],[c_37882,c_67]) ).
tcf(c_59629,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(cons(sK57,iPr_def_12),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ memberP(cons(sK57,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_37882,c_167]) ).
tcf(c_59630,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,iPr_def_12))
| ( cons(sK57,iPr_def_10) != nil ) ),
inference(superposition,[status(thm)],[c_37882,c_231]) ).
tcf(c_59631,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,iPr_def_12))
| ( cons(sK57,iPr_def_10) != nil ) ),
inference(superposition,[status(thm)],[c_37882,c_230]) ).
tcf(c_59632,plain,
( frontsegP(cons(sK57,iPr_def_10),cons(sK57,iPr_def_12))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_37882,c_382]) ).
tcf(c_59633,plain,
( rearsegP(cons(sK57,iPr_def_10),sK59)
| ~ ssList(sK59)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_37882,c_379]) ).
tcf(c_59634,plain,
( ssList(cons(sK57,iPr_def_10))
| ~ ssList(sK59)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_37882,c_153]) ).
tcf(c_59635,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_12) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ( app(X0,sK59) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_37882,c_225]) ).
tcf(c_59636,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ( app(cons(sK57,iPr_def_12),X0) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_37882,c_226]) ).
tcf(c_59637,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ frontsegP(cons(sK57,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_37882,c_176]) ).
tcf(c_59638,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_10),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ memberP(cons(sK57,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_37882,c_165]) ).
tcf(c_59639,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_37882,c_193]) ).
tcf(c_59640,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_37882,c_186]) ).
tcf(c_59641,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_10),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_37882,c_166]) ).
tcf(c_59642,plain,
( ( cons(sK57,iPr_def_12) = iPr_def_11 )
| ~ ssList(cons(sK57,iPr_def_12))
| ( cons(sK57,sK59) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_37882,c_38527]) ).
tcf(c_59643,plain,
( ( cons(sK57,iPr_def_12) = iPr_def_12 )
| ~ ssList(cons(sK57,iPr_def_12))
| ( cons(sK57,iPr_def_10) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_37882,c_25223]) ).
tcf(c_59644,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ~ ssList(cons(sK57,iPr_def_12))
| ( cons(sK57,iPr_def_10) != sK59 ) ),
inference(superposition,[status(thm)],[c_37882,c_25211]) ).
tcf(c_59645,plain,
( ssList(cons(sK57,iPr_def_10))
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59634,c_8916]) ).
tcf(c_59648,plain,
( rearsegP(cons(sK57,iPr_def_10),sK59)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59633,c_8916]) ).
tcf(c_59651,plain,
( frontsegP(cons(sK57,iPr_def_10),cons(sK57,iPr_def_12))
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59632,c_8916]) ).
tcf(c_59660,plain,
( ( nil = sK59 )
| ~ ssList(cons(sK57,iPr_def_12))
| ( cons(sK57,iPr_def_10) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59631,c_8916]) ).
tcf(c_59667,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_10),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59641,c_8916]) ).
tcf(c_59672,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59640,c_8916]) ).
tcf(c_59677,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ~ ssList(cons(sK57,iPr_def_12))
| ( cons(sK57,iPr_def_10) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59630,c_8916]) ).
tcf(c_59681,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_10),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ memberP(cons(sK57,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59638,c_8916]) ).
tcf(c_59686,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ frontsegP(cons(sK57,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59637,c_8916]) ).
tcf(c_59691,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59639,c_8916]) ).
tcf(c_59697,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(cons(sK57,iPr_def_12),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ memberP(cons(sK57,iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59629,c_8916]) ).
tcf(c_59703,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ( app(cons(sK57,iPr_def_12),X0) != cons(sK57,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59636,c_8916]) ).
tcf(c_59708,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ( app(X0,sK59) != cons(sK57,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59635,c_8916]) ).
tcf(c_59713,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(app(cons(sK57,iPr_def_10),X0)) ),
inference(light_normalisation,[status(thm)],[c_59626,c_37882]) ).
tcf(c_59714,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X0),sK59)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(app(cons(sK57,iPr_def_10),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59713,c_8916]) ).
tcf(c_59800,plain,
( ssList(cons(sK57,iPr_def_10))
| ~ ssList(iPr_def_12)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_140,c_59645]) ).
tcf(c_59801,plain,
ssList(cons(sK57,iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_59800,c_12842,c_8914]) ).
tcf(c_59802,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,iPr_def_10)) = app(X0,app(X1,cons(sK57,iPr_def_10))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_59801,c_228]) ).
tcf(c_59803,plain,
hd(app(iPr_def_11,cons(sK57,iPr_def_10))) = sK57,
inference(superposition,[status(thm)],[c_59801,c_19198]) ).
tcf(c_59804,plain,
hd(cons(sK60,cons(sK57,iPr_def_10))) = sK60,
inference(superposition,[status(thm)],[c_59801,c_18952]) ).
tcf(c_59805,plain,
tl(cons(sK60,cons(sK57,iPr_def_10))) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_59801,c_18951]) ).
tcf(c_59806,plain,
cons(sK57,app(cons(sK57,iPr_def_10),sK56)) = app(cons(sK57,cons(sK57,iPr_def_10)),sK56),
inference(superposition,[status(thm)],[c_59801,c_37365]) ).
tcf(c_59807,plain,
tl(cons(sK7,cons(sK57,iPr_def_10))) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_59801,c_13978]) ).
tcf(c_59808,plain,
tl(cons(sK6,cons(sK57,iPr_def_10))) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_59801,c_13977]) ).
tcf(c_59809,plain,
cons(sK57,app(cons(sK57,iPr_def_10),sK58)) = app(cons(sK57,cons(sK57,iPr_def_10)),sK58),
inference(superposition,[status(thm)],[c_59801,c_37364]) ).
tcf(c_59810,plain,
hd(cons(sK7,cons(sK57,iPr_def_10))) = sK7,
inference(superposition,[status(thm)],[c_59801,c_13802]) ).
tcf(c_59811,plain,
hd(cons(sK6,cons(sK57,iPr_def_10))) = sK6,
inference(superposition,[status(thm)],[c_59801,c_13801]) ).
tcf(c_59812,plain,
cons(sK57,app(cons(sK57,iPr_def_10),sK59)) = app(cons(sK57,cons(sK57,iPr_def_10)),sK59),
inference(superposition,[status(thm)],[c_59801,c_37363]) ).
tcf(c_59813,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,iPr_def_10))) = app(cons(sK57,X0),cons(sK57,iPr_def_10)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_59801,c_22147]) ).
tcf(c_59814,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,iPr_def_10)) = tl(app(sK56,cons(sK57,iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_59801,c_21660]) ).
tcf(c_59815,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,iPr_def_10)) = tl(app(sK58,cons(sK57,iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_59801,c_21659]) ).
tcf(c_59816,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,iPr_def_10)) = tl(app(sK59,cons(sK57,iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_59801,c_21658]) ).
tcf(c_59817,plain,
( duplicatefreeP(cons(sK57,iPr_def_10))
| ( app(app(sK42(cons(sK57,iPr_def_10)),cons(sK40(cons(sK57,iPr_def_10)),sK43(cons(sK57,iPr_def_10)))),cons(sK41(cons(sK57,iPr_def_10)),sK44(cons(sK57,iPr_def_10)))) = cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_59801,c_124]) ).
tcf(c_59818,plain,
( strictorderedP(cons(sK57,iPr_def_10))
| ( app(app(sK37(cons(sK57,iPr_def_10)),cons(sK35(cons(sK57,iPr_def_10)),sK38(cons(sK57,iPr_def_10)))),cons(sK36(cons(sK57,iPr_def_10)),sK39(cons(sK57,iPr_def_10)))) = cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_59801,c_116]) ).
tcf(c_59819,plain,
( totalorderedP(cons(sK57,iPr_def_10))
| ( app(app(sK32(cons(sK57,iPr_def_10)),cons(sK30(cons(sK57,iPr_def_10)),sK33(cons(sK57,iPr_def_10)))),cons(sK31(cons(sK57,iPr_def_10)),sK34(cons(sK57,iPr_def_10)))) = cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_59801,c_108]) ).
tcf(c_59820,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,iPr_def_10))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_59801,c_19187]) ).
tcf(c_59821,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_10) = nil )
| ( app(tl(cons(sK57,iPr_def_10)),X0) = tl(app(cons(sK57,iPr_def_10),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_59801,c_234]) ).
tcf(c_59822,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,iPr_def_10))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_59801,c_19186]) ).
tcf(c_59823,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,iPr_def_10))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_59801,c_19185]) ).
tcf(c_59824,plain,
( equalelemsP(cons(sK57,iPr_def_10))
| ( app(sK47(cons(sK57,iPr_def_10)),cons(sK45(cons(sK57,iPr_def_10)),cons(sK46(cons(sK57,iPr_def_10)),sK48(cons(sK57,iPr_def_10))))) = cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_59801,c_132]) ).
tcf(c_59825,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_10) = nil )
| ( hd(app(cons(sK57,iPr_def_10),X0)) = hd(cons(sK57,iPr_def_10)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_59801,c_233]) ).
tcf(c_59826,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ( cons(hd(cons(sK57,iPr_def_10)),tl(cons(sK57,iPr_def_10))) = cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_59801,c_224]) ).
tcf(c_59827,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ( cons(sK50(cons(sK57,iPr_def_10)),sK49(cons(sK57,iPr_def_10))) = cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_59801,c_147]) ).
tcf(c_59828,plain,
tl(cons(sK57,cons(sK57,iPr_def_10))) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_59801,c_13997]) ).
tcf(c_59829,plain,
hd(cons(sK57,cons(sK57,iPr_def_10))) = sK57,
inference(superposition,[status(thm)],[c_59801,c_13821]) ).
tcf(c_59830,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ( tl(cons(sK57,iPr_def_10)) = sK52(cons(sK57,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_59801,c_222]) ).
tcf(c_59831,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ( hd(cons(sK57,iPr_def_10)) = sK51(cons(sK57,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_59801,c_220]) ).
tcf(c_59832,plain,
( duplicatefreeP(cons(sK57,iPr_def_10))
| ( sK40(cons(sK57,iPr_def_10)) = sK41(cons(sK57,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_59801,c_123]) ).
tcf(c_59833,plain,
app(cons(sK57,iPr_def_10),nil) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_59801,c_232]) ).
tcf(c_59834,plain,
app(nil,cons(sK57,iPr_def_10)) = cons(sK57,iPr_def_10),
inference(superposition,[status(thm)],[c_59801,c_155]) ).
tcf(c_59843,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ( sK51(cons(sK57,iPr_def_10)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_59831,c_18479]) ).
tcf(c_59846,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ( sK52(cons(sK57,iPr_def_10)) = iPr_def_10 ) ),
inference(light_normalisation,[status(thm)],[c_59830,c_18478]) ).
tcf(c_59849,plain,
cons(sK57,cons(sK57,app(iPr_def_10,sK59))) = app(cons(sK57,cons(sK57,iPr_def_10)),sK59),
inference(light_normalisation,[status(thm)],[c_59812,c_37876]) ).
tcf(c_59850,plain,
cons(sK57,cons(sK57,app(iPr_def_10,sK58))) = app(cons(sK57,cons(sK57,iPr_def_10)),sK58),
inference(light_normalisation,[status(thm)],[c_59809,c_41518]) ).
tcf(c_59851,plain,
cons(sK57,cons(sK57,app(iPr_def_10,sK56))) = app(cons(sK57,cons(sK57,iPr_def_10)),sK56),
inference(light_normalisation,[status(thm)],[c_59806,c_45011]) ).
tcf(c_59863,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_10) = nil )
| ( hd(app(cons(sK57,iPr_def_10),X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_59825,c_18479]) ).
tcf(c_59870,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_10) = nil )
| ( tl(app(cons(sK57,iPr_def_10),X0)) = app(iPr_def_10,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_59821,c_18478]) ).
tcf(c_60033,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_59648,c_183]) ).
tcf(c_60034,plain,
( ( cons(sK57,iPr_def_10) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(cons(sK57,iPr_def_10))
| ~ rearsegP(sK59,cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_59648,c_184]) ).
tcf(c_60035,plain,
( ( app(sK12(cons(sK57,iPr_def_10),sK59),sK59) = cons(sK57,iPr_def_10) )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_59648,c_66]) ).
tcf(c_60036,plain,
( ( app(sK12(cons(sK57,iPr_def_10),sK59),sK59) = cons(sK57,iPr_def_10) )
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60035,c_8916,c_59801]) ).
tcf(c_60039,plain,
( ( cons(sK57,iPr_def_10) = sK59 )
| ~ ssList(cons(sK57,iPr_def_12))
| ~ rearsegP(sK59,cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60034,c_8916,c_59801]) ).
tcf(c_60048,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(cons(sK57,iPr_def_10))
| ~ frontsegP(cons(sK57,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_59651,c_173]) ).
tcf(c_60049,plain,
( ( cons(sK57,iPr_def_10) = cons(sK57,iPr_def_12) )
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(cons(sK57,iPr_def_10))
| ~ frontsegP(cons(sK57,iPr_def_12),cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_59651,c_174]) ).
tcf(c_60050,plain,
( ( app(cons(sK57,iPr_def_12),sK11(cons(sK57,iPr_def_10),cons(sK57,iPr_def_12))) = cons(sK57,iPr_def_10) )
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_59651,c_63]) ).
tcf(c_60054,plain,
( ( app(cons(sK57,iPr_def_12),sK11(cons(sK57,iPr_def_10),cons(sK57,iPr_def_12))) = cons(sK57,iPr_def_10) )
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60050,c_59801]) ).
tcf(c_60057,plain,
( ( cons(sK57,iPr_def_10) = cons(sK57,iPr_def_12) )
| ~ ssList(cons(sK57,iPr_def_12))
| ~ frontsegP(cons(sK57,iPr_def_12),cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60049,c_59801]) ).
tcf(c_60065,plain,
! [X0: $i] :
( rearsegP(app(sK56,sK56),X0)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ~ rearsegP(sK11(app(sK56,sK56),sK56),X0) ),
inference(superposition,[status(thm)],[c_59007,c_183]) ).
tcf(c_60066,plain,
( ( sK11(app(sK56,sK56),sK56) = app(sK56,sK56) )
| ~ ssList(app(sK56,sK56))
| ~ ssList(sK11(app(sK56,sK56),sK56))
| ~ rearsegP(sK11(app(sK56,sK56),sK56),app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_59007,c_184]) ).
tcf(c_60067,plain,
( ( app(sK12(app(sK56,sK56),sK11(app(sK56,sK56),sK56)),sK11(app(sK56,sK56),sK56)) = app(sK56,sK56) )
| ~ ssList(app(sK56,sK56))
| ~ ssList(sK11(app(sK56,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_59007,c_66]) ).
tcf(c_60101,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK56,sK56),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_47433,c_173]) ).
tcf(c_60102,plain,
! [X0: $i] :
( ( app(sK56,sK56) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK56))
| ~ frontsegP(X0,app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_47433,c_174]) ).
tcf(c_60103,plain,
! [X0: $i] :
( ( app(X0,sK11(app(sK56,sK56),X0)) = app(sK56,sK56) )
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_47433,c_63]) ).
tcf(c_60128,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ ssList(app(app(X0,cons(hd(tl(sK58)),X1)),tl(sK58)))
| ~ duplicatefreeP(app(app(X0,cons(hd(tl(sK58)),X1)),cons(hd(tl(sK58)),tl(tl(sK58))))) ),
inference(superposition,[status(thm)],[c_16306,c_130]) ).
tcf(c_60129,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(tl(sK58)),X1)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ ssList(app(app(X0,tl(sK58)),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(tl(sK58)),tl(tl(sK58)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16306,c_122]) ).
tcf(c_60130,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(tl(sK58)),X1)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ ssList(app(app(X0,tl(sK58)),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(tl(sK58)),tl(tl(sK58)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16306,c_114]) ).
tcf(c_60131,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ ssList(app(app(X0,tl(sK58)),cons(hd(tl(sK58)),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(tl(sK58)),tl(tl(sK58)))),cons(hd(tl(sK58)),X1))) ),
inference(superposition,[status(thm)],[c_16306,c_130]) ).
tcf(c_60135,plain,
! [X0: $i] :
( memberP(app(X0,tl(sK58)),hd(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X0)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ ssList(app(X0,cons(hd(tl(sK58)),tl(tl(sK58))))) ),
inference(superposition,[status(thm)],[c_16306,c_54]) ).
tcf(c_60136,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(sK58)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(tl(sK58)),tl(tl(sK58))))) ),
inference(superposition,[status(thm)],[c_16306,c_122]) ).
tcf(c_60137,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(sK58)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(tl(sK58)),tl(tl(sK58))))) ),
inference(superposition,[status(thm)],[c_16306,c_114]) ).
tcf(c_60141,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( hd(tl(sK58)) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ ssList(app(X0,cons(X1,tl(sK58))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(tl(sK58)),tl(tl(sK58)))))) ),
inference(superposition,[status(thm)],[c_16306,c_137]) ).
tcf(c_60144,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( hd(tl(sK58)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ frontsegP(cons(X0,X1),tl(sK58)) ),
inference(superposition,[status(thm)],[c_16306,c_178]) ).
tcf(c_60145,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ frontsegP(cons(X0,X1),tl(sK58)) ),
inference(superposition,[status(thm)],[c_16306,c_179]) ).
tcf(c_60146,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( tl(tl(sK58)) = nil )
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ( tl(sK58) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16306,c_27842]) ).
tcf(c_60147,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( hd(tl(sK58)) = sK57 )
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ( tl(sK58) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16306,c_27744]) ).
tcf(c_60148,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( hd(tl(sK58)) = sK57 )
| ~ frontsegP(iPr_def_11,tl(sK58))
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58))) ),
inference(superposition,[status(thm)],[c_16306,c_27481]) ).
tcf(c_60149,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( hd(tl(sK58)) = sK57 )
| ~ frontsegP(tl(sK58),iPr_def_11)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58))) ),
inference(superposition,[status(thm)],[c_16306,c_27471]) ).
tcf(c_60150,plain,
( frontsegP(nil,tl(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ frontsegP(iPr_def_11,tl(sK58))
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58))) ),
inference(superposition,[status(thm)],[c_16306,c_26657]) ).
tcf(c_60151,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( tl(tl(sK58)) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ( cons(X0,X1) != tl(sK58) ) ),
inference(superposition,[status(thm)],[c_16306,c_144]) ).
tcf(c_60152,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( hd(tl(sK58)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ( cons(X0,X1) != tl(sK58) ) ),
inference(superposition,[status(thm)],[c_16306,c_143]) ).
tcf(c_60153,plain,
! [X0: $i,X1: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ( hd(tl(sK58)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ frontsegP(tl(sK58),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_16306,c_178]) ).
tcf(c_60154,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(tl(sK58)),X1)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ frontsegP(tl(sK58),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_16306,c_179]) ).
tcf(c_60155,plain,
! [X0: $i] :
( memberP(tl(tl(sK58)),X0)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ( hd(tl(sK58)) = X0 )
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ memberP(tl(sK58),X0) ),
inference(superposition,[status(thm)],[c_16306,c_170]) ).
tcf(c_60156,plain,
( lt(hd(tl(sK58)),hd(tl(tl(sK58))))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ( tl(tl(sK58)) = nil )
| ~ strictorderedP(tl(sK58))
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58))) ),
inference(superposition,[status(thm)],[c_16306,c_214]) ).
tcf(c_60157,plain,
( leq(hd(tl(sK58)),hd(tl(tl(sK58))))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ( tl(tl(sK58)) = nil )
| ~ totalorderedP(tl(sK58))
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58))) ),
inference(superposition,[status(thm)],[c_16306,c_208]) ).
tcf(c_60158,plain,
( strictorderedP(tl(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ( tl(tl(sK58)) = nil )
| ~ strictorderedP(tl(sK58))
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58))) ),
inference(superposition,[status(thm)],[c_16306,c_213]) ).
tcf(c_60159,plain,
( totalorderedP(tl(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ( tl(tl(sK58)) = nil )
| ~ totalorderedP(tl(sK58))
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58))) ),
inference(superposition,[status(thm)],[c_16306,c_207]) ).
tcf(c_60161,plain,
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ( tl(tl(sK58)) != tl(sK58) ) ),
inference(superposition,[status(thm)],[c_16306,c_142]) ).
tcf(c_60162,plain,
( memberP(tl(sK58),hd(tl(sK58)))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58))) ),
inference(superposition,[status(thm)],[c_16306,c_168]) ).
tcf(c_60164,plain,
! [X0: $i] :
( frontsegP(tl(sK58),cons(hd(tl(sK58)),X0))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X0)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ frontsegP(tl(tl(sK58)),X0) ),
inference(superposition,[status(thm)],[c_16306,c_177]) ).
tcf(c_60165,plain,
! [X0: $i] :
( memberP(tl(sK58),X0)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ memberP(tl(tl(sK58)),X0) ),
inference(superposition,[status(thm)],[c_16306,c_169]) ).
tcf(c_60166,plain,
! [X0: $i] :
( frontsegP(cons(hd(tl(sK58)),X0),tl(sK58))
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X0)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ frontsegP(X0,tl(tl(sK58))) ),
inference(superposition,[status(thm)],[c_16306,c_177]) ).
tcf(c_60748,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_11,cons(sK57,iPr_def_10)) = nil )
| ( app(iPr_def_11,cons(sK57,iPr_def_10)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,cons(sK57,iPr_def_10)))
| ( hd(X0) != sK57 )
| ( tl(app(iPr_def_11,cons(sK57,iPr_def_10))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_59803,c_223]) ).
tcf(c_60749,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_11,cons(sK57,iPr_def_10))))
| ( app(iPr_def_11,cons(sK57,iPr_def_10)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(app(iPr_def_11,cons(sK57,iPr_def_10)))
| ~ ssList(app(iPr_def_11,cons(sK57,iPr_def_10))) ),
inference(superposition,[status(thm)],[c_59803,c_212]) ).
tcf(c_60750,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_11,cons(sK57,iPr_def_10))))
| ( app(iPr_def_11,cons(sK57,iPr_def_10)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(app(iPr_def_11,cons(sK57,iPr_def_10)))
| ~ ssList(app(iPr_def_11,cons(sK57,iPr_def_10))) ),
inference(superposition,[status(thm)],[c_59803,c_206]) ).
tcf(c_60779,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,cons(sK57,iPr_def_10)) = nil )
| ( cons(sK60,cons(sK57,iPr_def_10)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,cons(sK57,iPr_def_10)))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,cons(sK57,iPr_def_10))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_59804,c_223]) ).
tcf(c_60780,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,cons(sK57,iPr_def_10))))
| ( cons(sK60,cons(sK57,iPr_def_10)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,cons(sK57,iPr_def_10)))
| ~ ssList(cons(sK60,cons(sK57,iPr_def_10))) ),
inference(superposition,[status(thm)],[c_59804,c_212]) ).
tcf(c_60781,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,cons(sK57,iPr_def_10))))
| ( cons(sK60,cons(sK57,iPr_def_10)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,cons(sK57,iPr_def_10)))
| ~ ssList(cons(sK60,cons(sK57,iPr_def_10))) ),
inference(superposition,[status(thm)],[c_59804,c_206]) ).
tcf(c_60794,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,cons(sK57,iPr_def_10)) = nil )
| ( cons(sK60,cons(sK57,iPr_def_10)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,cons(sK57,iPr_def_10)))
| ( hd(X0) != sK60 )
| ( cons(sK57,iPr_def_10) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_60779,c_59805]) ).
tcf(c_60853,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,cons(sK57,iPr_def_10)) = nil )
| ( cons(sK7,cons(sK57,iPr_def_10)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,cons(sK57,iPr_def_10)))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,cons(sK57,iPr_def_10))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_59810,c_223]) ).
tcf(c_60854,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,cons(sK57,iPr_def_10))))
| ( cons(sK7,cons(sK57,iPr_def_10)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,cons(sK57,iPr_def_10)))
| ~ ssList(cons(sK7,cons(sK57,iPr_def_10))) ),
inference(superposition,[status(thm)],[c_59810,c_212]) ).
tcf(c_60855,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,cons(sK57,iPr_def_10))))
| ( cons(sK7,cons(sK57,iPr_def_10)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,cons(sK57,iPr_def_10)))
| ~ ssList(cons(sK7,cons(sK57,iPr_def_10))) ),
inference(superposition,[status(thm)],[c_59810,c_206]) ).
tcf(c_60868,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,cons(sK57,iPr_def_10)) = nil )
| ( cons(sK7,cons(sK57,iPr_def_10)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,cons(sK57,iPr_def_10)))
| ( hd(X0) != sK7 )
| ( cons(sK57,iPr_def_10) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_60853,c_59807]) ).
tcf(c_60880,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,cons(sK57,iPr_def_10)) = nil )
| ( cons(sK6,cons(sK57,iPr_def_10)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,cons(sK57,iPr_def_10)))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,cons(sK57,iPr_def_10))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_59811,c_223]) ).
tcf(c_60881,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,cons(sK57,iPr_def_10))))
| ( cons(sK6,cons(sK57,iPr_def_10)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,cons(sK57,iPr_def_10)))
| ~ ssList(cons(sK6,cons(sK57,iPr_def_10))) ),
inference(superposition,[status(thm)],[c_59811,c_212]) ).
tcf(c_60882,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,cons(sK57,iPr_def_10))))
| ( cons(sK6,cons(sK57,iPr_def_10)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,cons(sK57,iPr_def_10)))
| ~ ssList(cons(sK6,cons(sK57,iPr_def_10))) ),
inference(superposition,[status(thm)],[c_59811,c_206]) ).
tcf(c_60895,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,cons(sK57,iPr_def_10)) = nil )
| ( cons(sK6,cons(sK57,iPr_def_10)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,cons(sK57,iPr_def_10)))
| ( hd(X0) != sK6 )
| ( cons(sK57,iPr_def_10) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_60880,c_59808]) ).
tcf(c_60909,plain,
( ( app(sK56,sK11(app(sK56,sK58),sK56)) = app(sK56,sK58) )
| ~ ssList(sK56)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_153,c_47966]) ).
tcf(c_60910,plain,
app(sK56,sK11(app(sK56,sK58),sK56)) = app(sK56,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_60909,c_8907,c_8915]) ).
tcf(c_60911,plain,
! [X0: $i] :
( segmentP(app(app(sK56,sK58),X0),sK11(app(sK56,sK58),sK56))
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ~ ssList(app(app(sK56,sK11(app(sK56,sK58),sK56)),X0)) ),
inference(superposition,[status(thm)],[c_60910,c_67]) ).
tcf(c_60914,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK11(app(sK56,sK58),sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(app(sK56,sK58),X0)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_60910,c_167]) ).
tcf(c_60915,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ( app(sK56,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_60910,c_231]) ).
tcf(c_60916,plain,
( ( sK11(app(sK56,sK58),sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ( app(sK56,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_60910,c_230]) ).
tcf(c_60917,plain,
( frontsegP(app(sK56,sK58),sK56)
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_60910,c_382]) ).
tcf(c_60918,plain,
( rearsegP(app(sK56,sK58),sK11(app(sK56,sK58),sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_60910,c_379]) ).
tcf(c_60919,plain,
( ssList(app(sK56,sK58))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_60910,c_153]) ).
tcf(c_60920,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ( app(X0,sK11(app(sK56,sK58),sK56)) != app(sK56,sK58) ) ),
inference(superposition,[status(thm)],[c_60910,c_225]) ).
tcf(c_60921,plain,
! [X0: $i] :
( ( sK11(app(sK56,sK58),sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ( app(sK56,X0) != app(sK56,sK58) ) ),
inference(superposition,[status(thm)],[c_60910,c_226]) ).
tcf(c_60922,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK58),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_60910,c_176]) ).
tcf(c_60923,plain,
! [X0: $i] :
( memberP(app(sK56,sK58),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_60910,c_165]) ).
tcf(c_60924,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,sK58),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ~ segmentP(sK11(app(sK56,sK58),sK56),X0) ),
inference(superposition,[status(thm)],[c_60910,c_193]) ).
tcf(c_60925,plain,
! [X0: $i] :
( rearsegP(app(sK56,sK58),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ~ rearsegP(sK11(app(sK56,sK58),sK56),X0) ),
inference(superposition,[status(thm)],[c_60910,c_186]) ).
tcf(c_60926,plain,
! [X0: $i] :
( memberP(app(sK56,sK58),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ~ memberP(sK11(app(sK56,sK58),sK56),X0) ),
inference(superposition,[status(thm)],[c_60910,c_166]) ).
tcf(c_60927,plain,
( ( sK11(app(sK56,sK58),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ( app(sK56,sK58) != sK56 ) ),
inference(superposition,[status(thm)],[c_60910,c_25908]) ).
tcf(c_60928,plain,
( segmentP(app(sK56,sK58),sK56)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ~ ssList(app(sK56,sK11(app(sK56,sK58),sK56))) ),
inference(superposition,[status(thm)],[c_60910,c_26281]) ).
tcf(c_60929,plain,
! [X0: $i] :
( segmentP(app(sK56,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_60910,c_26862]) ).
tcf(c_60930,plain,
! [X0: $i] :
( segmentP(app(sK56,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_60910,c_26847]) ).
tcf(c_60931,plain,
( ssList(app(sK56,sK58))
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60919,c_8907]) ).
tcf(c_60934,plain,
( frontsegP(app(sK56,sK58),sK56)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60917,c_8907]) ).
tcf(c_60945,plain,
( rearsegP(app(sK56,sK58),sK11(app(sK56,sK58),sK56))
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60918,c_8907]) ).
tcf(c_60948,plain,
( segmentP(app(sK56,sK58),sK56)
| ~ ssList(app(sK56,sK58))
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(light_normalisation,[status(thm)],[c_60928,c_60910]) ).
tcf(c_60952,plain,
( ( nil = sK56 )
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ( app(sK56,sK58) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60915,c_8907]) ).
tcf(c_60959,plain,
! [X0: $i] :
( memberP(app(sK56,sK58),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60923,c_8907]) ).
tcf(c_60964,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60922,c_8907]) ).
tcf(c_60969,plain,
( ( sK11(app(sK56,sK58),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ( app(sK56,sK58) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60916,c_8907]) ).
tcf(c_60973,plain,
! [X0: $i] :
( memberP(app(sK56,sK58),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ~ memberP(sK11(app(sK56,sK58),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60926,c_8907]) ).
tcf(c_60978,plain,
! [X0: $i] :
( rearsegP(app(sK56,sK58),X0)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ~ rearsegP(sK11(app(sK56,sK58),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60925,c_8907]) ).
tcf(c_60983,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK11(app(sK56,sK58),sK56),X0)
| ~ ssItem(X0)
| ~ memberP(app(sK56,sK58),X0)
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60914,c_8907]) ).
tcf(c_60989,plain,
! [X0: $i] :
( ( sK11(app(sK56,sK58),sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ( app(sK56,X0) != app(sK56,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60921,c_8907]) ).
tcf(c_60994,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ( app(X0,sK11(app(sK56,sK58),sK56)) != app(sK56,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60920,c_8907]) ).
tcf(c_60999,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,sK58),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ~ segmentP(sK11(app(sK56,sK58),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60924,c_8907]) ).
tcf(c_61005,plain,
! [X0: $i] :
( segmentP(app(app(sK56,sK58),X0),sK11(app(sK56,sK58),sK56))
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ~ ssList(app(app(sK56,sK58),X0)) ),
inference(light_normalisation,[status(thm)],[c_60911,c_60910]) ).
tcf(c_61006,plain,
! [X0: $i] :
( segmentP(app(app(sK56,sK58),X0),sK11(app(sK56,sK58),sK56))
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ~ ssList(app(app(sK56,sK58),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61005,c_8907]) ).
tcf(c_61061,plain,
! [X0: $i] :
( rearsegP(app(sK56,sK58),X0)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ~ rearsegP(sK11(app(sK56,sK58),sK56),X0) ),
inference(superposition,[status(thm)],[c_60945,c_183]) ).
tcf(c_61062,plain,
( ( sK11(app(sK56,sK58),sK56) = app(sK56,sK58) )
| ~ ssList(app(sK56,sK58))
| ~ ssList(sK11(app(sK56,sK58),sK56))
| ~ rearsegP(sK11(app(sK56,sK58),sK56),app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_60945,c_184]) ).
tcf(c_61063,plain,
( ( app(sK12(app(sK56,sK58),sK11(app(sK56,sK58),sK56)),sK11(app(sK56,sK58),sK56)) = app(sK56,sK58) )
| ~ ssList(app(sK56,sK58))
| ~ ssList(sK11(app(sK56,sK58),sK56)) ),
inference(superposition,[status(thm)],[c_60945,c_66]) ).
tcf(c_61091,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK56,sK58),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_47973,c_173]) ).
tcf(c_61092,plain,
! [X0: $i] :
( ( app(sK56,sK58) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK58))
| ~ frontsegP(X0,app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_47973,c_174]) ).
tcf(c_61093,plain,
! [X0: $i] :
( ( app(X0,sK11(app(sK56,sK58),X0)) = app(sK56,sK58) )
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_47973,c_63]) ).
tcf(c_61116,plain,
( ( app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59) )
| ~ ssList(sK56)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_153,c_47986]) ).
tcf(c_61117,plain,
app(sK56,sK11(app(sK56,sK59),sK56)) = app(sK56,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_61116,c_8907,c_8916]) ).
tcf(c_61124,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ ssList(app(app(X0,cons(hd(tl(sK56)),X1)),tl(sK56)))
| ~ duplicatefreeP(app(app(X0,cons(hd(tl(sK56)),X1)),cons(hd(tl(sK56)),tl(tl(sK56))))) ),
inference(superposition,[status(thm)],[c_16307,c_130]) ).
tcf(c_61125,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(tl(sK56)),X1)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ ssList(app(app(X0,tl(sK56)),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(tl(sK56)),tl(tl(sK56)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16307,c_122]) ).
tcf(c_61126,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(tl(sK56)),X1)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ ssList(app(app(X0,tl(sK56)),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(tl(sK56)),tl(tl(sK56)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16307,c_114]) ).
tcf(c_61127,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ ssList(app(app(X0,tl(sK56)),cons(hd(tl(sK56)),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(tl(sK56)),tl(tl(sK56)))),cons(hd(tl(sK56)),X1))) ),
inference(superposition,[status(thm)],[c_16307,c_130]) ).
tcf(c_61131,plain,
! [X0: $i] :
( memberP(app(X0,tl(sK56)),hd(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X0)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ ssList(app(X0,cons(hd(tl(sK56)),tl(tl(sK56))))) ),
inference(superposition,[status(thm)],[c_16307,c_54]) ).
tcf(c_61132,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(sK56)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(tl(sK56)),tl(tl(sK56))))) ),
inference(superposition,[status(thm)],[c_16307,c_122]) ).
tcf(c_61133,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(sK56)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(tl(sK56)),tl(tl(sK56))))) ),
inference(superposition,[status(thm)],[c_16307,c_114]) ).
tcf(c_61137,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(tl(sK56)) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ ssList(app(X0,cons(X1,tl(sK56))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(tl(sK56)),tl(tl(sK56)))))) ),
inference(superposition,[status(thm)],[c_16307,c_137]) ).
tcf(c_61140,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(tl(sK56)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ frontsegP(cons(X0,X1),tl(sK56)) ),
inference(superposition,[status(thm)],[c_16307,c_178]) ).
tcf(c_61141,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ frontsegP(cons(X0,X1),tl(sK56)) ),
inference(superposition,[status(thm)],[c_16307,c_179]) ).
tcf(c_61142,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( tl(tl(sK56)) = nil )
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ( tl(sK56) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16307,c_27842]) ).
tcf(c_61143,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(tl(sK56)) = sK57 )
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ( tl(sK56) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16307,c_27744]) ).
tcf(c_61144,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(tl(sK56)) = sK57 )
| ~ frontsegP(iPr_def_11,tl(sK56))
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56))) ),
inference(superposition,[status(thm)],[c_16307,c_27481]) ).
tcf(c_61145,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(tl(sK56)) = sK57 )
| ~ frontsegP(tl(sK56),iPr_def_11)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56))) ),
inference(superposition,[status(thm)],[c_16307,c_27471]) ).
tcf(c_61146,plain,
( frontsegP(nil,tl(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ frontsegP(iPr_def_11,tl(sK56))
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56))) ),
inference(superposition,[status(thm)],[c_16307,c_26657]) ).
tcf(c_61147,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( tl(tl(sK56)) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ( cons(X0,X1) != tl(sK56) ) ),
inference(superposition,[status(thm)],[c_16307,c_144]) ).
tcf(c_61148,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(tl(sK56)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ( cons(X0,X1) != tl(sK56) ) ),
inference(superposition,[status(thm)],[c_16307,c_143]) ).
tcf(c_61149,plain,
! [X0: $i,X1: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(tl(sK56)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ frontsegP(tl(sK56),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_16307,c_178]) ).
tcf(c_61150,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(tl(sK56)),X1)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ frontsegP(tl(sK56),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_16307,c_179]) ).
tcf(c_61151,plain,
! [X0: $i] :
( memberP(tl(tl(sK56)),X0)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ( hd(tl(sK56)) = X0 )
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ memberP(tl(sK56),X0) ),
inference(superposition,[status(thm)],[c_16307,c_170]) ).
tcf(c_61152,plain,
( lt(hd(tl(sK56)),hd(tl(tl(sK56))))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ( tl(tl(sK56)) = nil )
| ~ strictorderedP(tl(sK56))
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56))) ),
inference(superposition,[status(thm)],[c_16307,c_214]) ).
tcf(c_61153,plain,
( leq(hd(tl(sK56)),hd(tl(tl(sK56))))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ( tl(tl(sK56)) = nil )
| ~ totalorderedP(tl(sK56))
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56))) ),
inference(superposition,[status(thm)],[c_16307,c_208]) ).
tcf(c_61154,plain,
( strictorderedP(tl(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ( tl(tl(sK56)) = nil )
| ~ strictorderedP(tl(sK56))
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56))) ),
inference(superposition,[status(thm)],[c_16307,c_213]) ).
tcf(c_61155,plain,
( totalorderedP(tl(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ( tl(tl(sK56)) = nil )
| ~ totalorderedP(tl(sK56))
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56))) ),
inference(superposition,[status(thm)],[c_16307,c_207]) ).
tcf(c_61157,plain,
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ( tl(tl(sK56)) != tl(sK56) ) ),
inference(superposition,[status(thm)],[c_16307,c_142]) ).
tcf(c_61158,plain,
( memberP(tl(sK56),hd(tl(sK56)))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56))) ),
inference(superposition,[status(thm)],[c_16307,c_168]) ).
tcf(c_61160,plain,
! [X0: $i] :
( frontsegP(tl(sK56),cons(hd(tl(sK56)),X0))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X0)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ frontsegP(tl(tl(sK56)),X0) ),
inference(superposition,[status(thm)],[c_16307,c_177]) ).
tcf(c_61161,plain,
! [X0: $i] :
( memberP(tl(sK56),X0)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssItem(X0)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ memberP(tl(tl(sK56)),X0) ),
inference(superposition,[status(thm)],[c_16307,c_169]) ).
tcf(c_61162,plain,
! [X0: $i] :
( frontsegP(cons(hd(tl(sK56)),X0),tl(sK56))
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X0)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ frontsegP(X0,tl(tl(sK56))) ),
inference(superposition,[status(thm)],[c_16307,c_177]) ).
tcf(c_61556,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK58),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(app(app(cons(sK57,sK58),nil),X0)) ),
inference(superposition,[status(thm)],[c_42609,c_67]) ).
tcf(c_61562,plain,
( frontsegP(cons(sK57,sK58),cons(sK57,sK58))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42609,c_382]) ).
tcf(c_61563,plain,
( rearsegP(cons(sK57,sK58),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42609,c_379]) ).
tcf(c_61565,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ( app(X0,nil) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_42609,c_225]) ).
tcf(c_61566,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ( app(cons(sK57,sK58),X0) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_42609,c_226]) ).
tcf(c_61569,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK58),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42609,c_193]) ).
tcf(c_61570,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK58),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42609,c_186]) ).
tcf(c_61575,plain,
( segmentP(cons(sK57,sK58),sK58)
| ~ ssList(nil)
| ~ ssList(app(cons(sK57,sK58),nil)) ),
inference(superposition,[status(thm)],[c_42609,c_42481]) ).
tcf(c_61576,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK58),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_42609,c_42475]) ).
tcf(c_61577,plain,
rearsegP(cons(sK57,sK58),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_61563,c_141,c_42438]) ).
tcf(c_61578,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61576,c_141]) ).
tcf(c_61582,plain,
( segmentP(cons(sK57,sK58),sK58)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58)) ),
inference(light_normalisation,[status(thm)],[c_61575,c_42609]) ).
tcf(c_61583,plain,
segmentP(cons(sK57,sK58),sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_61582,c_141,c_42438]) ).
tcf(c_61584,plain,
frontsegP(cons(sK57,sK58),cons(sK57,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_61562,c_141,c_42438]) ).
tcf(c_61585,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK58),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61570,c_141,c_42438]) ).
tcf(c_61589,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK58),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61569,c_141,c_42438]) ).
tcf(c_61594,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK57,sK58),X0) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61566,c_141,c_42438]) ).
tcf(c_61598,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61565,c_141,c_42438]) ).
tcf(c_61602,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK58),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(app(cons(sK57,sK58),X0)) ),
inference(light_normalisation,[status(thm)],[c_61556,c_42609]) ).
tcf(c_61603,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK58),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK58),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61602,c_141,c_42438]) ).
tcf(c_61645,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58))
| ~ rearsegP(nil,cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_61577,c_184]) ).
tcf(c_61646,plain,
( ( app(sK12(cons(sK57,sK58),nil),nil) = cons(sK57,sK58) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_61577,c_66]) ).
tcf(c_61647,plain,
app(sK12(cons(sK57,sK58),nil),nil) = cons(sK57,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_61646,c_141,c_42438]) ).
tcf(c_61648,plain,
~ rearsegP(nil,cons(sK57,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_61645,c_42445,c_141,c_42438]) ).
tcf(c_61649,plain,
( ( app(app(sK13(cons(sK57,sK58),sK58),sK58),sK14(cons(sK57,sK58),sK58)) = cons(sK57,sK58) )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_61583,c_70]) ).
tcf(c_61650,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK58),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_61583,c_190]) ).
tcf(c_61651,plain,
( ( cons(sK57,sK58) = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK58))
| ~ segmentP(sK58,cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_61583,c_191]) ).
tcf(c_61652,plain,
~ segmentP(sK58,cons(sK57,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_61651,c_42441,c_8915,c_42438]) ).
tcf(c_61654,plain,
app(app(sK13(cons(sK57,sK58),sK58),sK58),sK14(cons(sK57,sK58),sK58)) = cons(sK57,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_61649,c_8915,c_42438]) ).
tcf(c_61655,plain,
! [X0: $i] :
( segmentP(app(app(sK56,sK59),X0),sK11(app(sK56,sK59),sK56))
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ~ ssList(app(app(sK56,sK11(app(sK56,sK59),sK56)),X0)) ),
inference(superposition,[status(thm)],[c_61117,c_67]) ).
tcf(c_61658,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK11(app(sK56,sK59),sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(app(sK56,sK59),X0)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_61117,c_167]) ).
tcf(c_61659,plain,
( ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_61117,c_231]) ).
tcf(c_61660,plain,
( ( sK11(app(sK56,sK59),sK56) = nil )
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_61117,c_230]) ).
tcf(c_61661,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_61117,c_382]) ).
tcf(c_61662,plain,
( rearsegP(app(sK56,sK59),sK11(app(sK56,sK59),sK56))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_61117,c_379]) ).
tcf(c_61663,plain,
( ssList(app(sK56,sK59))
| ~ ssList(sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_61117,c_153]) ).
tcf(c_61664,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(X0,sK11(app(sK56,sK59),sK56)) != app(sK56,sK59) ) ),
inference(superposition,[status(thm)],[c_61117,c_225]) ).
tcf(c_61665,plain,
! [X0: $i] :
( ( sK11(app(sK56,sK59),sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,X0) != app(sK56,sK59) ) ),
inference(superposition,[status(thm)],[c_61117,c_226]) ).
tcf(c_61666,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK59),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_61117,c_176]) ).
tcf(c_61667,plain,
! [X0: $i] :
( memberP(app(sK56,sK59),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_61117,c_165]) ).
tcf(c_61668,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,sK59),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ~ segmentP(sK11(app(sK56,sK59),sK56),X0) ),
inference(superposition,[status(thm)],[c_61117,c_193]) ).
tcf(c_61669,plain,
! [X0: $i] :
( rearsegP(app(sK56,sK59),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ~ rearsegP(sK11(app(sK56,sK59),sK56),X0) ),
inference(superposition,[status(thm)],[c_61117,c_186]) ).
tcf(c_61670,plain,
! [X0: $i] :
( memberP(app(sK56,sK59),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ~ memberP(sK11(app(sK56,sK59),sK56),X0) ),
inference(superposition,[status(thm)],[c_61117,c_166]) ).
tcf(c_61671,plain,
( ( sK11(app(sK56,sK59),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != sK56 ) ),
inference(superposition,[status(thm)],[c_61117,c_25908]) ).
tcf(c_61672,plain,
( segmentP(app(sK56,sK59),sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ~ ssList(app(sK56,sK11(app(sK56,sK59),sK56))) ),
inference(superposition,[status(thm)],[c_61117,c_26281]) ).
tcf(c_61673,plain,
! [X0: $i] :
( segmentP(app(sK56,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_61117,c_26862]) ).
tcf(c_61674,plain,
! [X0: $i] :
( segmentP(app(sK56,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_61117,c_26847]) ).
tcf(c_61675,plain,
( ssList(app(sK56,sK59))
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61663,c_8907]) ).
tcf(c_61678,plain,
( frontsegP(app(sK56,sK59),sK56)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61661,c_8907]) ).
tcf(c_61689,plain,
( rearsegP(app(sK56,sK59),sK11(app(sK56,sK59),sK56))
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61662,c_8907]) ).
tcf(c_61692,plain,
( segmentP(app(sK56,sK59),sK56)
| ~ ssList(app(sK56,sK59))
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(light_normalisation,[status(thm)],[c_61672,c_61117]) ).
tcf(c_61696,plain,
( ( nil = sK56 )
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61659,c_8907]) ).
tcf(c_61703,plain,
! [X0: $i] :
( memberP(app(sK56,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61667,c_8907]) ).
tcf(c_61708,plain,
! [X0: $i] :
( frontsegP(app(sK56,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61666,c_8907]) ).
tcf(c_61713,plain,
( ( sK11(app(sK56,sK59),sK56) = nil )
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,sK59) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61660,c_8907]) ).
tcf(c_61717,plain,
! [X0: $i] :
( memberP(app(sK56,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ~ memberP(sK11(app(sK56,sK59),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61670,c_8907]) ).
tcf(c_61722,plain,
! [X0: $i] :
( rearsegP(app(sK56,sK59),X0)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ~ rearsegP(sK11(app(sK56,sK59),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61669,c_8907]) ).
tcf(c_61727,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK11(app(sK56,sK59),sK56),X0)
| ~ ssItem(X0)
| ~ memberP(app(sK56,sK59),X0)
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61658,c_8907]) ).
tcf(c_61733,plain,
! [X0: $i] :
( ( sK11(app(sK56,sK59),sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(sK56,X0) != app(sK56,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61665,c_8907]) ).
tcf(c_61738,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ( app(X0,sK11(app(sK56,sK59),sK56)) != app(sK56,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61664,c_8907]) ).
tcf(c_61743,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,sK59),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ~ segmentP(sK11(app(sK56,sK59),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61668,c_8907]) ).
tcf(c_61749,plain,
! [X0: $i] :
( segmentP(app(app(sK56,sK59),X0),sK11(app(sK56,sK59),sK56))
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ~ ssList(app(app(sK56,sK59),X0)) ),
inference(light_normalisation,[status(thm)],[c_61655,c_61117]) ).
tcf(c_61750,plain,
! [X0: $i] :
( segmentP(app(app(sK56,sK59),X0),sK11(app(sK56,sK59),sK56))
| ~ ssList(X0)
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ~ ssList(app(app(sK56,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61749,c_8907]) ).
tcf(c_61812,plain,
! [X0: $i] :
( rearsegP(app(sK56,sK59),X0)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ~ rearsegP(sK11(app(sK56,sK59),sK56),X0) ),
inference(superposition,[status(thm)],[c_61689,c_183]) ).
tcf(c_61813,plain,
( ( sK11(app(sK56,sK59),sK56) = app(sK56,sK59) )
| ~ ssList(app(sK56,sK59))
| ~ ssList(sK11(app(sK56,sK59),sK56))
| ~ rearsegP(sK11(app(sK56,sK59),sK56),app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_61689,c_184]) ).
tcf(c_61814,plain,
( ( app(sK12(app(sK56,sK59),sK11(app(sK56,sK59),sK56)),sK11(app(sK56,sK59),sK56)) = app(sK56,sK59) )
| ~ ssList(app(sK56,sK59))
| ~ ssList(sK11(app(sK56,sK59),sK56)) ),
inference(superposition,[status(thm)],[c_61689,c_66]) ).
tcf(c_61842,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(sK56,sK59),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_47993,c_173]) ).
tcf(c_61843,plain,
! [X0: $i] :
( ( app(sK56,sK59) = X0 )
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK59))
| ~ frontsegP(X0,app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_47993,c_174]) ).
tcf(c_61844,plain,
! [X0: $i] :
( ( app(X0,sK11(app(sK56,sK59),X0)) = app(sK56,sK59) )
| ~ ssList(X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_47993,c_63]) ).
tcf(c_61867,plain,
( ( app(sK12(sK56,sK11(sK56,nil)),sK11(sK56,nil)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ frontsegP(sK56,nil) ),
inference(superposition,[status(thm)],[c_62,c_49332]) ).
tcf(c_61868,plain,
app(sK12(sK56,sK11(sK56,nil)),sK11(sK56,nil)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_61867,c_8907,c_141,c_13618]) ).
tcf(c_61869,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK11(sK56,nil))
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil)))
| ~ ssList(app(app(sK12(sK56,sK11(sK56,nil)),sK11(sK56,nil)),X0)) ),
inference(superposition,[status(thm)],[c_61868,c_67]) ).
tcf(c_61872,plain,
! [X0: $i] :
( memberP(sK11(sK56,nil),X0)
| memberP(sK12(sK56,sK11(sK56,nil)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil))) ),
inference(superposition,[status(thm)],[c_61868,c_167]) ).
tcf(c_61873,plain,
( ( sK12(sK56,sK11(sK56,nil)) = nil )
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_61868,c_231]) ).
tcf(c_61874,plain,
( ( sK11(sK56,nil) = nil )
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_61868,c_230]) ).
tcf(c_61875,plain,
( frontsegP(sK56,sK12(sK56,sK11(sK56,nil)))
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil))) ),
inference(superposition,[status(thm)],[c_61868,c_382]) ).
tcf(c_61878,plain,
! [X0: $i] :
( ( sK12(sK56,sK11(sK56,nil)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil)))
| ( app(X0,sK11(sK56,nil)) != sK56 ) ),
inference(superposition,[status(thm)],[c_61868,c_225]) ).
tcf(c_61879,plain,
! [X0: $i] :
( ( sK11(sK56,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil)))
| ( app(sK12(sK56,sK11(sK56,nil)),X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_61868,c_226]) ).
tcf(c_61880,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil)))
| ~ frontsegP(sK12(sK56,sK11(sK56,nil)),X0) ),
inference(superposition,[status(thm)],[c_61868,c_176]) ).
tcf(c_61881,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK56,nil))
| ~ ssList(sK12(sK56,sK11(sK56,nil)))
| ~ memberP(sK12(sK56,sK11(sK56,nil)),X0) ),
inference(superposition,[status(thm)],[c_61868,c_165]) ).
tcf(c_61930,plain,
( ( app(cons(sK57,sK58),sK11(cons(sK57,sK58),cons(sK57,sK58))) = cons(sK57,sK58) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_61584,c_63]) ).
tcf(c_61933,plain,
app(cons(sK57,sK58),sK11(cons(sK57,sK58),cons(sK57,sK58))) = cons(sK57,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_61930,c_42438]) ).
tcf(c_61934,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK57,sK58),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK57,sK58)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_42610,c_122]) ).
tcf(c_61935,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK57,sK58),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK57,sK58)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_42610,c_114]) ).
tcf(c_61936,plain,
! [X0: $i] :
( ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK58),cons(sK57,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK57,sK58)),cons(sK57,X0))) ),
inference(superposition,[status(thm)],[c_42610,c_130]) ).
tcf(c_61940,plain,
( memberP(cons(sK57,sK58),sK57)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,sK58))) ),
inference(superposition,[status(thm)],[c_42610,c_54]) ).
tcf(c_61941,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK58),X0),cons(sK57,sK58))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(app(app(nil,cons(sK57,sK58)),X0)) ),
inference(superposition,[status(thm)],[c_42610,c_67]) ).
tcf(c_61947,plain,
( frontsegP(cons(sK57,sK58),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42610,c_382]) ).
tcf(c_61948,plain,
( rearsegP(cons(sK57,sK58),cons(sK57,sK58))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42610,c_379]) ).
tcf(c_61950,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ( app(X0,cons(sK57,sK58)) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_42610,c_225]) ).
tcf(c_61954,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ( app(nil,X0) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_42610,c_226]) ).
tcf(c_61955,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK58),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_42610,c_176]) ).
tcf(c_61957,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK58),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ segmentP(cons(sK57,sK58),X0) ),
inference(superposition,[status(thm)],[c_42610,c_193]) ).
tcf(c_61960,plain,
frontsegP(cons(sK57,sK58),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_61947,c_141,c_42438]) ).
tcf(c_61961,plain,
rearsegP(cons(sK57,sK58),cons(sK57,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_61948,c_141,c_42438]) ).
tcf(c_61962,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61955,c_141,c_42438]) ).
tcf(c_61966,plain,
( memberP(cons(sK57,sK58),sK57)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK58)) ),
inference(light_normalisation,[status(thm)],[c_61940,c_42610]) ).
tcf(c_61967,plain,
memberP(cons(sK57,sK58),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_61966,c_8915,c_141,c_8914,c_42438]) ).
tcf(c_61968,plain,
! [X0: $i] :
( ( cons(sK57,sK58) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61954,c_141,c_42438]) ).
tcf(c_61972,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK57,sK58)) != cons(sK57,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61950,c_141,c_42438]) ).
tcf(c_61976,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK58),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(cons(sK57,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61957,c_141,c_42438]) ).
tcf(c_61981,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK58),X0),cons(sK57,sK58))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK58))
| ~ ssList(app(cons(sK57,sK58),X0)) ),
inference(light_normalisation,[status(thm)],[c_61941,c_42610]) ).
tcf(c_61982,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK58),X0),cons(sK57,sK58))
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK58),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61981,c_141,c_42438]) ).
tcf(c_62004,plain,
! [X0: $i] :
( ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK57,sK58),cons(sK57,X0)))
| ~ ssList(app(cons(sK57,sK58),cons(sK57,X0))) ),
inference(light_normalisation,[status(thm)],[c_61936,c_42610]) ).
tcf(c_62005,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK57,sK58),cons(sK57,X0)))
| ~ ssList(app(cons(sK57,sK58),cons(sK57,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62004,c_8915,c_141,c_8914]) ).
tcf(c_62009,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK57,sK58),cons(X0,X1)))
| ~ ssList(app(cons(sK57,sK58),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_61935,c_42610]) ).
tcf(c_62010,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK57,sK58),cons(X0,X1)))
| ~ ssList(app(cons(sK57,sK58),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62009,c_8915,c_141,c_8914]) ).
tcf(c_62016,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK57,sK58),cons(X0,X1)))
| ~ ssList(app(cons(sK57,sK58),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_61934,c_42610]) ).
tcf(c_62017,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK57,sK58),cons(X0,X1)))
| ~ ssList(app(cons(sK57,sK58),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62016,c_8915,c_141,c_8914]) ).
tcf(c_62062,plain,
( ( cons(sK57,sK58) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58))
| ~ frontsegP(nil,cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_61960,c_174]) ).
tcf(c_62063,plain,
( ( app(nil,sK11(cons(sK57,sK58),nil)) = cons(sK57,sK58) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_61960,c_63]) ).
tcf(c_62064,plain,
app(nil,sK11(cons(sK57,sK58),nil)) = cons(sK57,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_62063,c_141,c_42438]) ).
tcf(c_62065,plain,
~ frontsegP(nil,cons(sK57,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_62062,c_42445,c_141,c_42438]) ).
tcf(c_62066,plain,
( ( app(sK8(cons(sK57,sK58),sK57),cons(sK57,sK9(cons(sK57,sK58),sK57))) = cons(sK57,sK58) )
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_61967,c_57]) ).
tcf(c_62067,plain,
( ( app(nil,sK8(cons(sK57,sK58),sK57)) = sK8(cons(sK57,sK58),sK57) )
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_61967,c_12510]) ).
tcf(c_62070,plain,
app(nil,sK8(cons(sK57,sK58),sK57)) = sK8(cons(sK57,sK58),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_62067,c_8914,c_42438]) ).
tcf(c_62071,plain,
app(sK8(cons(sK57,sK58),sK57),cons(sK57,sK9(cons(sK57,sK58),sK57))) = cons(sK57,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_62066,c_8914,c_42438]) ).
tcf(c_62074,plain,
( ( app(sK12(cons(sK57,sK58),cons(sK57,sK58)),cons(sK57,sK58)) = cons(sK57,sK58) )
| ~ ssList(cons(sK57,sK58)) ),
inference(superposition,[status(thm)],[c_61961,c_66]) ).
tcf(c_62075,plain,
app(sK12(cons(sK57,sK58),cons(sK57,sK58)),cons(sK57,sK58)) = cons(sK57,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_62074,c_42438]) ).
tcf(c_62078,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,cons(sK57,iPr_def_10)) = nil )
| ( cons(sK57,cons(sK57,iPr_def_10)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,cons(sK57,iPr_def_10)))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,cons(sK57,iPr_def_10))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_59829,c_223]) ).
tcf(c_62079,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,cons(sK57,iPr_def_10))))
| ( cons(sK57,cons(sK57,iPr_def_10)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,cons(sK57,iPr_def_10)))
| ~ ssList(cons(sK57,cons(sK57,iPr_def_10))) ),
inference(superposition,[status(thm)],[c_59829,c_212]) ).
tcf(c_62080,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,cons(sK57,iPr_def_10))))
| ( cons(sK57,cons(sK57,iPr_def_10)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,cons(sK57,iPr_def_10)))
| ~ ssList(cons(sK57,cons(sK57,iPr_def_10))) ),
inference(superposition,[status(thm)],[c_59829,c_206]) ).
tcf(c_62093,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,cons(sK57,iPr_def_10)) = nil )
| ( cons(sK57,cons(sK57,iPr_def_10)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,cons(sK57,iPr_def_10)))
| ( hd(X0) != sK57 )
| ( cons(sK57,iPr_def_10) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_62078,c_59828]) ).
tcf(c_62155,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(app(cons(sK57,sK56),nil),X0)) ),
inference(superposition,[status(thm)],[c_45825,c_67]) ).
tcf(c_62161,plain,
( frontsegP(cons(sK57,sK56),cons(sK57,sK56))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45825,c_382]) ).
tcf(c_62162,plain,
( rearsegP(cons(sK57,sK56),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45825,c_379]) ).
tcf(c_62164,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( app(X0,nil) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45825,c_225]) ).
tcf(c_62165,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( app(cons(sK57,sK56),X0) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45825,c_226]) ).
tcf(c_62168,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK56),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45825,c_193]) ).
tcf(c_62169,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45825,c_186]) ).
tcf(c_62174,plain,
( segmentP(cons(sK57,sK56),sK56)
| ~ ssList(nil)
| ~ ssList(app(cons(sK57,sK56),nil)) ),
inference(superposition,[status(thm)],[c_45825,c_45764]) ).
tcf(c_62175,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_45825,c_45758]) ).
tcf(c_62176,plain,
rearsegP(cons(sK57,sK56),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_62162,c_141,c_45721]) ).
tcf(c_62177,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62175,c_141]) ).
tcf(c_62181,plain,
( segmentP(cons(sK57,sK56),sK56)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(light_normalisation,[status(thm)],[c_62174,c_45825]) ).
tcf(c_62182,plain,
segmentP(cons(sK57,sK56),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_62181,c_141,c_45721]) ).
tcf(c_62183,plain,
frontsegP(cons(sK57,sK56),cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_62161,c_141,c_45721]) ).
tcf(c_62184,plain,
! [X0: $i] :
( rearsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62169,c_141,c_45721]) ).
tcf(c_62188,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK56),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62168,c_141,c_45721]) ).
tcf(c_62193,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK57,sK56),X0) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62165,c_141,c_45721]) ).
tcf(c_62197,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62164,c_141,c_45721]) ).
tcf(c_62201,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(light_normalisation,[status(thm)],[c_62155,c_45825]) ).
tcf(c_62202,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62201,c_141,c_45721]) ).
tcf(c_62371,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,sK58),sK57),X0),sK8(cons(sK57,sK58),sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK58),sK57))
| ~ ssList(app(app(nil,sK8(cons(sK57,sK58),sK57)),X0)) ),
inference(superposition,[status(thm)],[c_62070,c_67]) ).
tcf(c_62377,plain,
( frontsegP(sK8(cons(sK57,sK58),sK57),nil)
| ~ ssList(nil)
| ~ ssList(sK8(cons(sK57,sK58),sK57)) ),
inference(superposition,[status(thm)],[c_62070,c_382]) ).
tcf(c_62378,plain,
( rearsegP(sK8(cons(sK57,sK58),sK57),sK8(cons(sK57,sK58),sK57))
| ~ ssList(nil)
| ~ ssList(sK8(cons(sK57,sK58),sK57)) ),
inference(superposition,[status(thm)],[c_62070,c_379]) ).
tcf(c_62380,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK58),sK57))
| ( app(X0,sK8(cons(sK57,sK58),sK57)) != sK8(cons(sK57,sK58),sK57) ) ),
inference(superposition,[status(thm)],[c_62070,c_225]) ).
tcf(c_62384,plain,
! [X0: $i] :
( ( sK8(cons(sK57,sK58),sK57) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK58),sK57))
| ( sK8(cons(sK57,sK58),sK57) != app(nil,X0) ) ),
inference(superposition,[status(thm)],[c_62070,c_226]) ).
tcf(c_62385,plain,
! [X0: $i] :
( frontsegP(sK8(cons(sK57,sK58),sK57),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(cons(sK57,sK58),sK57)) ),
inference(superposition,[status(thm)],[c_62070,c_176]) ).
tcf(c_62387,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(cons(sK57,sK58),sK57),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK58),sK57))
| ~ segmentP(sK8(cons(sK57,sK58),sK57),X0) ),
inference(superposition,[status(thm)],[c_62070,c_193]) ).
tcf(c_62390,plain,
( frontsegP(sK8(cons(sK57,sK58),sK57),nil)
| ~ ssList(sK8(cons(sK57,sK58),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62377,c_141]) ).
tcf(c_62393,plain,
( rearsegP(sK8(cons(sK57,sK58),sK57),sK8(cons(sK57,sK58),sK57))
| ~ ssList(sK8(cons(sK57,sK58),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62378,c_141]) ).
tcf(c_62396,plain,
! [X0: $i] :
( frontsegP(sK8(cons(sK57,sK58),sK57),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(cons(sK57,sK58),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62385,c_141]) ).
tcf(c_62401,plain,
! [X0: $i] :
( ( sK8(cons(sK57,sK58),sK57) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK58),sK57))
| ( sK8(cons(sK57,sK58),sK57) != app(nil,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62384,c_141]) ).
tcf(c_62406,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK58),sK57))
| ( app(X0,sK8(cons(sK57,sK58),sK57)) != sK8(cons(sK57,sK58),sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62380,c_141]) ).
tcf(c_62411,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(cons(sK57,sK58),sK57),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK58),sK57))
| ~ segmentP(sK8(cons(sK57,sK58),sK57),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62387,c_141]) ).
tcf(c_62417,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,sK58),sK57),X0),sK8(cons(sK57,sK58),sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK58),sK57))
| ~ ssList(app(sK8(cons(sK57,sK58),sK57),X0)) ),
inference(light_normalisation,[status(thm)],[c_62371,c_62070]) ).
tcf(c_62418,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,sK58),sK57),X0),sK8(cons(sK57,sK58),sK57))
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK58),sK57))
| ~ ssList(app(sK8(cons(sK57,sK58),sK57),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62417,c_141]) ).
tcf(c_62462,plain,
( ( app(sK12(sK58,sK11(sK58,nil)),sK11(sK58,nil)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ frontsegP(sK58,nil) ),
inference(superposition,[status(thm)],[c_62,c_49344]) ).
tcf(c_62463,plain,
app(sK12(sK58,sK11(sK58,nil)),sK11(sK58,nil)) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_62462,c_8915,c_141,c_13619]) ).
tcf(c_62464,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK11(sK58,nil))
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ~ ssList(sK12(sK58,sK11(sK58,nil)))
| ~ ssList(app(app(sK12(sK58,sK11(sK58,nil)),sK11(sK58,nil)),X0)) ),
inference(superposition,[status(thm)],[c_62463,c_67]) ).
tcf(c_62467,plain,
! [X0: $i] :
( memberP(sK11(sK58,nil),X0)
| memberP(sK12(sK58,sK11(sK58,nil)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK11(sK58,nil))
| ~ ssList(sK12(sK58,sK11(sK58,nil))) ),
inference(superposition,[status(thm)],[c_62463,c_167]) ).
tcf(c_62468,plain,
( ( sK12(sK58,sK11(sK58,nil)) = nil )
| ~ ssList(sK11(sK58,nil))
| ~ ssList(sK12(sK58,sK11(sK58,nil)))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_62463,c_231]) ).
tcf(c_62469,plain,
( ( sK11(sK58,nil) = nil )
| ~ ssList(sK11(sK58,nil))
| ~ ssList(sK12(sK58,sK11(sK58,nil)))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_62463,c_230]) ).
tcf(c_62470,plain,
( frontsegP(sK58,sK12(sK58,sK11(sK58,nil)))
| ~ ssList(sK11(sK58,nil))
| ~ ssList(sK12(sK58,sK11(sK58,nil))) ),
inference(superposition,[status(thm)],[c_62463,c_382]) ).
tcf(c_62473,plain,
! [X0: $i] :
( ( sK12(sK58,sK11(sK58,nil)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ~ ssList(sK12(sK58,sK11(sK58,nil)))
| ( app(X0,sK11(sK58,nil)) != sK58 ) ),
inference(superposition,[status(thm)],[c_62463,c_225]) ).
tcf(c_62474,plain,
! [X0: $i] :
( ( sK11(sK58,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ~ ssList(sK12(sK58,sK11(sK58,nil)))
| ( app(sK12(sK58,sK11(sK58,nil)),X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_62463,c_226]) ).
tcf(c_62475,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK58,nil))
| ~ ssList(sK12(sK58,sK11(sK58,nil)))
| ~ frontsegP(sK12(sK58,sK11(sK58,nil)),X0) ),
inference(superposition,[status(thm)],[c_62463,c_176]) ).
tcf(c_62476,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK58,nil))
| ~ ssList(sK12(sK58,sK11(sK58,nil)))
| ~ memberP(sK12(sK58,sK11(sK58,nil)),X0) ),
inference(superposition,[status(thm)],[c_62463,c_165]) ).
tcf(c_62526,plain,
( ( app(sK12(sK59,sK11(sK59,nil)),sK11(sK59,nil)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ frontsegP(sK59,nil) ),
inference(superposition,[status(thm)],[c_62,c_49359]) ).
tcf(c_62527,plain,
app(sK12(sK59,sK11(sK59,nil)),sK11(sK59,nil)) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_62526,c_8916,c_141,c_13620]) ).
tcf(c_62528,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK11(sK59,nil))
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil)))
| ~ ssList(app(app(sK12(sK59,sK11(sK59,nil)),sK11(sK59,nil)),X0)) ),
inference(superposition,[status(thm)],[c_62527,c_67]) ).
tcf(c_62531,plain,
! [X0: $i] :
( memberP(sK11(sK59,nil),X0)
| memberP(sK12(sK59,sK11(sK59,nil)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil))) ),
inference(superposition,[status(thm)],[c_62527,c_167]) ).
tcf(c_62532,plain,
( ( sK12(sK59,sK11(sK59,nil)) = nil )
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_62527,c_231]) ).
tcf(c_62533,plain,
( ( sK11(sK59,nil) = nil )
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_62527,c_230]) ).
tcf(c_62534,plain,
( frontsegP(sK59,sK12(sK59,sK11(sK59,nil)))
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil))) ),
inference(superposition,[status(thm)],[c_62527,c_382]) ).
tcf(c_62537,plain,
! [X0: $i] :
( ( sK12(sK59,sK11(sK59,nil)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil)))
| ( app(X0,sK11(sK59,nil)) != sK59 ) ),
inference(superposition,[status(thm)],[c_62527,c_225]) ).
tcf(c_62538,plain,
! [X0: $i] :
( ( sK11(sK59,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil)))
| ( app(sK12(sK59,sK11(sK59,nil)),X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_62527,c_226]) ).
tcf(c_62539,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil)))
| ~ frontsegP(sK12(sK59,sK11(sK59,nil)),X0) ),
inference(superposition,[status(thm)],[c_62527,c_176]) ).
tcf(c_62540,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK59,nil))
| ~ ssList(sK12(sK59,sK11(sK59,nil)))
| ~ memberP(sK12(sK59,sK11(sK59,nil)),X0) ),
inference(superposition,[status(thm)],[c_62527,c_165]) ).
tcf(c_62590,plain,
( ( app(sK12(sK56,nil),sK11(sK56,sK12(sK56,nil))) = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ rearsegP(sK56,nil) ),
inference(superposition,[status(thm)],[c_65,c_49960]) ).
tcf(c_62591,plain,
app(sK12(sK56,nil),sK11(sK56,sK12(sK56,nil))) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_62590,c_8907,c_141,c_13487]) ).
tcf(c_62592,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK11(sK56,sK12(sK56,nil)))
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil)))
| ~ ssList(app(app(sK12(sK56,nil),sK11(sK56,sK12(sK56,nil))),X0)) ),
inference(superposition,[status(thm)],[c_62591,c_67]) ).
tcf(c_62595,plain,
! [X0: $i] :
( memberP(sK12(sK56,nil),X0)
| memberP(sK11(sK56,sK12(sK56,nil)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil))) ),
inference(superposition,[status(thm)],[c_62591,c_167]) ).
tcf(c_62596,plain,
( ( sK12(sK56,nil) = nil )
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_62591,c_231]) ).
tcf(c_62597,plain,
( ( sK11(sK56,sK12(sK56,nil)) = nil )
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil)))
| ( nil != sK56 ) ),
inference(superposition,[status(thm)],[c_62591,c_230]) ).
tcf(c_62599,plain,
( rearsegP(sK56,sK11(sK56,sK12(sK56,nil)))
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil))) ),
inference(superposition,[status(thm)],[c_62591,c_379]) ).
tcf(c_62601,plain,
! [X0: $i] :
( ( sK12(sK56,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil)))
| ( app(X0,sK11(sK56,sK12(sK56,nil))) != sK56 ) ),
inference(superposition,[status(thm)],[c_62591,c_225]) ).
tcf(c_62602,plain,
! [X0: $i] :
( ( sK11(sK56,sK12(sK56,nil)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil)))
| ( app(sK12(sK56,nil),X0) != sK56 ) ),
inference(superposition,[status(thm)],[c_62591,c_226]) ).
tcf(c_62605,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil)))
| ~ segmentP(sK11(sK56,sK12(sK56,nil)),X0) ),
inference(superposition,[status(thm)],[c_62591,c_193]) ).
tcf(c_62606,plain,
! [X0: $i] :
( rearsegP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil)))
| ~ rearsegP(sK11(sK56,sK12(sK56,nil)),X0) ),
inference(superposition,[status(thm)],[c_62591,c_186]) ).
tcf(c_62607,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK56,nil))
| ~ ssList(sK11(sK56,sK12(sK56,nil)))
| ~ memberP(sK11(sK56,sK12(sK56,nil)),X0) ),
inference(superposition,[status(thm)],[c_62591,c_166]) ).
tcf(c_62651,plain,
! [X0: $i] :
( segmentP(app(sK56,X0),sK11(sK56,sK12(sK56,nil)))
| ~ ssList(X0)
| ~ ssList(sK12(sK56,nil))
| ~ ssList(app(sK56,X0))
| ~ ssList(sK11(sK56,sK12(sK56,nil))) ),
inference(light_normalisation,[status(thm)],[c_62592,c_62591]) ).
tcf(c_62667,plain,
( ( app(sK12(sK58,nil),sK11(sK58,sK12(sK58,nil))) = sK58 )
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ rearsegP(sK58,nil) ),
inference(superposition,[status(thm)],[c_65,c_49975]) ).
tcf(c_62668,plain,
app(sK12(sK58,nil),sK11(sK58,sK12(sK58,nil))) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_62667,c_8915,c_141,c_13488]) ).
tcf(c_62670,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56))
| ~ rearsegP(nil,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_62176,c_184]) ).
tcf(c_62671,plain,
( ( app(sK12(cons(sK57,sK56),nil),nil) = cons(sK57,sK56) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_62176,c_66]) ).
tcf(c_62672,plain,
app(sK12(cons(sK57,sK56),nil),nil) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_62671,c_141,c_45721]) ).
tcf(c_62673,plain,
~ rearsegP(nil,cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_62670,c_45728,c_141,c_45721]) ).
tcf(c_62708,plain,
( ( app(cons(sK57,sK56),sK11(cons(sK57,sK56),cons(sK57,sK56))) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_62183,c_63]) ).
tcf(c_62711,plain,
app(cons(sK57,sK56),sK11(cons(sK57,sK56),cons(sK57,sK56))) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_62708,c_45721]) ).
tcf(c_62712,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK57,sK56),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK57,sK56)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_45826,c_122]) ).
tcf(c_62713,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK57,sK56),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK57,sK56)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_45826,c_114]) ).
tcf(c_62714,plain,
! [X0: $i] :
( ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK56),cons(sK57,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK57,sK56)),cons(sK57,X0))) ),
inference(superposition,[status(thm)],[c_45826,c_130]) ).
tcf(c_62718,plain,
( memberP(cons(sK57,sK56),sK57)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,sK56))) ),
inference(superposition,[status(thm)],[c_45826,c_54]) ).
tcf(c_62719,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),cons(sK57,sK56))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(app(nil,cons(sK57,sK56)),X0)) ),
inference(superposition,[status(thm)],[c_45826,c_67]) ).
tcf(c_62725,plain,
( frontsegP(cons(sK57,sK56),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45826,c_382]) ).
tcf(c_62726,plain,
( rearsegP(cons(sK57,sK56),cons(sK57,sK56))
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45826,c_379]) ).
tcf(c_62728,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( app(X0,cons(sK57,sK56)) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45826,c_225]) ).
tcf(c_62732,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ( app(nil,X0) != cons(sK57,sK56) ) ),
inference(superposition,[status(thm)],[c_45826,c_226]) ).
tcf(c_62733,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_45826,c_176]) ).
tcf(c_62735,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK56),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ segmentP(cons(sK57,sK56),X0) ),
inference(superposition,[status(thm)],[c_45826,c_193]) ).
tcf(c_62738,plain,
frontsegP(cons(sK57,sK56),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_62725,c_141,c_45721]) ).
tcf(c_62739,plain,
rearsegP(cons(sK57,sK56),cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_62726,c_141,c_45721]) ).
tcf(c_62740,plain,
! [X0: $i] :
( frontsegP(cons(sK57,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62733,c_141,c_45721]) ).
tcf(c_62744,plain,
( memberP(cons(sK57,sK56),sK57)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK56)) ),
inference(light_normalisation,[status(thm)],[c_62718,c_45826]) ).
tcf(c_62745,plain,
memberP(cons(sK57,sK56),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_62744,c_8907,c_141,c_8914,c_45721]) ).
tcf(c_62746,plain,
! [X0: $i] :
( ( cons(sK57,sK56) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62732,c_141,c_45721]) ).
tcf(c_62750,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK57,sK56)) != cons(sK57,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62728,c_141,c_45721]) ).
tcf(c_62754,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,sK56),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(cons(sK57,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62735,c_141,c_45721]) ).
tcf(c_62759,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),cons(sK57,sK56))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK56))
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(light_normalisation,[status(thm)],[c_62719,c_45826]) ).
tcf(c_62760,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,sK56),X0),cons(sK57,sK56))
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62759,c_141,c_45721]) ).
tcf(c_62782,plain,
! [X0: $i] :
( ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK57,sK56),cons(sK57,X0)))
| ~ ssList(app(cons(sK57,sK56),cons(sK57,X0))) ),
inference(light_normalisation,[status(thm)],[c_62714,c_45826]) ).
tcf(c_62783,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK57,sK56),cons(sK57,X0)))
| ~ ssList(app(cons(sK57,sK56),cons(sK57,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62782,c_8907,c_141,c_8914]) ).
tcf(c_62787,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK57,sK56),cons(X0,X1)))
| ~ ssList(app(cons(sK57,sK56),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_62713,c_45826]) ).
tcf(c_62788,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK57,sK56),cons(X0,X1)))
| ~ ssList(app(cons(sK57,sK56),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62787,c_8907,c_141,c_8914]) ).
tcf(c_62794,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK57,sK56),cons(X0,X1)))
| ~ ssList(app(cons(sK57,sK56),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_62712,c_45826]) ).
tcf(c_62795,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK57,sK56),cons(X0,X1)))
| ~ ssList(app(cons(sK57,sK56),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62794,c_8907,c_141,c_8914]) ).
tcf(c_62809,plain,
( ( app(app(sK13(cons(sK57,sK56),sK56),sK56),sK14(cons(sK57,sK56),sK56)) = cons(sK57,sK56) )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_62182,c_70]) ).
tcf(c_62810,plain,
! [X0: $i] :
( segmentP(cons(sK57,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_62182,c_190]) ).
tcf(c_62811,plain,
( ( cons(sK57,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK57,sK56))
| ~ segmentP(sK56,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_62182,c_191]) ).
tcf(c_62812,plain,
~ segmentP(sK56,cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_62811,c_45724,c_8907,c_45721]) ).
tcf(c_62814,plain,
app(app(sK13(cons(sK57,sK56),sK56),sK56),sK14(cons(sK57,sK56),sK56)) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_62809,c_8907,c_45721]) ).
tcf(c_62816,plain,
( ( cons(sK57,sK56) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56))
| ~ frontsegP(nil,cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_62738,c_174]) ).
tcf(c_62817,plain,
( ( app(nil,sK11(cons(sK57,sK56),nil)) = cons(sK57,sK56) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_62738,c_63]) ).
tcf(c_62818,plain,
app(nil,sK11(cons(sK57,sK56),nil)) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_62817,c_141,c_45721]) ).
tcf(c_62819,plain,
~ frontsegP(nil,cons(sK57,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_62816,c_45728,c_141,c_45721]) ).
tcf(c_62820,plain,
( ( app(sK8(cons(sK57,sK56),sK57),cons(sK57,sK9(cons(sK57,sK56),sK57))) = cons(sK57,sK56) )
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_62745,c_57]) ).
tcf(c_62821,plain,
( ( app(nil,sK8(cons(sK57,sK56),sK57)) = sK8(cons(sK57,sK56),sK57) )
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_62745,c_12510]) ).
tcf(c_62824,plain,
app(nil,sK8(cons(sK57,sK56),sK57)) = sK8(cons(sK57,sK56),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_62821,c_8914,c_45721]) ).
tcf(c_62825,plain,
app(sK8(cons(sK57,sK56),sK57),cons(sK57,sK9(cons(sK57,sK56),sK57))) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_62820,c_8914,c_45721]) ).
tcf(c_62826,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK11(sK58,sK12(sK58,nil)))
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ ssList(sK11(sK58,sK12(sK58,nil)))
| ~ ssList(app(app(sK12(sK58,nil),sK11(sK58,sK12(sK58,nil))),X0)) ),
inference(superposition,[status(thm)],[c_62668,c_67]) ).
tcf(c_62829,plain,
! [X0: $i] :
( memberP(sK12(sK58,nil),X0)
| memberP(sK11(sK58,sK12(sK58,nil)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK12(sK58,nil))
| ~ ssList(sK11(sK58,sK12(sK58,nil))) ),
inference(superposition,[status(thm)],[c_62668,c_167]) ).
tcf(c_62830,plain,
( ( sK12(sK58,nil) = nil )
| ~ ssList(sK12(sK58,nil))
| ~ ssList(sK11(sK58,sK12(sK58,nil)))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_62668,c_231]) ).
tcf(c_62831,plain,
( ( sK11(sK58,sK12(sK58,nil)) = nil )
| ~ ssList(sK12(sK58,nil))
| ~ ssList(sK11(sK58,sK12(sK58,nil)))
| ( nil != sK58 ) ),
inference(superposition,[status(thm)],[c_62668,c_230]) ).
tcf(c_62833,plain,
( rearsegP(sK58,sK11(sK58,sK12(sK58,nil)))
| ~ ssList(sK12(sK58,nil))
| ~ ssList(sK11(sK58,sK12(sK58,nil))) ),
inference(superposition,[status(thm)],[c_62668,c_379]) ).
tcf(c_62835,plain,
! [X0: $i] :
( ( sK12(sK58,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ ssList(sK11(sK58,sK12(sK58,nil)))
| ( app(X0,sK11(sK58,sK12(sK58,nil))) != sK58 ) ),
inference(superposition,[status(thm)],[c_62668,c_225]) ).
tcf(c_62836,plain,
! [X0: $i] :
( ( sK11(sK58,sK12(sK58,nil)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ ssList(sK11(sK58,sK12(sK58,nil)))
| ( app(sK12(sK58,nil),X0) != sK58 ) ),
inference(superposition,[status(thm)],[c_62668,c_226]) ).
tcf(c_62839,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ ssList(sK11(sK58,sK12(sK58,nil)))
| ~ segmentP(sK11(sK58,sK12(sK58,nil)),X0) ),
inference(superposition,[status(thm)],[c_62668,c_193]) ).
tcf(c_62840,plain,
! [X0: $i] :
( rearsegP(sK58,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ ssList(sK11(sK58,sK12(sK58,nil)))
| ~ rearsegP(sK11(sK58,sK12(sK58,nil)),X0) ),
inference(superposition,[status(thm)],[c_62668,c_186]) ).
tcf(c_62841,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK58,nil))
| ~ ssList(sK11(sK58,sK12(sK58,nil)))
| ~ memberP(sK11(sK58,sK12(sK58,nil)),X0) ),
inference(superposition,[status(thm)],[c_62668,c_166]) ).
tcf(c_62885,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK11(sK58,sK12(sK58,nil)))
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ ssList(app(sK58,X0))
| ~ ssList(sK11(sK58,sK12(sK58,nil))) ),
inference(light_normalisation,[status(thm)],[c_62826,c_62668]) ).
tcf(c_62910,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,sK56),sK57),X0),sK8(cons(sK57,sK56),sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK56),sK57))
| ~ ssList(app(app(nil,sK8(cons(sK57,sK56),sK57)),X0)) ),
inference(superposition,[status(thm)],[c_62824,c_67]) ).
tcf(c_62916,plain,
( frontsegP(sK8(cons(sK57,sK56),sK57),nil)
| ~ ssList(nil)
| ~ ssList(sK8(cons(sK57,sK56),sK57)) ),
inference(superposition,[status(thm)],[c_62824,c_382]) ).
tcf(c_62917,plain,
( rearsegP(sK8(cons(sK57,sK56),sK57),sK8(cons(sK57,sK56),sK57))
| ~ ssList(nil)
| ~ ssList(sK8(cons(sK57,sK56),sK57)) ),
inference(superposition,[status(thm)],[c_62824,c_379]) ).
tcf(c_62919,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK56),sK57))
| ( app(X0,sK8(cons(sK57,sK56),sK57)) != sK8(cons(sK57,sK56),sK57) ) ),
inference(superposition,[status(thm)],[c_62824,c_225]) ).
tcf(c_62923,plain,
! [X0: $i] :
( ( sK8(cons(sK57,sK56),sK57) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK56),sK57))
| ( sK8(cons(sK57,sK56),sK57) != app(nil,X0) ) ),
inference(superposition,[status(thm)],[c_62824,c_226]) ).
tcf(c_62924,plain,
! [X0: $i] :
( frontsegP(sK8(cons(sK57,sK56),sK57),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(cons(sK57,sK56),sK57)) ),
inference(superposition,[status(thm)],[c_62824,c_176]) ).
tcf(c_62926,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(cons(sK57,sK56),sK57),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK56),sK57))
| ~ segmentP(sK8(cons(sK57,sK56),sK57),X0) ),
inference(superposition,[status(thm)],[c_62824,c_193]) ).
tcf(c_62929,plain,
( frontsegP(sK8(cons(sK57,sK56),sK57),nil)
| ~ ssList(sK8(cons(sK57,sK56),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62916,c_141]) ).
tcf(c_62932,plain,
( rearsegP(sK8(cons(sK57,sK56),sK57),sK8(cons(sK57,sK56),sK57))
| ~ ssList(sK8(cons(sK57,sK56),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62917,c_141]) ).
tcf(c_62935,plain,
! [X0: $i] :
( frontsegP(sK8(cons(sK57,sK56),sK57),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(cons(sK57,sK56),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62924,c_141]) ).
tcf(c_62940,plain,
! [X0: $i] :
( ( sK8(cons(sK57,sK56),sK57) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK56),sK57))
| ( sK8(cons(sK57,sK56),sK57) != app(nil,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62923,c_141]) ).
tcf(c_62945,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK56),sK57))
| ( app(X0,sK8(cons(sK57,sK56),sK57)) != sK8(cons(sK57,sK56),sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62919,c_141]) ).
tcf(c_62950,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(cons(sK57,sK56),sK57),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK56),sK57))
| ~ segmentP(sK8(cons(sK57,sK56),sK57),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62926,c_141]) ).
tcf(c_62956,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,sK56),sK57),X0),sK8(cons(sK57,sK56),sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK56),sK57))
| ~ ssList(app(sK8(cons(sK57,sK56),sK57),X0)) ),
inference(light_normalisation,[status(thm)],[c_62910,c_62824]) ).
tcf(c_62957,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,sK56),sK57),X0),sK8(cons(sK57,sK56),sK57))
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,sK56),sK57))
| ~ ssList(app(sK8(cons(sK57,sK56),sK57),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62956,c_141]) ).
tcf(c_63064,plain,
( ( app(sK12(sK59,nil),sK11(sK59,sK12(sK59,nil))) = sK59 )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ rearsegP(sK59,nil) ),
inference(superposition,[status(thm)],[c_65,c_49987]) ).
tcf(c_63065,plain,
app(sK12(sK59,nil),sK11(sK59,sK12(sK59,nil))) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_63064,c_8916,c_141,c_13489]) ).
tcf(c_63066,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK11(sK59,sK12(sK59,nil)))
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil)))
| ~ ssList(app(app(sK12(sK59,nil),sK11(sK59,sK12(sK59,nil))),X0)) ),
inference(superposition,[status(thm)],[c_63065,c_67]) ).
tcf(c_63069,plain,
! [X0: $i] :
( memberP(sK12(sK59,nil),X0)
| memberP(sK11(sK59,sK12(sK59,nil)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil))) ),
inference(superposition,[status(thm)],[c_63065,c_167]) ).
tcf(c_63070,plain,
( ( sK12(sK59,nil) = nil )
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_63065,c_231]) ).
tcf(c_63071,plain,
( ( sK11(sK59,sK12(sK59,nil)) = nil )
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil)))
| ( nil != sK59 ) ),
inference(superposition,[status(thm)],[c_63065,c_230]) ).
tcf(c_63073,plain,
( rearsegP(sK59,sK11(sK59,sK12(sK59,nil)))
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil))) ),
inference(superposition,[status(thm)],[c_63065,c_379]) ).
tcf(c_63075,plain,
! [X0: $i] :
( ( sK12(sK59,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil)))
| ( app(X0,sK11(sK59,sK12(sK59,nil))) != sK59 ) ),
inference(superposition,[status(thm)],[c_63065,c_225]) ).
tcf(c_63076,plain,
! [X0: $i] :
( ( sK11(sK59,sK12(sK59,nil)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil)))
| ( app(sK12(sK59,nil),X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_63065,c_226]) ).
tcf(c_63079,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil)))
| ~ segmentP(sK11(sK59,sK12(sK59,nil)),X0) ),
inference(superposition,[status(thm)],[c_63065,c_193]) ).
tcf(c_63080,plain,
! [X0: $i] :
( rearsegP(sK59,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil)))
| ~ rearsegP(sK11(sK59,sK12(sK59,nil)),X0) ),
inference(superposition,[status(thm)],[c_63065,c_186]) ).
tcf(c_63081,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ~ ssItem(X0)
| ~ ssList(sK12(sK59,nil))
| ~ ssList(sK11(sK59,sK12(sK59,nil)))
| ~ memberP(sK11(sK59,sK12(sK59,nil)),X0) ),
inference(superposition,[status(thm)],[c_63065,c_166]) ).
tcf(c_63125,plain,
! [X0: $i] :
( segmentP(app(sK59,X0),sK11(sK59,sK12(sK59,nil)))
| ~ ssList(X0)
| ~ ssList(sK12(sK59,nil))
| ~ ssList(app(sK59,X0))
| ~ ssList(sK11(sK59,sK12(sK59,nil))) ),
inference(light_normalisation,[status(thm)],[c_63066,c_63065]) ).
tcf(c_63163,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,iPr_def_10),X0),cons(X0,sK9(cons(sK57,iPr_def_10),X0))) = cons(sK57,iPr_def_10) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_59667,c_57]) ).
tcf(c_63164,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,iPr_def_10),X0)) = sK8(cons(sK57,iPr_def_10),X0) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_59667,c_12510]) ).
tcf(c_63165,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ( X0 = sK57 )
| ~ ssList(iPr_def_10)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_59667,c_170]) ).
tcf(c_63166,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63165,c_18245,c_8914]) ).
tcf(c_63172,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK57,iPr_def_10),X0)) = sK8(cons(sK57,iPr_def_10),X0) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63164,c_59801]) ).
tcf(c_63177,plain,
! [X0: $i] :
( ( app(sK8(cons(sK57,iPr_def_10),X0),cons(X0,sK9(cons(sK57,iPr_def_10),X0))) = cons(sK57,iPr_def_10) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63163,c_59801]) ).
tcf(c_63193,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,iPr_def_10),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_59672,c_183]) ).
tcf(c_63194,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(cons(sK57,iPr_def_10))
| ~ rearsegP(X0,cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_59672,c_184]) ).
tcf(c_63195,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,iPr_def_10),X0),X0) = cons(sK57,iPr_def_10) )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_59672,c_66]) ).
tcf(c_63196,plain,
! [X0: $i] :
( ( app(sK12(cons(sK57,iPr_def_10),X0),X0) = cons(sK57,iPr_def_10) )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63195,c_59801]) ).
tcf(c_63201,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ rearsegP(X0,cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63194,c_59801]) ).
tcf(c_63207,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK57,iPr_def_10),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63193,c_59801]) ).
tcf(c_63219,plain,
( ( app(sK12(cons(sK57,sK56),cons(sK57,sK56)),cons(sK57,sK56)) = cons(sK57,sK56) )
| ~ ssList(cons(sK57,sK56)) ),
inference(superposition,[status(thm)],[c_62739,c_66]) ).
tcf(c_63220,plain,
app(sK12(cons(sK57,sK56),cons(sK57,sK56)),cons(sK57,sK56)) = cons(sK57,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_63219,c_45721]) ).
tcf(c_63239,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),X0) ),
inference(superposition,[status(thm)],[c_49356,c_183]) ).
tcf(c_63240,plain,
( ( sK11(sK59,nil) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),iPr_def_10) ),
inference(superposition,[status(thm)],[c_49356,c_184]) ).
tcf(c_63241,plain,
( ( app(sK12(iPr_def_10,sK11(sK59,nil)),sK11(sK59,nil)) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK11(sK59,nil)) ),
inference(superposition,[status(thm)],[c_49356,c_66]) ).
tcf(c_63242,plain,
( ( app(sK12(iPr_def_10,sK11(sK59,nil)),sK11(sK59,nil)) = iPr_def_10 )
| ~ ssList(sK11(sK59,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63241,c_18245]) ).
tcf(c_63245,plain,
( ( sK11(sK59,nil) = iPr_def_10 )
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63240,c_18245]) ).
tcf(c_63249,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK11(sK59,nil))
| ~ rearsegP(sK11(sK59,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63239,c_18245]) ).
tcf(c_63258,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ frontsegP(sK12(sK58,nil),X0) ),
inference(superposition,[status(thm)],[c_49972,c_173]) ).
tcf(c_63259,plain,
( ( sK12(sK58,nil) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK12(sK58,nil))
| ~ frontsegP(sK12(sK58,nil),iPr_def_12) ),
inference(superposition,[status(thm)],[c_49972,c_174]) ).
tcf(c_63260,plain,
( ( app(sK12(sK58,nil),sK11(iPr_def_12,sK12(sK58,nil))) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK12(sK58,nil)) ),
inference(superposition,[status(thm)],[c_49972,c_63]) ).
tcf(c_63262,plain,
( ( app(sK12(sK58,nil),sK11(iPr_def_12,sK12(sK58,nil))) = iPr_def_12 )
| ~ ssList(sK12(sK58,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63260,c_12842]) ).
tcf(c_63265,plain,
( ( sK12(sK58,nil) = iPr_def_12 )
| ~ ssList(sK12(sK58,nil))
| ~ frontsegP(sK12(sK58,nil),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63259,c_12842]) ).
tcf(c_63269,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ frontsegP(sK12(sK58,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63258,c_12842]) ).
tcf(c_63306,plain,
( ( app(sK12(cons(sK57,iPr_def_10),sK59),sK59) = cons(sK57,iPr_def_10) )
| ~ ssList(iPr_def_12)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_140,c_60036]) ).
tcf(c_63307,plain,
app(sK12(cons(sK57,iPr_def_10),sK59),sK59) = cons(sK57,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_63306,c_12842,c_8914]) ).
tcf(c_63308,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ~ ssList(app(app(sK12(cons(sK57,iPr_def_10),sK59),sK59),X0)) ),
inference(superposition,[status(thm)],[c_63307,c_67]) ).
tcf(c_63311,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK12(cons(sK57,iPr_def_10),sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,iPr_def_10),X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59)) ),
inference(superposition,[status(thm)],[c_63307,c_167]) ).
tcf(c_63312,plain,
( ( sK12(cons(sK57,iPr_def_10),sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ( cons(sK57,iPr_def_10) != nil ) ),
inference(superposition,[status(thm)],[c_63307,c_231]) ).
tcf(c_63313,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ( cons(sK57,iPr_def_10) != nil ) ),
inference(superposition,[status(thm)],[c_63307,c_230]) ).
tcf(c_63314,plain,
( frontsegP(cons(sK57,iPr_def_10),sK12(cons(sK57,iPr_def_10),sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59)) ),
inference(superposition,[status(thm)],[c_63307,c_382]) ).
tcf(c_63315,plain,
( rearsegP(cons(sK57,iPr_def_10),sK59)
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59)) ),
inference(superposition,[status(thm)],[c_63307,c_379]) ).
tcf(c_63317,plain,
! [X0: $i] :
( ( sK12(cons(sK57,iPr_def_10),sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ( app(X0,sK59) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_63307,c_225]) ).
tcf(c_63318,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ( app(sK12(cons(sK57,iPr_def_10),sK59),X0) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_63307,c_226]) ).
tcf(c_63319,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ~ frontsegP(sK12(cons(sK57,iPr_def_10),sK59),X0) ),
inference(superposition,[status(thm)],[c_63307,c_176]) ).
tcf(c_63320,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_10),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ~ memberP(sK12(cons(sK57,iPr_def_10),sK59),X0) ),
inference(superposition,[status(thm)],[c_63307,c_165]) ).
tcf(c_63321,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59)) ),
inference(superposition,[status(thm)],[c_63307,c_193]) ).
tcf(c_63322,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59)) ),
inference(superposition,[status(thm)],[c_63307,c_186]) ).
tcf(c_63323,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_10),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59)) ),
inference(superposition,[status(thm)],[c_63307,c_166]) ).
tcf(c_63324,plain,
( ( sK12(cons(sK57,iPr_def_10),sK59) = iPr_def_11 )
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ( cons(sK57,sK59) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_63307,c_38527]) ).
tcf(c_63325,plain,
( ( sK12(cons(sK57,iPr_def_10),sK59) = iPr_def_12 )
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ( cons(sK57,iPr_def_10) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_63307,c_25223]) ).
tcf(c_63326,plain,
( ( sK12(cons(sK57,iPr_def_10),sK59) = nil )
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ( cons(sK57,iPr_def_10) != sK59 ) ),
inference(superposition,[status(thm)],[c_63307,c_25211]) ).
tcf(c_63327,plain,
( rearsegP(cons(sK57,iPr_def_10),sK59)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63315,c_8916]) ).
tcf(c_63330,plain,
( frontsegP(cons(sK57,iPr_def_10),sK12(cons(sK57,iPr_def_10),sK59))
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63314,c_8916]) ).
tcf(c_63333,plain,
( ( nil = sK59 )
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ( cons(sK57,iPr_def_10) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63313,c_8916]) ).
tcf(c_63343,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_10),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63323,c_8916]) ).
tcf(c_63348,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63322,c_8916]) ).
tcf(c_63356,plain,
( ( sK12(cons(sK57,iPr_def_10),sK59) = nil )
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ( cons(sK57,iPr_def_10) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63312,c_8916]) ).
tcf(c_63360,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_10),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ~ memberP(sK12(cons(sK57,iPr_def_10),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63320,c_8916]) ).
tcf(c_63365,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ~ frontsegP(sK12(cons(sK57,iPr_def_10),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63319,c_8916]) ).
tcf(c_63370,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63321,c_8916]) ).
tcf(c_63376,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK12(cons(sK57,iPr_def_10),sK59),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,iPr_def_10),X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63311,c_8916]) ).
tcf(c_63382,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ( app(sK12(cons(sK57,iPr_def_10),sK59),X0) != cons(sK57,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63318,c_8916]) ).
tcf(c_63387,plain,
! [X0: $i] :
( ( sK12(cons(sK57,iPr_def_10),sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ( app(X0,sK59) != cons(sK57,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63317,c_8916]) ).
tcf(c_63392,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ~ ssList(app(cons(sK57,iPr_def_10),X0)) ),
inference(light_normalisation,[status(thm)],[c_63308,c_63307]) ).
tcf(c_63393,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X0),sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ~ ssList(app(cons(sK57,iPr_def_10),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63392,c_8916]) ).
tcf(c_63473,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ~ frontsegP(sK12(cons(sK57,iPr_def_10),sK59),X0) ),
inference(superposition,[status(thm)],[c_63330,c_173]) ).
tcf(c_63474,plain,
( ( sK12(cons(sK57,iPr_def_10),sK59) = cons(sK57,iPr_def_10) )
| ~ ssList(cons(sK57,iPr_def_10))
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ~ frontsegP(sK12(cons(sK57,iPr_def_10),sK59),cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_63330,c_174]) ).
tcf(c_63475,plain,
( ( app(sK12(cons(sK57,iPr_def_10),sK59),sK11(cons(sK57,iPr_def_10),sK12(cons(sK57,iPr_def_10),sK59))) = cons(sK57,iPr_def_10) )
| ~ ssList(cons(sK57,iPr_def_10))
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59)) ),
inference(superposition,[status(thm)],[c_63330,c_63]) ).
tcf(c_63477,plain,
( ( app(sK12(cons(sK57,iPr_def_10),sK59),sK11(cons(sK57,iPr_def_10),sK12(cons(sK57,iPr_def_10),sK59))) = cons(sK57,iPr_def_10) )
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63475,c_59801]) ).
tcf(c_63480,plain,
( ( sK12(cons(sK57,iPr_def_10),sK59) = cons(sK57,iPr_def_10) )
| ~ ssList(sK12(cons(sK57,iPr_def_10),sK59))
| ~ frontsegP(sK12(cons(sK57,iPr_def_10),sK59),cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63474,c_59801]) ).
tcf(c_63496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK8(X0,X1),X2),sK59) = app(sK8(X0,X1),app(X2,sK59)) )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_22629]) ).
tcf(c_63497,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK9(X0,X1),X2),sK59) = app(sK9(X0,X1),app(X2,sK59)) )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_22629]) ).
tcf(c_63498,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(app(X0,X1),X2),sK59) = app(app(X0,X1),app(X2,sK59)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_22629]) ).
tcf(c_63499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK11(X0,X1),X2),sK59) = app(sK11(X0,X1),app(X2,sK59)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_22629]) ).
tcf(c_63500,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK12(X0,X1),X2),sK59) = app(sK12(X0,X1),app(X2,sK59)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_22629]) ).
tcf(c_63501,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK13(X0,X1),X2),sK59) = app(sK13(X0,X1),app(X2,sK59)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_22629]) ).
tcf(c_63502,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK14(X0,X1),X2),sK59) = app(sK14(X0,X1),app(X2,sK59)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_22629]) ).
tcf(c_63512,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(app(sK34(X0),X1),sK59) = app(sK34(X0),app(X1,sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_22629]) ).
tcf(c_63513,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(app(sK33(X0),X1),sK59) = app(sK33(X0),app(X1,sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_22629]) ).
tcf(c_63514,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(app(sK32(X0),X1),sK59) = app(sK32(X0),app(X1,sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_22629]) ).
tcf(c_63515,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(app(sK39(X0),X1),sK59) = app(sK39(X0),app(X1,sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_22629]) ).
tcf(c_63516,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(app(sK38(X0),X1),sK59) = app(sK38(X0),app(X1,sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_22629]) ).
tcf(c_63517,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(app(sK37(X0),X1),sK59) = app(sK37(X0),app(X1,sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_22629]) ).
tcf(c_63518,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(app(sK44(X0),X1),sK59) = app(sK44(X0),app(X1,sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_22629]) ).
tcf(c_63519,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(app(sK43(X0),X1),sK59) = app(sK43(X0),app(X1,sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_22629]) ).
tcf(c_63520,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(app(sK42(X0),X1),sK59) = app(sK42(X0),app(X1,sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_22629]) ).
tcf(c_63521,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( app(app(sK48(X0),X1),sK59) = app(sK48(X0),app(X1,sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_22629]) ).
tcf(c_63522,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( app(app(sK47(X0),X1),sK59) = app(sK47(X0),app(X1,sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_22629]) ).
tcf(c_63523,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(cons(X0,X1),X2),sK59) = app(cons(X0,X1),app(X2,sK59)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_22629]) ).
tcf(c_63524,plain,
! [X0: $i] :
( ( app(app(nil,X0),sK59) = app(nil,app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_141,c_22629]) ).
tcf(c_63525,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(app(sK49(X0),X1),sK59) = app(sK49(X0),app(X1,sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_22629]) ).
tcf(c_63526,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(app(tl(X0),X1),sK59) = app(tl(X0),app(X1,sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_22629]) ).
tcf(c_63527,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(app(sK52(X0),X1),sK59) = app(sK52(X0),app(X1,sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_22629]) ).
tcf(c_63528,plain,
! [X0: $i] :
( ( app(app(sK59,X0),sK59) = app(sK59,app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8916,c_22629]) ).
tcf(c_63529,plain,
! [X0: $i] :
( ( app(app(sK58,X0),sK59) = app(sK58,app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8915,c_22629]) ).
tcf(c_63530,plain,
! [X0: $i] :
( ( app(app(sK56,X0),sK59) = app(sK56,app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8907,c_22629]) ).
tcf(c_63531,plain,
! [X0: $i] :
( ( app(app(iPr_def_12,X0),sK59) = app(iPr_def_12,app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12842,c_22629]) ).
tcf(c_63532,plain,
! [X0: $i] :
( ( app(app(iPr_def_11,X0),sK59) = app(iPr_def_11,app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12706,c_22629]) ).
tcf(c_63533,plain,
! [X0: $i] :
( ( app(app(iPr_def_10,X0),sK59) = app(iPr_def_10,app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18245,c_22629]) ).
tcf(c_63534,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK59),X0),sK59) = app(cons(sK57,sK59),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_38491,c_22629]) ).
tcf(c_63535,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK58),X0),sK59) = app(cons(sK57,sK58),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_42438,c_22629]) ).
tcf(c_63536,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK56),X0),sK59) = app(cons(sK57,sK56),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45721,c_22629]) ).
tcf(c_63537,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(app(tl(sK59),X0),sK59) = app(tl(sK59),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15329,c_22629]) ).
tcf(c_63538,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( app(app(tl(sK58),X0),sK59) = app(tl(sK58),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15365,c_22629]) ).
tcf(c_63539,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(app(tl(sK56),X0),sK59) = app(tl(sK56),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15756,c_22629]) ).
tcf(c_63540,plain,
! [X0: $i] :
( ( app(app(tl(iPr_def_12),X0),sK59) = app(tl(iPr_def_12),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_19014,c_22629]) ).
tcf(c_63541,plain,
! [X0: $i] :
( ( app(app(cons(sK57,iPr_def_10),X0),sK59) = app(cons(sK57,iPr_def_10),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_59801,c_22629]) ).
tcf(c_63542,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK59,sK59)),X0),sK59) = app(cons(sK57,app(sK59,sK59)),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_38541,c_22629]) ).
tcf(c_63543,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK58,sK59)),X0),sK59) = app(cons(sK57,app(sK58,sK59)),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_42487,c_22629]) ).
tcf(c_63544,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK56,sK59)),X0),sK59) = app(cons(sK57,app(sK56,sK59)),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45773,c_22629]) ).
tcf(c_63545,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK59,sK58)),X0),sK59) = app(cons(sK57,app(sK59,sK58)),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_41763,c_22629]) ).
tcf(c_63546,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK58,sK58)),X0),sK59) = app(cons(sK57,app(sK58,sK58)),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_43212,c_22629]) ).
tcf(c_63547,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK56,sK58)),X0),sK59) = app(cons(sK57,app(sK56,sK58)),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45770,c_22629]) ).
tcf(c_63548,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK59,sK56)),X0),sK59) = app(cons(sK57,app(sK59,sK56)),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45369,c_22629]) ).
tcf(c_63549,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK58,sK56)),X0),sK59) = app(cons(sK57,app(sK58,sK56)),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_46410,c_22629]) ).
tcf(c_63550,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK56,sK56)),X0),sK59) = app(cons(sK57,app(sK56,sK56)),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_46972,c_22629]) ).
tcf(c_64151,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK8(X0,X1)),sK59) = app(sK59,app(sK8(X0,X1),sK59)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_63528]) ).
tcf(c_64152,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK9(X0,X1)),sK59) = app(sK59,app(sK9(X0,X1),sK59)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_63528]) ).
tcf(c_64153,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,app(X0,X1)),sK59) = app(sK59,app(app(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_63528]) ).
tcf(c_64154,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK11(X0,X1)),sK59) = app(sK59,app(sK11(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_63528]) ).
tcf(c_64155,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK12(X0,X1)),sK59) = app(sK59,app(sK12(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_63528]) ).
tcf(c_64156,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK13(X0,X1)),sK59) = app(sK59,app(sK13(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_63528]) ).
tcf(c_64157,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK14(X0,X1)),sK59) = app(sK59,app(sK14(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_63528]) ).
tcf(c_64167,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK59,sK34(X0)),sK59) = app(sK59,app(sK34(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_63528]) ).
tcf(c_64168,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK59,sK33(X0)),sK59) = app(sK59,app(sK33(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_63528]) ).
tcf(c_64169,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK59,sK32(X0)),sK59) = app(sK59,app(sK32(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_63528]) ).
tcf(c_64170,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK59,sK39(X0)),sK59) = app(sK59,app(sK39(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_63528]) ).
tcf(c_64171,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK59,sK38(X0)),sK59) = app(sK59,app(sK38(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_63528]) ).
tcf(c_64172,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK59,sK37(X0)),sK59) = app(sK59,app(sK37(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_63528]) ).
tcf(c_64173,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK59,sK44(X0)),sK59) = app(sK59,app(sK44(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_63528]) ).
tcf(c_64174,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK59,sK43(X0)),sK59) = app(sK59,app(sK43(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_63528]) ).
tcf(c_64175,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK59,sK42(X0)),sK59) = app(sK59,app(sK42(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_63528]) ).
tcf(c_64176,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK59,sK48(X0)),sK59) = app(sK59,app(sK48(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_63528]) ).
tcf(c_64177,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK59,sK47(X0)),sK59) = app(sK59,app(sK47(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_63528]) ).
tcf(c_64178,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,cons(X0,X1)),sK59) = app(sK59,app(cons(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_63528]) ).
tcf(c_64179,plain,
app(app(sK59,nil),sK59) = app(sK59,app(nil,sK59)),
inference(superposition,[status(thm)],[c_141,c_63528]) ).
tcf(c_64180,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK59,sK49(X0)),sK59) = app(sK59,app(sK49(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_63528]) ).
tcf(c_64181,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK59,tl(X0)),sK59) = app(sK59,app(tl(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_63528]) ).
tcf(c_64182,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK59,sK52(X0)),sK59) = app(sK59,app(sK52(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_63528]) ).
tcf(c_64183,plain,
app(app(sK59,sK59),sK59) = app(sK59,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_8916,c_63528]) ).
tcf(c_64184,plain,
app(app(sK59,sK58),sK59) = app(sK59,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_8915,c_63528]) ).
tcf(c_64185,plain,
app(app(sK59,sK56),sK59) = app(sK59,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_8907,c_63528]) ).
tcf(c_64186,plain,
app(app(sK59,iPr_def_12),sK59) = app(sK59,app(iPr_def_12,sK59)),
inference(superposition,[status(thm)],[c_12842,c_63528]) ).
tcf(c_64187,plain,
app(app(sK59,iPr_def_11),sK59) = app(sK59,app(iPr_def_11,sK59)),
inference(superposition,[status(thm)],[c_12706,c_63528]) ).
tcf(c_64188,plain,
app(app(sK59,iPr_def_10),sK59) = app(sK59,app(iPr_def_10,sK59)),
inference(superposition,[status(thm)],[c_18245,c_63528]) ).
tcf(c_64189,plain,
app(app(sK59,cons(sK57,sK59)),sK59) = app(sK59,app(cons(sK57,sK59),sK59)),
inference(superposition,[status(thm)],[c_38491,c_63528]) ).
tcf(c_64190,plain,
app(app(sK59,cons(sK57,sK58)),sK59) = app(sK59,app(cons(sK57,sK58),sK59)),
inference(superposition,[status(thm)],[c_42438,c_63528]) ).
tcf(c_64191,plain,
app(app(sK59,cons(sK57,sK56)),sK59) = app(sK59,app(cons(sK57,sK56),sK59)),
inference(superposition,[status(thm)],[c_45721,c_63528]) ).
tcf(c_64192,plain,
( ( nil = sK59 )
| ( app(app(sK59,tl(sK59)),sK59) = app(sK59,app(tl(sK59),sK59)) ) ),
inference(superposition,[status(thm)],[c_15329,c_63528]) ).
tcf(c_64193,plain,
( ( nil = sK58 )
| ( app(app(sK59,tl(sK58)),sK59) = app(sK59,app(tl(sK58),sK59)) ) ),
inference(superposition,[status(thm)],[c_15365,c_63528]) ).
tcf(c_64194,plain,
( ( nil = sK56 )
| ( app(app(sK59,tl(sK56)),sK59) = app(sK59,app(tl(sK56),sK59)) ) ),
inference(superposition,[status(thm)],[c_15756,c_63528]) ).
tcf(c_64195,plain,
app(app(sK59,tl(iPr_def_12)),sK59) = app(sK59,app(tl(iPr_def_12),sK59)),
inference(superposition,[status(thm)],[c_19014,c_63528]) ).
tcf(c_64196,plain,
app(app(sK59,cons(sK57,iPr_def_10)),sK59) = app(sK59,app(cons(sK57,iPr_def_10),sK59)),
inference(superposition,[status(thm)],[c_59801,c_63528]) ).
tcf(c_64197,plain,
app(app(sK59,cons(sK57,app(sK59,sK59))),sK59) = app(sK59,app(cons(sK57,app(sK59,sK59)),sK59)),
inference(superposition,[status(thm)],[c_38541,c_63528]) ).
tcf(c_64198,plain,
app(app(sK59,cons(sK57,app(sK58,sK59))),sK59) = app(sK59,app(cons(sK57,app(sK58,sK59)),sK59)),
inference(superposition,[status(thm)],[c_42487,c_63528]) ).
tcf(c_64199,plain,
app(app(sK59,cons(sK57,app(sK56,sK59))),sK59) = app(sK59,app(cons(sK57,app(sK56,sK59)),sK59)),
inference(superposition,[status(thm)],[c_45773,c_63528]) ).
tcf(c_64200,plain,
app(app(sK59,cons(sK57,app(sK59,sK58))),sK59) = app(sK59,app(cons(sK57,app(sK59,sK58)),sK59)),
inference(superposition,[status(thm)],[c_41763,c_63528]) ).
tcf(c_64201,plain,
app(app(sK59,cons(sK57,app(sK58,sK58))),sK59) = app(sK59,app(cons(sK57,app(sK58,sK58)),sK59)),
inference(superposition,[status(thm)],[c_43212,c_63528]) ).
tcf(c_64202,plain,
app(app(sK59,cons(sK57,app(sK56,sK58))),sK59) = app(sK59,app(cons(sK57,app(sK56,sK58)),sK59)),
inference(superposition,[status(thm)],[c_45770,c_63528]) ).
tcf(c_64203,plain,
app(app(sK59,cons(sK57,app(sK59,sK56))),sK59) = app(sK59,app(cons(sK57,app(sK59,sK56)),sK59)),
inference(superposition,[status(thm)],[c_45369,c_63528]) ).
tcf(c_64204,plain,
app(app(sK59,cons(sK57,app(sK58,sK56))),sK59) = app(sK59,app(cons(sK57,app(sK58,sK56)),sK59)),
inference(superposition,[status(thm)],[c_46410,c_63528]) ).
tcf(c_64205,plain,
app(app(sK59,cons(sK57,app(sK56,sK56))),sK59) = app(sK59,app(cons(sK57,app(sK56,sK56)),sK59)),
inference(superposition,[status(thm)],[c_46972,c_63528]) ).
tcf(c_64206,plain,
app(app(sK59,iPr_def_11),sK59) = app(sK59,cons(sK57,sK59)),
inference(light_normalisation,[status(thm)],[c_64187,c_37883]) ).
tcf(c_64207,plain,
app(app(sK59,iPr_def_12),sK59) = app(sK59,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_64186,c_18265]) ).
tcf(c_64209,plain,
app(app(sK59,cons(sK57,iPr_def_10)),sK59) = app(sK59,cons(sK57,app(iPr_def_10,sK59))),
inference(light_normalisation,[status(thm)],[c_64196,c_37876]) ).
tcf(c_64210,plain,
app(app(sK59,cons(sK57,sK56)),sK59) = app(sK59,cons(sK57,app(sK56,sK59))),
inference(light_normalisation,[status(thm)],[c_64191,c_37873]) ).
tcf(c_64211,plain,
app(app(sK59,cons(sK57,sK58)),sK59) = app(sK59,cons(sK57,app(sK58,sK59))),
inference(light_normalisation,[status(thm)],[c_64190,c_37872]) ).
tcf(c_64212,plain,
app(app(sK59,cons(sK57,sK59)),sK59) = app(sK59,cons(sK57,app(sK59,sK59))),
inference(light_normalisation,[status(thm)],[c_64189,c_37871]) ).
tcf(c_64417,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK59,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(app(app(sK59,sK59),sK59),X0)) ),
inference(superposition,[status(thm)],[c_64183,c_67]) ).
tcf(c_64420,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK59,sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ memberP(app(sK59,app(sK59,sK59)),X0) ),
inference(superposition,[status(thm)],[c_64183,c_167]) ).
tcf(c_64421,plain,
( ( app(sK59,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_64183,c_231]) ).
tcf(c_64422,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_64183,c_230]) ).
tcf(c_64423,plain,
( frontsegP(app(sK59,app(sK59,sK59)),app(sK59,sK59))
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64183,c_382]) ).
tcf(c_64424,plain,
( rearsegP(app(sK59,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64183,c_379]) ).
tcf(c_64425,plain,
( ssList(app(sK59,app(sK59,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64183,c_153]) ).
tcf(c_64426,plain,
! [X0: $i] :
( ( app(sK59,sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != app(X0,sK59) ) ),
inference(superposition,[status(thm)],[c_64183,c_225]) ).
tcf(c_64427,plain,
( segmentP(app(sK59,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(app(sK59,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_64183,c_67]) ).
tcf(c_64428,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ( app(app(sK59,sK59),X0) != app(sK59,app(sK59,sK59)) ) ),
inference(superposition,[status(thm)],[c_64183,c_226]) ).
tcf(c_64429,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ~ frontsegP(app(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_64183,c_176]) ).
tcf(c_64430,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ memberP(app(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_64183,c_165]) ).
tcf(c_64431,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK59,sK59)),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64183,c_193]) ).
tcf(c_64432,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64183,c_186]) ).
tcf(c_64433,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64183,c_166]) ).
tcf(c_64434,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_64183,c_193]) ).
tcf(c_64435,plain,
( ( app(sK59,sK59) = iPr_def_11 )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_64183,c_38527]) ).
tcf(c_64436,plain,
( ( app(sK59,sK59) = iPr_def_12 )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_64183,c_25223]) ).
tcf(c_64437,plain,
( ( app(sK59,sK59) = nil )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_64183,c_25211]) ).
tcf(c_64438,plain,
( ssList(app(sK59,app(sK59,sK59)))
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64425,c_8916]) ).
tcf(c_64441,plain,
( rearsegP(app(sK59,app(sK59,sK59)),sK59)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64424,c_8916]) ).
tcf(c_64444,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64434,c_8916]) ).
tcf(c_64448,plain,
( segmentP(app(sK59,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK59,app(sK59,sK59))) ),
inference(light_normalisation,[status(thm)],[c_64427,c_64183]) ).
tcf(c_64449,plain,
( segmentP(app(sK59,app(sK59,sK59)),sK59)
| ~ ssList(app(sK59,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64448,c_8916]) ).
tcf(c_64452,plain,
( frontsegP(app(sK59,app(sK59,sK59)),app(sK59,sK59))
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64423,c_8916]) ).
tcf(c_64461,plain,
( ( nil = sK59 )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64422,c_8916]) ).
tcf(c_64468,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64433,c_8916]) ).
tcf(c_64473,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64432,c_8916]) ).
tcf(c_64478,plain,
( ( app(sK59,sK59) = nil )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64421,c_8916]) ).
tcf(c_64482,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ memberP(app(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64430,c_8916]) ).
tcf(c_64487,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ~ frontsegP(app(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64429,c_8916]) ).
tcf(c_64492,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK59,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64431,c_8916]) ).
tcf(c_64498,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK59,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ memberP(app(sK59,app(sK59,sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64420,c_8916]) ).
tcf(c_64504,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ( app(app(sK59,sK59),X0) != app(sK59,app(sK59,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64428,c_8916]) ).
tcf(c_64509,plain,
! [X0: $i] :
( ( app(sK59,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64426,c_8916]) ).
tcf(c_64514,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK59,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(app(sK59,app(sK59,sK59)),X0)) ),
inference(light_normalisation,[status(thm)],[c_64417,c_64183]) ).
tcf(c_64515,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK59,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(app(sK59,app(sK59,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64514,c_8916]) ).
tcf(c_64643,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK59,app(sK59,sK59))) = app(X0,app(X1,app(sK59,app(sK59,sK59)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_228]) ).
tcf(c_64644,plain,
( ( app(app(sK59,app(sK59,app(sK59,sK59))),sK59) = app(sK59,app(app(sK59,app(sK59,sK59)),sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_63528]) ).
tcf(c_64645,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK59,sK59)),X0),sK59) = app(app(sK59,app(sK59,sK59)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_22629]) ).
tcf(c_64646,plain,
( ( hd(app(iPr_def_11,app(sK59,app(sK59,sK59)))) = sK57 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_19198]) ).
tcf(c_64647,plain,
( ( hd(cons(sK60,app(sK59,app(sK59,sK59)))) = sK60 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_18952]) ).
tcf(c_64648,plain,
( ( tl(cons(sK60,app(sK59,app(sK59,sK59)))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_18951]) ).
tcf(c_64649,plain,
( ( cons(sK57,app(app(sK59,app(sK59,sK59)),sK56)) = app(cons(sK57,app(sK59,app(sK59,sK59))),sK56) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_37365]) ).
tcf(c_64650,plain,
( ( tl(cons(sK7,app(sK59,app(sK59,sK59)))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_13978]) ).
tcf(c_64651,plain,
( ( tl(cons(sK6,app(sK59,app(sK59,sK59)))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_13977]) ).
tcf(c_64652,plain,
( ( cons(sK57,app(app(sK59,app(sK59,sK59)),sK58)) = app(cons(sK57,app(sK59,app(sK59,sK59))),sK58) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_37364]) ).
tcf(c_64653,plain,
( ( hd(cons(sK7,app(sK59,app(sK59,sK59)))) = sK7 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_13802]) ).
tcf(c_64654,plain,
( ( hd(cons(sK6,app(sK59,app(sK59,sK59)))) = sK6 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_13801]) ).
tcf(c_64655,plain,
( ( cons(sK57,app(app(sK59,app(sK59,sK59)),sK59)) = app(cons(sK57,app(sK59,app(sK59,sK59))),sK59) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_37363]) ).
tcf(c_64656,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK59,app(sK59,sK59)))) = app(cons(sK57,X0),app(sK59,app(sK59,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_22147]) ).
tcf(c_64657,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK59,app(sK59,sK59))) = tl(app(sK56,app(sK59,app(sK59,sK59)))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_21660]) ).
tcf(c_64658,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK59,app(sK59,sK59))) = tl(app(sK58,app(sK59,app(sK59,sK59)))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_21659]) ).
tcf(c_64659,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK59,app(sK59,sK59))) = tl(app(sK59,app(sK59,app(sK59,sK59)))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_21658]) ).
tcf(c_64660,plain,
( duplicatefreeP(app(sK59,app(sK59,sK59)))
| ( app(app(sK42(app(sK59,app(sK59,sK59))),cons(sK40(app(sK59,app(sK59,sK59))),sK43(app(sK59,app(sK59,sK59))))),cons(sK41(app(sK59,app(sK59,sK59))),sK44(app(sK59,app(sK59,sK59))))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_124]) ).
tcf(c_64661,plain,
( strictorderedP(app(sK59,app(sK59,sK59)))
| ( app(app(sK37(app(sK59,app(sK59,sK59))),cons(sK35(app(sK59,app(sK59,sK59))),sK38(app(sK59,app(sK59,sK59))))),cons(sK36(app(sK59,app(sK59,sK59))),sK39(app(sK59,app(sK59,sK59))))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_116]) ).
tcf(c_64662,plain,
( totalorderedP(app(sK59,app(sK59,sK59)))
| ( app(app(sK32(app(sK59,app(sK59,sK59))),cons(sK30(app(sK59,app(sK59,sK59))),sK33(app(sK59,app(sK59,sK59))))),cons(sK31(app(sK59,app(sK59,sK59))),sK34(app(sK59,app(sK59,sK59))))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_108]) ).
tcf(c_64663,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK59,app(sK59,sK59)))) = hd(sK56) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_19187]) ).
tcf(c_64664,plain,
! [X0: $i] :
( ( app(sK59,app(sK59,sK59)) = nil )
| ( app(tl(app(sK59,app(sK59,sK59))),X0) = tl(app(app(sK59,app(sK59,sK59)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_234]) ).
tcf(c_64665,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK59,app(sK59,sK59)))) = hd(sK58) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_19186]) ).
tcf(c_64666,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK59,app(sK59,sK59)))) = hd(sK59) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_19185]) ).
tcf(c_64667,plain,
( equalelemsP(app(sK59,app(sK59,sK59)))
| ( app(sK47(app(sK59,app(sK59,sK59))),cons(sK45(app(sK59,app(sK59,sK59))),cons(sK46(app(sK59,app(sK59,sK59))),sK48(app(sK59,app(sK59,sK59)))))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_132]) ).
tcf(c_64668,plain,
! [X0: $i] :
( ( app(sK59,app(sK59,sK59)) = nil )
| ( hd(app(app(sK59,app(sK59,sK59)),X0)) = hd(app(sK59,app(sK59,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_233]) ).
tcf(c_64669,plain,
( ( app(sK59,app(sK59,sK59)) = nil )
| ( cons(hd(app(sK59,app(sK59,sK59))),tl(app(sK59,app(sK59,sK59)))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_224]) ).
tcf(c_64670,plain,
( ( app(sK59,app(sK59,sK59)) = nil )
| ( cons(sK50(app(sK59,app(sK59,sK59))),sK49(app(sK59,app(sK59,sK59)))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_147]) ).
tcf(c_64671,plain,
( ( tl(cons(sK57,app(sK59,app(sK59,sK59)))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_13997]) ).
tcf(c_64672,plain,
( ( hd(cons(sK57,app(sK59,app(sK59,sK59)))) = sK57 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_13821]) ).
tcf(c_64673,plain,
( ( app(sK59,app(sK59,sK59)) = nil )
| ( tl(app(sK59,app(sK59,sK59))) = sK52(app(sK59,app(sK59,sK59))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_222]) ).
tcf(c_64674,plain,
( ( app(sK59,app(sK59,sK59)) = nil )
| ( hd(app(sK59,app(sK59,sK59))) = sK51(app(sK59,app(sK59,sK59))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_220]) ).
tcf(c_64675,plain,
( duplicatefreeP(app(sK59,app(sK59,sK59)))
| ( sK40(app(sK59,app(sK59,sK59))) = sK41(app(sK59,app(sK59,sK59))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_123]) ).
tcf(c_64676,plain,
( ( app(app(sK59,app(sK59,sK59)),nil) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_232]) ).
tcf(c_64677,plain,
( ( app(nil,app(sK59,app(sK59,sK59))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_155]) ).
tcf(c_64884,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK58,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(app(app(sK59,sK58),sK59),X0)) ),
inference(superposition,[status(thm)],[c_64184,c_67]) ).
tcf(c_64887,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK59,sK58),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ memberP(app(sK59,app(sK58,sK59)),X0) ),
inference(superposition,[status(thm)],[c_64184,c_167]) ).
tcf(c_64888,plain,
( ( app(sK59,sK58) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_64184,c_231]) ).
tcf(c_64889,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_64184,c_230]) ).
tcf(c_64890,plain,
( frontsegP(app(sK59,app(sK58,sK59)),app(sK59,sK58))
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64184,c_382]) ).
tcf(c_64891,plain,
( rearsegP(app(sK59,app(sK58,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64184,c_379]) ).
tcf(c_64892,plain,
( ssList(app(sK59,app(sK58,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64184,c_153]) ).
tcf(c_64893,plain,
! [X0: $i] :
( ( app(sK59,sK58) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != app(X0,sK59) ) ),
inference(superposition,[status(thm)],[c_64184,c_225]) ).
tcf(c_64894,plain,
( segmentP(app(sK59,app(sK58,sK59)),sK58)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(app(sK59,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_64184,c_67]) ).
tcf(c_64895,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ( app(app(sK59,sK58),X0) != app(sK59,app(sK58,sK59)) ) ),
inference(superposition,[status(thm)],[c_64184,c_226]) ).
tcf(c_64896,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ~ frontsegP(app(sK59,sK58),X0) ),
inference(superposition,[status(thm)],[c_64184,c_176]) ).
tcf(c_64897,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ memberP(app(sK59,sK58),X0) ),
inference(superposition,[status(thm)],[c_64184,c_165]) ).
tcf(c_64898,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK58,sK59)),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64184,c_193]) ).
tcf(c_64899,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64184,c_186]) ).
tcf(c_64900,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64184,c_166]) ).
tcf(c_64901,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_64184,c_193]) ).
tcf(c_64902,plain,
( ( app(sK59,sK58) = iPr_def_11 )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_64184,c_38527]) ).
tcf(c_64903,plain,
( ( app(sK59,sK58) = iPr_def_12 )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_64184,c_25223]) ).
tcf(c_64904,plain,
( ( app(sK59,sK58) = nil )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_64184,c_25211]) ).
tcf(c_64905,plain,
( ssList(app(sK59,app(sK58,sK59)))
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64892,c_8916]) ).
tcf(c_64908,plain,
( rearsegP(app(sK59,app(sK58,sK59)),sK59)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64891,c_8916]) ).
tcf(c_64911,plain,
( frontsegP(app(sK59,app(sK58,sK59)),app(sK59,sK58))
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64890,c_8916]) ).
tcf(c_64920,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64901,c_8916,c_8915]) ).
tcf(c_64924,plain,
( segmentP(app(sK59,app(sK58,sK59)),sK58)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(sK59,app(sK58,sK59))) ),
inference(light_normalisation,[status(thm)],[c_64894,c_64184]) ).
tcf(c_64925,plain,
( segmentP(app(sK59,app(sK58,sK59)),sK58)
| ~ ssList(app(sK59,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64924,c_8916,c_8915]) ).
tcf(c_64928,plain,
( ( nil = sK59 )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64889,c_8916]) ).
tcf(c_64935,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK58,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64900,c_8916]) ).
tcf(c_64940,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64899,c_8916]) ).
tcf(c_64945,plain,
( ( app(sK59,sK58) = nil )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64888,c_8916]) ).
tcf(c_64949,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK58,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ memberP(app(sK59,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64897,c_8916]) ).
tcf(c_64954,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ~ frontsegP(app(sK59,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64896,c_8916]) ).
tcf(c_64959,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK58,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64898,c_8916]) ).
tcf(c_64965,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK59,sK58),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ memberP(app(sK59,app(sK58,sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64887,c_8916]) ).
tcf(c_64971,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ( app(app(sK59,sK58),X0) != app(sK59,app(sK58,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64895,c_8916]) ).
tcf(c_64976,plain,
! [X0: $i] :
( ( app(sK59,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64893,c_8916]) ).
tcf(c_64981,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK58,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(app(sK59,app(sK58,sK59)),X0)) ),
inference(light_normalisation,[status(thm)],[c_64884,c_64184]) ).
tcf(c_64982,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK58,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(app(sK59,app(sK58,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64981,c_8916]) ).
tcf(c_65118,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK59,app(sK58,sK59))) = app(X0,app(X1,app(sK59,app(sK58,sK59)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_228]) ).
tcf(c_65119,plain,
( ( app(app(sK59,app(sK59,app(sK58,sK59))),sK59) = app(sK59,app(app(sK59,app(sK58,sK59)),sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_63528]) ).
tcf(c_65120,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK58,sK59)),X0),sK59) = app(app(sK59,app(sK58,sK59)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_22629]) ).
tcf(c_65121,plain,
( ( hd(app(iPr_def_11,app(sK59,app(sK58,sK59)))) = sK57 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_19198]) ).
tcf(c_65122,plain,
( ( hd(cons(sK60,app(sK59,app(sK58,sK59)))) = sK60 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_18952]) ).
tcf(c_65123,plain,
( ( tl(cons(sK60,app(sK59,app(sK58,sK59)))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_18951]) ).
tcf(c_65124,plain,
( ( cons(sK57,app(app(sK59,app(sK58,sK59)),sK56)) = app(cons(sK57,app(sK59,app(sK58,sK59))),sK56) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_37365]) ).
tcf(c_65125,plain,
( ( tl(cons(sK7,app(sK59,app(sK58,sK59)))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_13978]) ).
tcf(c_65126,plain,
( ( tl(cons(sK6,app(sK59,app(sK58,sK59)))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_13977]) ).
tcf(c_65127,plain,
( ( cons(sK57,app(app(sK59,app(sK58,sK59)),sK58)) = app(cons(sK57,app(sK59,app(sK58,sK59))),sK58) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_37364]) ).
tcf(c_65128,plain,
( ( hd(cons(sK7,app(sK59,app(sK58,sK59)))) = sK7 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_13802]) ).
tcf(c_65129,plain,
( ( hd(cons(sK6,app(sK59,app(sK58,sK59)))) = sK6 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_13801]) ).
tcf(c_65130,plain,
( ( cons(sK57,app(app(sK59,app(sK58,sK59)),sK59)) = app(cons(sK57,app(sK59,app(sK58,sK59))),sK59) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_37363]) ).
tcf(c_65131,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK59,app(sK58,sK59)))) = app(cons(sK57,X0),app(sK59,app(sK58,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_22147]) ).
tcf(c_65132,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK59,app(sK58,sK59))) = tl(app(sK56,app(sK59,app(sK58,sK59)))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_21660]) ).
tcf(c_65133,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK59,app(sK58,sK59))) = tl(app(sK58,app(sK59,app(sK58,sK59)))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_21659]) ).
tcf(c_65134,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK59,app(sK58,sK59))) = tl(app(sK59,app(sK59,app(sK58,sK59)))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_21658]) ).
tcf(c_65135,plain,
( duplicatefreeP(app(sK59,app(sK58,sK59)))
| ( app(app(sK42(app(sK59,app(sK58,sK59))),cons(sK40(app(sK59,app(sK58,sK59))),sK43(app(sK59,app(sK58,sK59))))),cons(sK41(app(sK59,app(sK58,sK59))),sK44(app(sK59,app(sK58,sK59))))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_124]) ).
tcf(c_65136,plain,
( strictorderedP(app(sK59,app(sK58,sK59)))
| ( app(app(sK37(app(sK59,app(sK58,sK59))),cons(sK35(app(sK59,app(sK58,sK59))),sK38(app(sK59,app(sK58,sK59))))),cons(sK36(app(sK59,app(sK58,sK59))),sK39(app(sK59,app(sK58,sK59))))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_116]) ).
tcf(c_65137,plain,
( totalorderedP(app(sK59,app(sK58,sK59)))
| ( app(app(sK32(app(sK59,app(sK58,sK59))),cons(sK30(app(sK59,app(sK58,sK59))),sK33(app(sK59,app(sK58,sK59))))),cons(sK31(app(sK59,app(sK58,sK59))),sK34(app(sK59,app(sK58,sK59))))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_108]) ).
tcf(c_65138,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK59,app(sK58,sK59)))) = hd(sK56) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_19187]) ).
tcf(c_65139,plain,
! [X0: $i] :
( ( app(sK59,app(sK58,sK59)) = nil )
| ( app(tl(app(sK59,app(sK58,sK59))),X0) = tl(app(app(sK59,app(sK58,sK59)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_234]) ).
tcf(c_65140,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK59,app(sK58,sK59)))) = hd(sK58) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_19186]) ).
tcf(c_65141,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK59,app(sK58,sK59)))) = hd(sK59) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_19185]) ).
tcf(c_65142,plain,
( equalelemsP(app(sK59,app(sK58,sK59)))
| ( app(sK47(app(sK59,app(sK58,sK59))),cons(sK45(app(sK59,app(sK58,sK59))),cons(sK46(app(sK59,app(sK58,sK59))),sK48(app(sK59,app(sK58,sK59)))))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_132]) ).
tcf(c_65143,plain,
! [X0: $i] :
( ( app(sK59,app(sK58,sK59)) = nil )
| ( hd(app(app(sK59,app(sK58,sK59)),X0)) = hd(app(sK59,app(sK58,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_233]) ).
tcf(c_65144,plain,
( ( app(sK59,app(sK58,sK59)) = nil )
| ( cons(hd(app(sK59,app(sK58,sK59))),tl(app(sK59,app(sK58,sK59)))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_224]) ).
tcf(c_65145,plain,
( ( app(sK59,app(sK58,sK59)) = nil )
| ( cons(sK50(app(sK59,app(sK58,sK59))),sK49(app(sK59,app(sK58,sK59)))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_147]) ).
tcf(c_65146,plain,
( ( tl(cons(sK57,app(sK59,app(sK58,sK59)))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_13997]) ).
tcf(c_65147,plain,
( ( hd(cons(sK57,app(sK59,app(sK58,sK59)))) = sK57 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_13821]) ).
tcf(c_65148,plain,
( ( app(sK59,app(sK58,sK59)) = nil )
| ( tl(app(sK59,app(sK58,sK59))) = sK52(app(sK59,app(sK58,sK59))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_222]) ).
tcf(c_65149,plain,
( ( app(sK59,app(sK58,sK59)) = nil )
| ( hd(app(sK59,app(sK58,sK59))) = sK51(app(sK59,app(sK58,sK59))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_220]) ).
tcf(c_65150,plain,
( duplicatefreeP(app(sK59,app(sK58,sK59)))
| ( sK40(app(sK59,app(sK58,sK59))) = sK41(app(sK59,app(sK58,sK59))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_123]) ).
tcf(c_65151,plain,
( ( app(app(sK59,app(sK58,sK59)),nil) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_232]) ).
tcf(c_65152,plain,
( ( app(nil,app(sK59,app(sK58,sK59))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_155]) ).
tcf(c_65540,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK56,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(app(app(sK59,sK56),sK59),X0)) ),
inference(superposition,[status(thm)],[c_64185,c_67]) ).
tcf(c_65543,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK59,sK56),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ memberP(app(sK59,app(sK56,sK59)),X0) ),
inference(superposition,[status(thm)],[c_64185,c_167]) ).
tcf(c_65544,plain,
( ( app(sK59,sK56) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_64185,c_231]) ).
tcf(c_65545,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_64185,c_230]) ).
tcf(c_65546,plain,
( frontsegP(app(sK59,app(sK56,sK59)),app(sK59,sK56))
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_64185,c_382]) ).
tcf(c_65547,plain,
( rearsegP(app(sK59,app(sK56,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_64185,c_379]) ).
tcf(c_65548,plain,
( ssList(app(sK59,app(sK56,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_64185,c_153]) ).
tcf(c_65549,plain,
! [X0: $i] :
( ( app(sK59,sK56) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != app(X0,sK59) ) ),
inference(superposition,[status(thm)],[c_64185,c_225]) ).
tcf(c_65550,plain,
( segmentP(app(sK59,app(sK56,sK59)),sK56)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(app(app(sK59,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_64185,c_67]) ).
tcf(c_65551,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ( app(app(sK59,sK56),X0) != app(sK59,app(sK56,sK59)) ) ),
inference(superposition,[status(thm)],[c_64185,c_226]) ).
tcf(c_65552,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ~ frontsegP(app(sK59,sK56),X0) ),
inference(superposition,[status(thm)],[c_64185,c_176]) ).
tcf(c_65553,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ memberP(app(sK59,sK56),X0) ),
inference(superposition,[status(thm)],[c_64185,c_165]) ).
tcf(c_65554,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK56,sK59)),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_64185,c_193]) ).
tcf(c_65555,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_64185,c_186]) ).
tcf(c_65556,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_64185,c_166]) ).
tcf(c_65557,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK56,sK59)),X0)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_64185,c_193]) ).
tcf(c_65558,plain,
( ( app(sK59,sK56) = iPr_def_11 )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_64185,c_38527]) ).
tcf(c_65559,plain,
( ( app(sK59,sK56) = iPr_def_12 )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_64185,c_25223]) ).
tcf(c_65560,plain,
( ( app(sK59,sK56) = nil )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_64185,c_25211]) ).
tcf(c_65561,plain,
( ssList(app(sK59,app(sK56,sK59)))
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65548,c_8916]) ).
tcf(c_65564,plain,
( rearsegP(app(sK59,app(sK56,sK59)),sK59)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65547,c_8916]) ).
tcf(c_65567,plain,
( frontsegP(app(sK59,app(sK56,sK59)),app(sK59,sK56))
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65546,c_8916]) ).
tcf(c_65576,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65557,c_8907,c_8916]) ).
tcf(c_65580,plain,
( segmentP(app(sK59,app(sK56,sK59)),sK56)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(app(sK59,app(sK56,sK59))) ),
inference(light_normalisation,[status(thm)],[c_65550,c_64185]) ).
tcf(c_65581,plain,
( segmentP(app(sK59,app(sK56,sK59)),sK56)
| ~ ssList(app(sK59,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65580,c_8907,c_8916]) ).
tcf(c_65584,plain,
( ( nil = sK59 )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65545,c_8916]) ).
tcf(c_65591,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK56,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65556,c_8916]) ).
tcf(c_65596,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65555,c_8916]) ).
tcf(c_65601,plain,
( ( app(sK59,sK56) = nil )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65544,c_8916]) ).
tcf(c_65605,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK56,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ memberP(app(sK59,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65553,c_8916]) ).
tcf(c_65610,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ~ frontsegP(app(sK59,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65552,c_8916]) ).
tcf(c_65615,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK56,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65554,c_8916]) ).
tcf(c_65621,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK59,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ memberP(app(sK59,app(sK56,sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65543,c_8916]) ).
tcf(c_65627,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ( app(app(sK59,sK56),X0) != app(sK59,app(sK56,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65551,c_8916]) ).
tcf(c_65632,plain,
! [X0: $i] :
( ( app(sK59,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65549,c_8916]) ).
tcf(c_65637,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK56,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(app(sK59,app(sK56,sK59)),X0)) ),
inference(light_normalisation,[status(thm)],[c_65540,c_64185]) ).
tcf(c_65638,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK56,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(app(sK59,app(sK56,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65637,c_8916]) ).
tcf(c_65681,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK59,app(sK56,sK59))) = app(X0,app(X1,app(sK59,app(sK56,sK59)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_228]) ).
tcf(c_65682,plain,
( ( app(app(sK59,app(sK59,app(sK56,sK59))),sK59) = app(sK59,app(app(sK59,app(sK56,sK59)),sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_63528]) ).
tcf(c_65683,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK56,sK59)),X0),sK59) = app(app(sK59,app(sK56,sK59)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_22629]) ).
tcf(c_65684,plain,
( ( hd(app(iPr_def_11,app(sK59,app(sK56,sK59)))) = sK57 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_19198]) ).
tcf(c_65685,plain,
( ( hd(cons(sK60,app(sK59,app(sK56,sK59)))) = sK60 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_18952]) ).
tcf(c_65686,plain,
( ( tl(cons(sK60,app(sK59,app(sK56,sK59)))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_18951]) ).
tcf(c_65687,plain,
( ( cons(sK57,app(app(sK59,app(sK56,sK59)),sK56)) = app(cons(sK57,app(sK59,app(sK56,sK59))),sK56) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_37365]) ).
tcf(c_65688,plain,
( ( tl(cons(sK7,app(sK59,app(sK56,sK59)))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_13978]) ).
tcf(c_65689,plain,
( ( tl(cons(sK6,app(sK59,app(sK56,sK59)))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_13977]) ).
tcf(c_65690,plain,
( ( cons(sK57,app(app(sK59,app(sK56,sK59)),sK58)) = app(cons(sK57,app(sK59,app(sK56,sK59))),sK58) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_37364]) ).
tcf(c_65691,plain,
( ( hd(cons(sK7,app(sK59,app(sK56,sK59)))) = sK7 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_13802]) ).
tcf(c_65692,plain,
( ( hd(cons(sK6,app(sK59,app(sK56,sK59)))) = sK6 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_13801]) ).
tcf(c_65693,plain,
( ( cons(sK57,app(app(sK59,app(sK56,sK59)),sK59)) = app(cons(sK57,app(sK59,app(sK56,sK59))),sK59) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_37363]) ).
tcf(c_65694,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK59,app(sK56,sK59)))) = app(cons(sK57,X0),app(sK59,app(sK56,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_22147]) ).
tcf(c_65695,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK59,app(sK56,sK59))) = tl(app(sK56,app(sK59,app(sK56,sK59)))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_21660]) ).
tcf(c_65696,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK59,app(sK56,sK59))) = tl(app(sK58,app(sK59,app(sK56,sK59)))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_21659]) ).
tcf(c_65697,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK59,app(sK56,sK59))) = tl(app(sK59,app(sK59,app(sK56,sK59)))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_21658]) ).
tcf(c_65698,plain,
( duplicatefreeP(app(sK59,app(sK56,sK59)))
| ( app(app(sK42(app(sK59,app(sK56,sK59))),cons(sK40(app(sK59,app(sK56,sK59))),sK43(app(sK59,app(sK56,sK59))))),cons(sK41(app(sK59,app(sK56,sK59))),sK44(app(sK59,app(sK56,sK59))))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_124]) ).
tcf(c_65699,plain,
( strictorderedP(app(sK59,app(sK56,sK59)))
| ( app(app(sK37(app(sK59,app(sK56,sK59))),cons(sK35(app(sK59,app(sK56,sK59))),sK38(app(sK59,app(sK56,sK59))))),cons(sK36(app(sK59,app(sK56,sK59))),sK39(app(sK59,app(sK56,sK59))))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_116]) ).
tcf(c_65700,plain,
( totalorderedP(app(sK59,app(sK56,sK59)))
| ( app(app(sK32(app(sK59,app(sK56,sK59))),cons(sK30(app(sK59,app(sK56,sK59))),sK33(app(sK59,app(sK56,sK59))))),cons(sK31(app(sK59,app(sK56,sK59))),sK34(app(sK59,app(sK56,sK59))))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_108]) ).
tcf(c_65701,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK59,app(sK56,sK59)))) = hd(sK56) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_19187]) ).
tcf(c_65702,plain,
! [X0: $i] :
( ( app(sK59,app(sK56,sK59)) = nil )
| ( app(tl(app(sK59,app(sK56,sK59))),X0) = tl(app(app(sK59,app(sK56,sK59)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_234]) ).
tcf(c_65703,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK59,app(sK56,sK59)))) = hd(sK58) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_19186]) ).
tcf(c_65704,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK59,app(sK56,sK59)))) = hd(sK59) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_19185]) ).
tcf(c_65705,plain,
( equalelemsP(app(sK59,app(sK56,sK59)))
| ( app(sK47(app(sK59,app(sK56,sK59))),cons(sK45(app(sK59,app(sK56,sK59))),cons(sK46(app(sK59,app(sK56,sK59))),sK48(app(sK59,app(sK56,sK59)))))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_132]) ).
tcf(c_65706,plain,
! [X0: $i] :
( ( app(sK59,app(sK56,sK59)) = nil )
| ( hd(app(app(sK59,app(sK56,sK59)),X0)) = hd(app(sK59,app(sK56,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_233]) ).
tcf(c_65707,plain,
( ( app(sK59,app(sK56,sK59)) = nil )
| ( cons(hd(app(sK59,app(sK56,sK59))),tl(app(sK59,app(sK56,sK59)))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_224]) ).
tcf(c_65708,plain,
( ( app(sK59,app(sK56,sK59)) = nil )
| ( cons(sK50(app(sK59,app(sK56,sK59))),sK49(app(sK59,app(sK56,sK59)))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_147]) ).
tcf(c_65709,plain,
( ( tl(cons(sK57,app(sK59,app(sK56,sK59)))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_13997]) ).
tcf(c_65710,plain,
( ( hd(cons(sK57,app(sK59,app(sK56,sK59)))) = sK57 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_13821]) ).
tcf(c_65711,plain,
( ( app(sK59,app(sK56,sK59)) = nil )
| ( tl(app(sK59,app(sK56,sK59))) = sK52(app(sK59,app(sK56,sK59))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_222]) ).
tcf(c_65712,plain,
( ( app(sK59,app(sK56,sK59)) = nil )
| ( hd(app(sK59,app(sK56,sK59))) = sK51(app(sK59,app(sK56,sK59))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_220]) ).
tcf(c_65713,plain,
( duplicatefreeP(app(sK59,app(sK56,sK59)))
| ( sK40(app(sK59,app(sK56,sK59))) = sK41(app(sK59,app(sK56,sK59))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_123]) ).
tcf(c_65714,plain,
( ( app(app(sK59,app(sK56,sK59)),nil) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_232]) ).
tcf(c_65715,plain,
( ( app(nil,app(sK59,app(sK56,sK59))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_155]) ).
tcf(c_66039,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_64441,c_183]) ).
tcf(c_66040,plain,
( ( app(sK59,app(sK59,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK59)))
| ~ rearsegP(sK59,app(sK59,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_64441,c_184]) ).
tcf(c_66041,plain,
( ( app(sK12(app(sK59,app(sK59,sK59)),sK59),sK59) = app(sK59,app(sK59,sK59)) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_64441,c_66]) ).
tcf(c_66043,plain,
( ( app(sK12(app(sK59,app(sK59,sK59)),sK59),sK59) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66041,c_8916]) ).
tcf(c_66047,plain,
( ( app(sK59,app(sK59,sK59)) = sK59 )
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK59)))
| ~ rearsegP(sK59,app(sK59,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66040,c_8916]) ).
tcf(c_66056,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_64908,c_183]) ).
tcf(c_66057,plain,
( ( app(sK59,app(sK58,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK59)))
| ~ rearsegP(sK59,app(sK59,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_64908,c_184]) ).
tcf(c_66058,plain,
( ( app(sK12(app(sK59,app(sK58,sK59)),sK59),sK59) = app(sK59,app(sK58,sK59)) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_64908,c_66]) ).
tcf(c_66060,plain,
( ( app(sK12(app(sK59,app(sK58,sK59)),sK59),sK59) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66058,c_8916]) ).
tcf(c_66064,plain,
( ( app(sK59,app(sK58,sK59)) = sK59 )
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK59)))
| ~ rearsegP(sK59,app(sK59,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66057,c_8916]) ).
tcf(c_66073,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_65564,c_183]) ).
tcf(c_66074,plain,
( ( app(sK59,app(sK56,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK59)))
| ~ rearsegP(sK59,app(sK59,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_65564,c_184]) ).
tcf(c_66075,plain,
( ( app(sK12(app(sK59,app(sK56,sK59)),sK59),sK59) = app(sK59,app(sK56,sK59)) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_65564,c_66]) ).
tcf(c_66077,plain,
( ( app(sK12(app(sK59,app(sK56,sK59)),sK59),sK59) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66075,c_8916]) ).
tcf(c_66081,plain,
( ( app(sK59,app(sK56,sK59)) = sK59 )
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK59)))
| ~ rearsegP(sK59,app(sK59,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66074,c_8916]) ).
tcf(c_66185,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ frontsegP(sK12(sK58,sK58),X0) ),
inference(superposition,[status(thm)],[c_52459,c_173]) ).
tcf(c_66186,plain,
( ( sK12(sK58,sK58) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK12(sK58,sK58))
| ~ frontsegP(sK12(sK58,sK58),iPr_def_10) ),
inference(superposition,[status(thm)],[c_52459,c_174]) ).
tcf(c_66187,plain,
( ( app(sK12(sK58,sK58),sK11(iPr_def_10,sK12(sK58,sK58))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK12(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_52459,c_63]) ).
tcf(c_66188,plain,
( ( app(sK12(sK58,sK58),sK11(iPr_def_10,sK12(sK58,sK58))) = iPr_def_10 )
| ~ ssList(sK12(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66187,c_18245]) ).
tcf(c_66191,plain,
( ( sK12(sK58,sK58) = iPr_def_10 )
| ~ ssList(sK12(sK58,sK58))
| ~ frontsegP(sK12(sK58,sK58),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66186,c_18245]) ).
tcf(c_66195,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,sK58))
| ~ frontsegP(sK12(sK58,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66185,c_18245]) ).
tcf(c_66206,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK59,app(sK59,sK59)),X0),X0),sK14(app(sK59,app(sK59,sK59)),X0)) = app(sK59,app(sK59,sK59)) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK59,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_64444,c_70]) ).
tcf(c_66207,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,app(sK59,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK59,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_64444,c_190]) ).
tcf(c_66208,plain,
! [X0: $i] :
( ( app(sK59,app(sK59,sK59)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK59,app(sK59,sK59)))
| ~ segmentP(X0,app(sK59,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_64444,c_191]) ).
tcf(c_66241,plain,
( ( app(app(sK13(app(sK59,app(sK59,sK59)),sK59),sK59),sK14(app(sK59,app(sK59,sK59)),sK59)) = app(sK59,app(sK59,sK59)) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_64449,c_70]) ).
tcf(c_66242,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK59,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_64449,c_190]) ).
tcf(c_66243,plain,
( ( app(sK59,app(sK59,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,app(sK59,sK59)))
| ~ segmentP(sK59,app(sK59,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_64449,c_191]) ).
tcf(c_66245,plain,
( ( app(sK59,app(sK59,sK59)) = sK59 )
| ~ ssList(app(sK59,app(sK59,sK59)))
| ~ segmentP(sK59,app(sK59,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66243,c_8916]) ).
tcf(c_66249,plain,
( ( app(app(sK13(app(sK59,app(sK59,sK59)),sK59),sK59),sK14(app(sK59,app(sK59,sK59)),sK59)) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66241,c_8916]) ).
tcf(c_66257,plain,
( ( app(sK59,app(sK59,sK59)) = app(sK59,sK59) )
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK59)))
| ~ frontsegP(app(sK59,sK59),app(sK59,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_64452,c_174]) ).
tcf(c_66258,plain,
( ( app(app(sK59,sK59),sK11(app(sK59,app(sK59,sK59)),app(sK59,sK59))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_64452,c_63]) ).
tcf(c_66271,plain,
( ( app(sK59,app(sK58,sK59)) = app(sK59,sK58) )
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK59)))
| ~ frontsegP(app(sK59,sK58),app(sK59,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_64911,c_174]) ).
tcf(c_66272,plain,
( ( app(app(sK59,sK58),sK11(app(sK59,app(sK58,sK59)),app(sK59,sK58))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_64911,c_63]) ).
tcf(c_66336,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK59,app(sK58,sK59)),X0),X0),sK14(app(sK59,app(sK58,sK59)),X0)) = app(sK59,app(sK58,sK59)) )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK59,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_64920,c_70]) ).
tcf(c_66337,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,app(sK58,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK59,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_64920,c_190]) ).
tcf(c_66338,plain,
! [X0: $i] :
( ( app(sK59,app(sK58,sK59)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK59,app(sK58,sK59)))
| ~ segmentP(X0,app(sK59,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_64920,c_191]) ).
tcf(c_66361,plain,
( ( app(app(sK13(app(sK59,app(sK58,sK59)),sK58),sK58),sK14(app(sK59,app(sK58,sK59)),sK58)) = app(sK59,app(sK58,sK59)) )
| ~ ssList(sK58)
| ~ ssList(app(sK59,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_64925,c_70]) ).
tcf(c_66362,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK58,sK59)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK59,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_64925,c_190]) ).
tcf(c_66363,plain,
( ( app(sK59,app(sK58,sK59)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK59,app(sK58,sK59)))
| ~ segmentP(sK58,app(sK59,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_64925,c_191]) ).
tcf(c_66365,plain,
( ( app(sK59,app(sK58,sK59)) = sK58 )
| ~ ssList(app(sK59,app(sK58,sK59)))
| ~ segmentP(sK58,app(sK59,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66363,c_8915]) ).
tcf(c_66369,plain,
( ( app(app(sK13(app(sK59,app(sK58,sK59)),sK58),sK58),sK14(app(sK59,app(sK58,sK59)),sK58)) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66361,c_8915]) ).
tcf(c_66377,plain,
( ( app(sK59,app(sK56,sK59)) = app(sK59,sK56) )
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK59)))
| ~ frontsegP(app(sK59,sK56),app(sK59,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_65567,c_174]) ).
tcf(c_66378,plain,
( ( app(app(sK59,sK56),sK11(app(sK59,app(sK56,sK59)),app(sK59,sK56))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_65567,c_63]) ).
tcf(c_66392,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK59,app(sK56,sK59)),X0),X0),sK14(app(sK59,app(sK56,sK59)),X0)) = app(sK59,app(sK56,sK59)) )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK59,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_65576,c_70]) ).
tcf(c_66393,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,app(sK56,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK59,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_65576,c_190]) ).
tcf(c_66394,plain,
! [X0: $i] :
( ( app(sK59,app(sK56,sK59)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK59,app(sK56,sK59)))
| ~ segmentP(X0,app(sK59,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_65576,c_191]) ).
tcf(c_66413,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ~ ssList(app(app(cons(sK57,iPr_def_10),nil),X0)) ),
inference(superposition,[status(thm)],[c_59833,c_67]) ).
tcf(c_66419,plain,
( frontsegP(cons(sK57,iPr_def_10),cons(sK57,iPr_def_10))
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_59833,c_382]) ).
tcf(c_66420,plain,
( rearsegP(cons(sK57,iPr_def_10),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_59833,c_379]) ).
tcf(c_66422,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_10) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ( app(X0,nil) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_59833,c_225]) ).
tcf(c_66423,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ( app(cons(sK57,iPr_def_10),X0) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_59833,c_226]) ).
tcf(c_66426,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_59833,c_193]) ).
tcf(c_66427,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_59833,c_186]) ).
tcf(c_66432,plain,
rearsegP(cons(sK57,iPr_def_10),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_66420,c_141,c_59801]) ).
tcf(c_66433,plain,
frontsegP(cons(sK57,iPr_def_10),cons(sK57,iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_66419,c_141,c_59801]) ).
tcf(c_66434,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66427,c_141,c_59801]) ).
tcf(c_66438,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66426,c_141,c_59801]) ).
tcf(c_66443,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK57,iPr_def_10),X0) != cons(sK57,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66423,c_141,c_59801]) ).
tcf(c_66447,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_10) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK57,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66422,c_141,c_59801]) ).
tcf(c_66451,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ~ ssList(app(cons(sK57,iPr_def_10),X0)) ),
inference(light_normalisation,[status(thm)],[c_66413,c_59833]) ).
tcf(c_66452,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,iPr_def_10),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66451,c_141,c_59801]) ).
tcf(c_66460,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_10))
| ~ rearsegP(nil,cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_66432,c_184]) ).
tcf(c_66461,plain,
( ( app(sK12(cons(sK57,iPr_def_10),nil),nil) = cons(sK57,iPr_def_10) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_66432,c_66]) ).
tcf(c_66462,plain,
app(sK12(cons(sK57,iPr_def_10),nil),nil) = cons(sK57,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_66461,c_141,c_59801]) ).
tcf(c_66463,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ~ rearsegP(nil,cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66460,c_141,c_59801]) ).
tcf(c_66468,plain,
( ( app(cons(sK57,iPr_def_10),sK11(cons(sK57,iPr_def_10),cons(sK57,iPr_def_10))) = cons(sK57,iPr_def_10) )
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_66433,c_63]) ).
tcf(c_66471,plain,
app(cons(sK57,iPr_def_10),sK11(cons(sK57,iPr_def_10),cons(sK57,iPr_def_10))) = cons(sK57,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_66468,c_59801]) ).
tcf(c_66472,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK57,iPr_def_10),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK57,iPr_def_10)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_59834,c_122]) ).
tcf(c_66473,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK57,iPr_def_10),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK57,iPr_def_10)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_59834,c_114]) ).
tcf(c_66474,plain,
! [X0: $i] :
( ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,iPr_def_10),cons(sK57,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK57,iPr_def_10)),cons(sK57,X0))) ),
inference(superposition,[status(thm)],[c_59834,c_130]) ).
tcf(c_66478,plain,
( memberP(cons(sK57,iPr_def_10),sK57)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,iPr_def_10))) ),
inference(superposition,[status(thm)],[c_59834,c_54]) ).
tcf(c_66479,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X0),cons(sK57,iPr_def_10))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ~ ssList(app(app(nil,cons(sK57,iPr_def_10)),X0)) ),
inference(superposition,[status(thm)],[c_59834,c_67]) ).
tcf(c_66485,plain,
( frontsegP(cons(sK57,iPr_def_10),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_59834,c_382]) ).
tcf(c_66486,plain,
( rearsegP(cons(sK57,iPr_def_10),cons(sK57,iPr_def_10))
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_59834,c_379]) ).
tcf(c_66488,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ( app(X0,cons(sK57,iPr_def_10)) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_59834,c_225]) ).
tcf(c_66492,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_10) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ( app(nil,X0) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_59834,c_226]) ).
tcf(c_66493,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_59834,c_176]) ).
tcf(c_66495,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ~ segmentP(cons(sK57,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_59834,c_193]) ).
tcf(c_66498,plain,
frontsegP(cons(sK57,iPr_def_10),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_66485,c_141,c_59801]) ).
tcf(c_66499,plain,
rearsegP(cons(sK57,iPr_def_10),cons(sK57,iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_66486,c_141,c_59801]) ).
tcf(c_66500,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66493,c_141,c_59801]) ).
tcf(c_66504,plain,
( memberP(cons(sK57,iPr_def_10),sK57)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_66478,c_59834]) ).
tcf(c_66505,plain,
memberP(cons(sK57,iPr_def_10),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_66504,c_18245,c_141,c_8914,c_59801]) ).
tcf(c_66506,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_10) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK57,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66492,c_141,c_59801]) ).
tcf(c_66510,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK57,iPr_def_10)) != cons(sK57,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66488,c_141,c_59801]) ).
tcf(c_66514,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(cons(sK57,iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66495,c_141,c_59801]) ).
tcf(c_66519,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X0),cons(sK57,iPr_def_10))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_10))
| ~ ssList(app(cons(sK57,iPr_def_10),X0)) ),
inference(light_normalisation,[status(thm)],[c_66479,c_59834]) ).
tcf(c_66520,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X0),cons(sK57,iPr_def_10))
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,iPr_def_10),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66519,c_141,c_59801]) ).
tcf(c_66542,plain,
! [X0: $i] :
( ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK57,iPr_def_10),cons(sK57,X0)))
| ~ ssList(app(cons(sK57,iPr_def_10),cons(sK57,X0))) ),
inference(light_normalisation,[status(thm)],[c_66474,c_59834]) ).
tcf(c_66543,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK57,iPr_def_10),cons(sK57,X0)))
| ~ ssList(app(cons(sK57,iPr_def_10),cons(sK57,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66542,c_18245,c_141,c_8914]) ).
tcf(c_66547,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK57,iPr_def_10),cons(X0,X1)))
| ~ ssList(app(cons(sK57,iPr_def_10),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_66473,c_59834]) ).
tcf(c_66548,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK57,iPr_def_10),cons(X0,X1)))
| ~ ssList(app(cons(sK57,iPr_def_10),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66547,c_18245,c_141,c_8914]) ).
tcf(c_66554,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK57,iPr_def_10),cons(X0,X1)))
| ~ ssList(app(cons(sK57,iPr_def_10),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_66472,c_59834]) ).
tcf(c_66555,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK57,iPr_def_10),cons(X0,X1)))
| ~ ssList(app(cons(sK57,iPr_def_10),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66554,c_18245,c_141,c_8914]) ).
tcf(c_66606,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_10))
| ~ frontsegP(nil,cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_66498,c_174]) ).
tcf(c_66607,plain,
( ( app(nil,sK11(cons(sK57,iPr_def_10),nil)) = cons(sK57,iPr_def_10) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_66498,c_63]) ).
tcf(c_66608,plain,
app(nil,sK11(cons(sK57,iPr_def_10),nil)) = cons(sK57,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_66607,c_141,c_59801]) ).
tcf(c_66609,plain,
( ( cons(sK57,iPr_def_10) = nil )
| ~ frontsegP(nil,cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66606,c_141,c_59801]) ).
tcf(c_66612,plain,
( ( app(sK8(cons(sK57,iPr_def_10),sK57),cons(sK57,sK9(cons(sK57,iPr_def_10),sK57))) = cons(sK57,iPr_def_10) )
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_66505,c_57]) ).
tcf(c_66613,plain,
( ( app(nil,sK8(cons(sK57,iPr_def_10),sK57)) = sK8(cons(sK57,iPr_def_10),sK57) )
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_66505,c_12510]) ).
tcf(c_66615,plain,
app(nil,sK8(cons(sK57,iPr_def_10),sK57)) = sK8(cons(sK57,iPr_def_10),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_66613,c_8914,c_59801]) ).
tcf(c_66616,plain,
app(sK8(cons(sK57,iPr_def_10),sK57),cons(sK57,sK9(cons(sK57,iPr_def_10),sK57))) = cons(sK57,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_66612,c_8914,c_59801]) ).
tcf(c_66619,plain,
( ( app(sK12(cons(sK57,iPr_def_10),cons(sK57,iPr_def_10)),cons(sK57,iPr_def_10)) = cons(sK57,iPr_def_10) )
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_66499,c_66]) ).
tcf(c_66620,plain,
app(sK12(cons(sK57,iPr_def_10),cons(sK57,iPr_def_10)),cons(sK57,iPr_def_10)) = cons(sK57,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_66619,c_59801]) ).
tcf(c_66625,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ frontsegP(sK12(sK58,nil),X0) ),
inference(superposition,[status(thm)],[c_52460,c_173]) ).
tcf(c_66626,plain,
( ( sK12(sK58,nil) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK12(sK58,nil))
| ~ frontsegP(sK12(sK58,nil),iPr_def_10) ),
inference(superposition,[status(thm)],[c_52460,c_174]) ).
tcf(c_66627,plain,
( ( app(sK12(sK58,nil),sK11(iPr_def_10,sK12(sK58,nil))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK12(sK58,nil)) ),
inference(superposition,[status(thm)],[c_52460,c_63]) ).
tcf(c_66628,plain,
( ( app(sK12(sK58,nil),sK11(iPr_def_10,sK12(sK58,nil))) = iPr_def_10 )
| ~ ssList(sK12(sK58,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66627,c_18245]) ).
tcf(c_66631,plain,
( ( sK12(sK58,nil) = iPr_def_10 )
| ~ ssList(sK12(sK58,nil))
| ~ frontsegP(sK12(sK58,nil),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66626,c_18245]) ).
tcf(c_66635,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK12(sK58,nil))
| ~ frontsegP(sK12(sK58,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66625,c_18245]) ).
tcf(c_66644,plain,
( ( app(app(sK13(app(sK59,app(sK56,sK59)),sK56),sK56),sK14(app(sK59,app(sK56,sK59)),sK56)) = app(sK59,app(sK56,sK59)) )
| ~ ssList(sK56)
| ~ ssList(app(sK59,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_65581,c_70]) ).
tcf(c_66645,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK56,sK59)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK59,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_65581,c_190]) ).
tcf(c_66646,plain,
( ( app(sK59,app(sK56,sK59)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK59,app(sK56,sK59)))
| ~ segmentP(sK56,app(sK59,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_65581,c_191]) ).
tcf(c_66648,plain,
( ( app(sK59,app(sK56,sK59)) = sK56 )
| ~ ssList(app(sK59,app(sK56,sK59)))
| ~ segmentP(sK56,app(sK59,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66646,c_8907]) ).
tcf(c_66652,plain,
( ( app(app(sK13(app(sK59,app(sK56,sK59)),sK56),sK56),sK14(app(sK59,app(sK56,sK59)),sK56)) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66644,c_8907]) ).
tcf(c_66655,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,iPr_def_10),sK57),X0),sK8(cons(sK57,iPr_def_10),sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_10),sK57))
| ~ ssList(app(app(nil,sK8(cons(sK57,iPr_def_10),sK57)),X0)) ),
inference(superposition,[status(thm)],[c_66615,c_67]) ).
tcf(c_66661,plain,
( frontsegP(sK8(cons(sK57,iPr_def_10),sK57),nil)
| ~ ssList(nil)
| ~ ssList(sK8(cons(sK57,iPr_def_10),sK57)) ),
inference(superposition,[status(thm)],[c_66615,c_382]) ).
tcf(c_66662,plain,
( rearsegP(sK8(cons(sK57,iPr_def_10),sK57),sK8(cons(sK57,iPr_def_10),sK57))
| ~ ssList(nil)
| ~ ssList(sK8(cons(sK57,iPr_def_10),sK57)) ),
inference(superposition,[status(thm)],[c_66615,c_379]) ).
tcf(c_66664,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_10),sK57))
| ( app(X0,sK8(cons(sK57,iPr_def_10),sK57)) != sK8(cons(sK57,iPr_def_10),sK57) ) ),
inference(superposition,[status(thm)],[c_66615,c_225]) ).
tcf(c_66668,plain,
! [X0: $i] :
( ( sK8(cons(sK57,iPr_def_10),sK57) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_10),sK57))
| ( sK8(cons(sK57,iPr_def_10),sK57) != app(nil,X0) ) ),
inference(superposition,[status(thm)],[c_66615,c_226]) ).
tcf(c_66669,plain,
! [X0: $i] :
( frontsegP(sK8(cons(sK57,iPr_def_10),sK57),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(cons(sK57,iPr_def_10),sK57)) ),
inference(superposition,[status(thm)],[c_66615,c_176]) ).
tcf(c_66671,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(cons(sK57,iPr_def_10),sK57),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_10),sK57))
| ~ segmentP(sK8(cons(sK57,iPr_def_10),sK57),X0) ),
inference(superposition,[status(thm)],[c_66615,c_193]) ).
tcf(c_66674,plain,
( frontsegP(sK8(cons(sK57,iPr_def_10),sK57),nil)
| ~ ssList(sK8(cons(sK57,iPr_def_10),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66661,c_141]) ).
tcf(c_66677,plain,
( rearsegP(sK8(cons(sK57,iPr_def_10),sK57),sK8(cons(sK57,iPr_def_10),sK57))
| ~ ssList(sK8(cons(sK57,iPr_def_10),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66662,c_141]) ).
tcf(c_66680,plain,
! [X0: $i] :
( frontsegP(sK8(cons(sK57,iPr_def_10),sK57),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(cons(sK57,iPr_def_10),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66669,c_141]) ).
tcf(c_66685,plain,
! [X0: $i] :
( ( sK8(cons(sK57,iPr_def_10),sK57) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_10),sK57))
| ( sK8(cons(sK57,iPr_def_10),sK57) != app(nil,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66668,c_141]) ).
tcf(c_66690,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_10),sK57))
| ( app(X0,sK8(cons(sK57,iPr_def_10),sK57)) != sK8(cons(sK57,iPr_def_10),sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66664,c_141]) ).
tcf(c_66695,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(cons(sK57,iPr_def_10),sK57),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_10),sK57))
| ~ segmentP(sK8(cons(sK57,iPr_def_10),sK57),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66671,c_141]) ).
tcf(c_66701,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,iPr_def_10),sK57),X0),sK8(cons(sK57,iPr_def_10),sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_10),sK57))
| ~ ssList(app(sK8(cons(sK57,iPr_def_10),sK57),X0)) ),
inference(light_normalisation,[status(thm)],[c_66655,c_66615]) ).
tcf(c_66702,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,iPr_def_10),sK57),X0),sK8(cons(sK57,iPr_def_10),sK57))
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_10),sK57))
| ~ ssList(app(sK8(cons(sK57,iPr_def_10),sK57),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66701,c_141]) ).
tcf(c_66750,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK8(X0,X1)),sK59) = app(sK58,app(sK8(X0,X1),sK59)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_63529]) ).
tcf(c_66751,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK9(X0,X1)),sK59) = app(sK58,app(sK9(X0,X1),sK59)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_63529]) ).
tcf(c_66752,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,app(X0,X1)),sK59) = app(sK58,app(app(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_63529]) ).
tcf(c_66753,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK11(X0,X1)),sK59) = app(sK58,app(sK11(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_63529]) ).
tcf(c_66754,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK12(X0,X1)),sK59) = app(sK58,app(sK12(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_63529]) ).
tcf(c_66755,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK13(X0,X1)),sK59) = app(sK58,app(sK13(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_63529]) ).
tcf(c_66756,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK14(X0,X1)),sK59) = app(sK58,app(sK14(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_63529]) ).
tcf(c_66766,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK58,sK34(X0)),sK59) = app(sK58,app(sK34(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_63529]) ).
tcf(c_66767,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK58,sK33(X0)),sK59) = app(sK58,app(sK33(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_63529]) ).
tcf(c_66768,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK58,sK32(X0)),sK59) = app(sK58,app(sK32(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_63529]) ).
tcf(c_66769,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK58,sK39(X0)),sK59) = app(sK58,app(sK39(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_63529]) ).
tcf(c_66770,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK58,sK38(X0)),sK59) = app(sK58,app(sK38(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_63529]) ).
tcf(c_66771,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK58,sK37(X0)),sK59) = app(sK58,app(sK37(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_63529]) ).
tcf(c_66772,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK58,sK44(X0)),sK59) = app(sK58,app(sK44(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_63529]) ).
tcf(c_66773,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK58,sK43(X0)),sK59) = app(sK58,app(sK43(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_63529]) ).
tcf(c_66774,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK58,sK42(X0)),sK59) = app(sK58,app(sK42(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_63529]) ).
tcf(c_66775,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK58,sK48(X0)),sK59) = app(sK58,app(sK48(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_63529]) ).
tcf(c_66776,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK58,sK47(X0)),sK59) = app(sK58,app(sK47(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_63529]) ).
tcf(c_66777,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,cons(X0,X1)),sK59) = app(sK58,app(cons(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_63529]) ).
tcf(c_66778,plain,
app(app(sK58,nil),sK59) = app(sK58,app(nil,sK59)),
inference(superposition,[status(thm)],[c_141,c_63529]) ).
tcf(c_66779,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK58,sK49(X0)),sK59) = app(sK58,app(sK49(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_63529]) ).
tcf(c_66780,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK58,tl(X0)),sK59) = app(sK58,app(tl(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_63529]) ).
tcf(c_66781,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK58,sK52(X0)),sK59) = app(sK58,app(sK52(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_63529]) ).
tcf(c_66782,plain,
app(app(sK58,sK59),sK59) = app(sK58,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_8916,c_63529]) ).
tcf(c_66783,plain,
app(app(sK58,sK58),sK59) = app(sK58,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_8915,c_63529]) ).
tcf(c_66784,plain,
app(app(sK58,sK56),sK59) = app(sK58,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_8907,c_63529]) ).
tcf(c_66785,plain,
app(app(sK58,iPr_def_12),sK59) = app(sK58,app(iPr_def_12,sK59)),
inference(superposition,[status(thm)],[c_12842,c_63529]) ).
tcf(c_66786,plain,
app(app(sK58,iPr_def_11),sK59) = app(sK58,app(iPr_def_11,sK59)),
inference(superposition,[status(thm)],[c_12706,c_63529]) ).
tcf(c_66787,plain,
app(app(sK58,iPr_def_10),sK59) = app(sK58,app(iPr_def_10,sK59)),
inference(superposition,[status(thm)],[c_18245,c_63529]) ).
tcf(c_66788,plain,
app(app(sK58,cons(sK57,sK59)),sK59) = app(sK58,app(cons(sK57,sK59),sK59)),
inference(superposition,[status(thm)],[c_38491,c_63529]) ).
tcf(c_66789,plain,
app(app(sK58,cons(sK57,sK58)),sK59) = app(sK58,app(cons(sK57,sK58),sK59)),
inference(superposition,[status(thm)],[c_42438,c_63529]) ).
tcf(c_66790,plain,
app(app(sK58,cons(sK57,sK56)),sK59) = app(sK58,app(cons(sK57,sK56),sK59)),
inference(superposition,[status(thm)],[c_45721,c_63529]) ).
tcf(c_66791,plain,
( ( nil = sK59 )
| ( app(app(sK58,tl(sK59)),sK59) = app(sK58,app(tl(sK59),sK59)) ) ),
inference(superposition,[status(thm)],[c_15329,c_63529]) ).
tcf(c_66792,plain,
( ( nil = sK58 )
| ( app(app(sK58,tl(sK58)),sK59) = app(sK58,app(tl(sK58),sK59)) ) ),
inference(superposition,[status(thm)],[c_15365,c_63529]) ).
tcf(c_66793,plain,
( ( nil = sK56 )
| ( app(app(sK58,tl(sK56)),sK59) = app(sK58,app(tl(sK56),sK59)) ) ),
inference(superposition,[status(thm)],[c_15756,c_63529]) ).
tcf(c_66794,plain,
app(app(sK58,tl(iPr_def_12)),sK59) = app(sK58,app(tl(iPr_def_12),sK59)),
inference(superposition,[status(thm)],[c_19014,c_63529]) ).
tcf(c_66795,plain,
app(app(sK58,cons(sK57,iPr_def_10)),sK59) = app(sK58,app(cons(sK57,iPr_def_10),sK59)),
inference(superposition,[status(thm)],[c_59801,c_63529]) ).
tcf(c_66796,plain,
app(app(sK58,cons(sK57,app(sK59,sK59))),sK59) = app(sK58,app(cons(sK57,app(sK59,sK59)),sK59)),
inference(superposition,[status(thm)],[c_38541,c_63529]) ).
tcf(c_66797,plain,
app(app(sK58,cons(sK57,app(sK58,sK59))),sK59) = app(sK58,app(cons(sK57,app(sK58,sK59)),sK59)),
inference(superposition,[status(thm)],[c_42487,c_63529]) ).
tcf(c_66798,plain,
app(app(sK58,cons(sK57,app(sK56,sK59))),sK59) = app(sK58,app(cons(sK57,app(sK56,sK59)),sK59)),
inference(superposition,[status(thm)],[c_45773,c_63529]) ).
tcf(c_66799,plain,
app(app(sK58,cons(sK57,app(sK59,sK58))),sK59) = app(sK58,app(cons(sK57,app(sK59,sK58)),sK59)),
inference(superposition,[status(thm)],[c_41763,c_63529]) ).
tcf(c_66800,plain,
app(app(sK58,cons(sK57,app(sK58,sK58))),sK59) = app(sK58,app(cons(sK57,app(sK58,sK58)),sK59)),
inference(superposition,[status(thm)],[c_43212,c_63529]) ).
tcf(c_66801,plain,
app(app(sK58,cons(sK57,app(sK56,sK58))),sK59) = app(sK58,app(cons(sK57,app(sK56,sK58)),sK59)),
inference(superposition,[status(thm)],[c_45770,c_63529]) ).
tcf(c_66802,plain,
app(app(sK58,cons(sK57,app(sK59,sK56))),sK59) = app(sK58,app(cons(sK57,app(sK59,sK56)),sK59)),
inference(superposition,[status(thm)],[c_45369,c_63529]) ).
tcf(c_66803,plain,
app(app(sK58,cons(sK57,app(sK58,sK56))),sK59) = app(sK58,app(cons(sK57,app(sK58,sK56)),sK59)),
inference(superposition,[status(thm)],[c_46410,c_63529]) ).
tcf(c_66804,plain,
app(app(sK58,cons(sK57,app(sK56,sK56))),sK59) = app(sK58,app(cons(sK57,app(sK56,sK56)),sK59)),
inference(superposition,[status(thm)],[c_46972,c_63529]) ).
tcf(c_66805,plain,
( ( app(app(sK58,app(sK59,app(sK59,sK59))),sK59) = app(sK58,app(app(sK59,app(sK59,sK59)),sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_63529]) ).
tcf(c_66806,plain,
( ( app(app(sK58,app(sK59,app(sK58,sK59))),sK59) = app(sK58,app(app(sK59,app(sK58,sK59)),sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_63529]) ).
tcf(c_66807,plain,
( ( app(app(sK58,app(sK59,app(sK56,sK59))),sK59) = app(sK58,app(app(sK59,app(sK56,sK59)),sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_63529]) ).
tcf(c_66808,plain,
app(sK58,cons(sK57,sK59)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_66786,c_8904,c_18265,c_37883]) ).
tcf(c_66809,plain,
app(app(sK58,iPr_def_12),sK59) = app(sK58,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_66785,c_18265]) ).
tcf(c_66811,plain,
app(app(sK58,cons(sK57,iPr_def_10)),sK59) = app(sK58,cons(sK57,app(iPr_def_10,sK59))),
inference(light_normalisation,[status(thm)],[c_66795,c_37876]) ).
tcf(c_66812,plain,
app(app(sK58,cons(sK57,sK56)),sK59) = app(sK58,cons(sK57,app(sK56,sK59))),
inference(light_normalisation,[status(thm)],[c_66790,c_37873]) ).
tcf(c_66813,plain,
app(app(sK58,cons(sK57,sK58)),sK59) = app(sK58,cons(sK57,app(sK58,sK59))),
inference(light_normalisation,[status(thm)],[c_66789,c_37872]) ).
tcf(c_66814,plain,
app(app(sK58,cons(sK57,sK59)),sK59) = app(sK58,cons(sK57,app(sK59,sK59))),
inference(light_normalisation,[status(thm)],[c_66788,c_37871]) ).
tcf(c_67187,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK59,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(app(app(sK58,sK59),sK59),X0)) ),
inference(superposition,[status(thm)],[c_66782,c_67]) ).
tcf(c_67190,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK58,sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK59))
| ~ memberP(app(sK58,app(sK59,sK59)),X0) ),
inference(superposition,[status(thm)],[c_66782,c_167]) ).
tcf(c_67191,plain,
( ( app(sK58,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_66782,c_231]) ).
tcf(c_67192,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_66782,c_230]) ).
tcf(c_67193,plain,
( frontsegP(app(sK58,app(sK59,sK59)),app(sK58,sK59))
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_66782,c_382]) ).
tcf(c_67194,plain,
( rearsegP(app(sK58,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_66782,c_379]) ).
tcf(c_67195,plain,
( ssList(app(sK58,app(sK59,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_66782,c_153]) ).
tcf(c_67196,plain,
! [X0: $i] :
( ( app(sK58,sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK59)) != app(X0,sK59) ) ),
inference(superposition,[status(thm)],[c_66782,c_225]) ).
tcf(c_67197,plain,
( segmentP(app(sK58,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(app(sK58,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_66782,c_67]) ).
tcf(c_67198,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ( app(app(sK58,sK59),X0) != app(sK58,app(sK59,sK59)) ) ),
inference(superposition,[status(thm)],[c_66782,c_226]) ).
tcf(c_67199,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ~ frontsegP(app(sK58,sK59),X0) ),
inference(superposition,[status(thm)],[c_66782,c_176]) ).
tcf(c_67200,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK59))
| ~ memberP(app(sK58,sK59),X0) ),
inference(superposition,[status(thm)],[c_66782,c_165]) ).
tcf(c_67201,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK59,sK59)),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_66782,c_193]) ).
tcf(c_67202,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_66782,c_186]) ).
tcf(c_67203,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_66782,c_166]) ).
tcf(c_67204,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_66782,c_193]) ).
tcf(c_67205,plain,
( ( app(sK58,sK59) = iPr_def_11 )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_66782,c_38527]) ).
tcf(c_67206,plain,
( ( app(sK58,sK59) = iPr_def_12 )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_66782,c_25223]) ).
tcf(c_67207,plain,
( ( app(sK58,sK59) = nil )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_66782,c_25211]) ).
tcf(c_67208,plain,
( ssList(app(sK58,app(sK59,sK59)))
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67195,c_8916]) ).
tcf(c_67211,plain,
( rearsegP(app(sK58,app(sK59,sK59)),sK59)
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67194,c_8916]) ).
tcf(c_67214,plain,
( frontsegP(app(sK58,app(sK59,sK59)),app(sK58,sK59))
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67193,c_8916]) ).
tcf(c_67223,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67204,c_8916,c_8915]) ).
tcf(c_67227,plain,
( segmentP(app(sK58,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(sK58,app(sK59,sK59))) ),
inference(light_normalisation,[status(thm)],[c_67197,c_66782]) ).
tcf(c_67228,plain,
( segmentP(app(sK58,app(sK59,sK59)),sK59)
| ~ ssList(app(sK58,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67227,c_8916,c_8915]) ).
tcf(c_67231,plain,
( ( nil = sK59 )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67192,c_8916]) ).
tcf(c_67238,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67203,c_8916]) ).
tcf(c_67243,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67202,c_8916]) ).
tcf(c_67248,plain,
( ( app(sK58,sK59) = nil )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67191,c_8916]) ).
tcf(c_67252,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK59))
| ~ memberP(app(sK58,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67200,c_8916]) ).
tcf(c_67257,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ~ frontsegP(app(sK58,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67199,c_8916]) ).
tcf(c_67262,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK59,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67201,c_8916]) ).
tcf(c_67268,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK58,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK59))
| ~ memberP(app(sK58,app(sK59,sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67190,c_8916]) ).
tcf(c_67274,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ( app(app(sK58,sK59),X0) != app(sK58,app(sK59,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67198,c_8916]) ).
tcf(c_67279,plain,
! [X0: $i] :
( ( app(sK58,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67196,c_8916]) ).
tcf(c_67284,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK59,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(app(sK58,app(sK59,sK59)),X0)) ),
inference(light_normalisation,[status(thm)],[c_67187,c_66782]) ).
tcf(c_67285,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK59,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(app(sK58,app(sK59,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67284,c_8916]) ).
tcf(c_67578,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK58,app(sK59,sK59))) = app(X0,app(X1,app(sK58,app(sK59,sK59)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_228]) ).
tcf(c_67579,plain,
( ( app(app(sK58,app(sK58,app(sK59,sK59))),sK59) = app(sK58,app(app(sK58,app(sK59,sK59)),sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_63529]) ).
tcf(c_67580,plain,
( ( app(app(sK59,app(sK58,app(sK59,sK59))),sK59) = app(sK59,app(app(sK58,app(sK59,sK59)),sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_63528]) ).
tcf(c_67581,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK59,sK59)),X0),sK59) = app(app(sK58,app(sK59,sK59)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_22629]) ).
tcf(c_67582,plain,
( ( hd(app(iPr_def_11,app(sK58,app(sK59,sK59)))) = sK57 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_19198]) ).
tcf(c_67583,plain,
( ( hd(cons(sK60,app(sK58,app(sK59,sK59)))) = sK60 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_18952]) ).
tcf(c_67584,plain,
( ( tl(cons(sK60,app(sK58,app(sK59,sK59)))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_18951]) ).
tcf(c_67585,plain,
( ( cons(sK57,app(app(sK58,app(sK59,sK59)),sK56)) = app(cons(sK57,app(sK58,app(sK59,sK59))),sK56) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_37365]) ).
tcf(c_67586,plain,
( ( tl(cons(sK7,app(sK58,app(sK59,sK59)))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_13978]) ).
tcf(c_67587,plain,
( ( tl(cons(sK6,app(sK58,app(sK59,sK59)))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_13977]) ).
tcf(c_67588,plain,
( ( cons(sK57,app(app(sK58,app(sK59,sK59)),sK58)) = app(cons(sK57,app(sK58,app(sK59,sK59))),sK58) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_37364]) ).
tcf(c_67589,plain,
( ( hd(cons(sK7,app(sK58,app(sK59,sK59)))) = sK7 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_13802]) ).
tcf(c_67590,plain,
( ( hd(cons(sK6,app(sK58,app(sK59,sK59)))) = sK6 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_13801]) ).
tcf(c_67591,plain,
( ( cons(sK57,app(app(sK58,app(sK59,sK59)),sK59)) = app(cons(sK57,app(sK58,app(sK59,sK59))),sK59) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_37363]) ).
tcf(c_67592,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK58,app(sK59,sK59)))) = app(cons(sK57,X0),app(sK58,app(sK59,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_22147]) ).
tcf(c_67593,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK58,app(sK59,sK59))) = tl(app(sK56,app(sK58,app(sK59,sK59)))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_21660]) ).
tcf(c_67594,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK58,app(sK59,sK59))) = tl(app(sK58,app(sK58,app(sK59,sK59)))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_21659]) ).
tcf(c_67595,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK58,app(sK59,sK59))) = tl(app(sK59,app(sK58,app(sK59,sK59)))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_21658]) ).
tcf(c_67596,plain,
( duplicatefreeP(app(sK58,app(sK59,sK59)))
| ( app(app(sK42(app(sK58,app(sK59,sK59))),cons(sK40(app(sK58,app(sK59,sK59))),sK43(app(sK58,app(sK59,sK59))))),cons(sK41(app(sK58,app(sK59,sK59))),sK44(app(sK58,app(sK59,sK59))))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_124]) ).
tcf(c_67597,plain,
( strictorderedP(app(sK58,app(sK59,sK59)))
| ( app(app(sK37(app(sK58,app(sK59,sK59))),cons(sK35(app(sK58,app(sK59,sK59))),sK38(app(sK58,app(sK59,sK59))))),cons(sK36(app(sK58,app(sK59,sK59))),sK39(app(sK58,app(sK59,sK59))))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_116]) ).
tcf(c_67598,plain,
( totalorderedP(app(sK58,app(sK59,sK59)))
| ( app(app(sK32(app(sK58,app(sK59,sK59))),cons(sK30(app(sK58,app(sK59,sK59))),sK33(app(sK58,app(sK59,sK59))))),cons(sK31(app(sK58,app(sK59,sK59))),sK34(app(sK58,app(sK59,sK59))))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_108]) ).
tcf(c_67599,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK58,app(sK59,sK59)))) = hd(sK56) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_19187]) ).
tcf(c_67600,plain,
! [X0: $i] :
( ( app(sK58,app(sK59,sK59)) = nil )
| ( app(tl(app(sK58,app(sK59,sK59))),X0) = tl(app(app(sK58,app(sK59,sK59)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_234]) ).
tcf(c_67601,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK58,app(sK59,sK59)))) = hd(sK58) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_19186]) ).
tcf(c_67602,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK58,app(sK59,sK59)))) = hd(sK59) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_19185]) ).
tcf(c_67603,plain,
( equalelemsP(app(sK58,app(sK59,sK59)))
| ( app(sK47(app(sK58,app(sK59,sK59))),cons(sK45(app(sK58,app(sK59,sK59))),cons(sK46(app(sK58,app(sK59,sK59))),sK48(app(sK58,app(sK59,sK59)))))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_132]) ).
tcf(c_67604,plain,
! [X0: $i] :
( ( app(sK58,app(sK59,sK59)) = nil )
| ( hd(app(app(sK58,app(sK59,sK59)),X0)) = hd(app(sK58,app(sK59,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_233]) ).
tcf(c_67605,plain,
( ( app(sK58,app(sK59,sK59)) = nil )
| ( cons(hd(app(sK58,app(sK59,sK59))),tl(app(sK58,app(sK59,sK59)))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_224]) ).
tcf(c_67606,plain,
( ( app(sK58,app(sK59,sK59)) = nil )
| ( cons(sK50(app(sK58,app(sK59,sK59))),sK49(app(sK58,app(sK59,sK59)))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_147]) ).
tcf(c_67607,plain,
( ( tl(cons(sK57,app(sK58,app(sK59,sK59)))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_13997]) ).
tcf(c_67608,plain,
( ( hd(cons(sK57,app(sK58,app(sK59,sK59)))) = sK57 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_13821]) ).
tcf(c_67609,plain,
( ( app(sK58,app(sK59,sK59)) = nil )
| ( tl(app(sK58,app(sK59,sK59))) = sK52(app(sK58,app(sK59,sK59))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_222]) ).
tcf(c_67610,plain,
( ( app(sK58,app(sK59,sK59)) = nil )
| ( hd(app(sK58,app(sK59,sK59))) = sK51(app(sK58,app(sK59,sK59))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_220]) ).
tcf(c_67611,plain,
( duplicatefreeP(app(sK58,app(sK59,sK59)))
| ( sK40(app(sK58,app(sK59,sK59))) = sK41(app(sK58,app(sK59,sK59))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_123]) ).
tcf(c_67612,plain,
( ( app(app(sK58,app(sK59,sK59)),nil) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_232]) ).
tcf(c_67613,plain,
( ( app(nil,app(sK58,app(sK59,sK59))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_155]) ).
tcf(c_67714,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK58,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(app(app(sK58,sK58),sK59),X0)) ),
inference(superposition,[status(thm)],[c_66783,c_67]) ).
tcf(c_67717,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK58,sK58),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ memberP(app(sK58,app(sK58,sK59)),X0) ),
inference(superposition,[status(thm)],[c_66783,c_167]) ).
tcf(c_67718,plain,
( ( app(sK58,sK58) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_66783,c_231]) ).
tcf(c_67719,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_66783,c_230]) ).
tcf(c_67720,plain,
( frontsegP(app(sK58,app(sK58,sK59)),app(sK58,sK58))
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_66783,c_382]) ).
tcf(c_67721,plain,
( rearsegP(app(sK58,app(sK58,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_66783,c_379]) ).
tcf(c_67722,plain,
( ssList(app(sK58,app(sK58,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_66783,c_153]) ).
tcf(c_67723,plain,
! [X0: $i] :
( ( app(sK58,sK58) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK59)) != app(X0,sK59) ) ),
inference(superposition,[status(thm)],[c_66783,c_225]) ).
tcf(c_67724,plain,
( segmentP(app(sK58,app(sK58,sK59)),sK58)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(app(sK58,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_66783,c_67]) ).
tcf(c_67725,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ( app(app(sK58,sK58),X0) != app(sK58,app(sK58,sK59)) ) ),
inference(superposition,[status(thm)],[c_66783,c_226]) ).
tcf(c_67726,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ~ frontsegP(app(sK58,sK58),X0) ),
inference(superposition,[status(thm)],[c_66783,c_176]) ).
tcf(c_67727,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ memberP(app(sK58,sK58),X0) ),
inference(superposition,[status(thm)],[c_66783,c_165]) ).
tcf(c_67728,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK58,sK59)),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_66783,c_193]) ).
tcf(c_67729,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_66783,c_186]) ).
tcf(c_67730,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_66783,c_166]) ).
tcf(c_67731,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_66783,c_193]) ).
tcf(c_67732,plain,
( ( app(sK58,sK58) = iPr_def_11 )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_66783,c_38527]) ).
tcf(c_67733,plain,
( ( app(sK58,sK58) = iPr_def_12 )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_66783,c_25223]) ).
tcf(c_67734,plain,
( ( app(sK58,sK58) = nil )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_66783,c_25211]) ).
tcf(c_67735,plain,
( ssList(app(sK58,app(sK58,sK59)))
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67722,c_8916]) ).
tcf(c_67738,plain,
( rearsegP(app(sK58,app(sK58,sK59)),sK59)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67721,c_8916]) ).
tcf(c_67741,plain,
( frontsegP(app(sK58,app(sK58,sK59)),app(sK58,sK58))
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67720,c_8916]) ).
tcf(c_67750,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67731,c_8916,c_8915]) ).
tcf(c_67754,plain,
( segmentP(app(sK58,app(sK58,sK59)),sK58)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(sK58,app(sK58,sK59))) ),
inference(light_normalisation,[status(thm)],[c_67724,c_66783]) ).
tcf(c_67755,plain,
( segmentP(app(sK58,app(sK58,sK59)),sK58)
| ~ ssList(app(sK58,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67754,c_8916,c_8915]) ).
tcf(c_67758,plain,
( ( nil = sK59 )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67719,c_8916]) ).
tcf(c_67765,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK58,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67730,c_8916]) ).
tcf(c_67770,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67729,c_8916]) ).
tcf(c_67775,plain,
( ( app(sK58,sK58) = nil )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67718,c_8916]) ).
tcf(c_67779,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK58,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ memberP(app(sK58,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67727,c_8916]) ).
tcf(c_67784,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ~ frontsegP(app(sK58,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67726,c_8916]) ).
tcf(c_67789,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK58,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67728,c_8916]) ).
tcf(c_67795,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK58,sK58),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ memberP(app(sK58,app(sK58,sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67717,c_8916]) ).
tcf(c_67801,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ( app(app(sK58,sK58),X0) != app(sK58,app(sK58,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67725,c_8916]) ).
tcf(c_67806,plain,
! [X0: $i] :
( ( app(sK58,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67723,c_8916]) ).
tcf(c_67811,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK58,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(app(sK58,app(sK58,sK59)),X0)) ),
inference(light_normalisation,[status(thm)],[c_67714,c_66783]) ).
tcf(c_67812,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK58,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(app(sK58,app(sK58,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67811,c_8916]) ).
tcf(c_67856,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK58,app(sK58,sK59))) = app(X0,app(X1,app(sK58,app(sK58,sK59)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_228]) ).
tcf(c_67857,plain,
( ( app(app(sK58,app(sK58,app(sK58,sK59))),sK59) = app(sK58,app(app(sK58,app(sK58,sK59)),sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_63529]) ).
tcf(c_67858,plain,
( ( app(app(sK59,app(sK58,app(sK58,sK59))),sK59) = app(sK59,app(app(sK58,app(sK58,sK59)),sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_63528]) ).
tcf(c_67859,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK58,sK59)),X0),sK59) = app(app(sK58,app(sK58,sK59)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_22629]) ).
tcf(c_67860,plain,
( ( hd(app(iPr_def_11,app(sK58,app(sK58,sK59)))) = sK57 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_19198]) ).
tcf(c_67861,plain,
( ( hd(cons(sK60,app(sK58,app(sK58,sK59)))) = sK60 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_18952]) ).
tcf(c_67862,plain,
( ( tl(cons(sK60,app(sK58,app(sK58,sK59)))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_18951]) ).
tcf(c_67863,plain,
( ( cons(sK57,app(app(sK58,app(sK58,sK59)),sK56)) = app(cons(sK57,app(sK58,app(sK58,sK59))),sK56) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_37365]) ).
tcf(c_67864,plain,
( ( tl(cons(sK7,app(sK58,app(sK58,sK59)))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_13978]) ).
tcf(c_67865,plain,
( ( tl(cons(sK6,app(sK58,app(sK58,sK59)))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_13977]) ).
tcf(c_67866,plain,
( ( cons(sK57,app(app(sK58,app(sK58,sK59)),sK58)) = app(cons(sK57,app(sK58,app(sK58,sK59))),sK58) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_37364]) ).
tcf(c_67867,plain,
( ( hd(cons(sK7,app(sK58,app(sK58,sK59)))) = sK7 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_13802]) ).
tcf(c_67868,plain,
( ( hd(cons(sK6,app(sK58,app(sK58,sK59)))) = sK6 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_13801]) ).
tcf(c_67869,plain,
( ( cons(sK57,app(app(sK58,app(sK58,sK59)),sK59)) = app(cons(sK57,app(sK58,app(sK58,sK59))),sK59) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_37363]) ).
tcf(c_67870,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK58,app(sK58,sK59)))) = app(cons(sK57,X0),app(sK58,app(sK58,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_22147]) ).
tcf(c_67871,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK58,app(sK58,sK59))) = tl(app(sK56,app(sK58,app(sK58,sK59)))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_21660]) ).
tcf(c_67872,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK58,app(sK58,sK59))) = tl(app(sK58,app(sK58,app(sK58,sK59)))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_21659]) ).
tcf(c_67873,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK58,app(sK58,sK59))) = tl(app(sK59,app(sK58,app(sK58,sK59)))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_21658]) ).
tcf(c_67874,plain,
( duplicatefreeP(app(sK58,app(sK58,sK59)))
| ( app(app(sK42(app(sK58,app(sK58,sK59))),cons(sK40(app(sK58,app(sK58,sK59))),sK43(app(sK58,app(sK58,sK59))))),cons(sK41(app(sK58,app(sK58,sK59))),sK44(app(sK58,app(sK58,sK59))))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_124]) ).
tcf(c_67875,plain,
( strictorderedP(app(sK58,app(sK58,sK59)))
| ( app(app(sK37(app(sK58,app(sK58,sK59))),cons(sK35(app(sK58,app(sK58,sK59))),sK38(app(sK58,app(sK58,sK59))))),cons(sK36(app(sK58,app(sK58,sK59))),sK39(app(sK58,app(sK58,sK59))))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_116]) ).
tcf(c_67876,plain,
( totalorderedP(app(sK58,app(sK58,sK59)))
| ( app(app(sK32(app(sK58,app(sK58,sK59))),cons(sK30(app(sK58,app(sK58,sK59))),sK33(app(sK58,app(sK58,sK59))))),cons(sK31(app(sK58,app(sK58,sK59))),sK34(app(sK58,app(sK58,sK59))))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_108]) ).
tcf(c_67877,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK58,app(sK58,sK59)))) = hd(sK56) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_19187]) ).
tcf(c_67878,plain,
! [X0: $i] :
( ( app(sK58,app(sK58,sK59)) = nil )
| ( app(tl(app(sK58,app(sK58,sK59))),X0) = tl(app(app(sK58,app(sK58,sK59)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_234]) ).
tcf(c_67879,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK58,app(sK58,sK59)))) = hd(sK58) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_19186]) ).
tcf(c_67880,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK58,app(sK58,sK59)))) = hd(sK59) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_19185]) ).
tcf(c_67881,plain,
( equalelemsP(app(sK58,app(sK58,sK59)))
| ( app(sK47(app(sK58,app(sK58,sK59))),cons(sK45(app(sK58,app(sK58,sK59))),cons(sK46(app(sK58,app(sK58,sK59))),sK48(app(sK58,app(sK58,sK59)))))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_132]) ).
tcf(c_67882,plain,
! [X0: $i] :
( ( app(sK58,app(sK58,sK59)) = nil )
| ( hd(app(app(sK58,app(sK58,sK59)),X0)) = hd(app(sK58,app(sK58,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_233]) ).
tcf(c_67883,plain,
( ( app(sK58,app(sK58,sK59)) = nil )
| ( cons(hd(app(sK58,app(sK58,sK59))),tl(app(sK58,app(sK58,sK59)))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_224]) ).
tcf(c_67884,plain,
( ( app(sK58,app(sK58,sK59)) = nil )
| ( cons(sK50(app(sK58,app(sK58,sK59))),sK49(app(sK58,app(sK58,sK59)))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_147]) ).
tcf(c_67885,plain,
( ( tl(cons(sK57,app(sK58,app(sK58,sK59)))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_13997]) ).
tcf(c_67886,plain,
( ( hd(cons(sK57,app(sK58,app(sK58,sK59)))) = sK57 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_13821]) ).
tcf(c_67887,plain,
( ( app(sK58,app(sK58,sK59)) = nil )
| ( tl(app(sK58,app(sK58,sK59))) = sK52(app(sK58,app(sK58,sK59))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_222]) ).
tcf(c_67888,plain,
( ( app(sK58,app(sK58,sK59)) = nil )
| ( hd(app(sK58,app(sK58,sK59))) = sK51(app(sK58,app(sK58,sK59))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_220]) ).
tcf(c_67889,plain,
( duplicatefreeP(app(sK58,app(sK58,sK59)))
| ( sK40(app(sK58,app(sK58,sK59))) = sK41(app(sK58,app(sK58,sK59))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_123]) ).
tcf(c_67890,plain,
( ( app(app(sK58,app(sK58,sK59)),nil) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_232]) ).
tcf(c_67891,plain,
( ( app(nil,app(sK58,app(sK58,sK59))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_155]) ).
tcf(c_68189,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK56,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(app(app(sK58,sK56),sK59),X0)) ),
inference(superposition,[status(thm)],[c_66784,c_67]) ).
tcf(c_68192,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK58,sK56),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ memberP(app(sK58,app(sK56,sK59)),X0) ),
inference(superposition,[status(thm)],[c_66784,c_167]) ).
tcf(c_68193,plain,
( ( app(sK58,sK56) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_66784,c_231]) ).
tcf(c_68194,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_66784,c_230]) ).
tcf(c_68195,plain,
( frontsegP(app(sK58,app(sK56,sK59)),app(sK58,sK56))
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_66784,c_382]) ).
tcf(c_68196,plain,
( rearsegP(app(sK58,app(sK56,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_66784,c_379]) ).
tcf(c_68197,plain,
( ssList(app(sK58,app(sK56,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_66784,c_153]) ).
tcf(c_68198,plain,
! [X0: $i] :
( ( app(sK58,sK56) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK59)) != app(X0,sK59) ) ),
inference(superposition,[status(thm)],[c_66784,c_225]) ).
tcf(c_68199,plain,
( segmentP(app(sK58,app(sK56,sK59)),sK56)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(app(sK58,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_66784,c_67]) ).
tcf(c_68200,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ( app(app(sK58,sK56),X0) != app(sK58,app(sK56,sK59)) ) ),
inference(superposition,[status(thm)],[c_66784,c_226]) ).
tcf(c_68201,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ~ frontsegP(app(sK58,sK56),X0) ),
inference(superposition,[status(thm)],[c_66784,c_176]) ).
tcf(c_68202,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ memberP(app(sK58,sK56),X0) ),
inference(superposition,[status(thm)],[c_66784,c_165]) ).
tcf(c_68203,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK56,sK59)),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_66784,c_193]) ).
tcf(c_68204,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_66784,c_186]) ).
tcf(c_68205,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_66784,c_166]) ).
tcf(c_68206,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK56,sK59)),X0)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_66784,c_193]) ).
tcf(c_68207,plain,
( ( app(sK58,sK56) = iPr_def_11 )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_66784,c_38527]) ).
tcf(c_68208,plain,
( ( app(sK58,sK56) = iPr_def_12 )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_66784,c_25223]) ).
tcf(c_68209,plain,
( ( app(sK58,sK56) = nil )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_66784,c_25211]) ).
tcf(c_68210,plain,
( ssList(app(sK58,app(sK56,sK59)))
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68197,c_8916]) ).
tcf(c_68213,plain,
( rearsegP(app(sK58,app(sK56,sK59)),sK59)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68196,c_8916]) ).
tcf(c_68216,plain,
( frontsegP(app(sK58,app(sK56,sK59)),app(sK58,sK56))
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68195,c_8916]) ).
tcf(c_68225,plain,
( ( nil = sK59 )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68194,c_8916]) ).
tcf(c_68232,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK56,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68205,c_8916]) ).
tcf(c_68237,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68204,c_8916]) ).
tcf(c_68242,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68206,c_8907,c_8916,c_8915]) ).
tcf(c_68246,plain,
( segmentP(app(sK58,app(sK56,sK59)),sK56)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(sK58,app(sK56,sK59))) ),
inference(light_normalisation,[status(thm)],[c_68199,c_66784]) ).
tcf(c_68247,plain,
( segmentP(app(sK58,app(sK56,sK59)),sK56)
| ~ ssList(app(sK58,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68246,c_8907,c_8916,c_8915]) ).
tcf(c_68250,plain,
( ( app(sK58,sK56) = nil )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68193,c_8916]) ).
tcf(c_68254,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK56,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ memberP(app(sK58,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68202,c_8916]) ).
tcf(c_68259,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ~ frontsegP(app(sK58,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68201,c_8916]) ).
tcf(c_68264,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK56,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68203,c_8916]) ).
tcf(c_68270,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK58,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ memberP(app(sK58,app(sK56,sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68192,c_8916]) ).
tcf(c_68276,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ( app(app(sK58,sK56),X0) != app(sK58,app(sK56,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68200,c_8916]) ).
tcf(c_68281,plain,
! [X0: $i] :
( ( app(sK58,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68198,c_8916]) ).
tcf(c_68286,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK56,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(app(sK58,app(sK56,sK59)),X0)) ),
inference(light_normalisation,[status(thm)],[c_68189,c_66784]) ).
tcf(c_68287,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK56,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(app(sK58,app(sK56,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68286,c_8916]) ).
tcf(c_68418,plain,
( duplicatefreeP(nil)
| ( sK40(nil) = sK41(nil) ) ),
inference(light_normalisation,[status(thm)],[c_14619,c_14848]) ).
tcf(c_68447,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(iPr_def_10,cons(X0,X1)))
| ~ strictorderedP(app(app(sK58,cons(sK57,sK59)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_66808,c_122]) ).
tcf(c_68448,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(iPr_def_10,cons(X0,X1)))
| ~ totalorderedP(app(app(sK58,cons(sK57,sK59)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_66808,c_114]) ).
tcf(c_68449,plain,
! [X0: $i] :
( ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,cons(sK57,X0)))
| ~ duplicatefreeP(app(app(sK58,cons(sK57,sK59)),cons(sK57,X0))) ),
inference(superposition,[status(thm)],[c_66808,c_130]) ).
tcf(c_68454,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),cons(sK57,sK59))
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(app(sK58,cons(sK57,sK59)),X0)) ),
inference(superposition,[status(thm)],[c_66808,c_67]) ).
tcf(c_68457,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(cons(sK57,sK59),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_66808,c_167]) ).
tcf(c_68461,plain,
( rearsegP(iPr_def_10,cons(sK57,sK59))
| ~ ssList(sK58)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_66808,c_379]) ).
tcf(c_68463,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(X0,cons(sK57,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_66808,c_225]) ).
tcf(c_68464,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ( app(sK58,X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_66808,c_226]) ).
tcf(c_68465,plain,
! [X0: $i] :
( frontsegP(iPr_def_10,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(sK58,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_66808,c_176]) ).
tcf(c_68466,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_66808,c_165]) ).
tcf(c_68467,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_66808,c_193]) ).
tcf(c_68468,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ rearsegP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_66808,c_186]) ).
tcf(c_68469,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(cons(sK57,sK59))
| ~ memberP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_66808,c_166]) ).
tcf(c_68470,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ~ ssList(cons(sK57,sK59))
| ( iPr_def_10 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_66808,c_25944]) ).
tcf(c_68471,plain,
( ( cons(sK57,sK59) = nil )
| ~ ssList(cons(sK57,sK59))
| ( sK58 != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_66808,c_25912]) ).
tcf(c_68475,plain,
rearsegP(iPr_def_10,cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_68461,c_8915,c_38491]) ).
tcf(c_68476,plain,
sK58 != iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_68471,c_38501,c_38491]) ).
tcf(c_68477,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ( iPr_def_10 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68470,c_38491]) ).
tcf(c_68482,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68469,c_8915,c_38491]) ).
tcf(c_68486,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ rearsegP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68468,c_8915,c_38491]) ).
tcf(c_68490,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(cons(sK57,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68457,c_8915,c_38491]) ).
tcf(c_68495,plain,
! [X0: $i] :
( ( cons(sK57,sK59) = X0 )
| ~ ssList(X0)
| ( app(sK58,X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68464,c_8915,c_38491]) ).
tcf(c_68499,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(X0,cons(sK57,sK59)) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68463,c_8915,c_38491]) ).
tcf(c_68503,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68467,c_8915,c_38491]) ).
tcf(c_68508,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),cons(sK57,sK59))
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(iPr_def_10,X0)) ),
inference(light_normalisation,[status(thm)],[c_68454,c_66808]) ).
tcf(c_68509,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),cons(sK57,sK59))
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68508,c_8915,c_38491]) ).
tcf(c_68531,plain,
! [X0: $i] :
( ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ duplicatefreeP(app(iPr_def_10,cons(sK57,X0)))
| ~ ssList(app(iPr_def_10,cons(sK57,X0))) ),
inference(light_normalisation,[status(thm)],[c_68449,c_66808]) ).
tcf(c_68532,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(iPr_def_10,cons(sK57,X0)))
| ~ ssList(app(iPr_def_10,cons(sK57,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68531,c_8916,c_8915,c_8914]) ).
tcf(c_68536,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(iPr_def_10,cons(X0,X1)))
| ~ ssList(app(iPr_def_10,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_68448,c_66808]) ).
tcf(c_68537,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(iPr_def_10,cons(X0,X1)))
| ~ ssList(app(iPr_def_10,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68536,c_8916,c_8915,c_8914]) ).
tcf(c_68543,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(iPr_def_10,cons(X0,X1)))
| ~ ssList(app(iPr_def_10,cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_68447,c_66808]) ).
tcf(c_68544,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(iPr_def_10,cons(X0,X1)))
| ~ ssList(app(iPr_def_10,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68543,c_8916,c_8915,c_8914]) ).
tcf(c_68550,plain,
~ segmentP(sK58,iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_53396,c_68476]) ).
tcf(c_68551,plain,
~ frontsegP(sK58,iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_52226,c_68476]) ).
tcf(c_68564,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ rearsegP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_68475,c_183]) ).
tcf(c_68565,plain,
( ( cons(sK57,sK59) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK57,sK59))
| ~ rearsegP(cons(sK57,sK59),iPr_def_10) ),
inference(superposition,[status(thm)],[c_68475,c_184]) ).
tcf(c_68566,plain,
( ( app(sK12(iPr_def_10,cons(sK57,sK59)),cons(sK57,sK59)) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_68475,c_66]) ).
tcf(c_68567,plain,
app(sK12(iPr_def_10,cons(sK57,sK59)),cons(sK57,sK59)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_68566,c_18245,c_38491]) ).
tcf(c_68568,plain,
( ( cons(sK57,sK59) = iPr_def_10 )
| ~ rearsegP(cons(sK57,sK59),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68565,c_18245,c_38491]) ).
tcf(c_68576,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK58,app(sK56,sK59))) = app(X0,app(X1,app(sK58,app(sK56,sK59)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_228]) ).
tcf(c_68577,plain,
( ( app(app(sK58,app(sK58,app(sK56,sK59))),sK59) = app(sK58,app(app(sK58,app(sK56,sK59)),sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_63529]) ).
tcf(c_68578,plain,
( ( app(app(sK59,app(sK58,app(sK56,sK59))),sK59) = app(sK59,app(app(sK58,app(sK56,sK59)),sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_63528]) ).
tcf(c_68579,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK56,sK59)),X0),sK59) = app(app(sK58,app(sK56,sK59)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_22629]) ).
tcf(c_68580,plain,
( ( hd(app(iPr_def_11,app(sK58,app(sK56,sK59)))) = sK57 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_19198]) ).
tcf(c_68581,plain,
( ( hd(cons(sK60,app(sK58,app(sK56,sK59)))) = sK60 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_18952]) ).
tcf(c_68582,plain,
( ( tl(cons(sK60,app(sK58,app(sK56,sK59)))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_18951]) ).
tcf(c_68583,plain,
( ( cons(sK57,app(app(sK58,app(sK56,sK59)),sK56)) = app(cons(sK57,app(sK58,app(sK56,sK59))),sK56) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_37365]) ).
tcf(c_68584,plain,
( ( tl(cons(sK7,app(sK58,app(sK56,sK59)))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_13978]) ).
tcf(c_68585,plain,
( ( tl(cons(sK6,app(sK58,app(sK56,sK59)))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_13977]) ).
tcf(c_68586,plain,
( ( cons(sK57,app(app(sK58,app(sK56,sK59)),sK58)) = app(cons(sK57,app(sK58,app(sK56,sK59))),sK58) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_37364]) ).
tcf(c_68587,plain,
( ( hd(cons(sK7,app(sK58,app(sK56,sK59)))) = sK7 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_13802]) ).
tcf(c_68588,plain,
( ( hd(cons(sK6,app(sK58,app(sK56,sK59)))) = sK6 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_13801]) ).
tcf(c_68589,plain,
( ( cons(sK57,app(app(sK58,app(sK56,sK59)),sK59)) = app(cons(sK57,app(sK58,app(sK56,sK59))),sK59) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_37363]) ).
tcf(c_68590,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK58,app(sK56,sK59)))) = app(cons(sK57,X0),app(sK58,app(sK56,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_22147]) ).
tcf(c_68591,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK58,app(sK56,sK59))) = tl(app(sK56,app(sK58,app(sK56,sK59)))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_21660]) ).
tcf(c_68592,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK58,app(sK56,sK59))) = tl(app(sK58,app(sK58,app(sK56,sK59)))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_21659]) ).
tcf(c_68593,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK58,app(sK56,sK59))) = tl(app(sK59,app(sK58,app(sK56,sK59)))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_21658]) ).
tcf(c_68594,plain,
( duplicatefreeP(app(sK58,app(sK56,sK59)))
| ( app(app(sK42(app(sK58,app(sK56,sK59))),cons(sK40(app(sK58,app(sK56,sK59))),sK43(app(sK58,app(sK56,sK59))))),cons(sK41(app(sK58,app(sK56,sK59))),sK44(app(sK58,app(sK56,sK59))))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_124]) ).
tcf(c_68595,plain,
( strictorderedP(app(sK58,app(sK56,sK59)))
| ( app(app(sK37(app(sK58,app(sK56,sK59))),cons(sK35(app(sK58,app(sK56,sK59))),sK38(app(sK58,app(sK56,sK59))))),cons(sK36(app(sK58,app(sK56,sK59))),sK39(app(sK58,app(sK56,sK59))))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_116]) ).
tcf(c_68596,plain,
( totalorderedP(app(sK58,app(sK56,sK59)))
| ( app(app(sK32(app(sK58,app(sK56,sK59))),cons(sK30(app(sK58,app(sK56,sK59))),sK33(app(sK58,app(sK56,sK59))))),cons(sK31(app(sK58,app(sK56,sK59))),sK34(app(sK58,app(sK56,sK59))))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_108]) ).
tcf(c_68597,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK58,app(sK56,sK59)))) = hd(sK56) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_19187]) ).
tcf(c_68598,plain,
! [X0: $i] :
( ( app(sK58,app(sK56,sK59)) = nil )
| ( app(tl(app(sK58,app(sK56,sK59))),X0) = tl(app(app(sK58,app(sK56,sK59)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_234]) ).
tcf(c_68599,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK58,app(sK56,sK59)))) = hd(sK58) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_19186]) ).
tcf(c_68600,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK58,app(sK56,sK59)))) = hd(sK59) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_19185]) ).
tcf(c_68601,plain,
( equalelemsP(app(sK58,app(sK56,sK59)))
| ( app(sK47(app(sK58,app(sK56,sK59))),cons(sK45(app(sK58,app(sK56,sK59))),cons(sK46(app(sK58,app(sK56,sK59))),sK48(app(sK58,app(sK56,sK59)))))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_132]) ).
tcf(c_68602,plain,
! [X0: $i] :
( ( app(sK58,app(sK56,sK59)) = nil )
| ( hd(app(app(sK58,app(sK56,sK59)),X0)) = hd(app(sK58,app(sK56,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_233]) ).
tcf(c_68603,plain,
( ( app(sK58,app(sK56,sK59)) = nil )
| ( cons(hd(app(sK58,app(sK56,sK59))),tl(app(sK58,app(sK56,sK59)))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_224]) ).
tcf(c_68604,plain,
( ( app(sK58,app(sK56,sK59)) = nil )
| ( cons(sK50(app(sK58,app(sK56,sK59))),sK49(app(sK58,app(sK56,sK59)))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_147]) ).
tcf(c_68605,plain,
( ( tl(cons(sK57,app(sK58,app(sK56,sK59)))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_13997]) ).
tcf(c_68606,plain,
( ( hd(cons(sK57,app(sK58,app(sK56,sK59)))) = sK57 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_13821]) ).
tcf(c_68607,plain,
( ( app(sK58,app(sK56,sK59)) = nil )
| ( tl(app(sK58,app(sK56,sK59))) = sK52(app(sK58,app(sK56,sK59))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_222]) ).
tcf(c_68608,plain,
( ( app(sK58,app(sK56,sK59)) = nil )
| ( hd(app(sK58,app(sK56,sK59))) = sK51(app(sK58,app(sK56,sK59))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_220]) ).
tcf(c_68609,plain,
( duplicatefreeP(app(sK58,app(sK56,sK59)))
| ( sK40(app(sK58,app(sK56,sK59))) = sK41(app(sK58,app(sK56,sK59))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_123]) ).
tcf(c_68610,plain,
( ( app(app(sK58,app(sK56,sK59)),nil) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_232]) ).
tcf(c_68611,plain,
( ( app(nil,app(sK58,app(sK56,sK59))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_155]) ).
tcf(c_68716,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_67211,c_183]) ).
tcf(c_68717,plain,
( ( app(sK58,app(sK59,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK59)))
| ~ rearsegP(sK59,app(sK58,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_67211,c_184]) ).
tcf(c_68718,plain,
( ( app(sK12(app(sK58,app(sK59,sK59)),sK59),sK59) = app(sK58,app(sK59,sK59)) )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_67211,c_66]) ).
tcf(c_68720,plain,
( ( app(sK12(app(sK58,app(sK59,sK59)),sK59),sK59) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68718,c_8916]) ).
tcf(c_68724,plain,
( ( app(sK58,app(sK59,sK59)) = sK59 )
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK59)))
| ~ rearsegP(sK59,app(sK58,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68717,c_8916]) ).
tcf(c_68733,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_67738,c_183]) ).
tcf(c_68734,plain,
( ( app(sK58,app(sK58,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK59)))
| ~ rearsegP(sK59,app(sK58,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_67738,c_184]) ).
tcf(c_68735,plain,
( ( app(sK12(app(sK58,app(sK58,sK59)),sK59),sK59) = app(sK58,app(sK58,sK59)) )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_67738,c_66]) ).
tcf(c_68737,plain,
( ( app(sK12(app(sK58,app(sK58,sK59)),sK59),sK59) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68735,c_8916]) ).
tcf(c_68741,plain,
( ( app(sK58,app(sK58,sK59)) = sK59 )
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK59)))
| ~ rearsegP(sK59,app(sK58,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68734,c_8916]) ).
tcf(c_68750,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_68213,c_183]) ).
tcf(c_68751,plain,
( ( app(sK58,app(sK56,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK59)))
| ~ rearsegP(sK59,app(sK58,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_68213,c_184]) ).
tcf(c_68752,plain,
( ( app(sK12(app(sK58,app(sK56,sK59)),sK59),sK59) = app(sK58,app(sK56,sK59)) )
| ~ ssList(sK59)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_68213,c_66]) ).
tcf(c_68754,plain,
( ( app(sK12(app(sK58,app(sK56,sK59)),sK59),sK59) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68752,c_8916]) ).
tcf(c_68758,plain,
( ( app(sK58,app(sK56,sK59)) = sK59 )
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK59)))
| ~ rearsegP(sK59,app(sK58,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68751,c_8916]) ).
tcf(c_68770,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(superposition,[status(thm)],[c_169,c_68482]) ).
tcf(c_68771,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_38510,c_68482]) ).
tcf(c_68796,plain,
( ( app(sK58,app(sK59,sK59)) = app(sK58,sK59) )
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK59)))
| ~ frontsegP(app(sK58,sK59),app(sK58,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_67214,c_174]) ).
tcf(c_68797,plain,
( ( app(app(sK58,sK59),sK11(app(sK58,app(sK59,sK59)),app(sK58,sK59))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_67214,c_63]) ).
tcf(c_68811,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK58,app(sK59,sK59)),X0),X0),sK14(app(sK58,app(sK59,sK59)),X0)) = app(sK58,app(sK59,sK59)) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK58,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_67223,c_70]) ).
tcf(c_68812,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,app(sK59,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK58,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_67223,c_190]) ).
tcf(c_68813,plain,
! [X0: $i] :
( ( app(sK58,app(sK59,sK59)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK58,app(sK59,sK59)))
| ~ segmentP(X0,app(sK58,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_67223,c_191]) ).
tcf(c_68970,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_11,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_53193,c_183]) ).
tcf(c_68971,plain,
( ( sK11(iPr_def_11,iPr_def_11) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_11,iPr_def_11),iPr_def_12) ),
inference(superposition,[status(thm)],[c_53193,c_184]) ).
tcf(c_68972,plain,
( ( app(sK12(iPr_def_12,sK11(iPr_def_11,iPr_def_11)),sK11(iPr_def_11,iPr_def_11)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_53193,c_66]) ).
tcf(c_68973,plain,
( ( app(sK12(iPr_def_12,sK11(iPr_def_11,iPr_def_11)),sK11(iPr_def_11,iPr_def_11)) = iPr_def_12 )
| ~ ssList(sK11(iPr_def_11,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68972,c_12842]) ).
tcf(c_68976,plain,
( ( sK11(iPr_def_11,iPr_def_11) = iPr_def_12 )
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_11,iPr_def_11),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68971,c_12842]) ).
tcf(c_68980,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ ssList(sK11(iPr_def_11,iPr_def_11))
| ~ rearsegP(sK11(iPr_def_11,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68970,c_12842]) ).
tcf(c_68985,plain,
rearsegP(iPr_def_10,sK11(nil,nil)),
inference(global_subsumption_just,[status(thm)],[c_53217,c_141,c_181,c_328,c_53217]) ).
tcf(c_68987,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_68985,c_183]) ).
tcf(c_68988,plain,
( ( sK11(nil,nil) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),iPr_def_10) ),
inference(superposition,[status(thm)],[c_68985,c_184]) ).
tcf(c_68989,plain,
( ( app(sK12(iPr_def_10,sK11(nil,nil)),sK11(nil,nil)) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_68985,c_66]) ).
tcf(c_68990,plain,
( ( app(sK12(iPr_def_10,sK11(nil,nil)),sK11(nil,nil)) = iPr_def_10 )
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68989,c_18245]) ).
tcf(c_68993,plain,
( ( sK11(nil,nil) = iPr_def_10 )
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68988,c_18245]) ).
tcf(c_68997,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68987,c_18245]) ).
tcf(c_69053,plain,
rearsegP(iPr_def_11,sK11(nil,nil)),
inference(global_subsumption_just,[status(thm)],[c_53218,c_141,c_181,c_328,c_53218]) ).
tcf(c_69055,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(superposition,[status(thm)],[c_69053,c_183]) ).
tcf(c_69056,plain,
( ( sK11(nil,nil) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),iPr_def_11) ),
inference(superposition,[status(thm)],[c_69053,c_184]) ).
tcf(c_69057,plain,
( ( app(sK12(iPr_def_11,sK11(nil,nil)),sK11(nil,nil)) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK11(nil,nil)) ),
inference(superposition,[status(thm)],[c_69053,c_66]) ).
tcf(c_69059,plain,
( ( app(sK12(iPr_def_11,sK11(nil,nil)),sK11(nil,nil)) = iPr_def_11 )
| ~ ssList(sK11(nil,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69057,c_12706]) ).
tcf(c_69062,plain,
( ( sK11(nil,nil) = iPr_def_11 )
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69056,c_12706]) ).
tcf(c_69066,plain,
! [X0: $i] :
( rearsegP(iPr_def_11,X0)
| ~ ssList(X0)
| ~ ssList(sK11(nil,nil))
| ~ rearsegP(sK11(nil,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69055,c_12706]) ).
tcf(c_69075,plain,
( ( app(app(sK13(app(sK58,app(sK59,sK59)),sK59),sK59),sK14(app(sK58,app(sK59,sK59)),sK59)) = app(sK58,app(sK59,sK59)) )
| ~ ssList(sK59)
| ~ ssList(app(sK58,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_67228,c_70]) ).
tcf(c_69076,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK58,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_67228,c_190]) ).
tcf(c_69077,plain,
( ( app(sK58,app(sK59,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK58,app(sK59,sK59)))
| ~ segmentP(sK59,app(sK58,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_67228,c_191]) ).
tcf(c_69079,plain,
( ( app(sK58,app(sK59,sK59)) = sK59 )
| ~ ssList(app(sK58,app(sK59,sK59)))
| ~ segmentP(sK59,app(sK58,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69077,c_8916]) ).
tcf(c_69083,plain,
( ( app(app(sK13(app(sK58,app(sK59,sK59)),sK59),sK59),sK14(app(sK58,app(sK59,sK59)),sK59)) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69075,c_8916]) ).
tcf(c_69091,plain,
( ( app(sK58,app(sK58,sK59)) = app(sK58,sK58) )
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK59)))
| ~ frontsegP(app(sK58,sK58),app(sK58,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_67741,c_174]) ).
tcf(c_69092,plain,
( ( app(app(sK58,sK58),sK11(app(sK58,app(sK58,sK59)),app(sK58,sK58))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_67741,c_63]) ).
tcf(c_69106,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK58,app(sK58,sK59)),X0),X0),sK14(app(sK58,app(sK58,sK59)),X0)) = app(sK58,app(sK58,sK59)) )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK58,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_67750,c_70]) ).
tcf(c_69107,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,app(sK58,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK58,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_67750,c_190]) ).
tcf(c_69108,plain,
! [X0: $i] :
( ( app(sK58,app(sK58,sK59)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK58,app(sK58,sK59)))
| ~ segmentP(X0,app(sK58,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_67750,c_191]) ).
tcf(c_69131,plain,
( ( app(app(sK13(app(sK58,app(sK58,sK59)),sK58),sK58),sK14(app(sK58,app(sK58,sK59)),sK58)) = app(sK58,app(sK58,sK59)) )
| ~ ssList(sK58)
| ~ ssList(app(sK58,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_67755,c_70]) ).
tcf(c_69132,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK58,sK59)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK58,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_67755,c_190]) ).
tcf(c_69133,plain,
( ( app(sK58,app(sK58,sK59)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK58,app(sK58,sK59)))
| ~ segmentP(sK58,app(sK58,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_67755,c_191]) ).
tcf(c_69135,plain,
( ( app(sK58,app(sK58,sK59)) = sK58 )
| ~ ssList(app(sK58,app(sK58,sK59)))
| ~ segmentP(sK58,app(sK58,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69133,c_8915]) ).
tcf(c_69139,plain,
( ( app(app(sK13(app(sK58,app(sK58,sK59)),sK58),sK58),sK14(app(sK58,app(sK58,sK59)),sK58)) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69131,c_8915]) ).
tcf(c_69147,plain,
( ( app(sK58,app(sK56,sK59)) = app(sK58,sK56) )
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK59)))
| ~ frontsegP(app(sK58,sK56),app(sK58,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_68216,c_174]) ).
tcf(c_69148,plain,
( ( app(app(sK58,sK56),sK11(app(sK58,app(sK56,sK59)),app(sK58,sK56))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_68216,c_63]) ).
tcf(c_69162,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK58,app(sK56,sK59)),X0),X0),sK14(app(sK58,app(sK56,sK59)),X0)) = app(sK58,app(sK56,sK59)) )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK58,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_68242,c_70]) ).
tcf(c_69163,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,app(sK56,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK58,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_68242,c_190]) ).
tcf(c_69164,plain,
! [X0: $i] :
( ( app(sK58,app(sK56,sK59)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK58,app(sK56,sK59)))
| ~ segmentP(X0,app(sK58,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_68242,c_191]) ).
tcf(c_69187,plain,
( ( app(app(sK13(app(sK58,app(sK56,sK59)),sK56),sK56),sK14(app(sK58,app(sK56,sK59)),sK56)) = app(sK58,app(sK56,sK59)) )
| ~ ssList(sK56)
| ~ ssList(app(sK58,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_68247,c_70]) ).
tcf(c_69188,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK56,sK59)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK58,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_68247,c_190]) ).
tcf(c_69189,plain,
( ( app(sK58,app(sK56,sK59)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK58,app(sK56,sK59)))
| ~ segmentP(sK56,app(sK58,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_68247,c_191]) ).
tcf(c_69191,plain,
( ( app(sK58,app(sK56,sK59)) = sK56 )
| ~ ssList(app(sK58,app(sK56,sK59)))
| ~ segmentP(sK56,app(sK58,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69189,c_8907]) ).
tcf(c_69195,plain,
( ( app(app(sK13(app(sK58,app(sK56,sK59)),sK56),sK56),sK14(app(sK58,app(sK56,sK59)),sK56)) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69187,c_8907]) ).
tcf(c_69202,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK8(X0,X1)),sK59) = app(sK56,app(sK8(X0,X1),sK59)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_63530]) ).
tcf(c_69203,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK9(X0,X1)),sK59) = app(sK56,app(sK9(X0,X1),sK59)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_63530]) ).
tcf(c_69204,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,app(X0,X1)),sK59) = app(sK56,app(app(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_63530]) ).
tcf(c_69205,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK11(X0,X1)),sK59) = app(sK56,app(sK11(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_63530]) ).
tcf(c_69206,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK12(X0,X1)),sK59) = app(sK56,app(sK12(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_63530]) ).
tcf(c_69207,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK13(X0,X1)),sK59) = app(sK56,app(sK13(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_63530]) ).
tcf(c_69208,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK14(X0,X1)),sK59) = app(sK56,app(sK14(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_63530]) ).
tcf(c_69218,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK56,sK34(X0)),sK59) = app(sK56,app(sK34(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_63530]) ).
tcf(c_69219,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK56,sK33(X0)),sK59) = app(sK56,app(sK33(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_63530]) ).
tcf(c_69220,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK56,sK32(X0)),sK59) = app(sK56,app(sK32(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_63530]) ).
tcf(c_69221,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK56,sK39(X0)),sK59) = app(sK56,app(sK39(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_63530]) ).
tcf(c_69222,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK56,sK38(X0)),sK59) = app(sK56,app(sK38(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_63530]) ).
tcf(c_69223,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK56,sK37(X0)),sK59) = app(sK56,app(sK37(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_63530]) ).
tcf(c_69224,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK56,sK44(X0)),sK59) = app(sK56,app(sK44(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_63530]) ).
tcf(c_69225,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK56,sK43(X0)),sK59) = app(sK56,app(sK43(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_63530]) ).
tcf(c_69226,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK56,sK42(X0)),sK59) = app(sK56,app(sK42(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_63530]) ).
tcf(c_69227,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK56,sK48(X0)),sK59) = app(sK56,app(sK48(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_63530]) ).
tcf(c_69228,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK56,sK47(X0)),sK59) = app(sK56,app(sK47(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_63530]) ).
tcf(c_69229,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,cons(X0,X1)),sK59) = app(sK56,app(cons(X0,X1),sK59)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_63530]) ).
tcf(c_69230,plain,
app(app(sK56,nil),sK59) = app(sK56,app(nil,sK59)),
inference(superposition,[status(thm)],[c_141,c_63530]) ).
tcf(c_69231,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK56,sK49(X0)),sK59) = app(sK56,app(sK49(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_63530]) ).
tcf(c_69232,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK56,tl(X0)),sK59) = app(sK56,app(tl(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_63530]) ).
tcf(c_69233,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK56,sK52(X0)),sK59) = app(sK56,app(sK52(X0),sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_63530]) ).
tcf(c_69234,plain,
app(app(sK56,sK59),sK59) = app(sK56,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_8916,c_63530]) ).
tcf(c_69235,plain,
app(app(sK56,sK58),sK59) = app(sK56,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_8915,c_63530]) ).
tcf(c_69236,plain,
app(app(sK56,sK56),sK59) = app(sK56,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_8907,c_63530]) ).
tcf(c_69237,plain,
app(app(sK56,iPr_def_12),sK59) = app(sK56,app(iPr_def_12,sK59)),
inference(superposition,[status(thm)],[c_12842,c_63530]) ).
tcf(c_69238,plain,
app(app(sK56,iPr_def_11),sK59) = app(sK56,app(iPr_def_11,sK59)),
inference(superposition,[status(thm)],[c_12706,c_63530]) ).
tcf(c_69239,plain,
app(app(sK56,iPr_def_10),sK59) = app(sK56,app(iPr_def_10,sK59)),
inference(superposition,[status(thm)],[c_18245,c_63530]) ).
tcf(c_69240,plain,
app(app(sK56,cons(sK57,sK59)),sK59) = app(sK56,app(cons(sK57,sK59),sK59)),
inference(superposition,[status(thm)],[c_38491,c_63530]) ).
tcf(c_69241,plain,
app(app(sK56,cons(sK57,sK58)),sK59) = app(sK56,app(cons(sK57,sK58),sK59)),
inference(superposition,[status(thm)],[c_42438,c_63530]) ).
tcf(c_69242,plain,
app(app(sK56,cons(sK57,sK56)),sK59) = app(sK56,app(cons(sK57,sK56),sK59)),
inference(superposition,[status(thm)],[c_45721,c_63530]) ).
tcf(c_69243,plain,
( ( nil = sK59 )
| ( app(app(sK56,tl(sK59)),sK59) = app(sK56,app(tl(sK59),sK59)) ) ),
inference(superposition,[status(thm)],[c_15329,c_63530]) ).
tcf(c_69244,plain,
( ( nil = sK58 )
| ( app(app(sK56,tl(sK58)),sK59) = app(sK56,app(tl(sK58),sK59)) ) ),
inference(superposition,[status(thm)],[c_15365,c_63530]) ).
tcf(c_69245,plain,
( ( nil = sK56 )
| ( app(app(sK56,tl(sK56)),sK59) = app(sK56,app(tl(sK56),sK59)) ) ),
inference(superposition,[status(thm)],[c_15756,c_63530]) ).
tcf(c_69246,plain,
app(app(sK56,tl(iPr_def_12)),sK59) = app(sK56,app(tl(iPr_def_12),sK59)),
inference(superposition,[status(thm)],[c_19014,c_63530]) ).
tcf(c_69247,plain,
app(app(sK56,cons(sK57,iPr_def_10)),sK59) = app(sK56,app(cons(sK57,iPr_def_10),sK59)),
inference(superposition,[status(thm)],[c_59801,c_63530]) ).
tcf(c_69248,plain,
app(app(sK56,cons(sK57,app(sK59,sK59))),sK59) = app(sK56,app(cons(sK57,app(sK59,sK59)),sK59)),
inference(superposition,[status(thm)],[c_38541,c_63530]) ).
tcf(c_69249,plain,
app(app(sK56,cons(sK57,app(sK58,sK59))),sK59) = app(sK56,app(cons(sK57,app(sK58,sK59)),sK59)),
inference(superposition,[status(thm)],[c_42487,c_63530]) ).
tcf(c_69250,plain,
app(app(sK56,cons(sK57,app(sK56,sK59))),sK59) = app(sK56,app(cons(sK57,app(sK56,sK59)),sK59)),
inference(superposition,[status(thm)],[c_45773,c_63530]) ).
tcf(c_69251,plain,
app(app(sK56,cons(sK57,app(sK59,sK58))),sK59) = app(sK56,app(cons(sK57,app(sK59,sK58)),sK59)),
inference(superposition,[status(thm)],[c_41763,c_63530]) ).
tcf(c_69252,plain,
app(app(sK56,cons(sK57,app(sK58,sK58))),sK59) = app(sK56,app(cons(sK57,app(sK58,sK58)),sK59)),
inference(superposition,[status(thm)],[c_43212,c_63530]) ).
tcf(c_69253,plain,
app(app(sK56,cons(sK57,app(sK56,sK58))),sK59) = app(sK56,app(cons(sK57,app(sK56,sK58)),sK59)),
inference(superposition,[status(thm)],[c_45770,c_63530]) ).
tcf(c_69254,plain,
app(app(sK56,cons(sK57,app(sK59,sK56))),sK59) = app(sK56,app(cons(sK57,app(sK59,sK56)),sK59)),
inference(superposition,[status(thm)],[c_45369,c_63530]) ).
tcf(c_69255,plain,
app(app(sK56,cons(sK57,app(sK58,sK56))),sK59) = app(sK56,app(cons(sK57,app(sK58,sK56)),sK59)),
inference(superposition,[status(thm)],[c_46410,c_63530]) ).
tcf(c_69256,plain,
app(app(sK56,cons(sK57,app(sK56,sK56))),sK59) = app(sK56,app(cons(sK57,app(sK56,sK56)),sK59)),
inference(superposition,[status(thm)],[c_46972,c_63530]) ).
tcf(c_69257,plain,
( ( app(app(sK56,app(sK59,app(sK59,sK59))),sK59) = app(sK56,app(app(sK59,app(sK59,sK59)),sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_63530]) ).
tcf(c_69258,plain,
( ( app(app(sK56,app(sK59,app(sK58,sK59))),sK59) = app(sK56,app(app(sK59,app(sK58,sK59)),sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_63530]) ).
tcf(c_69259,plain,
( ( app(app(sK56,app(sK59,app(sK56,sK59))),sK59) = app(sK56,app(app(sK59,app(sK56,sK59)),sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_63530]) ).
tcf(c_69260,plain,
( ( app(app(sK56,app(sK58,app(sK59,sK59))),sK59) = app(sK56,app(app(sK58,app(sK59,sK59)),sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_63530]) ).
tcf(c_69261,plain,
( ( app(app(sK56,app(sK58,app(sK58,sK59))),sK59) = app(sK56,app(app(sK58,app(sK58,sK59)),sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_63530]) ).
tcf(c_69262,plain,
( ( app(app(sK56,app(sK58,app(sK56,sK59))),sK59) = app(sK56,app(app(sK58,app(sK56,sK59)),sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_63530]) ).
tcf(c_69263,plain,
app(app(sK56,iPr_def_11),sK59) = app(sK56,cons(sK57,sK59)),
inference(light_normalisation,[status(thm)],[c_69238,c_37883]) ).
tcf(c_69264,plain,
app(app(sK56,iPr_def_12),sK59) = app(sK56,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_69237,c_18265]) ).
tcf(c_69266,plain,
app(app(sK56,cons(sK57,iPr_def_10)),sK59) = app(sK56,cons(sK57,app(iPr_def_10,sK59))),
inference(light_normalisation,[status(thm)],[c_69247,c_37876]) ).
tcf(c_69267,plain,
app(app(sK56,cons(sK57,sK56)),sK59) = app(sK56,cons(sK57,app(sK56,sK59))),
inference(light_normalisation,[status(thm)],[c_69242,c_37873]) ).
tcf(c_69268,plain,
app(app(sK56,cons(sK57,sK58)),sK59) = app(sK56,cons(sK57,app(sK58,sK59))),
inference(light_normalisation,[status(thm)],[c_69241,c_37872]) ).
tcf(c_69269,plain,
app(app(sK56,cons(sK57,sK59)),sK59) = app(sK56,cons(sK57,app(sK59,sK59))),
inference(light_normalisation,[status(thm)],[c_69240,c_37871]) ).
tcf(c_69656,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,sK8(X0,X1)) = app(iPr_def_11,sK8(X0,X1)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_16606]) ).
tcf(c_69657,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,sK9(X0,X1)) = app(iPr_def_11,sK9(X0,X1)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_16606]) ).
tcf(c_69658,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,app(X0,X1)) = app(iPr_def_11,app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_16606]) ).
tcf(c_69659,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,sK11(X0,X1)) = app(iPr_def_11,sK11(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_16606]) ).
tcf(c_69660,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,sK12(X0,X1)) = app(iPr_def_11,sK12(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_16606]) ).
tcf(c_69661,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,sK13(X0,X1)) = app(iPr_def_11,sK13(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_16606]) ).
tcf(c_69662,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,sK14(X0,X1)) = app(iPr_def_11,sK14(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_16606]) ).
tcf(c_69672,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,sK34(X0)) = app(iPr_def_11,sK34(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_16606]) ).
tcf(c_69673,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,sK33(X0)) = app(iPr_def_11,sK33(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_16606]) ).
tcf(c_69674,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK57,sK32(X0)) = app(iPr_def_11,sK32(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_16606]) ).
tcf(c_69675,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,sK39(X0)) = app(iPr_def_11,sK39(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_16606]) ).
tcf(c_69676,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,sK38(X0)) = app(iPr_def_11,sK38(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_16606]) ).
tcf(c_69677,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK57,sK37(X0)) = app(iPr_def_11,sK37(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_16606]) ).
tcf(c_69678,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,sK44(X0)) = app(iPr_def_11,sK44(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_16606]) ).
tcf(c_69679,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,sK43(X0)) = app(iPr_def_11,sK43(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_16606]) ).
tcf(c_69680,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK57,sK42(X0)) = app(iPr_def_11,sK42(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_16606]) ).
tcf(c_69681,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( cons(sK57,sK48(X0)) = app(iPr_def_11,sK48(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_16606]) ).
tcf(c_69682,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( cons(sK57,sK47(X0)) = app(iPr_def_11,sK47(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_16606]) ).
tcf(c_69683,plain,
! [X0: $i,X1: $i] :
( ( cons(sK57,cons(X0,X1)) = app(iPr_def_11,cons(X0,X1)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_16606]) ).
tcf(c_69684,plain,
cons(sK57,nil) = app(iPr_def_11,nil),
inference(superposition,[status(thm)],[c_141,c_16606]) ).
tcf(c_69685,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,sK49(X0)) = app(iPr_def_11,sK49(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_16606]) ).
tcf(c_69686,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,tl(X0)) = app(iPr_def_11,tl(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_16606]) ).
tcf(c_69687,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,sK52(X0)) = app(iPr_def_11,sK52(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_16606]) ).
tcf(c_69691,plain,
cons(sK57,iPr_def_12) = app(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_12842,c_16606]) ).
tcf(c_69692,plain,
cons(sK57,iPr_def_11) = app(iPr_def_11,iPr_def_11),
inference(superposition,[status(thm)],[c_12706,c_16606]) ).
tcf(c_69693,plain,
cons(sK57,iPr_def_10) = app(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_18245,c_16606]) ).
tcf(c_69694,plain,
cons(sK57,cons(sK57,sK59)) = app(iPr_def_11,cons(sK57,sK59)),
inference(superposition,[status(thm)],[c_38491,c_16606]) ).
tcf(c_69695,plain,
cons(sK57,cons(sK57,sK58)) = app(iPr_def_11,cons(sK57,sK58)),
inference(superposition,[status(thm)],[c_42438,c_16606]) ).
tcf(c_69696,plain,
cons(sK57,cons(sK57,sK56)) = app(iPr_def_11,cons(sK57,sK56)),
inference(superposition,[status(thm)],[c_45721,c_16606]) ).
tcf(c_69697,plain,
( ( nil = sK59 )
| ( cons(sK57,tl(sK59)) = app(iPr_def_11,tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_15329,c_16606]) ).
tcf(c_69698,plain,
( ( nil = sK58 )
| ( cons(sK57,tl(sK58)) = app(iPr_def_11,tl(sK58)) ) ),
inference(superposition,[status(thm)],[c_15365,c_16606]) ).
tcf(c_69699,plain,
( ( nil = sK56 )
| ( cons(sK57,tl(sK56)) = app(iPr_def_11,tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_15756,c_16606]) ).
tcf(c_69700,plain,
cons(sK57,tl(iPr_def_12)) = app(iPr_def_11,tl(iPr_def_12)),
inference(superposition,[status(thm)],[c_19014,c_16606]) ).
tcf(c_69701,plain,
cons(sK57,cons(sK57,iPr_def_10)) = app(iPr_def_11,cons(sK57,iPr_def_10)),
inference(superposition,[status(thm)],[c_59801,c_16606]) ).
tcf(c_69702,plain,
cons(sK57,cons(sK57,app(sK59,sK59))) = app(iPr_def_11,cons(sK57,app(sK59,sK59))),
inference(superposition,[status(thm)],[c_38541,c_16606]) ).
tcf(c_69703,plain,
cons(sK57,cons(sK57,app(sK58,sK59))) = app(iPr_def_11,cons(sK57,app(sK58,sK59))),
inference(superposition,[status(thm)],[c_42487,c_16606]) ).
tcf(c_69704,plain,
cons(sK57,cons(sK57,app(sK56,sK59))) = app(iPr_def_11,cons(sK57,app(sK56,sK59))),
inference(superposition,[status(thm)],[c_45773,c_16606]) ).
tcf(c_69705,plain,
cons(sK57,cons(sK57,app(sK59,sK58))) = app(iPr_def_11,cons(sK57,app(sK59,sK58))),
inference(superposition,[status(thm)],[c_41763,c_16606]) ).
tcf(c_69706,plain,
cons(sK57,cons(sK57,app(sK58,sK58))) = app(iPr_def_11,cons(sK57,app(sK58,sK58))),
inference(superposition,[status(thm)],[c_43212,c_16606]) ).
tcf(c_69707,plain,
cons(sK57,cons(sK57,app(sK56,sK58))) = app(iPr_def_11,cons(sK57,app(sK56,sK58))),
inference(superposition,[status(thm)],[c_45770,c_16606]) ).
tcf(c_69708,plain,
cons(sK57,cons(sK57,app(sK59,sK56))) = app(iPr_def_11,cons(sK57,app(sK59,sK56))),
inference(superposition,[status(thm)],[c_45369,c_16606]) ).
tcf(c_69709,plain,
cons(sK57,cons(sK57,app(sK58,sK56))) = app(iPr_def_11,cons(sK57,app(sK58,sK56))),
inference(superposition,[status(thm)],[c_46410,c_16606]) ).
tcf(c_69710,plain,
cons(sK57,cons(sK57,app(sK56,sK56))) = app(iPr_def_11,cons(sK57,app(sK56,sK56))),
inference(superposition,[status(thm)],[c_46972,c_16606]) ).
tcf(c_69711,plain,
( ( cons(sK57,app(sK59,app(sK59,sK59))) = app(iPr_def_11,app(sK59,app(sK59,sK59))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_16606]) ).
tcf(c_69712,plain,
( ( cons(sK57,app(sK59,app(sK58,sK59))) = app(iPr_def_11,app(sK59,app(sK58,sK59))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_16606]) ).
tcf(c_69713,plain,
( ( cons(sK57,app(sK59,app(sK56,sK59))) = app(iPr_def_11,app(sK59,app(sK56,sK59))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_16606]) ).
tcf(c_69714,plain,
( ( cons(sK57,app(sK58,app(sK59,sK59))) = app(iPr_def_11,app(sK58,app(sK59,sK59))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_16606]) ).
tcf(c_69715,plain,
( ( cons(sK57,app(sK58,app(sK58,sK59))) = app(iPr_def_11,app(sK58,app(sK58,sK59))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_16606]) ).
tcf(c_69716,plain,
( ( cons(sK57,app(sK58,app(sK56,sK59))) = app(iPr_def_11,app(sK58,app(sK56,sK59))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_16606]) ).
tcf(c_69967,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_11,iPr_def_12),X0)) ),
inference(superposition,[status(thm)],[c_69691,c_67]) ).
tcf(c_69970,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(iPr_def_11,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_69691,c_167]) ).
tcf(c_69972,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ( cons(sK57,iPr_def_12) != nil ) ),
inference(superposition,[status(thm)],[c_69691,c_230]) ).
tcf(c_69973,plain,
( frontsegP(cons(sK57,iPr_def_12),iPr_def_11)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_69691,c_382]) ).
tcf(c_69974,plain,
( rearsegP(cons(sK57,iPr_def_12),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_69691,c_379]) ).
tcf(c_69975,plain,
( ssList(cons(sK57,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_69691,c_153]) ).
tcf(c_69976,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ( app(X0,iPr_def_12) != cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_69691,c_225]) ).
tcf(c_69977,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_69691,c_226]) ).
tcf(c_69978,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_12),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_69691,c_176]) ).
tcf(c_69979,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_12),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_69691,c_165]) ).
tcf(c_69980,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X1),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_69691,c_193]) ).
tcf(c_69981,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_12),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_69691,c_186]) ).
tcf(c_69982,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_12),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_69691,c_166]) ).
tcf(c_69983,plain,
( ( sK56 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sK57,sK56) != cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_69691,c_45750]) ).
tcf(c_69984,plain,
( ( sK58 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sK57,sK58) != cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_69691,c_42467]) ).
tcf(c_69985,plain,
( ( sK59 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sK57,sK59) != cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_69691,c_38523]) ).
tcf(c_69986,plain,
ssList(cons(sK57,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_69975,c_12842,c_12706]) ).
tcf(c_69987,plain,
rearsegP(cons(sK57,iPr_def_12),iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_69974,c_12842,c_12706]) ).
tcf(c_69988,plain,
frontsegP(cons(sK57,iPr_def_12),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_69973,c_12842,c_12706]) ).
tcf(c_69989,plain,
( ( sK59 = iPr_def_12 )
| ( cons(sK57,sK59) != cons(sK57,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69985,c_12842]) ).
tcf(c_69992,plain,
cons(sK57,sK58) != cons(sK57,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_69984,c_30604,c_12842]) ).
tcf(c_69993,plain,
( ( sK56 = iPr_def_12 )
| ( cons(sK57,sK56) != cons(sK57,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69983,c_12842]) ).
tcf(c_69996,plain,
cons(sK57,iPr_def_12) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_69972,c_17651,c_12842,c_12706]) ).
tcf(c_69997,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_12),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69982,c_12842,c_12706]) ).
tcf(c_70001,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_12),X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69981,c_12842,c_12706]) ).
tcf(c_70005,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_12),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69979,c_12842,c_12706]) ).
tcf(c_70009,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_12),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69978,c_12842,c_12706]) ).
tcf(c_70013,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69970,c_12842,c_12706]) ).
tcf(c_70018,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK57,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69977,c_12842,c_12706]) ).
tcf(c_70022,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,iPr_def_12) != cons(sK57,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69976,c_12842,c_12706]) ).
tcf(c_70026,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69980,c_12842,c_12706]) ).
tcf(c_70031,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,iPr_def_12),X0)) ),
inference(light_normalisation,[status(thm)],[c_69967,c_69691]) ).
tcf(c_70032,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X0),iPr_def_12)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,iPr_def_12),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70031,c_12842,c_12706]) ).
tcf(c_70036,plain,
( ( cons(sK57,iPr_def_10) = sK59 )
| ~ rearsegP(sK59,cons(sK57,iPr_def_10)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_60039,c_69986]) ).
tcf(c_70037,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_59672,c_69986]) ).
tcf(c_70038,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_10),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_59667,c_69986]) ).
tcf(c_70039,plain,
( ( nil = sK59 )
| ( cons(sK57,iPr_def_10) != nil ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_59660,c_69986]) ).
tcf(c_70040,plain,
frontsegP(cons(sK57,iPr_def_10),cons(sK57,iPr_def_12)),
inference(backward_subsumption_resolution,[status(thm)],[c_59651,c_69986]) ).
tcf(c_70041,plain,
rearsegP(cons(sK57,iPr_def_10),sK59),
inference(backward_subsumption_resolution,[status(thm)],[c_59648,c_69986]) ).
tcf(c_70164,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,iPr_def_12)) = app(X0,app(X1,cons(sK57,iPr_def_12))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_69986,c_228]) ).
tcf(c_70165,plain,
cons(sK57,cons(sK57,iPr_def_12)) = app(iPr_def_11,cons(sK57,iPr_def_12)),
inference(superposition,[status(thm)],[c_69986,c_16606]) ).
tcf(c_70166,plain,
app(app(sK56,cons(sK57,iPr_def_12)),sK59) = app(sK56,app(cons(sK57,iPr_def_12),sK59)),
inference(superposition,[status(thm)],[c_69986,c_63530]) ).
tcf(c_70167,plain,
app(app(sK58,cons(sK57,iPr_def_12)),sK59) = app(sK58,app(cons(sK57,iPr_def_12),sK59)),
inference(superposition,[status(thm)],[c_69986,c_63529]) ).
tcf(c_70168,plain,
app(app(sK59,cons(sK57,iPr_def_12)),sK59) = app(sK59,app(cons(sK57,iPr_def_12),sK59)),
inference(superposition,[status(thm)],[c_69986,c_63528]) ).
tcf(c_70169,plain,
! [X0: $i] :
( ( app(app(cons(sK57,iPr_def_12),X0),sK59) = app(cons(sK57,iPr_def_12),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_69986,c_22629]) ).
tcf(c_70170,plain,
hd(app(iPr_def_11,cons(sK57,iPr_def_12))) = sK57,
inference(superposition,[status(thm)],[c_69986,c_19198]) ).
tcf(c_70171,plain,
hd(cons(sK60,cons(sK57,iPr_def_12))) = sK60,
inference(superposition,[status(thm)],[c_69986,c_18952]) ).
tcf(c_70172,plain,
tl(cons(sK60,cons(sK57,iPr_def_12))) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_69986,c_18951]) ).
tcf(c_70173,plain,
cons(sK57,app(cons(sK57,iPr_def_12),sK56)) = app(cons(sK57,cons(sK57,iPr_def_12)),sK56),
inference(superposition,[status(thm)],[c_69986,c_37365]) ).
tcf(c_70174,plain,
tl(cons(sK7,cons(sK57,iPr_def_12))) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_69986,c_13978]) ).
tcf(c_70175,plain,
tl(cons(sK6,cons(sK57,iPr_def_12))) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_69986,c_13977]) ).
tcf(c_70176,plain,
cons(sK57,app(cons(sK57,iPr_def_12),sK58)) = app(cons(sK57,cons(sK57,iPr_def_12)),sK58),
inference(superposition,[status(thm)],[c_69986,c_37364]) ).
tcf(c_70177,plain,
hd(cons(sK7,cons(sK57,iPr_def_12))) = sK7,
inference(superposition,[status(thm)],[c_69986,c_13802]) ).
tcf(c_70178,plain,
hd(cons(sK6,cons(sK57,iPr_def_12))) = sK6,
inference(superposition,[status(thm)],[c_69986,c_13801]) ).
tcf(c_70179,plain,
cons(sK57,app(cons(sK57,iPr_def_12),sK59)) = app(cons(sK57,cons(sK57,iPr_def_12)),sK59),
inference(superposition,[status(thm)],[c_69986,c_37363]) ).
tcf(c_70180,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,iPr_def_12))) = app(cons(sK57,X0),cons(sK57,iPr_def_12)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_69986,c_22147]) ).
tcf(c_70181,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,iPr_def_12)) = tl(app(sK56,cons(sK57,iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_69986,c_21660]) ).
tcf(c_70182,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,iPr_def_12)) = tl(app(sK58,cons(sK57,iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_69986,c_21659]) ).
tcf(c_70183,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,iPr_def_12)) = tl(app(sK59,cons(sK57,iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_69986,c_21658]) ).
tcf(c_70184,plain,
( duplicatefreeP(cons(sK57,iPr_def_12))
| ( app(app(sK42(cons(sK57,iPr_def_12)),cons(sK40(cons(sK57,iPr_def_12)),sK43(cons(sK57,iPr_def_12)))),cons(sK41(cons(sK57,iPr_def_12)),sK44(cons(sK57,iPr_def_12)))) = cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_69986,c_124]) ).
tcf(c_70185,plain,
( strictorderedP(cons(sK57,iPr_def_12))
| ( app(app(sK37(cons(sK57,iPr_def_12)),cons(sK35(cons(sK57,iPr_def_12)),sK38(cons(sK57,iPr_def_12)))),cons(sK36(cons(sK57,iPr_def_12)),sK39(cons(sK57,iPr_def_12)))) = cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_69986,c_116]) ).
tcf(c_70186,plain,
( totalorderedP(cons(sK57,iPr_def_12))
| ( app(app(sK32(cons(sK57,iPr_def_12)),cons(sK30(cons(sK57,iPr_def_12)),sK33(cons(sK57,iPr_def_12)))),cons(sK31(cons(sK57,iPr_def_12)),sK34(cons(sK57,iPr_def_12)))) = cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_69986,c_108]) ).
tcf(c_70187,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,iPr_def_12))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_69986,c_19187]) ).
tcf(c_70188,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_12) = nil )
| ( app(tl(cons(sK57,iPr_def_12)),X0) = tl(app(cons(sK57,iPr_def_12),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_69986,c_234]) ).
tcf(c_70189,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,iPr_def_12))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_69986,c_19186]) ).
tcf(c_70190,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,iPr_def_12))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_69986,c_19185]) ).
tcf(c_70191,plain,
( equalelemsP(cons(sK57,iPr_def_12))
| ( app(sK47(cons(sK57,iPr_def_12)),cons(sK45(cons(sK57,iPr_def_12)),cons(sK46(cons(sK57,iPr_def_12)),sK48(cons(sK57,iPr_def_12))))) = cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_69986,c_132]) ).
tcf(c_70192,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_12) = nil )
| ( hd(app(cons(sK57,iPr_def_12),X0)) = hd(cons(sK57,iPr_def_12)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_69986,c_233]) ).
tcf(c_70193,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ( cons(hd(cons(sK57,iPr_def_12)),tl(cons(sK57,iPr_def_12))) = cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_69986,c_224]) ).
tcf(c_70194,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ( cons(sK50(cons(sK57,iPr_def_12)),sK49(cons(sK57,iPr_def_12))) = cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_69986,c_147]) ).
tcf(c_70195,plain,
tl(cons(sK57,cons(sK57,iPr_def_12))) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_69986,c_13997]) ).
tcf(c_70196,plain,
hd(cons(sK57,cons(sK57,iPr_def_12))) = sK57,
inference(superposition,[status(thm)],[c_69986,c_13821]) ).
tcf(c_70197,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ( tl(cons(sK57,iPr_def_12)) = sK52(cons(sK57,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_69986,c_222]) ).
tcf(c_70198,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ( hd(cons(sK57,iPr_def_12)) = sK51(cons(sK57,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_69986,c_220]) ).
tcf(c_70199,plain,
( duplicatefreeP(cons(sK57,iPr_def_12))
| ( sK40(cons(sK57,iPr_def_12)) = sK41(cons(sK57,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_69986,c_123]) ).
tcf(c_70200,plain,
app(cons(sK57,iPr_def_12),nil) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_69986,c_232]) ).
tcf(c_70201,plain,
app(nil,cons(sK57,iPr_def_12)) = cons(sK57,iPr_def_12),
inference(superposition,[status(thm)],[c_69986,c_155]) ).
tcf(c_70210,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ( sK51(cons(sK57,iPr_def_12)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_70198,c_14671]) ).
tcf(c_70213,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ( sK52(cons(sK57,iPr_def_12)) = iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_70197,c_14843]) ).
tcf(c_70216,plain,
app(cons(sK57,cons(sK57,iPr_def_12)),sK59) = cons(sK57,cons(sK57,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_70179,c_37882]) ).
tcf(c_70217,plain,
cons(sK57,cons(sK57,app(iPr_def_12,sK58))) = app(cons(sK57,cons(sK57,iPr_def_12)),sK58),
inference(light_normalisation,[status(thm)],[c_70176,c_41516]) ).
tcf(c_70218,plain,
cons(sK57,cons(sK57,app(iPr_def_12,sK56))) = app(cons(sK57,cons(sK57,iPr_def_12)),sK56),
inference(light_normalisation,[status(thm)],[c_70173,c_45009]) ).
tcf(c_70219,plain,
app(app(sK59,cons(sK57,iPr_def_12)),sK59) = app(sK59,cons(sK57,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_70168,c_37882]) ).
tcf(c_70220,plain,
app(app(sK58,cons(sK57,iPr_def_12)),sK59) = app(sK58,cons(sK57,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_70167,c_37882]) ).
tcf(c_70221,plain,
app(app(sK56,cons(sK57,iPr_def_12)),sK59) = app(sK56,cons(sK57,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_70166,c_37882]) ).
tcf(c_70235,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_12) = nil )
| ( hd(app(cons(sK57,iPr_def_12),X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_70192,c_14671]) ).
tcf(c_70242,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_12) = nil )
| ( tl(app(cons(sK57,iPr_def_12),X0)) = app(iPr_def_12,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_70188,c_14843]) ).
tcf(c_70498,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_12),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_12,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_69987,c_183]) ).
tcf(c_70499,plain,
( ( cons(sK57,iPr_def_12) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ rearsegP(iPr_def_12,cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_69987,c_184]) ).
tcf(c_70500,plain,
( ( app(sK12(cons(sK57,iPr_def_12),iPr_def_12),iPr_def_12) = cons(sK57,iPr_def_12) )
| ~ ssList(iPr_def_12)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_69987,c_66]) ).
tcf(c_70501,plain,
app(sK12(cons(sK57,iPr_def_12),iPr_def_12),iPr_def_12) = cons(sK57,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_70500,c_12842,c_69986]) ).
tcf(c_70502,plain,
( ( cons(sK57,iPr_def_12) = iPr_def_12 )
| ~ rearsegP(iPr_def_12,cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70499,c_12842,c_69986]) ).
tcf(c_70506,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_12),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_69988,c_173]) ).
tcf(c_70507,plain,
( ( cons(sK57,iPr_def_12) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ frontsegP(iPr_def_11,cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_69988,c_174]) ).
tcf(c_70508,plain,
( ( app(iPr_def_11,sK11(cons(sK57,iPr_def_12),iPr_def_11)) = cons(sK57,iPr_def_12) )
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_69988,c_63]) ).
tcf(c_70510,plain,
app(iPr_def_11,sK11(cons(sK57,iPr_def_12),iPr_def_11)) = cons(sK57,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_70508,c_12706,c_69986]) ).
tcf(c_70511,plain,
( ( cons(sK57,iPr_def_12) = iPr_def_11 )
| ~ frontsegP(iPr_def_11,cons(sK57,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70507,c_12706,c_69986]) ).
tcf(c_70515,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK59,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(app(app(sK56,sK59),sK59),X0)) ),
inference(superposition,[status(thm)],[c_69234,c_67]) ).
tcf(c_70518,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK56,sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ memberP(app(sK56,app(sK59,sK59)),X0) ),
inference(superposition,[status(thm)],[c_69234,c_167]) ).
tcf(c_70519,plain,
( ( app(sK56,sK59) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_69234,c_231]) ).
tcf(c_70520,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_69234,c_230]) ).
tcf(c_70521,plain,
( frontsegP(app(sK56,app(sK59,sK59)),app(sK56,sK59))
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_69234,c_382]) ).
tcf(c_70522,plain,
( rearsegP(app(sK56,app(sK59,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_69234,c_379]) ).
tcf(c_70523,plain,
( ssList(app(sK56,app(sK59,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_69234,c_153]) ).
tcf(c_70524,plain,
! [X0: $i] :
( ( app(sK56,sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != app(X0,sK59) ) ),
inference(superposition,[status(thm)],[c_69234,c_225]) ).
tcf(c_70525,plain,
( segmentP(app(sK56,app(sK59,sK59)),sK59)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(app(app(sK56,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_69234,c_67]) ).
tcf(c_70526,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ( app(app(sK56,sK59),X0) != app(sK56,app(sK59,sK59)) ) ),
inference(superposition,[status(thm)],[c_69234,c_226]) ).
tcf(c_70527,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ~ frontsegP(app(sK56,sK59),X0) ),
inference(superposition,[status(thm)],[c_69234,c_176]) ).
tcf(c_70528,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ memberP(app(sK56,sK59),X0) ),
inference(superposition,[status(thm)],[c_69234,c_165]) ).
tcf(c_70529,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK59,sK59)),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_69234,c_193]) ).
tcf(c_70530,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_69234,c_186]) ).
tcf(c_70531,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_69234,c_166]) ).
tcf(c_70532,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK59,sK59)),X0)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_69234,c_193]) ).
tcf(c_70533,plain,
( ( app(sK56,sK59) = iPr_def_11 )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_69234,c_38527]) ).
tcf(c_70534,plain,
( ( app(sK56,sK59) = iPr_def_12 )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_69234,c_25223]) ).
tcf(c_70535,plain,
( ( app(sK56,sK59) = nil )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_69234,c_25211]) ).
tcf(c_70536,plain,
( ssList(app(sK56,app(sK59,sK59)))
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70523,c_8916]) ).
tcf(c_70539,plain,
( rearsegP(app(sK56,app(sK59,sK59)),sK59)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70522,c_8916]) ).
tcf(c_70542,plain,
( frontsegP(app(sK56,app(sK59,sK59)),app(sK56,sK59))
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70521,c_8916]) ).
tcf(c_70551,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70532,c_8907,c_8916]) ).
tcf(c_70555,plain,
( segmentP(app(sK56,app(sK59,sK59)),sK59)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(app(sK56,app(sK59,sK59))) ),
inference(light_normalisation,[status(thm)],[c_70525,c_69234]) ).
tcf(c_70556,plain,
( segmentP(app(sK56,app(sK59,sK59)),sK59)
| ~ ssList(app(sK56,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70555,c_8907,c_8916]) ).
tcf(c_70559,plain,
( ( nil = sK59 )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70520,c_8916]) ).
tcf(c_70566,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70531,c_8916]) ).
tcf(c_70571,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70530,c_8916]) ).
tcf(c_70576,plain,
( ( app(sK56,sK59) = nil )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70519,c_8916]) ).
tcf(c_70580,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK59,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ memberP(app(sK56,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70528,c_8916]) ).
tcf(c_70585,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ~ frontsegP(app(sK56,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70527,c_8916]) ).
tcf(c_70590,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK59,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70529,c_8916]) ).
tcf(c_70596,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK56,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ memberP(app(sK56,app(sK59,sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70518,c_8916]) ).
tcf(c_70602,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ( app(app(sK56,sK59),X0) != app(sK56,app(sK59,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70526,c_8916]) ).
tcf(c_70607,plain,
! [X0: $i] :
( ( app(sK56,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70524,c_8916]) ).
tcf(c_70612,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK59,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(app(sK56,app(sK59,sK59)),X0)) ),
inference(light_normalisation,[status(thm)],[c_70515,c_69234]) ).
tcf(c_70613,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK59,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(app(sK56,app(sK59,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70612,c_8916]) ).
tcf(c_70694,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK56,app(sK59,sK59))) = app(X0,app(X1,app(sK56,app(sK59,sK59)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_228]) ).
tcf(c_70695,plain,
( ( cons(sK57,app(sK56,app(sK59,sK59))) = app(iPr_def_11,app(sK56,app(sK59,sK59))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_16606]) ).
tcf(c_70696,plain,
( ( app(app(sK56,app(sK56,app(sK59,sK59))),sK59) = app(sK56,app(app(sK56,app(sK59,sK59)),sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_63530]) ).
tcf(c_70697,plain,
( ( app(app(sK58,app(sK56,app(sK59,sK59))),sK59) = app(sK58,app(app(sK56,app(sK59,sK59)),sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_63529]) ).
tcf(c_70698,plain,
( ( app(app(sK59,app(sK56,app(sK59,sK59))),sK59) = app(sK59,app(app(sK56,app(sK59,sK59)),sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_63528]) ).
tcf(c_70699,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK59,sK59)),X0),sK59) = app(app(sK56,app(sK59,sK59)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_22629]) ).
tcf(c_70700,plain,
( ( hd(app(iPr_def_11,app(sK56,app(sK59,sK59)))) = sK57 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_19198]) ).
tcf(c_70701,plain,
( ( hd(cons(sK60,app(sK56,app(sK59,sK59)))) = sK60 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_18952]) ).
tcf(c_70702,plain,
( ( tl(cons(sK60,app(sK56,app(sK59,sK59)))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_18951]) ).
tcf(c_70703,plain,
( ( cons(sK57,app(app(sK56,app(sK59,sK59)),sK56)) = app(cons(sK57,app(sK56,app(sK59,sK59))),sK56) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_37365]) ).
tcf(c_70704,plain,
( ( tl(cons(sK7,app(sK56,app(sK59,sK59)))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_13978]) ).
tcf(c_70705,plain,
( ( tl(cons(sK6,app(sK56,app(sK59,sK59)))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_13977]) ).
tcf(c_70706,plain,
( ( cons(sK57,app(app(sK56,app(sK59,sK59)),sK58)) = app(cons(sK57,app(sK56,app(sK59,sK59))),sK58) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_37364]) ).
tcf(c_70707,plain,
( ( hd(cons(sK7,app(sK56,app(sK59,sK59)))) = sK7 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_13802]) ).
tcf(c_70708,plain,
( ( hd(cons(sK6,app(sK56,app(sK59,sK59)))) = sK6 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_13801]) ).
tcf(c_70709,plain,
( ( cons(sK57,app(app(sK56,app(sK59,sK59)),sK59)) = app(cons(sK57,app(sK56,app(sK59,sK59))),sK59) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_37363]) ).
tcf(c_70710,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK56,app(sK59,sK59)))) = app(cons(sK57,X0),app(sK56,app(sK59,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_22147]) ).
tcf(c_70711,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK56,app(sK59,sK59))) = tl(app(sK56,app(sK56,app(sK59,sK59)))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_21660]) ).
tcf(c_70712,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK56,app(sK59,sK59))) = tl(app(sK58,app(sK56,app(sK59,sK59)))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_21659]) ).
tcf(c_70713,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK56,app(sK59,sK59))) = tl(app(sK59,app(sK56,app(sK59,sK59)))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_21658]) ).
tcf(c_70714,plain,
( duplicatefreeP(app(sK56,app(sK59,sK59)))
| ( app(app(sK42(app(sK56,app(sK59,sK59))),cons(sK40(app(sK56,app(sK59,sK59))),sK43(app(sK56,app(sK59,sK59))))),cons(sK41(app(sK56,app(sK59,sK59))),sK44(app(sK56,app(sK59,sK59))))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_124]) ).
tcf(c_70715,plain,
( strictorderedP(app(sK56,app(sK59,sK59)))
| ( app(app(sK37(app(sK56,app(sK59,sK59))),cons(sK35(app(sK56,app(sK59,sK59))),sK38(app(sK56,app(sK59,sK59))))),cons(sK36(app(sK56,app(sK59,sK59))),sK39(app(sK56,app(sK59,sK59))))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_116]) ).
tcf(c_70716,plain,
( totalorderedP(app(sK56,app(sK59,sK59)))
| ( app(app(sK32(app(sK56,app(sK59,sK59))),cons(sK30(app(sK56,app(sK59,sK59))),sK33(app(sK56,app(sK59,sK59))))),cons(sK31(app(sK56,app(sK59,sK59))),sK34(app(sK56,app(sK59,sK59))))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_108]) ).
tcf(c_70717,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK56,app(sK59,sK59)))) = hd(sK56) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_19187]) ).
tcf(c_70718,plain,
! [X0: $i] :
( ( app(sK56,app(sK59,sK59)) = nil )
| ( app(tl(app(sK56,app(sK59,sK59))),X0) = tl(app(app(sK56,app(sK59,sK59)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_234]) ).
tcf(c_70719,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK56,app(sK59,sK59)))) = hd(sK58) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_19186]) ).
tcf(c_70720,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK56,app(sK59,sK59)))) = hd(sK59) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_19185]) ).
tcf(c_70721,plain,
( equalelemsP(app(sK56,app(sK59,sK59)))
| ( app(sK47(app(sK56,app(sK59,sK59))),cons(sK45(app(sK56,app(sK59,sK59))),cons(sK46(app(sK56,app(sK59,sK59))),sK48(app(sK56,app(sK59,sK59)))))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_132]) ).
tcf(c_70722,plain,
! [X0: $i] :
( ( app(sK56,app(sK59,sK59)) = nil )
| ( hd(app(app(sK56,app(sK59,sK59)),X0)) = hd(app(sK56,app(sK59,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_233]) ).
tcf(c_70723,plain,
( ( app(sK56,app(sK59,sK59)) = nil )
| ( cons(hd(app(sK56,app(sK59,sK59))),tl(app(sK56,app(sK59,sK59)))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_224]) ).
tcf(c_70724,plain,
( ( app(sK56,app(sK59,sK59)) = nil )
| ( cons(sK50(app(sK56,app(sK59,sK59))),sK49(app(sK56,app(sK59,sK59)))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_147]) ).
tcf(c_70725,plain,
( ( tl(cons(sK57,app(sK56,app(sK59,sK59)))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_13997]) ).
tcf(c_70726,plain,
( ( hd(cons(sK57,app(sK56,app(sK59,sK59)))) = sK57 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_13821]) ).
tcf(c_70727,plain,
( ( app(sK56,app(sK59,sK59)) = nil )
| ( tl(app(sK56,app(sK59,sK59))) = sK52(app(sK56,app(sK59,sK59))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_222]) ).
tcf(c_70728,plain,
( ( app(sK56,app(sK59,sK59)) = nil )
| ( hd(app(sK56,app(sK59,sK59))) = sK51(app(sK56,app(sK59,sK59))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_220]) ).
tcf(c_70729,plain,
( duplicatefreeP(app(sK56,app(sK59,sK59)))
| ( sK40(app(sK56,app(sK59,sK59))) = sK41(app(sK56,app(sK59,sK59))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_123]) ).
tcf(c_70730,plain,
( ( app(app(sK56,app(sK59,sK59)),nil) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_232]) ).
tcf(c_70731,plain,
( ( app(nil,app(sK56,app(sK59,sK59))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_155]) ).
tcf(c_71110,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK58,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(app(app(sK56,sK58),sK59),X0)) ),
inference(superposition,[status(thm)],[c_69235,c_67]) ).
tcf(c_71113,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK56,sK58),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ memberP(app(sK56,app(sK58,sK59)),X0) ),
inference(superposition,[status(thm)],[c_69235,c_167]) ).
tcf(c_71114,plain,
( ( app(sK56,sK58) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_69235,c_231]) ).
tcf(c_71115,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_69235,c_230]) ).
tcf(c_71116,plain,
( frontsegP(app(sK56,app(sK58,sK59)),app(sK56,sK58))
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_69235,c_382]) ).
tcf(c_71117,plain,
( rearsegP(app(sK56,app(sK58,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_69235,c_379]) ).
tcf(c_71118,plain,
( ssList(app(sK56,app(sK58,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_69235,c_153]) ).
tcf(c_71119,plain,
! [X0: $i] :
( ( app(sK56,sK58) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != app(X0,sK59) ) ),
inference(superposition,[status(thm)],[c_69235,c_225]) ).
tcf(c_71120,plain,
( segmentP(app(sK56,app(sK58,sK59)),sK58)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(app(sK56,sK58),sK59)) ),
inference(superposition,[status(thm)],[c_69235,c_67]) ).
tcf(c_71121,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ( app(app(sK56,sK58),X0) != app(sK56,app(sK58,sK59)) ) ),
inference(superposition,[status(thm)],[c_69235,c_226]) ).
tcf(c_71122,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ~ frontsegP(app(sK56,sK58),X0) ),
inference(superposition,[status(thm)],[c_69235,c_176]) ).
tcf(c_71123,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ memberP(app(sK56,sK58),X0) ),
inference(superposition,[status(thm)],[c_69235,c_165]) ).
tcf(c_71124,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK58,sK59)),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_69235,c_193]) ).
tcf(c_71125,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_69235,c_186]) ).
tcf(c_71126,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_69235,c_166]) ).
tcf(c_71127,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK58,sK59)),X0)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_69235,c_193]) ).
tcf(c_71128,plain,
( ( app(sK56,sK58) = iPr_def_11 )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_69235,c_38527]) ).
tcf(c_71129,plain,
( ( app(sK56,sK58) = iPr_def_12 )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_69235,c_25223]) ).
tcf(c_71130,plain,
( ( app(sK56,sK58) = nil )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_69235,c_25211]) ).
tcf(c_71131,plain,
( ssList(app(sK56,app(sK58,sK59)))
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71118,c_8916]) ).
tcf(c_71134,plain,
( rearsegP(app(sK56,app(sK58,sK59)),sK59)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71117,c_8916]) ).
tcf(c_71137,plain,
( frontsegP(app(sK56,app(sK58,sK59)),app(sK56,sK58))
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71116,c_8916]) ).
tcf(c_71146,plain,
( ( nil = sK59 )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71115,c_8916]) ).
tcf(c_71153,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK58,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71126,c_8916]) ).
tcf(c_71158,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71125,c_8916]) ).
tcf(c_71163,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71127,c_8907,c_8916,c_8915]) ).
tcf(c_71167,plain,
( segmentP(app(sK56,app(sK58,sK59)),sK58)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(sK56,app(sK58,sK59))) ),
inference(light_normalisation,[status(thm)],[c_71120,c_69235]) ).
tcf(c_71168,plain,
( segmentP(app(sK56,app(sK58,sK59)),sK58)
| ~ ssList(app(sK56,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71167,c_8907,c_8916,c_8915]) ).
tcf(c_71171,plain,
( ( app(sK56,sK58) = nil )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71114,c_8916]) ).
tcf(c_71175,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK58,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ memberP(app(sK56,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71123,c_8916]) ).
tcf(c_71180,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ~ frontsegP(app(sK56,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71122,c_8916]) ).
tcf(c_71185,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK58,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71124,c_8916]) ).
tcf(c_71191,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK56,sK58),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ memberP(app(sK56,app(sK58,sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71113,c_8916]) ).
tcf(c_71197,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ( app(app(sK56,sK58),X0) != app(sK56,app(sK58,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71121,c_8916]) ).
tcf(c_71202,plain,
! [X0: $i] :
( ( app(sK56,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71119,c_8916]) ).
tcf(c_71207,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK58,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(app(sK56,app(sK58,sK59)),X0)) ),
inference(light_normalisation,[status(thm)],[c_71110,c_69235]) ).
tcf(c_71208,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK58,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(app(sK56,app(sK58,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71207,c_8916]) ).
tcf(c_71245,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK56,app(sK58,sK59))) = app(X0,app(X1,app(sK56,app(sK58,sK59)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_228]) ).
tcf(c_71246,plain,
( ( cons(sK57,app(sK56,app(sK58,sK59))) = app(iPr_def_11,app(sK56,app(sK58,sK59))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_16606]) ).
tcf(c_71247,plain,
( ( app(app(sK56,app(sK56,app(sK58,sK59))),sK59) = app(sK56,app(app(sK56,app(sK58,sK59)),sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_63530]) ).
tcf(c_71248,plain,
( ( app(app(sK58,app(sK56,app(sK58,sK59))),sK59) = app(sK58,app(app(sK56,app(sK58,sK59)),sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_63529]) ).
tcf(c_71249,plain,
( ( app(app(sK59,app(sK56,app(sK58,sK59))),sK59) = app(sK59,app(app(sK56,app(sK58,sK59)),sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_63528]) ).
tcf(c_71250,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK58,sK59)),X0),sK59) = app(app(sK56,app(sK58,sK59)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_22629]) ).
tcf(c_71251,plain,
( ( hd(app(iPr_def_11,app(sK56,app(sK58,sK59)))) = sK57 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_19198]) ).
tcf(c_71252,plain,
( ( hd(cons(sK60,app(sK56,app(sK58,sK59)))) = sK60 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_18952]) ).
tcf(c_71253,plain,
( ( tl(cons(sK60,app(sK56,app(sK58,sK59)))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_18951]) ).
tcf(c_71254,plain,
( ( cons(sK57,app(app(sK56,app(sK58,sK59)),sK56)) = app(cons(sK57,app(sK56,app(sK58,sK59))),sK56) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_37365]) ).
tcf(c_71255,plain,
( ( tl(cons(sK7,app(sK56,app(sK58,sK59)))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_13978]) ).
tcf(c_71256,plain,
( ( tl(cons(sK6,app(sK56,app(sK58,sK59)))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_13977]) ).
tcf(c_71257,plain,
( ( cons(sK57,app(app(sK56,app(sK58,sK59)),sK58)) = app(cons(sK57,app(sK56,app(sK58,sK59))),sK58) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_37364]) ).
tcf(c_71258,plain,
( ( hd(cons(sK7,app(sK56,app(sK58,sK59)))) = sK7 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_13802]) ).
tcf(c_71259,plain,
( ( hd(cons(sK6,app(sK56,app(sK58,sK59)))) = sK6 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_13801]) ).
tcf(c_71260,plain,
( ( cons(sK57,app(app(sK56,app(sK58,sK59)),sK59)) = app(cons(sK57,app(sK56,app(sK58,sK59))),sK59) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_37363]) ).
tcf(c_71261,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK56,app(sK58,sK59)))) = app(cons(sK57,X0),app(sK56,app(sK58,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_22147]) ).
tcf(c_71262,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK56,app(sK58,sK59))) = tl(app(sK56,app(sK56,app(sK58,sK59)))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_21660]) ).
tcf(c_71263,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK56,app(sK58,sK59))) = tl(app(sK58,app(sK56,app(sK58,sK59)))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_21659]) ).
tcf(c_71264,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK56,app(sK58,sK59))) = tl(app(sK59,app(sK56,app(sK58,sK59)))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_21658]) ).
tcf(c_71265,plain,
( duplicatefreeP(app(sK56,app(sK58,sK59)))
| ( app(app(sK42(app(sK56,app(sK58,sK59))),cons(sK40(app(sK56,app(sK58,sK59))),sK43(app(sK56,app(sK58,sK59))))),cons(sK41(app(sK56,app(sK58,sK59))),sK44(app(sK56,app(sK58,sK59))))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_124]) ).
tcf(c_71266,plain,
( strictorderedP(app(sK56,app(sK58,sK59)))
| ( app(app(sK37(app(sK56,app(sK58,sK59))),cons(sK35(app(sK56,app(sK58,sK59))),sK38(app(sK56,app(sK58,sK59))))),cons(sK36(app(sK56,app(sK58,sK59))),sK39(app(sK56,app(sK58,sK59))))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_116]) ).
tcf(c_71267,plain,
( totalorderedP(app(sK56,app(sK58,sK59)))
| ( app(app(sK32(app(sK56,app(sK58,sK59))),cons(sK30(app(sK56,app(sK58,sK59))),sK33(app(sK56,app(sK58,sK59))))),cons(sK31(app(sK56,app(sK58,sK59))),sK34(app(sK56,app(sK58,sK59))))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_108]) ).
tcf(c_71268,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK56,app(sK58,sK59)))) = hd(sK56) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_19187]) ).
tcf(c_71269,plain,
! [X0: $i] :
( ( app(sK56,app(sK58,sK59)) = nil )
| ( app(tl(app(sK56,app(sK58,sK59))),X0) = tl(app(app(sK56,app(sK58,sK59)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_234]) ).
tcf(c_71270,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK56,app(sK58,sK59)))) = hd(sK58) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_19186]) ).
tcf(c_71271,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK56,app(sK58,sK59)))) = hd(sK59) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_19185]) ).
tcf(c_71272,plain,
( equalelemsP(app(sK56,app(sK58,sK59)))
| ( app(sK47(app(sK56,app(sK58,sK59))),cons(sK45(app(sK56,app(sK58,sK59))),cons(sK46(app(sK56,app(sK58,sK59))),sK48(app(sK56,app(sK58,sK59)))))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_132]) ).
tcf(c_71273,plain,
! [X0: $i] :
( ( app(sK56,app(sK58,sK59)) = nil )
| ( hd(app(app(sK56,app(sK58,sK59)),X0)) = hd(app(sK56,app(sK58,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_233]) ).
tcf(c_71274,plain,
( ( app(sK56,app(sK58,sK59)) = nil )
| ( cons(hd(app(sK56,app(sK58,sK59))),tl(app(sK56,app(sK58,sK59)))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_224]) ).
tcf(c_71275,plain,
( ( app(sK56,app(sK58,sK59)) = nil )
| ( cons(sK50(app(sK56,app(sK58,sK59))),sK49(app(sK56,app(sK58,sK59)))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_147]) ).
tcf(c_71276,plain,
( ( tl(cons(sK57,app(sK56,app(sK58,sK59)))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_13997]) ).
tcf(c_71277,plain,
( ( hd(cons(sK57,app(sK56,app(sK58,sK59)))) = sK57 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_13821]) ).
tcf(c_71278,plain,
( ( app(sK56,app(sK58,sK59)) = nil )
| ( tl(app(sK56,app(sK58,sK59))) = sK52(app(sK56,app(sK58,sK59))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_222]) ).
tcf(c_71279,plain,
( ( app(sK56,app(sK58,sK59)) = nil )
| ( hd(app(sK56,app(sK58,sK59))) = sK51(app(sK56,app(sK58,sK59))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_220]) ).
tcf(c_71280,plain,
( duplicatefreeP(app(sK56,app(sK58,sK59)))
| ( sK40(app(sK56,app(sK58,sK59))) = sK41(app(sK56,app(sK58,sK59))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_123]) ).
tcf(c_71281,plain,
( ( app(app(sK56,app(sK58,sK59)),nil) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_232]) ).
tcf(c_71282,plain,
( ( app(nil,app(sK56,app(sK58,sK59))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_155]) ).
tcf(c_71501,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK56,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(app(app(sK56,sK56),sK59),X0)) ),
inference(superposition,[status(thm)],[c_69236,c_67]) ).
tcf(c_71504,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK56,sK56),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ memberP(app(sK56,app(sK56,sK59)),X0) ),
inference(superposition,[status(thm)],[c_69236,c_167]) ).
tcf(c_71505,plain,
( ( app(sK56,sK56) = nil )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_69236,c_231]) ).
tcf(c_71506,plain,
( ( nil = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != nil ) ),
inference(superposition,[status(thm)],[c_69236,c_230]) ).
tcf(c_71507,plain,
( frontsegP(app(sK56,app(sK56,sK59)),app(sK56,sK56))
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_69236,c_382]) ).
tcf(c_71508,plain,
( rearsegP(app(sK56,app(sK56,sK59)),sK59)
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_69236,c_379]) ).
tcf(c_71509,plain,
( ssList(app(sK56,app(sK56,sK59)))
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_69236,c_153]) ).
tcf(c_71510,plain,
! [X0: $i] :
( ( app(sK56,sK56) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != app(X0,sK59) ) ),
inference(superposition,[status(thm)],[c_69236,c_225]) ).
tcf(c_71511,plain,
( segmentP(app(sK56,app(sK56,sK59)),sK56)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(app(app(sK56,sK56),sK59)) ),
inference(superposition,[status(thm)],[c_69236,c_67]) ).
tcf(c_71512,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ( app(app(sK56,sK56),X0) != app(sK56,app(sK56,sK59)) ) ),
inference(superposition,[status(thm)],[c_69236,c_226]) ).
tcf(c_71513,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ~ frontsegP(app(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_69236,c_176]) ).
tcf(c_71514,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ memberP(app(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_69236,c_165]) ).
tcf(c_71515,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK56,sK59)),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_69236,c_193]) ).
tcf(c_71516,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_69236,c_186]) ).
tcf(c_71517,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_69236,c_166]) ).
tcf(c_71518,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK56,sK59)),X0)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_69236,c_193]) ).
tcf(c_71519,plain,
( ( app(sK56,sK56) = iPr_def_11 )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != cons(sK57,sK59) ) ),
inference(superposition,[status(thm)],[c_69236,c_38527]) ).
tcf(c_71520,plain,
( ( app(sK56,sK56) = iPr_def_12 )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_69236,c_25223]) ).
tcf(c_71521,plain,
( ( app(sK56,sK56) = nil )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != sK59 ) ),
inference(superposition,[status(thm)],[c_69236,c_25211]) ).
tcf(c_71522,plain,
( ssList(app(sK56,app(sK56,sK59)))
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71509,c_8916]) ).
tcf(c_71525,plain,
( rearsegP(app(sK56,app(sK56,sK59)),sK59)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71508,c_8916]) ).
tcf(c_71528,plain,
( frontsegP(app(sK56,app(sK56,sK59)),app(sK56,sK56))
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71507,c_8916]) ).
tcf(c_71537,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71518,c_8907,c_8916]) ).
tcf(c_71541,plain,
( segmentP(app(sK56,app(sK56,sK59)),sK56)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(app(sK56,app(sK56,sK59))) ),
inference(light_normalisation,[status(thm)],[c_71511,c_69236]) ).
tcf(c_71542,plain,
( segmentP(app(sK56,app(sK56,sK59)),sK56)
| ~ ssList(app(sK56,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71541,c_8907,c_8916]) ).
tcf(c_71545,plain,
( ( nil = sK59 )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71506,c_8916]) ).
tcf(c_71552,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK56,sK59)),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71517,c_8916]) ).
tcf(c_71557,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71516,c_8916]) ).
tcf(c_71562,plain,
( ( app(sK56,sK56) = nil )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71505,c_8916]) ).
tcf(c_71566,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK56,sK59)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ memberP(app(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71514,c_8916]) ).
tcf(c_71571,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ~ frontsegP(app(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71513,c_8916]) ).
tcf(c_71576,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK56,sK59)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71515,c_8916]) ).
tcf(c_71582,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(app(sK56,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ memberP(app(sK56,app(sK56,sK59)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71504,c_8916]) ).
tcf(c_71588,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ( app(app(sK56,sK56),X0) != app(sK56,app(sK56,sK59)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71512,c_8916]) ).
tcf(c_71593,plain,
! [X0: $i] :
( ( app(sK56,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != app(X0,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71510,c_8916]) ).
tcf(c_71598,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK56,sK59)),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(app(sK56,app(sK56,sK59)),X0)) ),
inference(light_normalisation,[status(thm)],[c_71501,c_69236]) ).
tcf(c_71599,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK56,sK59)),X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(app(sK56,app(sK56,sK59)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71598,c_8916]) ).
tcf(c_71673,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK56,app(sK56,sK59))) = app(X0,app(X1,app(sK56,app(sK56,sK59)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_228]) ).
tcf(c_71674,plain,
( ( cons(sK57,app(sK56,app(sK56,sK59))) = app(iPr_def_11,app(sK56,app(sK56,sK59))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_16606]) ).
tcf(c_71675,plain,
( ( app(app(sK56,app(sK56,app(sK56,sK59))),sK59) = app(sK56,app(app(sK56,app(sK56,sK59)),sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_63530]) ).
tcf(c_71676,plain,
( ( app(app(sK58,app(sK56,app(sK56,sK59))),sK59) = app(sK58,app(app(sK56,app(sK56,sK59)),sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_63529]) ).
tcf(c_71677,plain,
( ( app(app(sK59,app(sK56,app(sK56,sK59))),sK59) = app(sK59,app(app(sK56,app(sK56,sK59)),sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_63528]) ).
tcf(c_71678,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK56,sK59)),X0),sK59) = app(app(sK56,app(sK56,sK59)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_22629]) ).
tcf(c_71679,plain,
( ( hd(app(iPr_def_11,app(sK56,app(sK56,sK59)))) = sK57 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_19198]) ).
tcf(c_71680,plain,
( ( hd(cons(sK60,app(sK56,app(sK56,sK59)))) = sK60 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_18952]) ).
tcf(c_71681,plain,
( ( tl(cons(sK60,app(sK56,app(sK56,sK59)))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_18951]) ).
tcf(c_71682,plain,
( ( cons(sK57,app(app(sK56,app(sK56,sK59)),sK56)) = app(cons(sK57,app(sK56,app(sK56,sK59))),sK56) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_37365]) ).
tcf(c_71683,plain,
( ( tl(cons(sK7,app(sK56,app(sK56,sK59)))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_13978]) ).
tcf(c_71684,plain,
( ( tl(cons(sK6,app(sK56,app(sK56,sK59)))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_13977]) ).
tcf(c_71685,plain,
( ( cons(sK57,app(app(sK56,app(sK56,sK59)),sK58)) = app(cons(sK57,app(sK56,app(sK56,sK59))),sK58) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_37364]) ).
tcf(c_71686,plain,
( ( hd(cons(sK7,app(sK56,app(sK56,sK59)))) = sK7 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_13802]) ).
tcf(c_71687,plain,
( ( hd(cons(sK6,app(sK56,app(sK56,sK59)))) = sK6 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_13801]) ).
tcf(c_71688,plain,
( ( cons(sK57,app(app(sK56,app(sK56,sK59)),sK59)) = app(cons(sK57,app(sK56,app(sK56,sK59))),sK59) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_37363]) ).
tcf(c_71689,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK56,app(sK56,sK59)))) = app(cons(sK57,X0),app(sK56,app(sK56,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_22147]) ).
tcf(c_71690,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK56,app(sK56,sK59))) = tl(app(sK56,app(sK56,app(sK56,sK59)))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_21660]) ).
tcf(c_71691,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK56,app(sK56,sK59))) = tl(app(sK58,app(sK56,app(sK56,sK59)))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_21659]) ).
tcf(c_71692,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK56,app(sK56,sK59))) = tl(app(sK59,app(sK56,app(sK56,sK59)))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_21658]) ).
tcf(c_71693,plain,
( duplicatefreeP(app(sK56,app(sK56,sK59)))
| ( app(app(sK42(app(sK56,app(sK56,sK59))),cons(sK40(app(sK56,app(sK56,sK59))),sK43(app(sK56,app(sK56,sK59))))),cons(sK41(app(sK56,app(sK56,sK59))),sK44(app(sK56,app(sK56,sK59))))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_124]) ).
tcf(c_71694,plain,
( strictorderedP(app(sK56,app(sK56,sK59)))
| ( app(app(sK37(app(sK56,app(sK56,sK59))),cons(sK35(app(sK56,app(sK56,sK59))),sK38(app(sK56,app(sK56,sK59))))),cons(sK36(app(sK56,app(sK56,sK59))),sK39(app(sK56,app(sK56,sK59))))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_116]) ).
tcf(c_71695,plain,
( totalorderedP(app(sK56,app(sK56,sK59)))
| ( app(app(sK32(app(sK56,app(sK56,sK59))),cons(sK30(app(sK56,app(sK56,sK59))),sK33(app(sK56,app(sK56,sK59))))),cons(sK31(app(sK56,app(sK56,sK59))),sK34(app(sK56,app(sK56,sK59))))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_108]) ).
tcf(c_71696,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK56,app(sK56,sK59)))) = hd(sK56) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_19187]) ).
tcf(c_71697,plain,
! [X0: $i] :
( ( app(sK56,app(sK56,sK59)) = nil )
| ( app(tl(app(sK56,app(sK56,sK59))),X0) = tl(app(app(sK56,app(sK56,sK59)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_234]) ).
tcf(c_71698,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK56,app(sK56,sK59)))) = hd(sK58) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_19186]) ).
tcf(c_71699,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK56,app(sK56,sK59)))) = hd(sK59) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_19185]) ).
tcf(c_71700,plain,
( equalelemsP(app(sK56,app(sK56,sK59)))
| ( app(sK47(app(sK56,app(sK56,sK59))),cons(sK45(app(sK56,app(sK56,sK59))),cons(sK46(app(sK56,app(sK56,sK59))),sK48(app(sK56,app(sK56,sK59)))))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_132]) ).
tcf(c_71701,plain,
! [X0: $i] :
( ( app(sK56,app(sK56,sK59)) = nil )
| ( hd(app(app(sK56,app(sK56,sK59)),X0)) = hd(app(sK56,app(sK56,sK59))) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_233]) ).
tcf(c_71702,plain,
( ( app(sK56,app(sK56,sK59)) = nil )
| ( cons(hd(app(sK56,app(sK56,sK59))),tl(app(sK56,app(sK56,sK59)))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_224]) ).
tcf(c_71703,plain,
( ( app(sK56,app(sK56,sK59)) = nil )
| ( cons(sK50(app(sK56,app(sK56,sK59))),sK49(app(sK56,app(sK56,sK59)))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_147]) ).
tcf(c_71704,plain,
( ( tl(cons(sK57,app(sK56,app(sK56,sK59)))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_13997]) ).
tcf(c_71705,plain,
( ( hd(cons(sK57,app(sK56,app(sK56,sK59)))) = sK57 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_13821]) ).
tcf(c_71706,plain,
( ( app(sK56,app(sK56,sK59)) = nil )
| ( tl(app(sK56,app(sK56,sK59))) = sK52(app(sK56,app(sK56,sK59))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_222]) ).
tcf(c_71707,plain,
( ( app(sK56,app(sK56,sK59)) = nil )
| ( hd(app(sK56,app(sK56,sK59))) = sK51(app(sK56,app(sK56,sK59))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_220]) ).
tcf(c_71708,plain,
( duplicatefreeP(app(sK56,app(sK56,sK59)))
| ( sK40(app(sK56,app(sK56,sK59))) = sK41(app(sK56,app(sK56,sK59))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_123]) ).
tcf(c_71709,plain,
( ( app(app(sK56,app(sK56,sK59)),nil) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_232]) ).
tcf(c_71710,plain,
( ( app(nil,app(sK56,app(sK56,sK59))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_155]) ).
tcf(c_71945,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_70539,c_183]) ).
tcf(c_71946,plain,
( ( app(sK56,app(sK59,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK59)))
| ~ rearsegP(sK59,app(sK56,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_70539,c_184]) ).
tcf(c_71947,plain,
( ( app(sK12(app(sK56,app(sK59,sK59)),sK59),sK59) = app(sK56,app(sK59,sK59)) )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_70539,c_66]) ).
tcf(c_71949,plain,
( ( app(sK12(app(sK56,app(sK59,sK59)),sK59),sK59) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71947,c_8916]) ).
tcf(c_71953,plain,
( ( app(sK56,app(sK59,sK59)) = sK59 )
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK59)))
| ~ rearsegP(sK59,app(sK56,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71946,c_8916]) ).
tcf(c_71962,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK58,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_71134,c_183]) ).
tcf(c_71963,plain,
( ( app(sK56,app(sK58,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK59)))
| ~ rearsegP(sK59,app(sK56,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_71134,c_184]) ).
tcf(c_71964,plain,
( ( app(sK12(app(sK56,app(sK58,sK59)),sK59),sK59) = app(sK56,app(sK58,sK59)) )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_71134,c_66]) ).
tcf(c_71966,plain,
( ( app(sK12(app(sK56,app(sK58,sK59)),sK59),sK59) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71964,c_8916]) ).
tcf(c_71970,plain,
( ( app(sK56,app(sK58,sK59)) = sK59 )
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK59)))
| ~ rearsegP(sK59,app(sK56,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71963,c_8916]) ).
tcf(c_71977,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_70041,c_183]) ).
tcf(c_71978,plain,
( ( cons(sK57,iPr_def_10) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK57,iPr_def_10))
| ~ rearsegP(sK59,cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_70041,c_184]) ).
tcf(c_71987,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(app(app(cons(sK57,iPr_def_12),nil),X0)) ),
inference(superposition,[status(thm)],[c_70200,c_67]) ).
tcf(c_71993,plain,
( frontsegP(cons(sK57,iPr_def_12),cons(sK57,iPr_def_12))
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_70200,c_382]) ).
tcf(c_71994,plain,
( rearsegP(cons(sK57,iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_70200,c_379]) ).
tcf(c_71996,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_12) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ( app(X0,nil) != cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_70200,c_225]) ).
tcf(c_71997,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ( app(cons(sK57,iPr_def_12),X0) != cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_70200,c_226]) ).
tcf(c_72000,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_70200,c_193]) ).
tcf(c_72001,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_12),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_70200,c_186]) ).
tcf(c_72006,plain,
rearsegP(cons(sK57,iPr_def_12),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_71994,c_141,c_69986]) ).
tcf(c_72007,plain,
frontsegP(cons(sK57,iPr_def_12),cons(sK57,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_71993,c_141,c_69986]) ).
tcf(c_72008,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_12),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72001,c_141,c_69986]) ).
tcf(c_72012,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72000,c_141,c_69986]) ).
tcf(c_72017,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK57,iPr_def_12),X0) != cons(sK57,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71997,c_141,c_69986]) ).
tcf(c_72021,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_12) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK57,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71996,c_141,c_69986]) ).
tcf(c_72025,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(app(cons(sK57,iPr_def_12),X0)) ),
inference(light_normalisation,[status(thm)],[c_71987,c_70200]) ).
tcf(c_72026,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,iPr_def_12),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72025,c_141,c_69986]) ).
tcf(c_72077,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ rearsegP(nil,cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_72006,c_184]) ).
tcf(c_72078,plain,
( ( app(sK12(cons(sK57,iPr_def_12),nil),nil) = cons(sK57,iPr_def_12) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_72006,c_66]) ).
tcf(c_72079,plain,
app(sK12(cons(sK57,iPr_def_12),nil),nil) = cons(sK57,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_72078,c_141,c_69986]) ).
tcf(c_72080,plain,
~ rearsegP(nil,cons(sK57,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_72077,c_69996,c_141,c_69986]) ).
tcf(c_72083,plain,
( ( app(cons(sK57,iPr_def_12),sK11(cons(sK57,iPr_def_12),cons(sK57,iPr_def_12))) = cons(sK57,iPr_def_12) )
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_72007,c_63]) ).
tcf(c_72086,plain,
app(cons(sK57,iPr_def_12),sK11(cons(sK57,iPr_def_12),cons(sK57,iPr_def_12))) = cons(sK57,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_72083,c_69986]) ).
tcf(c_72087,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_11,iPr_def_11),X0)) ),
inference(superposition,[status(thm)],[c_69692,c_67]) ).
tcf(c_72090,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_69692,c_167]) ).
tcf(c_72091,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,iPr_def_11) != nil ) ),
inference(superposition,[status(thm)],[c_69692,c_231]) ).
tcf(c_72093,plain,
( frontsegP(cons(sK57,iPr_def_11),iPr_def_11)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_69692,c_382]) ).
tcf(c_72094,plain,
( rearsegP(cons(sK57,iPr_def_11),iPr_def_11)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_69692,c_379]) ).
tcf(c_72095,plain,
( ssList(cons(sK57,iPr_def_11))
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_69692,c_153]) ).
tcf(c_72096,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ( app(X0,iPr_def_11) != cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_69692,c_225]) ).
tcf(c_72097,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_69692,c_226]) ).
tcf(c_72098,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_11),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_69692,c_176]) ).
tcf(c_72100,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X1),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_69692,c_193]) ).
tcf(c_72101,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_11),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_69692,c_186]) ).
tcf(c_72102,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_11),X0)
| ~ ssList(iPr_def_11)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_69692,c_166]) ).
tcf(c_72103,plain,
( ( sK58 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,iPr_def_11) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_69692,c_25227]) ).
tcf(c_72104,plain,
( memberP(cons(sK57,iPr_def_11),sK57)
| ~ ssList(iPr_def_11)
| ~ ssList(app(iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_69692,c_12209]) ).
tcf(c_72105,plain,
( ( sK56 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,sK56) != cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_69692,c_45750]) ).
tcf(c_72106,plain,
( ( sK58 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,sK58) != cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_69692,c_42467]) ).
tcf(c_72107,plain,
( ( sK59 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( cons(sK57,sK59) != cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_69692,c_38523]) ).
tcf(c_72108,plain,
ssList(cons(sK57,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_72095,c_12706]) ).
tcf(c_72109,plain,
rearsegP(cons(sK57,iPr_def_11),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_72094,c_12706]) ).
tcf(c_72110,plain,
frontsegP(cons(sK57,iPr_def_11),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_72093,c_12706]) ).
tcf(c_72111,plain,
( memberP(cons(sK57,iPr_def_11),sK57)
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_72104,c_69692]) ).
tcf(c_72112,plain,
( memberP(cons(sK57,iPr_def_11),sK57)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72111,c_12706]) ).
tcf(c_72115,plain,
( ( sK58 = iPr_def_11 )
| ( cons(sK57,iPr_def_11) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72103,c_12706]) ).
tcf(c_72118,plain,
cons(sK57,iPr_def_11) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_72091,c_13775,c_12706]) ).
tcf(c_72119,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_11),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72102,c_12706]) ).
tcf(c_72123,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_11),X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72101,c_12706]) ).
tcf(c_72127,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_11),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72098,c_12706]) ).
tcf(c_72131,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72090,c_12706]) ).
tcf(c_72135,plain,
( ( sK59 = iPr_def_11 )
| ( cons(sK57,sK59) != cons(sK57,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72107,c_12706]) ).
tcf(c_72138,plain,
( ( sK58 = iPr_def_11 )
| ( cons(sK57,sK58) != cons(sK57,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72106,c_12706]) ).
tcf(c_72141,plain,
( ( sK56 = iPr_def_11 )
| ( cons(sK57,sK56) != cons(sK57,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72105,c_12706]) ).
tcf(c_72144,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK57,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72097,c_12706]) ).
tcf(c_72148,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,iPr_def_11) != cons(sK57,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72096,c_12706]) ).
tcf(c_72152,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72100,c_12706]) ).
tcf(c_72157,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,iPr_def_11),X0)) ),
inference(light_normalisation,[status(thm)],[c_72087,c_69692]) ).
tcf(c_72158,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X0),iPr_def_11)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,iPr_def_11),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72157,c_12706]) ).
tcf(c_72282,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK56,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_71525,c_183]) ).
tcf(c_72283,plain,
( ( app(sK56,app(sK56,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK59)))
| ~ rearsegP(sK59,app(sK56,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_71525,c_184]) ).
tcf(c_72284,plain,
( ( app(sK12(app(sK56,app(sK56,sK59)),sK59),sK59) = app(sK56,app(sK56,sK59)) )
| ~ ssList(sK59)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_71525,c_66]) ).
tcf(c_72286,plain,
( ( app(sK12(app(sK56,app(sK56,sK59)),sK59),sK59) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72284,c_8916]) ).
tcf(c_72290,plain,
( ( app(sK56,app(sK56,sK59)) = sK59 )
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK59)))
| ~ rearsegP(sK59,app(sK56,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72283,c_8916]) ).
tcf(c_72488,plain,
( ( app(sK56,app(sK59,sK59)) = app(sK56,sK59) )
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK59)))
| ~ frontsegP(app(sK56,sK59),app(sK56,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_70542,c_174]) ).
tcf(c_72489,plain,
( ( app(app(sK56,sK59),sK11(app(sK56,app(sK59,sK59)),app(sK56,sK59))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_70542,c_63]) ).
tcf(c_72503,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK56,app(sK59,sK59)),X0),X0),sK14(app(sK56,app(sK59,sK59)),X0)) = app(sK56,app(sK59,sK59)) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK56,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_70551,c_70]) ).
tcf(c_72504,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,app(sK59,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK56,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_70551,c_190]) ).
tcf(c_72505,plain,
! [X0: $i] :
( ( app(sK56,app(sK59,sK59)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK56,app(sK59,sK59)))
| ~ segmentP(X0,app(sK56,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_70551,c_191]) ).
tcf(c_72528,plain,
( ( app(app(sK13(app(sK56,app(sK59,sK59)),sK59),sK59),sK14(app(sK56,app(sK59,sK59)),sK59)) = app(sK56,app(sK59,sK59)) )
| ~ ssList(sK59)
| ~ ssList(app(sK56,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_70556,c_70]) ).
tcf(c_72529,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK59,sK59)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK56,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_70556,c_190]) ).
tcf(c_72530,plain,
( ( app(sK56,app(sK59,sK59)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK56,app(sK59,sK59)))
| ~ segmentP(sK59,app(sK56,app(sK59,sK59))) ),
inference(superposition,[status(thm)],[c_70556,c_191]) ).
tcf(c_72532,plain,
( ( app(sK56,app(sK59,sK59)) = sK59 )
| ~ ssList(app(sK56,app(sK59,sK59)))
| ~ segmentP(sK59,app(sK56,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72530,c_8916]) ).
tcf(c_72536,plain,
( ( app(app(sK13(app(sK56,app(sK59,sK59)),sK59),sK59),sK14(app(sK56,app(sK59,sK59)),sK59)) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,app(sK59,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72528,c_8916]) ).
tcf(c_72544,plain,
( ( app(sK56,app(sK58,sK59)) = app(sK56,sK58) )
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK59)))
| ~ frontsegP(app(sK56,sK58),app(sK56,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_71137,c_174]) ).
tcf(c_72545,plain,
( ( app(app(sK56,sK58),sK11(app(sK56,app(sK58,sK59)),app(sK56,sK58))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_71137,c_63]) ).
tcf(c_72559,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK56,app(sK58,sK59)),X0),X0),sK14(app(sK56,app(sK58,sK59)),X0)) = app(sK56,app(sK58,sK59)) )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK56,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_71163,c_70]) ).
tcf(c_72560,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,app(sK58,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK56,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_71163,c_190]) ).
tcf(c_72561,plain,
! [X0: $i] :
( ( app(sK56,app(sK58,sK59)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK56,app(sK58,sK59)))
| ~ segmentP(X0,app(sK56,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_71163,c_191]) ).
tcf(c_72584,plain,
( ( app(app(sK13(app(sK56,app(sK58,sK59)),sK58),sK58),sK14(app(sK56,app(sK58,sK59)),sK58)) = app(sK56,app(sK58,sK59)) )
| ~ ssList(sK58)
| ~ ssList(app(sK56,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_71168,c_70]) ).
tcf(c_72585,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK58,sK59)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK56,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_71168,c_190]) ).
tcf(c_72586,plain,
( ( app(sK56,app(sK58,sK59)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK56,app(sK58,sK59)))
| ~ segmentP(sK58,app(sK56,app(sK58,sK59))) ),
inference(superposition,[status(thm)],[c_71168,c_191]) ).
tcf(c_72588,plain,
( ( app(sK56,app(sK58,sK59)) = sK58 )
| ~ ssList(app(sK56,app(sK58,sK59)))
| ~ segmentP(sK58,app(sK56,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72586,c_8915]) ).
tcf(c_72592,plain,
( ( app(app(sK13(app(sK56,app(sK58,sK59)),sK58),sK58),sK14(app(sK56,app(sK58,sK59)),sK58)) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,app(sK58,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72584,c_8915]) ).
tcf(c_72600,plain,
( ( app(sK56,app(sK56,sK59)) = app(sK56,sK56) )
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK59)))
| ~ frontsegP(app(sK56,sK56),app(sK56,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_71528,c_174]) ).
tcf(c_72601,plain,
( ( app(app(sK56,sK56),sK11(app(sK56,app(sK56,sK59)),app(sK56,sK56))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_71528,c_63]) ).
tcf(c_72624,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK57,iPr_def_11)) = app(X0,app(X1,cons(sK57,iPr_def_11))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_72108,c_228]) ).
tcf(c_72625,plain,
cons(sK57,cons(sK57,iPr_def_11)) = app(iPr_def_11,cons(sK57,iPr_def_11)),
inference(superposition,[status(thm)],[c_72108,c_16606]) ).
tcf(c_72626,plain,
app(app(sK56,cons(sK57,iPr_def_11)),sK59) = app(sK56,app(cons(sK57,iPr_def_11),sK59)),
inference(superposition,[status(thm)],[c_72108,c_63530]) ).
tcf(c_72627,plain,
app(app(sK58,cons(sK57,iPr_def_11)),sK59) = app(sK58,app(cons(sK57,iPr_def_11),sK59)),
inference(superposition,[status(thm)],[c_72108,c_63529]) ).
tcf(c_72628,plain,
app(app(sK59,cons(sK57,iPr_def_11)),sK59) = app(sK59,app(cons(sK57,iPr_def_11),sK59)),
inference(superposition,[status(thm)],[c_72108,c_63528]) ).
tcf(c_72629,plain,
! [X0: $i] :
( ( app(app(cons(sK57,iPr_def_11),X0),sK59) = app(cons(sK57,iPr_def_11),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_72108,c_22629]) ).
tcf(c_72630,plain,
hd(app(iPr_def_11,cons(sK57,iPr_def_11))) = sK57,
inference(superposition,[status(thm)],[c_72108,c_19198]) ).
tcf(c_72631,plain,
hd(cons(sK60,cons(sK57,iPr_def_11))) = sK60,
inference(superposition,[status(thm)],[c_72108,c_18952]) ).
tcf(c_72632,plain,
tl(cons(sK60,cons(sK57,iPr_def_11))) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_72108,c_18951]) ).
tcf(c_72633,plain,
cons(sK57,app(cons(sK57,iPr_def_11),sK56)) = app(cons(sK57,cons(sK57,iPr_def_11)),sK56),
inference(superposition,[status(thm)],[c_72108,c_37365]) ).
tcf(c_72634,plain,
tl(cons(sK7,cons(sK57,iPr_def_11))) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_72108,c_13978]) ).
tcf(c_72635,plain,
tl(cons(sK6,cons(sK57,iPr_def_11))) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_72108,c_13977]) ).
tcf(c_72636,plain,
cons(sK57,app(cons(sK57,iPr_def_11),sK58)) = app(cons(sK57,cons(sK57,iPr_def_11)),sK58),
inference(superposition,[status(thm)],[c_72108,c_37364]) ).
tcf(c_72637,plain,
hd(cons(sK7,cons(sK57,iPr_def_11))) = sK7,
inference(superposition,[status(thm)],[c_72108,c_13802]) ).
tcf(c_72638,plain,
hd(cons(sK6,cons(sK57,iPr_def_11))) = sK6,
inference(superposition,[status(thm)],[c_72108,c_13801]) ).
tcf(c_72639,plain,
cons(sK57,app(cons(sK57,iPr_def_11),sK59)) = app(cons(sK57,cons(sK57,iPr_def_11)),sK59),
inference(superposition,[status(thm)],[c_72108,c_37363]) ).
tcf(c_72640,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK57,iPr_def_11))) = app(cons(sK57,X0),cons(sK57,iPr_def_11)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_72108,c_22147]) ).
tcf(c_72641,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK57,iPr_def_11)) = tl(app(sK56,cons(sK57,iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_72108,c_21660]) ).
tcf(c_72642,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK57,iPr_def_11)) = tl(app(sK58,cons(sK57,iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_72108,c_21659]) ).
tcf(c_72643,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK57,iPr_def_11)) = tl(app(sK59,cons(sK57,iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_72108,c_21658]) ).
tcf(c_72644,plain,
( duplicatefreeP(cons(sK57,iPr_def_11))
| ( app(app(sK42(cons(sK57,iPr_def_11)),cons(sK40(cons(sK57,iPr_def_11)),sK43(cons(sK57,iPr_def_11)))),cons(sK41(cons(sK57,iPr_def_11)),sK44(cons(sK57,iPr_def_11)))) = cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_72108,c_124]) ).
tcf(c_72645,plain,
( strictorderedP(cons(sK57,iPr_def_11))
| ( app(app(sK37(cons(sK57,iPr_def_11)),cons(sK35(cons(sK57,iPr_def_11)),sK38(cons(sK57,iPr_def_11)))),cons(sK36(cons(sK57,iPr_def_11)),sK39(cons(sK57,iPr_def_11)))) = cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_72108,c_116]) ).
tcf(c_72646,plain,
( totalorderedP(cons(sK57,iPr_def_11))
| ( app(app(sK32(cons(sK57,iPr_def_11)),cons(sK30(cons(sK57,iPr_def_11)),sK33(cons(sK57,iPr_def_11)))),cons(sK31(cons(sK57,iPr_def_11)),sK34(cons(sK57,iPr_def_11)))) = cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_72108,c_108]) ).
tcf(c_72647,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK57,iPr_def_11))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_72108,c_19187]) ).
tcf(c_72648,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_11) = nil )
| ( app(tl(cons(sK57,iPr_def_11)),X0) = tl(app(cons(sK57,iPr_def_11),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_72108,c_234]) ).
tcf(c_72649,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK57,iPr_def_11))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_72108,c_19186]) ).
tcf(c_72650,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK57,iPr_def_11))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_72108,c_19185]) ).
tcf(c_72651,plain,
( equalelemsP(cons(sK57,iPr_def_11))
| ( app(sK47(cons(sK57,iPr_def_11)),cons(sK45(cons(sK57,iPr_def_11)),cons(sK46(cons(sK57,iPr_def_11)),sK48(cons(sK57,iPr_def_11))))) = cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_72108,c_132]) ).
tcf(c_72652,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_11) = nil )
| ( hd(app(cons(sK57,iPr_def_11),X0)) = hd(cons(sK57,iPr_def_11)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_72108,c_233]) ).
tcf(c_72653,plain,
( ( cons(sK57,iPr_def_11) = nil )
| ( cons(hd(cons(sK57,iPr_def_11)),tl(cons(sK57,iPr_def_11))) = cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_72108,c_224]) ).
tcf(c_72654,plain,
( ( cons(sK57,iPr_def_11) = nil )
| ( cons(sK50(cons(sK57,iPr_def_11)),sK49(cons(sK57,iPr_def_11))) = cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_72108,c_147]) ).
tcf(c_72655,plain,
tl(cons(sK57,cons(sK57,iPr_def_11))) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_72108,c_13997]) ).
tcf(c_72656,plain,
hd(cons(sK57,cons(sK57,iPr_def_11))) = sK57,
inference(superposition,[status(thm)],[c_72108,c_13821]) ).
tcf(c_72657,plain,
( ( cons(sK57,iPr_def_11) = nil )
| ( tl(cons(sK57,iPr_def_11)) = sK52(cons(sK57,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_72108,c_222]) ).
tcf(c_72658,plain,
( ( cons(sK57,iPr_def_11) = nil )
| ( hd(cons(sK57,iPr_def_11)) = sK51(cons(sK57,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_72108,c_220]) ).
tcf(c_72659,plain,
( duplicatefreeP(cons(sK57,iPr_def_11))
| ( sK40(cons(sK57,iPr_def_11)) = sK41(cons(sK57,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_72108,c_123]) ).
tcf(c_72660,plain,
app(cons(sK57,iPr_def_11),nil) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_72108,c_232]) ).
tcf(c_72661,plain,
app(nil,cons(sK57,iPr_def_11)) = cons(sK57,iPr_def_11),
inference(superposition,[status(thm)],[c_72108,c_155]) ).
tcf(c_72670,plain,
( ( cons(sK57,iPr_def_11) = nil )
| ( sK51(cons(sK57,iPr_def_11)) = sK57 ) ),
inference(light_normalisation,[status(thm)],[c_72658,c_14672]) ).
tcf(c_72673,plain,
( ( cons(sK57,iPr_def_11) = nil )
| ( sK52(cons(sK57,iPr_def_11)) = iPr_def_11 ) ),
inference(light_normalisation,[status(thm)],[c_72657,c_14844]) ).
tcf(c_72676,plain,
cons(sK57,cons(sK57,cons(sK57,sK59))) = app(cons(sK57,cons(sK57,iPr_def_11)),sK59),
inference(light_normalisation,[status(thm)],[c_72639,c_37875,c_37883]) ).
tcf(c_72677,plain,
cons(sK57,cons(sK57,cons(sK57,sK58))) = app(cons(sK57,cons(sK57,iPr_def_11)),sK58),
inference(light_normalisation,[status(thm)],[c_72636,c_41517,c_41528]) ).
tcf(c_72678,plain,
cons(sK57,cons(sK57,cons(sK57,sK56))) = app(cons(sK57,cons(sK57,iPr_def_11)),sK56),
inference(light_normalisation,[status(thm)],[c_72633,c_45010,c_45025]) ).
tcf(c_72679,plain,
app(app(sK59,cons(sK57,iPr_def_11)),sK59) = app(sK59,cons(sK57,cons(sK57,sK59))),
inference(light_normalisation,[status(thm)],[c_72628,c_37875,c_37883]) ).
tcf(c_72680,plain,
app(app(sK58,cons(sK57,iPr_def_11)),sK59) = app(sK58,cons(sK57,cons(sK57,sK59))),
inference(light_normalisation,[status(thm)],[c_72627,c_37875,c_37883]) ).
tcf(c_72681,plain,
app(app(sK56,cons(sK57,iPr_def_11)),sK59) = app(sK56,cons(sK57,cons(sK57,sK59))),
inference(light_normalisation,[status(thm)],[c_72626,c_37875,c_37883]) ).
tcf(c_72695,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_11) = nil )
| ( hd(app(cons(sK57,iPr_def_11),X0)) = sK57 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_72652,c_14672]) ).
tcf(c_72702,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_11) = nil )
| ( tl(app(cons(sK57,iPr_def_11),X0)) = app(iPr_def_11,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_72648,c_14844]) ).
tcf(c_72847,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_11),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_11,X0)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_72109,c_183]) ).
tcf(c_72848,plain,
( ( cons(sK57,iPr_def_11) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK57,iPr_def_11))
| ~ rearsegP(iPr_def_11,cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_72109,c_184]) ).
tcf(c_72849,plain,
( ( app(sK12(cons(sK57,iPr_def_11),iPr_def_11),iPr_def_11) = cons(sK57,iPr_def_11) )
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_72109,c_66]) ).
tcf(c_72850,plain,
app(sK12(cons(sK57,iPr_def_11),iPr_def_11),iPr_def_11) = cons(sK57,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_72849,c_12706,c_72108]) ).
tcf(c_72851,plain,
( ( cons(sK57,iPr_def_11) = iPr_def_11 )
| ~ rearsegP(iPr_def_11,cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72848,c_12706,c_72108]) ).
tcf(c_72864,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_11),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_72110,c_173]) ).
tcf(c_72865,plain,
( ( cons(sK57,iPr_def_11) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK57,iPr_def_11))
| ~ frontsegP(iPr_def_11,cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_72110,c_174]) ).
tcf(c_72866,plain,
( ( app(iPr_def_11,sK11(cons(sK57,iPr_def_11),iPr_def_11)) = cons(sK57,iPr_def_11) )
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_72110,c_63]) ).
tcf(c_72868,plain,
app(iPr_def_11,sK11(cons(sK57,iPr_def_11),iPr_def_11)) = cons(sK57,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_72866,c_12706,c_72108]) ).
tcf(c_72869,plain,
( ( cons(sK57,iPr_def_11) = iPr_def_11 )
| ~ frontsegP(iPr_def_11,cons(sK57,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72865,c_12706,c_72108]) ).
tcf(c_72873,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X0),iPr_def_10)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_11,iPr_def_10),X0)) ),
inference(superposition,[status(thm)],[c_69693,c_67]) ).
tcf(c_72876,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(iPr_def_10,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_69693,c_167]) ).
tcf(c_72878,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ( cons(sK57,iPr_def_10) != nil ) ),
inference(superposition,[status(thm)],[c_69693,c_230]) ).
tcf(c_72879,plain,
( frontsegP(cons(sK57,iPr_def_10),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_69693,c_382]) ).
tcf(c_72880,plain,
( rearsegP(cons(sK57,iPr_def_10),iPr_def_10)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_69693,c_379]) ).
tcf(c_72882,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_69693,c_225]) ).
tcf(c_72883,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_69693,c_226]) ).
tcf(c_72884,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_69693,c_176]) ).
tcf(c_72885,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_10),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_69693,c_165]) ).
tcf(c_72886,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X1),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_69693,c_193]) ).
tcf(c_72887,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_69693,c_186]) ).
tcf(c_72888,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_10),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_69693,c_166]) ).
tcf(c_72889,plain,
( ( sK56 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK56) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_69693,c_45750]) ).
tcf(c_72890,plain,
( ( sK58 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK58) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_69693,c_42467]) ).
tcf(c_72891,plain,
( ( sK59 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK59) != cons(sK57,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_69693,c_38523]) ).
tcf(c_72892,plain,
rearsegP(cons(sK57,iPr_def_10),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_72880,c_12706,c_18245]) ).
tcf(c_72893,plain,
frontsegP(cons(sK57,iPr_def_10),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_72879,c_12706,c_18245]) ).
tcf(c_72894,plain,
cons(sK57,sK59) != cons(sK57,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_72891,c_25789,c_18245]) ).
tcf(c_72895,plain,
cons(sK57,sK58) != cons(sK57,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_72890,c_68476,c_18245]) ).
tcf(c_72896,plain,
( ( sK56 = iPr_def_10 )
| ( cons(sK57,sK56) != cons(sK57,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72889,c_18245]) ).
tcf(c_72899,plain,
cons(sK57,iPr_def_10) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_72878,c_18255,c_12706,c_18245]) ).
tcf(c_72900,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_10),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72888,c_12706,c_18245]) ).
tcf(c_72904,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72887,c_12706,c_18245]) ).
tcf(c_72908,plain,
! [X0: $i] :
( memberP(cons(sK57,iPr_def_10),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72885,c_12706,c_18245]) ).
tcf(c_72912,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72884,c_12706,c_18245]) ).
tcf(c_72916,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK57,iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72876,c_12706,c_18245]) ).
tcf(c_72921,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK57,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72883,c_12706,c_18245]) ).
tcf(c_72925,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != cons(sK57,iPr_def_10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72882,c_12706,c_18245]) ).
tcf(c_72929,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72886,c_12706,c_18245]) ).
tcf(c_72934,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X0),iPr_def_10)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,iPr_def_10),X0)) ),
inference(light_normalisation,[status(thm)],[c_72873,c_69693]) ).
tcf(c_72935,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_10),X0),iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,iPr_def_10),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72934,c_12706,c_18245]) ).
tcf(c_72973,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_72892,c_183]) ).
tcf(c_72974,plain,
( ( cons(sK57,iPr_def_10) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK57,iPr_def_10))
| ~ rearsegP(iPr_def_10,cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_72892,c_184]) ).
tcf(c_72975,plain,
( ( app(sK12(cons(sK57,iPr_def_10),iPr_def_10),iPr_def_10) = cons(sK57,iPr_def_10) )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_72892,c_66]) ).
tcf(c_72976,plain,
app(sK12(cons(sK57,iPr_def_10),iPr_def_10),iPr_def_10) = cons(sK57,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_72975,c_18245,c_59801]) ).
tcf(c_72977,plain,
( ( cons(sK57,iPr_def_10) = iPr_def_10 )
| ~ rearsegP(iPr_def_10,cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72974,c_18245,c_59801]) ).
tcf(c_72981,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_10),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_72893,c_173]) ).
tcf(c_72982,plain,
( ( cons(sK57,iPr_def_10) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK57,iPr_def_10))
| ~ frontsegP(iPr_def_11,cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_72893,c_174]) ).
tcf(c_72983,plain,
( ( app(iPr_def_11,sK11(cons(sK57,iPr_def_10),iPr_def_11)) = cons(sK57,iPr_def_10) )
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK57,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_72893,c_63]) ).
tcf(c_72985,plain,
app(iPr_def_11,sK11(cons(sK57,iPr_def_10),iPr_def_11)) = cons(sK57,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_72983,c_12706,c_59801]) ).
tcf(c_72986,plain,
( ( cons(sK57,iPr_def_10) = iPr_def_11 )
| ~ frontsegP(iPr_def_11,cons(sK57,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72982,c_12706,c_59801]) ).
tcf(c_72996,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK56,app(sK56,sK59)),X0),X0),sK14(app(sK56,app(sK56,sK59)),X0)) = app(sK56,app(sK56,sK59)) )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK56,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_71537,c_70]) ).
tcf(c_72997,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,app(sK56,sK59)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK56,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_71537,c_190]) ).
tcf(c_72998,plain,
! [X0: $i] :
( ( app(sK56,app(sK56,sK59)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK56,app(sK56,sK59)))
| ~ segmentP(X0,app(sK56,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_71537,c_191]) ).
tcf(c_73021,plain,
( ( app(app(sK13(app(sK56,app(sK56,sK59)),sK56),sK56),sK14(app(sK56,app(sK56,sK59)),sK56)) = app(sK56,app(sK56,sK59)) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_71542,c_70]) ).
tcf(c_73022,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK56,sK59)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK56,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_71542,c_190]) ).
tcf(c_73023,plain,
( ( app(sK56,app(sK56,sK59)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,app(sK56,sK59)))
| ~ segmentP(sK56,app(sK56,app(sK56,sK59))) ),
inference(superposition,[status(thm)],[c_71542,c_191]) ).
tcf(c_73025,plain,
( ( app(sK56,app(sK56,sK59)) = sK56 )
| ~ ssList(app(sK56,app(sK56,sK59)))
| ~ segmentP(sK56,app(sK56,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73023,c_8907]) ).
tcf(c_73029,plain,
( ( app(app(sK13(app(sK56,app(sK56,sK59)),sK56),sK56),sK14(app(sK56,app(sK56,sK59)),sK56)) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,app(sK56,sK59))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73021,c_8907]) ).
tcf(c_73040,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ( app(sK8(cons(sK57,sK59),X0),cons(X0,sK9(cons(sK57,sK59),X0))) = cons(sK57,sK59) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_68490,c_57]) ).
tcf(c_73041,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ( app(nil,sK8(cons(sK57,sK59),X0)) = sK8(cons(sK57,sK59),X0) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_68490,c_12510]) ).
tcf(c_73042,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK58,X0)
| ( X0 = sK57 )
| ~ ssList(sK59)
| ~ ssItem(sK57)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_68490,c_170]) ).
tcf(c_73044,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK59,X0)
| memberP(sK58,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_68490,c_38518]) ).
tcf(c_73050,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK58,X0)
| ( X0 = sK57 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73042,c_8916,c_8914]) ).
tcf(c_73056,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ( app(nil,sK8(cons(sK57,sK59),X0)) = sK8(cons(sK57,sK59),X0) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73041,c_38491]) ).
tcf(c_73061,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ( app(sK8(cons(sK57,sK59),X0),cons(X0,sK9(cons(sK57,sK59),X0))) = cons(sK57,sK59) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73040,c_38491]) ).
tcf(c_73098,plain,
( segmentP(iPr_def_10,cons(sK57,sK59))
| ~ ssList(nil)
| ~ ssList(app(iPr_def_10,nil)) ),
inference(superposition,[status(thm)],[c_18244,c_68509]) ).
tcf(c_73100,plain,
! [X0: $i] :
( ( app(app(sK13(app(iPr_def_10,X0),cons(sK57,sK59)),cons(sK57,sK59)),sK14(app(iPr_def_10,X0),cons(sK57,sK59))) = app(iPr_def_10,X0) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_68509,c_70]) ).
tcf(c_73101,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(iPr_def_10,X1))
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_68509,c_190]) ).
tcf(c_73102,plain,
! [X0: $i] :
( ( app(iPr_def_10,X0) = cons(sK57,sK59) )
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ ssList(app(iPr_def_10,X0))
| ~ segmentP(cons(sK57,sK59),app(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_68509,c_191]) ).
tcf(c_73103,plain,
( segmentP(iPr_def_10,cons(sK57,sK59))
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_73098,c_18244]) ).
tcf(c_73104,plain,
segmentP(iPr_def_10,cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_73103,c_18245,c_141]) ).
tcf(c_73105,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X1))
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73101,c_38491]) ).
tcf(c_73111,plain,
! [X0: $i] :
( ( app(iPr_def_10,X0) = cons(sK57,sK59) )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X0))
| ~ segmentP(cons(sK57,sK59),app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73102,c_38491]) ).
tcf(c_73116,plain,
! [X0: $i] :
( ( app(app(sK13(app(iPr_def_10,X0),cons(sK57,sK59)),cons(sK57,sK59)),sK14(app(iPr_def_10,X0),cons(sK57,sK59))) = app(iPr_def_10,X0) )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73100,c_38491]) ).
tcf(c_73128,plain,
( ( cons(sK57,sK59) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( iPr_def_10 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8904,c_68495]) ).
tcf(c_73130,plain,
( ( cons(sK57,sK59) = sK11(iPr_def_12,sK58) )
| ~ ssList(sK11(iPr_def_12,sK58))
| ( iPr_def_10 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_17820,c_68495]) ).
tcf(c_73133,plain,
( ( sK11(app(sK58,sK58),sK58) = cons(sK57,sK59) )
| ~ ssList(sK11(app(sK58,sK58),sK58))
| ( app(sK58,sK58) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_55337,c_68495]) ).
tcf(c_73134,plain,
( ( sK11(app(sK58,sK59),sK58) = cons(sK57,sK59) )
| ~ ssList(sK11(app(sK58,sK59),sK58))
| ( app(sK58,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_56010,c_68495]) ).
tcf(c_73135,plain,
( ( sK11(app(sK58,sK56),sK58) = cons(sK57,sK59) )
| ~ ssList(sK11(app(sK58,sK56),sK58))
| ( app(sK58,sK56) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_58342,c_68495]) ).
tcf(c_73136,plain,
( ( cons(sK57,sK59) = sK11(iPr_def_10,sK58) )
| ~ ssList(sK11(iPr_def_10,sK58)) ),
inference(superposition,[status(thm)],[c_52225,c_68495]) ).
tcf(c_73159,plain,
( ( nil = sK58 )
| ~ ssList(nil)
| ( cons(sK57,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_38598,c_68499]) ).
tcf(c_73160,plain,
( ( nil = sK58 )
| ( cons(sK57,sK59) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73159,c_141]) ).
tcf(c_73171,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),cons(sK57,sK59))
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_192,c_68503]) ).
tcf(c_73172,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_194,c_68503]) ).
tcf(c_73173,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_57191,c_68503]) ).
tcf(c_73174,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),sK59)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73173,c_8916]) ).
tcf(c_73177,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),cons(sK57,sK59))
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73171,c_38491]) ).
tcf(c_73180,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),nil)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73172,c_141,c_38491]) ).
tcf(c_73199,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ ssList(app(app(X0,cons(hd(tl(iPr_def_12)),X1)),tl(iPr_def_12)))
| ~ duplicatefreeP(app(app(X0,cons(hd(tl(iPr_def_12)),X1)),cons(hd(tl(iPr_def_12)),tl(tl(iPr_def_12))))) ),
inference(superposition,[status(thm)],[c_20002,c_130]) ).
tcf(c_73200,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(hd(tl(iPr_def_12)),X1)
| ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ ssList(app(app(X0,tl(iPr_def_12)),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(hd(tl(iPr_def_12)),tl(tl(iPr_def_12)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_20002,c_122]) ).
tcf(c_73201,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(hd(tl(iPr_def_12)),X1)
| ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ ssList(app(app(X0,tl(iPr_def_12)),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(hd(tl(iPr_def_12)),tl(tl(iPr_def_12)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_20002,c_114]) ).
tcf(c_73202,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ ssList(app(app(X0,tl(iPr_def_12)),cons(hd(tl(iPr_def_12)),X1)))
| ~ duplicatefreeP(app(app(X0,cons(hd(tl(iPr_def_12)),tl(tl(iPr_def_12)))),cons(hd(tl(iPr_def_12)),X1))) ),
inference(superposition,[status(thm)],[c_20002,c_130]) ).
tcf(c_73206,plain,
! [X0: $i] :
( memberP(app(X0,tl(iPr_def_12)),hd(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ ssList(X0)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ ssList(app(X0,cons(hd(tl(iPr_def_12)),tl(tl(iPr_def_12))))) ),
inference(superposition,[status(thm)],[c_20002,c_54]) ).
tcf(c_73207,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(iPr_def_12)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(hd(tl(iPr_def_12)),tl(tl(iPr_def_12))))) ),
inference(superposition,[status(thm)],[c_20002,c_122]) ).
tcf(c_73208,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(iPr_def_12)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(hd(tl(iPr_def_12)),tl(tl(iPr_def_12))))) ),
inference(superposition,[status(thm)],[c_20002,c_114]) ).
tcf(c_73212,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = nil )
| ( hd(tl(iPr_def_12)) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ ssList(app(X0,cons(X1,tl(iPr_def_12))))
| ~ equalelemsP(app(X0,cons(X1,cons(hd(tl(iPr_def_12)),tl(tl(iPr_def_12)))))) ),
inference(superposition,[status(thm)],[c_20002,c_137]) ).
tcf(c_73215,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = nil )
| ( hd(tl(iPr_def_12)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ frontsegP(cons(X0,X1),tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20002,c_178]) ).
tcf(c_73216,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,tl(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ frontsegP(cons(X0,X1),tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20002,c_179]) ).
tcf(c_73217,plain,
( ( tl(iPr_def_12) = nil )
| ( tl(tl(iPr_def_12)) = nil )
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ( tl(iPr_def_12) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_20002,c_27842]) ).
tcf(c_73218,plain,
( ( tl(iPr_def_12) = nil )
| ( hd(tl(iPr_def_12)) = sK57 )
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ( tl(iPr_def_12) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_20002,c_27744]) ).
tcf(c_73219,plain,
( ( tl(iPr_def_12) = nil )
| ( hd(tl(iPr_def_12)) = sK57 )
| ~ frontsegP(iPr_def_11,tl(iPr_def_12))
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20002,c_27481]) ).
tcf(c_73220,plain,
( ( tl(iPr_def_12) = nil )
| ( hd(tl(iPr_def_12)) = sK57 )
| ~ frontsegP(tl(iPr_def_12),iPr_def_11)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20002,c_27471]) ).
tcf(c_73221,plain,
( frontsegP(nil,tl(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ frontsegP(iPr_def_11,tl(iPr_def_12))
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20002,c_26657]) ).
tcf(c_73222,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = nil )
| ( tl(tl(iPr_def_12)) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ( cons(X0,X1) != tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_20002,c_144]) ).
tcf(c_73223,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = nil )
| ( hd(tl(iPr_def_12)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ( cons(X0,X1) != tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_20002,c_143]) ).
tcf(c_73224,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = nil )
| ( hd(tl(iPr_def_12)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ frontsegP(tl(iPr_def_12),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_20002,c_178]) ).
tcf(c_73225,plain,
! [X0: $i,X1: $i] :
( frontsegP(tl(tl(iPr_def_12)),X1)
| ( tl(iPr_def_12) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ frontsegP(tl(iPr_def_12),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_20002,c_179]) ).
tcf(c_73226,plain,
! [X0: $i] :
( memberP(tl(tl(iPr_def_12)),X0)
| ( tl(iPr_def_12) = nil )
| ( hd(tl(iPr_def_12)) = X0 )
| ~ ssItem(X0)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ memberP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_20002,c_170]) ).
tcf(c_73227,plain,
( lt(hd(tl(iPr_def_12)),hd(tl(tl(iPr_def_12))))
| ( tl(iPr_def_12) = nil )
| ( tl(tl(iPr_def_12)) = nil )
| ~ strictorderedP(tl(iPr_def_12))
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20002,c_214]) ).
tcf(c_73228,plain,
( leq(hd(tl(iPr_def_12)),hd(tl(tl(iPr_def_12))))
| ( tl(iPr_def_12) = nil )
| ( tl(tl(iPr_def_12)) = nil )
| ~ totalorderedP(tl(iPr_def_12))
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20002,c_208]) ).
tcf(c_73229,plain,
( strictorderedP(tl(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ( tl(tl(iPr_def_12)) = nil )
| ~ strictorderedP(tl(iPr_def_12))
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20002,c_213]) ).
tcf(c_73230,plain,
( totalorderedP(tl(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ( tl(tl(iPr_def_12)) = nil )
| ~ totalorderedP(tl(iPr_def_12))
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20002,c_207]) ).
tcf(c_73232,plain,
( ( tl(iPr_def_12) = nil )
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ( tl(tl(iPr_def_12)) != tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_20002,c_142]) ).
tcf(c_73233,plain,
( memberP(tl(iPr_def_12),hd(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20002,c_168]) ).
tcf(c_73235,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_12),cons(hd(tl(iPr_def_12)),X0))
| ( tl(iPr_def_12) = nil )
| ~ ssList(X0)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ frontsegP(tl(tl(iPr_def_12)),X0) ),
inference(superposition,[status(thm)],[c_20002,c_177]) ).
tcf(c_73236,plain,
! [X0: $i] :
( memberP(tl(iPr_def_12),X0)
| ( tl(iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ memberP(tl(tl(iPr_def_12)),X0) ),
inference(superposition,[status(thm)],[c_20002,c_169]) ).
tcf(c_73237,plain,
! [X0: $i] :
( frontsegP(cons(hd(tl(iPr_def_12)),X0),tl(iPr_def_12))
| ( tl(iPr_def_12) = nil )
| ~ ssList(X0)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ frontsegP(X0,tl(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20002,c_177]) ).
tcf(c_73701,plain,
! [X0: $i] :
( ( app(app(sK13(app(iPr_def_10,X0),nil),nil),sK14(app(iPr_def_10,X0),nil)) = app(iPr_def_10,X0) )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_73180,c_70]) ).
tcf(c_73702,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X0),X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X1)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_73180,c_190]) ).
tcf(c_73703,plain,
! [X0: $i] :
( ( app(iPr_def_10,X0) = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X0))
| ~ segmentP(nil,app(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_73180,c_191]) ).
tcf(c_73704,plain,
! [X0: $i] :
( ( app(iPr_def_10,X0) = nil )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X0))
| ~ segmentP(nil,app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73703,c_141]) ).
tcf(c_73709,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X1)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73702,c_141]) ).
tcf(c_73715,plain,
! [X0: $i] :
( ( app(app(sK13(app(iPr_def_10,X0),nil),nil),sK14(app(iPr_def_10,X0),nil)) = app(iPr_def_10,X0) )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73701,c_141]) ).
tcf(c_73722,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK57,iPr_def_12),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK57,iPr_def_12)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_70201,c_122]) ).
tcf(c_73723,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK57,iPr_def_12),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK57,iPr_def_12)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_70201,c_114]) ).
tcf(c_73724,plain,
! [X0: $i] :
( ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,iPr_def_12),cons(sK57,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK57,iPr_def_12)),cons(sK57,X0))) ),
inference(superposition,[status(thm)],[c_70201,c_130]) ).
tcf(c_73728,plain,
( memberP(cons(sK57,iPr_def_12),sK57)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_70201,c_54]) ).
tcf(c_73729,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X0),cons(sK57,iPr_def_12))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(app(app(nil,cons(sK57,iPr_def_12)),X0)) ),
inference(superposition,[status(thm)],[c_70201,c_67]) ).
tcf(c_73735,plain,
( frontsegP(cons(sK57,iPr_def_12),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_70201,c_382]) ).
tcf(c_73736,plain,
( rearsegP(cons(sK57,iPr_def_12),cons(sK57,iPr_def_12))
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_70201,c_379]) ).
tcf(c_73738,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ( app(X0,cons(sK57,iPr_def_12)) != cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_70201,c_225]) ).
tcf(c_73742,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_12) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ( app(nil,X0) != cons(sK57,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_70201,c_226]) ).
tcf(c_73743,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_12),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_70201,c_176]) ).
tcf(c_73745,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ segmentP(cons(sK57,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_70201,c_193]) ).
tcf(c_73748,plain,
frontsegP(cons(sK57,iPr_def_12),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_73735,c_141,c_69986]) ).
tcf(c_73749,plain,
rearsegP(cons(sK57,iPr_def_12),cons(sK57,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_73736,c_141,c_69986]) ).
tcf(c_73750,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_12),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73743,c_141,c_69986]) ).
tcf(c_73754,plain,
( memberP(cons(sK57,iPr_def_12),sK57)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_73728,c_70201]) ).
tcf(c_73755,plain,
memberP(cons(sK57,iPr_def_12),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_73754,c_12842,c_141,c_8914,c_69986]) ).
tcf(c_73756,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_12) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK57,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73742,c_141,c_69986]) ).
tcf(c_73760,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK57,iPr_def_12)) != cons(sK57,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73738,c_141,c_69986]) ).
tcf(c_73764,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(cons(sK57,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73745,c_141,c_69986]) ).
tcf(c_73769,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X0),cons(sK57,iPr_def_12))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ ssList(app(cons(sK57,iPr_def_12),X0)) ),
inference(light_normalisation,[status(thm)],[c_73729,c_70201]) ).
tcf(c_73770,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_12),X0),cons(sK57,iPr_def_12))
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,iPr_def_12),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73769,c_141,c_69986]) ).
tcf(c_73792,plain,
! [X0: $i] :
( ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK57,iPr_def_12),cons(sK57,X0)))
| ~ ssList(app(cons(sK57,iPr_def_12),cons(sK57,X0))) ),
inference(light_normalisation,[status(thm)],[c_73724,c_70201]) ).
tcf(c_73793,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK57,iPr_def_12),cons(sK57,X0)))
| ~ ssList(app(cons(sK57,iPr_def_12),cons(sK57,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73792,c_12842,c_141,c_8914]) ).
tcf(c_73797,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK57,iPr_def_12),cons(X0,X1)))
| ~ ssList(app(cons(sK57,iPr_def_12),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_73723,c_70201]) ).
tcf(c_73798,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK57,iPr_def_12),cons(X0,X1)))
| ~ ssList(app(cons(sK57,iPr_def_12),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73797,c_12842,c_141,c_8914]) ).
tcf(c_73804,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK57,iPr_def_12),cons(X0,X1)))
| ~ ssList(app(cons(sK57,iPr_def_12),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_73722,c_70201]) ).
tcf(c_73805,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK57,iPr_def_12),cons(X0,X1)))
| ~ ssList(app(cons(sK57,iPr_def_12),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73804,c_12842,c_141,c_8914]) ).
tcf(c_73883,plain,
( ( cons(sK57,iPr_def_12) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_12))
| ~ frontsegP(nil,cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_73748,c_174]) ).
tcf(c_73884,plain,
( ( app(nil,sK11(cons(sK57,iPr_def_12),nil)) = cons(sK57,iPr_def_12) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_73748,c_63]) ).
tcf(c_73885,plain,
app(nil,sK11(cons(sK57,iPr_def_12),nil)) = cons(sK57,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_73884,c_141,c_69986]) ).
tcf(c_73886,plain,
~ frontsegP(nil,cons(sK57,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_73883,c_69996,c_141,c_69986]) ).
tcf(c_73887,plain,
( ( app(sK8(cons(sK57,iPr_def_12),sK57),cons(sK57,sK9(cons(sK57,iPr_def_12),sK57))) = cons(sK57,iPr_def_12) )
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_73755,c_57]) ).
tcf(c_73888,plain,
( ( app(nil,sK8(cons(sK57,iPr_def_12),sK57)) = sK8(cons(sK57,iPr_def_12),sK57) )
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_73755,c_12510]) ).
tcf(c_73890,plain,
app(nil,sK8(cons(sK57,iPr_def_12),sK57)) = sK8(cons(sK57,iPr_def_12),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_73888,c_8914,c_69986]) ).
tcf(c_73891,plain,
app(sK8(cons(sK57,iPr_def_12),sK57),cons(sK57,sK9(cons(sK57,iPr_def_12),sK57))) = cons(sK57,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_73887,c_8914,c_69986]) ).
tcf(c_73892,plain,
( ( app(app(sK13(iPr_def_10,cons(sK57,sK59)),cons(sK57,sK59)),sK14(iPr_def_10,cons(sK57,sK59))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_73104,c_70]) ).
tcf(c_73893,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_73104,c_190]) ).
tcf(c_73894,plain,
( ( cons(sK57,sK59) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(cons(sK57,sK59),iPr_def_10) ),
inference(superposition,[status(thm)],[c_73104,c_191]) ).
tcf(c_73895,plain,
( ( cons(sK57,sK59) = iPr_def_10 )
| ~ segmentP(cons(sK57,sK59),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73894,c_18245,c_38491]) ).
tcf(c_73898,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73893,c_18245,c_38491]) ).
tcf(c_73902,plain,
app(app(sK13(iPr_def_10,cons(sK57,sK59)),cons(sK57,sK59)),sK14(iPr_def_10,cons(sK57,sK59))) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_73892,c_18245,c_38491]) ).
tcf(c_73944,plain,
( ( app(sK12(cons(sK57,iPr_def_12),cons(sK57,iPr_def_12)),cons(sK57,iPr_def_12)) = cons(sK57,iPr_def_12) )
| ~ ssList(cons(sK57,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_73749,c_66]) ).
tcf(c_73945,plain,
app(sK12(cons(sK57,iPr_def_12),cons(sK57,iPr_def_12)),cons(sK57,iPr_def_12)) = cons(sK57,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_73944,c_69986]) ).
tcf(c_73946,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,iPr_def_12),sK57),X0),sK8(cons(sK57,iPr_def_12),sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_12),sK57))
| ~ ssList(app(app(nil,sK8(cons(sK57,iPr_def_12),sK57)),X0)) ),
inference(superposition,[status(thm)],[c_73890,c_67]) ).
tcf(c_73952,plain,
( frontsegP(sK8(cons(sK57,iPr_def_12),sK57),nil)
| ~ ssList(nil)
| ~ ssList(sK8(cons(sK57,iPr_def_12),sK57)) ),
inference(superposition,[status(thm)],[c_73890,c_382]) ).
tcf(c_73953,plain,
( rearsegP(sK8(cons(sK57,iPr_def_12),sK57),sK8(cons(sK57,iPr_def_12),sK57))
| ~ ssList(nil)
| ~ ssList(sK8(cons(sK57,iPr_def_12),sK57)) ),
inference(superposition,[status(thm)],[c_73890,c_379]) ).
tcf(c_73955,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_12),sK57))
| ( app(X0,sK8(cons(sK57,iPr_def_12),sK57)) != sK8(cons(sK57,iPr_def_12),sK57) ) ),
inference(superposition,[status(thm)],[c_73890,c_225]) ).
tcf(c_73959,plain,
! [X0: $i] :
( ( sK8(cons(sK57,iPr_def_12),sK57) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_12),sK57))
| ( sK8(cons(sK57,iPr_def_12),sK57) != app(nil,X0) ) ),
inference(superposition,[status(thm)],[c_73890,c_226]) ).
tcf(c_73960,plain,
! [X0: $i] :
( frontsegP(sK8(cons(sK57,iPr_def_12),sK57),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(cons(sK57,iPr_def_12),sK57)) ),
inference(superposition,[status(thm)],[c_73890,c_176]) ).
tcf(c_73962,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(cons(sK57,iPr_def_12),sK57),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_12),sK57))
| ~ segmentP(sK8(cons(sK57,iPr_def_12),sK57),X0) ),
inference(superposition,[status(thm)],[c_73890,c_193]) ).
tcf(c_73965,plain,
( frontsegP(sK8(cons(sK57,iPr_def_12),sK57),nil)
| ~ ssList(sK8(cons(sK57,iPr_def_12),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73952,c_141]) ).
tcf(c_73968,plain,
( rearsegP(sK8(cons(sK57,iPr_def_12),sK57),sK8(cons(sK57,iPr_def_12),sK57))
| ~ ssList(sK8(cons(sK57,iPr_def_12),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73953,c_141]) ).
tcf(c_73971,plain,
! [X0: $i] :
( frontsegP(sK8(cons(sK57,iPr_def_12),sK57),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(cons(sK57,iPr_def_12),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73960,c_141]) ).
tcf(c_73976,plain,
! [X0: $i] :
( ( sK8(cons(sK57,iPr_def_12),sK57) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_12),sK57))
| ( sK8(cons(sK57,iPr_def_12),sK57) != app(nil,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73959,c_141]) ).
tcf(c_73981,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_12),sK57))
| ( app(X0,sK8(cons(sK57,iPr_def_12),sK57)) != sK8(cons(sK57,iPr_def_12),sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73955,c_141]) ).
tcf(c_73986,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(cons(sK57,iPr_def_12),sK57),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_12),sK57))
| ~ segmentP(sK8(cons(sK57,iPr_def_12),sK57),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73962,c_141]) ).
tcf(c_73992,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,iPr_def_12),sK57),X0),sK8(cons(sK57,iPr_def_12),sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_12),sK57))
| ~ ssList(app(sK8(cons(sK57,iPr_def_12),sK57),X0)) ),
inference(light_normalisation,[status(thm)],[c_73946,c_73890]) ).
tcf(c_73993,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,iPr_def_12),sK57),X0),sK8(cons(sK57,iPr_def_12),sK57))
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_12),sK57))
| ~ ssList(app(sK8(cons(sK57,iPr_def_12),sK57),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73992,c_141]) ).
tcf(c_74195,plain,
! [X0: $i] :
( ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(cons(sK57,X0))
| ~ duplicatefreeP(app(iPr_def_10,cons(sK57,X0))) ),
inference(superposition,[status(thm)],[c_153,c_68532]) ).
tcf(c_74196,plain,
( ~ ssList(nil)
| ~ ssList(app(iPr_def_10,iPr_def_11))
| ~ duplicatefreeP(app(iPr_def_10,cons(sK57,nil))) ),
inference(superposition,[status(thm)],[c_34910,c_68532]) ).
tcf(c_74198,plain,
( ~ ssList(nil)
| ~ duplicatefreeP(app(iPr_def_10,iPr_def_11))
| ~ ssList(app(iPr_def_10,iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_74196,c_34910]) ).
tcf(c_74199,plain,
( ~ duplicatefreeP(app(iPr_def_10,iPr_def_11))
| ~ ssList(app(iPr_def_10,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74198,c_141]) ).
tcf(c_74202,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssList(cons(sK57,X0))
| ~ duplicatefreeP(app(iPr_def_10,cons(sK57,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74195,c_18245]) ).
tcf(c_74217,plain,
( memberP(sK59,sK60)
| memberP(sK58,sK60)
| ( sK57 = sK60 )
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_18269,c_73050]) ).
tcf(c_74219,plain,
( memberP(sK59,sK10(iPr_def_10))
| memberP(sK58,sK10(iPr_def_10))
| ( sK10(iPr_def_10) = sK57 )
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_48825,c_73050]) ).
tcf(c_74220,plain,
( memberP(sK59,hd(iPr_def_12))
| memberP(sK58,hd(iPr_def_12))
| ( hd(iPr_def_12) = sK57 )
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58058,c_73050]) ).
tcf(c_74221,plain,
( memberP(sK59,sK60)
| memberP(sK58,sK60)
| ( sK57 = sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74217,c_18252]) ).
tcf(c_74225,plain,
( memberP(sK59,hd(iPr_def_12))
| memberP(sK58,hd(iPr_def_12))
| ( hd(iPr_def_12) = sK57 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74220,c_25586]) ).
tcf(c_74239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK8(X0,X1),X2),sK58) = app(sK8(X0,X1),app(X2,sK58)) )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_22630]) ).
tcf(c_74240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK9(X0,X1),X2),sK58) = app(sK9(X0,X1),app(X2,sK58)) )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_22630]) ).
tcf(c_74241,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(app(X0,X1),X2),sK58) = app(app(X0,X1),app(X2,sK58)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_22630]) ).
tcf(c_74242,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK11(X0,X1),X2),sK58) = app(sK11(X0,X1),app(X2,sK58)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_22630]) ).
tcf(c_74243,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK12(X0,X1),X2),sK58) = app(sK12(X0,X1),app(X2,sK58)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_22630]) ).
tcf(c_74244,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK13(X0,X1),X2),sK58) = app(sK13(X0,X1),app(X2,sK58)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_22630]) ).
tcf(c_74245,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK14(X0,X1),X2),sK58) = app(sK14(X0,X1),app(X2,sK58)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_22630]) ).
tcf(c_74255,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(app(sK34(X0),X1),sK58) = app(sK34(X0),app(X1,sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_22630]) ).
tcf(c_74256,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(app(sK33(X0),X1),sK58) = app(sK33(X0),app(X1,sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_22630]) ).
tcf(c_74257,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(app(sK32(X0),X1),sK58) = app(sK32(X0),app(X1,sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_22630]) ).
tcf(c_74258,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(app(sK39(X0),X1),sK58) = app(sK39(X0),app(X1,sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_22630]) ).
tcf(c_74259,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(app(sK38(X0),X1),sK58) = app(sK38(X0),app(X1,sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_22630]) ).
tcf(c_74260,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(app(sK37(X0),X1),sK58) = app(sK37(X0),app(X1,sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_22630]) ).
tcf(c_74261,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(app(sK44(X0),X1),sK58) = app(sK44(X0),app(X1,sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_22630]) ).
tcf(c_74262,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(app(sK43(X0),X1),sK58) = app(sK43(X0),app(X1,sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_22630]) ).
tcf(c_74263,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(app(sK42(X0),X1),sK58) = app(sK42(X0),app(X1,sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_22630]) ).
tcf(c_74264,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( app(app(sK48(X0),X1),sK58) = app(sK48(X0),app(X1,sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_22630]) ).
tcf(c_74265,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( app(app(sK47(X0),X1),sK58) = app(sK47(X0),app(X1,sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_22630]) ).
tcf(c_74266,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(cons(X0,X1),X2),sK58) = app(cons(X0,X1),app(X2,sK58)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_22630]) ).
tcf(c_74267,plain,
! [X0: $i] :
( ( app(app(nil,X0),sK58) = app(nil,app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_141,c_22630]) ).
tcf(c_74268,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(app(sK49(X0),X1),sK58) = app(sK49(X0),app(X1,sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_22630]) ).
tcf(c_74269,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(app(tl(X0),X1),sK58) = app(tl(X0),app(X1,sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_22630]) ).
tcf(c_74270,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(app(sK52(X0),X1),sK58) = app(sK52(X0),app(X1,sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_22630]) ).
tcf(c_74271,plain,
! [X0: $i] :
( ( app(app(sK59,X0),sK58) = app(sK59,app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8916,c_22630]) ).
tcf(c_74272,plain,
! [X0: $i] :
( ( app(app(sK58,X0),sK58) = app(sK58,app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8915,c_22630]) ).
tcf(c_74273,plain,
! [X0: $i] :
( ( app(app(sK56,X0),sK58) = app(sK56,app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8907,c_22630]) ).
tcf(c_74274,plain,
! [X0: $i] :
( ( app(app(iPr_def_12,X0),sK58) = app(iPr_def_12,app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12842,c_22630]) ).
tcf(c_74275,plain,
! [X0: $i] :
( ( app(app(iPr_def_11,X0),sK58) = app(iPr_def_11,app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12706,c_22630]) ).
tcf(c_74276,plain,
! [X0: $i] :
( ( app(app(iPr_def_10,X0),sK58) = app(iPr_def_10,app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18245,c_22630]) ).
tcf(c_74277,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK59),X0),sK58) = app(cons(sK57,sK59),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_38491,c_22630]) ).
tcf(c_74278,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK58),X0),sK58) = app(cons(sK57,sK58),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_42438,c_22630]) ).
tcf(c_74279,plain,
! [X0: $i] :
( ( app(app(cons(sK57,sK56),X0),sK58) = app(cons(sK57,sK56),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45721,c_22630]) ).
tcf(c_74280,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(app(tl(sK59),X0),sK58) = app(tl(sK59),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15329,c_22630]) ).
tcf(c_74281,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( app(app(tl(sK58),X0),sK58) = app(tl(sK58),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15365,c_22630]) ).
tcf(c_74282,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(app(tl(sK56),X0),sK58) = app(tl(sK56),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15756,c_22630]) ).
tcf(c_74283,plain,
! [X0: $i] :
( ( app(app(tl(iPr_def_12),X0),sK58) = app(tl(iPr_def_12),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_19014,c_22630]) ).
tcf(c_74284,plain,
! [X0: $i] :
( ( app(app(cons(sK57,iPr_def_12),X0),sK58) = app(cons(sK57,iPr_def_12),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_69986,c_22630]) ).
tcf(c_74285,plain,
! [X0: $i] :
( ( app(app(cons(sK57,iPr_def_11),X0),sK58) = app(cons(sK57,iPr_def_11),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_72108,c_22630]) ).
tcf(c_74286,plain,
! [X0: $i] :
( ( app(app(cons(sK57,iPr_def_10),X0),sK58) = app(cons(sK57,iPr_def_10),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_59801,c_22630]) ).
tcf(c_74287,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK59,sK59)),X0),sK58) = app(cons(sK57,app(sK59,sK59)),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_38541,c_22630]) ).
tcf(c_74288,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK58,sK59)),X0),sK58) = app(cons(sK57,app(sK58,sK59)),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_42487,c_22630]) ).
tcf(c_74289,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK56,sK59)),X0),sK58) = app(cons(sK57,app(sK56,sK59)),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45773,c_22630]) ).
tcf(c_74290,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK59,sK58)),X0),sK58) = app(cons(sK57,app(sK59,sK58)),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_41763,c_22630]) ).
tcf(c_74291,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK58,sK58)),X0),sK58) = app(cons(sK57,app(sK58,sK58)),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_43212,c_22630]) ).
tcf(c_74292,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK56,sK58)),X0),sK58) = app(cons(sK57,app(sK56,sK58)),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45770,c_22630]) ).
tcf(c_74293,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK59,sK56)),X0),sK58) = app(cons(sK57,app(sK59,sK56)),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_45369,c_22630]) ).
tcf(c_74294,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK58,sK56)),X0),sK58) = app(cons(sK57,app(sK58,sK56)),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_46410,c_22630]) ).
tcf(c_74295,plain,
! [X0: $i] :
( ( app(app(cons(sK57,app(sK56,sK56)),X0),sK58) = app(cons(sK57,app(sK56,sK56)),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_46972,c_22630]) ).
tcf(c_74296,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK59,sK59)),X0),sK58) = app(app(sK59,app(sK59,sK59)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_22630]) ).
tcf(c_74297,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK58,sK59)),X0),sK58) = app(app(sK59,app(sK58,sK59)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_22630]) ).
tcf(c_74298,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK56,sK59)),X0),sK58) = app(app(sK59,app(sK56,sK59)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_22630]) ).
tcf(c_74299,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK59,sK59)),X0),sK58) = app(app(sK58,app(sK59,sK59)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_22630]) ).
tcf(c_74300,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK58,sK59)),X0),sK58) = app(app(sK58,app(sK58,sK59)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_22630]) ).
tcf(c_74301,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK56,sK59)),X0),sK58) = app(app(sK58,app(sK56,sK59)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_22630]) ).
tcf(c_74302,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK59,sK59)),X0),sK58) = app(app(sK56,app(sK59,sK59)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_22630]) ).
tcf(c_74303,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK58,sK59)),X0),sK58) = app(app(sK56,app(sK58,sK59)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_22630]) ).
tcf(c_74304,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK56,sK59)),X0),sK58) = app(app(sK56,app(sK56,sK59)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_22630]) ).
tcf(c_74591,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK8(X0,X1)),sK58) = app(sK59,app(sK8(X0,X1),sK58)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_74271]) ).
tcf(c_74592,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK9(X0,X1)),sK58) = app(sK59,app(sK9(X0,X1),sK58)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_74271]) ).
tcf(c_74593,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,app(X0,X1)),sK58) = app(sK59,app(app(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_74271]) ).
tcf(c_74594,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK11(X0,X1)),sK58) = app(sK59,app(sK11(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_74271]) ).
tcf(c_74595,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK12(X0,X1)),sK58) = app(sK59,app(sK12(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_74271]) ).
tcf(c_74596,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK13(X0,X1)),sK58) = app(sK59,app(sK13(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_74271]) ).
tcf(c_74597,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK14(X0,X1)),sK58) = app(sK59,app(sK14(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_74271]) ).
tcf(c_74607,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK59,sK34(X0)),sK58) = app(sK59,app(sK34(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_74271]) ).
tcf(c_74608,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK59,sK33(X0)),sK58) = app(sK59,app(sK33(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_74271]) ).
tcf(c_74609,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK59,sK32(X0)),sK58) = app(sK59,app(sK32(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_74271]) ).
tcf(c_74610,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK59,sK39(X0)),sK58) = app(sK59,app(sK39(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_74271]) ).
tcf(c_74611,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK59,sK38(X0)),sK58) = app(sK59,app(sK38(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_74271]) ).
tcf(c_74612,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK59,sK37(X0)),sK58) = app(sK59,app(sK37(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_74271]) ).
tcf(c_74613,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK59,sK44(X0)),sK58) = app(sK59,app(sK44(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_74271]) ).
tcf(c_74614,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK59,sK43(X0)),sK58) = app(sK59,app(sK43(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_74271]) ).
tcf(c_74615,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK59,sK42(X0)),sK58) = app(sK59,app(sK42(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_74271]) ).
tcf(c_74616,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK59,sK48(X0)),sK58) = app(sK59,app(sK48(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_74271]) ).
tcf(c_74617,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK59,sK47(X0)),sK58) = app(sK59,app(sK47(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_74271]) ).
tcf(c_74618,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,cons(X0,X1)),sK58) = app(sK59,app(cons(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_74271]) ).
tcf(c_74619,plain,
app(app(sK59,nil),sK58) = app(sK59,app(nil,sK58)),
inference(superposition,[status(thm)],[c_141,c_74271]) ).
tcf(c_74620,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK59,sK49(X0)),sK58) = app(sK59,app(sK49(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_74271]) ).
tcf(c_74621,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK59,tl(X0)),sK58) = app(sK59,app(tl(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_74271]) ).
tcf(c_74622,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK59,sK52(X0)),sK58) = app(sK59,app(sK52(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_74271]) ).
tcf(c_74623,plain,
app(app(sK59,sK59),sK58) = app(sK59,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_8916,c_74271]) ).
tcf(c_74624,plain,
app(app(sK59,sK58),sK58) = app(sK59,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_8915,c_74271]) ).
tcf(c_74625,plain,
app(app(sK59,sK56),sK58) = app(sK59,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_8907,c_74271]) ).
tcf(c_74626,plain,
app(app(sK59,iPr_def_12),sK58) = app(sK59,app(iPr_def_12,sK58)),
inference(superposition,[status(thm)],[c_12842,c_74271]) ).
tcf(c_74627,plain,
app(app(sK59,iPr_def_11),sK58) = app(sK59,app(iPr_def_11,sK58)),
inference(superposition,[status(thm)],[c_12706,c_74271]) ).
tcf(c_74628,plain,
app(app(sK59,iPr_def_10),sK58) = app(sK59,app(iPr_def_10,sK58)),
inference(superposition,[status(thm)],[c_18245,c_74271]) ).
tcf(c_74629,plain,
app(app(sK59,cons(sK57,sK59)),sK58) = app(sK59,app(cons(sK57,sK59),sK58)),
inference(superposition,[status(thm)],[c_38491,c_74271]) ).
tcf(c_74630,plain,
app(app(sK59,cons(sK57,sK58)),sK58) = app(sK59,app(cons(sK57,sK58),sK58)),
inference(superposition,[status(thm)],[c_42438,c_74271]) ).
tcf(c_74631,plain,
app(app(sK59,cons(sK57,sK56)),sK58) = app(sK59,app(cons(sK57,sK56),sK58)),
inference(superposition,[status(thm)],[c_45721,c_74271]) ).
tcf(c_74632,plain,
( ( nil = sK59 )
| ( app(app(sK59,tl(sK59)),sK58) = app(sK59,app(tl(sK59),sK58)) ) ),
inference(superposition,[status(thm)],[c_15329,c_74271]) ).
tcf(c_74633,plain,
( ( nil = sK58 )
| ( app(app(sK59,tl(sK58)),sK58) = app(sK59,app(tl(sK58),sK58)) ) ),
inference(superposition,[status(thm)],[c_15365,c_74271]) ).
tcf(c_74634,plain,
( ( nil = sK56 )
| ( app(app(sK59,tl(sK56)),sK58) = app(sK59,app(tl(sK56),sK58)) ) ),
inference(superposition,[status(thm)],[c_15756,c_74271]) ).
tcf(c_74635,plain,
app(app(sK59,tl(iPr_def_12)),sK58) = app(sK59,app(tl(iPr_def_12),sK58)),
inference(superposition,[status(thm)],[c_19014,c_74271]) ).
tcf(c_74636,plain,
app(app(sK59,cons(sK57,iPr_def_12)),sK58) = app(sK59,app(cons(sK57,iPr_def_12),sK58)),
inference(superposition,[status(thm)],[c_69986,c_74271]) ).
tcf(c_74637,plain,
app(app(sK59,cons(sK57,iPr_def_11)),sK58) = app(sK59,app(cons(sK57,iPr_def_11),sK58)),
inference(superposition,[status(thm)],[c_72108,c_74271]) ).
tcf(c_74638,plain,
app(app(sK59,cons(sK57,iPr_def_10)),sK58) = app(sK59,app(cons(sK57,iPr_def_10),sK58)),
inference(superposition,[status(thm)],[c_59801,c_74271]) ).
tcf(c_74639,plain,
app(app(sK59,cons(sK57,app(sK59,sK59))),sK58) = app(sK59,app(cons(sK57,app(sK59,sK59)),sK58)),
inference(superposition,[status(thm)],[c_38541,c_74271]) ).
tcf(c_74640,plain,
app(app(sK59,cons(sK57,app(sK58,sK59))),sK58) = app(sK59,app(cons(sK57,app(sK58,sK59)),sK58)),
inference(superposition,[status(thm)],[c_42487,c_74271]) ).
tcf(c_74641,plain,
app(app(sK59,cons(sK57,app(sK56,sK59))),sK58) = app(sK59,app(cons(sK57,app(sK56,sK59)),sK58)),
inference(superposition,[status(thm)],[c_45773,c_74271]) ).
tcf(c_74642,plain,
app(app(sK59,cons(sK57,app(sK59,sK58))),sK58) = app(sK59,app(cons(sK57,app(sK59,sK58)),sK58)),
inference(superposition,[status(thm)],[c_41763,c_74271]) ).
tcf(c_74643,plain,
app(app(sK59,cons(sK57,app(sK58,sK58))),sK58) = app(sK59,app(cons(sK57,app(sK58,sK58)),sK58)),
inference(superposition,[status(thm)],[c_43212,c_74271]) ).
tcf(c_74644,plain,
app(app(sK59,cons(sK57,app(sK56,sK58))),sK58) = app(sK59,app(cons(sK57,app(sK56,sK58)),sK58)),
inference(superposition,[status(thm)],[c_45770,c_74271]) ).
tcf(c_74645,plain,
app(app(sK59,cons(sK57,app(sK59,sK56))),sK58) = app(sK59,app(cons(sK57,app(sK59,sK56)),sK58)),
inference(superposition,[status(thm)],[c_45369,c_74271]) ).
tcf(c_74646,plain,
app(app(sK59,cons(sK57,app(sK58,sK56))),sK58) = app(sK59,app(cons(sK57,app(sK58,sK56)),sK58)),
inference(superposition,[status(thm)],[c_46410,c_74271]) ).
tcf(c_74647,plain,
app(app(sK59,cons(sK57,app(sK56,sK56))),sK58) = app(sK59,app(cons(sK57,app(sK56,sK56)),sK58)),
inference(superposition,[status(thm)],[c_46972,c_74271]) ).
tcf(c_74648,plain,
( ( app(app(sK59,app(sK59,app(sK59,sK59))),sK58) = app(sK59,app(app(sK59,app(sK59,sK59)),sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_74271]) ).
tcf(c_74649,plain,
( ( app(app(sK59,app(sK59,app(sK58,sK59))),sK58) = app(sK59,app(app(sK59,app(sK58,sK59)),sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_74271]) ).
tcf(c_74650,plain,
( ( app(app(sK59,app(sK59,app(sK56,sK59))),sK58) = app(sK59,app(app(sK59,app(sK56,sK59)),sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_74271]) ).
tcf(c_74651,plain,
( ( app(app(sK59,app(sK58,app(sK59,sK59))),sK58) = app(sK59,app(app(sK58,app(sK59,sK59)),sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_74271]) ).
tcf(c_74652,plain,
( ( app(app(sK59,app(sK58,app(sK58,sK59))),sK58) = app(sK59,app(app(sK58,app(sK58,sK59)),sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_74271]) ).
tcf(c_74653,plain,
( ( app(app(sK59,app(sK58,app(sK56,sK59))),sK58) = app(sK59,app(app(sK58,app(sK56,sK59)),sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_74271]) ).
tcf(c_74654,plain,
( ( app(app(sK59,app(sK56,app(sK59,sK59))),sK58) = app(sK59,app(app(sK56,app(sK59,sK59)),sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_74271]) ).
tcf(c_74655,plain,
( ( app(app(sK59,app(sK56,app(sK58,sK59))),sK58) = app(sK59,app(app(sK56,app(sK58,sK59)),sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_74271]) ).
tcf(c_74656,plain,
( ( app(app(sK59,app(sK56,app(sK56,sK59))),sK58) = app(sK59,app(app(sK56,app(sK56,sK59)),sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_74271]) ).
tcf(c_74657,plain,
app(app(sK59,iPr_def_11),sK58) = app(sK59,cons(sK57,sK58)),
inference(light_normalisation,[status(thm)],[c_74627,c_41528]) ).
tcf(c_74659,plain,
app(app(sK59,cons(sK57,iPr_def_10)),sK58) = app(sK59,cons(sK57,app(iPr_def_10,sK58))),
inference(light_normalisation,[status(thm)],[c_74638,c_41518]) ).
tcf(c_74660,plain,
app(app(sK59,cons(sK57,iPr_def_11)),sK58) = app(sK59,cons(sK57,cons(sK57,sK58))),
inference(light_normalisation,[status(thm)],[c_74637,c_41517,c_41528]) ).
tcf(c_74661,plain,
app(app(sK59,cons(sK57,iPr_def_12)),sK58) = app(sK59,cons(sK57,app(iPr_def_12,sK58))),
inference(light_normalisation,[status(thm)],[c_74636,c_41516]) ).
tcf(c_74662,plain,
app(app(sK59,cons(sK57,sK56)),sK58) = app(sK59,cons(sK57,app(sK56,sK58))),
inference(light_normalisation,[status(thm)],[c_74631,c_41515]) ).
tcf(c_74663,plain,
app(app(sK59,cons(sK57,sK58)),sK58) = app(sK59,cons(sK57,app(sK58,sK58))),
inference(light_normalisation,[status(thm)],[c_74630,c_41514]) ).
tcf(c_74664,plain,
app(app(sK59,cons(sK57,sK59)),sK58) = app(sK59,cons(sK57,app(sK59,sK58))),
inference(light_normalisation,[status(thm)],[c_74629,c_41513]) ).
tcf(c_75679,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK59,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(app(app(sK59,sK59),sK58),X0)) ),
inference(superposition,[status(thm)],[c_74623,c_67]) ).
tcf(c_75682,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK59,sK59),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ memberP(app(sK59,app(sK59,sK58)),X0) ),
inference(superposition,[status(thm)],[c_74623,c_167]) ).
tcf(c_75683,plain,
( ( app(sK59,sK59) = nil )
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_74623,c_231]) ).
tcf(c_75684,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_74623,c_230]) ).
tcf(c_75685,plain,
( frontsegP(app(sK59,app(sK59,sK58)),app(sK59,sK59))
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_74623,c_382]) ).
tcf(c_75686,plain,
( rearsegP(app(sK59,app(sK59,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_74623,c_379]) ).
tcf(c_75687,plain,
( ssList(app(sK59,app(sK59,sK58)))
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_74623,c_153]) ).
tcf(c_75688,plain,
! [X0: $i] :
( ( app(sK59,sK59) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK58)) != app(X0,sK58) ) ),
inference(superposition,[status(thm)],[c_74623,c_225]) ).
tcf(c_75689,plain,
( segmentP(app(sK59,app(sK59,sK58)),sK59)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(app(sK59,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_74623,c_67]) ).
tcf(c_75690,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ( app(app(sK59,sK59),X0) != app(sK59,app(sK59,sK58)) ) ),
inference(superposition,[status(thm)],[c_74623,c_226]) ).
tcf(c_75691,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ~ frontsegP(app(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_74623,c_176]) ).
tcf(c_75692,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ memberP(app(sK59,sK59),X0) ),
inference(superposition,[status(thm)],[c_74623,c_165]) ).
tcf(c_75693,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK59,sK58)),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_74623,c_193]) ).
tcf(c_75694,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_74623,c_186]) ).
tcf(c_75695,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_74623,c_166]) ).
tcf(c_75696,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK59,sK58)),X0)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_74623,c_193]) ).
tcf(c_75697,plain,
( ( app(sK59,sK59) = iPr_def_11 )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK58)) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_74623,c_42471]) ).
tcf(c_75698,plain,
( ( app(sK59,sK59) = nil )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_74623,c_25207]) ).
tcf(c_75699,plain,
( ssList(app(sK59,app(sK59,sK58)))
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75687,c_8915]) ).
tcf(c_75702,plain,
( rearsegP(app(sK59,app(sK59,sK58)),sK58)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75686,c_8915]) ).
tcf(c_75705,plain,
( frontsegP(app(sK59,app(sK59,sK58)),app(sK59,sK59))
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75685,c_8915]) ).
tcf(c_75711,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75696,c_8916,c_8915]) ).
tcf(c_75715,plain,
( segmentP(app(sK59,app(sK59,sK58)),sK59)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(sK59,app(sK59,sK58))) ),
inference(light_normalisation,[status(thm)],[c_75689,c_74623]) ).
tcf(c_75716,plain,
( segmentP(app(sK59,app(sK59,sK58)),sK59)
| ~ ssList(app(sK59,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75715,c_8916,c_8915]) ).
tcf(c_75719,plain,
( ( nil = sK58 )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75684,c_8915]) ).
tcf(c_75726,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK59,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75695,c_8915]) ).
tcf(c_75731,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75694,c_8915]) ).
tcf(c_75736,plain,
( ( app(sK59,sK59) = nil )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75683,c_8915]) ).
tcf(c_75740,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK59,sK58)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ memberP(app(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75692,c_8915]) ).
tcf(c_75745,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ~ frontsegP(app(sK59,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75691,c_8915]) ).
tcf(c_75750,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK59,sK58)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK59,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75693,c_8915]) ).
tcf(c_75756,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK59,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK59))
| ~ memberP(app(sK59,app(sK59,sK58)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75682,c_8915]) ).
tcf(c_75762,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ( app(app(sK59,sK59),X0) != app(sK59,app(sK59,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75690,c_8915]) ).
tcf(c_75767,plain,
! [X0: $i] :
( ( app(sK59,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75688,c_8915]) ).
tcf(c_75772,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK59,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(app(sK59,app(sK59,sK58)),X0)) ),
inference(light_normalisation,[status(thm)],[c_75679,c_74623]) ).
tcf(c_75773,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK59,sK58)),X0),sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(app(sK59,app(sK59,sK58)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75772,c_8915]) ).
tcf(c_75982,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK59,app(sK59,sK58))) = app(X0,app(X1,app(sK59,app(sK59,sK58)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_228]) ).
tcf(c_75983,plain,
( ( app(app(sK59,app(sK59,app(sK59,sK58))),sK58) = app(sK59,app(app(sK59,app(sK59,sK58)),sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_74271]) ).
tcf(c_75984,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK59,sK58)),X0),sK58) = app(app(sK59,app(sK59,sK58)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_22630]) ).
tcf(c_75985,plain,
( ( cons(sK57,app(sK59,app(sK59,sK58))) = app(iPr_def_11,app(sK59,app(sK59,sK58))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_16606]) ).
tcf(c_75986,plain,
( ( app(app(sK56,app(sK59,app(sK59,sK58))),sK59) = app(sK56,app(app(sK59,app(sK59,sK58)),sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_63530]) ).
tcf(c_75987,plain,
( ( app(app(sK58,app(sK59,app(sK59,sK58))),sK59) = app(sK58,app(app(sK59,app(sK59,sK58)),sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_63529]) ).
tcf(c_75988,plain,
( ( app(app(sK59,app(sK59,app(sK59,sK58))),sK59) = app(sK59,app(app(sK59,app(sK59,sK58)),sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_63528]) ).
tcf(c_75989,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK59,sK58)),X0),sK59) = app(app(sK59,app(sK59,sK58)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_22629]) ).
tcf(c_75990,plain,
( ( hd(app(iPr_def_11,app(sK59,app(sK59,sK58)))) = sK57 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_19198]) ).
tcf(c_75991,plain,
( ( hd(cons(sK60,app(sK59,app(sK59,sK58)))) = sK60 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_18952]) ).
tcf(c_75992,plain,
( ( tl(cons(sK60,app(sK59,app(sK59,sK58)))) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_18951]) ).
tcf(c_75993,plain,
( ( cons(sK57,app(app(sK59,app(sK59,sK58)),sK56)) = app(cons(sK57,app(sK59,app(sK59,sK58))),sK56) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_37365]) ).
tcf(c_75994,plain,
( ( tl(cons(sK7,app(sK59,app(sK59,sK58)))) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_13978]) ).
tcf(c_75995,plain,
( ( tl(cons(sK6,app(sK59,app(sK59,sK58)))) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_13977]) ).
tcf(c_75996,plain,
( ( cons(sK57,app(app(sK59,app(sK59,sK58)),sK58)) = app(cons(sK57,app(sK59,app(sK59,sK58))),sK58) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_37364]) ).
tcf(c_75997,plain,
( ( hd(cons(sK7,app(sK59,app(sK59,sK58)))) = sK7 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_13802]) ).
tcf(c_75998,plain,
( ( hd(cons(sK6,app(sK59,app(sK59,sK58)))) = sK6 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_13801]) ).
tcf(c_75999,plain,
( ( cons(sK57,app(app(sK59,app(sK59,sK58)),sK59)) = app(cons(sK57,app(sK59,app(sK59,sK58))),sK59) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_37363]) ).
tcf(c_76000,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK59,app(sK59,sK58)))) = app(cons(sK57,X0),app(sK59,app(sK59,sK58))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_22147]) ).
tcf(c_76001,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK59,app(sK59,sK58))) = tl(app(sK56,app(sK59,app(sK59,sK58)))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_21660]) ).
tcf(c_76002,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK59,app(sK59,sK58))) = tl(app(sK58,app(sK59,app(sK59,sK58)))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_21659]) ).
tcf(c_76003,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK59,app(sK59,sK58))) = tl(app(sK59,app(sK59,app(sK59,sK58)))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_21658]) ).
tcf(c_76004,plain,
( duplicatefreeP(app(sK59,app(sK59,sK58)))
| ( app(app(sK42(app(sK59,app(sK59,sK58))),cons(sK40(app(sK59,app(sK59,sK58))),sK43(app(sK59,app(sK59,sK58))))),cons(sK41(app(sK59,app(sK59,sK58))),sK44(app(sK59,app(sK59,sK58))))) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_124]) ).
tcf(c_76005,plain,
( strictorderedP(app(sK59,app(sK59,sK58)))
| ( app(app(sK37(app(sK59,app(sK59,sK58))),cons(sK35(app(sK59,app(sK59,sK58))),sK38(app(sK59,app(sK59,sK58))))),cons(sK36(app(sK59,app(sK59,sK58))),sK39(app(sK59,app(sK59,sK58))))) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_116]) ).
tcf(c_76006,plain,
( totalorderedP(app(sK59,app(sK59,sK58)))
| ( app(app(sK32(app(sK59,app(sK59,sK58))),cons(sK30(app(sK59,app(sK59,sK58))),sK33(app(sK59,app(sK59,sK58))))),cons(sK31(app(sK59,app(sK59,sK58))),sK34(app(sK59,app(sK59,sK58))))) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_108]) ).
tcf(c_76007,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK59,app(sK59,sK58)))) = hd(sK56) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_19187]) ).
tcf(c_76008,plain,
! [X0: $i] :
( ( app(sK59,app(sK59,sK58)) = nil )
| ( app(tl(app(sK59,app(sK59,sK58))),X0) = tl(app(app(sK59,app(sK59,sK58)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_234]) ).
tcf(c_76009,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK59,app(sK59,sK58)))) = hd(sK58) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_19186]) ).
tcf(c_76010,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK59,app(sK59,sK58)))) = hd(sK59) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_19185]) ).
tcf(c_76011,plain,
( equalelemsP(app(sK59,app(sK59,sK58)))
| ( app(sK47(app(sK59,app(sK59,sK58))),cons(sK45(app(sK59,app(sK59,sK58))),cons(sK46(app(sK59,app(sK59,sK58))),sK48(app(sK59,app(sK59,sK58)))))) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_132]) ).
tcf(c_76012,plain,
! [X0: $i] :
( ( app(sK59,app(sK59,sK58)) = nil )
| ( hd(app(app(sK59,app(sK59,sK58)),X0)) = hd(app(sK59,app(sK59,sK58))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_233]) ).
tcf(c_76013,plain,
( ( app(sK59,app(sK59,sK58)) = nil )
| ( cons(hd(app(sK59,app(sK59,sK58))),tl(app(sK59,app(sK59,sK58)))) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_224]) ).
tcf(c_76014,plain,
( ( app(sK59,app(sK59,sK58)) = nil )
| ( cons(sK50(app(sK59,app(sK59,sK58))),sK49(app(sK59,app(sK59,sK58)))) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_147]) ).
tcf(c_76015,plain,
( ( tl(cons(sK57,app(sK59,app(sK59,sK58)))) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_13997]) ).
tcf(c_76016,plain,
( ( hd(cons(sK57,app(sK59,app(sK59,sK58)))) = sK57 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_13821]) ).
tcf(c_76017,plain,
( ( app(sK59,app(sK59,sK58)) = nil )
| ( tl(app(sK59,app(sK59,sK58))) = sK52(app(sK59,app(sK59,sK58))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_222]) ).
tcf(c_76018,plain,
( ( app(sK59,app(sK59,sK58)) = nil )
| ( hd(app(sK59,app(sK59,sK58))) = sK51(app(sK59,app(sK59,sK58))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_220]) ).
tcf(c_76019,plain,
( duplicatefreeP(app(sK59,app(sK59,sK58)))
| ( sK40(app(sK59,app(sK59,sK58))) = sK41(app(sK59,app(sK59,sK58))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_123]) ).
tcf(c_76020,plain,
( ( app(app(sK59,app(sK59,sK58)),nil) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_232]) ).
tcf(c_76021,plain,
( ( app(nil,app(sK59,app(sK59,sK58))) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_155]) ).
tcf(c_76403,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK58,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(app(app(sK59,sK58),sK58),X0)) ),
inference(superposition,[status(thm)],[c_74624,c_67]) ).
tcf(c_76406,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK59,sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ memberP(app(sK59,app(sK58,sK58)),X0) ),
inference(superposition,[status(thm)],[c_74624,c_167]) ).
tcf(c_76407,plain,
( ( app(sK59,sK58) = nil )
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_74624,c_231]) ).
tcf(c_76408,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_74624,c_230]) ).
tcf(c_76409,plain,
( frontsegP(app(sK59,app(sK58,sK58)),app(sK59,sK58))
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_74624,c_382]) ).
tcf(c_76410,plain,
( rearsegP(app(sK59,app(sK58,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_74624,c_379]) ).
tcf(c_76411,plain,
( ssList(app(sK59,app(sK58,sK58)))
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_74624,c_153]) ).
tcf(c_76412,plain,
! [X0: $i] :
( ( app(sK59,sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK58)) != app(X0,sK58) ) ),
inference(superposition,[status(thm)],[c_74624,c_225]) ).
tcf(c_76413,plain,
( segmentP(app(sK59,app(sK58,sK58)),sK58)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(app(sK59,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_74624,c_67]) ).
tcf(c_76414,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ( app(app(sK59,sK58),X0) != app(sK59,app(sK58,sK58)) ) ),
inference(superposition,[status(thm)],[c_74624,c_226]) ).
tcf(c_76415,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ~ frontsegP(app(sK59,sK58),X0) ),
inference(superposition,[status(thm)],[c_74624,c_176]) ).
tcf(c_76416,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ memberP(app(sK59,sK58),X0) ),
inference(superposition,[status(thm)],[c_74624,c_165]) ).
tcf(c_76417,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK58,sK58)),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_74624,c_193]) ).
tcf(c_76418,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_74624,c_186]) ).
tcf(c_76419,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_74624,c_166]) ).
tcf(c_76420,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK58,sK58)),X0)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_74624,c_193]) ).
tcf(c_76421,plain,
( ( app(sK59,sK58) = iPr_def_11 )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK58)) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_74624,c_42471]) ).
tcf(c_76422,plain,
( ( app(sK59,sK58) = nil )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_74624,c_25207]) ).
tcf(c_76423,plain,
( ssList(app(sK59,app(sK58,sK58)))
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76411,c_8915]) ).
tcf(c_76426,plain,
( rearsegP(app(sK59,app(sK58,sK58)),sK58)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76410,c_8915]) ).
tcf(c_76429,plain,
( frontsegP(app(sK59,app(sK58,sK58)),app(sK59,sK58))
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76409,c_8915]) ).
tcf(c_76435,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76420,c_8916,c_8915]) ).
tcf(c_76439,plain,
( segmentP(app(sK59,app(sK58,sK58)),sK58)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(sK59,app(sK58,sK58))) ),
inference(light_normalisation,[status(thm)],[c_76413,c_74624]) ).
tcf(c_76440,plain,
( segmentP(app(sK59,app(sK58,sK58)),sK58)
| ~ ssList(app(sK59,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76439,c_8916,c_8915]) ).
tcf(c_76443,plain,
( ( nil = sK58 )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76408,c_8915]) ).
tcf(c_76450,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK58,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76419,c_8915]) ).
tcf(c_76455,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76418,c_8915]) ).
tcf(c_76460,plain,
( ( app(sK59,sK58) = nil )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76407,c_8915]) ).
tcf(c_76464,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK58,sK58)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ memberP(app(sK59,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76416,c_8915]) ).
tcf(c_76469,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ~ frontsegP(app(sK59,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76415,c_8915]) ).
tcf(c_76474,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK58,sK58)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK59,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76417,c_8915]) ).
tcf(c_76480,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK59,sK58),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK58))
| ~ memberP(app(sK59,app(sK58,sK58)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76406,c_8915]) ).
tcf(c_76486,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ( app(app(sK59,sK58),X0) != app(sK59,app(sK58,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76414,c_8915]) ).
tcf(c_76491,plain,
! [X0: $i] :
( ( app(sK59,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76412,c_8915]) ).
tcf(c_76496,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK58,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(app(sK59,app(sK58,sK58)),X0)) ),
inference(light_normalisation,[status(thm)],[c_76403,c_74624]) ).
tcf(c_76497,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK58,sK58)),X0),sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(app(sK59,app(sK58,sK58)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76496,c_8915]) ).
tcf(c_76563,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ ssList(app(app(X0,cons(sK50(tl(iPr_def_12)),X1)),tl(iPr_def_12)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(tl(iPr_def_12)),X1)),cons(sK50(tl(iPr_def_12)),sK49(tl(iPr_def_12))))) ),
inference(superposition,[status(thm)],[c_20003,c_130]) ).
tcf(c_76564,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK50(tl(iPr_def_12)),X1)
| ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ ssList(app(app(X0,tl(iPr_def_12)),cons(X1,X2)))
| ~ strictorderedP(app(app(X0,cons(sK50(tl(iPr_def_12)),sK49(tl(iPr_def_12)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_20003,c_122]) ).
tcf(c_76565,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK50(tl(iPr_def_12)),X1)
| ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ ssList(app(app(X0,tl(iPr_def_12)),cons(X1,X2)))
| ~ totalorderedP(app(app(X0,cons(sK50(tl(iPr_def_12)),sK49(tl(iPr_def_12)))),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_20003,c_114]) ).
tcf(c_76566,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ ssList(app(app(X0,tl(iPr_def_12)),cons(sK50(tl(iPr_def_12)),X1)))
| ~ duplicatefreeP(app(app(X0,cons(sK50(tl(iPr_def_12)),sK49(tl(iPr_def_12)))),cons(sK50(tl(iPr_def_12)),X1))) ),
inference(superposition,[status(thm)],[c_20003,c_130]) ).
tcf(c_76570,plain,
! [X0: $i] :
( memberP(app(X0,tl(iPr_def_12)),sK50(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ ssList(app(X0,cons(sK50(tl(iPr_def_12)),sK49(tl(iPr_def_12))))) ),
inference(superposition,[status(thm)],[c_20003,c_54]) ).
tcf(c_76571,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(iPr_def_12)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(sK50(tl(iPr_def_12)),sK49(tl(iPr_def_12))))) ),
inference(superposition,[status(thm)],[c_20003,c_122]) ).
tcf(c_76572,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ ssList(app(app(X0,cons(X1,X2)),tl(iPr_def_12)))
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(sK50(tl(iPr_def_12)),sK49(tl(iPr_def_12))))) ),
inference(superposition,[status(thm)],[c_20003,c_114]) ).
tcf(c_76576,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = nil )
| ( sK50(tl(iPr_def_12)) = X1 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ ssList(app(X0,cons(X1,tl(iPr_def_12))))
| ~ equalelemsP(app(X0,cons(X1,cons(sK50(tl(iPr_def_12)),sK49(tl(iPr_def_12)))))) ),
inference(superposition,[status(thm)],[c_20003,c_137]) ).
tcf(c_76579,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = nil )
| ( sK50(tl(iPr_def_12)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ frontsegP(cons(X0,X1),tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20003,c_178]) ).
tcf(c_76580,plain,
! [X0: $i,X1: $i] :
( frontsegP(X1,sK49(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ frontsegP(cons(X0,X1),tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20003,c_179]) ).
tcf(c_76581,plain,
( ( tl(iPr_def_12) = nil )
| ( sK49(tl(iPr_def_12)) = nil )
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ( tl(iPr_def_12) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_20003,c_27842]) ).
tcf(c_76582,plain,
( ( tl(iPr_def_12) = nil )
| ( sK50(tl(iPr_def_12)) = sK57 )
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ( tl(iPr_def_12) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_20003,c_27744]) ).
tcf(c_76583,plain,
( ( tl(iPr_def_12) = nil )
| ( sK50(tl(iPr_def_12)) = sK57 )
| ~ frontsegP(iPr_def_11,tl(iPr_def_12))
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20003,c_27481]) ).
tcf(c_76584,plain,
( ( tl(iPr_def_12) = nil )
| ( sK50(tl(iPr_def_12)) = sK57 )
| ~ frontsegP(tl(iPr_def_12),iPr_def_11)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20003,c_27471]) ).
tcf(c_76585,plain,
( frontsegP(nil,sK49(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ frontsegP(iPr_def_11,tl(iPr_def_12))
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20003,c_26657]) ).
tcf(c_76586,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = nil )
| ( sK49(tl(iPr_def_12)) = X1 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ( cons(X0,X1) != tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_20003,c_144]) ).
tcf(c_76587,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = nil )
| ( sK50(tl(iPr_def_12)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ( cons(X0,X1) != tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_20003,c_143]) ).
tcf(c_76588,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = nil )
| ( sK50(tl(iPr_def_12)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ frontsegP(tl(iPr_def_12),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_20003,c_178]) ).
tcf(c_76589,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK49(tl(iPr_def_12)),X1)
| ( tl(iPr_def_12) = nil )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ frontsegP(tl(iPr_def_12),cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_20003,c_179]) ).
tcf(c_76590,plain,
! [X0: $i] :
( memberP(sK49(tl(iPr_def_12)),X0)
| ( tl(iPr_def_12) = nil )
| ( sK50(tl(iPr_def_12)) = X0 )
| ~ ssItem(X0)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ memberP(tl(iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_20003,c_170]) ).
tcf(c_76591,plain,
( lt(sK50(tl(iPr_def_12)),hd(sK49(tl(iPr_def_12))))
| ( tl(iPr_def_12) = nil )
| ( sK49(tl(iPr_def_12)) = nil )
| ~ strictorderedP(tl(iPr_def_12))
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20003,c_214]) ).
tcf(c_76592,plain,
( leq(sK50(tl(iPr_def_12)),hd(sK49(tl(iPr_def_12))))
| ( tl(iPr_def_12) = nil )
| ( sK49(tl(iPr_def_12)) = nil )
| ~ totalorderedP(tl(iPr_def_12))
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20003,c_208]) ).
tcf(c_76593,plain,
( strictorderedP(sK49(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ( sK49(tl(iPr_def_12)) = nil )
| ~ strictorderedP(tl(iPr_def_12))
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20003,c_213]) ).
tcf(c_76594,plain,
( totalorderedP(sK49(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ( sK49(tl(iPr_def_12)) = nil )
| ~ totalorderedP(tl(iPr_def_12))
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20003,c_207]) ).
tcf(c_76596,plain,
( ( tl(iPr_def_12) = nil )
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ( sK49(tl(iPr_def_12)) != tl(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_20003,c_142]) ).
tcf(c_76597,plain,
( memberP(tl(iPr_def_12),sK50(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20003,c_168]) ).
tcf(c_76599,plain,
! [X0: $i] :
( frontsegP(tl(iPr_def_12),cons(sK50(tl(iPr_def_12)),X0))
| ( tl(iPr_def_12) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ frontsegP(sK49(tl(iPr_def_12)),X0) ),
inference(superposition,[status(thm)],[c_20003,c_177]) ).
tcf(c_76600,plain,
! [X0: $i] :
( memberP(tl(iPr_def_12),X0)
| ( tl(iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ memberP(sK49(tl(iPr_def_12)),X0) ),
inference(superposition,[status(thm)],[c_20003,c_169]) ).
tcf(c_76601,plain,
! [X0: $i] :
( frontsegP(cons(sK50(tl(iPr_def_12)),X0),tl(iPr_def_12))
| ( tl(iPr_def_12) = nil )
| ~ ssList(X0)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ frontsegP(X0,sK49(tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20003,c_177]) ).
tcf(c_76995,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ~ ssList(app(app(cons(sK57,iPr_def_11),nil),X0)) ),
inference(superposition,[status(thm)],[c_72660,c_67]) ).
tcf(c_77001,plain,
( frontsegP(cons(sK57,iPr_def_11),cons(sK57,iPr_def_11))
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_72660,c_382]) ).
tcf(c_77002,plain,
( rearsegP(cons(sK57,iPr_def_11),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_72660,c_379]) ).
tcf(c_77004,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_11) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ( app(X0,nil) != cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_72660,c_225]) ).
tcf(c_77005,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ( app(cons(sK57,iPr_def_11),X0) != cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_72660,c_226]) ).
tcf(c_77008,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_72660,c_193]) ).
tcf(c_77009,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_11),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_72660,c_186]) ).
tcf(c_77014,plain,
rearsegP(cons(sK57,iPr_def_11),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_77002,c_141,c_72108]) ).
tcf(c_77015,plain,
frontsegP(cons(sK57,iPr_def_11),cons(sK57,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_77001,c_141,c_72108]) ).
tcf(c_77016,plain,
! [X0: $i] :
( rearsegP(cons(sK57,iPr_def_11),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77009,c_141,c_72108]) ).
tcf(c_77020,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77008,c_141,c_72108]) ).
tcf(c_77025,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK57,iPr_def_11),X0) != cons(sK57,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77005,c_141,c_72108]) ).
tcf(c_77029,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_11) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK57,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77004,c_141,c_72108]) ).
tcf(c_77033,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ~ ssList(app(cons(sK57,iPr_def_11),X0)) ),
inference(light_normalisation,[status(thm)],[c_76995,c_72660]) ).
tcf(c_77034,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,iPr_def_11),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77033,c_141,c_72108]) ).
tcf(c_77090,plain,
( ( cons(sK57,iPr_def_11) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_11))
| ~ rearsegP(nil,cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_77014,c_184]) ).
tcf(c_77091,plain,
( ( app(sK12(cons(sK57,iPr_def_11),nil),nil) = cons(sK57,iPr_def_11) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_77014,c_66]) ).
tcf(c_77092,plain,
app(sK12(cons(sK57,iPr_def_11),nil),nil) = cons(sK57,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_77091,c_141,c_72108]) ).
tcf(c_77093,plain,
~ rearsegP(nil,cons(sK57,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_77090,c_72118,c_141,c_72108]) ).
tcf(c_77096,plain,
( ( app(cons(sK57,iPr_def_11),sK11(cons(sK57,iPr_def_11),cons(sK57,iPr_def_11))) = cons(sK57,iPr_def_11) )
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_77015,c_63]) ).
tcf(c_77099,plain,
app(cons(sK57,iPr_def_11),sK11(cons(sK57,iPr_def_11),cons(sK57,iPr_def_11))) = cons(sK57,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_77096,c_72108]) ).
tcf(c_77103,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,cons(sK57,iPr_def_12)) = nil )
| ( cons(sK60,cons(sK57,iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,cons(sK57,iPr_def_12)))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,cons(sK57,iPr_def_12))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_70171,c_223]) ).
tcf(c_77104,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,cons(sK57,iPr_def_12))))
| ( cons(sK60,cons(sK57,iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,cons(sK57,iPr_def_12)))
| ~ ssList(cons(sK60,cons(sK57,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_70171,c_212]) ).
tcf(c_77105,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,cons(sK57,iPr_def_12))))
| ( cons(sK60,cons(sK57,iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,cons(sK57,iPr_def_12)))
| ~ ssList(cons(sK60,cons(sK57,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_70171,c_206]) ).
tcf(c_77118,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,cons(sK57,iPr_def_12)) = nil )
| ( cons(sK60,cons(sK57,iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,cons(sK57,iPr_def_12)))
| ( hd(X0) != sK60 )
| ( cons(sK57,iPr_def_12) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_77103,c_70172]) ).
tcf(c_77130,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,cons(sK57,iPr_def_12)) = nil )
| ( cons(sK7,cons(sK57,iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,cons(sK57,iPr_def_12)))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,cons(sK57,iPr_def_12))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_70177,c_223]) ).
tcf(c_77131,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,cons(sK57,iPr_def_12))))
| ( cons(sK7,cons(sK57,iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,cons(sK57,iPr_def_12)))
| ~ ssList(cons(sK7,cons(sK57,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_70177,c_212]) ).
tcf(c_77132,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,cons(sK57,iPr_def_12))))
| ( cons(sK7,cons(sK57,iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,cons(sK57,iPr_def_12)))
| ~ ssList(cons(sK7,cons(sK57,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_70177,c_206]) ).
tcf(c_77145,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,cons(sK57,iPr_def_12)) = nil )
| ( cons(sK7,cons(sK57,iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,cons(sK57,iPr_def_12)))
| ( hd(X0) != sK7 )
| ( cons(sK57,iPr_def_12) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_77130,c_70174]) ).
tcf(c_77157,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,cons(sK57,iPr_def_12)) = nil )
| ( cons(sK6,cons(sK57,iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,cons(sK57,iPr_def_12)))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,cons(sK57,iPr_def_12))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_70178,c_223]) ).
tcf(c_77158,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,cons(sK57,iPr_def_12))))
| ( cons(sK6,cons(sK57,iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,cons(sK57,iPr_def_12)))
| ~ ssList(cons(sK6,cons(sK57,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_70178,c_212]) ).
tcf(c_77159,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,cons(sK57,iPr_def_12))))
| ( cons(sK6,cons(sK57,iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,cons(sK57,iPr_def_12)))
| ~ ssList(cons(sK6,cons(sK57,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_70178,c_206]) ).
tcf(c_77172,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,cons(sK57,iPr_def_12)) = nil )
| ( cons(sK6,cons(sK57,iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,cons(sK57,iPr_def_12)))
| ( hd(X0) != sK6 )
| ( cons(sK57,iPr_def_12) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_77157,c_70175]) ).
tcf(c_77186,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK59,app(sK58,sK58))) = app(X0,app(X1,app(sK59,app(sK58,sK58)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_228]) ).
tcf(c_77187,plain,
( ( app(app(sK59,app(sK59,app(sK58,sK58))),sK58) = app(sK59,app(app(sK59,app(sK58,sK58)),sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_74271]) ).
tcf(c_77188,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK58,sK58)),X0),sK58) = app(app(sK59,app(sK58,sK58)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_22630]) ).
tcf(c_77189,plain,
( ( cons(sK57,app(sK59,app(sK58,sK58))) = app(iPr_def_11,app(sK59,app(sK58,sK58))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_16606]) ).
tcf(c_77190,plain,
( ( app(app(sK56,app(sK59,app(sK58,sK58))),sK59) = app(sK56,app(app(sK59,app(sK58,sK58)),sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_63530]) ).
tcf(c_77191,plain,
( ( app(app(sK58,app(sK59,app(sK58,sK58))),sK59) = app(sK58,app(app(sK59,app(sK58,sK58)),sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_63529]) ).
tcf(c_77192,plain,
( ( app(app(sK59,app(sK59,app(sK58,sK58))),sK59) = app(sK59,app(app(sK59,app(sK58,sK58)),sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_63528]) ).
tcf(c_77193,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK58,sK58)),X0),sK59) = app(app(sK59,app(sK58,sK58)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_22629]) ).
tcf(c_77194,plain,
( ( hd(app(iPr_def_11,app(sK59,app(sK58,sK58)))) = sK57 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_19198]) ).
tcf(c_77195,plain,
( ( hd(cons(sK60,app(sK59,app(sK58,sK58)))) = sK60 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_18952]) ).
tcf(c_77196,plain,
( ( tl(cons(sK60,app(sK59,app(sK58,sK58)))) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_18951]) ).
tcf(c_77197,plain,
( ( cons(sK57,app(app(sK59,app(sK58,sK58)),sK56)) = app(cons(sK57,app(sK59,app(sK58,sK58))),sK56) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_37365]) ).
tcf(c_77198,plain,
( ( tl(cons(sK7,app(sK59,app(sK58,sK58)))) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_13978]) ).
tcf(c_77199,plain,
( ( tl(cons(sK6,app(sK59,app(sK58,sK58)))) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_13977]) ).
tcf(c_77200,plain,
( ( cons(sK57,app(app(sK59,app(sK58,sK58)),sK58)) = app(cons(sK57,app(sK59,app(sK58,sK58))),sK58) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_37364]) ).
tcf(c_77201,plain,
( ( hd(cons(sK7,app(sK59,app(sK58,sK58)))) = sK7 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_13802]) ).
tcf(c_77202,plain,
( ( hd(cons(sK6,app(sK59,app(sK58,sK58)))) = sK6 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_13801]) ).
tcf(c_77203,plain,
( ( cons(sK57,app(app(sK59,app(sK58,sK58)),sK59)) = app(cons(sK57,app(sK59,app(sK58,sK58))),sK59) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_37363]) ).
tcf(c_77204,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK59,app(sK58,sK58)))) = app(cons(sK57,X0),app(sK59,app(sK58,sK58))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_22147]) ).
tcf(c_77205,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK59,app(sK58,sK58))) = tl(app(sK56,app(sK59,app(sK58,sK58)))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_21660]) ).
tcf(c_77206,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK59,app(sK58,sK58))) = tl(app(sK58,app(sK59,app(sK58,sK58)))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_21659]) ).
tcf(c_77207,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK59,app(sK58,sK58))) = tl(app(sK59,app(sK59,app(sK58,sK58)))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_21658]) ).
tcf(c_77208,plain,
( duplicatefreeP(app(sK59,app(sK58,sK58)))
| ( app(app(sK42(app(sK59,app(sK58,sK58))),cons(sK40(app(sK59,app(sK58,sK58))),sK43(app(sK59,app(sK58,sK58))))),cons(sK41(app(sK59,app(sK58,sK58))),sK44(app(sK59,app(sK58,sK58))))) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_124]) ).
tcf(c_77209,plain,
( strictorderedP(app(sK59,app(sK58,sK58)))
| ( app(app(sK37(app(sK59,app(sK58,sK58))),cons(sK35(app(sK59,app(sK58,sK58))),sK38(app(sK59,app(sK58,sK58))))),cons(sK36(app(sK59,app(sK58,sK58))),sK39(app(sK59,app(sK58,sK58))))) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_116]) ).
tcf(c_77210,plain,
( totalorderedP(app(sK59,app(sK58,sK58)))
| ( app(app(sK32(app(sK59,app(sK58,sK58))),cons(sK30(app(sK59,app(sK58,sK58))),sK33(app(sK59,app(sK58,sK58))))),cons(sK31(app(sK59,app(sK58,sK58))),sK34(app(sK59,app(sK58,sK58))))) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_108]) ).
tcf(c_77211,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK59,app(sK58,sK58)))) = hd(sK56) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_19187]) ).
tcf(c_77212,plain,
! [X0: $i] :
( ( app(sK59,app(sK58,sK58)) = nil )
| ( app(tl(app(sK59,app(sK58,sK58))),X0) = tl(app(app(sK59,app(sK58,sK58)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_234]) ).
tcf(c_77213,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK59,app(sK58,sK58)))) = hd(sK58) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_19186]) ).
tcf(c_77214,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK59,app(sK58,sK58)))) = hd(sK59) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_19185]) ).
tcf(c_77215,plain,
( equalelemsP(app(sK59,app(sK58,sK58)))
| ( app(sK47(app(sK59,app(sK58,sK58))),cons(sK45(app(sK59,app(sK58,sK58))),cons(sK46(app(sK59,app(sK58,sK58))),sK48(app(sK59,app(sK58,sK58)))))) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_132]) ).
tcf(c_77216,plain,
! [X0: $i] :
( ( app(sK59,app(sK58,sK58)) = nil )
| ( hd(app(app(sK59,app(sK58,sK58)),X0)) = hd(app(sK59,app(sK58,sK58))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_233]) ).
tcf(c_77217,plain,
( ( app(sK59,app(sK58,sK58)) = nil )
| ( cons(hd(app(sK59,app(sK58,sK58))),tl(app(sK59,app(sK58,sK58)))) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_224]) ).
tcf(c_77218,plain,
( ( app(sK59,app(sK58,sK58)) = nil )
| ( cons(sK50(app(sK59,app(sK58,sK58))),sK49(app(sK59,app(sK58,sK58)))) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_147]) ).
tcf(c_77219,plain,
( ( tl(cons(sK57,app(sK59,app(sK58,sK58)))) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_13997]) ).
tcf(c_77220,plain,
( ( hd(cons(sK57,app(sK59,app(sK58,sK58)))) = sK57 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_13821]) ).
tcf(c_77221,plain,
( ( app(sK59,app(sK58,sK58)) = nil )
| ( tl(app(sK59,app(sK58,sK58))) = sK52(app(sK59,app(sK58,sK58))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_222]) ).
tcf(c_77222,plain,
( ( app(sK59,app(sK58,sK58)) = nil )
| ( hd(app(sK59,app(sK58,sK58))) = sK51(app(sK59,app(sK58,sK58))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_220]) ).
tcf(c_77223,plain,
( duplicatefreeP(app(sK59,app(sK58,sK58)))
| ( sK40(app(sK59,app(sK58,sK58))) = sK41(app(sK59,app(sK58,sK58))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_123]) ).
tcf(c_77224,plain,
( ( app(app(sK59,app(sK58,sK58)),nil) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_232]) ).
tcf(c_77225,plain,
( ( app(nil,app(sK59,app(sK58,sK58))) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_155]) ).
tcf(c_77598,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK56,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(app(app(sK59,sK56),sK58),X0)) ),
inference(superposition,[status(thm)],[c_74625,c_67]) ).
tcf(c_77601,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK59,sK56),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ memberP(app(sK59,app(sK56,sK58)),X0) ),
inference(superposition,[status(thm)],[c_74625,c_167]) ).
tcf(c_77602,plain,
( ( app(sK59,sK56) = nil )
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_74625,c_231]) ).
tcf(c_77603,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_74625,c_230]) ).
tcf(c_77604,plain,
( frontsegP(app(sK59,app(sK56,sK58)),app(sK59,sK56))
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_74625,c_382]) ).
tcf(c_77605,plain,
( rearsegP(app(sK59,app(sK56,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_74625,c_379]) ).
tcf(c_77606,plain,
( ssList(app(sK59,app(sK56,sK58)))
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_74625,c_153]) ).
tcf(c_77607,plain,
! [X0: $i] :
( ( app(sK59,sK56) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK58)) != app(X0,sK58) ) ),
inference(superposition,[status(thm)],[c_74625,c_225]) ).
tcf(c_77608,plain,
( segmentP(app(sK59,app(sK56,sK58)),sK56)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(app(sK59,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_74625,c_67]) ).
tcf(c_77609,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ( app(app(sK59,sK56),X0) != app(sK59,app(sK56,sK58)) ) ),
inference(superposition,[status(thm)],[c_74625,c_226]) ).
tcf(c_77610,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ~ frontsegP(app(sK59,sK56),X0) ),
inference(superposition,[status(thm)],[c_74625,c_176]) ).
tcf(c_77611,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ memberP(app(sK59,sK56),X0) ),
inference(superposition,[status(thm)],[c_74625,c_165]) ).
tcf(c_77612,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK56,sK58)),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_74625,c_193]) ).
tcf(c_77613,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_74625,c_186]) ).
tcf(c_77614,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_74625,c_166]) ).
tcf(c_77615,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK56,sK58)),X0)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_74625,c_193]) ).
tcf(c_77616,plain,
( ( app(sK59,sK56) = iPr_def_11 )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK58)) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_74625,c_42471]) ).
tcf(c_77617,plain,
( ( app(sK59,sK56) = nil )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_74625,c_25207]) ).
tcf(c_77618,plain,
( ssList(app(sK59,app(sK56,sK58)))
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77606,c_8915]) ).
tcf(c_77621,plain,
( rearsegP(app(sK59,app(sK56,sK58)),sK58)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77605,c_8915]) ).
tcf(c_77624,plain,
( frontsegP(app(sK59,app(sK56,sK58)),app(sK59,sK56))
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77604,c_8915]) ).
tcf(c_77630,plain,
( ( nil = sK58 )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77603,c_8915]) ).
tcf(c_77637,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK56,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77614,c_8915]) ).
tcf(c_77642,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77613,c_8915]) ).
tcf(c_77647,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77615,c_8907,c_8916,c_8915]) ).
tcf(c_77651,plain,
( segmentP(app(sK59,app(sK56,sK58)),sK56)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(sK59,app(sK56,sK58))) ),
inference(light_normalisation,[status(thm)],[c_77608,c_74625]) ).
tcf(c_77652,plain,
( segmentP(app(sK59,app(sK56,sK58)),sK56)
| ~ ssList(app(sK59,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77651,c_8907,c_8916,c_8915]) ).
tcf(c_77655,plain,
( ( app(sK59,sK56) = nil )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77602,c_8915]) ).
tcf(c_77659,plain,
! [X0: $i] :
( memberP(app(sK59,app(sK56,sK58)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ memberP(app(sK59,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77611,c_8915]) ).
tcf(c_77664,plain,
! [X0: $i] :
( frontsegP(app(sK59,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ~ frontsegP(app(sK59,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77610,c_8915]) ).
tcf(c_77669,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK59,app(sK56,sK58)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK59,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77612,c_8915]) ).
tcf(c_77675,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK59,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK59,sK56))
| ~ memberP(app(sK59,app(sK56,sK58)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77601,c_8915]) ).
tcf(c_77681,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ( app(app(sK59,sK56),X0) != app(sK59,app(sK56,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77609,c_8915]) ).
tcf(c_77686,plain,
! [X0: $i] :
( ( app(sK59,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77607,c_8915]) ).
tcf(c_77691,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK56,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(app(sK59,app(sK56,sK58)),X0)) ),
inference(light_normalisation,[status(thm)],[c_77598,c_74625]) ).
tcf(c_77692,plain,
! [X0: $i] :
( segmentP(app(app(sK59,app(sK56,sK58)),X0),sK58)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(app(sK59,app(sK56,sK58)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77691,c_8915]) ).
tcf(c_77755,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK59,app(sK56,sK58))) = app(X0,app(X1,app(sK59,app(sK56,sK58)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_228]) ).
tcf(c_77756,plain,
( ( app(app(sK59,app(sK59,app(sK56,sK58))),sK58) = app(sK59,app(app(sK59,app(sK56,sK58)),sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_74271]) ).
tcf(c_77757,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK56,sK58)),X0),sK58) = app(app(sK59,app(sK56,sK58)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_22630]) ).
tcf(c_77758,plain,
( ( cons(sK57,app(sK59,app(sK56,sK58))) = app(iPr_def_11,app(sK59,app(sK56,sK58))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_16606]) ).
tcf(c_77759,plain,
( ( app(app(sK56,app(sK59,app(sK56,sK58))),sK59) = app(sK56,app(app(sK59,app(sK56,sK58)),sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_63530]) ).
tcf(c_77760,plain,
( ( app(app(sK58,app(sK59,app(sK56,sK58))),sK59) = app(sK58,app(app(sK59,app(sK56,sK58)),sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_63529]) ).
tcf(c_77761,plain,
( ( app(app(sK59,app(sK59,app(sK56,sK58))),sK59) = app(sK59,app(app(sK59,app(sK56,sK58)),sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_63528]) ).
tcf(c_77762,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK56,sK58)),X0),sK59) = app(app(sK59,app(sK56,sK58)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_22629]) ).
tcf(c_77763,plain,
( ( hd(app(iPr_def_11,app(sK59,app(sK56,sK58)))) = sK57 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_19198]) ).
tcf(c_77764,plain,
( ( hd(cons(sK60,app(sK59,app(sK56,sK58)))) = sK60 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_18952]) ).
tcf(c_77765,plain,
( ( tl(cons(sK60,app(sK59,app(sK56,sK58)))) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_18951]) ).
tcf(c_77766,plain,
( ( cons(sK57,app(app(sK59,app(sK56,sK58)),sK56)) = app(cons(sK57,app(sK59,app(sK56,sK58))),sK56) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_37365]) ).
tcf(c_77767,plain,
( ( tl(cons(sK7,app(sK59,app(sK56,sK58)))) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_13978]) ).
tcf(c_77768,plain,
( ( tl(cons(sK6,app(sK59,app(sK56,sK58)))) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_13977]) ).
tcf(c_77769,plain,
( ( cons(sK57,app(app(sK59,app(sK56,sK58)),sK58)) = app(cons(sK57,app(sK59,app(sK56,sK58))),sK58) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_37364]) ).
tcf(c_77770,plain,
( ( hd(cons(sK7,app(sK59,app(sK56,sK58)))) = sK7 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_13802]) ).
tcf(c_77771,plain,
( ( hd(cons(sK6,app(sK59,app(sK56,sK58)))) = sK6 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_13801]) ).
tcf(c_77772,plain,
( ( cons(sK57,app(app(sK59,app(sK56,sK58)),sK59)) = app(cons(sK57,app(sK59,app(sK56,sK58))),sK59) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_37363]) ).
tcf(c_77773,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK59,app(sK56,sK58)))) = app(cons(sK57,X0),app(sK59,app(sK56,sK58))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_22147]) ).
tcf(c_77774,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK59,app(sK56,sK58))) = tl(app(sK56,app(sK59,app(sK56,sK58)))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_21660]) ).
tcf(c_77775,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK59,app(sK56,sK58))) = tl(app(sK58,app(sK59,app(sK56,sK58)))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_21659]) ).
tcf(c_77776,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK59,app(sK56,sK58))) = tl(app(sK59,app(sK59,app(sK56,sK58)))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_21658]) ).
tcf(c_77777,plain,
( duplicatefreeP(app(sK59,app(sK56,sK58)))
| ( app(app(sK42(app(sK59,app(sK56,sK58))),cons(sK40(app(sK59,app(sK56,sK58))),sK43(app(sK59,app(sK56,sK58))))),cons(sK41(app(sK59,app(sK56,sK58))),sK44(app(sK59,app(sK56,sK58))))) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_124]) ).
tcf(c_77778,plain,
( strictorderedP(app(sK59,app(sK56,sK58)))
| ( app(app(sK37(app(sK59,app(sK56,sK58))),cons(sK35(app(sK59,app(sK56,sK58))),sK38(app(sK59,app(sK56,sK58))))),cons(sK36(app(sK59,app(sK56,sK58))),sK39(app(sK59,app(sK56,sK58))))) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_116]) ).
tcf(c_77779,plain,
( totalorderedP(app(sK59,app(sK56,sK58)))
| ( app(app(sK32(app(sK59,app(sK56,sK58))),cons(sK30(app(sK59,app(sK56,sK58))),sK33(app(sK59,app(sK56,sK58))))),cons(sK31(app(sK59,app(sK56,sK58))),sK34(app(sK59,app(sK56,sK58))))) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_108]) ).
tcf(c_77780,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK59,app(sK56,sK58)))) = hd(sK56) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_19187]) ).
tcf(c_77781,plain,
! [X0: $i] :
( ( app(sK59,app(sK56,sK58)) = nil )
| ( app(tl(app(sK59,app(sK56,sK58))),X0) = tl(app(app(sK59,app(sK56,sK58)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_234]) ).
tcf(c_77782,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK59,app(sK56,sK58)))) = hd(sK58) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_19186]) ).
tcf(c_77783,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK59,app(sK56,sK58)))) = hd(sK59) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_19185]) ).
tcf(c_77784,plain,
( equalelemsP(app(sK59,app(sK56,sK58)))
| ( app(sK47(app(sK59,app(sK56,sK58))),cons(sK45(app(sK59,app(sK56,sK58))),cons(sK46(app(sK59,app(sK56,sK58))),sK48(app(sK59,app(sK56,sK58)))))) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_132]) ).
tcf(c_77785,plain,
! [X0: $i] :
( ( app(sK59,app(sK56,sK58)) = nil )
| ( hd(app(app(sK59,app(sK56,sK58)),X0)) = hd(app(sK59,app(sK56,sK58))) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_233]) ).
tcf(c_77786,plain,
( ( app(sK59,app(sK56,sK58)) = nil )
| ( cons(hd(app(sK59,app(sK56,sK58))),tl(app(sK59,app(sK56,sK58)))) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_224]) ).
tcf(c_77787,plain,
( ( app(sK59,app(sK56,sK58)) = nil )
| ( cons(sK50(app(sK59,app(sK56,sK58))),sK49(app(sK59,app(sK56,sK58)))) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_147]) ).
tcf(c_77788,plain,
( ( tl(cons(sK57,app(sK59,app(sK56,sK58)))) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_13997]) ).
tcf(c_77789,plain,
( ( hd(cons(sK57,app(sK59,app(sK56,sK58)))) = sK57 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_13821]) ).
tcf(c_77790,plain,
( ( app(sK59,app(sK56,sK58)) = nil )
| ( tl(app(sK59,app(sK56,sK58))) = sK52(app(sK59,app(sK56,sK58))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_222]) ).
tcf(c_77791,plain,
( ( app(sK59,app(sK56,sK58)) = nil )
| ( hd(app(sK59,app(sK56,sK58))) = sK51(app(sK59,app(sK56,sK58))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_220]) ).
tcf(c_77792,plain,
( duplicatefreeP(app(sK59,app(sK56,sK58)))
| ( sK40(app(sK59,app(sK56,sK58))) = sK41(app(sK59,app(sK56,sK58))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_123]) ).
tcf(c_77793,plain,
( ( app(app(sK59,app(sK56,sK58)),nil) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_232]) ).
tcf(c_77794,plain,
( ( app(nil,app(sK59,app(sK56,sK58))) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_155]) ).
tcf(c_78267,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_75702,c_183]) ).
tcf(c_78268,plain,
( ( app(sK59,app(sK59,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK58)))
| ~ rearsegP(sK58,app(sK59,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_75702,c_184]) ).
tcf(c_78269,plain,
( ( app(sK12(app(sK59,app(sK59,sK58)),sK58),sK58) = app(sK59,app(sK59,sK58)) )
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_75702,c_66]) ).
tcf(c_78271,plain,
( ( app(sK12(app(sK59,app(sK59,sK58)),sK58),sK58) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78269,c_8915]) ).
tcf(c_78275,plain,
( ( app(sK59,app(sK59,sK58)) = sK58 )
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK58)))
| ~ rearsegP(sK58,app(sK59,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78268,c_8915]) ).
tcf(c_78284,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_76426,c_183]) ).
tcf(c_78285,plain,
( ( app(sK59,app(sK58,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK58)))
| ~ rearsegP(sK58,app(sK59,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_76426,c_184]) ).
tcf(c_78286,plain,
( ( app(sK12(app(sK59,app(sK58,sK58)),sK58),sK58) = app(sK59,app(sK58,sK58)) )
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_76426,c_66]) ).
tcf(c_78288,plain,
( ( app(sK12(app(sK59,app(sK58,sK58)),sK58),sK58) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78286,c_8915]) ).
tcf(c_78292,plain,
( ( app(sK59,app(sK58,sK58)) = sK58 )
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK58)))
| ~ rearsegP(sK58,app(sK59,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78285,c_8915]) ).
tcf(c_78301,plain,
! [X0: $i] :
( rearsegP(app(sK59,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_77621,c_183]) ).
tcf(c_78302,plain,
( ( app(sK59,app(sK56,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK58)))
| ~ rearsegP(sK58,app(sK59,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_77621,c_184]) ).
tcf(c_78303,plain,
( ( app(sK12(app(sK59,app(sK56,sK58)),sK58),sK58) = app(sK59,app(sK56,sK58)) )
| ~ ssList(sK58)
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_77621,c_66]) ).
tcf(c_78305,plain,
( ( app(sK12(app(sK59,app(sK56,sK58)),sK58),sK58) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78303,c_8915]) ).
tcf(c_78309,plain,
( ( app(sK59,app(sK56,sK58)) = sK58 )
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK58)))
| ~ rearsegP(sK58,app(sK59,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78302,c_8915]) ).
tcf(c_78327,plain,
( ( app(sK59,app(sK59,sK58)) = app(sK59,sK59) )
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK58)))
| ~ frontsegP(app(sK59,sK59),app(sK59,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_75705,c_174]) ).
tcf(c_78328,plain,
( ( app(app(sK59,sK59),sK11(app(sK59,app(sK59,sK58)),app(sK59,sK59))) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59))
| ~ ssList(app(sK59,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_75705,c_63]) ).
tcf(c_78391,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK59,app(sK59,sK58)),X0),X0),sK14(app(sK59,app(sK59,sK58)),X0)) = app(sK59,app(sK59,sK58)) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK59,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_75711,c_70]) ).
tcf(c_78392,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,app(sK59,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK59,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_75711,c_190]) ).
tcf(c_78393,plain,
! [X0: $i] :
( ( app(sK59,app(sK59,sK58)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK59,app(sK59,sK58)))
| ~ segmentP(X0,app(sK59,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_75711,c_191]) ).
tcf(c_78416,plain,
( ssList(tl(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20006,c_221]) ).
tcf(c_78417,plain,
( ssList(tl(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78416,c_19014]) ).
tcf(c_78424,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = nil )
| ( app(app(X0,X1),tl(tl(iPr_def_12))) = app(X0,app(X1,tl(tl(iPr_def_12)))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78417,c_228]) ).
tcf(c_78425,plain,
( ( tl(iPr_def_12) = nil )
| ( app(app(sK59,tl(tl(iPr_def_12))),sK58) = app(sK59,app(tl(tl(iPr_def_12)),sK58)) ) ),
inference(superposition,[status(thm)],[c_78417,c_74271]) ).
tcf(c_78426,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = nil )
| ( app(app(tl(tl(iPr_def_12)),X0),sK58) = app(tl(tl(iPr_def_12)),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78417,c_22630]) ).
tcf(c_78427,plain,
( ( tl(iPr_def_12) = nil )
| ( cons(sK57,tl(tl(iPr_def_12))) = app(iPr_def_11,tl(tl(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_78417,c_16606]) ).
tcf(c_78428,plain,
( ( tl(iPr_def_12) = nil )
| ( app(app(sK56,tl(tl(iPr_def_12))),sK59) = app(sK56,app(tl(tl(iPr_def_12)),sK59)) ) ),
inference(superposition,[status(thm)],[c_78417,c_63530]) ).
tcf(c_78429,plain,
( ( tl(iPr_def_12) = nil )
| ( app(app(sK58,tl(tl(iPr_def_12))),sK59) = app(sK58,app(tl(tl(iPr_def_12)),sK59)) ) ),
inference(superposition,[status(thm)],[c_78417,c_63529]) ).
tcf(c_78430,plain,
( ( tl(iPr_def_12) = nil )
| ( app(app(sK59,tl(tl(iPr_def_12))),sK59) = app(sK59,app(tl(tl(iPr_def_12)),sK59)) ) ),
inference(superposition,[status(thm)],[c_78417,c_63528]) ).
tcf(c_78431,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = nil )
| ( app(app(tl(tl(iPr_def_12)),X0),sK59) = app(tl(tl(iPr_def_12)),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78417,c_22629]) ).
tcf(c_78432,plain,
( ( tl(iPr_def_12) = nil )
| ( hd(app(iPr_def_11,tl(tl(iPr_def_12)))) = sK57 ) ),
inference(superposition,[status(thm)],[c_78417,c_19198]) ).
tcf(c_78433,plain,
( ( tl(iPr_def_12) = nil )
| ( hd(cons(sK60,tl(tl(iPr_def_12)))) = sK60 ) ),
inference(superposition,[status(thm)],[c_78417,c_18952]) ).
tcf(c_78434,plain,
( ( tl(iPr_def_12) = nil )
| ( tl(cons(sK60,tl(tl(iPr_def_12)))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78417,c_18951]) ).
tcf(c_78435,plain,
( ( tl(iPr_def_12) = nil )
| ( cons(sK57,app(tl(tl(iPr_def_12)),sK56)) = app(cons(sK57,tl(tl(iPr_def_12))),sK56) ) ),
inference(superposition,[status(thm)],[c_78417,c_37365]) ).
tcf(c_78436,plain,
( ( tl(iPr_def_12) = nil )
| ( tl(cons(sK7,tl(tl(iPr_def_12)))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78417,c_13978]) ).
tcf(c_78437,plain,
( ( tl(iPr_def_12) = nil )
| ( tl(cons(sK6,tl(tl(iPr_def_12)))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78417,c_13977]) ).
tcf(c_78438,plain,
( ( tl(iPr_def_12) = nil )
| ( cons(sK57,app(tl(tl(iPr_def_12)),sK58)) = app(cons(sK57,tl(tl(iPr_def_12))),sK58) ) ),
inference(superposition,[status(thm)],[c_78417,c_37364]) ).
tcf(c_78439,plain,
( ( tl(iPr_def_12) = nil )
| ( hd(cons(sK7,tl(tl(iPr_def_12)))) = sK7 ) ),
inference(superposition,[status(thm)],[c_78417,c_13802]) ).
tcf(c_78440,plain,
( ( tl(iPr_def_12) = nil )
| ( hd(cons(sK6,tl(tl(iPr_def_12)))) = sK6 ) ),
inference(superposition,[status(thm)],[c_78417,c_13801]) ).
tcf(c_78441,plain,
( ( tl(iPr_def_12) = nil )
| ( cons(sK57,app(tl(tl(iPr_def_12)),sK59)) = app(cons(sK57,tl(tl(iPr_def_12))),sK59) ) ),
inference(superposition,[status(thm)],[c_78417,c_37363]) ).
tcf(c_78442,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = nil )
| ( cons(sK57,app(X0,tl(tl(iPr_def_12)))) = app(cons(sK57,X0),tl(tl(iPr_def_12))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78417,c_22147]) ).
tcf(c_78443,plain,
( ( nil = sK56 )
| ( tl(iPr_def_12) = nil )
| ( app(tl(sK56),tl(tl(iPr_def_12))) = tl(app(sK56,tl(tl(iPr_def_12)))) ) ),
inference(superposition,[status(thm)],[c_78417,c_21660]) ).
tcf(c_78444,plain,
( ( nil = sK58 )
| ( tl(iPr_def_12) = nil )
| ( app(tl(sK58),tl(tl(iPr_def_12))) = tl(app(sK58,tl(tl(iPr_def_12)))) ) ),
inference(superposition,[status(thm)],[c_78417,c_21659]) ).
tcf(c_78445,plain,
( ( nil = sK59 )
| ( tl(iPr_def_12) = nil )
| ( app(tl(sK59),tl(tl(iPr_def_12))) = tl(app(sK59,tl(tl(iPr_def_12)))) ) ),
inference(superposition,[status(thm)],[c_78417,c_21658]) ).
tcf(c_78446,plain,
( duplicatefreeP(tl(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ( app(app(sK42(tl(tl(iPr_def_12))),cons(sK40(tl(tl(iPr_def_12))),sK43(tl(tl(iPr_def_12))))),cons(sK41(tl(tl(iPr_def_12))),sK44(tl(tl(iPr_def_12))))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78417,c_124]) ).
tcf(c_78447,plain,
( strictorderedP(tl(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ( app(app(sK37(tl(tl(iPr_def_12))),cons(sK35(tl(tl(iPr_def_12))),sK38(tl(tl(iPr_def_12))))),cons(sK36(tl(tl(iPr_def_12))),sK39(tl(tl(iPr_def_12))))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78417,c_116]) ).
tcf(c_78448,plain,
( totalorderedP(tl(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ( app(app(sK32(tl(tl(iPr_def_12))),cons(sK30(tl(tl(iPr_def_12))),sK33(tl(tl(iPr_def_12))))),cons(sK31(tl(tl(iPr_def_12))),sK34(tl(tl(iPr_def_12))))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78417,c_108]) ).
tcf(c_78449,plain,
( ( nil = sK56 )
| ( tl(iPr_def_12) = nil )
| ( hd(app(sK56,tl(tl(iPr_def_12)))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_78417,c_19187]) ).
tcf(c_78450,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = nil )
| ( tl(tl(iPr_def_12)) = nil )
| ( app(tl(tl(tl(iPr_def_12))),X0) = tl(app(tl(tl(iPr_def_12)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78417,c_234]) ).
tcf(c_78451,plain,
( ( nil = sK58 )
| ( tl(iPr_def_12) = nil )
| ( hd(app(sK58,tl(tl(iPr_def_12)))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_78417,c_19186]) ).
tcf(c_78452,plain,
( ( nil = sK59 )
| ( tl(iPr_def_12) = nil )
| ( hd(app(sK59,tl(tl(iPr_def_12)))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_78417,c_19185]) ).
tcf(c_78453,plain,
( equalelemsP(tl(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ( app(sK47(tl(tl(iPr_def_12))),cons(sK45(tl(tl(iPr_def_12))),cons(sK46(tl(tl(iPr_def_12))),sK48(tl(tl(iPr_def_12)))))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78417,c_132]) ).
tcf(c_78454,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = nil )
| ( tl(tl(iPr_def_12)) = nil )
| ( hd(app(tl(tl(iPr_def_12)),X0)) = hd(tl(tl(iPr_def_12))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78417,c_233]) ).
tcf(c_78455,plain,
( ( tl(iPr_def_12) = nil )
| ( tl(tl(iPr_def_12)) = nil )
| ( cons(hd(tl(tl(iPr_def_12))),tl(tl(tl(iPr_def_12)))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78417,c_224]) ).
tcf(c_78456,plain,
( ( tl(iPr_def_12) = nil )
| ( tl(tl(iPr_def_12)) = nil )
| ( cons(sK50(tl(tl(iPr_def_12))),sK49(tl(tl(iPr_def_12)))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78417,c_147]) ).
tcf(c_78457,plain,
( ( tl(iPr_def_12) = nil )
| ( tl(cons(sK57,tl(tl(iPr_def_12)))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78417,c_13997]) ).
tcf(c_78458,plain,
( ( tl(iPr_def_12) = nil )
| ( hd(cons(sK57,tl(tl(iPr_def_12)))) = sK57 ) ),
inference(superposition,[status(thm)],[c_78417,c_13821]) ).
tcf(c_78459,plain,
( ( tl(iPr_def_12) = nil )
| ( tl(tl(iPr_def_12)) = nil )
| ( tl(tl(tl(iPr_def_12))) = sK52(tl(tl(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_78417,c_222]) ).
tcf(c_78460,plain,
( ( tl(iPr_def_12) = nil )
| ( tl(tl(iPr_def_12)) = nil )
| ( hd(tl(tl(iPr_def_12))) = sK51(tl(tl(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_78417,c_220]) ).
tcf(c_78461,plain,
( duplicatefreeP(tl(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ( sK40(tl(tl(iPr_def_12))) = sK41(tl(tl(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_78417,c_123]) ).
tcf(c_78462,plain,
( ( tl(iPr_def_12) = nil )
| ( app(tl(tl(iPr_def_12)),nil) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78417,c_232]) ).
tcf(c_78463,plain,
( ( tl(iPr_def_12) = nil )
| ( app(nil,tl(tl(iPr_def_12))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78417,c_155]) ).
tcf(c_79132,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK57,iPr_def_11),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK57,iPr_def_11)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_72661,c_122]) ).
tcf(c_79133,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK57,iPr_def_11),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK57,iPr_def_11)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_72661,c_114]) ).
tcf(c_79134,plain,
! [X0: $i] :
( ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,iPr_def_11),cons(sK57,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK57,iPr_def_11)),cons(sK57,X0))) ),
inference(superposition,[status(thm)],[c_72661,c_130]) ).
tcf(c_79138,plain,
( memberP(cons(sK57,iPr_def_11),sK57)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(nil,cons(sK57,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_72661,c_54]) ).
tcf(c_79139,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X0),cons(sK57,iPr_def_11))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ~ ssList(app(app(nil,cons(sK57,iPr_def_11)),X0)) ),
inference(superposition,[status(thm)],[c_72661,c_67]) ).
tcf(c_79145,plain,
( frontsegP(cons(sK57,iPr_def_11),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_72661,c_382]) ).
tcf(c_79146,plain,
( rearsegP(cons(sK57,iPr_def_11),cons(sK57,iPr_def_11))
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_72661,c_379]) ).
tcf(c_79148,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ( app(X0,cons(sK57,iPr_def_11)) != cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_72661,c_225]) ).
tcf(c_79152,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_11) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ( app(nil,X0) != cons(sK57,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_72661,c_226]) ).
tcf(c_79153,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_11),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_72661,c_176]) ).
tcf(c_79155,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ~ segmentP(cons(sK57,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_72661,c_193]) ).
tcf(c_79158,plain,
frontsegP(cons(sK57,iPr_def_11),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_79145,c_141,c_72108]) ).
tcf(c_79159,plain,
rearsegP(cons(sK57,iPr_def_11),cons(sK57,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_79146,c_141,c_72108]) ).
tcf(c_79160,plain,
! [X0: $i] :
( frontsegP(cons(sK57,iPr_def_11),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79153,c_141,c_72108]) ).
tcf(c_79164,plain,
( memberP(cons(sK57,iPr_def_11),sK57)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_79138,c_72661]) ).
tcf(c_79165,plain,
memberP(cons(sK57,iPr_def_11),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_79164,c_12706,c_141,c_8914,c_72108]) ).
tcf(c_79166,plain,
! [X0: $i] :
( ( cons(sK57,iPr_def_11) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK57,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79152,c_141,c_72108]) ).
tcf(c_79170,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK57,iPr_def_11)) != cons(sK57,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79148,c_141,c_72108]) ).
tcf(c_79174,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(cons(sK57,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79155,c_141,c_72108]) ).
tcf(c_79179,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X0),cons(sK57,iPr_def_11))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK57,iPr_def_11))
| ~ ssList(app(cons(sK57,iPr_def_11),X0)) ),
inference(light_normalisation,[status(thm)],[c_79139,c_72661]) ).
tcf(c_79180,plain,
! [X0: $i] :
( segmentP(app(cons(sK57,iPr_def_11),X0),cons(sK57,iPr_def_11))
| ~ ssList(X0)
| ~ ssList(app(cons(sK57,iPr_def_11),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79179,c_141,c_72108]) ).
tcf(c_79202,plain,
! [X0: $i] :
( ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK57,iPr_def_11),cons(sK57,X0)))
| ~ ssList(app(cons(sK57,iPr_def_11),cons(sK57,X0))) ),
inference(light_normalisation,[status(thm)],[c_79134,c_72661]) ).
tcf(c_79203,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK57,iPr_def_11),cons(sK57,X0)))
| ~ ssList(app(cons(sK57,iPr_def_11),cons(sK57,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79202,c_12706,c_141,c_8914]) ).
tcf(c_79207,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK57,iPr_def_11),cons(X0,X1)))
| ~ ssList(app(cons(sK57,iPr_def_11),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_79133,c_72661]) ).
tcf(c_79208,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK57,iPr_def_11),cons(X0,X1)))
| ~ ssList(app(cons(sK57,iPr_def_11),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79207,c_12706,c_141,c_8914]) ).
tcf(c_79214,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK57,iPr_def_11),cons(X0,X1)))
| ~ ssList(app(cons(sK57,iPr_def_11),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_79132,c_72661]) ).
tcf(c_79215,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK57,iPr_def_11),cons(X0,X1)))
| ~ ssList(app(cons(sK57,iPr_def_11),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79214,c_12706,c_141,c_8914]) ).
tcf(c_79272,plain,
( ( cons(sK57,iPr_def_11) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_11))
| ~ frontsegP(nil,cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_79158,c_174]) ).
tcf(c_79273,plain,
( ( app(nil,sK11(cons(sK57,iPr_def_11),nil)) = cons(sK57,iPr_def_11) )
| ~ ssList(nil)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_79158,c_63]) ).
tcf(c_79274,plain,
app(nil,sK11(cons(sK57,iPr_def_11),nil)) = cons(sK57,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_79273,c_141,c_72108]) ).
tcf(c_79275,plain,
~ frontsegP(nil,cons(sK57,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_79272,c_72118,c_141,c_72108]) ).
tcf(c_79276,plain,
( ( app(sK8(cons(sK57,iPr_def_11),sK57),cons(sK57,sK9(cons(sK57,iPr_def_11),sK57))) = cons(sK57,iPr_def_11) )
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_79165,c_57]) ).
tcf(c_79277,plain,
( ( app(nil,sK8(cons(sK57,iPr_def_11),sK57)) = sK8(cons(sK57,iPr_def_11),sK57) )
| ~ ssItem(sK57)
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_79165,c_12510]) ).
tcf(c_79279,plain,
app(nil,sK8(cons(sK57,iPr_def_11),sK57)) = sK8(cons(sK57,iPr_def_11),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_79277,c_8914,c_72108]) ).
tcf(c_79280,plain,
app(sK8(cons(sK57,iPr_def_11),sK57),cons(sK57,sK9(cons(sK57,iPr_def_11),sK57))) = cons(sK57,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_79276,c_8914,c_72108]) ).
tcf(c_79283,plain,
( ( app(sK12(cons(sK57,iPr_def_11),cons(sK57,iPr_def_11)),cons(sK57,iPr_def_11)) = cons(sK57,iPr_def_11) )
| ~ ssList(cons(sK57,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_79159,c_66]) ).
tcf(c_79284,plain,
app(sK12(cons(sK57,iPr_def_11),cons(sK57,iPr_def_11)),cons(sK57,iPr_def_11)) = cons(sK57,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_79283,c_72108]) ).
tcf(c_79287,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,cons(sK57,iPr_def_12)) = nil )
| ( cons(sK57,cons(sK57,iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,cons(sK57,iPr_def_12)))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,cons(sK57,iPr_def_12))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_70196,c_223]) ).
tcf(c_79288,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,cons(sK57,iPr_def_12))))
| ( cons(sK57,cons(sK57,iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,cons(sK57,iPr_def_12)))
| ~ ssList(cons(sK57,cons(sK57,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_70196,c_212]) ).
tcf(c_79289,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,cons(sK57,iPr_def_12))))
| ( cons(sK57,cons(sK57,iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,cons(sK57,iPr_def_12)))
| ~ ssList(cons(sK57,cons(sK57,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_70196,c_206]) ).
tcf(c_79302,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,cons(sK57,iPr_def_12)) = nil )
| ( cons(sK57,cons(sK57,iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,cons(sK57,iPr_def_12)))
| ( hd(X0) != sK57 )
| ( cons(sK57,iPr_def_12) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_79287,c_70195]) ).
tcf(c_79317,plain,
( ( app(app(sK13(app(sK59,app(sK59,sK58)),sK59),sK59),sK14(app(sK59,app(sK59,sK58)),sK59)) = app(sK59,app(sK59,sK58)) )
| ~ ssList(sK59)
| ~ ssList(app(sK59,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_75716,c_70]) ).
tcf(c_79318,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK59,sK58)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK59,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_75716,c_190]) ).
tcf(c_79319,plain,
( ( app(sK59,app(sK59,sK58)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK59,app(sK59,sK58)))
| ~ segmentP(sK59,app(sK59,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_75716,c_191]) ).
tcf(c_79321,plain,
( ( app(sK59,app(sK59,sK58)) = sK59 )
| ~ ssList(app(sK59,app(sK59,sK58)))
| ~ segmentP(sK59,app(sK59,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79319,c_8916]) ).
tcf(c_79325,plain,
( ( app(app(sK13(app(sK59,app(sK59,sK58)),sK59),sK59),sK14(app(sK59,app(sK59,sK58)),sK59)) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79317,c_8916]) ).
tcf(c_79333,plain,
( ( app(sK59,app(sK58,sK58)) = app(sK59,sK58) )
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK58)))
| ~ frontsegP(app(sK59,sK58),app(sK59,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_76429,c_174]) ).
tcf(c_79334,plain,
( ( app(app(sK59,sK58),sK11(app(sK59,app(sK58,sK58)),app(sK59,sK58))) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58))
| ~ ssList(app(sK59,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_76429,c_63]) ).
tcf(c_79348,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK59,app(sK58,sK58)),X0),X0),sK14(app(sK59,app(sK58,sK58)),X0)) = app(sK59,app(sK58,sK58)) )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK59,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_76435,c_70]) ).
tcf(c_79349,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,app(sK58,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK59,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_76435,c_190]) ).
tcf(c_79350,plain,
! [X0: $i] :
( ( app(sK59,app(sK58,sK58)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK59,app(sK58,sK58)))
| ~ segmentP(X0,app(sK59,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_76435,c_191]) ).
tcf(c_79373,plain,
( ( app(app(sK13(app(sK59,app(sK58,sK58)),sK58),sK58),sK14(app(sK59,app(sK58,sK58)),sK58)) = app(sK59,app(sK58,sK58)) )
| ~ ssList(sK58)
| ~ ssList(app(sK59,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_76440,c_70]) ).
tcf(c_79374,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK59,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_76440,c_190]) ).
tcf(c_79375,plain,
( ( app(sK59,app(sK58,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK59,app(sK58,sK58)))
| ~ segmentP(sK58,app(sK59,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_76440,c_191]) ).
tcf(c_79377,plain,
( ( app(sK59,app(sK58,sK58)) = sK58 )
| ~ ssList(app(sK59,app(sK58,sK58)))
| ~ segmentP(sK58,app(sK59,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79375,c_8915]) ).
tcf(c_79381,plain,
( ( app(app(sK13(app(sK59,app(sK58,sK58)),sK58),sK58),sK14(app(sK59,app(sK58,sK58)),sK58)) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79373,c_8915]) ).
tcf(c_79389,plain,
( ( app(sK59,app(sK56,sK58)) = app(sK59,sK56) )
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK58)))
| ~ frontsegP(app(sK59,sK56),app(sK59,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_77624,c_174]) ).
tcf(c_79390,plain,
( ( app(app(sK59,sK56),sK11(app(sK59,app(sK56,sK58)),app(sK59,sK56))) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56))
| ~ ssList(app(sK59,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_77624,c_63]) ).
tcf(c_79404,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK59,app(sK56,sK58)),X0),X0),sK14(app(sK59,app(sK56,sK58)),X0)) = app(sK59,app(sK56,sK58)) )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK59,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_77647,c_70]) ).
tcf(c_79405,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK59,app(sK56,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK59,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_77647,c_190]) ).
tcf(c_79406,plain,
! [X0: $i] :
( ( app(sK59,app(sK56,sK58)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK59,app(sK56,sK58)))
| ~ segmentP(X0,app(sK59,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_77647,c_191]) ).
tcf(c_79429,plain,
( ( app(app(sK13(app(sK59,app(sK56,sK58)),sK56),sK56),sK14(app(sK59,app(sK56,sK58)),sK56)) = app(sK59,app(sK56,sK58)) )
| ~ ssList(sK56)
| ~ ssList(app(sK59,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_77652,c_70]) ).
tcf(c_79430,plain,
! [X0: $i] :
( segmentP(app(sK59,app(sK56,sK58)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK59,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_77652,c_190]) ).
tcf(c_79431,plain,
( ( app(sK59,app(sK56,sK58)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK59,app(sK56,sK58)))
| ~ segmentP(sK56,app(sK59,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_77652,c_191]) ).
tcf(c_79433,plain,
( ( app(sK59,app(sK56,sK58)) = sK56 )
| ~ ssList(app(sK59,app(sK56,sK58)))
| ~ segmentP(sK56,app(sK59,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79431,c_8907]) ).
tcf(c_79437,plain,
( ( app(app(sK13(app(sK59,app(sK56,sK58)),sK56),sK56),sK14(app(sK59,app(sK56,sK58)),sK56)) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79429,c_8907]) ).
tcf(c_79440,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,iPr_def_11),sK57),X0),sK8(cons(sK57,iPr_def_11),sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_11),sK57))
| ~ ssList(app(app(nil,sK8(cons(sK57,iPr_def_11),sK57)),X0)) ),
inference(superposition,[status(thm)],[c_79279,c_67]) ).
tcf(c_79446,plain,
( frontsegP(sK8(cons(sK57,iPr_def_11),sK57),nil)
| ~ ssList(nil)
| ~ ssList(sK8(cons(sK57,iPr_def_11),sK57)) ),
inference(superposition,[status(thm)],[c_79279,c_382]) ).
tcf(c_79447,plain,
( rearsegP(sK8(cons(sK57,iPr_def_11),sK57),sK8(cons(sK57,iPr_def_11),sK57))
| ~ ssList(nil)
| ~ ssList(sK8(cons(sK57,iPr_def_11),sK57)) ),
inference(superposition,[status(thm)],[c_79279,c_379]) ).
tcf(c_79449,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_11),sK57))
| ( app(X0,sK8(cons(sK57,iPr_def_11),sK57)) != sK8(cons(sK57,iPr_def_11),sK57) ) ),
inference(superposition,[status(thm)],[c_79279,c_225]) ).
tcf(c_79453,plain,
! [X0: $i] :
( ( sK8(cons(sK57,iPr_def_11),sK57) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_11),sK57))
| ( sK8(cons(sK57,iPr_def_11),sK57) != app(nil,X0) ) ),
inference(superposition,[status(thm)],[c_79279,c_226]) ).
tcf(c_79454,plain,
! [X0: $i] :
( frontsegP(sK8(cons(sK57,iPr_def_11),sK57),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(cons(sK57,iPr_def_11),sK57)) ),
inference(superposition,[status(thm)],[c_79279,c_176]) ).
tcf(c_79456,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(cons(sK57,iPr_def_11),sK57),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_11),sK57))
| ~ segmentP(sK8(cons(sK57,iPr_def_11),sK57),X0) ),
inference(superposition,[status(thm)],[c_79279,c_193]) ).
tcf(c_79459,plain,
( frontsegP(sK8(cons(sK57,iPr_def_11),sK57),nil)
| ~ ssList(sK8(cons(sK57,iPr_def_11),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79446,c_141]) ).
tcf(c_79462,plain,
( rearsegP(sK8(cons(sK57,iPr_def_11),sK57),sK8(cons(sK57,iPr_def_11),sK57))
| ~ ssList(sK8(cons(sK57,iPr_def_11),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79447,c_141]) ).
tcf(c_79465,plain,
! [X0: $i] :
( frontsegP(sK8(cons(sK57,iPr_def_11),sK57),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK8(cons(sK57,iPr_def_11),sK57)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79454,c_141]) ).
tcf(c_79470,plain,
! [X0: $i] :
( ( sK8(cons(sK57,iPr_def_11),sK57) = X0 )
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_11),sK57))
| ( sK8(cons(sK57,iPr_def_11),sK57) != app(nil,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79453,c_141]) ).
tcf(c_79475,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_11),sK57))
| ( app(X0,sK8(cons(sK57,iPr_def_11),sK57)) != sK8(cons(sK57,iPr_def_11),sK57) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79449,c_141]) ).
tcf(c_79480,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK8(cons(sK57,iPr_def_11),sK57),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_11),sK57))
| ~ segmentP(sK8(cons(sK57,iPr_def_11),sK57),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79456,c_141]) ).
tcf(c_79486,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,iPr_def_11),sK57),X0),sK8(cons(sK57,iPr_def_11),sK57))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_11),sK57))
| ~ ssList(app(sK8(cons(sK57,iPr_def_11),sK57),X0)) ),
inference(light_normalisation,[status(thm)],[c_79440,c_79279]) ).
tcf(c_79487,plain,
! [X0: $i] :
( segmentP(app(sK8(cons(sK57,iPr_def_11),sK57),X0),sK8(cons(sK57,iPr_def_11),sK57))
| ~ ssList(X0)
| ~ ssList(sK8(cons(sK57,iPr_def_11),sK57))
| ~ ssList(app(sK8(cons(sK57,iPr_def_11),sK57),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79486,c_141]) ).
tcf(c_79521,plain,
( ssItem(hd(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil )
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20007,c_219]) ).
tcf(c_79522,plain,
( ssItem(hd(tl(iPr_def_12)))
| ( tl(iPr_def_12) = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79521,c_19014]) ).
tcf(c_79529,plain,
! [X0: $i,X1: $i] :
( ( tl(iPr_def_12) = nil )
| ( cons(hd(tl(iPr_def_12)),app(X1,X0)) = app(cons(hd(tl(iPr_def_12)),X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79522,c_154]) ).
tcf(c_79530,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = nil )
| ( app(cons(hd(tl(iPr_def_12)),nil),X0) = cons(hd(tl(iPr_def_12)),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79522,c_227]) ).
tcf(c_79531,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = nil )
| ( tl(cons(hd(tl(iPr_def_12)),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79522,c_152]) ).
tcf(c_79532,plain,
! [X0: $i] :
( ( tl(iPr_def_12) = nil )
| ( hd(cons(hd(tl(iPr_def_12)),X0)) = hd(tl(iPr_def_12)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79522,c_150]) ).
tcf(c_79565,plain,
! [X0: $i,X1: $i] :
( ( app(sK8(X0,X1),sK11(sK8(X0,X1),sK8(X0,X1))) = sK8(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_17782]) ).
tcf(c_79566,plain,
! [X0: $i,X1: $i] :
( ( app(sK9(X0,X1),sK11(sK9(X0,X1),sK9(X0,X1))) = sK9(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_17782]) ).
tcf(c_79567,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),sK11(app(X0,X1),app(X0,X1))) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_17782]) ).
tcf(c_79568,plain,
! [X0: $i,X1: $i] :
( ( app(sK11(X0,X1),sK11(sK11(X0,X1),sK11(X0,X1))) = sK11(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_17782]) ).
tcf(c_79569,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(X0,X1),sK11(sK12(X0,X1),sK12(X0,X1))) = sK12(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_17782]) ).
tcf(c_79570,plain,
! [X0: $i,X1: $i] :
( ( app(sK13(X0,X1),sK11(sK13(X0,X1),sK13(X0,X1))) = sK13(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_17782]) ).
tcf(c_79571,plain,
! [X0: $i,X1: $i] :
( ( app(sK14(X0,X1),sK11(sK14(X0,X1),sK14(X0,X1))) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_17782]) ).
tcf(c_79581,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK34(X0),sK11(sK34(X0),sK34(X0))) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_17782]) ).
tcf(c_79582,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK33(X0),sK11(sK33(X0),sK33(X0))) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_17782]) ).
tcf(c_79583,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK32(X0),sK11(sK32(X0),sK32(X0))) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_17782]) ).
tcf(c_79584,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK39(X0),sK11(sK39(X0),sK39(X0))) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_17782]) ).
tcf(c_79585,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK38(X0),sK11(sK38(X0),sK38(X0))) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_17782]) ).
tcf(c_79586,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK37(X0),sK11(sK37(X0),sK37(X0))) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_17782]) ).
tcf(c_79587,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK44(X0),sK11(sK44(X0),sK44(X0))) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_17782]) ).
tcf(c_79588,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK43(X0),sK11(sK43(X0),sK43(X0))) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_17782]) ).
tcf(c_79589,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK42(X0),sK11(sK42(X0),sK42(X0))) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_17782]) ).
tcf(c_79590,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK48(X0),sK11(sK48(X0),sK48(X0))) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_17782]) ).
tcf(c_79591,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK47(X0),sK11(sK47(X0),sK47(X0))) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_17782]) ).
tcf(c_79592,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X0,X1),sK11(cons(X0,X1),cons(X0,X1))) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_17782]) ).
tcf(c_79594,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK49(X0),sK11(sK49(X0),sK49(X0))) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_17782]) ).
tcf(c_79595,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(tl(X0),sK11(tl(X0),tl(X0))) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_17782]) ).
tcf(c_79596,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK52(X0),sK11(sK52(X0),sK52(X0))) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_17782]) ).
tcf(c_79606,plain,
( ( nil = sK59 )
| ( app(tl(sK59),sK11(tl(sK59),tl(sK59))) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_17782]) ).
tcf(c_79607,plain,
( ( nil = sK58 )
| ( app(tl(sK58),sK11(tl(sK58),tl(sK58))) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_17782]) ).
tcf(c_79608,plain,
( ( nil = sK56 )
| ( app(tl(sK56),sK11(tl(sK56),tl(sK56))) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_17782]) ).
tcf(c_79613,plain,
app(cons(sK57,app(sK59,sK59)),sK11(cons(sK57,app(sK59,sK59)),cons(sK57,app(sK59,sK59)))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_38541,c_17782]) ).
tcf(c_79614,plain,
app(cons(sK57,app(sK58,sK59)),sK11(cons(sK57,app(sK58,sK59)),cons(sK57,app(sK58,sK59)))) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_42487,c_17782]) ).
tcf(c_79615,plain,
app(cons(sK57,app(sK56,sK59)),sK11(cons(sK57,app(sK56,sK59)),cons(sK57,app(sK56,sK59)))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_45773,c_17782]) ).
tcf(c_79616,plain,
app(cons(sK57,app(sK59,sK58)),sK11(cons(sK57,app(sK59,sK58)),cons(sK57,app(sK59,sK58)))) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_41763,c_17782]) ).
tcf(c_79617,plain,
app(cons(sK57,app(sK58,sK58)),sK11(cons(sK57,app(sK58,sK58)),cons(sK57,app(sK58,sK58)))) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_43212,c_17782]) ).
tcf(c_79618,plain,
app(cons(sK57,app(sK56,sK58)),sK11(cons(sK57,app(sK56,sK58)),cons(sK57,app(sK56,sK58)))) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45770,c_17782]) ).
tcf(c_79619,plain,
app(cons(sK57,app(sK59,sK56)),sK11(cons(sK57,app(sK59,sK56)),cons(sK57,app(sK59,sK56)))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_45369,c_17782]) ).
tcf(c_79620,plain,
app(cons(sK57,app(sK58,sK56)),sK11(cons(sK57,app(sK58,sK56)),cons(sK57,app(sK58,sK56)))) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_46410,c_17782]) ).
tcf(c_79621,plain,
app(cons(sK57,app(sK56,sK56)),sK11(cons(sK57,app(sK56,sK56)),cons(sK57,app(sK56,sK56)))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_46972,c_17782]) ).
tcf(c_79622,plain,
( ( app(app(sK59,app(sK59,sK59)),sK11(app(sK59,app(sK59,sK59)),app(sK59,app(sK59,sK59)))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_17782]) ).
tcf(c_79623,plain,
( ( app(app(sK59,app(sK58,sK59)),sK11(app(sK59,app(sK58,sK59)),app(sK59,app(sK58,sK59)))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_17782]) ).
tcf(c_79624,plain,
( ( app(app(sK59,app(sK56,sK59)),sK11(app(sK59,app(sK56,sK59)),app(sK59,app(sK56,sK59)))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_17782]) ).
tcf(c_79625,plain,
( ( app(app(sK58,app(sK59,sK59)),sK11(app(sK58,app(sK59,sK59)),app(sK58,app(sK59,sK59)))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_17782]) ).
tcf(c_79626,plain,
( ( app(app(sK58,app(sK58,sK59)),sK11(app(sK58,app(sK58,sK59)),app(sK58,app(sK58,sK59)))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_17782]) ).
tcf(c_79627,plain,
( ( app(app(sK58,app(sK56,sK59)),sK11(app(sK58,app(sK56,sK59)),app(sK58,app(sK56,sK59)))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_17782]) ).
tcf(c_79628,plain,
( ( app(app(sK56,app(sK59,sK59)),sK11(app(sK56,app(sK59,sK59)),app(sK56,app(sK59,sK59)))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_17782]) ).
tcf(c_79629,plain,
( ( app(app(sK56,app(sK58,sK59)),sK11(app(sK56,app(sK58,sK59)),app(sK56,app(sK58,sK59)))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_17782]) ).
tcf(c_79630,plain,
( ( app(app(sK56,app(sK56,sK59)),sK11(app(sK56,app(sK56,sK59)),app(sK56,app(sK56,sK59)))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_17782]) ).
tcf(c_79631,plain,
( ( tl(iPr_def_12) = nil )
| ( app(tl(tl(iPr_def_12)),sK11(tl(tl(iPr_def_12)),tl(tl(iPr_def_12)))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78417,c_17782]) ).
tcf(c_79632,plain,
( ( app(app(sK59,app(sK59,sK58)),sK11(app(sK59,app(sK59,sK58)),app(sK59,app(sK59,sK58)))) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_17782]) ).
tcf(c_79633,plain,
( ( app(app(sK59,app(sK58,sK58)),sK11(app(sK59,app(sK58,sK58)),app(sK59,app(sK58,sK58)))) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_17782]) ).
tcf(c_79634,plain,
( ( app(app(sK59,app(sK56,sK58)),sK11(app(sK59,app(sK56,sK58)),app(sK59,app(sK56,sK58)))) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_17782]) ).
tcf(c_79853,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,cons(sK57,iPr_def_11)) = nil )
| ( cons(sK60,cons(sK57,iPr_def_11)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,cons(sK57,iPr_def_11)))
| ( hd(X0) != sK60 )
| ( tl(cons(sK60,cons(sK57,iPr_def_11))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_72631,c_223]) ).
tcf(c_79854,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK60,cons(sK57,iPr_def_11))))
| ( cons(sK60,cons(sK57,iPr_def_11)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(cons(sK60,cons(sK57,iPr_def_11)))
| ~ ssList(cons(sK60,cons(sK57,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_72631,c_212]) ).
tcf(c_79855,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK60,cons(sK57,iPr_def_11))))
| ( cons(sK60,cons(sK57,iPr_def_11)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(cons(sK60,cons(sK57,iPr_def_11)))
| ~ ssList(cons(sK60,cons(sK57,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_72631,c_206]) ).
tcf(c_79868,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,cons(sK57,iPr_def_11)) = nil )
| ( cons(sK60,cons(sK57,iPr_def_11)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK60,cons(sK57,iPr_def_11)))
| ( hd(X0) != sK60 )
| ( cons(sK57,iPr_def_11) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_79853,c_72632]) ).
tcf(c_79880,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,cons(sK57,iPr_def_11)) = nil )
| ( cons(sK7,cons(sK57,iPr_def_11)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,cons(sK57,iPr_def_11)))
| ( hd(X0) != sK7 )
| ( tl(cons(sK7,cons(sK57,iPr_def_11))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_72637,c_223]) ).
tcf(c_79881,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK7,cons(sK57,iPr_def_11))))
| ( cons(sK7,cons(sK57,iPr_def_11)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK7)
| ~ strictorderedP(cons(sK7,cons(sK57,iPr_def_11)))
| ~ ssList(cons(sK7,cons(sK57,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_72637,c_212]) ).
tcf(c_79882,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK7,cons(sK57,iPr_def_11))))
| ( cons(sK7,cons(sK57,iPr_def_11)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK7)
| ~ totalorderedP(cons(sK7,cons(sK57,iPr_def_11)))
| ~ ssList(cons(sK7,cons(sK57,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_72637,c_206]) ).
tcf(c_79895,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7,cons(sK57,iPr_def_11)) = nil )
| ( cons(sK7,cons(sK57,iPr_def_11)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK7,cons(sK57,iPr_def_11)))
| ( hd(X0) != sK7 )
| ( cons(sK57,iPr_def_11) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_79880,c_72634]) ).
tcf(c_79907,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,cons(sK57,iPr_def_11)) = nil )
| ( cons(sK6,cons(sK57,iPr_def_11)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,cons(sK57,iPr_def_11)))
| ( hd(X0) != sK6 )
| ( tl(cons(sK6,cons(sK57,iPr_def_11))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_72638,c_223]) ).
tcf(c_79908,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK6,cons(sK57,iPr_def_11))))
| ( cons(sK6,cons(sK57,iPr_def_11)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK6)
| ~ strictorderedP(cons(sK6,cons(sK57,iPr_def_11)))
| ~ ssList(cons(sK6,cons(sK57,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_72638,c_212]) ).
tcf(c_79909,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK6,cons(sK57,iPr_def_11))))
| ( cons(sK6,cons(sK57,iPr_def_11)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK6)
| ~ totalorderedP(cons(sK6,cons(sK57,iPr_def_11)))
| ~ ssList(cons(sK6,cons(sK57,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_72638,c_206]) ).
tcf(c_79922,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK6,cons(sK57,iPr_def_11)) = nil )
| ( cons(sK6,cons(sK57,iPr_def_11)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK6,cons(sK57,iPr_def_11)))
| ( hd(X0) != sK6 )
| ( cons(sK57,iPr_def_11) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_79907,c_72635]) ).
tcf(c_79966,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,cons(sK57,iPr_def_11)) = nil )
| ( cons(sK57,cons(sK57,iPr_def_11)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,cons(sK57,iPr_def_11)))
| ( hd(X0) != sK57 )
| ( tl(cons(sK57,cons(sK57,iPr_def_11))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_72656,c_223]) ).
tcf(c_79967,plain,
! [X0: $i] :
( strictorderedP(cons(X0,cons(sK57,cons(sK57,iPr_def_11))))
| ( cons(sK57,cons(sK57,iPr_def_11)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK57)
| ~ strictorderedP(cons(sK57,cons(sK57,iPr_def_11)))
| ~ ssList(cons(sK57,cons(sK57,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_72656,c_212]) ).
tcf(c_79968,plain,
! [X0: $i] :
( totalorderedP(cons(X0,cons(sK57,cons(sK57,iPr_def_11))))
| ( cons(sK57,cons(sK57,iPr_def_11)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK57)
| ~ totalorderedP(cons(sK57,cons(sK57,iPr_def_11)))
| ~ ssList(cons(sK57,cons(sK57,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_72656,c_206]) ).
tcf(c_79981,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK57,cons(sK57,iPr_def_11)) = nil )
| ( cons(sK57,cons(sK57,iPr_def_11)) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK57,cons(sK57,iPr_def_11)))
| ( hd(X0) != sK57 )
| ( cons(sK57,iPr_def_11) != tl(X0) ) ),
inference(light_normalisation,[status(thm)],[c_79966,c_72655]) ).
tcf(c_79995,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK8(X0,X1)),sK58) = app(sK58,app(sK8(X0,X1),sK58)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_74272]) ).
tcf(c_79996,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK9(X0,X1)),sK58) = app(sK58,app(sK9(X0,X1),sK58)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_74272]) ).
tcf(c_79997,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,app(X0,X1)),sK58) = app(sK58,app(app(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_74272]) ).
tcf(c_79998,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK11(X0,X1)),sK58) = app(sK58,app(sK11(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_74272]) ).
tcf(c_79999,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK12(X0,X1)),sK58) = app(sK58,app(sK12(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_74272]) ).
tcf(c_80000,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK13(X0,X1)),sK58) = app(sK58,app(sK13(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_74272]) ).
tcf(c_80001,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,sK14(X0,X1)),sK58) = app(sK58,app(sK14(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_74272]) ).
tcf(c_80011,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK58,sK34(X0)),sK58) = app(sK58,app(sK34(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_74272]) ).
tcf(c_80012,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK58,sK33(X0)),sK58) = app(sK58,app(sK33(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_74272]) ).
tcf(c_80013,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK58,sK32(X0)),sK58) = app(sK58,app(sK32(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_74272]) ).
tcf(c_80014,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK58,sK39(X0)),sK58) = app(sK58,app(sK39(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_74272]) ).
tcf(c_80015,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK58,sK38(X0)),sK58) = app(sK58,app(sK38(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_74272]) ).
tcf(c_80016,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK58,sK37(X0)),sK58) = app(sK58,app(sK37(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_74272]) ).
tcf(c_80017,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK58,sK44(X0)),sK58) = app(sK58,app(sK44(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_74272]) ).
tcf(c_80018,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK58,sK43(X0)),sK58) = app(sK58,app(sK43(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_74272]) ).
tcf(c_80019,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK58,sK42(X0)),sK58) = app(sK58,app(sK42(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_74272]) ).
tcf(c_80020,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK58,sK48(X0)),sK58) = app(sK58,app(sK48(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_74272]) ).
tcf(c_80021,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK58,sK47(X0)),sK58) = app(sK58,app(sK47(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_74272]) ).
tcf(c_80022,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK58,cons(X0,X1)),sK58) = app(sK58,app(cons(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_74272]) ).
tcf(c_80023,plain,
app(app(sK58,nil),sK58) = app(sK58,app(nil,sK58)),
inference(superposition,[status(thm)],[c_141,c_74272]) ).
tcf(c_80024,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK58,sK49(X0)),sK58) = app(sK58,app(sK49(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_74272]) ).
tcf(c_80025,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK58,tl(X0)),sK58) = app(sK58,app(tl(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_74272]) ).
tcf(c_80026,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK58,sK52(X0)),sK58) = app(sK58,app(sK52(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_74272]) ).
tcf(c_80027,plain,
app(app(sK58,sK59),sK58) = app(sK58,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_8916,c_74272]) ).
tcf(c_80028,plain,
app(app(sK58,sK58),sK58) = app(sK58,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_8915,c_74272]) ).
tcf(c_80029,plain,
app(app(sK58,sK56),sK58) = app(sK58,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_8907,c_74272]) ).
tcf(c_80030,plain,
app(app(sK58,iPr_def_12),sK58) = app(sK58,app(iPr_def_12,sK58)),
inference(superposition,[status(thm)],[c_12842,c_74272]) ).
tcf(c_80031,plain,
app(app(sK58,iPr_def_11),sK58) = app(sK58,app(iPr_def_11,sK58)),
inference(superposition,[status(thm)],[c_12706,c_74272]) ).
tcf(c_80032,plain,
app(app(sK58,iPr_def_10),sK58) = app(sK58,app(iPr_def_10,sK58)),
inference(superposition,[status(thm)],[c_18245,c_74272]) ).
tcf(c_80033,plain,
app(app(sK58,cons(sK57,sK59)),sK58) = app(sK58,app(cons(sK57,sK59),sK58)),
inference(superposition,[status(thm)],[c_38491,c_74272]) ).
tcf(c_80034,plain,
app(app(sK58,cons(sK57,sK58)),sK58) = app(sK58,app(cons(sK57,sK58),sK58)),
inference(superposition,[status(thm)],[c_42438,c_74272]) ).
tcf(c_80035,plain,
app(app(sK58,cons(sK57,sK56)),sK58) = app(sK58,app(cons(sK57,sK56),sK58)),
inference(superposition,[status(thm)],[c_45721,c_74272]) ).
tcf(c_80036,plain,
( ( nil = sK59 )
| ( app(app(sK58,tl(sK59)),sK58) = app(sK58,app(tl(sK59),sK58)) ) ),
inference(superposition,[status(thm)],[c_15329,c_74272]) ).
tcf(c_80037,plain,
( ( nil = sK58 )
| ( app(app(sK58,tl(sK58)),sK58) = app(sK58,app(tl(sK58),sK58)) ) ),
inference(superposition,[status(thm)],[c_15365,c_74272]) ).
tcf(c_80038,plain,
( ( nil = sK56 )
| ( app(app(sK58,tl(sK56)),sK58) = app(sK58,app(tl(sK56),sK58)) ) ),
inference(superposition,[status(thm)],[c_15756,c_74272]) ).
tcf(c_80039,plain,
app(app(sK58,tl(iPr_def_12)),sK58) = app(sK58,app(tl(iPr_def_12),sK58)),
inference(superposition,[status(thm)],[c_19014,c_74272]) ).
tcf(c_80040,plain,
app(app(sK58,cons(sK57,iPr_def_12)),sK58) = app(sK58,app(cons(sK57,iPr_def_12),sK58)),
inference(superposition,[status(thm)],[c_69986,c_74272]) ).
tcf(c_80041,plain,
app(app(sK58,cons(sK57,iPr_def_11)),sK58) = app(sK58,app(cons(sK57,iPr_def_11),sK58)),
inference(superposition,[status(thm)],[c_72108,c_74272]) ).
tcf(c_80042,plain,
app(app(sK58,cons(sK57,iPr_def_10)),sK58) = app(sK58,app(cons(sK57,iPr_def_10),sK58)),
inference(superposition,[status(thm)],[c_59801,c_74272]) ).
tcf(c_80043,plain,
app(app(sK58,cons(sK57,app(sK59,sK59))),sK58) = app(sK58,app(cons(sK57,app(sK59,sK59)),sK58)),
inference(superposition,[status(thm)],[c_38541,c_74272]) ).
tcf(c_80044,plain,
app(app(sK58,cons(sK57,app(sK58,sK59))),sK58) = app(sK58,app(cons(sK57,app(sK58,sK59)),sK58)),
inference(superposition,[status(thm)],[c_42487,c_74272]) ).
tcf(c_80045,plain,
app(app(sK58,cons(sK57,app(sK56,sK59))),sK58) = app(sK58,app(cons(sK57,app(sK56,sK59)),sK58)),
inference(superposition,[status(thm)],[c_45773,c_74272]) ).
tcf(c_80046,plain,
app(app(sK58,cons(sK57,app(sK59,sK58))),sK58) = app(sK58,app(cons(sK57,app(sK59,sK58)),sK58)),
inference(superposition,[status(thm)],[c_41763,c_74272]) ).
tcf(c_80047,plain,
app(app(sK58,cons(sK57,app(sK58,sK58))),sK58) = app(sK58,app(cons(sK57,app(sK58,sK58)),sK58)),
inference(superposition,[status(thm)],[c_43212,c_74272]) ).
tcf(c_80048,plain,
app(app(sK58,cons(sK57,app(sK56,sK58))),sK58) = app(sK58,app(cons(sK57,app(sK56,sK58)),sK58)),
inference(superposition,[status(thm)],[c_45770,c_74272]) ).
tcf(c_80049,plain,
app(app(sK58,cons(sK57,app(sK59,sK56))),sK58) = app(sK58,app(cons(sK57,app(sK59,sK56)),sK58)),
inference(superposition,[status(thm)],[c_45369,c_74272]) ).
tcf(c_80050,plain,
app(app(sK58,cons(sK57,app(sK58,sK56))),sK58) = app(sK58,app(cons(sK57,app(sK58,sK56)),sK58)),
inference(superposition,[status(thm)],[c_46410,c_74272]) ).
tcf(c_80051,plain,
app(app(sK58,cons(sK57,app(sK56,sK56))),sK58) = app(sK58,app(cons(sK57,app(sK56,sK56)),sK58)),
inference(superposition,[status(thm)],[c_46972,c_74272]) ).
tcf(c_80052,plain,
( ( app(app(sK58,app(sK59,app(sK59,sK59))),sK58) = app(sK58,app(app(sK59,app(sK59,sK59)),sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_74272]) ).
tcf(c_80053,plain,
( ( app(app(sK58,app(sK59,app(sK58,sK59))),sK58) = app(sK58,app(app(sK59,app(sK58,sK59)),sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_74272]) ).
tcf(c_80054,plain,
( ( app(app(sK58,app(sK59,app(sK56,sK59))),sK58) = app(sK58,app(app(sK59,app(sK56,sK59)),sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_74272]) ).
tcf(c_80055,plain,
( ( app(app(sK58,app(sK58,app(sK59,sK59))),sK58) = app(sK58,app(app(sK58,app(sK59,sK59)),sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_74272]) ).
tcf(c_80056,plain,
( ( app(app(sK58,app(sK58,app(sK58,sK59))),sK58) = app(sK58,app(app(sK58,app(sK58,sK59)),sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_74272]) ).
tcf(c_80057,plain,
( ( app(app(sK58,app(sK58,app(sK56,sK59))),sK58) = app(sK58,app(app(sK58,app(sK56,sK59)),sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_74272]) ).
tcf(c_80058,plain,
( ( app(app(sK58,app(sK56,app(sK59,sK59))),sK58) = app(sK58,app(app(sK56,app(sK59,sK59)),sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_74272]) ).
tcf(c_80059,plain,
( ( app(app(sK58,app(sK56,app(sK58,sK59))),sK58) = app(sK58,app(app(sK56,app(sK58,sK59)),sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_74272]) ).
tcf(c_80060,plain,
( ( app(app(sK58,app(sK56,app(sK56,sK59))),sK58) = app(sK58,app(app(sK56,app(sK56,sK59)),sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_74272]) ).
tcf(c_80061,plain,
( ( tl(iPr_def_12) = nil )
| ( app(app(sK58,tl(tl(iPr_def_12))),sK58) = app(sK58,app(tl(tl(iPr_def_12)),sK58)) ) ),
inference(superposition,[status(thm)],[c_78417,c_74272]) ).
tcf(c_80062,plain,
( ( app(app(sK58,app(sK59,app(sK59,sK58))),sK58) = app(sK58,app(app(sK59,app(sK59,sK58)),sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_74272]) ).
tcf(c_80063,plain,
( ( app(app(sK58,app(sK59,app(sK58,sK58))),sK58) = app(sK58,app(app(sK59,app(sK58,sK58)),sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_74272]) ).
tcf(c_80064,plain,
( ( app(app(sK58,app(sK59,app(sK56,sK58))),sK58) = app(sK58,app(app(sK59,app(sK56,sK58)),sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_74272]) ).
tcf(c_80065,plain,
app(sK58,cons(sK57,sK58)) = app(iPr_def_12,sK58),
inference(light_normalisation,[status(thm)],[c_80031,c_8904,c_41528]) ).
tcf(c_80067,plain,
app(app(sK58,cons(sK57,iPr_def_10)),sK58) = app(sK58,cons(sK57,app(iPr_def_10,sK58))),
inference(light_normalisation,[status(thm)],[c_80042,c_41518]) ).
tcf(c_80068,plain,
app(app(sK58,cons(sK57,iPr_def_11)),sK58) = app(sK58,cons(sK57,cons(sK57,sK58))),
inference(light_normalisation,[status(thm)],[c_80041,c_41517,c_41528]) ).
tcf(c_80069,plain,
app(app(sK58,cons(sK57,iPr_def_12)),sK58) = app(sK58,cons(sK57,app(iPr_def_12,sK58))),
inference(light_normalisation,[status(thm)],[c_80040,c_41516]) ).
tcf(c_80070,plain,
app(app(sK58,cons(sK57,sK56)),sK58) = app(sK58,cons(sK57,app(sK56,sK58))),
inference(light_normalisation,[status(thm)],[c_80035,c_41515]) ).
tcf(c_80071,plain,
app(app(sK58,cons(sK57,sK58)),sK58) = app(sK58,cons(sK57,app(sK58,sK58))),
inference(light_normalisation,[status(thm)],[c_80034,c_41514]) ).
tcf(c_80072,plain,
app(sK58,cons(sK57,app(sK59,sK58))) = app(iPr_def_10,sK58),
inference(light_normalisation,[status(thm)],[c_80033,c_41513,c_66808]) ).
tcf(c_80346,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK59,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(app(app(sK58,sK59),sK58),X0)) ),
inference(superposition,[status(thm)],[c_80027,c_67]) ).
tcf(c_80349,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK58,sK59),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK59))
| ~ memberP(app(sK58,app(sK59,sK58)),X0) ),
inference(superposition,[status(thm)],[c_80027,c_167]) ).
tcf(c_80350,plain,
( ( app(sK58,sK59) = nil )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_80027,c_231]) ).
tcf(c_80351,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_80027,c_230]) ).
tcf(c_80352,plain,
( frontsegP(app(sK58,app(sK59,sK58)),app(sK58,sK59))
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80027,c_382]) ).
tcf(c_80353,plain,
( rearsegP(app(sK58,app(sK59,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80027,c_379]) ).
tcf(c_80354,plain,
( ssList(app(sK58,app(sK59,sK58)))
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80027,c_153]) ).
tcf(c_80355,plain,
! [X0: $i] :
( ( app(sK58,sK59) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK58)) != app(X0,sK58) ) ),
inference(superposition,[status(thm)],[c_80027,c_225]) ).
tcf(c_80356,plain,
( segmentP(app(sK58,app(sK59,sK58)),sK59)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(app(sK58,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_80027,c_67]) ).
tcf(c_80357,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ( app(app(sK58,sK59),X0) != app(sK58,app(sK59,sK58)) ) ),
inference(superposition,[status(thm)],[c_80027,c_226]) ).
tcf(c_80358,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ~ frontsegP(app(sK58,sK59),X0) ),
inference(superposition,[status(thm)],[c_80027,c_176]) ).
tcf(c_80359,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK59))
| ~ memberP(app(sK58,sK59),X0) ),
inference(superposition,[status(thm)],[c_80027,c_165]) ).
tcf(c_80360,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK59,sK58)),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80027,c_193]) ).
tcf(c_80361,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80027,c_186]) ).
tcf(c_80362,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80027,c_166]) ).
tcf(c_80363,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK59,sK58)),X0)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_80027,c_193]) ).
tcf(c_80364,plain,
( ( app(sK58,sK59) = iPr_def_11 )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK58)) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_80027,c_42471]) ).
tcf(c_80365,plain,
( ( app(sK58,sK59) = nil )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_80027,c_25207]) ).
tcf(c_80366,plain,
( ssList(app(sK58,app(sK59,sK58)))
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80354,c_8915]) ).
tcf(c_80369,plain,
( rearsegP(app(sK58,app(sK59,sK58)),sK58)
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80353,c_8915]) ).
tcf(c_80372,plain,
( frontsegP(app(sK58,app(sK59,sK58)),app(sK58,sK59))
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80352,c_8915]) ).
tcf(c_80378,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80363,c_8916,c_8915]) ).
tcf(c_80382,plain,
( segmentP(app(sK58,app(sK59,sK58)),sK59)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(sK58,app(sK59,sK58))) ),
inference(light_normalisation,[status(thm)],[c_80356,c_80027]) ).
tcf(c_80383,plain,
( segmentP(app(sK58,app(sK59,sK58)),sK59)
| ~ ssList(app(sK58,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80382,c_8916,c_8915]) ).
tcf(c_80386,plain,
( ( nil = sK58 )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80351,c_8915]) ).
tcf(c_80393,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK59,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80362,c_8915]) ).
tcf(c_80398,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80361,c_8915]) ).
tcf(c_80403,plain,
( ( app(sK58,sK59) = nil )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80350,c_8915]) ).
tcf(c_80407,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK59,sK58)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK59))
| ~ memberP(app(sK58,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80359,c_8915]) ).
tcf(c_80412,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ~ frontsegP(app(sK58,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80358,c_8915]) ).
tcf(c_80417,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK59,sK58)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK58,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80360,c_8915]) ).
tcf(c_80423,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK58,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK59))
| ~ memberP(app(sK58,app(sK59,sK58)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80349,c_8915]) ).
tcf(c_80429,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ( app(app(sK58,sK59),X0) != app(sK58,app(sK59,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80357,c_8915]) ).
tcf(c_80434,plain,
! [X0: $i] :
( ( app(sK58,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80355,c_8915]) ).
tcf(c_80439,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK59,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(app(sK58,app(sK59,sK58)),X0)) ),
inference(light_normalisation,[status(thm)],[c_80346,c_80027]) ).
tcf(c_80440,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK59,sK58)),X0),sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(app(sK58,app(sK59,sK58)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80439,c_8915]) ).
tcf(c_80492,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK58,app(sK59,sK58))) = app(X0,app(X1,app(sK58,app(sK59,sK58)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_228]) ).
tcf(c_80493,plain,
( ( app(app(sK58,app(sK58,app(sK59,sK58))),sK58) = app(sK58,app(app(sK58,app(sK59,sK58)),sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_74272]) ).
tcf(c_80494,plain,
( ( app(app(sK58,app(sK59,sK58)),sK11(app(sK58,app(sK59,sK58)),app(sK58,app(sK59,sK58)))) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_17782]) ).
tcf(c_80495,plain,
( ( app(app(sK59,app(sK58,app(sK59,sK58))),sK58) = app(sK59,app(app(sK58,app(sK59,sK58)),sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_74271]) ).
tcf(c_80496,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK59,sK58)),X0),sK58) = app(app(sK58,app(sK59,sK58)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_22630]) ).
tcf(c_80497,plain,
( ( cons(sK57,app(sK58,app(sK59,sK58))) = app(iPr_def_11,app(sK58,app(sK59,sK58))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_16606]) ).
tcf(c_80498,plain,
( ( app(app(sK56,app(sK58,app(sK59,sK58))),sK59) = app(sK56,app(app(sK58,app(sK59,sK58)),sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_63530]) ).
tcf(c_80499,plain,
( ( app(app(sK58,app(sK58,app(sK59,sK58))),sK59) = app(sK58,app(app(sK58,app(sK59,sK58)),sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_63529]) ).
tcf(c_80500,plain,
( ( app(app(sK59,app(sK58,app(sK59,sK58))),sK59) = app(sK59,app(app(sK58,app(sK59,sK58)),sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_63528]) ).
tcf(c_80501,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK59,sK58)),X0),sK59) = app(app(sK58,app(sK59,sK58)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_22629]) ).
tcf(c_80502,plain,
( ( hd(app(iPr_def_11,app(sK58,app(sK59,sK58)))) = sK57 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_19198]) ).
tcf(c_80503,plain,
( ( hd(cons(sK60,app(sK58,app(sK59,sK58)))) = sK60 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_18952]) ).
tcf(c_80504,plain,
( ( tl(cons(sK60,app(sK58,app(sK59,sK58)))) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_18951]) ).
tcf(c_80505,plain,
( ( cons(sK57,app(app(sK58,app(sK59,sK58)),sK56)) = app(cons(sK57,app(sK58,app(sK59,sK58))),sK56) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_37365]) ).
tcf(c_80506,plain,
( ( tl(cons(sK7,app(sK58,app(sK59,sK58)))) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_13978]) ).
tcf(c_80507,plain,
( ( tl(cons(sK6,app(sK58,app(sK59,sK58)))) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_13977]) ).
tcf(c_80508,plain,
( ( cons(sK57,app(app(sK58,app(sK59,sK58)),sK58)) = app(cons(sK57,app(sK58,app(sK59,sK58))),sK58) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_37364]) ).
tcf(c_80509,plain,
( ( hd(cons(sK7,app(sK58,app(sK59,sK58)))) = sK7 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_13802]) ).
tcf(c_80510,plain,
( ( hd(cons(sK6,app(sK58,app(sK59,sK58)))) = sK6 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_13801]) ).
tcf(c_80511,plain,
( ( cons(sK57,app(app(sK58,app(sK59,sK58)),sK59)) = app(cons(sK57,app(sK58,app(sK59,sK58))),sK59) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_37363]) ).
tcf(c_80512,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK58,app(sK59,sK58)))) = app(cons(sK57,X0),app(sK58,app(sK59,sK58))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_22147]) ).
tcf(c_80513,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK58,app(sK59,sK58))) = tl(app(sK56,app(sK58,app(sK59,sK58)))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_21660]) ).
tcf(c_80514,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK58,app(sK59,sK58))) = tl(app(sK58,app(sK58,app(sK59,sK58)))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_21659]) ).
tcf(c_80515,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK58,app(sK59,sK58))) = tl(app(sK59,app(sK58,app(sK59,sK58)))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_21658]) ).
tcf(c_80516,plain,
( duplicatefreeP(app(sK58,app(sK59,sK58)))
| ( app(app(sK42(app(sK58,app(sK59,sK58))),cons(sK40(app(sK58,app(sK59,sK58))),sK43(app(sK58,app(sK59,sK58))))),cons(sK41(app(sK58,app(sK59,sK58))),sK44(app(sK58,app(sK59,sK58))))) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_124]) ).
tcf(c_80517,plain,
( strictorderedP(app(sK58,app(sK59,sK58)))
| ( app(app(sK37(app(sK58,app(sK59,sK58))),cons(sK35(app(sK58,app(sK59,sK58))),sK38(app(sK58,app(sK59,sK58))))),cons(sK36(app(sK58,app(sK59,sK58))),sK39(app(sK58,app(sK59,sK58))))) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_116]) ).
tcf(c_80518,plain,
( totalorderedP(app(sK58,app(sK59,sK58)))
| ( app(app(sK32(app(sK58,app(sK59,sK58))),cons(sK30(app(sK58,app(sK59,sK58))),sK33(app(sK58,app(sK59,sK58))))),cons(sK31(app(sK58,app(sK59,sK58))),sK34(app(sK58,app(sK59,sK58))))) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_108]) ).
tcf(c_80519,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK58,app(sK59,sK58)))) = hd(sK56) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_19187]) ).
tcf(c_80520,plain,
! [X0: $i] :
( ( app(sK58,app(sK59,sK58)) = nil )
| ( app(tl(app(sK58,app(sK59,sK58))),X0) = tl(app(app(sK58,app(sK59,sK58)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_234]) ).
tcf(c_80521,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK58,app(sK59,sK58)))) = hd(sK58) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_19186]) ).
tcf(c_80522,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK58,app(sK59,sK58)))) = hd(sK59) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_19185]) ).
tcf(c_80523,plain,
( equalelemsP(app(sK58,app(sK59,sK58)))
| ( app(sK47(app(sK58,app(sK59,sK58))),cons(sK45(app(sK58,app(sK59,sK58))),cons(sK46(app(sK58,app(sK59,sK58))),sK48(app(sK58,app(sK59,sK58)))))) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_132]) ).
tcf(c_80524,plain,
! [X0: $i] :
( ( app(sK58,app(sK59,sK58)) = nil )
| ( hd(app(app(sK58,app(sK59,sK58)),X0)) = hd(app(sK58,app(sK59,sK58))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_233]) ).
tcf(c_80525,plain,
( ( app(sK58,app(sK59,sK58)) = nil )
| ( cons(hd(app(sK58,app(sK59,sK58))),tl(app(sK58,app(sK59,sK58)))) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_224]) ).
tcf(c_80526,plain,
( ( app(sK58,app(sK59,sK58)) = nil )
| ( cons(sK50(app(sK58,app(sK59,sK58))),sK49(app(sK58,app(sK59,sK58)))) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_147]) ).
tcf(c_80527,plain,
( ( tl(cons(sK57,app(sK58,app(sK59,sK58)))) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_13997]) ).
tcf(c_80528,plain,
( ( hd(cons(sK57,app(sK58,app(sK59,sK58)))) = sK57 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_13821]) ).
tcf(c_80529,plain,
( ( app(sK58,app(sK59,sK58)) = nil )
| ( tl(app(sK58,app(sK59,sK58))) = sK52(app(sK58,app(sK59,sK58))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_222]) ).
tcf(c_80530,plain,
( ( app(sK58,app(sK59,sK58)) = nil )
| ( hd(app(sK58,app(sK59,sK58))) = sK51(app(sK58,app(sK59,sK58))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_220]) ).
tcf(c_80531,plain,
( duplicatefreeP(app(sK58,app(sK59,sK58)))
| ( sK40(app(sK58,app(sK59,sK58))) = sK41(app(sK58,app(sK59,sK58))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_123]) ).
tcf(c_80532,plain,
( ( app(app(sK58,app(sK59,sK58)),nil) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_232]) ).
tcf(c_80533,plain,
( ( app(nil,app(sK58,app(sK59,sK58))) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_155]) ).
tcf(c_80714,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK58,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(app(app(sK58,sK58),sK58),X0)) ),
inference(superposition,[status(thm)],[c_80028,c_67]) ).
tcf(c_80717,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK58,sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ memberP(app(sK58,app(sK58,sK58)),X0) ),
inference(superposition,[status(thm)],[c_80028,c_167]) ).
tcf(c_80718,plain,
( ( app(sK58,sK58) = nil )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_80028,c_231]) ).
tcf(c_80719,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_80028,c_230]) ).
tcf(c_80720,plain,
( frontsegP(app(sK58,app(sK58,sK58)),app(sK58,sK58))
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80028,c_382]) ).
tcf(c_80721,plain,
( rearsegP(app(sK58,app(sK58,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80028,c_379]) ).
tcf(c_80722,plain,
( ssList(app(sK58,app(sK58,sK58)))
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80028,c_153]) ).
tcf(c_80723,plain,
! [X0: $i] :
( ( app(sK58,sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK58)) != app(X0,sK58) ) ),
inference(superposition,[status(thm)],[c_80028,c_225]) ).
tcf(c_80724,plain,
( segmentP(app(sK58,app(sK58,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(app(app(sK58,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_80028,c_67]) ).
tcf(c_80725,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ( app(app(sK58,sK58),X0) != app(sK58,app(sK58,sK58)) ) ),
inference(superposition,[status(thm)],[c_80028,c_226]) ).
tcf(c_80726,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ~ frontsegP(app(sK58,sK58),X0) ),
inference(superposition,[status(thm)],[c_80028,c_176]) ).
tcf(c_80727,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ memberP(app(sK58,sK58),X0) ),
inference(superposition,[status(thm)],[c_80028,c_165]) ).
tcf(c_80728,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK58,sK58)),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80028,c_193]) ).
tcf(c_80729,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80028,c_186]) ).
tcf(c_80730,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80028,c_166]) ).
tcf(c_80731,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_80028,c_193]) ).
tcf(c_80732,plain,
( ( app(sK58,sK58) = iPr_def_11 )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK58)) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_80028,c_42471]) ).
tcf(c_80733,plain,
( ( app(sK58,sK58) = nil )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_80028,c_25207]) ).
tcf(c_80734,plain,
( ssList(app(sK58,app(sK58,sK58)))
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80722,c_8915]) ).
tcf(c_80737,plain,
( rearsegP(app(sK58,app(sK58,sK58)),sK58)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80721,c_8915]) ).
tcf(c_80740,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80731,c_8915]) ).
tcf(c_80744,plain,
( segmentP(app(sK58,app(sK58,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(app(sK58,app(sK58,sK58))) ),
inference(light_normalisation,[status(thm)],[c_80724,c_80028]) ).
tcf(c_80745,plain,
( segmentP(app(sK58,app(sK58,sK58)),sK58)
| ~ ssList(app(sK58,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80744,c_8915]) ).
tcf(c_80748,plain,
( frontsegP(app(sK58,app(sK58,sK58)),app(sK58,sK58))
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80720,c_8915]) ).
tcf(c_80754,plain,
( ( nil = sK58 )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80719,c_8915]) ).
tcf(c_80761,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK58,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80730,c_8915]) ).
tcf(c_80766,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80729,c_8915]) ).
tcf(c_80771,plain,
( ( app(sK58,sK58) = nil )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80718,c_8915]) ).
tcf(c_80775,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK58,sK58)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ memberP(app(sK58,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80727,c_8915]) ).
tcf(c_80780,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ~ frontsegP(app(sK58,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80726,c_8915]) ).
tcf(c_80785,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK58,sK58)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK58,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80728,c_8915]) ).
tcf(c_80791,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK58,sK58),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK58))
| ~ memberP(app(sK58,app(sK58,sK58)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80717,c_8915]) ).
tcf(c_80797,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ( app(app(sK58,sK58),X0) != app(sK58,app(sK58,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80725,c_8915]) ).
tcf(c_80802,plain,
! [X0: $i] :
( ( app(sK58,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80723,c_8915]) ).
tcf(c_80807,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK58,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(app(sK58,app(sK58,sK58)),X0)) ),
inference(light_normalisation,[status(thm)],[c_80714,c_80028]) ).
tcf(c_80808,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK58,sK58)),X0),sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(app(sK58,app(sK58,sK58)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80807,c_8915]) ).
tcf(c_81313,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK58,app(sK58,sK58))) = app(X0,app(X1,app(sK58,app(sK58,sK58)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_228]) ).
tcf(c_81314,plain,
( ( app(app(sK58,app(sK58,app(sK58,sK58))),sK58) = app(sK58,app(app(sK58,app(sK58,sK58)),sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_74272]) ).
tcf(c_81315,plain,
( ( app(app(sK58,app(sK58,sK58)),sK11(app(sK58,app(sK58,sK58)),app(sK58,app(sK58,sK58)))) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_17782]) ).
tcf(c_81316,plain,
( ( app(app(sK59,app(sK58,app(sK58,sK58))),sK58) = app(sK59,app(app(sK58,app(sK58,sK58)),sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_74271]) ).
tcf(c_81317,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK58,sK58)),X0),sK58) = app(app(sK58,app(sK58,sK58)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_22630]) ).
tcf(c_81318,plain,
( ( cons(sK57,app(sK58,app(sK58,sK58))) = app(iPr_def_11,app(sK58,app(sK58,sK58))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_16606]) ).
tcf(c_81319,plain,
( ( app(app(sK56,app(sK58,app(sK58,sK58))),sK59) = app(sK56,app(app(sK58,app(sK58,sK58)),sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_63530]) ).
tcf(c_81320,plain,
( ( app(app(sK58,app(sK58,app(sK58,sK58))),sK59) = app(sK58,app(app(sK58,app(sK58,sK58)),sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_63529]) ).
tcf(c_81321,plain,
( ( app(app(sK59,app(sK58,app(sK58,sK58))),sK59) = app(sK59,app(app(sK58,app(sK58,sK58)),sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_63528]) ).
tcf(c_81322,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK58,sK58)),X0),sK59) = app(app(sK58,app(sK58,sK58)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_22629]) ).
tcf(c_81323,plain,
( ( hd(app(iPr_def_11,app(sK58,app(sK58,sK58)))) = sK57 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_19198]) ).
tcf(c_81324,plain,
( ( hd(cons(sK60,app(sK58,app(sK58,sK58)))) = sK60 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_18952]) ).
tcf(c_81325,plain,
( ( tl(cons(sK60,app(sK58,app(sK58,sK58)))) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_18951]) ).
tcf(c_81326,plain,
( ( cons(sK57,app(app(sK58,app(sK58,sK58)),sK56)) = app(cons(sK57,app(sK58,app(sK58,sK58))),sK56) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_37365]) ).
tcf(c_81327,plain,
( ( tl(cons(sK7,app(sK58,app(sK58,sK58)))) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_13978]) ).
tcf(c_81328,plain,
( ( tl(cons(sK6,app(sK58,app(sK58,sK58)))) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_13977]) ).
tcf(c_81329,plain,
( ( cons(sK57,app(app(sK58,app(sK58,sK58)),sK58)) = app(cons(sK57,app(sK58,app(sK58,sK58))),sK58) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_37364]) ).
tcf(c_81330,plain,
( ( hd(cons(sK7,app(sK58,app(sK58,sK58)))) = sK7 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_13802]) ).
tcf(c_81331,plain,
( ( hd(cons(sK6,app(sK58,app(sK58,sK58)))) = sK6 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_13801]) ).
tcf(c_81332,plain,
( ( cons(sK57,app(app(sK58,app(sK58,sK58)),sK59)) = app(cons(sK57,app(sK58,app(sK58,sK58))),sK59) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_37363]) ).
tcf(c_81333,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK58,app(sK58,sK58)))) = app(cons(sK57,X0),app(sK58,app(sK58,sK58))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_22147]) ).
tcf(c_81334,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK58,app(sK58,sK58))) = tl(app(sK56,app(sK58,app(sK58,sK58)))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_21660]) ).
tcf(c_81335,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK58,app(sK58,sK58))) = tl(app(sK58,app(sK58,app(sK58,sK58)))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_21659]) ).
tcf(c_81336,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK58,app(sK58,sK58))) = tl(app(sK59,app(sK58,app(sK58,sK58)))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_21658]) ).
tcf(c_81337,plain,
( duplicatefreeP(app(sK58,app(sK58,sK58)))
| ( app(app(sK42(app(sK58,app(sK58,sK58))),cons(sK40(app(sK58,app(sK58,sK58))),sK43(app(sK58,app(sK58,sK58))))),cons(sK41(app(sK58,app(sK58,sK58))),sK44(app(sK58,app(sK58,sK58))))) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_124]) ).
tcf(c_81338,plain,
( strictorderedP(app(sK58,app(sK58,sK58)))
| ( app(app(sK37(app(sK58,app(sK58,sK58))),cons(sK35(app(sK58,app(sK58,sK58))),sK38(app(sK58,app(sK58,sK58))))),cons(sK36(app(sK58,app(sK58,sK58))),sK39(app(sK58,app(sK58,sK58))))) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_116]) ).
tcf(c_81339,plain,
( totalorderedP(app(sK58,app(sK58,sK58)))
| ( app(app(sK32(app(sK58,app(sK58,sK58))),cons(sK30(app(sK58,app(sK58,sK58))),sK33(app(sK58,app(sK58,sK58))))),cons(sK31(app(sK58,app(sK58,sK58))),sK34(app(sK58,app(sK58,sK58))))) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_108]) ).
tcf(c_81340,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK58,app(sK58,sK58)))) = hd(sK56) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_19187]) ).
tcf(c_81341,plain,
! [X0: $i] :
( ( app(sK58,app(sK58,sK58)) = nil )
| ( app(tl(app(sK58,app(sK58,sK58))),X0) = tl(app(app(sK58,app(sK58,sK58)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_234]) ).
tcf(c_81342,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK58,app(sK58,sK58)))) = hd(sK58) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_19186]) ).
tcf(c_81343,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK58,app(sK58,sK58)))) = hd(sK59) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_19185]) ).
tcf(c_81344,plain,
( equalelemsP(app(sK58,app(sK58,sK58)))
| ( app(sK47(app(sK58,app(sK58,sK58))),cons(sK45(app(sK58,app(sK58,sK58))),cons(sK46(app(sK58,app(sK58,sK58))),sK48(app(sK58,app(sK58,sK58)))))) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_132]) ).
tcf(c_81345,plain,
! [X0: $i] :
( ( app(sK58,app(sK58,sK58)) = nil )
| ( hd(app(app(sK58,app(sK58,sK58)),X0)) = hd(app(sK58,app(sK58,sK58))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_233]) ).
tcf(c_81346,plain,
( ( app(sK58,app(sK58,sK58)) = nil )
| ( cons(hd(app(sK58,app(sK58,sK58))),tl(app(sK58,app(sK58,sK58)))) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_224]) ).
tcf(c_81347,plain,
( ( app(sK58,app(sK58,sK58)) = nil )
| ( cons(sK50(app(sK58,app(sK58,sK58))),sK49(app(sK58,app(sK58,sK58)))) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_147]) ).
tcf(c_81348,plain,
( ( tl(cons(sK57,app(sK58,app(sK58,sK58)))) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_13997]) ).
tcf(c_81349,plain,
( ( hd(cons(sK57,app(sK58,app(sK58,sK58)))) = sK57 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_13821]) ).
tcf(c_81350,plain,
( ( app(sK58,app(sK58,sK58)) = nil )
| ( tl(app(sK58,app(sK58,sK58))) = sK52(app(sK58,app(sK58,sK58))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_222]) ).
tcf(c_81351,plain,
( ( app(sK58,app(sK58,sK58)) = nil )
| ( hd(app(sK58,app(sK58,sK58))) = sK51(app(sK58,app(sK58,sK58))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_220]) ).
tcf(c_81352,plain,
( duplicatefreeP(app(sK58,app(sK58,sK58)))
| ( sK40(app(sK58,app(sK58,sK58))) = sK41(app(sK58,app(sK58,sK58))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_123]) ).
tcf(c_81353,plain,
( ( app(app(sK58,app(sK58,sK58)),nil) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_232]) ).
tcf(c_81354,plain,
( ( app(nil,app(sK58,app(sK58,sK58))) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_155]) ).
tcf(c_81535,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK56,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(app(app(sK58,sK56),sK58),X0)) ),
inference(superposition,[status(thm)],[c_80029,c_67]) ).
tcf(c_81538,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK58,sK56),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ memberP(app(sK58,app(sK56,sK58)),X0) ),
inference(superposition,[status(thm)],[c_80029,c_167]) ).
tcf(c_81539,plain,
( ( app(sK58,sK56) = nil )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_80029,c_231]) ).
tcf(c_81540,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_80029,c_230]) ).
tcf(c_81541,plain,
( frontsegP(app(sK58,app(sK56,sK58)),app(sK58,sK56))
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_80029,c_382]) ).
tcf(c_81542,plain,
( rearsegP(app(sK58,app(sK56,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_80029,c_379]) ).
tcf(c_81543,plain,
( ssList(app(sK58,app(sK56,sK58)))
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_80029,c_153]) ).
tcf(c_81544,plain,
! [X0: $i] :
( ( app(sK58,sK56) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK58)) != app(X0,sK58) ) ),
inference(superposition,[status(thm)],[c_80029,c_225]) ).
tcf(c_81545,plain,
( segmentP(app(sK58,app(sK56,sK58)),sK56)
| ~ ssList(sK56)
| ~ ssList(sK58)
| ~ ssList(app(app(sK58,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_80029,c_67]) ).
tcf(c_81546,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ( app(app(sK58,sK56),X0) != app(sK58,app(sK56,sK58)) ) ),
inference(superposition,[status(thm)],[c_80029,c_226]) ).
tcf(c_81547,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ~ frontsegP(app(sK58,sK56),X0) ),
inference(superposition,[status(thm)],[c_80029,c_176]) ).
tcf(c_81548,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ memberP(app(sK58,sK56),X0) ),
inference(superposition,[status(thm)],[c_80029,c_165]) ).
tcf(c_81549,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK56,sK58)),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_80029,c_193]) ).
tcf(c_81550,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_80029,c_186]) ).
tcf(c_81551,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_80029,c_166]) ).
tcf(c_81552,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK56,sK58)),X0)
| ~ ssList(sK56)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_80029,c_193]) ).
tcf(c_81553,plain,
( ( app(sK58,sK56) = iPr_def_11 )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK58)) != cons(sK57,sK58) ) ),
inference(superposition,[status(thm)],[c_80029,c_42471]) ).
tcf(c_81554,plain,
( ( app(sK58,sK56) = nil )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_80029,c_25207]) ).
tcf(c_81555,plain,
( ssList(app(sK58,app(sK56,sK58)))
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81543,c_8915]) ).
tcf(c_81558,plain,
( rearsegP(app(sK58,app(sK56,sK58)),sK58)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81542,c_8915]) ).
tcf(c_81561,plain,
( frontsegP(app(sK58,app(sK56,sK58)),app(sK58,sK56))
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81541,c_8915]) ).
tcf(c_81567,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81552,c_8907,c_8915]) ).
tcf(c_81571,plain,
( segmentP(app(sK58,app(sK56,sK58)),sK56)
| ~ ssList(sK56)
| ~ ssList(sK58)
| ~ ssList(app(sK58,app(sK56,sK58))) ),
inference(light_normalisation,[status(thm)],[c_81545,c_80029]) ).
tcf(c_81572,plain,
( segmentP(app(sK58,app(sK56,sK58)),sK56)
| ~ ssList(app(sK58,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81571,c_8907,c_8915]) ).
tcf(c_81575,plain,
( ( nil = sK58 )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81540,c_8915]) ).
tcf(c_81582,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK56,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81551,c_8915]) ).
tcf(c_81587,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81550,c_8915]) ).
tcf(c_81592,plain,
( ( app(sK58,sK56) = nil )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81539,c_8915]) ).
tcf(c_81596,plain,
! [X0: $i] :
( memberP(app(sK58,app(sK56,sK58)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ memberP(app(sK58,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81548,c_8915]) ).
tcf(c_81601,plain,
! [X0: $i] :
( frontsegP(app(sK58,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ~ frontsegP(app(sK58,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81547,c_8915]) ).
tcf(c_81606,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK58,app(sK56,sK58)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK58,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81549,c_8915]) ).
tcf(c_81612,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK58,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK58,sK56))
| ~ memberP(app(sK58,app(sK56,sK58)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81538,c_8915]) ).
tcf(c_81618,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ( app(app(sK58,sK56),X0) != app(sK58,app(sK56,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81546,c_8915]) ).
tcf(c_81623,plain,
! [X0: $i] :
( ( app(sK58,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81544,c_8915]) ).
tcf(c_81628,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK56,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(app(sK58,app(sK56,sK58)),X0)) ),
inference(light_normalisation,[status(thm)],[c_81535,c_80029]) ).
tcf(c_81629,plain,
! [X0: $i] :
( segmentP(app(app(sK58,app(sK56,sK58)),X0),sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(app(sK58,app(sK56,sK58)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81628,c_8915]) ).
tcf(c_81648,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK58,app(sK56,sK58))) = app(X0,app(X1,app(sK58,app(sK56,sK58)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_228]) ).
tcf(c_81649,plain,
( ( app(app(sK58,app(sK58,app(sK56,sK58))),sK58) = app(sK58,app(app(sK58,app(sK56,sK58)),sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_74272]) ).
tcf(c_81650,plain,
( ( app(app(sK58,app(sK56,sK58)),sK11(app(sK58,app(sK56,sK58)),app(sK58,app(sK56,sK58)))) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_17782]) ).
tcf(c_81651,plain,
( ( app(app(sK59,app(sK58,app(sK56,sK58))),sK58) = app(sK59,app(app(sK58,app(sK56,sK58)),sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_74271]) ).
tcf(c_81652,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK56,sK58)),X0),sK58) = app(app(sK58,app(sK56,sK58)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_22630]) ).
tcf(c_81653,plain,
( ( cons(sK57,app(sK58,app(sK56,sK58))) = app(iPr_def_11,app(sK58,app(sK56,sK58))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_16606]) ).
tcf(c_81654,plain,
( ( app(app(sK56,app(sK58,app(sK56,sK58))),sK59) = app(sK56,app(app(sK58,app(sK56,sK58)),sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_63530]) ).
tcf(c_81655,plain,
( ( app(app(sK58,app(sK58,app(sK56,sK58))),sK59) = app(sK58,app(app(sK58,app(sK56,sK58)),sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_63529]) ).
tcf(c_81656,plain,
( ( app(app(sK59,app(sK58,app(sK56,sK58))),sK59) = app(sK59,app(app(sK58,app(sK56,sK58)),sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_63528]) ).
tcf(c_81657,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK56,sK58)),X0),sK59) = app(app(sK58,app(sK56,sK58)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_22629]) ).
tcf(c_81658,plain,
( ( hd(app(iPr_def_11,app(sK58,app(sK56,sK58)))) = sK57 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_19198]) ).
tcf(c_81659,plain,
( ( hd(cons(sK60,app(sK58,app(sK56,sK58)))) = sK60 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_18952]) ).
tcf(c_81660,plain,
( ( tl(cons(sK60,app(sK58,app(sK56,sK58)))) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_18951]) ).
tcf(c_81661,plain,
( ( cons(sK57,app(app(sK58,app(sK56,sK58)),sK56)) = app(cons(sK57,app(sK58,app(sK56,sK58))),sK56) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_37365]) ).
tcf(c_81662,plain,
( ( tl(cons(sK7,app(sK58,app(sK56,sK58)))) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_13978]) ).
tcf(c_81663,plain,
( ( tl(cons(sK6,app(sK58,app(sK56,sK58)))) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_13977]) ).
tcf(c_81664,plain,
( ( cons(sK57,app(app(sK58,app(sK56,sK58)),sK58)) = app(cons(sK57,app(sK58,app(sK56,sK58))),sK58) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_37364]) ).
tcf(c_81665,plain,
( ( hd(cons(sK7,app(sK58,app(sK56,sK58)))) = sK7 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_13802]) ).
tcf(c_81666,plain,
( ( hd(cons(sK6,app(sK58,app(sK56,sK58)))) = sK6 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_13801]) ).
tcf(c_81667,plain,
( ( cons(sK57,app(app(sK58,app(sK56,sK58)),sK59)) = app(cons(sK57,app(sK58,app(sK56,sK58))),sK59) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_37363]) ).
tcf(c_81668,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,app(sK58,app(sK56,sK58)))) = app(cons(sK57,X0),app(sK58,app(sK56,sK58))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_22147]) ).
tcf(c_81669,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK58,app(sK56,sK58))) = tl(app(sK56,app(sK58,app(sK56,sK58)))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_21660]) ).
tcf(c_81670,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK58,app(sK56,sK58))) = tl(app(sK58,app(sK58,app(sK56,sK58)))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_21659]) ).
tcf(c_81671,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK58,app(sK56,sK58))) = tl(app(sK59,app(sK58,app(sK56,sK58)))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_21658]) ).
tcf(c_81672,plain,
( duplicatefreeP(app(sK58,app(sK56,sK58)))
| ( app(app(sK42(app(sK58,app(sK56,sK58))),cons(sK40(app(sK58,app(sK56,sK58))),sK43(app(sK58,app(sK56,sK58))))),cons(sK41(app(sK58,app(sK56,sK58))),sK44(app(sK58,app(sK56,sK58))))) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_124]) ).
tcf(c_81673,plain,
( strictorderedP(app(sK58,app(sK56,sK58)))
| ( app(app(sK37(app(sK58,app(sK56,sK58))),cons(sK35(app(sK58,app(sK56,sK58))),sK38(app(sK58,app(sK56,sK58))))),cons(sK36(app(sK58,app(sK56,sK58))),sK39(app(sK58,app(sK56,sK58))))) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_116]) ).
tcf(c_81674,plain,
( totalorderedP(app(sK58,app(sK56,sK58)))
| ( app(app(sK32(app(sK58,app(sK56,sK58))),cons(sK30(app(sK58,app(sK56,sK58))),sK33(app(sK58,app(sK56,sK58))))),cons(sK31(app(sK58,app(sK56,sK58))),sK34(app(sK58,app(sK56,sK58))))) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_108]) ).
tcf(c_81675,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK58,app(sK56,sK58)))) = hd(sK56) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_19187]) ).
tcf(c_81676,plain,
! [X0: $i] :
( ( app(sK58,app(sK56,sK58)) = nil )
| ( app(tl(app(sK58,app(sK56,sK58))),X0) = tl(app(app(sK58,app(sK56,sK58)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_234]) ).
tcf(c_81677,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK58,app(sK56,sK58)))) = hd(sK58) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_19186]) ).
tcf(c_81678,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK58,app(sK56,sK58)))) = hd(sK59) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_19185]) ).
tcf(c_81679,plain,
( equalelemsP(app(sK58,app(sK56,sK58)))
| ( app(sK47(app(sK58,app(sK56,sK58))),cons(sK45(app(sK58,app(sK56,sK58))),cons(sK46(app(sK58,app(sK56,sK58))),sK48(app(sK58,app(sK56,sK58)))))) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_132]) ).
tcf(c_81680,plain,
! [X0: $i] :
( ( app(sK58,app(sK56,sK58)) = nil )
| ( hd(app(app(sK58,app(sK56,sK58)),X0)) = hd(app(sK58,app(sK56,sK58))) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_233]) ).
tcf(c_81681,plain,
( ( app(sK58,app(sK56,sK58)) = nil )
| ( cons(hd(app(sK58,app(sK56,sK58))),tl(app(sK58,app(sK56,sK58)))) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_224]) ).
tcf(c_81682,plain,
( ( app(sK58,app(sK56,sK58)) = nil )
| ( cons(sK50(app(sK58,app(sK56,sK58))),sK49(app(sK58,app(sK56,sK58)))) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_147]) ).
tcf(c_81683,plain,
( ( tl(cons(sK57,app(sK58,app(sK56,sK58)))) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_13997]) ).
tcf(c_81684,plain,
( ( hd(cons(sK57,app(sK58,app(sK56,sK58)))) = sK57 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_13821]) ).
tcf(c_81685,plain,
( ( app(sK58,app(sK56,sK58)) = nil )
| ( tl(app(sK58,app(sK56,sK58))) = sK52(app(sK58,app(sK56,sK58))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_222]) ).
tcf(c_81686,plain,
( ( app(sK58,app(sK56,sK58)) = nil )
| ( hd(app(sK58,app(sK56,sK58))) = sK51(app(sK58,app(sK56,sK58))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_220]) ).
tcf(c_81687,plain,
( duplicatefreeP(app(sK58,app(sK56,sK58)))
| ( sK40(app(sK58,app(sK56,sK58))) = sK41(app(sK58,app(sK56,sK58))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_123]) ).
tcf(c_81688,plain,
( ( app(app(sK58,app(sK56,sK58)),nil) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_232]) ).
tcf(c_81689,plain,
( ( app(nil,app(sK58,app(sK56,sK58))) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_155]) ).
tcf(c_81889,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_80369,c_183]) ).
tcf(c_81890,plain,
( ( app(sK58,app(sK59,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK58)))
| ~ rearsegP(sK58,app(sK58,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_80369,c_184]) ).
tcf(c_81891,plain,
( ( app(sK12(app(sK58,app(sK59,sK58)),sK58),sK58) = app(sK58,app(sK59,sK58)) )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_80369,c_66]) ).
tcf(c_81893,plain,
( ( app(sK12(app(sK58,app(sK59,sK58)),sK58),sK58) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81891,c_8915]) ).
tcf(c_81897,plain,
( ( app(sK58,app(sK59,sK58)) = sK58 )
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK58)))
| ~ rearsegP(sK58,app(sK58,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81890,c_8915]) ).
tcf(c_81908,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( app(sK59,iPr_def_12) = nil )
| ( app(sK59,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,iPr_def_12))
| ( hd(X0) != hd(sK59) )
| ( tl(app(sK59,iPr_def_12)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_20461,c_223]) ).
tcf(c_81909,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK59,iPr_def_12)))
| ( nil = sK59 )
| ( app(sK59,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK59,iPr_def_12))
| ~ ssList(app(sK59,iPr_def_12))
| ~ lt(X0,hd(sK59)) ),
inference(superposition,[status(thm)],[c_20461,c_212]) ).
tcf(c_81910,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK59,iPr_def_12)))
| ( nil = sK59 )
| ( app(sK59,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK59,iPr_def_12))
| ~ ssList(app(sK59,iPr_def_12))
| ~ leq(X0,hd(sK59)) ),
inference(superposition,[status(thm)],[c_20461,c_206]) ).
tcf(c_81974,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK11(sK8(X0,X1),nil)) = sK8(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_17822]) ).
tcf(c_81975,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK11(sK9(X0,X1),nil)) = sK9(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_17822]) ).
tcf(c_81976,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK11(app(X0,X1),nil)) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_17822]) ).
tcf(c_81977,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK11(sK11(X0,X1),nil)) = sK11(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_17822]) ).
tcf(c_81978,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK11(sK12(X0,X1),nil)) = sK12(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_17822]) ).
tcf(c_81979,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK11(sK13(X0,X1),nil)) = sK13(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_17822]) ).
tcf(c_81980,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK11(sK14(X0,X1),nil)) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_17822]) ).
tcf(c_81990,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK11(sK34(X0),nil)) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_17822]) ).
tcf(c_81991,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK11(sK33(X0),nil)) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_17822]) ).
tcf(c_81992,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(nil,sK11(sK32(X0),nil)) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_17822]) ).
tcf(c_81993,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK11(sK39(X0),nil)) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_17822]) ).
tcf(c_81994,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK11(sK38(X0),nil)) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_17822]) ).
tcf(c_81995,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(nil,sK11(sK37(X0),nil)) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_17822]) ).
tcf(c_81996,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK11(sK44(X0),nil)) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_17822]) ).
tcf(c_81997,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK11(sK43(X0),nil)) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_17822]) ).
tcf(c_81998,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(nil,sK11(sK42(X0),nil)) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_17822]) ).
tcf(c_81999,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(nil,sK11(sK48(X0),nil)) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_17822]) ).
tcf(c_82000,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(nil,sK11(sK47(X0),nil)) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_17822]) ).
tcf(c_82001,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK11(cons(X0,X1),nil)) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_17822]) ).
tcf(c_82003,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK11(sK49(X0),nil)) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_17822]) ).
tcf(c_82004,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK11(tl(X0),nil)) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_17822]) ).
tcf(c_82005,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK11(sK52(X0),nil)) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_17822]) ).
tcf(c_82015,plain,
( ( nil = sK59 )
| ( app(nil,sK11(tl(sK59),nil)) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_17822]) ).
tcf(c_82016,plain,
( ( nil = sK58 )
| ( app(nil,sK11(tl(sK58),nil)) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_17822]) ).
tcf(c_82017,plain,
( ( nil = sK56 )
| ( app(nil,sK11(tl(sK56),nil)) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_17822]) ).
tcf(c_82022,plain,
app(nil,sK11(cons(sK57,app(sK59,sK59)),nil)) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_38541,c_17822]) ).
tcf(c_82023,plain,
app(nil,sK11(cons(sK57,app(sK58,sK59)),nil)) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_42487,c_17822]) ).
tcf(c_82024,plain,
app(nil,sK11(cons(sK57,app(sK56,sK59)),nil)) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_45773,c_17822]) ).
tcf(c_82025,plain,
app(nil,sK11(cons(sK57,app(sK59,sK58)),nil)) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_41763,c_17822]) ).
tcf(c_82026,plain,
app(nil,sK11(cons(sK57,app(sK58,sK58)),nil)) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_43212,c_17822]) ).
tcf(c_82027,plain,
app(nil,sK11(cons(sK57,app(sK56,sK58)),nil)) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45770,c_17822]) ).
tcf(c_82028,plain,
app(nil,sK11(cons(sK57,app(sK59,sK56)),nil)) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_45369,c_17822]) ).
tcf(c_82029,plain,
app(nil,sK11(cons(sK57,app(sK58,sK56)),nil)) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_46410,c_17822]) ).
tcf(c_82030,plain,
app(nil,sK11(cons(sK57,app(sK56,sK56)),nil)) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_46972,c_17822]) ).
tcf(c_82031,plain,
( ( app(nil,sK11(app(sK59,app(sK59,sK59)),nil)) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_17822]) ).
tcf(c_82032,plain,
( ( app(nil,sK11(app(sK59,app(sK58,sK59)),nil)) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_17822]) ).
tcf(c_82033,plain,
( ( app(nil,sK11(app(sK59,app(sK56,sK59)),nil)) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_17822]) ).
tcf(c_82034,plain,
( ( app(nil,sK11(app(sK58,app(sK59,sK59)),nil)) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_17822]) ).
tcf(c_82035,plain,
( ( app(nil,sK11(app(sK58,app(sK58,sK59)),nil)) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_17822]) ).
tcf(c_82036,plain,
( ( app(nil,sK11(app(sK58,app(sK56,sK59)),nil)) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_17822]) ).
tcf(c_82037,plain,
( ( app(nil,sK11(app(sK56,app(sK59,sK59)),nil)) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_17822]) ).
tcf(c_82038,plain,
( ( app(nil,sK11(app(sK56,app(sK58,sK59)),nil)) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_17822]) ).
tcf(c_82039,plain,
( ( app(nil,sK11(app(sK56,app(sK56,sK59)),nil)) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_17822]) ).
tcf(c_82040,plain,
( ( tl(iPr_def_12) = nil )
| ( app(nil,sK11(tl(tl(iPr_def_12)),nil)) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78417,c_17822]) ).
tcf(c_82041,plain,
( ( app(nil,sK11(app(sK59,app(sK59,sK58)),nil)) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_17822]) ).
tcf(c_82042,plain,
( ( app(nil,sK11(app(sK59,app(sK58,sK58)),nil)) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_17822]) ).
tcf(c_82043,plain,
( ( app(nil,sK11(app(sK59,app(sK56,sK58)),nil)) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_17822]) ).
tcf(c_82044,plain,
( ( app(nil,sK11(app(sK58,app(sK59,sK58)),nil)) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_17822]) ).
tcf(c_82045,plain,
( ( app(nil,sK11(app(sK58,app(sK58,sK58)),nil)) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_17822]) ).
tcf(c_82046,plain,
( ( app(nil,sK11(app(sK58,app(sK56,sK58)),nil)) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_17822]) ).
tcf(c_82278,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(sK8(X0,X1),sK8(X0,X1)),sK8(X0,X1)) = sK8(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_18284]) ).
tcf(c_82279,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(sK9(X0,X1),sK9(X0,X1)),sK9(X0,X1)) = sK9(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_18284]) ).
tcf(c_82280,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(app(X0,X1),app(X0,X1)),app(X0,X1)) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_18284]) ).
tcf(c_82281,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(sK11(X0,X1),sK11(X0,X1)),sK11(X0,X1)) = sK11(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_18284]) ).
tcf(c_82282,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(sK12(X0,X1),sK12(X0,X1)),sK12(X0,X1)) = sK12(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_18284]) ).
tcf(c_82283,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(sK13(X0,X1),sK13(X0,X1)),sK13(X0,X1)) = sK13(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_18284]) ).
tcf(c_82284,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(sK14(X0,X1),sK14(X0,X1)),sK14(X0,X1)) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_18284]) ).
tcf(c_82294,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK12(sK34(X0),sK34(X0)),sK34(X0)) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_18284]) ).
tcf(c_82295,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK12(sK33(X0),sK33(X0)),sK33(X0)) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_18284]) ).
tcf(c_82296,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK12(sK32(X0),sK32(X0)),sK32(X0)) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_18284]) ).
tcf(c_82297,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK12(sK39(X0),sK39(X0)),sK39(X0)) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_18284]) ).
tcf(c_82298,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK12(sK38(X0),sK38(X0)),sK38(X0)) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_18284]) ).
tcf(c_82299,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK12(sK37(X0),sK37(X0)),sK37(X0)) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_18284]) ).
tcf(c_82300,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK12(sK44(X0),sK44(X0)),sK44(X0)) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_18284]) ).
tcf(c_82301,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK12(sK43(X0),sK43(X0)),sK43(X0)) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_18284]) ).
tcf(c_82302,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK12(sK42(X0),sK42(X0)),sK42(X0)) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_18284]) ).
tcf(c_82303,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK12(sK48(X0),sK48(X0)),sK48(X0)) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_18284]) ).
tcf(c_82304,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK12(sK47(X0),sK47(X0)),sK47(X0)) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_18284]) ).
tcf(c_82305,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(cons(X0,X1),cons(X0,X1)),cons(X0,X1)) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_18284]) ).
tcf(c_82307,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK12(sK49(X0),sK49(X0)),sK49(X0)) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_18284]) ).
tcf(c_82308,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK12(tl(X0),tl(X0)),tl(X0)) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_18284]) ).
tcf(c_82309,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK12(sK52(X0),sK52(X0)),sK52(X0)) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_18284]) ).
tcf(c_82319,plain,
( ( nil = sK59 )
| ( app(sK12(tl(sK59),tl(sK59)),tl(sK59)) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_18284]) ).
tcf(c_82320,plain,
( ( nil = sK58 )
| ( app(sK12(tl(sK58),tl(sK58)),tl(sK58)) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_18284]) ).
tcf(c_82321,plain,
( ( nil = sK56 )
| ( app(sK12(tl(sK56),tl(sK56)),tl(sK56)) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_18284]) ).
tcf(c_82326,plain,
app(sK12(cons(sK57,app(sK59,sK59)),cons(sK57,app(sK59,sK59))),cons(sK57,app(sK59,sK59))) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_38541,c_18284]) ).
tcf(c_82327,plain,
app(sK12(cons(sK57,app(sK58,sK59)),cons(sK57,app(sK58,sK59))),cons(sK57,app(sK58,sK59))) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_42487,c_18284]) ).
tcf(c_82328,plain,
app(sK12(cons(sK57,app(sK56,sK59)),cons(sK57,app(sK56,sK59))),cons(sK57,app(sK56,sK59))) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_45773,c_18284]) ).
tcf(c_82329,plain,
app(sK12(cons(sK57,app(sK59,sK58)),cons(sK57,app(sK59,sK58))),cons(sK57,app(sK59,sK58))) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_41763,c_18284]) ).
tcf(c_82330,plain,
app(sK12(cons(sK57,app(sK58,sK58)),cons(sK57,app(sK58,sK58))),cons(sK57,app(sK58,sK58))) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_43212,c_18284]) ).
tcf(c_82331,plain,
app(sK12(cons(sK57,app(sK56,sK58)),cons(sK57,app(sK56,sK58))),cons(sK57,app(sK56,sK58))) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45770,c_18284]) ).
tcf(c_82332,plain,
app(sK12(cons(sK57,app(sK59,sK56)),cons(sK57,app(sK59,sK56))),cons(sK57,app(sK59,sK56))) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_45369,c_18284]) ).
tcf(c_82333,plain,
app(sK12(cons(sK57,app(sK58,sK56)),cons(sK57,app(sK58,sK56))),cons(sK57,app(sK58,sK56))) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_46410,c_18284]) ).
tcf(c_82334,plain,
app(sK12(cons(sK57,app(sK56,sK56)),cons(sK57,app(sK56,sK56))),cons(sK57,app(sK56,sK56))) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_46972,c_18284]) ).
tcf(c_82335,plain,
( ( app(sK12(app(sK59,app(sK59,sK59)),app(sK59,app(sK59,sK59))),app(sK59,app(sK59,sK59))) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_18284]) ).
tcf(c_82336,plain,
( ( app(sK12(app(sK59,app(sK58,sK59)),app(sK59,app(sK58,sK59))),app(sK59,app(sK58,sK59))) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_18284]) ).
tcf(c_82337,plain,
( ( app(sK12(app(sK59,app(sK56,sK59)),app(sK59,app(sK56,sK59))),app(sK59,app(sK56,sK59))) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_18284]) ).
tcf(c_82338,plain,
( ( app(sK12(app(sK58,app(sK59,sK59)),app(sK58,app(sK59,sK59))),app(sK58,app(sK59,sK59))) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_18284]) ).
tcf(c_82339,plain,
( ( app(sK12(app(sK58,app(sK58,sK59)),app(sK58,app(sK58,sK59))),app(sK58,app(sK58,sK59))) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_18284]) ).
tcf(c_82340,plain,
( ( app(sK12(app(sK58,app(sK56,sK59)),app(sK58,app(sK56,sK59))),app(sK58,app(sK56,sK59))) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_18284]) ).
tcf(c_82341,plain,
( ( app(sK12(app(sK56,app(sK59,sK59)),app(sK56,app(sK59,sK59))),app(sK56,app(sK59,sK59))) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_18284]) ).
tcf(c_82342,plain,
( ( app(sK12(app(sK56,app(sK58,sK59)),app(sK56,app(sK58,sK59))),app(sK56,app(sK58,sK59))) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_18284]) ).
tcf(c_82343,plain,
( ( app(sK12(app(sK56,app(sK56,sK59)),app(sK56,app(sK56,sK59))),app(sK56,app(sK56,sK59))) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_18284]) ).
tcf(c_82344,plain,
( ( tl(iPr_def_12) = nil )
| ( app(sK12(tl(tl(iPr_def_12)),tl(tl(iPr_def_12))),tl(tl(iPr_def_12))) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78417,c_18284]) ).
tcf(c_82345,plain,
( ( app(sK12(app(sK59,app(sK59,sK58)),app(sK59,app(sK59,sK58))),app(sK59,app(sK59,sK58))) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_18284]) ).
tcf(c_82346,plain,
( ( app(sK12(app(sK59,app(sK58,sK58)),app(sK59,app(sK58,sK58))),app(sK59,app(sK58,sK58))) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_18284]) ).
tcf(c_82347,plain,
( ( app(sK12(app(sK59,app(sK56,sK58)),app(sK59,app(sK56,sK58))),app(sK59,app(sK56,sK58))) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_18284]) ).
tcf(c_82348,plain,
( ( app(sK12(app(sK58,app(sK59,sK58)),app(sK58,app(sK59,sK58))),app(sK58,app(sK59,sK58))) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_18284]) ).
tcf(c_82349,plain,
( ( app(sK12(app(sK58,app(sK58,sK58)),app(sK58,app(sK58,sK58))),app(sK58,app(sK58,sK58))) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_18284]) ).
tcf(c_82350,plain,
( ( app(sK12(app(sK58,app(sK56,sK58)),app(sK58,app(sK56,sK58))),app(sK58,app(sK56,sK58))) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_18284]) ).
tcf(c_82745,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(sK8(X0,X1),nil),nil) = sK8(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_18312]) ).
tcf(c_82746,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(sK9(X0,X1),nil),nil) = sK9(X0,X1) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_18312]) ).
tcf(c_82747,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(app(X0,X1),nil),nil) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_18312]) ).
tcf(c_82748,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(sK11(X0,X1),nil),nil) = sK11(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_18312]) ).
tcf(c_82749,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(sK12(X0,X1),nil),nil) = sK12(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_18312]) ).
tcf(c_82750,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(sK13(X0,X1),nil),nil) = sK13(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_18312]) ).
tcf(c_82751,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(sK14(X0,X1),nil),nil) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_18312]) ).
tcf(c_82761,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK12(sK34(X0),nil),nil) = sK34(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_18312]) ).
tcf(c_82762,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK12(sK33(X0),nil),nil) = sK33(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_18312]) ).
tcf(c_82763,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(sK12(sK32(X0),nil),nil) = sK32(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_18312]) ).
tcf(c_82764,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK12(sK39(X0),nil),nil) = sK39(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_18312]) ).
tcf(c_82765,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK12(sK38(X0),nil),nil) = sK38(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_18312]) ).
tcf(c_82766,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(sK12(sK37(X0),nil),nil) = sK37(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_18312]) ).
tcf(c_82767,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK12(sK44(X0),nil),nil) = sK44(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_18312]) ).
tcf(c_82768,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK12(sK43(X0),nil),nil) = sK43(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_18312]) ).
tcf(c_82769,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(sK12(sK42(X0),nil),nil) = sK42(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_18312]) ).
tcf(c_82770,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK12(sK48(X0),nil),nil) = sK48(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_18312]) ).
tcf(c_82771,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(sK12(sK47(X0),nil),nil) = sK47(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_18312]) ).
tcf(c_82772,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(cons(X0,X1),nil),nil) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_18312]) ).
tcf(c_82774,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK12(sK49(X0),nil),nil) = sK49(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_18312]) ).
tcf(c_82775,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK12(tl(X0),nil),nil) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_18312]) ).
tcf(c_82776,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK12(sK52(X0),nil),nil) = sK52(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_18312]) ).
tcf(c_82786,plain,
( ( nil = sK59 )
| ( app(sK12(tl(sK59),nil),nil) = tl(sK59) ) ),
inference(superposition,[status(thm)],[c_15329,c_18312]) ).
tcf(c_82787,plain,
( ( nil = sK58 )
| ( app(sK12(tl(sK58),nil),nil) = tl(sK58) ) ),
inference(superposition,[status(thm)],[c_15365,c_18312]) ).
tcf(c_82788,plain,
( ( nil = sK56 )
| ( app(sK12(tl(sK56),nil),nil) = tl(sK56) ) ),
inference(superposition,[status(thm)],[c_15756,c_18312]) ).
tcf(c_82793,plain,
app(sK12(cons(sK57,app(sK59,sK59)),nil),nil) = cons(sK57,app(sK59,sK59)),
inference(superposition,[status(thm)],[c_38541,c_18312]) ).
tcf(c_82794,plain,
app(sK12(cons(sK57,app(sK58,sK59)),nil),nil) = cons(sK57,app(sK58,sK59)),
inference(superposition,[status(thm)],[c_42487,c_18312]) ).
tcf(c_82795,plain,
app(sK12(cons(sK57,app(sK56,sK59)),nil),nil) = cons(sK57,app(sK56,sK59)),
inference(superposition,[status(thm)],[c_45773,c_18312]) ).
tcf(c_82796,plain,
app(sK12(cons(sK57,app(sK59,sK58)),nil),nil) = cons(sK57,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_41763,c_18312]) ).
tcf(c_82797,plain,
app(sK12(cons(sK57,app(sK58,sK58)),nil),nil) = cons(sK57,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_43212,c_18312]) ).
tcf(c_82798,plain,
app(sK12(cons(sK57,app(sK56,sK58)),nil),nil) = cons(sK57,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_45770,c_18312]) ).
tcf(c_82799,plain,
app(sK12(cons(sK57,app(sK59,sK56)),nil),nil) = cons(sK57,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_45369,c_18312]) ).
tcf(c_82800,plain,
app(sK12(cons(sK57,app(sK58,sK56)),nil),nil) = cons(sK57,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_46410,c_18312]) ).
tcf(c_82801,plain,
app(sK12(cons(sK57,app(sK56,sK56)),nil),nil) = cons(sK57,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_46972,c_18312]) ).
tcf(c_82802,plain,
( ( app(sK12(app(sK59,app(sK59,sK59)),nil),nil) = app(sK59,app(sK59,sK59)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_18312]) ).
tcf(c_82803,plain,
( ( app(sK12(app(sK59,app(sK58,sK59)),nil),nil) = app(sK59,app(sK58,sK59)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_18312]) ).
tcf(c_82804,plain,
( ( app(sK12(app(sK59,app(sK56,sK59)),nil),nil) = app(sK59,app(sK56,sK59)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_18312]) ).
tcf(c_82805,plain,
( ( app(sK12(app(sK58,app(sK59,sK59)),nil),nil) = app(sK58,app(sK59,sK59)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_18312]) ).
tcf(c_82806,plain,
( ( app(sK12(app(sK58,app(sK58,sK59)),nil),nil) = app(sK58,app(sK58,sK59)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_18312]) ).
tcf(c_82807,plain,
( ( app(sK12(app(sK58,app(sK56,sK59)),nil),nil) = app(sK58,app(sK56,sK59)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_18312]) ).
tcf(c_82808,plain,
( ( app(sK12(app(sK56,app(sK59,sK59)),nil),nil) = app(sK56,app(sK59,sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_18312]) ).
tcf(c_82809,plain,
( ( app(sK12(app(sK56,app(sK58,sK59)),nil),nil) = app(sK56,app(sK58,sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_18312]) ).
tcf(c_82810,plain,
( ( app(sK12(app(sK56,app(sK56,sK59)),nil),nil) = app(sK56,app(sK56,sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_18312]) ).
tcf(c_82811,plain,
( ( tl(iPr_def_12) = nil )
| ( app(sK12(tl(tl(iPr_def_12)),nil),nil) = tl(tl(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_78417,c_18312]) ).
tcf(c_82812,plain,
( ( app(sK12(app(sK59,app(sK59,sK58)),nil),nil) = app(sK59,app(sK59,sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_18312]) ).
tcf(c_82813,plain,
( ( app(sK12(app(sK59,app(sK58,sK58)),nil),nil) = app(sK59,app(sK58,sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_18312]) ).
tcf(c_82814,plain,
( ( app(sK12(app(sK59,app(sK56,sK58)),nil),nil) = app(sK59,app(sK56,sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_18312]) ).
tcf(c_82815,plain,
( ( app(sK12(app(sK58,app(sK59,sK58)),nil),nil) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_18312]) ).
tcf(c_82816,plain,
( ( app(sK12(app(sK58,app(sK58,sK58)),nil),nil) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_18312]) ).
tcf(c_82817,plain,
( ( app(sK12(app(sK58,app(sK56,sK58)),nil),nil) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_18312]) ).
tcf(c_83186,plain,
! [X0: $i,X1: $i] :
( ( cons(sK60,sK8(X0,X1)) = app(iPr_def_10,sK8(X0,X1)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_18957]) ).
tcf(c_83187,plain,
! [X0: $i,X1: $i] :
( ( cons(sK60,sK9(X0,X1)) = app(iPr_def_10,sK9(X0,X1)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_18957]) ).
tcf(c_83188,plain,
! [X0: $i,X1: $i] :
( ( cons(sK60,app(X0,X1)) = app(iPr_def_10,app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_18957]) ).
tcf(c_83189,plain,
! [X0: $i,X1: $i] :
( ( cons(sK60,sK11(X0,X1)) = app(iPr_def_10,sK11(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_18957]) ).
tcf(c_83190,plain,
! [X0: $i,X1: $i] :
( ( cons(sK60,sK12(X0,X1)) = app(iPr_def_10,sK12(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_18957]) ).
tcf(c_83191,plain,
! [X0: $i,X1: $i] :
( ( cons(sK60,sK13(X0,X1)) = app(iPr_def_10,sK13(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_18957]) ).
tcf(c_83192,plain,
! [X0: $i,X1: $i] :
( ( cons(sK60,sK14(X0,X1)) = app(iPr_def_10,sK14(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_18957]) ).
tcf(c_83202,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK60,sK34(X0)) = app(iPr_def_10,sK34(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_18957]) ).
tcf(c_83203,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK60,sK33(X0)) = app(iPr_def_10,sK33(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_18957]) ).
tcf(c_83204,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( cons(sK60,sK32(X0)) = app(iPr_def_10,sK32(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_18957]) ).
tcf(c_83205,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK60,sK39(X0)) = app(iPr_def_10,sK39(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_18957]) ).
tcf(c_83206,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK60,sK38(X0)) = app(iPr_def_10,sK38(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_18957]) ).
tcf(c_83207,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( cons(sK60,sK37(X0)) = app(iPr_def_10,sK37(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_18957]) ).
tcf(c_83208,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK60,sK44(X0)) = app(iPr_def_10,sK44(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_18957]) ).
tcf(c_83209,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK60,sK43(X0)) = app(iPr_def_10,sK43(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_18957]) ).
tcf(c_83210,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( cons(sK60,sK42(X0)) = app(iPr_def_10,sK42(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_18957]) ).
tcf(c_83211,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( cons(sK60,sK48(X0)) = app(iPr_def_10,sK48(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_18957]) ).
tcf(c_83212,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( cons(sK60,sK47(X0)) = app(iPr_def_10,sK47(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_18957]) ).
tcf(c_83213,plain,
! [X0: $i,X1: $i] :
( ( cons(sK60,cons(X0,X1)) = app(iPr_def_10,cons(X0,X1)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_18957]) ).
tcf(c_83214,plain,
cons(sK60,nil) = app(iPr_def_10,nil),
inference(superposition,[status(thm)],[c_141,c_18957]) ).
tcf(c_83215,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,sK49(X0)) = app(iPr_def_10,sK49(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_18957]) ).
tcf(c_83216,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,tl(X0)) = app(iPr_def_10,tl(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_18957]) ).
tcf(c_83217,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK60,sK52(X0)) = app(iPr_def_10,sK52(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_18957]) ).
tcf(c_83218,plain,
cons(sK60,sK59) = app(iPr_def_10,sK59),
inference(superposition,[status(thm)],[c_8916,c_18957]) ).
tcf(c_83219,plain,
cons(sK60,sK58) = app(iPr_def_10,sK58),
inference(superposition,[status(thm)],[c_8915,c_18957]) ).
tcf(c_83220,plain,
cons(sK60,sK56) = app(iPr_def_10,sK56),
inference(superposition,[status(thm)],[c_8907,c_18957]) ).
tcf(c_83221,plain,
cons(sK60,iPr_def_12) = app(iPr_def_10,iPr_def_12),
inference(superposition,[status(thm)],[c_12842,c_18957]) ).
tcf(c_83222,plain,
cons(sK60,iPr_def_11) = app(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_12706,c_18957]) ).
tcf(c_83223,plain,
cons(sK60,iPr_def_10) = app(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_18245,c_18957]) ).
tcf(c_83224,plain,
cons(sK60,cons(sK57,sK59)) = app(iPr_def_10,cons(sK57,sK59)),
inference(superposition,[status(thm)],[c_38491,c_18957]) ).
tcf(c_83225,plain,
cons(sK60,cons(sK57,sK58)) = app(iPr_def_10,cons(sK57,sK58)),
inference(superposition,[status(thm)],[c_42438,c_18957]) ).
tcf(c_83226,plain,
cons(sK60,cons(sK57,sK56)) = app(iPr_def_10,cons(sK57,sK56)),
inference(superposition,[status(thm)],[c_45721,c_18957]) ).
tcf(c_83227,plain,
( ( nil = sK59 )
| ( cons(sK60,tl(sK59)) = app(iPr_def_10,tl(sK59)) ) ),
inference(superposition,[status(thm)],[c_15329,c_18957]) ).
tcf(c_83228,plain,
( ( nil = sK58 )
| ( cons(sK60,tl(sK58)) = app(iPr_def_10,tl(sK58)) ) ),
inference(superposition,[status(thm)],[c_15365,c_18957]) ).
tcf(c_83229,plain,
( ( nil = sK56 )
| ( cons(sK60,tl(sK56)) = app(iPr_def_10,tl(sK56)) ) ),
inference(superposition,[status(thm)],[c_15756,c_18957]) ).
tcf(c_83230,plain,
cons(sK60,tl(iPr_def_12)) = app(iPr_def_10,tl(iPr_def_12)),
inference(superposition,[status(thm)],[c_19014,c_18957]) ).
tcf(c_83231,plain,
cons(sK60,cons(sK57,iPr_def_12)) = app(iPr_def_10,cons(sK57,iPr_def_12)),
inference(superposition,[status(thm)],[c_69986,c_18957]) ).
tcf(c_83232,plain,
cons(sK60,cons(sK57,iPr_def_11)) = app(iPr_def_10,cons(sK57,iPr_def_11)),
inference(superposition,[status(thm)],[c_72108,c_18957]) ).
tcf(c_83233,plain,
cons(sK60,cons(sK57,iPr_def_10)) = app(iPr_def_10,cons(sK57,iPr_def_10)),
inference(superposition,[status(thm)],[c_59801,c_18957]) ).
tcf(c_83234,plain,
cons(sK60,cons(sK57,app(sK59,sK59))) = app(iPr_def_10,cons(sK57,app(sK59,sK59))),
inference(superposition,[status(thm)],[c_38541,c_18957]) ).
tcf(c_83235,plain,
cons(sK60,cons(sK57,app(sK58,sK59))) = app(iPr_def_10,cons(sK57,app(sK58,sK59))),
inference(superposition,[status(thm)],[c_42487,c_18957]) ).
tcf(c_83236,plain,
cons(sK60,cons(sK57,app(sK56,sK59))) = app(iPr_def_10,cons(sK57,app(sK56,sK59))),
inference(superposition,[status(thm)],[c_45773,c_18957]) ).
tcf(c_83237,plain,
cons(sK60,cons(sK57,app(sK59,sK58))) = app(iPr_def_10,cons(sK57,app(sK59,sK58))),
inference(superposition,[status(thm)],[c_41763,c_18957]) ).
tcf(c_83238,plain,
cons(sK60,cons(sK57,app(sK58,sK58))) = app(iPr_def_10,cons(sK57,app(sK58,sK58))),
inference(superposition,[status(thm)],[c_43212,c_18957]) ).
tcf(c_83239,plain,
cons(sK60,cons(sK57,app(sK56,sK58))) = app(iPr_def_10,cons(sK57,app(sK56,sK58))),
inference(superposition,[status(thm)],[c_45770,c_18957]) ).
tcf(c_83240,plain,
cons(sK60,cons(sK57,app(sK59,sK56))) = app(iPr_def_10,cons(sK57,app(sK59,sK56))),
inference(superposition,[status(thm)],[c_45369,c_18957]) ).
tcf(c_83241,plain,
cons(sK60,cons(sK57,app(sK58,sK56))) = app(iPr_def_10,cons(sK57,app(sK58,sK56))),
inference(superposition,[status(thm)],[c_46410,c_18957]) ).
tcf(c_83242,plain,
cons(sK60,cons(sK57,app(sK56,sK56))) = app(iPr_def_10,cons(sK57,app(sK56,sK56))),
inference(superposition,[status(thm)],[c_46972,c_18957]) ).
tcf(c_83243,plain,
( ( cons(sK60,app(sK59,app(sK59,sK59))) = app(iPr_def_10,app(sK59,app(sK59,sK59))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_18957]) ).
tcf(c_83244,plain,
( ( cons(sK60,app(sK59,app(sK58,sK59))) = app(iPr_def_10,app(sK59,app(sK58,sK59))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_18957]) ).
tcf(c_83245,plain,
( ( cons(sK60,app(sK59,app(sK56,sK59))) = app(iPr_def_10,app(sK59,app(sK56,sK59))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_18957]) ).
tcf(c_83246,plain,
( ( cons(sK60,app(sK58,app(sK59,sK59))) = app(iPr_def_10,app(sK58,app(sK59,sK59))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_18957]) ).
tcf(c_83247,plain,
( ( cons(sK60,app(sK58,app(sK58,sK59))) = app(iPr_def_10,app(sK58,app(sK58,sK59))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_18957]) ).
tcf(c_83248,plain,
( ( cons(sK60,app(sK58,app(sK56,sK59))) = app(iPr_def_10,app(sK58,app(sK56,sK59))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_18957]) ).
tcf(c_83249,plain,
( ( cons(sK60,app(sK56,app(sK59,sK59))) = app(iPr_def_10,app(sK56,app(sK59,sK59))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_18957]) ).
tcf(c_83250,plain,
( ( cons(sK60,app(sK56,app(sK58,sK59))) = app(iPr_def_10,app(sK56,app(sK58,sK59))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_18957]) ).
tcf(c_83251,plain,
( ( cons(sK60,app(sK56,app(sK56,sK59))) = app(iPr_def_10,app(sK56,app(sK56,sK59))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_18957]) ).
tcf(c_83252,plain,
( ( tl(iPr_def_12) = nil )
| ( cons(sK60,tl(tl(iPr_def_12))) = app(iPr_def_10,tl(tl(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_78417,c_18957]) ).
tcf(c_83253,plain,
( ( cons(sK60,app(sK59,app(sK59,sK58))) = app(iPr_def_10,app(sK59,app(sK59,sK58))) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_18957]) ).
tcf(c_83254,plain,
( ( cons(sK60,app(sK59,app(sK58,sK58))) = app(iPr_def_10,app(sK59,app(sK58,sK58))) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_18957]) ).
tcf(c_83255,plain,
( ( cons(sK60,app(sK59,app(sK56,sK58))) = app(iPr_def_10,app(sK59,app(sK56,sK58))) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_18957]) ).
tcf(c_83256,plain,
( ( cons(sK60,app(sK58,app(sK59,sK58))) = app(iPr_def_10,app(sK58,app(sK59,sK58))) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_18957]) ).
tcf(c_83257,plain,
( ( cons(sK60,app(sK58,app(sK58,sK58))) = app(iPr_def_10,app(sK58,app(sK58,sK58))) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_18957]) ).
tcf(c_83258,plain,
( ( cons(sK60,app(sK58,app(sK56,sK58))) = app(iPr_def_10,app(sK58,app(sK56,sK58))) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_18957]) ).
tcf(c_83654,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK59),X0),sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_10,sK59),X0)) ),
inference(superposition,[status(thm)],[c_83218,c_67]) ).
tcf(c_83657,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK59,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK59),X0) ),
inference(superposition,[status(thm)],[c_83218,c_167]) ).
tcf(c_83658,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ( cons(sK60,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_83218,c_231]) ).
tcf(c_83659,plain,
( ( nil = sK59 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ( cons(sK60,sK59) != nil ) ),
inference(superposition,[status(thm)],[c_83218,c_230]) ).
tcf(c_83660,plain,
( frontsegP(cons(sK60,sK59),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_83218,c_382]) ).
tcf(c_83661,plain,
( rearsegP(cons(sK60,sK59),sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_83218,c_379]) ).
tcf(c_83662,plain,
( ssList(cons(sK60,sK59))
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_83218,c_153]) ).
tcf(c_83663,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ( app(X0,sK59) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_83218,c_225]) ).
tcf(c_83664,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_83218,c_226]) ).
tcf(c_83665,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK59),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_83218,c_176]) ).
tcf(c_83666,plain,
! [X0: $i] :
( memberP(cons(sK60,sK59),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_83218,c_165]) ).
tcf(c_83667,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK59),X1),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_83218,c_193]) ).
tcf(c_83668,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK59),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(superposition,[status(thm)],[c_83218,c_186]) ).
tcf(c_83669,plain,
! [X0: $i] :
( memberP(cons(sK60,sK59),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(superposition,[status(thm)],[c_83218,c_166]) ).
tcf(c_83670,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK59) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_83218,c_38527]) ).
tcf(c_83671,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ ssList(iPr_def_10)
| ( cons(sK60,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_83218,c_25223]) ).
tcf(c_83672,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK60,sK59) != sK59 ) ),
inference(superposition,[status(thm)],[c_83218,c_25211]) ).
tcf(c_83673,plain,
( segmentP(cons(sK60,sK59),cons(sK57,sK59))
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_83218,c_73177]) ).
tcf(c_83674,plain,
( segmentP(cons(sK60,sK59),nil)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_83218,c_73180]) ).
tcf(c_83675,plain,
( segmentP(cons(sK60,sK59),sK59)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_83218,c_73174]) ).
tcf(c_83676,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_83218,c_26887]) ).
tcf(c_83677,plain,
segmentP(cons(sK60,sK59),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_83675,c_8916]) ).
tcf(c_83678,plain,
segmentP(cons(sK60,sK59),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_83674,c_8916]) ).
tcf(c_83679,plain,
segmentP(cons(sK60,sK59),cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_83673,c_8916]) ).
tcf(c_83680,plain,
ssList(cons(sK60,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_83662,c_18245,c_8916]) ).
tcf(c_83681,plain,
rearsegP(cons(sK60,sK59),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_83661,c_18245,c_8916]) ).
tcf(c_83682,plain,
frontsegP(cons(sK60,sK59),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_83660,c_18245,c_8916]) ).
tcf(c_83683,plain,
cons(sK60,sK59) != sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_83672,c_18255,c_18245]) ).
tcf(c_83684,plain,
( ( iPr_def_10 = iPr_def_12 )
| ( cons(sK60,sK59) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83671,c_18245]) ).
tcf(c_83687,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83676,c_8916]) ).
tcf(c_83691,plain,
( ( iPr_def_10 = iPr_def_11 )
| ( cons(sK57,sK59) != cons(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83670,c_18245]) ).
tcf(c_83697,plain,
cons(sK60,sK59) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_83658,c_18255,c_18245,c_8916]) ).
tcf(c_83698,plain,
! [X0: $i] :
( memberP(cons(sK60,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83669,c_18245,c_8916]) ).
tcf(c_83702,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK59),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83668,c_18245,c_8916]) ).
tcf(c_83706,plain,
! [X0: $i] :
( memberP(cons(sK60,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83666,c_18245,c_8916]) ).
tcf(c_83710,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83665,c_18245,c_8916]) ).
tcf(c_83714,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK59,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83657,c_18245,c_8916]) ).
tcf(c_83719,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83664,c_18245,c_8916]) ).
tcf(c_83723,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,sK59) != cons(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83663,c_18245,c_8916]) ).
tcf(c_83727,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK59),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83667,c_18245,c_8916]) ).
tcf(c_83732,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK59),X0),sK59)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK59),X0)) ),
inference(light_normalisation,[status(thm)],[c_83654,c_83218]) ).
tcf(c_83733,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK59),X0),sK59)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83732,c_18245,c_8916]) ).
tcf(c_84250,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK60,sK59)) = app(X0,app(X1,cons(sK60,sK59))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_83680,c_228]) ).
tcf(c_84251,plain,
cons(sK60,cons(sK60,sK59)) = app(iPr_def_10,cons(sK60,sK59)),
inference(superposition,[status(thm)],[c_83680,c_18957]) ).
tcf(c_84252,plain,
app(sK12(cons(sK60,sK59),nil),nil) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83680,c_18312]) ).
tcf(c_84253,plain,
app(sK12(cons(sK60,sK59),cons(sK60,sK59)),cons(sK60,sK59)) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83680,c_18284]) ).
tcf(c_84254,plain,
app(nil,sK11(cons(sK60,sK59),nil)) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83680,c_17822]) ).
tcf(c_84255,plain,
app(app(sK58,cons(sK60,sK59)),sK58) = app(sK58,app(cons(sK60,sK59),sK58)),
inference(superposition,[status(thm)],[c_83680,c_74272]) ).
tcf(c_84256,plain,
app(cons(sK60,sK59),sK11(cons(sK60,sK59),cons(sK60,sK59))) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83680,c_17782]) ).
tcf(c_84257,plain,
app(app(sK59,cons(sK60,sK59)),sK58) = app(sK59,app(cons(sK60,sK59),sK58)),
inference(superposition,[status(thm)],[c_83680,c_74271]) ).
tcf(c_84258,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK59),X0),sK58) = app(cons(sK60,sK59),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_83680,c_22630]) ).
tcf(c_84259,plain,
cons(sK57,cons(sK60,sK59)) = app(iPr_def_11,cons(sK60,sK59)),
inference(superposition,[status(thm)],[c_83680,c_16606]) ).
tcf(c_84260,plain,
app(app(sK56,cons(sK60,sK59)),sK59) = app(sK56,app(cons(sK60,sK59),sK59)),
inference(superposition,[status(thm)],[c_83680,c_63530]) ).
tcf(c_84261,plain,
app(app(sK58,cons(sK60,sK59)),sK59) = app(sK58,app(cons(sK60,sK59),sK59)),
inference(superposition,[status(thm)],[c_83680,c_63529]) ).
tcf(c_84262,plain,
app(app(sK59,cons(sK60,sK59)),sK59) = app(sK59,app(cons(sK60,sK59),sK59)),
inference(superposition,[status(thm)],[c_83680,c_63528]) ).
tcf(c_84263,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK59),X0),sK59) = app(cons(sK60,sK59),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_83680,c_22629]) ).
tcf(c_84264,plain,
hd(app(iPr_def_11,cons(sK60,sK59))) = sK57,
inference(superposition,[status(thm)],[c_83680,c_19198]) ).
tcf(c_84265,plain,
hd(cons(sK60,cons(sK60,sK59))) = sK60,
inference(superposition,[status(thm)],[c_83680,c_18952]) ).
tcf(c_84266,plain,
tl(cons(sK60,cons(sK60,sK59))) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83680,c_18951]) ).
tcf(c_84267,plain,
cons(sK57,app(cons(sK60,sK59),sK56)) = app(cons(sK57,cons(sK60,sK59)),sK56),
inference(superposition,[status(thm)],[c_83680,c_37365]) ).
tcf(c_84268,plain,
tl(cons(sK7,cons(sK60,sK59))) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83680,c_13978]) ).
tcf(c_84269,plain,
tl(cons(sK6,cons(sK60,sK59))) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83680,c_13977]) ).
tcf(c_84270,plain,
cons(sK57,app(cons(sK60,sK59),sK58)) = app(cons(sK57,cons(sK60,sK59)),sK58),
inference(superposition,[status(thm)],[c_83680,c_37364]) ).
tcf(c_84271,plain,
hd(cons(sK7,cons(sK60,sK59))) = sK7,
inference(superposition,[status(thm)],[c_83680,c_13802]) ).
tcf(c_84272,plain,
hd(cons(sK6,cons(sK60,sK59))) = sK6,
inference(superposition,[status(thm)],[c_83680,c_13801]) ).
tcf(c_84273,plain,
cons(sK57,app(cons(sK60,sK59),sK59)) = app(cons(sK57,cons(sK60,sK59)),sK59),
inference(superposition,[status(thm)],[c_83680,c_37363]) ).
tcf(c_84274,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK60,sK59))) = app(cons(sK57,X0),cons(sK60,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_83680,c_22147]) ).
tcf(c_84275,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK60,sK59)) = tl(app(sK56,cons(sK60,sK59))) ) ),
inference(superposition,[status(thm)],[c_83680,c_21660]) ).
tcf(c_84276,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK60,sK59)) = tl(app(sK58,cons(sK60,sK59))) ) ),
inference(superposition,[status(thm)],[c_83680,c_21659]) ).
tcf(c_84277,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK60,sK59)) = tl(app(sK59,cons(sK60,sK59))) ) ),
inference(superposition,[status(thm)],[c_83680,c_21658]) ).
tcf(c_84278,plain,
( duplicatefreeP(cons(sK60,sK59))
| ( app(app(sK42(cons(sK60,sK59)),cons(sK40(cons(sK60,sK59)),sK43(cons(sK60,sK59)))),cons(sK41(cons(sK60,sK59)),sK44(cons(sK60,sK59)))) = cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_83680,c_124]) ).
tcf(c_84279,plain,
( strictorderedP(cons(sK60,sK59))
| ( app(app(sK37(cons(sK60,sK59)),cons(sK35(cons(sK60,sK59)),sK38(cons(sK60,sK59)))),cons(sK36(cons(sK60,sK59)),sK39(cons(sK60,sK59)))) = cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_83680,c_116]) ).
tcf(c_84280,plain,
( totalorderedP(cons(sK60,sK59))
| ( app(app(sK32(cons(sK60,sK59)),cons(sK30(cons(sK60,sK59)),sK33(cons(sK60,sK59)))),cons(sK31(cons(sK60,sK59)),sK34(cons(sK60,sK59)))) = cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_83680,c_108]) ).
tcf(c_84281,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK60,sK59))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_83680,c_19187]) ).
tcf(c_84282,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = nil )
| ( app(tl(cons(sK60,sK59)),X0) = tl(app(cons(sK60,sK59),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_83680,c_234]) ).
tcf(c_84283,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK60,sK59))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_83680,c_19186]) ).
tcf(c_84284,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK60,sK59))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_83680,c_19185]) ).
tcf(c_84285,plain,
( equalelemsP(cons(sK60,sK59))
| ( app(sK47(cons(sK60,sK59)),cons(sK45(cons(sK60,sK59)),cons(sK46(cons(sK60,sK59)),sK48(cons(sK60,sK59))))) = cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_83680,c_132]) ).
tcf(c_84286,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = nil )
| ( hd(app(cons(sK60,sK59),X0)) = hd(cons(sK60,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_83680,c_233]) ).
tcf(c_84287,plain,
( ( cons(sK60,sK59) = nil )
| ( cons(hd(cons(sK60,sK59)),tl(cons(sK60,sK59))) = cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_83680,c_224]) ).
tcf(c_84288,plain,
( ( cons(sK60,sK59) = nil )
| ( cons(sK50(cons(sK60,sK59)),sK49(cons(sK60,sK59))) = cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_83680,c_147]) ).
tcf(c_84289,plain,
tl(cons(sK57,cons(sK60,sK59))) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83680,c_13997]) ).
tcf(c_84290,plain,
hd(cons(sK57,cons(sK60,sK59))) = sK57,
inference(superposition,[status(thm)],[c_83680,c_13821]) ).
tcf(c_84291,plain,
( ( cons(sK60,sK59) = nil )
| ( tl(cons(sK60,sK59)) = sK52(cons(sK60,sK59)) ) ),
inference(superposition,[status(thm)],[c_83680,c_222]) ).
tcf(c_84292,plain,
( ( cons(sK60,sK59) = nil )
| ( hd(cons(sK60,sK59)) = sK51(cons(sK60,sK59)) ) ),
inference(superposition,[status(thm)],[c_83680,c_220]) ).
tcf(c_84293,plain,
( duplicatefreeP(cons(sK60,sK59))
| ( sK40(cons(sK60,sK59)) = sK41(cons(sK60,sK59)) ) ),
inference(superposition,[status(thm)],[c_83680,c_123]) ).
tcf(c_84294,plain,
app(cons(sK60,sK59),nil) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83680,c_232]) ).
tcf(c_84295,plain,
app(nil,cons(sK60,sK59)) = cons(sK60,sK59),
inference(superposition,[status(thm)],[c_83680,c_155]) ).
tcf(c_84304,plain,
( ( cons(sK60,sK59) = nil )
| ( sK51(cons(sK60,sK59)) = sK60 ) ),
inference(light_normalisation,[status(thm)],[c_84292,c_50951]) ).
tcf(c_84307,plain,
( ( cons(sK60,sK59) = nil )
| ( sK52(cons(sK60,sK59)) = sK59 ) ),
inference(light_normalisation,[status(thm)],[c_84291,c_50396]) ).
tcf(c_84325,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = nil )
| ( hd(app(cons(sK60,sK59),X0)) = sK60 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_84286,c_50951]) ).
tcf(c_84332,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = nil )
| ( tl(app(cons(sK60,sK59),X0)) = app(sK59,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_84282,c_50396]) ).
tcf(c_84405,plain,
( ( app(app(sK13(cons(sK60,sK59),sK59),sK59),sK14(cons(sK60,sK59),sK59)) = cons(sK60,sK59) )
| ~ ssList(sK59)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83677,c_70]) ).
tcf(c_84406,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83677,c_190]) ).
tcf(c_84407,plain,
( ( cons(sK60,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK60,sK59))
| ~ segmentP(sK59,cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83677,c_191]) ).
tcf(c_84408,plain,
( ( cons(sK60,sK59) = sK59 )
| ~ segmentP(sK59,cons(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84407,c_8916,c_83680]) ).
tcf(c_84412,plain,
app(app(sK13(cons(sK60,sK59),sK59),sK59),sK14(cons(sK60,sK59),sK59)) = cons(sK60,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_84405,c_8916,c_83680]) ).
tcf(c_84413,plain,
( ( app(app(sK13(cons(sK60,sK59),nil),nil),sK14(cons(sK60,sK59),nil)) = cons(sK60,sK59) )
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83678,c_70]) ).
tcf(c_84414,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83678,c_190]) ).
tcf(c_84415,plain,
( ( cons(sK60,sK59) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK59))
| ~ segmentP(nil,cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83678,c_191]) ).
tcf(c_84416,plain,
( ( cons(sK60,sK59) = nil )
| ~ segmentP(nil,cons(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84415,c_141,c_83680]) ).
tcf(c_84419,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84414,c_141,c_83680]) ).
tcf(c_84423,plain,
app(app(sK13(cons(sK60,sK59),nil),nil),sK14(cons(sK60,sK59),nil)) = cons(sK60,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_84413,c_141,c_83680]) ).
tcf(c_84424,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83681,c_183]) ).
tcf(c_84425,plain,
( ( cons(sK60,sK59) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK60,sK59))
| ~ rearsegP(sK59,cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83681,c_184]) ).
tcf(c_84426,plain,
( ( app(sK12(cons(sK60,sK59),sK59),sK59) = cons(sK60,sK59) )
| ~ ssList(sK59)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83681,c_66]) ).
tcf(c_84427,plain,
app(sK12(cons(sK60,sK59),sK59),sK59) = cons(sK60,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_84426,c_8916,c_83680]) ).
tcf(c_84428,plain,
( ( cons(sK60,sK59) = sK59 )
| ~ rearsegP(sK59,cons(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84425,c_8916,c_83680]) ).
tcf(c_84432,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK59),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83682,c_173]) ).
tcf(c_84433,plain,
( ( cons(sK60,sK59) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,sK59))
| ~ frontsegP(iPr_def_10,cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83682,c_174]) ).
tcf(c_84434,plain,
( ( app(iPr_def_10,sK11(cons(sK60,sK59),iPr_def_10)) = cons(sK60,sK59) )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83682,c_63]) ).
tcf(c_84435,plain,
app(iPr_def_10,sK11(cons(sK60,sK59),iPr_def_10)) = cons(sK60,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_84434,c_18245,c_83680]) ).
tcf(c_84436,plain,
( ( cons(sK60,sK59) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,cons(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84433,c_18245,c_83680]) ).
tcf(c_84440,plain,
( ( app(app(sK13(cons(sK60,sK59),cons(sK57,sK59)),cons(sK57,sK59)),sK14(cons(sK60,sK59),cons(sK57,sK59))) = cons(sK60,sK59) )
| ~ ssList(cons(sK60,sK59))
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_83679,c_70]) ).
tcf(c_84441,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK59),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK59))
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_83679,c_190]) ).
tcf(c_84442,plain,
( ( cons(sK57,sK59) = cons(sK60,sK59) )
| ~ ssList(cons(sK60,sK59))
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(cons(sK57,sK59),cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83679,c_191]) ).
tcf(c_84443,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK59),X0)
| ~ ssList(X0)
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84441,c_83680,c_38491]) ).
tcf(c_84447,plain,
( ( cons(sK57,sK59) = cons(sK60,sK59) )
| ~ segmentP(cons(sK57,sK59),cons(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84442,c_83680,c_38491]) ).
tcf(c_84450,plain,
app(app(sK13(cons(sK60,sK59),cons(sK57,sK59)),cons(sK57,sK59)),sK14(cons(sK60,sK59),cons(sK57,sK59))) = cons(sK60,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_84440,c_83680,c_38491]) ).
tcf(c_84451,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK58),X0),sK58)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_10,sK58),X0)) ),
inference(superposition,[status(thm)],[c_83219,c_67]) ).
tcf(c_84454,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK58,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK58),X0) ),
inference(superposition,[status(thm)],[c_83219,c_167]) ).
tcf(c_84455,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ( cons(sK60,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_83219,c_231]) ).
tcf(c_84456,plain,
( ( nil = sK58 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ( cons(sK60,sK58) != nil ) ),
inference(superposition,[status(thm)],[c_83219,c_230]) ).
tcf(c_84457,plain,
( frontsegP(cons(sK60,sK58),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_83219,c_382]) ).
tcf(c_84458,plain,
( rearsegP(cons(sK60,sK58),sK58)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_83219,c_379]) ).
tcf(c_84459,plain,
( ssList(cons(sK60,sK58))
| ~ ssList(iPr_def_10)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_83219,c_153]) ).
tcf(c_84460,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ ssList(X0)
| ( app(X0,sK58) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_83219,c_225]) ).
tcf(c_84461,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_83219,c_226]) ).
tcf(c_84462,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK58),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_83219,c_176]) ).
tcf(c_84463,plain,
! [X0: $i] :
( memberP(cons(sK60,sK58),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_83219,c_165]) ).
tcf(c_84464,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK58),X1),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_83219,c_193]) ).
tcf(c_84465,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK58),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(superposition,[status(thm)],[c_83219,c_186]) ).
tcf(c_84466,plain,
! [X0: $i] :
( memberP(cons(sK60,sK58),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(superposition,[status(thm)],[c_83219,c_166]) ).
tcf(c_84467,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK58) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_83219,c_42471]) ).
tcf(c_84468,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK60,sK58) != sK58 ) ),
inference(superposition,[status(thm)],[c_83219,c_25207]) ).
tcf(c_84469,plain,
( segmentP(cons(sK60,sK58),cons(sK57,sK59))
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_83219,c_73177]) ).
tcf(c_84470,plain,
( segmentP(cons(sK60,sK58),nil)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_83219,c_73180]) ).
tcf(c_84471,plain,
( segmentP(cons(sK60,sK58),sK59)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_83219,c_73174]) ).
tcf(c_84472,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK58),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_83219,c_26887]) ).
tcf(c_84473,plain,
segmentP(cons(sK60,sK58),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_84471,c_8915]) ).
tcf(c_84474,plain,
segmentP(cons(sK60,sK58),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_84470,c_8915]) ).
tcf(c_84475,plain,
segmentP(cons(sK60,sK58),cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_84469,c_8915]) ).
tcf(c_84476,plain,
ssList(cons(sK60,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_84459,c_18245,c_8915]) ).
tcf(c_84477,plain,
rearsegP(cons(sK60,sK58),sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_84458,c_18245,c_8915]) ).
tcf(c_84478,plain,
frontsegP(cons(sK60,sK58),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_84457,c_18245,c_8915]) ).
tcf(c_84479,plain,
cons(sK60,sK58) != sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_84468,c_18255,c_18245]) ).
tcf(c_84480,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84472,c_8915]) ).
tcf(c_84484,plain,
( ( iPr_def_10 = iPr_def_11 )
| ( cons(sK57,sK58) != cons(sK60,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84467,c_18245]) ).
tcf(c_84490,plain,
cons(sK60,sK58) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_84455,c_18255,c_18245,c_8915]) ).
tcf(c_84491,plain,
! [X0: $i] :
( memberP(cons(sK60,sK58),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84466,c_18245,c_8915]) ).
tcf(c_84495,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84465,c_18245,c_8915]) ).
tcf(c_84499,plain,
! [X0: $i] :
( memberP(cons(sK60,sK58),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84463,c_18245,c_8915]) ).
tcf(c_84503,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84462,c_18245,c_8915]) ).
tcf(c_84507,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK58,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84454,c_18245,c_8915]) ).
tcf(c_84512,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK60,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84461,c_18245,c_8915]) ).
tcf(c_84516,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,sK58) != cons(sK60,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84460,c_18245,c_8915]) ).
tcf(c_84520,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK58),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84464,c_18245,c_8915]) ).
tcf(c_84525,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK58),X0),sK58)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK58),X0)) ),
inference(light_normalisation,[status(thm)],[c_84451,c_83219]) ).
tcf(c_84526,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK58),X0),sK58)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK58),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84525,c_18245,c_8915]) ).
tcf(c_84615,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK60,sK58)) = app(X0,app(X1,cons(sK60,sK58))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84476,c_228]) ).
tcf(c_84616,plain,
cons(sK60,cons(sK60,sK58)) = app(iPr_def_10,cons(sK60,sK58)),
inference(superposition,[status(thm)],[c_84476,c_18957]) ).
tcf(c_84617,plain,
app(sK12(cons(sK60,sK58),nil),nil) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84476,c_18312]) ).
tcf(c_84618,plain,
app(sK12(cons(sK60,sK58),cons(sK60,sK58)),cons(sK60,sK58)) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84476,c_18284]) ).
tcf(c_84619,plain,
app(nil,sK11(cons(sK60,sK58),nil)) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84476,c_17822]) ).
tcf(c_84620,plain,
app(app(sK58,cons(sK60,sK58)),sK58) = app(sK58,app(cons(sK60,sK58),sK58)),
inference(superposition,[status(thm)],[c_84476,c_74272]) ).
tcf(c_84621,plain,
app(cons(sK60,sK58),sK11(cons(sK60,sK58),cons(sK60,sK58))) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84476,c_17782]) ).
tcf(c_84622,plain,
app(app(sK59,cons(sK60,sK58)),sK58) = app(sK59,app(cons(sK60,sK58),sK58)),
inference(superposition,[status(thm)],[c_84476,c_74271]) ).
tcf(c_84623,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK58),X0),sK58) = app(cons(sK60,sK58),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84476,c_22630]) ).
tcf(c_84624,plain,
cons(sK57,cons(sK60,sK58)) = app(iPr_def_11,cons(sK60,sK58)),
inference(superposition,[status(thm)],[c_84476,c_16606]) ).
tcf(c_84625,plain,
app(app(sK56,cons(sK60,sK58)),sK59) = app(sK56,app(cons(sK60,sK58),sK59)),
inference(superposition,[status(thm)],[c_84476,c_63530]) ).
tcf(c_84626,plain,
app(app(sK58,cons(sK60,sK58)),sK59) = app(sK58,app(cons(sK60,sK58),sK59)),
inference(superposition,[status(thm)],[c_84476,c_63529]) ).
tcf(c_84627,plain,
app(app(sK59,cons(sK60,sK58)),sK59) = app(sK59,app(cons(sK60,sK58),sK59)),
inference(superposition,[status(thm)],[c_84476,c_63528]) ).
tcf(c_84628,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK58),X0),sK59) = app(cons(sK60,sK58),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84476,c_22629]) ).
tcf(c_84629,plain,
hd(app(iPr_def_11,cons(sK60,sK58))) = sK57,
inference(superposition,[status(thm)],[c_84476,c_19198]) ).
tcf(c_84630,plain,
hd(cons(sK60,cons(sK60,sK58))) = sK60,
inference(superposition,[status(thm)],[c_84476,c_18952]) ).
tcf(c_84631,plain,
tl(cons(sK60,cons(sK60,sK58))) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84476,c_18951]) ).
tcf(c_84632,plain,
cons(sK57,app(cons(sK60,sK58),sK56)) = app(cons(sK57,cons(sK60,sK58)),sK56),
inference(superposition,[status(thm)],[c_84476,c_37365]) ).
tcf(c_84633,plain,
tl(cons(sK7,cons(sK60,sK58))) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84476,c_13978]) ).
tcf(c_84634,plain,
tl(cons(sK6,cons(sK60,sK58))) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84476,c_13977]) ).
tcf(c_84635,plain,
cons(sK57,app(cons(sK60,sK58),sK58)) = app(cons(sK57,cons(sK60,sK58)),sK58),
inference(superposition,[status(thm)],[c_84476,c_37364]) ).
tcf(c_84636,plain,
hd(cons(sK7,cons(sK60,sK58))) = sK7,
inference(superposition,[status(thm)],[c_84476,c_13802]) ).
tcf(c_84637,plain,
hd(cons(sK6,cons(sK60,sK58))) = sK6,
inference(superposition,[status(thm)],[c_84476,c_13801]) ).
tcf(c_84638,plain,
cons(sK57,app(cons(sK60,sK58),sK59)) = app(cons(sK57,cons(sK60,sK58)),sK59),
inference(superposition,[status(thm)],[c_84476,c_37363]) ).
tcf(c_84639,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK60,sK58))) = app(cons(sK57,X0),cons(sK60,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84476,c_22147]) ).
tcf(c_84640,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK60,sK58)) = tl(app(sK56,cons(sK60,sK58))) ) ),
inference(superposition,[status(thm)],[c_84476,c_21660]) ).
tcf(c_84641,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK60,sK58)) = tl(app(sK58,cons(sK60,sK58))) ) ),
inference(superposition,[status(thm)],[c_84476,c_21659]) ).
tcf(c_84642,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK60,sK58)) = tl(app(sK59,cons(sK60,sK58))) ) ),
inference(superposition,[status(thm)],[c_84476,c_21658]) ).
tcf(c_84643,plain,
( duplicatefreeP(cons(sK60,sK58))
| ( app(app(sK42(cons(sK60,sK58)),cons(sK40(cons(sK60,sK58)),sK43(cons(sK60,sK58)))),cons(sK41(cons(sK60,sK58)),sK44(cons(sK60,sK58)))) = cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_84476,c_124]) ).
tcf(c_84644,plain,
( strictorderedP(cons(sK60,sK58))
| ( app(app(sK37(cons(sK60,sK58)),cons(sK35(cons(sK60,sK58)),sK38(cons(sK60,sK58)))),cons(sK36(cons(sK60,sK58)),sK39(cons(sK60,sK58)))) = cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_84476,c_116]) ).
tcf(c_84645,plain,
( totalorderedP(cons(sK60,sK58))
| ( app(app(sK32(cons(sK60,sK58)),cons(sK30(cons(sK60,sK58)),sK33(cons(sK60,sK58)))),cons(sK31(cons(sK60,sK58)),sK34(cons(sK60,sK58)))) = cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_84476,c_108]) ).
tcf(c_84646,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK60,sK58))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_84476,c_19187]) ).
tcf(c_84647,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = nil )
| ( app(tl(cons(sK60,sK58)),X0) = tl(app(cons(sK60,sK58),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84476,c_234]) ).
tcf(c_84648,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK60,sK58))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_84476,c_19186]) ).
tcf(c_84649,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK60,sK58))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_84476,c_19185]) ).
tcf(c_84650,plain,
( equalelemsP(cons(sK60,sK58))
| ( app(sK47(cons(sK60,sK58)),cons(sK45(cons(sK60,sK58)),cons(sK46(cons(sK60,sK58)),sK48(cons(sK60,sK58))))) = cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_84476,c_132]) ).
tcf(c_84651,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = nil )
| ( hd(app(cons(sK60,sK58),X0)) = hd(cons(sK60,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84476,c_233]) ).
tcf(c_84652,plain,
( ( cons(sK60,sK58) = nil )
| ( cons(hd(cons(sK60,sK58)),tl(cons(sK60,sK58))) = cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_84476,c_224]) ).
tcf(c_84653,plain,
( ( cons(sK60,sK58) = nil )
| ( cons(sK50(cons(sK60,sK58)),sK49(cons(sK60,sK58))) = cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_84476,c_147]) ).
tcf(c_84654,plain,
tl(cons(sK57,cons(sK60,sK58))) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84476,c_13997]) ).
tcf(c_84655,plain,
hd(cons(sK57,cons(sK60,sK58))) = sK57,
inference(superposition,[status(thm)],[c_84476,c_13821]) ).
tcf(c_84656,plain,
( ( cons(sK60,sK58) = nil )
| ( tl(cons(sK60,sK58)) = sK52(cons(sK60,sK58)) ) ),
inference(superposition,[status(thm)],[c_84476,c_222]) ).
tcf(c_84657,plain,
( ( cons(sK60,sK58) = nil )
| ( hd(cons(sK60,sK58)) = sK51(cons(sK60,sK58)) ) ),
inference(superposition,[status(thm)],[c_84476,c_220]) ).
tcf(c_84658,plain,
( duplicatefreeP(cons(sK60,sK58))
| ( sK40(cons(sK60,sK58)) = sK41(cons(sK60,sK58)) ) ),
inference(superposition,[status(thm)],[c_84476,c_123]) ).
tcf(c_84659,plain,
app(cons(sK60,sK58),nil) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84476,c_232]) ).
tcf(c_84660,plain,
app(nil,cons(sK60,sK58)) = cons(sK60,sK58),
inference(superposition,[status(thm)],[c_84476,c_155]) ).
tcf(c_84669,plain,
( ( cons(sK60,sK58) = nil )
| ( sK51(cons(sK60,sK58)) = sK60 ) ),
inference(light_normalisation,[status(thm)],[c_84657,c_50952]) ).
tcf(c_84672,plain,
( ( cons(sK60,sK58) = nil )
| ( sK52(cons(sK60,sK58)) = sK58 ) ),
inference(light_normalisation,[status(thm)],[c_84656,c_50397]) ).
tcf(c_84690,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = nil )
| ( hd(app(cons(sK60,sK58),X0)) = sK60 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_84651,c_50952]) ).
tcf(c_84697,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = nil )
| ( tl(app(cons(sK60,sK58),X0)) = app(sK58,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_84647,c_50397]) ).
tcf(c_84817,plain,
( ( app(app(sK13(cons(sK60,sK58),sK59),sK59),sK14(cons(sK60,sK58),sK59)) = cons(sK60,sK58) )
| ~ ssList(sK59)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84473,c_70]) ).
tcf(c_84818,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK58),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84473,c_190]) ).
tcf(c_84819,plain,
( ( cons(sK60,sK58) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK60,sK58))
| ~ segmentP(sK59,cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84473,c_191]) ).
tcf(c_84820,plain,
( ( cons(sK60,sK58) = sK59 )
| ~ segmentP(sK59,cons(sK60,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84819,c_8916,c_84476]) ).
tcf(c_84824,plain,
app(app(sK13(cons(sK60,sK58),sK59),sK59),sK14(cons(sK60,sK58),sK59)) = cons(sK60,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_84817,c_8916,c_84476]) ).
tcf(c_84825,plain,
( ( app(app(sK13(cons(sK60,sK58),nil),nil),sK14(cons(sK60,sK58),nil)) = cons(sK60,sK58) )
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84474,c_70]) ).
tcf(c_84826,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK58),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84474,c_190]) ).
tcf(c_84827,plain,
( ( cons(sK60,sK58) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK58))
| ~ segmentP(nil,cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84474,c_191]) ).
tcf(c_84828,plain,
( ( cons(sK60,sK58) = nil )
| ~ segmentP(nil,cons(sK60,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84827,c_141,c_84476]) ).
tcf(c_84831,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84826,c_141,c_84476]) ).
tcf(c_84835,plain,
app(app(sK13(cons(sK60,sK58),nil),nil),sK14(cons(sK60,sK58),nil)) = cons(sK60,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_84825,c_141,c_84476]) ).
tcf(c_84842,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( app(sK59,iPr_def_11) = nil )
| ( app(sK59,iPr_def_11) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,iPr_def_11))
| ( hd(X0) != hd(sK59) )
| ( tl(app(sK59,iPr_def_11)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_20462,c_223]) ).
tcf(c_84843,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK59,iPr_def_11)))
| ( nil = sK59 )
| ( app(sK59,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK59,iPr_def_11))
| ~ ssList(app(sK59,iPr_def_11))
| ~ lt(X0,hd(sK59)) ),
inference(superposition,[status(thm)],[c_20462,c_212]) ).
tcf(c_84844,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK59,iPr_def_11)))
| ( nil = sK59 )
| ( app(sK59,iPr_def_11) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK59,iPr_def_11))
| ~ ssList(app(sK59,iPr_def_11))
| ~ leq(X0,hd(sK59)) ),
inference(superposition,[status(thm)],[c_20462,c_206]) ).
tcf(c_84869,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK58),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84477,c_183]) ).
tcf(c_84870,plain,
( ( cons(sK60,sK58) = sK58 )
| ~ ssList(sK58)
| ~ ssList(cons(sK60,sK58))
| ~ rearsegP(sK58,cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84477,c_184]) ).
tcf(c_84871,plain,
( ( app(sK12(cons(sK60,sK58),sK58),sK58) = cons(sK60,sK58) )
| ~ ssList(sK58)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84477,c_66]) ).
tcf(c_84872,plain,
app(sK12(cons(sK60,sK58),sK58),sK58) = cons(sK60,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_84871,c_8915,c_84476]) ).
tcf(c_84873,plain,
( ( cons(sK60,sK58) = sK58 )
| ~ rearsegP(sK58,cons(sK60,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84870,c_8915,c_84476]) ).
tcf(c_84877,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK58),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84478,c_173]) ).
tcf(c_84878,plain,
( ( cons(sK60,sK58) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,sK58))
| ~ frontsegP(iPr_def_10,cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84478,c_174]) ).
tcf(c_84879,plain,
( ( app(iPr_def_10,sK11(cons(sK60,sK58),iPr_def_10)) = cons(sK60,sK58) )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84478,c_63]) ).
tcf(c_84880,plain,
app(iPr_def_10,sK11(cons(sK60,sK58),iPr_def_10)) = cons(sK60,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_84879,c_18245,c_84476]) ).
tcf(c_84881,plain,
( ( cons(sK60,sK58) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,cons(sK60,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84878,c_18245,c_84476]) ).
tcf(c_84885,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK56),X0),sK56)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_10,sK56),X0)) ),
inference(superposition,[status(thm)],[c_83220,c_67]) ).
tcf(c_84888,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK56,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK56),X0) ),
inference(superposition,[status(thm)],[c_83220,c_167]) ).
tcf(c_84889,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ( cons(sK60,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_83220,c_231]) ).
tcf(c_84890,plain,
( ( nil = sK56 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ( cons(sK60,sK56) != nil ) ),
inference(superposition,[status(thm)],[c_83220,c_230]) ).
tcf(c_84891,plain,
( frontsegP(cons(sK60,sK56),iPr_def_10)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_83220,c_382]) ).
tcf(c_84892,plain,
( rearsegP(cons(sK60,sK56),sK56)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_83220,c_379]) ).
tcf(c_84893,plain,
( ssList(cons(sK60,sK56))
| ~ ssList(iPr_def_10)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_83220,c_153]) ).
tcf(c_84894,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X0)
| ( app(X0,sK56) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_83220,c_225]) ).
tcf(c_84895,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_83220,c_226]) ).
tcf(c_84896,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK56),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_83220,c_176]) ).
tcf(c_84897,plain,
! [X0: $i] :
( memberP(cons(sK60,sK56),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_83220,c_165]) ).
tcf(c_84898,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK56),X1),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_83220,c_193]) ).
tcf(c_84899,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK56),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(superposition,[status(thm)],[c_83220,c_186]) ).
tcf(c_84900,plain,
! [X0: $i] :
( memberP(cons(sK60,sK56),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(superposition,[status(thm)],[c_83220,c_166]) ).
tcf(c_84901,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ ssList(iPr_def_10)
| ( cons(sK57,sK56) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_83220,c_45754]) ).
tcf(c_84902,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK60,sK56) != sK56 ) ),
inference(superposition,[status(thm)],[c_83220,c_25203]) ).
tcf(c_84903,plain,
( segmentP(cons(sK60,sK56),cons(sK57,sK59))
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_83220,c_73177]) ).
tcf(c_84904,plain,
( segmentP(cons(sK60,sK56),nil)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_83220,c_73180]) ).
tcf(c_84905,plain,
( segmentP(cons(sK60,sK56),sK59)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_83220,c_73174]) ).
tcf(c_84906,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_83220,c_26887]) ).
tcf(c_84907,plain,
segmentP(cons(sK60,sK56),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_84905,c_8907]) ).
tcf(c_84908,plain,
segmentP(cons(sK60,sK56),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_84904,c_8907]) ).
tcf(c_84909,plain,
segmentP(cons(sK60,sK56),cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_84903,c_8907]) ).
tcf(c_84910,plain,
ssList(cons(sK60,sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_84893,c_18245,c_8907]) ).
tcf(c_84911,plain,
rearsegP(cons(sK60,sK56),sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_84892,c_18245,c_8907]) ).
tcf(c_84912,plain,
frontsegP(cons(sK60,sK56),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_84891,c_18245,c_8907]) ).
tcf(c_84913,plain,
cons(sK60,sK56) != sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_84902,c_18255,c_18245]) ).
tcf(c_84914,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84906,c_8907]) ).
tcf(c_84918,plain,
( ( iPr_def_10 = iPr_def_11 )
| ( cons(sK57,sK56) != cons(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84901,c_18245]) ).
tcf(c_84924,plain,
cons(sK60,sK56) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_84889,c_18255,c_18245,c_8907]) ).
tcf(c_84925,plain,
! [X0: $i] :
( memberP(cons(sK60,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84900,c_18245,c_8907]) ).
tcf(c_84929,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84899,c_18245,c_8907]) ).
tcf(c_84933,plain,
! [X0: $i] :
( memberP(cons(sK60,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84897,c_18245,c_8907]) ).
tcf(c_84937,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84896,c_18245,c_8907]) ).
tcf(c_84941,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK56,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84888,c_18245,c_8907]) ).
tcf(c_84946,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84895,c_18245,c_8907]) ).
tcf(c_84950,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,sK56) != cons(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84894,c_18245,c_8907]) ).
tcf(c_84954,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK56),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84898,c_18245,c_8907]) ).
tcf(c_84959,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK56),X0),sK56)
| ~ ssList(iPr_def_10)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK56),X0)) ),
inference(light_normalisation,[status(thm)],[c_84885,c_83220]) ).
tcf(c_84960,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK56),X0),sK56)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84959,c_18245,c_8907]) ).
tcf(c_84973,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK60,sK56)) = app(X0,app(X1,cons(sK60,sK56))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84910,c_228]) ).
tcf(c_84974,plain,
cons(sK60,cons(sK60,sK56)) = app(iPr_def_10,cons(sK60,sK56)),
inference(superposition,[status(thm)],[c_84910,c_18957]) ).
tcf(c_84975,plain,
app(sK12(cons(sK60,sK56),nil),nil) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_84910,c_18312]) ).
tcf(c_84976,plain,
app(sK12(cons(sK60,sK56),cons(sK60,sK56)),cons(sK60,sK56)) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_84910,c_18284]) ).
tcf(c_84977,plain,
app(nil,sK11(cons(sK60,sK56),nil)) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_84910,c_17822]) ).
tcf(c_84978,plain,
app(app(sK58,cons(sK60,sK56)),sK58) = app(sK58,app(cons(sK60,sK56),sK58)),
inference(superposition,[status(thm)],[c_84910,c_74272]) ).
tcf(c_84979,plain,
app(cons(sK60,sK56),sK11(cons(sK60,sK56),cons(sK60,sK56))) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_84910,c_17782]) ).
tcf(c_84980,plain,
app(app(sK59,cons(sK60,sK56)),sK58) = app(sK59,app(cons(sK60,sK56),sK58)),
inference(superposition,[status(thm)],[c_84910,c_74271]) ).
tcf(c_84981,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK56),X0),sK58) = app(cons(sK60,sK56),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84910,c_22630]) ).
tcf(c_84982,plain,
cons(sK57,cons(sK60,sK56)) = app(iPr_def_11,cons(sK60,sK56)),
inference(superposition,[status(thm)],[c_84910,c_16606]) ).
tcf(c_84983,plain,
app(app(sK56,cons(sK60,sK56)),sK59) = app(sK56,app(cons(sK60,sK56),sK59)),
inference(superposition,[status(thm)],[c_84910,c_63530]) ).
tcf(c_84984,plain,
app(app(sK58,cons(sK60,sK56)),sK59) = app(sK58,app(cons(sK60,sK56),sK59)),
inference(superposition,[status(thm)],[c_84910,c_63529]) ).
tcf(c_84985,plain,
app(app(sK59,cons(sK60,sK56)),sK59) = app(sK59,app(cons(sK60,sK56),sK59)),
inference(superposition,[status(thm)],[c_84910,c_63528]) ).
tcf(c_84986,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK56),X0),sK59) = app(cons(sK60,sK56),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84910,c_22629]) ).
tcf(c_84987,plain,
hd(app(iPr_def_11,cons(sK60,sK56))) = sK57,
inference(superposition,[status(thm)],[c_84910,c_19198]) ).
tcf(c_84988,plain,
hd(cons(sK60,cons(sK60,sK56))) = sK60,
inference(superposition,[status(thm)],[c_84910,c_18952]) ).
tcf(c_84989,plain,
tl(cons(sK60,cons(sK60,sK56))) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_84910,c_18951]) ).
tcf(c_84990,plain,
cons(sK57,app(cons(sK60,sK56),sK56)) = app(cons(sK57,cons(sK60,sK56)),sK56),
inference(superposition,[status(thm)],[c_84910,c_37365]) ).
tcf(c_84991,plain,
tl(cons(sK7,cons(sK60,sK56))) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_84910,c_13978]) ).
tcf(c_84992,plain,
tl(cons(sK6,cons(sK60,sK56))) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_84910,c_13977]) ).
tcf(c_84993,plain,
cons(sK57,app(cons(sK60,sK56),sK58)) = app(cons(sK57,cons(sK60,sK56)),sK58),
inference(superposition,[status(thm)],[c_84910,c_37364]) ).
tcf(c_84994,plain,
hd(cons(sK7,cons(sK60,sK56))) = sK7,
inference(superposition,[status(thm)],[c_84910,c_13802]) ).
tcf(c_84995,plain,
hd(cons(sK6,cons(sK60,sK56))) = sK6,
inference(superposition,[status(thm)],[c_84910,c_13801]) ).
tcf(c_84996,plain,
cons(sK57,app(cons(sK60,sK56),sK59)) = app(cons(sK57,cons(sK60,sK56)),sK59),
inference(superposition,[status(thm)],[c_84910,c_37363]) ).
tcf(c_84997,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK60,sK56))) = app(cons(sK57,X0),cons(sK60,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84910,c_22147]) ).
tcf(c_84998,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK60,sK56)) = tl(app(sK56,cons(sK60,sK56))) ) ),
inference(superposition,[status(thm)],[c_84910,c_21660]) ).
tcf(c_84999,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK60,sK56)) = tl(app(sK58,cons(sK60,sK56))) ) ),
inference(superposition,[status(thm)],[c_84910,c_21659]) ).
tcf(c_85000,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK60,sK56)) = tl(app(sK59,cons(sK60,sK56))) ) ),
inference(superposition,[status(thm)],[c_84910,c_21658]) ).
tcf(c_85001,plain,
( duplicatefreeP(cons(sK60,sK56))
| ( app(app(sK42(cons(sK60,sK56)),cons(sK40(cons(sK60,sK56)),sK43(cons(sK60,sK56)))),cons(sK41(cons(sK60,sK56)),sK44(cons(sK60,sK56)))) = cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_84910,c_124]) ).
tcf(c_85002,plain,
( strictorderedP(cons(sK60,sK56))
| ( app(app(sK37(cons(sK60,sK56)),cons(sK35(cons(sK60,sK56)),sK38(cons(sK60,sK56)))),cons(sK36(cons(sK60,sK56)),sK39(cons(sK60,sK56)))) = cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_84910,c_116]) ).
tcf(c_85003,plain,
( totalorderedP(cons(sK60,sK56))
| ( app(app(sK32(cons(sK60,sK56)),cons(sK30(cons(sK60,sK56)),sK33(cons(sK60,sK56)))),cons(sK31(cons(sK60,sK56)),sK34(cons(sK60,sK56)))) = cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_84910,c_108]) ).
tcf(c_85004,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK60,sK56))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_84910,c_19187]) ).
tcf(c_85005,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = nil )
| ( app(tl(cons(sK60,sK56)),X0) = tl(app(cons(sK60,sK56),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84910,c_234]) ).
tcf(c_85006,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK60,sK56))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_84910,c_19186]) ).
tcf(c_85007,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK60,sK56))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_84910,c_19185]) ).
tcf(c_85008,plain,
( equalelemsP(cons(sK60,sK56))
| ( app(sK47(cons(sK60,sK56)),cons(sK45(cons(sK60,sK56)),cons(sK46(cons(sK60,sK56)),sK48(cons(sK60,sK56))))) = cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_84910,c_132]) ).
tcf(c_85009,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = nil )
| ( hd(app(cons(sK60,sK56),X0)) = hd(cons(sK60,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84910,c_233]) ).
tcf(c_85010,plain,
( ( cons(sK60,sK56) = nil )
| ( cons(hd(cons(sK60,sK56)),tl(cons(sK60,sK56))) = cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_84910,c_224]) ).
tcf(c_85011,plain,
( ( cons(sK60,sK56) = nil )
| ( cons(sK50(cons(sK60,sK56)),sK49(cons(sK60,sK56))) = cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_84910,c_147]) ).
tcf(c_85012,plain,
tl(cons(sK57,cons(sK60,sK56))) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_84910,c_13997]) ).
tcf(c_85013,plain,
hd(cons(sK57,cons(sK60,sK56))) = sK57,
inference(superposition,[status(thm)],[c_84910,c_13821]) ).
tcf(c_85014,plain,
( ( cons(sK60,sK56) = nil )
| ( tl(cons(sK60,sK56)) = sK52(cons(sK60,sK56)) ) ),
inference(superposition,[status(thm)],[c_84910,c_222]) ).
tcf(c_85015,plain,
( ( cons(sK60,sK56) = nil )
| ( hd(cons(sK60,sK56)) = sK51(cons(sK60,sK56)) ) ),
inference(superposition,[status(thm)],[c_84910,c_220]) ).
tcf(c_85016,plain,
( duplicatefreeP(cons(sK60,sK56))
| ( sK40(cons(sK60,sK56)) = sK41(cons(sK60,sK56)) ) ),
inference(superposition,[status(thm)],[c_84910,c_123]) ).
tcf(c_85017,plain,
app(cons(sK60,sK56),nil) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_84910,c_232]) ).
tcf(c_85018,plain,
app(nil,cons(sK60,sK56)) = cons(sK60,sK56),
inference(superposition,[status(thm)],[c_84910,c_155]) ).
tcf(c_85027,plain,
( ( cons(sK60,sK56) = nil )
| ( sK51(cons(sK60,sK56)) = sK60 ) ),
inference(light_normalisation,[status(thm)],[c_85015,c_50953]) ).
tcf(c_85030,plain,
( ( cons(sK60,sK56) = nil )
| ( sK52(cons(sK60,sK56)) = sK56 ) ),
inference(light_normalisation,[status(thm)],[c_85014,c_50398]) ).
tcf(c_85048,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = nil )
| ( hd(app(cons(sK60,sK56),X0)) = sK60 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_85009,c_50953]) ).
tcf(c_85055,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = nil )
| ( tl(app(cons(sK60,sK56),X0)) = app(sK56,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_85005,c_50398]) ).
tcf(c_85294,plain,
( ( app(app(sK13(cons(sK60,sK56),sK59),sK59),sK14(cons(sK60,sK56),sK59)) = cons(sK60,sK56) )
| ~ ssList(sK59)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84907,c_70]) ).
tcf(c_85295,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK56),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84907,c_190]) ).
tcf(c_85296,plain,
( ( cons(sK60,sK56) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK60,sK56))
| ~ segmentP(sK59,cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84907,c_191]) ).
tcf(c_85297,plain,
( ( cons(sK60,sK56) = sK59 )
| ~ segmentP(sK59,cons(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85296,c_8916,c_84910]) ).
tcf(c_85301,plain,
app(app(sK13(cons(sK60,sK56),sK59),sK59),sK14(cons(sK60,sK56),sK59)) = cons(sK60,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_85294,c_8916,c_84910]) ).
tcf(c_85302,plain,
( ( app(app(sK13(cons(sK60,sK56),nil),nil),sK14(cons(sK60,sK56),nil)) = cons(sK60,sK56) )
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84908,c_70]) ).
tcf(c_85303,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84908,c_190]) ).
tcf(c_85304,plain,
( ( cons(sK60,sK56) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK56))
| ~ segmentP(nil,cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84908,c_191]) ).
tcf(c_85305,plain,
( ( cons(sK60,sK56) = nil )
| ~ segmentP(nil,cons(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85304,c_141,c_84910]) ).
tcf(c_85308,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85303,c_141,c_84910]) ).
tcf(c_85312,plain,
app(app(sK13(cons(sK60,sK56),nil),nil),sK14(cons(sK60,sK56),nil)) = cons(sK60,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_85302,c_141,c_84910]) ).
tcf(c_85313,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84911,c_183]) ).
tcf(c_85314,plain,
( ( cons(sK60,sK56) = sK56 )
| ~ ssList(sK56)
| ~ ssList(cons(sK60,sK56))
| ~ rearsegP(sK56,cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84911,c_184]) ).
tcf(c_85315,plain,
( ( app(sK12(cons(sK60,sK56),sK56),sK56) = cons(sK60,sK56) )
| ~ ssList(sK56)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84911,c_66]) ).
tcf(c_85316,plain,
app(sK12(cons(sK60,sK56),sK56),sK56) = cons(sK60,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_85315,c_8907,c_84910]) ).
tcf(c_85317,plain,
( ( cons(sK60,sK56) = sK56 )
| ~ rearsegP(sK56,cons(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85314,c_8907,c_84910]) ).
tcf(c_85321,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK56),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84912,c_173]) ).
tcf(c_85322,plain,
( ( cons(sK60,sK56) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,sK56))
| ~ frontsegP(iPr_def_10,cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84912,c_174]) ).
tcf(c_85323,plain,
( ( app(iPr_def_10,sK11(cons(sK60,sK56),iPr_def_10)) = cons(sK60,sK56) )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84912,c_63]) ).
tcf(c_85324,plain,
app(iPr_def_10,sK11(cons(sK60,sK56),iPr_def_10)) = cons(sK60,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_85323,c_18245,c_84910]) ).
tcf(c_85325,plain,
( ( cons(sK60,sK56) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,cons(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85322,c_18245,c_84910]) ).
tcf(c_85329,plain,
( ( app(app(sK13(cons(sK60,sK58),cons(sK57,sK59)),cons(sK57,sK59)),sK14(cons(sK60,sK58),cons(sK57,sK59))) = cons(sK60,sK58) )
| ~ ssList(cons(sK60,sK58))
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_84475,c_70]) ).
tcf(c_85330,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK58))
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_84475,c_190]) ).
tcf(c_85331,plain,
( ( cons(sK57,sK59) = cons(sK60,sK58) )
| ~ ssList(cons(sK60,sK58))
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(cons(sK57,sK59),cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84475,c_191]) ).
tcf(c_85332,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85330,c_84476,c_38491]) ).
tcf(c_85336,plain,
( ( cons(sK57,sK59) = cons(sK60,sK58) )
| ~ segmentP(cons(sK57,sK59),cons(sK60,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85331,c_84476,c_38491]) ).
tcf(c_85339,plain,
app(app(sK13(cons(sK60,sK58),cons(sK57,sK59)),cons(sK57,sK59)),sK14(cons(sK60,sK58),cons(sK57,sK59))) = cons(sK60,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_85329,c_84476,c_38491]) ).
tcf(c_85340,plain,
( ( app(app(sK13(cons(sK60,sK56),cons(sK57,sK59)),cons(sK57,sK59)),sK14(cons(sK60,sK56),cons(sK57,sK59))) = cons(sK60,sK56) )
| ~ ssList(cons(sK60,sK56))
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_84909,c_70]) ).
tcf(c_85341,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK56))
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_84909,c_190]) ).
tcf(c_85342,plain,
( ( cons(sK57,sK59) = cons(sK60,sK56) )
| ~ ssList(cons(sK60,sK56))
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(cons(sK57,sK59),cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84909,c_191]) ).
tcf(c_85343,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85341,c_84910,c_38491]) ).
tcf(c_85347,plain,
( ( cons(sK57,sK59) = cons(sK60,sK56) )
| ~ segmentP(cons(sK57,sK59),cons(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85342,c_84910,c_38491]) ).
tcf(c_85350,plain,
app(app(sK13(cons(sK60,sK56),cons(sK57,sK59)),cons(sK57,sK59)),sK14(cons(sK60,sK56),cons(sK57,sK59))) = cons(sK60,sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_85340,c_84910,c_38491]) ).
tcf(c_85355,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_80737,c_183]) ).
tcf(c_85356,plain,
( ( app(sK58,app(sK58,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK58)))
| ~ rearsegP(sK58,app(sK58,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_80737,c_184]) ).
tcf(c_85357,plain,
( ( app(sK12(app(sK58,app(sK58,sK58)),sK58),sK58) = app(sK58,app(sK58,sK58)) )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_80737,c_66]) ).
tcf(c_85359,plain,
( ( app(sK12(app(sK58,app(sK58,sK58)),sK58),sK58) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85357,c_8915]) ).
tcf(c_85363,plain,
( ( app(sK58,app(sK58,sK58)) = sK58 )
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK58)))
| ~ rearsegP(sK58,app(sK58,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85356,c_8915]) ).
tcf(c_85372,plain,
! [X0: $i] :
( rearsegP(app(sK58,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_81558,c_183]) ).
tcf(c_85373,plain,
( ( app(sK58,app(sK56,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK58)))
| ~ rearsegP(sK58,app(sK58,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_81558,c_184]) ).
tcf(c_85374,plain,
( ( app(sK12(app(sK58,app(sK56,sK58)),sK58),sK58) = app(sK58,app(sK56,sK58)) )
| ~ ssList(sK58)
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_81558,c_66]) ).
tcf(c_85376,plain,
( ( app(sK12(app(sK58,app(sK56,sK58)),sK58),sK58) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85374,c_8915]) ).
tcf(c_85380,plain,
( ( app(sK58,app(sK56,sK58)) = sK58 )
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK58)))
| ~ rearsegP(sK58,app(sK58,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85373,c_8915]) ).
tcf(c_85391,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK60,sK59),X0),X0),sK14(cons(sK60,sK59),X0)) = cons(sK60,sK59) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83687,c_70]) ).
tcf(c_85392,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK60,sK59),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83687,c_190]) ).
tcf(c_85393,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK60,sK59))
| ~ segmentP(X0,cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83687,c_191]) ).
tcf(c_85394,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,cons(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85393,c_83680]) ).
tcf(c_85399,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK60,sK59),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85392,c_83680]) ).
tcf(c_85405,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK60,sK59),X0),X0),sK14(cons(sK60,sK59),X0)) = cons(sK60,sK59) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85391,c_83680]) ).
tcf(c_85416,plain,
! [X0: $i] :
( ( app(sK8(cons(sK60,sK59),X0),cons(X0,sK9(cons(sK60,sK59),X0))) = cons(sK60,sK59) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83698,c_57]) ).
tcf(c_85417,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK60,sK59),X0)) = sK8(cons(sK60,sK59),X0) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83698,c_12510]) ).
tcf(c_85419,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK60,sK59),X0)) = sK8(cons(sK60,sK59),X0) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85417,c_83680]) ).
tcf(c_85423,plain,
! [X0: $i] :
( ( app(sK8(cons(sK60,sK59),X0),cons(X0,sK9(cons(sK60,sK59),X0))) = cons(sK60,sK59) )
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85416,c_83680]) ).
tcf(c_85435,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( app(sK59,iPr_def_10) = nil )
| ( app(sK59,iPr_def_10) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,iPr_def_10))
| ( hd(X0) != hd(sK59) )
| ( tl(app(sK59,iPr_def_10)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_20463,c_223]) ).
tcf(c_85436,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK59,iPr_def_10)))
| ( nil = sK59 )
| ( app(sK59,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK59,iPr_def_10))
| ~ ssList(app(sK59,iPr_def_10))
| ~ lt(X0,hd(sK59)) ),
inference(superposition,[status(thm)],[c_20463,c_212]) ).
tcf(c_85437,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK59,iPr_def_10)))
| ( nil = sK59 )
| ( app(sK59,iPr_def_10) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK59,iPr_def_10))
| ~ ssList(app(sK59,iPr_def_10))
| ~ leq(X0,hd(sK59)) ),
inference(superposition,[status(thm)],[c_20463,c_206]) ).
tcf(c_85462,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK59),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK59))
| ~ ssList(app(app(cons(sK60,sK59),nil),X0)) ),
inference(superposition,[status(thm)],[c_84294,c_67]) ).
tcf(c_85468,plain,
( frontsegP(cons(sK60,sK59),cons(sK60,sK59))
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_84294,c_382]) ).
tcf(c_85469,plain,
( rearsegP(cons(sK60,sK59),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_84294,c_379]) ).
tcf(c_85471,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK59))
| ( app(X0,nil) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_84294,c_225]) ).
tcf(c_85472,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK59))
| ( app(cons(sK60,sK59),X0) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_84294,c_226]) ).
tcf(c_85475,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK59),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_84294,c_193]) ).
tcf(c_85476,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_84294,c_186]) ).
tcf(c_85481,plain,
rearsegP(cons(sK60,sK59),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_85469,c_141,c_83680]) ).
tcf(c_85482,plain,
frontsegP(cons(sK60,sK59),cons(sK60,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_85468,c_141,c_83680]) ).
tcf(c_85483,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK59),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85476,c_141,c_83680]) ).
tcf(c_85487,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK59),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85475,c_141,c_83680]) ).
tcf(c_85492,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK60,sK59),X0) != cons(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85472,c_141,c_83680]) ).
tcf(c_85496,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85471,c_141,c_83680]) ).
tcf(c_85500,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK59),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK59))
| ~ ssList(app(cons(sK60,sK59),X0)) ),
inference(light_normalisation,[status(thm)],[c_85462,c_84294]) ).
tcf(c_85501,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK59),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85500,c_141,c_83680]) ).
tcf(c_85509,plain,
( ( cons(sK60,sK59) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK59))
| ~ rearsegP(nil,cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_85481,c_184]) ).
tcf(c_85511,plain,
~ rearsegP(nil,cons(sK60,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_85509,c_83697,c_141,c_83680]) ).
tcf(c_85540,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_12),X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_10,iPr_def_12),X0)) ),
inference(superposition,[status(thm)],[c_83221,c_67]) ).
tcf(c_85543,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(iPr_def_10,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_83221,c_167]) ).
tcf(c_85545,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ( cons(sK60,iPr_def_12) != nil ) ),
inference(superposition,[status(thm)],[c_83221,c_230]) ).
tcf(c_85546,plain,
( frontsegP(cons(sK60,iPr_def_12),iPr_def_10)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_83221,c_382]) ).
tcf(c_85547,plain,
( rearsegP(cons(sK60,iPr_def_12),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_83221,c_379]) ).
tcf(c_85548,plain,
( ssList(cons(sK60,iPr_def_12))
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_83221,c_153]) ).
tcf(c_85549,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ( app(X0,iPr_def_12) != cons(sK60,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_83221,c_225]) ).
tcf(c_85550,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK60,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_83221,c_226]) ).
tcf(c_85551,plain,
! [X0: $i] :
( frontsegP(cons(sK60,iPr_def_12),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_83221,c_176]) ).
tcf(c_85552,plain,
! [X0: $i] :
( memberP(cons(sK60,iPr_def_12),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_83221,c_165]) ).
tcf(c_85553,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,iPr_def_12),X1),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_83221,c_193]) ).
tcf(c_85554,plain,
! [X0: $i] :
( rearsegP(cons(sK60,iPr_def_12),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_83221,c_186]) ).
tcf(c_85555,plain,
! [X0: $i] :
( memberP(cons(sK60,iPr_def_12),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_83221,c_166]) ).
tcf(c_85556,plain,
( segmentP(cons(sK60,iPr_def_12),cons(sK57,sK59))
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_83221,c_73177]) ).
tcf(c_85557,plain,
( segmentP(cons(sK60,iPr_def_12),nil)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_83221,c_73180]) ).
tcf(c_85558,plain,
( segmentP(cons(sK60,iPr_def_12),sK59)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_83221,c_73174]) ).
tcf(c_85559,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_12),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_83221,c_26887]) ).
tcf(c_85560,plain,
segmentP(cons(sK60,iPr_def_12),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_85558,c_12842]) ).
tcf(c_85561,plain,
segmentP(cons(sK60,iPr_def_12),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_85557,c_12842]) ).
tcf(c_85562,plain,
segmentP(cons(sK60,iPr_def_12),cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_85556,c_12842]) ).
tcf(c_85563,plain,
ssList(cons(sK60,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_85548,c_12842,c_18245]) ).
tcf(c_85564,plain,
rearsegP(cons(sK60,iPr_def_12),iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_85547,c_12842,c_18245]) ).
tcf(c_85565,plain,
frontsegP(cons(sK60,iPr_def_12),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_85546,c_12842,c_18245]) ).
tcf(c_85566,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_12),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85559,c_12842]) ).
tcf(c_85570,plain,
cons(sK60,iPr_def_12) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_85545,c_17651,c_12842,c_18245]) ).
tcf(c_85571,plain,
! [X0: $i] :
( memberP(cons(sK60,iPr_def_12),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85555,c_12842,c_18245]) ).
tcf(c_85575,plain,
! [X0: $i] :
( rearsegP(cons(sK60,iPr_def_12),X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85554,c_12842,c_18245]) ).
tcf(c_85579,plain,
! [X0: $i] :
( memberP(cons(sK60,iPr_def_12),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85552,c_12842,c_18245]) ).
tcf(c_85583,plain,
! [X0: $i] :
( frontsegP(cons(sK60,iPr_def_12),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85551,c_12842,c_18245]) ).
tcf(c_85587,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85543,c_12842,c_18245]) ).
tcf(c_85592,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK60,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85550,c_12842,c_18245]) ).
tcf(c_85596,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,iPr_def_12) != cons(sK60,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85549,c_12842,c_18245]) ).
tcf(c_85600,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,iPr_def_12),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85553,c_12842,c_18245]) ).
tcf(c_85605,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_12),X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,iPr_def_12),X0)) ),
inference(light_normalisation,[status(thm)],[c_85540,c_83221]) ).
tcf(c_85606,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_12),X0),iPr_def_12)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,iPr_def_12),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85605,c_12842,c_18245]) ).
tcf(c_85750,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK60,sK59),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83702,c_183]) ).
tcf(c_85751,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK60,sK59))
| ~ rearsegP(X0,cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83702,c_184]) ).
tcf(c_85752,plain,
! [X0: $i] :
( ( app(sK12(cons(sK60,sK59),X0),X0) = cons(sK60,sK59) )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83702,c_66]) ).
tcf(c_85753,plain,
! [X0: $i] :
( ( app(sK12(cons(sK60,sK59),X0),X0) = cons(sK60,sK59) )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85752,c_83680]) ).
tcf(c_85757,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,cons(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85751,c_83680]) ).
tcf(c_85762,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK60,sK59),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85750,c_83680]) ).
tcf(c_85774,plain,
! [X0: $i] :
( ( app(sK8(cons(sK60,sK59),X0),cons(X0,sK9(cons(sK60,sK59),X0))) = cons(sK60,sK59) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83706,c_57]) ).
tcf(c_85775,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK60,sK59),X0)) = sK8(cons(sK60,sK59),X0) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83706,c_12510]) ).
tcf(c_85776,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ( X0 = sK60 )
| ~ ssList(sK59)
| ~ ssItem(sK60)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_83706,c_170]) ).
tcf(c_85777,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ( X0 = sK60 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85776,c_8916,c_18252]) ).
tcf(c_85782,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK60,sK59),X0)) = sK8(cons(sK60,sK59),X0) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85775,c_83680]) ).
tcf(c_85786,plain,
! [X0: $i] :
( ( app(sK8(cons(sK60,sK59),X0),cons(X0,sK9(cons(sK60,sK59),X0))) = cons(sK60,sK59) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85774,c_83680]) ).
tcf(c_85799,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK60,sK59),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83710,c_173]) ).
tcf(c_85800,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK60,sK59))
| ~ frontsegP(X0,cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83710,c_174]) ).
tcf(c_85801,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK60,sK59),X0)) = cons(sK60,sK59) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_83710,c_63]) ).
tcf(c_85802,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK60 )
| ~ ssList(sK59)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_83710,c_178]) ).
tcf(c_85803,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK59,X1)
| ~ ssList(sK59)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_83710,c_179]) ).
tcf(c_85804,plain,
( ( sK57 = sK60 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssItem(sK60)
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_83710,c_27471]) ).
tcf(c_85806,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK60,sK59),X0)) = cons(sK60,sK59) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85801,c_83680]) ).
tcf(c_85810,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,cons(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85800,c_83680]) ).
tcf(c_85815,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK60,sK59),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85799,c_83680]) ).
tcf(c_85821,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK59,X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85803,c_8916,c_18252]) ).
tcf(c_85827,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85802,c_8916,c_18252]) ).
tcf(c_86058,plain,
~ segmentP(sK59,cons(sK60,sK59)),
inference(global_subsumption_just,[status(thm)],[c_84408,c_83683,c_84408]) ).
tcf(c_86060,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK59),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK59),sK59))
| ~ ssList(app(app(sK12(cons(sK60,sK59),sK59),sK59),X0)) ),
inference(superposition,[status(thm)],[c_84427,c_67]) ).
tcf(c_86063,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK12(cons(sK60,sK59),sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK59),X0)
| ~ ssList(sK12(cons(sK60,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_84427,c_167]) ).
tcf(c_86066,plain,
( frontsegP(cons(sK60,sK59),sK12(cons(sK60,sK59),sK59))
| ~ ssList(sK59)
| ~ ssList(sK12(cons(sK60,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_84427,c_382]) ).
tcf(c_86069,plain,
! [X0: $i] :
( ( sK12(cons(sK60,sK59),sK59) = X0 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK59),sK59))
| ( app(X0,sK59) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_84427,c_225]) ).
tcf(c_86070,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK59),sK59))
| ( app(sK12(cons(sK60,sK59),sK59),X0) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_84427,c_226]) ).
tcf(c_86071,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK59),sK59))
| ~ frontsegP(sK12(cons(sK60,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_84427,c_176]) ).
tcf(c_86072,plain,
! [X0: $i] :
( memberP(cons(sK60,sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK60,sK59),sK59))
| ~ memberP(sK12(cons(sK60,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_84427,c_165]) ).
tcf(c_86073,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK59),X1),X0)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(sK12(cons(sK60,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_84427,c_193]) ).
tcf(c_86074,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK59),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0)
| ~ ssList(sK12(cons(sK60,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_84427,c_186]) ).
tcf(c_86075,plain,
! [X0: $i] :
( memberP(cons(sK60,sK59),X0)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK12(cons(sK60,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_84427,c_166]) ).
tcf(c_86076,plain,
( ( sK12(cons(sK60,sK59),sK59) = iPr_def_11 )
| ~ ssList(sK12(cons(sK60,sK59),sK59))
| ( cons(sK57,sK59) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_84427,c_38527]) ).
tcf(c_86077,plain,
( ( sK12(cons(sK60,sK59),sK59) = iPr_def_12 )
| ~ ssList(sK12(cons(sK60,sK59),sK59))
| ( cons(sK60,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_84427,c_25223]) ).
tcf(c_86079,plain,
( frontsegP(cons(sK60,sK59),sK12(cons(sK60,sK59),sK59))
| ~ ssList(sK12(cons(sK60,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86066,c_8916]) ).
tcf(c_86090,plain,
! [X0: $i] :
( memberP(cons(sK60,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK60,sK59),sK59))
| ~ memberP(sK12(cons(sK60,sK59),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86072,c_8916]) ).
tcf(c_86095,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK59),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK59),sK59))
| ~ frontsegP(sK12(cons(sK60,sK59),sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86071,c_8916]) ).
tcf(c_86101,plain,
! [X0: $i] :
( memberP(sK59,X0)
| memberP(sK12(cons(sK60,sK59),sK59),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK59),X0)
| ~ ssList(sK12(cons(sK60,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86063,c_8916]) ).
tcf(c_86107,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK59),sK59))
| ( app(sK12(cons(sK60,sK59),sK59),X0) != cons(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86070,c_8916]) ).
tcf(c_86112,plain,
! [X0: $i] :
( ( sK12(cons(sK60,sK59),sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK59),sK59))
| ( app(X0,sK59) != cons(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86069,c_8916]) ).
tcf(c_86117,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK59),X0),sK59)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK59),sK59))
| ~ ssList(app(cons(sK60,sK59),X0)) ),
inference(light_normalisation,[status(thm)],[c_86060,c_84427]) ).
tcf(c_86118,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK59),X0),sK59)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK59),sK59))
| ~ ssList(app(cons(sK60,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86117,c_8916]) ).
tcf(c_86128,plain,
~ rearsegP(sK59,cons(sK60,sK59)),
inference(global_subsumption_just,[status(thm)],[c_84428,c_83683,c_84428]) ).
tcf(c_86136,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK60,sK58),X0),X0),sK14(cons(sK60,sK58),X0)) = cons(sK60,sK58) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84480,c_70]) ).
tcf(c_86137,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK60,sK58),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84480,c_190]) ).
tcf(c_86138,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK60,sK58))
| ~ segmentP(X0,cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84480,c_191]) ).
tcf(c_86139,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,cons(sK60,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86138,c_84476]) ).
tcf(c_86144,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK60,sK58),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86137,c_84476]) ).
tcf(c_86150,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK60,sK58),X0),X0),sK14(cons(sK60,sK58),X0)) = cons(sK60,sK58) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86136,c_84476]) ).
tcf(c_86161,plain,
! [X0: $i] :
( ( app(sK8(cons(sK60,sK58),X0),cons(X0,sK9(cons(sK60,sK58),X0))) = cons(sK60,sK58) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84491,c_57]) ).
tcf(c_86162,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK60,sK58),X0)) = sK8(cons(sK60,sK58),X0) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84491,c_12510]) ).
tcf(c_86164,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK60,sK58),X0)) = sK8(cons(sK60,sK58),X0) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86162,c_84476]) ).
tcf(c_86168,plain,
! [X0: $i] :
( ( app(sK8(cons(sK60,sK58),X0),cons(X0,sK9(cons(sK60,sK58),X0))) = cons(sK60,sK58) )
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86161,c_84476]) ).
tcf(c_86180,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( app(sK59,tl(sK59)) = nil )
| ( app(sK59,tl(sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,tl(sK59)))
| ( hd(X0) != hd(sK59) )
| ( tl(app(sK59,tl(sK59))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_20464,c_223]) ).
tcf(c_86181,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK59,tl(sK59))))
| ( nil = sK59 )
| ( app(sK59,tl(sK59)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,hd(sK59))
| ~ strictorderedP(app(sK59,tl(sK59)))
| ~ ssList(app(sK59,tl(sK59))) ),
inference(superposition,[status(thm)],[c_20464,c_212]) ).
tcf(c_86182,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK59,tl(sK59))))
| ( nil = sK59 )
| ( app(sK59,tl(sK59)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,hd(sK59))
| ~ totalorderedP(app(sK59,tl(sK59)))
| ~ ssList(app(sK59,tl(sK59))) ),
inference(superposition,[status(thm)],[c_20464,c_206]) ).
tcf(c_86207,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK60,iPr_def_12)) = app(X0,app(X1,cons(sK60,iPr_def_12))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_85563,c_228]) ).
tcf(c_86208,plain,
cons(sK60,cons(sK60,iPr_def_12)) = app(iPr_def_10,cons(sK60,iPr_def_12)),
inference(superposition,[status(thm)],[c_85563,c_18957]) ).
tcf(c_86209,plain,
app(sK12(cons(sK60,iPr_def_12),nil),nil) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85563,c_18312]) ).
tcf(c_86210,plain,
app(sK12(cons(sK60,iPr_def_12),cons(sK60,iPr_def_12)),cons(sK60,iPr_def_12)) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85563,c_18284]) ).
tcf(c_86211,plain,
app(nil,sK11(cons(sK60,iPr_def_12),nil)) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85563,c_17822]) ).
tcf(c_86212,plain,
app(app(sK58,cons(sK60,iPr_def_12)),sK58) = app(sK58,app(cons(sK60,iPr_def_12),sK58)),
inference(superposition,[status(thm)],[c_85563,c_74272]) ).
tcf(c_86213,plain,
app(cons(sK60,iPr_def_12),sK11(cons(sK60,iPr_def_12),cons(sK60,iPr_def_12))) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85563,c_17782]) ).
tcf(c_86214,plain,
app(app(sK59,cons(sK60,iPr_def_12)),sK58) = app(sK59,app(cons(sK60,iPr_def_12),sK58)),
inference(superposition,[status(thm)],[c_85563,c_74271]) ).
tcf(c_86215,plain,
! [X0: $i] :
( ( app(app(cons(sK60,iPr_def_12),X0),sK58) = app(cons(sK60,iPr_def_12),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_85563,c_22630]) ).
tcf(c_86216,plain,
cons(sK57,cons(sK60,iPr_def_12)) = app(iPr_def_11,cons(sK60,iPr_def_12)),
inference(superposition,[status(thm)],[c_85563,c_16606]) ).
tcf(c_86217,plain,
app(app(sK56,cons(sK60,iPr_def_12)),sK59) = app(sK56,app(cons(sK60,iPr_def_12),sK59)),
inference(superposition,[status(thm)],[c_85563,c_63530]) ).
tcf(c_86218,plain,
app(app(sK58,cons(sK60,iPr_def_12)),sK59) = app(sK58,app(cons(sK60,iPr_def_12),sK59)),
inference(superposition,[status(thm)],[c_85563,c_63529]) ).
tcf(c_86219,plain,
app(app(sK59,cons(sK60,iPr_def_12)),sK59) = app(sK59,app(cons(sK60,iPr_def_12),sK59)),
inference(superposition,[status(thm)],[c_85563,c_63528]) ).
tcf(c_86220,plain,
! [X0: $i] :
( ( app(app(cons(sK60,iPr_def_12),X0),sK59) = app(cons(sK60,iPr_def_12),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_85563,c_22629]) ).
tcf(c_86221,plain,
hd(app(iPr_def_11,cons(sK60,iPr_def_12))) = sK57,
inference(superposition,[status(thm)],[c_85563,c_19198]) ).
tcf(c_86222,plain,
hd(cons(sK60,cons(sK60,iPr_def_12))) = sK60,
inference(superposition,[status(thm)],[c_85563,c_18952]) ).
tcf(c_86223,plain,
tl(cons(sK60,cons(sK60,iPr_def_12))) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85563,c_18951]) ).
tcf(c_86224,plain,
cons(sK57,app(cons(sK60,iPr_def_12),sK56)) = app(cons(sK57,cons(sK60,iPr_def_12)),sK56),
inference(superposition,[status(thm)],[c_85563,c_37365]) ).
tcf(c_86225,plain,
tl(cons(sK7,cons(sK60,iPr_def_12))) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85563,c_13978]) ).
tcf(c_86226,plain,
tl(cons(sK6,cons(sK60,iPr_def_12))) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85563,c_13977]) ).
tcf(c_86227,plain,
cons(sK57,app(cons(sK60,iPr_def_12),sK58)) = app(cons(sK57,cons(sK60,iPr_def_12)),sK58),
inference(superposition,[status(thm)],[c_85563,c_37364]) ).
tcf(c_86228,plain,
hd(cons(sK7,cons(sK60,iPr_def_12))) = sK7,
inference(superposition,[status(thm)],[c_85563,c_13802]) ).
tcf(c_86229,plain,
hd(cons(sK6,cons(sK60,iPr_def_12))) = sK6,
inference(superposition,[status(thm)],[c_85563,c_13801]) ).
tcf(c_86230,plain,
cons(sK57,app(cons(sK60,iPr_def_12),sK59)) = app(cons(sK57,cons(sK60,iPr_def_12)),sK59),
inference(superposition,[status(thm)],[c_85563,c_37363]) ).
tcf(c_86231,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK60,iPr_def_12))) = app(cons(sK57,X0),cons(sK60,iPr_def_12)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_85563,c_22147]) ).
tcf(c_86232,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK60,iPr_def_12)) = tl(app(sK56,cons(sK60,iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_85563,c_21660]) ).
tcf(c_86233,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK60,iPr_def_12)) = tl(app(sK58,cons(sK60,iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_85563,c_21659]) ).
tcf(c_86234,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK60,iPr_def_12)) = tl(app(sK59,cons(sK60,iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_85563,c_21658]) ).
tcf(c_86235,plain,
( duplicatefreeP(cons(sK60,iPr_def_12))
| ( app(app(sK42(cons(sK60,iPr_def_12)),cons(sK40(cons(sK60,iPr_def_12)),sK43(cons(sK60,iPr_def_12)))),cons(sK41(cons(sK60,iPr_def_12)),sK44(cons(sK60,iPr_def_12)))) = cons(sK60,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_85563,c_124]) ).
tcf(c_86236,plain,
( strictorderedP(cons(sK60,iPr_def_12))
| ( app(app(sK37(cons(sK60,iPr_def_12)),cons(sK35(cons(sK60,iPr_def_12)),sK38(cons(sK60,iPr_def_12)))),cons(sK36(cons(sK60,iPr_def_12)),sK39(cons(sK60,iPr_def_12)))) = cons(sK60,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_85563,c_116]) ).
tcf(c_86237,plain,
( totalorderedP(cons(sK60,iPr_def_12))
| ( app(app(sK32(cons(sK60,iPr_def_12)),cons(sK30(cons(sK60,iPr_def_12)),sK33(cons(sK60,iPr_def_12)))),cons(sK31(cons(sK60,iPr_def_12)),sK34(cons(sK60,iPr_def_12)))) = cons(sK60,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_85563,c_108]) ).
tcf(c_86238,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK60,iPr_def_12))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_85563,c_19187]) ).
tcf(c_86239,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_12) = nil )
| ( app(tl(cons(sK60,iPr_def_12)),X0) = tl(app(cons(sK60,iPr_def_12),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_85563,c_234]) ).
tcf(c_86240,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK60,iPr_def_12))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_85563,c_19186]) ).
tcf(c_86241,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK60,iPr_def_12))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_85563,c_19185]) ).
tcf(c_86242,plain,
( equalelemsP(cons(sK60,iPr_def_12))
| ( app(sK47(cons(sK60,iPr_def_12)),cons(sK45(cons(sK60,iPr_def_12)),cons(sK46(cons(sK60,iPr_def_12)),sK48(cons(sK60,iPr_def_12))))) = cons(sK60,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_85563,c_132]) ).
tcf(c_86243,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_12) = nil )
| ( hd(app(cons(sK60,iPr_def_12),X0)) = hd(cons(sK60,iPr_def_12)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_85563,c_233]) ).
tcf(c_86244,plain,
( ( cons(sK60,iPr_def_12) = nil )
| ( cons(hd(cons(sK60,iPr_def_12)),tl(cons(sK60,iPr_def_12))) = cons(sK60,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_85563,c_224]) ).
tcf(c_86245,plain,
( ( cons(sK60,iPr_def_12) = nil )
| ( cons(sK50(cons(sK60,iPr_def_12)),sK49(cons(sK60,iPr_def_12))) = cons(sK60,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_85563,c_147]) ).
tcf(c_86246,plain,
tl(cons(sK57,cons(sK60,iPr_def_12))) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85563,c_13997]) ).
tcf(c_86247,plain,
hd(cons(sK57,cons(sK60,iPr_def_12))) = sK57,
inference(superposition,[status(thm)],[c_85563,c_13821]) ).
tcf(c_86248,plain,
( ( cons(sK60,iPr_def_12) = nil )
| ( tl(cons(sK60,iPr_def_12)) = sK52(cons(sK60,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_85563,c_222]) ).
tcf(c_86249,plain,
( ( cons(sK60,iPr_def_12) = nil )
| ( hd(cons(sK60,iPr_def_12)) = sK51(cons(sK60,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_85563,c_220]) ).
tcf(c_86250,plain,
( duplicatefreeP(cons(sK60,iPr_def_12))
| ( sK40(cons(sK60,iPr_def_12)) = sK41(cons(sK60,iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_85563,c_123]) ).
tcf(c_86251,plain,
app(cons(sK60,iPr_def_12),nil) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85563,c_232]) ).
tcf(c_86252,plain,
app(nil,cons(sK60,iPr_def_12)) = cons(sK60,iPr_def_12),
inference(superposition,[status(thm)],[c_85563,c_155]) ).
tcf(c_86261,plain,
( ( cons(sK60,iPr_def_12) = nil )
| ( sK51(cons(sK60,iPr_def_12)) = sK60 ) ),
inference(light_normalisation,[status(thm)],[c_86249,c_50954]) ).
tcf(c_86264,plain,
( ( cons(sK60,iPr_def_12) = nil )
| ( sK52(cons(sK60,iPr_def_12)) = iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_86248,c_50399]) ).
tcf(c_86282,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_12) = nil )
| ( hd(app(cons(sK60,iPr_def_12),X0)) = sK60 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_86243,c_50954]) ).
tcf(c_86289,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_12) = nil )
| ( tl(app(cons(sK60,iPr_def_12),X0)) = app(iPr_def_12,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_86239,c_50399]) ).
tcf(c_86728,plain,
! [X0: $i] :
( rearsegP(cons(sK60,iPr_def_12),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_12,X0)
| ~ ssList(cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_85564,c_183]) ).
tcf(c_86729,plain,
( ( cons(sK60,iPr_def_12) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(cons(sK60,iPr_def_12))
| ~ rearsegP(iPr_def_12,cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_85564,c_184]) ).
tcf(c_86730,plain,
( ( app(sK12(cons(sK60,iPr_def_12),iPr_def_12),iPr_def_12) = cons(sK60,iPr_def_12) )
| ~ ssList(iPr_def_12)
| ~ ssList(cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_85564,c_66]) ).
tcf(c_86731,plain,
app(sK12(cons(sK60,iPr_def_12),iPr_def_12),iPr_def_12) = cons(sK60,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_86730,c_12842,c_85563]) ).
tcf(c_86732,plain,
( ( cons(sK60,iPr_def_12) = iPr_def_12 )
| ~ rearsegP(iPr_def_12,cons(sK60,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86729,c_12842,c_85563]) ).
tcf(c_86736,plain,
! [X0: $i] :
( frontsegP(cons(sK60,iPr_def_12),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_85565,c_173]) ).
tcf(c_86737,plain,
( ( cons(sK60,iPr_def_12) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,iPr_def_12))
| ~ frontsegP(iPr_def_10,cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_85565,c_174]) ).
tcf(c_86738,plain,
( ( app(iPr_def_10,sK11(cons(sK60,iPr_def_12),iPr_def_10)) = cons(sK60,iPr_def_12) )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_85565,c_63]) ).
tcf(c_86739,plain,
app(iPr_def_10,sK11(cons(sK60,iPr_def_12),iPr_def_10)) = cons(sK60,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_86738,c_18245,c_85563]) ).
tcf(c_86740,plain,
( ( cons(sK60,iPr_def_12) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,cons(sK60,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86737,c_18245,c_85563]) ).
tcf(c_86744,plain,
( ( app(app(sK13(cons(sK60,iPr_def_12),sK59),sK59),sK14(cons(sK60,iPr_def_12),sK59)) = cons(sK60,iPr_def_12) )
| ~ ssList(sK59)
| ~ ssList(cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_85560,c_70]) ).
tcf(c_86745,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_12),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_85560,c_190]) ).
tcf(c_86746,plain,
( ( cons(sK60,iPr_def_12) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK60,iPr_def_12))
| ~ segmentP(sK59,cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_85560,c_191]) ).
tcf(c_86747,plain,
( ( cons(sK60,iPr_def_12) = sK59 )
| ~ segmentP(sK59,cons(sK60,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86746,c_8916,c_85563]) ).
tcf(c_86751,plain,
app(app(sK13(cons(sK60,iPr_def_12),sK59),sK59),sK14(cons(sK60,iPr_def_12),sK59)) = cons(sK60,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_86744,c_8916,c_85563]) ).
tcf(c_86752,plain,
( ( app(app(sK13(cons(sK60,iPr_def_12),nil),nil),sK14(cons(sK60,iPr_def_12),nil)) = cons(sK60,iPr_def_12) )
| ~ ssList(nil)
| ~ ssList(cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_85561,c_70]) ).
tcf(c_86753,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_12),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_85561,c_190]) ).
tcf(c_86754,plain,
( ( cons(sK60,iPr_def_12) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK60,iPr_def_12))
| ~ segmentP(nil,cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_85561,c_191]) ).
tcf(c_86755,plain,
~ segmentP(nil,cons(sK60,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_86754,c_85570,c_141,c_85563]) ).
tcf(c_86756,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_12),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86753,c_141,c_85563]) ).
tcf(c_86760,plain,
app(app(sK13(cons(sK60,iPr_def_12),nil),nil),sK14(cons(sK60,iPr_def_12),nil)) = cons(sK60,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_86752,c_141,c_85563]) ).
tcf(c_86793,plain,
( ( app(app(sK13(cons(sK60,iPr_def_12),cons(sK57,sK59)),cons(sK57,sK59)),sK14(cons(sK60,iPr_def_12),cons(sK57,sK59))) = cons(sK60,iPr_def_12) )
| ~ ssList(cons(sK60,iPr_def_12))
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_85562,c_70]) ).
tcf(c_86794,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_12),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_12))
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_85562,c_190]) ).
tcf(c_86795,plain,
( ( cons(sK57,sK59) = cons(sK60,iPr_def_12) )
| ~ ssList(cons(sK60,iPr_def_12))
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(cons(sK57,sK59),cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_85562,c_191]) ).
tcf(c_86796,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_12),X0)
| ~ ssList(X0)
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86794,c_85563,c_38491]) ).
tcf(c_86800,plain,
( ( cons(sK57,sK59) = cons(sK60,iPr_def_12) )
| ~ segmentP(cons(sK57,sK59),cons(sK60,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86795,c_85563,c_38491]) ).
tcf(c_86803,plain,
app(app(sK13(cons(sK60,iPr_def_12),cons(sK57,sK59)),cons(sK57,sK59)),sK14(cons(sK60,iPr_def_12),cons(sK57,sK59))) = cons(sK60,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_86793,c_85563,c_38491]) ).
tcf(c_86810,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK60,sK58),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84495,c_183]) ).
tcf(c_86811,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK60,sK58))
| ~ rearsegP(X0,cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84495,c_184]) ).
tcf(c_86812,plain,
! [X0: $i] :
( ( app(sK12(cons(sK60,sK58),X0),X0) = cons(sK60,sK58) )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84495,c_66]) ).
tcf(c_86813,plain,
! [X0: $i] :
( ( app(sK12(cons(sK60,sK58),X0),X0) = cons(sK60,sK58) )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86812,c_84476]) ).
tcf(c_86817,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ rearsegP(X0,cons(sK60,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86811,c_84476]) ).
tcf(c_86822,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK60,sK58),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86810,c_84476]) ).
tcf(c_86836,plain,
! [X0: $i] :
( ( app(sK8(cons(sK60,sK58),X0),cons(X0,sK9(cons(sK60,sK58),X0))) = cons(sK60,sK58) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84499,c_57]) ).
tcf(c_86837,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK60,sK58),X0)) = sK8(cons(sK60,sK58),X0) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84499,c_12510]) ).
tcf(c_86838,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ( X0 = sK60 )
| ~ ssList(sK58)
| ~ ssItem(sK60)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_84499,c_170]) ).
tcf(c_86839,plain,
! [X0: $i] :
( memberP(sK58,X0)
| ( X0 = sK60 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86838,c_8915,c_18252]) ).
tcf(c_86844,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK60,sK58),X0)) = sK8(cons(sK60,sK58),X0) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86837,c_84476]) ).
tcf(c_86848,plain,
! [X0: $i] :
( ( app(sK8(cons(sK60,sK58),X0),cons(X0,sK9(cons(sK60,sK58),X0))) = cons(sK60,sK58) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86836,c_84476]) ).
tcf(c_86861,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK60,sK58),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84503,c_173]) ).
tcf(c_86862,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK60,sK58))
| ~ frontsegP(X0,cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84503,c_174]) ).
tcf(c_86863,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK60,sK58),X0)) = cons(sK60,sK58) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84503,c_63]) ).
tcf(c_86864,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK60 )
| ~ ssList(sK58)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_84503,c_178]) ).
tcf(c_86865,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK58,X1)
| ~ ssList(sK58)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_84503,c_179]) ).
tcf(c_86866,plain,
( ( sK57 = sK60 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssItem(sK60)
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_84503,c_27471]) ).
tcf(c_86868,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK60,sK58),X0)) = cons(sK60,sK58) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86863,c_84476]) ).
tcf(c_86872,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,cons(sK60,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86862,c_84476]) ).
tcf(c_86877,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK60,sK58),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86861,c_84476]) ).
tcf(c_86883,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK58,X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86865,c_8915,c_18252]) ).
tcf(c_86896,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK58),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK58),sK58))
| ~ ssList(app(app(sK12(cons(sK60,sK58),sK58),sK58),X0)) ),
inference(superposition,[status(thm)],[c_84872,c_67]) ).
tcf(c_86899,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK12(cons(sK60,sK58),sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK58),X0)
| ~ ssList(sK12(cons(sK60,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_84872,c_167]) ).
tcf(c_86902,plain,
( frontsegP(cons(sK60,sK58),sK12(cons(sK60,sK58),sK58))
| ~ ssList(sK58)
| ~ ssList(sK12(cons(sK60,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_84872,c_382]) ).
tcf(c_86905,plain,
! [X0: $i] :
( ( sK12(cons(sK60,sK58),sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK58),sK58))
| ( app(X0,sK58) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_84872,c_225]) ).
tcf(c_86906,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK58),sK58))
| ( app(sK12(cons(sK60,sK58),sK58),X0) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_84872,c_226]) ).
tcf(c_86907,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK58),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK58),sK58))
| ~ frontsegP(sK12(cons(sK60,sK58),sK58),X0) ),
inference(superposition,[status(thm)],[c_84872,c_176]) ).
tcf(c_86908,plain,
! [X0: $i] :
( memberP(cons(sK60,sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK60,sK58),sK58))
| ~ memberP(sK12(cons(sK60,sK58),sK58),X0) ),
inference(superposition,[status(thm)],[c_84872,c_165]) ).
tcf(c_86909,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK58),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(sK12(cons(sK60,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_84872,c_193]) ).
tcf(c_86910,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK58),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(sK12(cons(sK60,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_84872,c_186]) ).
tcf(c_86911,plain,
! [X0: $i] :
( memberP(cons(sK60,sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK12(cons(sK60,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_84872,c_166]) ).
tcf(c_86912,plain,
( ( sK12(cons(sK60,sK58),sK58) = iPr_def_11 )
| ~ ssList(sK12(cons(sK60,sK58),sK58))
| ( cons(sK57,sK58) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_84872,c_42471]) ).
tcf(c_86914,plain,
( frontsegP(cons(sK60,sK58),sK12(cons(sK60,sK58),sK58))
| ~ ssList(sK12(cons(sK60,sK58),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86902,c_8915]) ).
tcf(c_86922,plain,
! [X0: $i] :
( memberP(cons(sK60,sK58),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK60,sK58),sK58))
| ~ memberP(sK12(cons(sK60,sK58),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86908,c_8915]) ).
tcf(c_86927,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK58),sK58))
| ~ frontsegP(sK12(cons(sK60,sK58),sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86907,c_8915]) ).
tcf(c_86933,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(sK12(cons(sK60,sK58),sK58),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK58),X0)
| ~ ssList(sK12(cons(sK60,sK58),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86899,c_8915]) ).
tcf(c_86939,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK58),sK58))
| ( app(sK12(cons(sK60,sK58),sK58),X0) != cons(sK60,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86906,c_8915]) ).
tcf(c_86944,plain,
! [X0: $i] :
( ( sK12(cons(sK60,sK58),sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK58),sK58))
| ( app(X0,sK58) != cons(sK60,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86905,c_8915]) ).
tcf(c_86949,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK58),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK58),sK58))
| ~ ssList(app(cons(sK60,sK58),X0)) ),
inference(light_normalisation,[status(thm)],[c_86896,c_84872]) ).
tcf(c_86950,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK58),X0),sK58)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK58),sK58))
| ~ ssList(app(cons(sK60,sK58),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86949,c_8915]) ).
tcf(c_86992,plain,
~ rearsegP(sK58,cons(sK60,sK58)),
inference(global_subsumption_just,[status(thm)],[c_84873,c_84479,c_84873]) ).
tcf(c_87000,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK60,sK56),X0),X0),sK14(cons(sK60,sK56),X0)) = cons(sK60,sK56) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84914,c_70]) ).
tcf(c_87001,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK60,sK56),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84914,c_190]) ).
tcf(c_87002,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK60,sK56))
| ~ segmentP(X0,cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84914,c_191]) ).
tcf(c_87003,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,cons(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87002,c_84910]) ).
tcf(c_87008,plain,
! [X0: $i,X1: $i] :
( segmentP(cons(sK60,sK56),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87001,c_84910]) ).
tcf(c_87014,plain,
! [X0: $i] :
( ( app(app(sK13(cons(sK60,sK56),X0),X0),sK14(cons(sK60,sK56),X0)) = cons(sK60,sK56) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87000,c_84910]) ).
tcf(c_87025,plain,
! [X0: $i] :
( ( app(sK8(cons(sK60,sK56),X0),cons(X0,sK9(cons(sK60,sK56),X0))) = cons(sK60,sK56) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84925,c_57]) ).
tcf(c_87026,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK60,sK56),X0)) = sK8(cons(sK60,sK56),X0) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84925,c_12510]) ).
tcf(c_87028,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK60,sK56),X0)) = sK8(cons(sK60,sK56),X0) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87026,c_84910]) ).
tcf(c_87032,plain,
! [X0: $i] :
( ( app(sK8(cons(sK60,sK56),X0),cons(X0,sK9(cons(sK60,sK56),X0))) = cons(sK60,sK56) )
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87025,c_84910]) ).
tcf(c_87046,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( nil = sK58 )
| ( X0 = nil )
| ( app(sK59,tl(sK58)) = nil )
| ( app(sK59,tl(sK58)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,tl(sK58)))
| ( hd(X0) != hd(sK59) )
| ( tl(app(sK59,tl(sK58))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_20465,c_223]) ).
tcf(c_87047,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK59,tl(sK58))))
| ( nil = sK59 )
| ( nil = sK58 )
| ( app(sK59,tl(sK58)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,hd(sK59))
| ~ strictorderedP(app(sK59,tl(sK58)))
| ~ ssList(app(sK59,tl(sK58))) ),
inference(superposition,[status(thm)],[c_20465,c_212]) ).
tcf(c_87048,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK59,tl(sK58))))
| ( nil = sK59 )
| ( nil = sK58 )
| ( app(sK59,tl(sK58)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,hd(sK59))
| ~ totalorderedP(app(sK59,tl(sK58)))
| ~ ssList(app(sK59,tl(sK58))) ),
inference(superposition,[status(thm)],[c_20465,c_206]) ).
tcf(c_87482,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK60,sK59),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK60,sK59)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_84295,c_122]) ).
tcf(c_87483,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK60,sK59),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK60,sK59)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_84295,c_114]) ).
tcf(c_87484,plain,
! [X0: $i] :
( ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK59),cons(sK60,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK60,sK59)),cons(sK60,X0))) ),
inference(superposition,[status(thm)],[c_84295,c_130]) ).
tcf(c_87488,plain,
( memberP(cons(sK60,sK59),sK60)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(app(nil,cons(sK60,sK59))) ),
inference(superposition,[status(thm)],[c_84295,c_54]) ).
tcf(c_87489,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK59),X0),cons(sK60,sK59))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK59))
| ~ ssList(app(app(nil,cons(sK60,sK59)),X0)) ),
inference(superposition,[status(thm)],[c_84295,c_67]) ).
tcf(c_87495,plain,
( frontsegP(cons(sK60,sK59),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_84295,c_382]) ).
tcf(c_87496,plain,
( rearsegP(cons(sK60,sK59),cons(sK60,sK59))
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_84295,c_379]) ).
tcf(c_87498,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK59))
| ( app(X0,cons(sK60,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_84295,c_225]) ).
tcf(c_87502,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK59))
| ( app(nil,X0) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_84295,c_226]) ).
tcf(c_87503,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_84295,c_176]) ).
tcf(c_87505,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK59),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK59))
| ~ segmentP(cons(sK60,sK59),X0) ),
inference(superposition,[status(thm)],[c_84295,c_193]) ).
tcf(c_87508,plain,
frontsegP(cons(sK60,sK59),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_87495,c_141,c_83680]) ).
tcf(c_87509,plain,
rearsegP(cons(sK60,sK59),cons(sK60,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_87496,c_141,c_83680]) ).
tcf(c_87510,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87503,c_141,c_83680]) ).
tcf(c_87514,plain,
( memberP(cons(sK60,sK59),sK60)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(cons(sK60,sK59)) ),
inference(light_normalisation,[status(thm)],[c_87488,c_84295]) ).
tcf(c_87515,plain,
memberP(cons(sK60,sK59),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_87514,c_8916,c_141,c_18252,c_83680]) ).
tcf(c_87516,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87502,c_141,c_83680]) ).
tcf(c_87520,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK60,sK59)) != cons(sK60,sK59) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87498,c_141,c_83680]) ).
tcf(c_87524,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK59),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(cons(sK60,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87505,c_141,c_83680]) ).
tcf(c_87529,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK59),X0),cons(sK60,sK59))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK59))
| ~ ssList(app(cons(sK60,sK59),X0)) ),
inference(light_normalisation,[status(thm)],[c_87489,c_84295]) ).
tcf(c_87530,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK59),X0),cons(sK60,sK59))
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87529,c_141,c_83680]) ).
tcf(c_87552,plain,
! [X0: $i] :
( ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK60,sK59),cons(sK60,X0)))
| ~ ssList(app(cons(sK60,sK59),cons(sK60,X0))) ),
inference(light_normalisation,[status(thm)],[c_87484,c_84295]) ).
tcf(c_87553,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK60,sK59),cons(sK60,X0)))
| ~ ssList(app(cons(sK60,sK59),cons(sK60,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87552,c_8916,c_141,c_18252]) ).
tcf(c_87557,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK60,sK59),cons(X0,X1)))
| ~ ssList(app(cons(sK60,sK59),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_87483,c_84295]) ).
tcf(c_87558,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK60,sK59),cons(X0,X1)))
| ~ ssList(app(cons(sK60,sK59),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87557,c_8916,c_141,c_18252]) ).
tcf(c_87564,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK60,sK59),cons(X0,X1)))
| ~ ssList(app(cons(sK60,sK59),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_87482,c_84295]) ).
tcf(c_87565,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK60,sK59),cons(X0,X1)))
| ~ ssList(app(cons(sK60,sK59),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87564,c_8916,c_141,c_18252]) ).
tcf(c_87580,plain,
( ( cons(sK60,sK59) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK59))
| ~ frontsegP(nil,cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_87508,c_174]) ).
tcf(c_87582,plain,
~ frontsegP(nil,cons(sK60,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_87580,c_83697,c_141,c_83680]) ).
tcf(c_87583,plain,
( ( app(sK8(cons(sK60,sK59),sK60),cons(sK60,sK9(cons(sK60,sK59),sK60))) = cons(sK60,sK59) )
| ~ ssItem(sK60)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_87515,c_57]) ).
tcf(c_87584,plain,
( ( app(nil,sK8(cons(sK60,sK59),sK60)) = sK8(cons(sK60,sK59),sK60) )
| ~ ssItem(sK60)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_87515,c_12510]) ).
tcf(c_87586,plain,
app(nil,sK8(cons(sK60,sK59),sK60)) = sK8(cons(sK60,sK59),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_87584,c_18252,c_83680]) ).
tcf(c_87587,plain,
app(sK8(cons(sK60,sK59),sK60),cons(sK60,sK9(cons(sK60,sK59),sK60))) = cons(sK60,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_87583,c_18252,c_83680]) ).
tcf(c_87591,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_11),X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_10,iPr_def_11),X0)) ),
inference(superposition,[status(thm)],[c_83222,c_67]) ).
tcf(c_87594,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(iPr_def_10,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,iPr_def_11),X0) ),
inference(superposition,[status(thm)],[c_83222,c_167]) ).
tcf(c_87596,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ( cons(sK60,iPr_def_11) != nil ) ),
inference(superposition,[status(thm)],[c_83222,c_230]) ).
tcf(c_87597,plain,
( frontsegP(cons(sK60,iPr_def_11),iPr_def_10)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_83222,c_382]) ).
tcf(c_87598,plain,
( rearsegP(cons(sK60,iPr_def_11),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_83222,c_379]) ).
tcf(c_87599,plain,
( ssList(cons(sK60,iPr_def_11))
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_83222,c_153]) ).
tcf(c_87600,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ( app(X0,iPr_def_11) != cons(sK60,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_83222,c_225]) ).
tcf(c_87601,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK60,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_83222,c_226]) ).
tcf(c_87602,plain,
! [X0: $i] :
( frontsegP(cons(sK60,iPr_def_11),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_83222,c_176]) ).
tcf(c_87603,plain,
! [X0: $i] :
( memberP(cons(sK60,iPr_def_11),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_83222,c_165]) ).
tcf(c_87604,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,iPr_def_11),X1),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_83222,c_193]) ).
tcf(c_87605,plain,
! [X0: $i] :
( rearsegP(cons(sK60,iPr_def_11),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_83222,c_186]) ).
tcf(c_87606,plain,
! [X0: $i] :
( memberP(cons(sK60,iPr_def_11),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_83222,c_166]) ).
tcf(c_87607,plain,
( ( sK58 = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( cons(sK60,iPr_def_11) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_83222,c_25227]) ).
tcf(c_87608,plain,
( memberP(cons(sK60,iPr_def_11),sK57)
| ~ ssList(iPr_def_10)
| ~ ssList(app(iPr_def_10,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_83222,c_12209]) ).
tcf(c_87609,plain,
( segmentP(cons(sK60,iPr_def_11),cons(sK57,sK59))
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_83222,c_73177]) ).
tcf(c_87610,plain,
( segmentP(cons(sK60,iPr_def_11),nil)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_83222,c_73180]) ).
tcf(c_87611,plain,
( segmentP(cons(sK60,iPr_def_11),sK59)
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_83222,c_73174]) ).
tcf(c_87612,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_11),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_83222,c_26887]) ).
tcf(c_87613,plain,
segmentP(cons(sK60,iPr_def_11),sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_87611,c_12706]) ).
tcf(c_87614,plain,
segmentP(cons(sK60,iPr_def_11),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_87610,c_12706]) ).
tcf(c_87615,plain,
segmentP(cons(sK60,iPr_def_11),cons(sK57,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_87609,c_12706]) ).
tcf(c_87616,plain,
ssList(cons(sK60,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_87599,c_12706,c_18245]) ).
tcf(c_87617,plain,
rearsegP(cons(sK60,iPr_def_11),iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_87598,c_12706,c_18245]) ).
tcf(c_87618,plain,
frontsegP(cons(sK60,iPr_def_11),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_87597,c_12706,c_18245]) ).
tcf(c_87619,plain,
( memberP(cons(sK60,iPr_def_11),sK57)
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_87608,c_83222]) ).
tcf(c_87620,plain,
( memberP(cons(sK60,iPr_def_11),sK57)
| ~ ssList(cons(sK60,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87619,c_18245]) ).
tcf(c_87623,plain,
cons(sK60,iPr_def_11) != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_87607,c_68476,c_18245]) ).
tcf(c_87624,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_11),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87612,c_12706]) ).
tcf(c_87628,plain,
cons(sK60,iPr_def_11) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_87596,c_13775,c_12706,c_18245]) ).
tcf(c_87629,plain,
! [X0: $i] :
( memberP(cons(sK60,iPr_def_11),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87606,c_12706,c_18245]) ).
tcf(c_87633,plain,
! [X0: $i] :
( rearsegP(cons(sK60,iPr_def_11),X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87605,c_12706,c_18245]) ).
tcf(c_87637,plain,
! [X0: $i] :
( memberP(cons(sK60,iPr_def_11),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87603,c_12706,c_18245]) ).
tcf(c_87641,plain,
! [X0: $i] :
( frontsegP(cons(sK60,iPr_def_11),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87602,c_12706,c_18245]) ).
tcf(c_87645,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,iPr_def_11),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87594,c_12706,c_18245]) ).
tcf(c_87650,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(iPr_def_10,X0) != cons(sK60,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87601,c_12706,c_18245]) ).
tcf(c_87654,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(X0,iPr_def_11) != cons(sK60,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87600,c_12706,c_18245]) ).
tcf(c_87658,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,iPr_def_11),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87604,c_12706,c_18245]) ).
tcf(c_87663,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_11),X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,iPr_def_11),X0)) ),
inference(light_normalisation,[status(thm)],[c_87591,c_83222]) ).
tcf(c_87664,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_11),X0),iPr_def_11)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,iPr_def_11),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87663,c_12706,c_18245]) ).
tcf(c_87707,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK60,iPr_def_11)) = app(X0,app(X1,cons(sK60,iPr_def_11))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_87616,c_228]) ).
tcf(c_87708,plain,
cons(sK60,cons(sK60,iPr_def_11)) = app(iPr_def_10,cons(sK60,iPr_def_11)),
inference(superposition,[status(thm)],[c_87616,c_18957]) ).
tcf(c_87709,plain,
app(sK12(cons(sK60,iPr_def_11),nil),nil) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_87616,c_18312]) ).
tcf(c_87710,plain,
app(sK12(cons(sK60,iPr_def_11),cons(sK60,iPr_def_11)),cons(sK60,iPr_def_11)) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_87616,c_18284]) ).
tcf(c_87711,plain,
app(nil,sK11(cons(sK60,iPr_def_11),nil)) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_87616,c_17822]) ).
tcf(c_87712,plain,
app(app(sK58,cons(sK60,iPr_def_11)),sK58) = app(sK58,app(cons(sK60,iPr_def_11),sK58)),
inference(superposition,[status(thm)],[c_87616,c_74272]) ).
tcf(c_87713,plain,
app(cons(sK60,iPr_def_11),sK11(cons(sK60,iPr_def_11),cons(sK60,iPr_def_11))) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_87616,c_17782]) ).
tcf(c_87714,plain,
app(app(sK59,cons(sK60,iPr_def_11)),sK58) = app(sK59,app(cons(sK60,iPr_def_11),sK58)),
inference(superposition,[status(thm)],[c_87616,c_74271]) ).
tcf(c_87715,plain,
! [X0: $i] :
( ( app(app(cons(sK60,iPr_def_11),X0),sK58) = app(cons(sK60,iPr_def_11),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_87616,c_22630]) ).
tcf(c_87716,plain,
cons(sK57,cons(sK60,iPr_def_11)) = app(iPr_def_11,cons(sK60,iPr_def_11)),
inference(superposition,[status(thm)],[c_87616,c_16606]) ).
tcf(c_87717,plain,
app(app(sK56,cons(sK60,iPr_def_11)),sK59) = app(sK56,app(cons(sK60,iPr_def_11),sK59)),
inference(superposition,[status(thm)],[c_87616,c_63530]) ).
tcf(c_87718,plain,
app(app(sK58,cons(sK60,iPr_def_11)),sK59) = app(sK58,app(cons(sK60,iPr_def_11),sK59)),
inference(superposition,[status(thm)],[c_87616,c_63529]) ).
tcf(c_87719,plain,
app(app(sK59,cons(sK60,iPr_def_11)),sK59) = app(sK59,app(cons(sK60,iPr_def_11),sK59)),
inference(superposition,[status(thm)],[c_87616,c_63528]) ).
tcf(c_87720,plain,
! [X0: $i] :
( ( app(app(cons(sK60,iPr_def_11),X0),sK59) = app(cons(sK60,iPr_def_11),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_87616,c_22629]) ).
tcf(c_87721,plain,
hd(app(iPr_def_11,cons(sK60,iPr_def_11))) = sK57,
inference(superposition,[status(thm)],[c_87616,c_19198]) ).
tcf(c_87722,plain,
hd(cons(sK60,cons(sK60,iPr_def_11))) = sK60,
inference(superposition,[status(thm)],[c_87616,c_18952]) ).
tcf(c_87723,plain,
tl(cons(sK60,cons(sK60,iPr_def_11))) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_87616,c_18951]) ).
tcf(c_87724,plain,
cons(sK57,app(cons(sK60,iPr_def_11),sK56)) = app(cons(sK57,cons(sK60,iPr_def_11)),sK56),
inference(superposition,[status(thm)],[c_87616,c_37365]) ).
tcf(c_87725,plain,
tl(cons(sK7,cons(sK60,iPr_def_11))) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_87616,c_13978]) ).
tcf(c_87726,plain,
tl(cons(sK6,cons(sK60,iPr_def_11))) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_87616,c_13977]) ).
tcf(c_87727,plain,
cons(sK57,app(cons(sK60,iPr_def_11),sK58)) = app(cons(sK57,cons(sK60,iPr_def_11)),sK58),
inference(superposition,[status(thm)],[c_87616,c_37364]) ).
tcf(c_87728,plain,
hd(cons(sK7,cons(sK60,iPr_def_11))) = sK7,
inference(superposition,[status(thm)],[c_87616,c_13802]) ).
tcf(c_87729,plain,
hd(cons(sK6,cons(sK60,iPr_def_11))) = sK6,
inference(superposition,[status(thm)],[c_87616,c_13801]) ).
tcf(c_87730,plain,
cons(sK57,app(cons(sK60,iPr_def_11),sK59)) = app(cons(sK57,cons(sK60,iPr_def_11)),sK59),
inference(superposition,[status(thm)],[c_87616,c_37363]) ).
tcf(c_87731,plain,
! [X0: $i] :
( ( cons(sK57,app(X0,cons(sK60,iPr_def_11))) = app(cons(sK57,X0),cons(sK60,iPr_def_11)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_87616,c_22147]) ).
tcf(c_87732,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK60,iPr_def_11)) = tl(app(sK56,cons(sK60,iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_87616,c_21660]) ).
tcf(c_87733,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK60,iPr_def_11)) = tl(app(sK58,cons(sK60,iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_87616,c_21659]) ).
tcf(c_87734,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK60,iPr_def_11)) = tl(app(sK59,cons(sK60,iPr_def_11))) ) ),
inference(superposition,[status(thm)],[c_87616,c_21658]) ).
tcf(c_87735,plain,
( duplicatefreeP(cons(sK60,iPr_def_11))
| ( app(app(sK42(cons(sK60,iPr_def_11)),cons(sK40(cons(sK60,iPr_def_11)),sK43(cons(sK60,iPr_def_11)))),cons(sK41(cons(sK60,iPr_def_11)),sK44(cons(sK60,iPr_def_11)))) = cons(sK60,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_87616,c_124]) ).
tcf(c_87736,plain,
( strictorderedP(cons(sK60,iPr_def_11))
| ( app(app(sK37(cons(sK60,iPr_def_11)),cons(sK35(cons(sK60,iPr_def_11)),sK38(cons(sK60,iPr_def_11)))),cons(sK36(cons(sK60,iPr_def_11)),sK39(cons(sK60,iPr_def_11)))) = cons(sK60,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_87616,c_116]) ).
tcf(c_87737,plain,
( totalorderedP(cons(sK60,iPr_def_11))
| ( app(app(sK32(cons(sK60,iPr_def_11)),cons(sK30(cons(sK60,iPr_def_11)),sK33(cons(sK60,iPr_def_11)))),cons(sK31(cons(sK60,iPr_def_11)),sK34(cons(sK60,iPr_def_11)))) = cons(sK60,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_87616,c_108]) ).
tcf(c_87738,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK60,iPr_def_11))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_87616,c_19187]) ).
tcf(c_87739,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_11) = nil )
| ( app(tl(cons(sK60,iPr_def_11)),X0) = tl(app(cons(sK60,iPr_def_11),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_87616,c_234]) ).
tcf(c_87740,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK60,iPr_def_11))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_87616,c_19186]) ).
tcf(c_87741,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK60,iPr_def_11))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_87616,c_19185]) ).
tcf(c_87742,plain,
( equalelemsP(cons(sK60,iPr_def_11))
| ( app(sK47(cons(sK60,iPr_def_11)),cons(sK45(cons(sK60,iPr_def_11)),cons(sK46(cons(sK60,iPr_def_11)),sK48(cons(sK60,iPr_def_11))))) = cons(sK60,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_87616,c_132]) ).
tcf(c_87743,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_11) = nil )
| ( hd(app(cons(sK60,iPr_def_11),X0)) = hd(cons(sK60,iPr_def_11)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_87616,c_233]) ).
tcf(c_87744,plain,
( ( cons(sK60,iPr_def_11) = nil )
| ( cons(hd(cons(sK60,iPr_def_11)),tl(cons(sK60,iPr_def_11))) = cons(sK60,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_87616,c_224]) ).
tcf(c_87745,plain,
( ( cons(sK60,iPr_def_11) = nil )
| ( cons(sK50(cons(sK60,iPr_def_11)),sK49(cons(sK60,iPr_def_11))) = cons(sK60,iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_87616,c_147]) ).
tcf(c_87746,plain,
tl(cons(sK57,cons(sK60,iPr_def_11))) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_87616,c_13997]) ).
tcf(c_87747,plain,
hd(cons(sK57,cons(sK60,iPr_def_11))) = sK57,
inference(superposition,[status(thm)],[c_87616,c_13821]) ).
tcf(c_87748,plain,
( ( cons(sK60,iPr_def_11) = nil )
| ( tl(cons(sK60,iPr_def_11)) = sK52(cons(sK60,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_87616,c_222]) ).
tcf(c_87749,plain,
( ( cons(sK60,iPr_def_11) = nil )
| ( hd(cons(sK60,iPr_def_11)) = sK51(cons(sK60,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_87616,c_220]) ).
tcf(c_87750,plain,
( duplicatefreeP(cons(sK60,iPr_def_11))
| ( sK40(cons(sK60,iPr_def_11)) = sK41(cons(sK60,iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_87616,c_123]) ).
tcf(c_87751,plain,
app(cons(sK60,iPr_def_11),nil) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_87616,c_232]) ).
tcf(c_87752,plain,
app(nil,cons(sK60,iPr_def_11)) = cons(sK60,iPr_def_11),
inference(superposition,[status(thm)],[c_87616,c_155]) ).
tcf(c_87761,plain,
( ( cons(sK60,iPr_def_11) = nil )
| ( sK51(cons(sK60,iPr_def_11)) = sK60 ) ),
inference(light_normalisation,[status(thm)],[c_87749,c_50955]) ).
tcf(c_87764,plain,
( ( cons(sK60,iPr_def_11) = nil )
| ( sK52(cons(sK60,iPr_def_11)) = iPr_def_11 ) ),
inference(light_normalisation,[status(thm)],[c_87748,c_50400]) ).
tcf(c_87782,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_11) = nil )
| ( hd(app(cons(sK60,iPr_def_11),X0)) = sK60 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_87743,c_50955]) ).
tcf(c_87789,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_11) = nil )
| ( tl(app(cons(sK60,iPr_def_11),X0)) = app(iPr_def_11,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_87739,c_50400]) ).
tcf(c_88036,plain,
( ( app(app(sK13(cons(sK60,iPr_def_11),sK59),sK59),sK14(cons(sK60,iPr_def_11),sK59)) = cons(sK60,iPr_def_11) )
| ~ ssList(sK59)
| ~ ssList(cons(sK60,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_87613,c_70]) ).
tcf(c_88037,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_11),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(cons(sK60,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_87613,c_190]) ).
tcf(c_88038,plain,
( ( cons(sK60,iPr_def_11) = sK59 )
| ~ ssList(sK59)
| ~ ssList(cons(sK60,iPr_def_11))
| ~ segmentP(sK59,cons(sK60,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_87613,c_191]) ).
tcf(c_88039,plain,
( ( cons(sK60,iPr_def_11) = sK59 )
| ~ segmentP(sK59,cons(sK60,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88038,c_8916,c_87616]) ).
tcf(c_88043,plain,
app(app(sK13(cons(sK60,iPr_def_11),sK59),sK59),sK14(cons(sK60,iPr_def_11),sK59)) = cons(sK60,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_88036,c_8916,c_87616]) ).
tcf(c_88050,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK60,sK56),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84929,c_183]) ).
tcf(c_88051,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK60,sK56))
| ~ rearsegP(X0,cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84929,c_184]) ).
tcf(c_88052,plain,
! [X0: $i] :
( ( app(sK12(cons(sK60,sK56),X0),X0) = cons(sK60,sK56) )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84929,c_66]) ).
tcf(c_88053,plain,
! [X0: $i] :
( ( app(sK12(cons(sK60,sK56),X0),X0) = cons(sK60,sK56) )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88052,c_84910]) ).
tcf(c_88057,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = X0 )
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,cons(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88051,c_84910]) ).
tcf(c_88062,plain,
! [X0: $i,X1: $i] :
( rearsegP(cons(sK60,sK56),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ rearsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88050,c_84910]) ).
tcf(c_88076,plain,
! [X0: $i] :
( ( app(sK8(cons(sK60,sK56),X0),cons(X0,sK9(cons(sK60,sK56),X0))) = cons(sK60,sK56) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84933,c_57]) ).
tcf(c_88077,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK60,sK56),X0)) = sK8(cons(sK60,sK56),X0) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84933,c_12510]) ).
tcf(c_88078,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ( X0 = sK60 )
| ~ ssList(sK56)
| ~ ssItem(sK60)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_84933,c_170]) ).
tcf(c_88079,plain,
! [X0: $i] :
( memberP(sK56,X0)
| ( X0 = sK60 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88078,c_8907,c_18252]) ).
tcf(c_88084,plain,
! [X0: $i] :
( ( app(nil,sK8(cons(sK60,sK56),X0)) = sK8(cons(sK60,sK56),X0) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88077,c_84910]) ).
tcf(c_88088,plain,
! [X0: $i] :
( ( app(sK8(cons(sK60,sK56),X0),cons(X0,sK9(cons(sK60,sK56),X0))) = cons(sK60,sK56) )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88076,c_84910]) ).
tcf(c_88101,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK60,sK56),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84937,c_173]) ).
tcf(c_88102,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK60,sK56))
| ~ frontsegP(X0,cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84937,c_174]) ).
tcf(c_88103,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK60,sK56),X0)) = cons(sK60,sK56) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_84937,c_63]) ).
tcf(c_88104,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK60 )
| ~ ssList(sK56)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_84937,c_178]) ).
tcf(c_88105,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK56,X1)
| ~ ssList(sK56)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_84937,c_179]) ).
tcf(c_88106,plain,
( ( sK57 = sK60 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK56)
| ~ ssItem(sK60)
| ~ frontsegP(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_84937,c_27471]) ).
tcf(c_88108,plain,
! [X0: $i] :
( ( app(X0,sK11(cons(sK60,sK56),X0)) = cons(sK60,sK56) )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88103,c_84910]) ).
tcf(c_88112,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = X0 )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,cons(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88102,c_84910]) ).
tcf(c_88117,plain,
! [X0: $i,X1: $i] :
( frontsegP(cons(sK60,sK56),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ frontsegP(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88101,c_84910]) ).
tcf(c_88123,plain,
! [X0: $i,X1: $i] :
( frontsegP(sK56,X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ frontsegP(iPr_def_10,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88105,c_8907,c_18252]) ).
tcf(c_88136,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK56),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK56),sK56))
| ~ ssList(app(app(sK12(cons(sK60,sK56),sK56),sK56),X0)) ),
inference(superposition,[status(thm)],[c_85316,c_67]) ).
tcf(c_88139,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK12(cons(sK60,sK56),sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK56),X0)
| ~ ssList(sK12(cons(sK60,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_85316,c_167]) ).
tcf(c_88142,plain,
( frontsegP(cons(sK60,sK56),sK12(cons(sK60,sK56),sK56))
| ~ ssList(sK56)
| ~ ssList(sK12(cons(sK60,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_85316,c_382]) ).
tcf(c_88145,plain,
! [X0: $i] :
( ( sK12(cons(sK60,sK56),sK56) = X0 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK56),sK56))
| ( app(X0,sK56) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_85316,c_225]) ).
tcf(c_88146,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK56),sK56))
| ( app(sK12(cons(sK60,sK56),sK56),X0) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_85316,c_226]) ).
tcf(c_88147,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK56),sK56))
| ~ frontsegP(sK12(cons(sK60,sK56),sK56),X0) ),
inference(superposition,[status(thm)],[c_85316,c_176]) ).
tcf(c_88148,plain,
! [X0: $i] :
( memberP(cons(sK60,sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK60,sK56),sK56))
| ~ memberP(sK12(cons(sK60,sK56),sK56),X0) ),
inference(superposition,[status(thm)],[c_85316,c_165]) ).
tcf(c_88149,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK56),X1),X0)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(sK12(cons(sK60,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_85316,c_193]) ).
tcf(c_88150,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK56),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0)
| ~ ssList(sK12(cons(sK60,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_85316,c_186]) ).
tcf(c_88151,plain,
! [X0: $i] :
( memberP(cons(sK60,sK56),X0)
| ~ ssList(sK56)
| ~ ssItem(X0)
| ~ memberP(sK56,X0)
| ~ ssList(sK12(cons(sK60,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_85316,c_166]) ).
tcf(c_88152,plain,
( ( sK12(cons(sK60,sK56),sK56) = iPr_def_11 )
| ~ ssList(sK12(cons(sK60,sK56),sK56))
| ( cons(sK57,sK56) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_85316,c_45754]) ).
tcf(c_88154,plain,
( frontsegP(cons(sK60,sK56),sK12(cons(sK60,sK56),sK56))
| ~ ssList(sK12(cons(sK60,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88142,c_8907]) ).
tcf(c_88162,plain,
! [X0: $i] :
( memberP(cons(sK60,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(sK12(cons(sK60,sK56),sK56))
| ~ memberP(sK12(cons(sK60,sK56),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88148,c_8907]) ).
tcf(c_88167,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK56),sK56))
| ~ frontsegP(sK12(cons(sK60,sK56),sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88147,c_8907]) ).
tcf(c_88173,plain,
! [X0: $i] :
( memberP(sK56,X0)
| memberP(sK12(cons(sK60,sK56),sK56),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK56),X0)
| ~ ssList(sK12(cons(sK60,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88139,c_8907]) ).
tcf(c_88179,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK56),sK56))
| ( app(sK12(cons(sK60,sK56),sK56),X0) != cons(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88146,c_8907]) ).
tcf(c_88184,plain,
! [X0: $i] :
( ( sK12(cons(sK60,sK56),sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK56),sK56))
| ( app(X0,sK56) != cons(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88145,c_8907]) ).
tcf(c_88189,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK56),X0),sK56)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK56),sK56))
| ~ ssList(app(cons(sK60,sK56),X0)) ),
inference(light_normalisation,[status(thm)],[c_88136,c_85316]) ).
tcf(c_88190,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK56),X0),sK56)
| ~ ssList(X0)
| ~ ssList(sK12(cons(sK60,sK56),sK56))
| ~ ssList(app(cons(sK60,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88189,c_8907]) ).
tcf(c_88278,plain,
~ rearsegP(sK56,cons(sK60,sK56)),
inference(global_subsumption_just,[status(thm)],[c_85317,c_84913,c_85317]) ).
tcf(c_88295,plain,
( ssItem(hd(sK59))
| ( nil = sK56 )
| ( nil = sK59 )
| ( app(sK59,tl(sK56)) = nil )
| ~ ssList(app(sK59,tl(sK56))) ),
inference(superposition,[status(thm)],[c_20466,c_149]) ).
tcf(c_88296,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( nil = sK59 )
| ( X0 = nil )
| ( app(sK59,tl(sK56)) = nil )
| ( app(sK59,tl(sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,tl(sK56)))
| ( hd(X0) != hd(sK59) )
| ( tl(app(sK59,tl(sK56))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_20466,c_223]) ).
tcf(c_88297,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK59,tl(sK56))))
| ( nil = sK56 )
| ( nil = sK59 )
| ( app(sK59,tl(sK56)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,hd(sK59))
| ~ strictorderedP(app(sK59,tl(sK56)))
| ~ ssList(app(sK59,tl(sK56))) ),
inference(superposition,[status(thm)],[c_20466,c_212]) ).
tcf(c_88298,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK59,tl(sK56))))
| ( nil = sK56 )
| ( nil = sK59 )
| ( app(sK59,tl(sK56)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,hd(sK59))
| ~ totalorderedP(app(sK59,tl(sK56)))
| ~ ssList(app(sK59,tl(sK56))) ),
inference(superposition,[status(thm)],[c_20466,c_206]) ).
tcf(c_88383,plain,
! [X0: $i] :
( rearsegP(cons(sK60,iPr_def_11),X0)
| ~ ssList(iPr_def_11)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_11,X0)
| ~ ssList(cons(sK60,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_87617,c_183]) ).
tcf(c_88384,plain,
( ( cons(sK60,iPr_def_11) = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK60,iPr_def_11))
| ~ rearsegP(iPr_def_11,cons(sK60,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_87617,c_184]) ).
tcf(c_88385,plain,
( ( app(sK12(cons(sK60,iPr_def_11),iPr_def_11),iPr_def_11) = cons(sK60,iPr_def_11) )
| ~ ssList(iPr_def_11)
| ~ ssList(cons(sK60,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_87617,c_66]) ).
tcf(c_88386,plain,
app(sK12(cons(sK60,iPr_def_11),iPr_def_11),iPr_def_11) = cons(sK60,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_88385,c_12706,c_87616]) ).
tcf(c_88387,plain,
( ( cons(sK60,iPr_def_11) = iPr_def_11 )
| ~ rearsegP(iPr_def_11,cons(sK60,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88384,c_12706,c_87616]) ).
tcf(c_88391,plain,
! [X0: $i] :
( frontsegP(cons(sK60,iPr_def_11),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,X0)
| ~ ssList(cons(sK60,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_87618,c_173]) ).
tcf(c_88392,plain,
( ( cons(sK60,iPr_def_11) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,iPr_def_11))
| ~ frontsegP(iPr_def_10,cons(sK60,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_87618,c_174]) ).
tcf(c_88393,plain,
( ( app(iPr_def_10,sK11(cons(sK60,iPr_def_11),iPr_def_10)) = cons(sK60,iPr_def_11) )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_87618,c_63]) ).
tcf(c_88394,plain,
app(iPr_def_10,sK11(cons(sK60,iPr_def_11),iPr_def_10)) = cons(sK60,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_88393,c_18245,c_87616]) ).
tcf(c_88395,plain,
( ( cons(sK60,iPr_def_11) = iPr_def_10 )
| ~ frontsegP(iPr_def_10,cons(sK60,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88392,c_18245,c_87616]) ).
tcf(c_88399,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK58),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK58))
| ~ ssList(app(app(cons(sK60,sK58),nil),X0)) ),
inference(superposition,[status(thm)],[c_84659,c_67]) ).
tcf(c_88405,plain,
( frontsegP(cons(sK60,sK58),cons(sK60,sK58))
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84659,c_382]) ).
tcf(c_88406,plain,
( rearsegP(cons(sK60,sK58),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84659,c_379]) ).
tcf(c_88408,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK58))
| ( app(X0,nil) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_84659,c_225]) ).
tcf(c_88409,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK58))
| ( app(cons(sK60,sK58),X0) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_84659,c_226]) ).
tcf(c_88412,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK58),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84659,c_193]) ).
tcf(c_88413,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK58),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84659,c_186]) ).
tcf(c_88418,plain,
rearsegP(cons(sK60,sK58),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_88406,c_141,c_84476]) ).
tcf(c_88419,plain,
frontsegP(cons(sK60,sK58),cons(sK60,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_88405,c_141,c_84476]) ).
tcf(c_88420,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88413,c_141,c_84476]) ).
tcf(c_88424,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK58),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88412,c_141,c_84476]) ).
tcf(c_88429,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK60,sK58),X0) != cons(sK60,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88409,c_141,c_84476]) ).
tcf(c_88433,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK60,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88408,c_141,c_84476]) ).
tcf(c_88437,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK58),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK58))
| ~ ssList(app(cons(sK60,sK58),X0)) ),
inference(light_normalisation,[status(thm)],[c_88399,c_84659]) ).
tcf(c_88438,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK58),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK58),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88437,c_141,c_84476]) ).
tcf(c_88445,plain,
( ( app(app(sK13(cons(sK60,iPr_def_11),nil),nil),sK14(cons(sK60,iPr_def_11),nil)) = cons(sK60,iPr_def_11) )
| ~ ssList(nil)
| ~ ssList(cons(sK60,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_87614,c_70]) ).
tcf(c_88446,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_11),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK60,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_87614,c_190]) ).
tcf(c_88447,plain,
( ( cons(sK60,iPr_def_11) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK60,iPr_def_11))
| ~ segmentP(nil,cons(sK60,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_87614,c_191]) ).
tcf(c_88448,plain,
~ segmentP(nil,cons(sK60,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_88447,c_87628,c_141,c_87616]) ).
tcf(c_88449,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_11),X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88446,c_141,c_87616]) ).
tcf(c_88453,plain,
app(app(sK13(cons(sK60,iPr_def_11),nil),nil),sK14(cons(sK60,iPr_def_11),nil)) = cons(sK60,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_88445,c_141,c_87616]) ).
tcf(c_88455,plain,
( ( cons(sK60,sK58) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK58))
| ~ rearsegP(nil,cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_88418,c_184]) ).
tcf(c_88457,plain,
~ rearsegP(nil,cons(sK60,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_88455,c_84490,c_141,c_84476]) ).
tcf(c_88463,plain,
( ( app(sK58,app(sK59,sK58)) = app(sK58,sK59) )
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK58)))
| ~ frontsegP(app(sK58,sK59),app(sK58,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_80372,c_174]) ).
tcf(c_88464,plain,
( ( app(app(sK58,sK59),sK11(app(sK58,app(sK59,sK58)),app(sK58,sK59))) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,sK59))
| ~ ssList(app(sK58,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_80372,c_63]) ).
tcf(c_88478,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK58,app(sK59,sK58)),X0),X0),sK14(app(sK58,app(sK59,sK58)),X0)) = app(sK58,app(sK59,sK58)) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK58,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_80378,c_70]) ).
tcf(c_88479,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,app(sK59,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK58,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_80378,c_190]) ).
tcf(c_88480,plain,
! [X0: $i] :
( ( app(sK58,app(sK59,sK58)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK58,app(sK59,sK58)))
| ~ segmentP(X0,app(sK58,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_80378,c_191]) ).
tcf(c_88503,plain,
( ( app(app(sK13(app(sK58,app(sK59,sK58)),sK59),sK59),sK14(app(sK58,app(sK59,sK58)),sK59)) = app(sK58,app(sK59,sK58)) )
| ~ ssList(sK59)
| ~ ssList(app(sK58,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_80383,c_70]) ).
tcf(c_88504,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK59,sK58)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK58,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_80383,c_190]) ).
tcf(c_88505,plain,
( ( app(sK58,app(sK59,sK58)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK58,app(sK59,sK58)))
| ~ segmentP(sK59,app(sK58,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_80383,c_191]) ).
tcf(c_88507,plain,
( ( app(sK58,app(sK59,sK58)) = sK59 )
| ~ ssList(app(sK58,app(sK59,sK58)))
| ~ segmentP(sK59,app(sK58,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88505,c_8916]) ).
tcf(c_88511,plain,
( ( app(app(sK13(app(sK58,app(sK59,sK58)),sK59),sK59),sK14(app(sK58,app(sK59,sK58)),sK59)) = app(sK58,app(sK59,sK58)) )
| ~ ssList(app(sK58,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88503,c_8916]) ).
tcf(c_88566,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK58,app(sK58,sK58)),X0),X0),sK14(app(sK58,app(sK58,sK58)),X0)) = app(sK58,app(sK58,sK58)) )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK58,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_80740,c_70]) ).
tcf(c_88567,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,app(sK58,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK58,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_80740,c_190]) ).
tcf(c_88568,plain,
! [X0: $i] :
( ( app(sK58,app(sK58,sK58)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK58,app(sK58,sK58)))
| ~ segmentP(X0,app(sK58,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_80740,c_191]) ).
tcf(c_88591,plain,
( ( app(app(sK13(app(sK58,app(sK58,sK58)),sK58),sK58),sK14(app(sK58,app(sK58,sK58)),sK58)) = app(sK58,app(sK58,sK58)) )
| ~ ssList(sK58)
| ~ ssList(app(sK58,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_80745,c_70]) ).
tcf(c_88592,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK58,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_80745,c_190]) ).
tcf(c_88593,plain,
( ( app(sK58,app(sK58,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK58,app(sK58,sK58)))
| ~ segmentP(sK58,app(sK58,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_80745,c_191]) ).
tcf(c_88595,plain,
( ( app(sK58,app(sK58,sK58)) = sK58 )
| ~ ssList(app(sK58,app(sK58,sK58)))
| ~ segmentP(sK58,app(sK58,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88593,c_8915]) ).
tcf(c_88599,plain,
( ( app(app(sK13(app(sK58,app(sK58,sK58)),sK58),sK58),sK14(app(sK58,app(sK58,sK58)),sK58)) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88591,c_8915]) ).
tcf(c_88607,plain,
( ( app(sK58,app(sK58,sK58)) = app(sK58,sK58) )
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK58)))
| ~ frontsegP(app(sK58,sK58),app(sK58,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_80748,c_174]) ).
tcf(c_88608,plain,
( ( app(app(sK58,sK58),sK11(app(sK58,app(sK58,sK58)),app(sK58,sK58))) = app(sK58,app(sK58,sK58)) )
| ~ ssList(app(sK58,sK58))
| ~ ssList(app(sK58,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_80748,c_63]) ).
tcf(c_88621,plain,
( ( app(sK58,app(sK56,sK58)) = app(sK58,sK56) )
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK58)))
| ~ frontsegP(app(sK58,sK56),app(sK58,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_81561,c_174]) ).
tcf(c_88622,plain,
( ( app(app(sK58,sK56),sK11(app(sK58,app(sK56,sK58)),app(sK58,sK56))) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,sK56))
| ~ ssList(app(sK58,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_81561,c_63]) ).
tcf(c_88636,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK58,app(sK56,sK58)),X0),X0),sK14(app(sK58,app(sK56,sK58)),X0)) = app(sK58,app(sK56,sK58)) )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK58,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_81567,c_70]) ).
tcf(c_88637,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK58,app(sK56,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK58,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_81567,c_190]) ).
tcf(c_88638,plain,
! [X0: $i] :
( ( app(sK58,app(sK56,sK58)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK58,app(sK56,sK58)))
| ~ segmentP(X0,app(sK58,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_81567,c_191]) ).
tcf(c_88663,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( X0 = nil )
| ( app(sK59,tl(iPr_def_12)) = nil )
| ( app(sK59,tl(iPr_def_12)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK59,tl(iPr_def_12)))
| ( hd(X0) != hd(sK59) )
| ( tl(app(sK59,tl(iPr_def_12))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_20467,c_223]) ).
tcf(c_88664,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK59,tl(iPr_def_12))))
| ( nil = sK59 )
| ( app(sK59,tl(iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,hd(sK59))
| ~ strictorderedP(app(sK59,tl(iPr_def_12)))
| ~ ssList(app(sK59,tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20467,c_212]) ).
tcf(c_88665,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK59,tl(iPr_def_12))))
| ( nil = sK59 )
| ( app(sK59,tl(iPr_def_12)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,hd(sK59))
| ~ totalorderedP(app(sK59,tl(iPr_def_12)))
| ~ ssList(app(sK59,tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20467,c_206]) ).
tcf(c_88695,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK60,sK58),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK60,sK58)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_84660,c_122]) ).
tcf(c_88696,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK60,sK58),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK60,sK58)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_84660,c_114]) ).
tcf(c_88697,plain,
! [X0: $i] :
( ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK58),cons(sK60,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK60,sK58)),cons(sK60,X0))) ),
inference(superposition,[status(thm)],[c_84660,c_130]) ).
tcf(c_88701,plain,
( memberP(cons(sK60,sK58),sK60)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(app(nil,cons(sK60,sK58))) ),
inference(superposition,[status(thm)],[c_84660,c_54]) ).
tcf(c_88702,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK58),X0),cons(sK60,sK58))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK58))
| ~ ssList(app(app(nil,cons(sK60,sK58)),X0)) ),
inference(superposition,[status(thm)],[c_84660,c_67]) ).
tcf(c_88708,plain,
( frontsegP(cons(sK60,sK58),nil)
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84660,c_382]) ).
tcf(c_88709,plain,
( rearsegP(cons(sK60,sK58),cons(sK60,sK58))
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84660,c_379]) ).
tcf(c_88711,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK58))
| ( app(X0,cons(sK60,sK58)) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_84660,c_225]) ).
tcf(c_88715,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK58))
| ( app(nil,X0) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_84660,c_226]) ).
tcf(c_88716,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK58),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_84660,c_176]) ).
tcf(c_88718,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK58),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK58))
| ~ segmentP(cons(sK60,sK58),X0) ),
inference(superposition,[status(thm)],[c_84660,c_193]) ).
tcf(c_88721,plain,
frontsegP(cons(sK60,sK58),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_88708,c_141,c_84476]) ).
tcf(c_88722,plain,
rearsegP(cons(sK60,sK58),cons(sK60,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_88709,c_141,c_84476]) ).
tcf(c_88723,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88716,c_141,c_84476]) ).
tcf(c_88727,plain,
( memberP(cons(sK60,sK58),sK60)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(cons(sK60,sK58)) ),
inference(light_normalisation,[status(thm)],[c_88701,c_84660]) ).
tcf(c_88728,plain,
memberP(cons(sK60,sK58),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_88727,c_8915,c_141,c_18252,c_84476]) ).
tcf(c_88729,plain,
! [X0: $i] :
( ( cons(sK60,sK58) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK60,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88715,c_141,c_84476]) ).
tcf(c_88733,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK60,sK58)) != cons(sK60,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88711,c_141,c_84476]) ).
tcf(c_88737,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK58),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(cons(sK60,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88718,c_141,c_84476]) ).
tcf(c_88742,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK58),X0),cons(sK60,sK58))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK58))
| ~ ssList(app(cons(sK60,sK58),X0)) ),
inference(light_normalisation,[status(thm)],[c_88702,c_84660]) ).
tcf(c_88743,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK58),X0),cons(sK60,sK58))
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK58),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88742,c_141,c_84476]) ).
tcf(c_88765,plain,
! [X0: $i] :
( ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK60,sK58),cons(sK60,X0)))
| ~ ssList(app(cons(sK60,sK58),cons(sK60,X0))) ),
inference(light_normalisation,[status(thm)],[c_88697,c_84660]) ).
tcf(c_88766,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK60,sK58),cons(sK60,X0)))
| ~ ssList(app(cons(sK60,sK58),cons(sK60,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88765,c_8915,c_141,c_18252]) ).
tcf(c_88770,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK60,sK58),cons(X0,X1)))
| ~ ssList(app(cons(sK60,sK58),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_88696,c_84660]) ).
tcf(c_88771,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK60,sK58),cons(X0,X1)))
| ~ ssList(app(cons(sK60,sK58),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88770,c_8915,c_141,c_18252]) ).
tcf(c_88777,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK60,sK58),cons(X0,X1)))
| ~ ssList(app(cons(sK60,sK58),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_88695,c_84660]) ).
tcf(c_88778,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK60,sK58),cons(X0,X1)))
| ~ ssList(app(cons(sK60,sK58),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88777,c_8915,c_141,c_18252]) ).
tcf(c_88871,plain,
( ( cons(sK60,sK58) = nil )
| ~ ssList(nil)
| ~ ssList(cons(sK60,sK58))
| ~ frontsegP(nil,cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_88721,c_174]) ).
tcf(c_88873,plain,
~ frontsegP(nil,cons(sK60,sK58)),
inference(forward_subsumption_resolution,[status(thm)],[c_88871,c_84490,c_141,c_84476]) ).
tcf(c_88874,plain,
( ( app(sK8(cons(sK60,sK58),sK60),cons(sK60,sK9(cons(sK60,sK58),sK60))) = cons(sK60,sK58) )
| ~ ssItem(sK60)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_88728,c_57]) ).
tcf(c_88875,plain,
( ( app(nil,sK8(cons(sK60,sK58),sK60)) = sK8(cons(sK60,sK58),sK60) )
| ~ ssItem(sK60)
| ~ ssList(cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_88728,c_12510]) ).
tcf(c_88877,plain,
app(nil,sK8(cons(sK60,sK58),sK60)) = sK8(cons(sK60,sK58),sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_88875,c_18252,c_84476]) ).
tcf(c_88878,plain,
app(sK8(cons(sK60,sK58),sK60),cons(sK60,sK9(cons(sK60,sK58),sK60))) = cons(sK60,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_88874,c_18252,c_84476]) ).
tcf(c_88879,plain,
( ( app(app(sK13(cons(sK60,iPr_def_11),cons(sK57,sK59)),cons(sK57,sK59)),sK14(cons(sK60,iPr_def_11),cons(sK57,sK59))) = cons(sK60,iPr_def_11) )
| ~ ssList(cons(sK60,iPr_def_11))
| ~ ssList(cons(sK57,sK59)) ),
inference(superposition,[status(thm)],[c_87615,c_70]) ).
tcf(c_88880,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_11),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_11))
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(superposition,[status(thm)],[c_87615,c_190]) ).
tcf(c_88881,plain,
( ( cons(sK57,sK59) = cons(sK60,iPr_def_11) )
| ~ ssList(cons(sK60,iPr_def_11))
| ~ ssList(cons(sK57,sK59))
| ~ segmentP(cons(sK57,sK59),cons(sK60,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_87615,c_191]) ).
tcf(c_88882,plain,
! [X0: $i] :
( segmentP(cons(sK60,iPr_def_11),X0)
| ~ ssList(X0)
| ~ segmentP(cons(sK57,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88880,c_87616,c_38491]) ).
tcf(c_88886,plain,
( ( cons(sK57,sK59) = cons(sK60,iPr_def_11) )
| ~ segmentP(cons(sK57,sK59),cons(sK60,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88881,c_87616,c_38491]) ).
tcf(c_88889,plain,
app(app(sK13(cons(sK60,iPr_def_11),cons(sK57,sK59)),cons(sK57,sK59)),sK14(cons(sK60,iPr_def_11),cons(sK57,sK59))) = cons(sK60,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_88879,c_87616,c_38491]) ).
tcf(c_88897,plain,
( ( app(app(sK13(app(sK58,app(sK56,sK58)),sK56),sK56),sK14(app(sK58,app(sK56,sK58)),sK56)) = app(sK58,app(sK56,sK58)) )
| ~ ssList(sK56)
| ~ ssList(app(sK58,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_81572,c_70]) ).
tcf(c_88898,plain,
! [X0: $i] :
( segmentP(app(sK58,app(sK56,sK58)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK58,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_81572,c_190]) ).
tcf(c_88899,plain,
( ( app(sK58,app(sK56,sK58)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK58,app(sK56,sK58)))
| ~ segmentP(sK56,app(sK58,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_81572,c_191]) ).
tcf(c_88901,plain,
( ( app(sK58,app(sK56,sK58)) = sK56 )
| ~ ssList(app(sK58,app(sK56,sK58)))
| ~ segmentP(sK56,app(sK58,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88899,c_8907]) ).
tcf(c_88905,plain,
( ( app(app(sK13(app(sK58,app(sK56,sK58)),sK56),sK56),sK14(app(sK58,app(sK56,sK58)),sK56)) = app(sK58,app(sK56,sK58)) )
| ~ ssList(app(sK58,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88897,c_8907]) ).
tcf(c_88908,plain,
! [X0: $i] :
( ~ memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ( X0 = sK60 ) ),
inference(global_subsumption_just,[status(thm)],[c_85777,c_171,c_24525]) ).
tcf(c_88909,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(renaming,[status(thm)],[c_88908]) ).
tcf(c_88918,plain,
( ( sK57 = sK60 )
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_22060,c_88909]) ).
tcf(c_88919,plain,
( ( sK10(iPr_def_10) = sK60 )
| ~ ssItem(sK10(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_48825,c_88909]) ).
tcf(c_88920,plain,
( ( hd(iPr_def_12) = sK60 )
| ~ ssItem(hd(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_58058,c_88909]) ).
tcf(c_88921,plain,
sK57 = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_88918,c_8914]) ).
tcf(c_88922,plain,
hd(iPr_def_12) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_88920,c_25586]) ).
tcf(c_88925,plain,
segmentP(cons(sK60,iPr_def_11),cons(sK60,sK59)),
inference(demodulation,[status(thm)],[c_87615,c_88921]) ).
tcf(c_88926,plain,
segmentP(cons(sK60,iPr_def_12),cons(sK60,sK59)),
inference(demodulation,[status(thm)],[c_85562,c_88921]) ).
tcf(c_88927,plain,
segmentP(cons(sK60,sK56),cons(sK60,sK59)),
inference(demodulation,[status(thm)],[c_84909,c_88921]) ).
tcf(c_88928,plain,
segmentP(cons(sK60,sK58),cons(sK60,sK59)),
inference(demodulation,[status(thm)],[c_84475,c_88921]) ).
tcf(c_88929,plain,
segmentP(cons(sK60,sK59),cons(sK60,sK59)),
inference(demodulation,[status(thm)],[c_83679,c_88921]) ).
tcf(c_88934,plain,
! [X0: $i] :
( segmentP(app(iPr_def_10,X0),cons(sK60,sK59))
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c_73177,c_88921]) ).
tcf(c_88935,plain,
app(nil,sK8(cons(sK60,iPr_def_11),sK60)) = sK8(cons(sK60,iPr_def_11),sK60),
inference(demodulation,[status(thm)],[c_79279,c_88921]) ).
tcf(c_88937,plain,
rearsegP(cons(sK60,iPr_def_11),cons(sK60,iPr_def_11)),
inference(demodulation,[status(thm)],[c_79159,c_88921]) ).
tcf(c_88938,plain,
~ frontsegP(nil,cons(sK60,iPr_def_11)),
inference(demodulation,[status(thm)],[c_79275,c_88921]) ).
tcf(c_88939,plain,
memberP(cons(sK60,iPr_def_11),sK60),
inference(demodulation,[status(thm)],[c_79165,c_88921]) ).
tcf(c_88940,plain,
frontsegP(cons(sK60,iPr_def_11),nil),
inference(demodulation,[status(thm)],[c_79158,c_88921]) ).
tcf(c_88945,plain,
frontsegP(cons(sK60,iPr_def_11),cons(sK60,iPr_def_11)),
inference(demodulation,[status(thm)],[c_77015,c_88921]) ).
tcf(c_88946,plain,
~ rearsegP(nil,cons(sK60,iPr_def_11)),
inference(demodulation,[status(thm)],[c_77093,c_88921]) ).
tcf(c_88947,plain,
rearsegP(cons(sK60,iPr_def_11),nil),
inference(demodulation,[status(thm)],[c_77014,c_88921]) ).
tcf(c_88950,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(iPr_def_10,cons(sK60,X0)))
| ~ ssList(app(iPr_def_10,cons(sK60,X0))) ),
inference(demodulation,[status(thm)],[c_68532,c_88921]) ).
tcf(c_88951,plain,
app(nil,sK8(cons(sK60,iPr_def_12),sK60)) = sK8(cons(sK60,iPr_def_12),sK60),
inference(demodulation,[status(thm)],[c_73890,c_88921]) ).
tcf(c_88952,plain,
cons(sK60,sK58) != cons(sK60,iPr_def_12),
inference(demodulation,[status(thm)],[c_69992,c_88921]) ).
tcf(c_88953,plain,
rearsegP(cons(sK60,iPr_def_12),cons(sK60,iPr_def_12)),
inference(demodulation,[status(thm)],[c_73749,c_88921]) ).
tcf(c_88954,plain,
~ frontsegP(nil,cons(sK60,iPr_def_12)),
inference(demodulation,[status(thm)],[c_73886,c_88921]) ).
tcf(c_88955,plain,
segmentP(iPr_def_10,cons(sK60,sK59)),
inference(demodulation,[status(thm)],[c_73104,c_88921]) ).
tcf(c_88956,plain,
memberP(cons(sK60,iPr_def_12),sK60),
inference(demodulation,[status(thm)],[c_73755,c_88921]) ).
tcf(c_88957,plain,
frontsegP(cons(sK60,iPr_def_12),nil),
inference(demodulation,[status(thm)],[c_73748,c_88921]) ).
tcf(c_88959,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_10,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(cons(sK60,sK59),X0) ),
inference(demodulation,[status(thm)],[c_68503,c_88921]) ).
tcf(c_88960,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(X0,cons(sK60,sK59)) != iPr_def_10 ) ),
inference(demodulation,[status(thm)],[c_68499,c_88921]) ).
tcf(c_88961,plain,
! [X0: $i] :
( ( cons(sK60,sK59) = X0 )
| ~ ssList(X0)
| ( app(sK58,X0) != iPr_def_10 ) ),
inference(demodulation,[status(thm)],[c_68495,c_88921]) ).
tcf(c_88964,plain,
frontsegP(cons(sK60,iPr_def_10),iPr_def_11),
inference(demodulation,[status(thm)],[c_72893,c_88921]) ).
tcf(c_88966,plain,
cons(sK60,iPr_def_10) = app(iPr_def_11,iPr_def_10),
inference(demodulation,[status(thm)],[c_69693,c_88921]) ).
tcf(c_88968,plain,
frontsegP(cons(sK60,iPr_def_11),iPr_def_11),
inference(demodulation,[status(thm)],[c_72110,c_88921]) ).
tcf(c_88971,plain,
cons(sK60,iPr_def_11) = app(iPr_def_11,iPr_def_11),
inference(demodulation,[status(thm)],[c_69692,c_88921]) ).
tcf(c_88972,plain,
frontsegP(cons(sK60,iPr_def_12),cons(sK60,iPr_def_12)),
inference(demodulation,[status(thm)],[c_72007,c_88921]) ).
tcf(c_88973,plain,
~ rearsegP(nil,cons(sK60,iPr_def_12)),
inference(demodulation,[status(thm)],[c_72080,c_88921]) ).
tcf(c_88974,plain,
rearsegP(cons(sK60,iPr_def_12),nil),
inference(demodulation,[status(thm)],[c_72006,c_88921]) ).
tcf(c_88976,plain,
frontsegP(cons(sK60,iPr_def_10),cons(sK60,iPr_def_12)),
inference(demodulation,[status(thm)],[c_70040,c_88921]) ).
tcf(c_88978,plain,
rearsegP(cons(sK60,iPr_def_10),sK59),
inference(demodulation,[status(thm)],[c_70041,c_88921]) ).
tcf(c_88979,plain,
frontsegP(cons(sK60,iPr_def_12),iPr_def_11),
inference(demodulation,[status(thm)],[c_69988,c_88921]) ).
tcf(c_88982,plain,
cons(sK60,iPr_def_12) = app(iPr_def_11,iPr_def_12),
inference(demodulation,[status(thm)],[c_69691,c_88921]) ).
tcf(c_88983,plain,
! [X0: $i] :
( ( cons(sK60,X0) = app(iPr_def_11,X0) )
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c_16606,c_88921]) ).
tcf(c_88991,plain,
! [X0: $i] :
( rearsegP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ rearsegP(cons(sK60,sK59),X0) ),
inference(demodulation,[status(thm)],[c_68486,c_88921]) ).
tcf(c_88992,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK59),X0) ),
inference(demodulation,[status(thm)],[c_68482,c_88921]) ).
tcf(c_88993,plain,
rearsegP(iPr_def_10,cons(sK60,sK59)),
inference(demodulation,[status(thm)],[c_68475,c_88921]) ).
tcf(c_88994,plain,
app(sK58,cons(sK60,sK59)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_66808,c_88921]) ).
tcf(c_88997,plain,
app(nil,sK8(cons(sK60,iPr_def_10),sK60)) = sK8(cons(sK60,iPr_def_10),sK60),
inference(demodulation,[status(thm)],[c_66615,c_88921]) ).
tcf(c_88998,plain,
rearsegP(cons(sK60,iPr_def_10),cons(sK60,iPr_def_10)),
inference(demodulation,[status(thm)],[c_66499,c_88921]) ).
tcf(c_88999,plain,
memberP(cons(sK60,iPr_def_10),sK60),
inference(demodulation,[status(thm)],[c_66505,c_88921]) ).
tcf(c_89000,plain,
frontsegP(cons(sK60,iPr_def_10),nil),
inference(demodulation,[status(thm)],[c_66498,c_88921]) ).
tcf(c_89001,plain,
app(nil,cons(sK60,iPr_def_10)) = cons(sK60,iPr_def_10),
inference(demodulation,[status(thm)],[c_59834,c_88921]) ).
tcf(c_89002,plain,
frontsegP(cons(sK60,iPr_def_10),cons(sK60,iPr_def_10)),
inference(demodulation,[status(thm)],[c_66433,c_88921]) ).
tcf(c_89003,plain,
rearsegP(cons(sK60,iPr_def_10),nil),
inference(demodulation,[status(thm)],[c_66432,c_88921]) ).
tcf(c_89004,plain,
app(cons(sK60,iPr_def_10),nil) = cons(sK60,iPr_def_10),
inference(demodulation,[status(thm)],[c_59833,c_88921]) ).
tcf(c_89014,plain,
( frontsegP(cons(sK60,iPr_def_10),sK12(cons(sK60,iPr_def_10),sK59))
| ~ ssList(sK12(cons(sK60,iPr_def_10),sK59)) ),
inference(demodulation,[status(thm)],[c_63330,c_88921]) ).
tcf(c_89015,plain,
app(sK12(cons(sK60,iPr_def_10),sK59),sK59) = cons(sK60,iPr_def_10),
inference(demodulation,[status(thm)],[c_63307,c_88921]) ).
tcf(c_89016,plain,
rearsegP(cons(sK60,sK56),cons(sK60,sK56)),
inference(demodulation,[status(thm)],[c_62739,c_88921]) ).
tcf(c_89017,plain,
~ frontsegP(nil,cons(sK60,sK56)),
inference(demodulation,[status(thm)],[c_62819,c_88921]) ).
tcf(c_89018,plain,
app(nil,sK8(cons(sK60,sK56),sK60)) = sK8(cons(sK60,sK56),sK60),
inference(demodulation,[status(thm)],[c_62824,c_88921]) ).
tcf(c_89019,plain,
~ segmentP(sK56,cons(sK60,sK56)),
inference(demodulation,[status(thm)],[c_62812,c_88921]) ).
tcf(c_89020,plain,
memberP(cons(sK60,sK56),sK60),
inference(demodulation,[status(thm)],[c_62745,c_88921]) ).
tcf(c_89021,plain,
frontsegP(cons(sK60,sK56),nil),
inference(demodulation,[status(thm)],[c_62738,c_88921]) ).
tcf(c_89022,plain,
segmentP(cons(sK60,sK56),sK56),
inference(demodulation,[status(thm)],[c_62182,c_88921]) ).
tcf(c_89024,plain,
frontsegP(cons(sK60,sK56),cons(sK60,sK56)),
inference(demodulation,[status(thm)],[c_62183,c_88921]) ).
tcf(c_89025,plain,
~ rearsegP(nil,cons(sK60,sK56)),
inference(demodulation,[status(thm)],[c_62673,c_88921]) ).
tcf(c_89026,plain,
rearsegP(cons(sK60,sK56),nil),
inference(demodulation,[status(thm)],[c_62176,c_88921]) ).
tcf(c_89036,plain,
~ segmentP(sK58,cons(sK60,sK58)),
inference(demodulation,[status(thm)],[c_61652,c_88921]) ).
tcf(c_89038,plain,
segmentP(cons(sK60,sK58),sK58),
inference(demodulation,[status(thm)],[c_61583,c_88921]) ).
tcf(c_89041,plain,
hd(cons(sK6,cons(sK60,iPr_def_10))) = sK6,
inference(demodulation,[status(thm)],[c_59811,c_88921]) ).
tcf(c_89042,plain,
hd(cons(sK7,cons(sK60,iPr_def_10))) = sK7,
inference(demodulation,[status(thm)],[c_59810,c_88921]) ).
tcf(c_89043,plain,
hd(cons(sK60,cons(sK60,iPr_def_10))) = sK60,
inference(demodulation,[status(thm)],[c_59804,c_88921]) ).
tcf(c_89045,plain,
app(cons(sK60,iPr_def_12),sK59) = cons(sK60,iPr_def_10),
inference(demodulation,[status(thm)],[c_37882,c_88921]) ).
tcf(c_89054,plain,
( ( cons(sK60,app(sK56,sK59)) = sK56 )
| ~ segmentP(sK56,cons(sK60,app(sK56,sK59))) ),
inference(demodulation,[status(thm)],[c_57278,c_88921]) ).
tcf(c_89055,plain,
( ( cons(sK60,app(sK56,sK58)) = sK56 )
| ~ segmentP(sK56,cons(sK60,app(sK56,sK58))) ),
inference(demodulation,[status(thm)],[c_57270,c_88921]) ).
tcf(c_89056,plain,
~ segmentP(sK56,cons(sK60,app(sK56,sK56))),
inference(demodulation,[status(thm)],[c_57159,c_88921]) ).
tcf(c_89057,plain,
segmentP(cons(sK60,app(sK56,sK59)),sK56),
inference(demodulation,[status(thm)],[c_57110,c_88921]) ).
tcf(c_89058,plain,
segmentP(cons(sK60,app(sK56,sK58)),sK56),
inference(demodulation,[status(thm)],[c_57108,c_88921]) ).
tcf(c_89065,plain,
segmentP(cons(sK60,app(sK56,sK56)),sK56),
inference(demodulation,[status(thm)],[c_57106,c_88921]) ).
tcf(c_89067,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_56717,c_88921]) ).
tcf(c_89068,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_56713,c_88921]) ).
tcf(c_89069,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_56709,c_88921]) ).
tcf(c_89071,plain,
( ( cons(sK60,app(sK58,sK59)) = sK58 )
| ~ segmentP(sK58,cons(sK60,app(sK58,sK59))) ),
inference(demodulation,[status(thm)],[c_54667,c_88921]) ).
tcf(c_89072,plain,
( ( cons(sK60,app(sK58,sK56)) = sK58 )
| ~ segmentP(sK58,cons(sK60,app(sK58,sK56))) ),
inference(demodulation,[status(thm)],[c_54547,c_88921]) ).
tcf(c_89073,plain,
~ segmentP(sK58,cons(sK60,app(sK58,sK58))),
inference(demodulation,[status(thm)],[c_54661,c_88921]) ).
tcf(c_89074,plain,
segmentP(cons(sK60,app(sK58,sK59)),sK58),
inference(demodulation,[status(thm)],[c_54524,c_88921]) ).
tcf(c_89075,plain,
segmentP(cons(sK60,app(sK58,sK58)),sK58),
inference(demodulation,[status(thm)],[c_54522,c_88921]) ).
tcf(c_89076,plain,
segmentP(cons(sK60,app(sK58,sK56)),sK58),
inference(demodulation,[status(thm)],[c_54520,c_88921]) ).
tcf(c_89078,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(demodulation,[status(thm)],[c_54355,c_88921]) ).
tcf(c_89079,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(demodulation,[status(thm)],[c_54351,c_88921]) ).
tcf(c_89080,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(demodulation,[status(thm)],[c_54347,c_88921]) ).
tcf(c_89085,plain,
~ segmentP(sK59,cons(sK60,app(sK59,sK59))),
inference(demodulation,[status(thm)],[c_53821,c_88921]) ).
tcf(c_89086,plain,
( ( cons(sK60,app(sK59,sK58)) = sK59 )
| ~ segmentP(sK59,cons(sK60,app(sK59,sK58))) ),
inference(demodulation,[status(thm)],[c_53731,c_88921]) ).
tcf(c_89087,plain,
( ( cons(sK60,app(sK59,sK56)) = sK59 )
| ~ segmentP(sK59,cons(sK60,app(sK59,sK56))) ),
inference(demodulation,[status(thm)],[c_53723,c_88921]) ).
tcf(c_89088,plain,
cons(sK60,app(sK56,sK56)) != sK56,
inference(demodulation,[status(thm)],[c_46975,c_88921]) ).
tcf(c_89089,plain,
segmentP(cons(sK60,app(sK59,sK59)),sK59),
inference(demodulation,[status(thm)],[c_53627,c_88921]) ).
tcf(c_89090,plain,
segmentP(cons(sK60,app(sK59,sK58)),sK59),
inference(demodulation,[status(thm)],[c_53625,c_88921]) ).
tcf(c_89091,plain,
segmentP(cons(sK60,app(sK59,sK56)),sK59),
inference(demodulation,[status(thm)],[c_53623,c_88921]) ).
tcf(c_89093,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(demodulation,[status(thm)],[c_53157,c_88921]) ).
tcf(c_89094,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(demodulation,[status(thm)],[c_53153,c_88921]) ).
tcf(c_89095,plain,
! [X0: $i] :
( segmentP(cons(sK60,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(demodulation,[status(thm)],[c_53149,c_88921]) ).
tcf(c_89098,plain,
~ rearsegP(sK56,cons(sK60,app(sK56,sK56))),
inference(demodulation,[status(thm)],[c_53118,c_88921]) ).
tcf(c_89099,plain,
app(sK12(cons(sK60,app(sK56,sK56)),sK56),sK56) = cons(sK60,app(sK56,sK56)),
inference(demodulation,[status(thm)],[c_47293,c_88921]) ).
tcf(c_89100,plain,
~ rearsegP(sK59,cons(sK60,app(sK56,sK59))),
inference(demodulation,[status(thm)],[c_53052,c_88921]) ).
tcf(c_89101,plain,
app(sK12(cons(sK60,app(sK56,sK59)),sK59),sK59) = cons(sK60,app(sK56,sK59)),
inference(demodulation,[status(thm)],[c_47256,c_88921]) ).
tcf(c_89102,plain,
~ rearsegP(sK58,cons(sK60,app(sK56,sK58))),
inference(demodulation,[status(thm)],[c_52927,c_88921]) ).
tcf(c_89103,plain,
app(sK12(cons(sK60,app(sK56,sK58)),sK58),sK58) = cons(sK60,app(sK56,sK58)),
inference(demodulation,[status(thm)],[c_47234,c_88921]) ).
tcf(c_89104,plain,
! [X0: $i] :
( frontsegP(cons(sK60,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK60,sK56),X0) ),
inference(demodulation,[status(thm)],[c_46992,c_88921]) ).
tcf(c_89105,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK56,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK56),X0) ),
inference(demodulation,[status(thm)],[c_46988,c_88921]) ).
tcf(c_89106,plain,
~ rearsegP(sK56,cons(sK60,app(sK58,sK56))),
inference(demodulation,[status(thm)],[c_52533,c_88921]) ).
tcf(c_89107,plain,
! [X0: $i] :
( ( hd(app(iPr_def_11,X0)) = sK60 )
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c_19198,c_88921]) ).
tcf(c_89108,plain,
app(sK12(cons(sK60,app(sK58,sK56)),sK56),sK56) = cons(sK60,app(sK58,sK56)),
inference(demodulation,[status(thm)],[c_46883,c_88921]) ).
tcf(c_89109,plain,
! [X0: $i] :
( frontsegP(cons(sK60,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK60,sK58),X0) ),
inference(demodulation,[status(thm)],[c_46430,c_88921]) ).
tcf(c_89110,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK58,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK58),X0) ),
inference(demodulation,[status(thm)],[c_46426,c_88921]) ).
tcf(c_89111,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,sK56) != cons(sK60,sK56) ) ),
inference(demodulation,[status(thm)],[c_45754,c_88921]) ).
tcf(c_89112,plain,
! [X0: $i] :
( ( X0 = sK56 )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK60,sK56) ) ),
inference(demodulation,[status(thm)],[c_45750,c_88921]) ).
tcf(c_89113,plain,
~ rearsegP(sK56,cons(sK60,app(sK59,sK56))),
inference(demodulation,[status(thm)],[c_51341,c_88921]) ).
tcf(c_89114,plain,
app(sK12(cons(sK60,app(sK59,sK56)),sK56),sK56) = cons(sK60,app(sK59,sK56)),
inference(demodulation,[status(thm)],[c_45651,c_88921]) ).
tcf(c_89115,plain,
! [X0: $i] :
( frontsegP(cons(sK60,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK60,sK59),X0) ),
inference(demodulation,[status(thm)],[c_45389,c_88921]) ).
tcf(c_89116,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK59,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK59),X0) ),
inference(demodulation,[status(thm)],[c_45385,c_88921]) ).
tcf(c_89118,plain,
~ rearsegP(sK59,cons(sK60,app(sK58,sK59))),
inference(demodulation,[status(thm)],[c_50815,c_88921]) ).
tcf(c_89119,plain,
app(sK12(cons(sK60,app(sK58,sK59)),sK59),sK59) = cons(sK60,app(sK58,sK59)),
inference(demodulation,[status(thm)],[c_43445,c_88921]) ).
tcf(c_89120,plain,
~ rearsegP(sK58,cons(sK60,app(sK58,sK58))),
inference(demodulation,[status(thm)],[c_50690,c_88921]) ).
tcf(c_89121,plain,
app(sK12(cons(sK60,app(sK58,sK58)),sK58),sK58) = cons(sK60,app(sK58,sK58)),
inference(demodulation,[status(thm)],[c_43416,c_88921]) ).
tcf(c_89122,plain,
! [X0: $i] :
( frontsegP(cons(sK60,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK60,sK58),X0) ),
inference(demodulation,[status(thm)],[c_43232,c_88921]) ).
tcf(c_89123,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK58,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK58),X0) ),
inference(demodulation,[status(thm)],[c_43228,c_88921]) ).
tcf(c_89124,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,sK58) != cons(sK60,sK58) ) ),
inference(demodulation,[status(thm)],[c_42471,c_88921]) ).
tcf(c_89125,plain,
( ( sK58 = sK56 )
| ( cons(sK60,sK58) != cons(sK60,sK56) ) ),
inference(demodulation,[status(thm)],[c_50239,c_88921]) ).
tcf(c_89126,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK60,sK58) ) ),
inference(demodulation,[status(thm)],[c_42467,c_88921]) ).
tcf(c_89127,plain,
~ rearsegP(sK58,cons(sK60,app(sK59,sK58))),
inference(demodulation,[status(thm)],[c_50223,c_88921]) ).
tcf(c_89128,plain,
app(sK12(cons(sK60,app(sK59,sK58)),sK58),sK58) = cons(sK60,app(sK59,sK58)),
inference(demodulation,[status(thm)],[c_41964,c_88921]) ).
tcf(c_89129,plain,
! [X0: $i] :
( frontsegP(cons(sK60,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK60,sK59),X0) ),
inference(demodulation,[status(thm)],[c_41783,c_88921]) ).
tcf(c_89130,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK59,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK59),X0) ),
inference(demodulation,[status(thm)],[c_41779,c_88921]) ).
tcf(c_89131,plain,
cons(sK60,app(sK58,sK56)) != sK56,
inference(demodulation,[status(thm)],[c_46413,c_88921]) ).
tcf(c_89137,plain,
~ rearsegP(sK59,cons(sK60,app(sK59,sK59))),
inference(demodulation,[status(thm)],[c_49662,c_88921]) ).
tcf(c_89138,plain,
app(sK12(cons(sK60,app(sK59,sK59)),sK59),sK59) = cons(sK60,app(sK59,sK59)),
inference(demodulation,[status(thm)],[c_39364,c_88921]) ).
tcf(c_89139,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ ssList(X0)
| ( app(X0,sK59) != cons(sK60,sK59) ) ),
inference(demodulation,[status(thm)],[c_38527,c_88921]) ).
tcf(c_89140,plain,
( ( sK58 = sK59 )
| ( cons(sK60,sK58) != cons(sK60,sK59) ) ),
inference(demodulation,[status(thm)],[c_49452,c_88921]) ).
tcf(c_89141,plain,
( ( sK59 = sK56 )
| ( cons(sK60,sK59) != cons(sK60,sK56) ) ),
inference(demodulation,[status(thm)],[c_49449,c_88921]) ).
tcf(c_89142,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != cons(sK60,sK59) ) ),
inference(demodulation,[status(thm)],[c_38523,c_88921]) ).
tcf(c_89143,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK56,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK56),X0) ),
inference(demodulation,[status(thm)],[c_45745,c_88921]) ).
tcf(c_89144,plain,
cons(sK60,app(sK59,sK56)) != sK56,
inference(demodulation,[status(thm)],[c_45372,c_88921]) ).
tcf(c_89146,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK58,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK58),X0) ),
inference(demodulation,[status(thm)],[c_42462,c_88921]) ).
tcf(c_89147,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| memberP(sK59,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK59),X0) ),
inference(demodulation,[status(thm)],[c_38518,c_88921]) ).
tcf(c_89148,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK56,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(demodulation,[status(thm)],[c_47252,c_88921]) ).
tcf(c_89149,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(demodulation,[status(thm)],[c_47230,c_88921]) ).
tcf(c_89150,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK56,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_46983,c_88921]) ).
tcf(c_89151,plain,
cons(sK60,app(sK58,sK58)) != sK58,
inference(demodulation,[status(thm)],[c_43215,c_88921]) ).
tcf(c_89156,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK56,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_46979,c_88921]) ).
tcf(c_89157,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK58,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_46421,c_88921]) ).
tcf(c_89158,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK58,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_46417,c_88921]) ).
tcf(c_89159,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK59,sK56)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_45380,c_88921]) ).
tcf(c_89160,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK59,sK56)),X0)
| ~ ssItem(X0)
| ~ memberP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_45376,c_88921]) ).
tcf(c_89164,plain,
cons(sK60,app(sK59,sK58)) != sK58,
inference(demodulation,[status(thm)],[c_41766,c_88921]) ).
tcf(c_89168,plain,
frontsegP(cons(sK60,app(sK56,sK59)),cons(sK60,sK56)),
inference(demodulation,[status(thm)],[c_45771,c_88921]) ).
tcf(c_89169,plain,
frontsegP(cons(sK60,app(sK56,sK58)),cons(sK60,sK56)),
inference(demodulation,[status(thm)],[c_45768,c_88921]) ).
tcf(c_89171,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(demodulation,[status(thm)],[c_45741,c_88921]) ).
tcf(c_89172,plain,
! [X0: $i] :
( memberP(cons(sK60,sK56),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(demodulation,[status(thm)],[c_45737,c_88921]) ).
tcf(c_89175,plain,
cons(sK60,app(sK56,sK56)) != nil,
inference(demodulation,[status(thm)],[c_46987,c_88921]) ).
tcf(c_89176,plain,
frontsegP(cons(sK60,app(sK56,sK56)),cons(sK60,sK56)),
inference(demodulation,[status(thm)],[c_46974,c_88921]) ).
tcf(c_89178,plain,
rearsegP(cons(sK60,app(sK56,sK56)),sK56),
inference(demodulation,[status(thm)],[c_46973,c_88921]) ).
tcf(c_89179,plain,
rearsegP(cons(sK60,app(sK56,sK59)),sK59),
inference(demodulation,[status(thm)],[c_45772,c_88921]) ).
tcf(c_89180,plain,
rearsegP(cons(sK60,app(sK56,sK58)),sK58),
inference(demodulation,[status(thm)],[c_45769,c_88921]) ).
tcf(c_89181,plain,
ssList(cons(sK60,app(sK56,sK56))),
inference(demodulation,[status(thm)],[c_46972,c_88921]) ).
tcf(c_89182,plain,
cons(sK60,app(sK56,sK56)) = app(cons(sK60,sK56),sK56),
inference(demodulation,[status(thm)],[c_45008,c_88921]) ).
tcf(c_89183,plain,
cons(sK60,app(sK58,sK56)) != nil,
inference(demodulation,[status(thm)],[c_46425,c_88921]) ).
tcf(c_89184,plain,
frontsegP(cons(sK60,app(sK58,sK56)),cons(sK60,sK58)),
inference(demodulation,[status(thm)],[c_46412,c_88921]) ).
tcf(c_89185,plain,
rearsegP(cons(sK60,app(sK58,sK56)),sK56),
inference(demodulation,[status(thm)],[c_46411,c_88921]) ).
tcf(c_89186,plain,
ssList(cons(sK60,app(sK58,sK56))),
inference(demodulation,[status(thm)],[c_46410,c_88921]) ).
tcf(c_89187,plain,
cons(sK60,app(sK58,sK56)) = app(cons(sK60,sK58),sK56),
inference(demodulation,[status(thm)],[c_45007,c_88921]) ).
tcf(c_89190,plain,
ssList(cons(sK60,app(sK56,sK59))),
inference(demodulation,[status(thm)],[c_45773,c_88921]) ).
tcf(c_89191,plain,
ssList(cons(sK60,app(sK56,sK58))),
inference(demodulation,[status(thm)],[c_45770,c_88921]) ).
tcf(c_89192,plain,
frontsegP(cons(sK60,sK56),iPr_def_11),
inference(demodulation,[status(thm)],[c_45723,c_88921]) ).
tcf(c_89195,plain,
cons(sK60,sK56) = app(iPr_def_11,sK56),
inference(demodulation,[status(thm)],[c_45025,c_88921]) ).
tcf(c_89196,plain,
cons(sK60,app(sK59,sK56)) != nil,
inference(demodulation,[status(thm)],[c_45384,c_88921]) ).
tcf(c_89197,plain,
frontsegP(cons(sK60,app(sK59,sK56)),cons(sK60,sK59)),
inference(demodulation,[status(thm)],[c_45371,c_88921]) ).
tcf(c_89198,plain,
rearsegP(cons(sK60,app(sK59,sK56)),sK56),
inference(demodulation,[status(thm)],[c_45370,c_88921]) ).
tcf(c_89199,plain,
ssList(cons(sK60,app(sK59,sK56))),
inference(demodulation,[status(thm)],[c_45369,c_88921]) ).
tcf(c_89200,plain,
cons(sK60,app(sK59,sK56)) = app(cons(sK60,sK59),sK56),
inference(demodulation,[status(thm)],[c_45006,c_88921]) ).
tcf(c_89201,plain,
! [X0: $i] :
( ( cons(sK60,app(X0,sK56)) = app(cons(sK60,X0),sK56) )
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c_37365,c_88921]) ).
tcf(c_89202,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK58,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(demodulation,[status(thm)],[c_43441,c_88921]) ).
tcf(c_89207,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(demodulation,[status(thm)],[c_43223,c_88921]) ).
tcf(c_89208,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK58,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(demodulation,[status(thm)],[c_43219,c_88921]) ).
tcf(c_89209,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0) ),
inference(demodulation,[status(thm)],[c_41774,c_88921]) ).
tcf(c_89210,plain,
! [X0: $i] :
( memberP(cons(sK60,app(sK59,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(demodulation,[status(thm)],[c_41770,c_88921]) ).
tcf(c_89213,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(demodulation,[status(thm)],[c_42458,c_88921]) ).
tcf(c_89215,plain,
! [X0: $i] :
( memberP(cons(sK60,sK58),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(demodulation,[status(thm)],[c_42454,c_88921]) ).
tcf(c_89218,plain,
cons(sK60,app(sK56,sK58)) = app(cons(sK60,sK56),sK58),
inference(demodulation,[status(thm)],[c_41515,c_88921]) ).
tcf(c_89220,plain,
cons(sK60,app(sK58,sK58)) != nil,
inference(demodulation,[status(thm)],[c_43227,c_88921]) ).
tcf(c_89221,plain,
frontsegP(cons(sK60,app(sK58,sK59)),cons(sK60,sK58)),
inference(demodulation,[status(thm)],[c_42485,c_88921]) ).
tcf(c_89222,plain,
rearsegP(cons(sK60,app(sK58,sK59)),sK59),
inference(demodulation,[status(thm)],[c_42486,c_88921]) ).
tcf(c_89224,plain,
frontsegP(cons(sK60,app(sK58,sK58)),cons(sK60,sK58)),
inference(demodulation,[status(thm)],[c_43214,c_88921]) ).
tcf(c_89225,plain,
rearsegP(cons(sK60,app(sK58,sK58)),sK58),
inference(demodulation,[status(thm)],[c_43213,c_88921]) ).
tcf(c_89226,plain,
ssList(cons(sK60,app(sK58,sK58))),
inference(demodulation,[status(thm)],[c_43212,c_88921]) ).
tcf(c_89227,plain,
cons(sK60,app(sK58,sK58)) = app(cons(sK60,sK58),sK58),
inference(demodulation,[status(thm)],[c_41514,c_88921]) ).
tcf(c_89228,plain,
cons(sK60,app(sK59,sK58)) != nil,
inference(demodulation,[status(thm)],[c_41778,c_88921]) ).
tcf(c_89229,plain,
frontsegP(cons(sK60,app(sK59,sK58)),cons(sK60,sK59)),
inference(demodulation,[status(thm)],[c_41765,c_88921]) ).
tcf(c_89231,plain,
ssList(cons(sK60,app(sK58,sK59))),
inference(demodulation,[status(thm)],[c_42487,c_88921]) ).
tcf(c_89232,plain,
frontsegP(cons(sK60,sK58),iPr_def_11),
inference(demodulation,[status(thm)],[c_42440,c_88921]) ).
tcf(c_89235,plain,
cons(sK60,sK58) = app(iPr_def_11,sK58),
inference(demodulation,[status(thm)],[c_41528,c_88921]) ).
tcf(c_89236,plain,
rearsegP(cons(sK60,app(sK59,sK58)),sK58),
inference(demodulation,[status(thm)],[c_41764,c_88921]) ).
tcf(c_89237,plain,
ssList(cons(sK60,app(sK59,sK58))),
inference(demodulation,[status(thm)],[c_41763,c_88921]) ).
tcf(c_89238,plain,
cons(sK60,app(sK59,sK58)) = app(cons(sK60,sK59),sK58),
inference(demodulation,[status(thm)],[c_41513,c_88921]) ).
tcf(c_89239,plain,
! [X0: $i] :
( ( cons(sK60,app(X0,sK58)) = app(cons(sK60,X0),sK58) )
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c_37364,c_88921]) ).
tcf(c_89240,plain,
! [X0: $i] :
( rearsegP(cons(sK60,app(sK59,sK59)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK59,X0) ),
inference(demodulation,[status(thm)],[c_39360,c_88921]) ).
tcf(c_89241,plain,
frontsegP(cons(sK60,app(sK59,sK59)),cons(sK60,sK59)),
inference(demodulation,[status(thm)],[c_40229,c_88921]) ).
tcf(c_89244,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK59),X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(demodulation,[status(thm)],[c_38514,c_88921]) ).
tcf(c_89246,plain,
! [X0: $i] :
( memberP(cons(sK60,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(demodulation,[status(thm)],[c_38510,c_88921]) ).
tcf(c_89249,plain,
rearsegP(cons(sK60,app(sK59,sK59)),sK59),
inference(demodulation,[status(thm)],[c_39355,c_88921]) ).
tcf(c_89250,plain,
cons(sK60,app(sK56,sK59)) = app(cons(sK60,sK56),sK59),
inference(demodulation,[status(thm)],[c_37873,c_88921]) ).
tcf(c_89253,plain,
ssList(cons(sK60,app(sK59,sK59))),
inference(demodulation,[status(thm)],[c_38541,c_88921]) ).
tcf(c_89254,plain,
frontsegP(cons(sK60,sK59),iPr_def_11),
inference(demodulation,[status(thm)],[c_38493,c_88921]) ).
tcf(c_89257,plain,
cons(sK60,sK59) = app(iPr_def_11,sK59),
inference(demodulation,[status(thm)],[c_37883,c_88921]) ).
tcf(c_89258,plain,
cons(sK60,app(sK58,sK59)) = app(cons(sK60,sK58),sK59),
inference(demodulation,[status(thm)],[c_37872,c_88921]) ).
tcf(c_89259,plain,
cons(sK60,app(sK59,sK59)) = app(cons(sK60,sK59),sK59),
inference(demodulation,[status(thm)],[c_37871,c_88921]) ).
tcf(c_89260,plain,
! [X0: $i] :
( ( cons(sK60,app(X0,sK59)) = app(cons(sK60,X0),sK59) )
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c_37363,c_88921]) ).
tcf(c_89262,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != iPr_def_11 ) ),
inference(demodulation,[status(thm)],[c_27744,c_88921]) ).
tcf(c_89264,plain,
sK10(iPr_def_11) = sK60,
inference(demodulation,[status(thm)],[c_34906,c_88921]) ).
tcf(c_89266,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(iPr_def_11,cons(X0,X1)) ),
inference(demodulation,[status(thm)],[c_27481,c_88921]) ).
tcf(c_89267,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),iPr_def_11) ),
inference(demodulation,[status(thm)],[c_27471,c_88921]) ).
tcf(c_89271,plain,
! [X0: $i] :
( ( X0 = sK60 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(demodulation,[status(thm)],[c_25676,c_88921]) ).
tcf(c_89274,plain,
( memberP(sK58,sK60)
| ( app(sK8(sK59,sK60),cons(sK60,sK9(sK59,sK60))) = sK59 ) ),
inference(demodulation,[status(thm)],[c_22923,c_88921]) ).
tcf(c_89277,plain,
app(sK8(iPr_def_12,sK60),cons(sK60,sK9(iPr_def_12,sK60))) = iPr_def_12,
inference(demodulation,[status(thm)],[c_22921,c_88921]) ).
tcf(c_89278,plain,
app(sK8(iPr_def_11,sK60),cons(sK60,sK9(iPr_def_11,sK60))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_22920,c_88921]) ).
tcf(c_89282,plain,
app(nil,sK8(iPr_def_10,sK60)) = sK8(iPr_def_10,sK60),
inference(demodulation,[status(thm)],[c_22067,c_88921]) ).
tcf(c_89284,plain,
! [X0: $i] :
( frontsegP(iPr_def_11,cons(sK60,X0))
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(demodulation,[status(thm)],[c_20847,c_88921]) ).
tcf(c_89285,plain,
! [X0: $i] :
( frontsegP(cons(sK60,X0),iPr_def_11)
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c_21304,c_88921]) ).
tcf(c_89286,plain,
sK51(iPr_def_11) = sK60,
inference(demodulation,[status(thm)],[c_14752,c_88921]) ).
tcf(c_89287,plain,
hd(iPr_def_11) = sK60,
inference(demodulation,[status(thm)],[c_14676,c_88921]) ).
tcf(c_89296,plain,
( ( app(nil,sK8(sK59,sK60)) = sK8(sK59,sK60) )
| ( app(nil,sK8(sK58,sK60)) = sK8(sK58,sK60) ) ),
inference(demodulation,[status(thm)],[c_13379,c_88921]) ).
tcf(c_89297,plain,
( memberP(sK58,sK60)
| ( app(nil,sK8(sK59,sK60)) = sK8(sK59,sK60) ) ),
inference(demodulation,[status(thm)],[c_13224,c_88921]) ).
tcf(c_89298,plain,
app(nil,sK8(iPr_def_12,sK60)) = sK8(iPr_def_12,sK60),
inference(demodulation,[status(thm)],[c_13223,c_88921]) ).
tcf(c_89299,plain,
app(nil,sK8(iPr_def_11,sK60)) = sK8(iPr_def_11,sK60),
inference(demodulation,[status(thm)],[c_13222,c_88921]) ).
tcf(c_89300,plain,
memberP(iPr_def_12,sK60),
inference(demodulation,[status(thm)],[c_12858,c_88921]) ).
tcf(c_89301,plain,
memberP(iPr_def_11,sK60),
inference(demodulation,[status(thm)],[c_12779,c_88921]) ).
tcf(c_89302,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK60)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_11)) ),
inference(demodulation,[status(thm)],[c_12209,c_88921]) ).
tcf(c_89303,plain,
cons(sK60,nil) = iPr_def_11,
inference(demodulation,[status(thm)],[c_8903,c_88921]) ).
tcf(c_89304,plain,
( memberP(sK59,sK60)
| memberP(sK58,sK60) ),
inference(demodulation,[status(thm)],[c_8917,c_88921]) ).
tcf(c_89308,plain,
iPr_def_10 = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_89303,c_8902]) ).
tcf(c_89309,plain,
cons(sK60,iPr_def_10) != iPr_def_12,
inference(demodulation,[status(thm)],[c_87623,c_89308]) ).
tcf(c_89310,plain,
~ segmentP(nil,cons(sK60,iPr_def_10)),
inference(demodulation,[status(thm)],[c_88448,c_89308]) ).
tcf(c_89311,plain,
segmentP(cons(sK60,iPr_def_10),nil),
inference(demodulation,[status(thm)],[c_87614,c_89308]) ).
tcf(c_89312,plain,
cons(sK60,iPr_def_10) != nil,
inference(demodulation,[status(thm)],[c_87628,c_89308]) ).
tcf(c_89313,plain,
frontsegP(cons(sK60,iPr_def_10),iPr_def_10),
inference(demodulation,[status(thm)],[c_87618,c_89308]) ).
tcf(c_89314,plain,
rearsegP(cons(sK60,iPr_def_10),iPr_def_10),
inference(demodulation,[status(thm)],[c_87617,c_89308]) ).
tcf(c_89315,plain,
( ( cons(sK60,iPr_def_10) = sK59 )
| ~ segmentP(sK59,cons(sK60,iPr_def_10)) ),
inference(demodulation,[status(thm)],[c_88039,c_89308]) ).
tcf(c_89316,plain,
segmentP(cons(sK60,iPr_def_10),sK59),
inference(demodulation,[status(thm)],[c_87613,c_89308]) ).
tcf(c_89317,plain,
ssList(cons(sK60,iPr_def_10)),
inference(demodulation,[status(thm)],[c_87616,c_89308]) ).
tcf(c_89321,plain,
( rearsegP(iPr_def_12,sK11(iPr_def_10,iPr_def_10))
| ~ ssList(sK11(iPr_def_10,iPr_def_10)) ),
inference(demodulation,[status(thm)],[c_53193,c_89308]) ).
tcf(c_89323,plain,
( ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),iPr_def_12) ),
inference(demodulation,[status(thm)],[c_58870,c_89308]) ).
tcf(c_89324,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(demodulation,[status(thm)],[c_58829,c_89308]) ).
tcf(c_89325,plain,
( ( tl(iPr_def_12) = sK59 )
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),sK59) ),
inference(demodulation,[status(thm)],[c_58825,c_89308]) ).
tcf(c_89326,plain,
( ( app(tl(iPr_def_12),sK11(sK59,tl(iPr_def_12))) = sK59 )
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_58822,c_89308]) ).
tcf(c_89328,plain,
( frontsegP(iPr_def_10,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_58597,c_89308]) ).
tcf(c_89329,plain,
( frontsegP(iPr_def_12,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_58594,c_89308]) ).
tcf(c_89330,plain,
( frontsegP(sK59,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_58591,c_89308]) ).
tcf(c_89332,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(demodulation,[status(thm)],[c_58686,c_89308]) ).
tcf(c_89333,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(demodulation,[status(thm)],[c_58665,c_89308]) ).
tcf(c_89334,plain,
( ( tl(iPr_def_12) = sK58 )
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),sK58) ),
inference(demodulation,[status(thm)],[c_58682,c_89308]) ).
tcf(c_89335,plain,
( ( app(tl(iPr_def_12),sK11(sK58,tl(iPr_def_12))) = sK58 )
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_58679,c_89308]) ).
tcf(c_89336,plain,
( ( tl(iPr_def_12) = sK56 )
| ~ frontsegP(iPr_def_10,iPr_def_12)
| ~ frontsegP(tl(iPr_def_12),sK56) ),
inference(demodulation,[status(thm)],[c_58661,c_89308]) ).
tcf(c_89337,plain,
( ( app(tl(iPr_def_12),sK11(sK56,tl(iPr_def_12))) = sK56 )
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_58658,c_89308]) ).
tcf(c_89338,plain,
( frontsegP(sK58,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_58588,c_89308]) ).
tcf(c_89339,plain,
( frontsegP(sK56,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_58585,c_89308]) ).
tcf(c_89341,plain,
( frontsegP(nil,tl(iPr_def_12))
| ~ frontsegP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_57565,c_89308]) ).
tcf(c_89342,plain,
( frontsegP(iPr_def_12,sK12(iPr_def_12,iPr_def_10))
| ~ ssList(sK12(iPr_def_12,iPr_def_10)) ),
inference(demodulation,[status(thm)],[c_32664,c_89308]) ).
tcf(c_89346,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(demodulation,[status(thm)],[c_31514,c_89308]) ).
tcf(c_89358,plain,
( ( nil = sK58 )
| ( iPr_def_10 != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_30579,c_89308]) ).
tcf(c_89359,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ segmentP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_31511,c_89308]) ).
tcf(c_89360,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(demodulation,[status(thm)],[c_26892,c_89308]) ).
tcf(c_89361,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ rearsegP(iPr_def_10,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_18894,c_89308]) ).
tcf(c_89362,plain,
app(sK12(iPr_def_12,iPr_def_10),iPr_def_10) = iPr_def_12,
inference(demodulation,[status(thm)],[c_18311,c_89308]) ).
tcf(c_89367,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ ssList(X0)
| ( app(sK58,X0) != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_25944,c_89308]) ).
tcf(c_89368,plain,
segmentP(iPr_def_12,iPr_def_10),
inference(demodulation,[status(thm)],[c_30539,c_89308]) ).
tcf(c_89369,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_25227,c_89308]) ).
tcf(c_89370,plain,
segmentP(iPr_def_10,iPr_def_10),
inference(demodulation,[status(thm)],[c_30541,c_89308]) ).
tcf(c_89371,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_10)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(demodulation,[status(thm)],[c_26311,c_89308]) ).
tcf(c_89374,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| memberP(sK58,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(demodulation,[status(thm)],[c_22492,c_89308]) ).
tcf(c_89375,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0) ),
inference(demodulation,[status(thm)],[c_19075,c_89308]) ).
tcf(c_89378,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(demodulation,[status(thm)],[c_18421,c_89308]) ).
tcf(c_89386,plain,
rearsegP(iPr_def_12,iPr_def_10),
inference(demodulation,[status(thm)],[c_13496,c_89308]) ).
tcf(c_89395,plain,
app(sK58,iPr_def_10) = iPr_def_12,
inference(demodulation,[status(thm)],[c_8904,c_89308]) ).
tcf(c_89430,plain,
frontsegP(nil,tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_89341,c_18258]) ).
tcf(c_89431,plain,
tl(iPr_def_12) = nil,
inference(backward_subsumption_resolution,[status(thm)],[c_33730,c_89430]) ).
tcf(c_89434,plain,
cons(hd(iPr_def_12),nil) = iPr_def_12,
inference(demodulation,[status(thm)],[c_57522,c_89431]) ).
tcf(c_89450,plain,
sK52(iPr_def_12) = nil,
inference(demodulation,[status(thm)],[c_19011,c_89431]) ).
tcf(c_89451,plain,
frontsegP(sK56,tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_89339,c_18258]) ).
tcf(c_89452,plain,
frontsegP(sK58,tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_89338,c_18258]) ).
tcf(c_89453,plain,
app(tl(iPr_def_12),sK11(sK56,tl(iPr_def_12))) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_89337,c_18258]) ).
tcf(c_89454,plain,
( ( tl(iPr_def_12) = sK56 )
| ~ frontsegP(tl(iPr_def_12),sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89336,c_18258]) ).
tcf(c_89457,plain,
app(tl(iPr_def_12),sK11(sK58,tl(iPr_def_12))) = sK58,
inference(forward_subsumption_resolution,[status(thm)],[c_89335,c_18258]) ).
tcf(c_89458,plain,
( ( tl(iPr_def_12) = sK58 )
| ~ frontsegP(tl(iPr_def_12),sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89334,c_18258]) ).
tcf(c_89461,plain,
! [X0: $i] :
( frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89333,c_18258]) ).
tcf(c_89465,plain,
! [X0: $i] :
( frontsegP(sK58,X0)
| ~ ssList(X0)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89332,c_18258]) ).
tcf(c_89469,plain,
frontsegP(sK59,tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_89330,c_18258]) ).
tcf(c_89470,plain,
frontsegP(iPr_def_12,tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_89329,c_18258]) ).
tcf(c_89471,plain,
frontsegP(iPr_def_10,tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_89328,c_18258]) ).
tcf(c_89472,plain,
app(tl(iPr_def_12),sK11(sK59,tl(iPr_def_12))) = sK59,
inference(forward_subsumption_resolution,[status(thm)],[c_89326,c_18258]) ).
tcf(c_89473,plain,
( ( tl(iPr_def_12) = sK59 )
| ~ frontsegP(tl(iPr_def_12),sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89325,c_18258]) ).
tcf(c_89476,plain,
! [X0: $i] :
( frontsegP(sK59,X0)
| ~ ssList(X0)
| ~ frontsegP(tl(iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89324,c_18258]) ).
tcf(c_89480,plain,
~ frontsegP(tl(iPr_def_12),iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_89323,c_18258]) ).
tcf(c_89732,plain,
( ( nil = sK58 )
| ( hd(sK58) = sK60 ) ),
inference(demodulation,[status(thm)],[c_21413,c_88922]) ).
tcf(c_89734,plain,
sK51(iPr_def_12) = sK60,
inference(demodulation,[status(thm)],[c_17652,c_88922]) ).
tcf(c_89816,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK8(X0,X1)),sK58) = app(sK56,app(sK8(X0,X1),sK58)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_74273]) ).
tcf(c_89817,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK9(X0,X1)),sK58) = app(sK56,app(sK9(X0,X1),sK58)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_74273]) ).
tcf(c_89818,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,app(X0,X1)),sK58) = app(sK56,app(app(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_74273]) ).
tcf(c_89819,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK11(X0,X1)),sK58) = app(sK56,app(sK11(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_74273]) ).
tcf(c_89820,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK12(X0,X1)),sK58) = app(sK56,app(sK12(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_74273]) ).
tcf(c_89821,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK13(X0,X1)),sK58) = app(sK56,app(sK13(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_74273]) ).
tcf(c_89822,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,sK14(X0,X1)),sK58) = app(sK56,app(sK14(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_74273]) ).
tcf(c_89832,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK56,sK34(X0)),sK58) = app(sK56,app(sK34(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_74273]) ).
tcf(c_89833,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK56,sK33(X0)),sK58) = app(sK56,app(sK33(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_74273]) ).
tcf(c_89834,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK56,sK32(X0)),sK58) = app(sK56,app(sK32(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_74273]) ).
tcf(c_89835,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK56,sK39(X0)),sK58) = app(sK56,app(sK39(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_74273]) ).
tcf(c_89836,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK56,sK38(X0)),sK58) = app(sK56,app(sK38(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_74273]) ).
tcf(c_89837,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK56,sK37(X0)),sK58) = app(sK56,app(sK37(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_74273]) ).
tcf(c_89838,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK56,sK44(X0)),sK58) = app(sK56,app(sK44(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_74273]) ).
tcf(c_89839,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK56,sK43(X0)),sK58) = app(sK56,app(sK43(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_74273]) ).
tcf(c_89840,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK56,sK42(X0)),sK58) = app(sK56,app(sK42(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_74273]) ).
tcf(c_89841,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK56,sK48(X0)),sK58) = app(sK56,app(sK48(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_74273]) ).
tcf(c_89842,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK56,sK47(X0)),sK58) = app(sK56,app(sK47(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_74273]) ).
tcf(c_89843,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK56,cons(X0,X1)),sK58) = app(sK56,app(cons(X0,X1),sK58)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_74273]) ).
tcf(c_89844,plain,
app(app(sK56,nil),sK58) = app(sK56,app(nil,sK58)),
inference(superposition,[status(thm)],[c_141,c_74273]) ).
tcf(c_89845,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK56,sK49(X0)),sK58) = app(sK56,app(sK49(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_74273]) ).
tcf(c_89846,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK56,tl(X0)),sK58) = app(sK56,app(tl(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_74273]) ).
tcf(c_89847,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK56,sK52(X0)),sK58) = app(sK56,app(sK52(X0),sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_74273]) ).
tcf(c_89848,plain,
app(app(sK56,sK59),sK58) = app(sK56,app(sK59,sK58)),
inference(superposition,[status(thm)],[c_8916,c_74273]) ).
tcf(c_89849,plain,
app(app(sK56,sK58),sK58) = app(sK56,app(sK58,sK58)),
inference(superposition,[status(thm)],[c_8915,c_74273]) ).
tcf(c_89850,plain,
app(app(sK56,sK56),sK58) = app(sK56,app(sK56,sK58)),
inference(superposition,[status(thm)],[c_8907,c_74273]) ).
tcf(c_89851,plain,
app(app(sK56,iPr_def_12),sK58) = app(sK56,app(iPr_def_12,sK58)),
inference(superposition,[status(thm)],[c_12842,c_74273]) ).
tcf(c_89852,plain,
app(app(sK56,iPr_def_10),sK58) = app(sK56,app(iPr_def_10,sK58)),
inference(superposition,[status(thm)],[c_18245,c_74273]) ).
tcf(c_89853,plain,
( ( nil = sK59 )
| ( app(app(sK56,tl(sK59)),sK58) = app(sK56,app(tl(sK59),sK58)) ) ),
inference(superposition,[status(thm)],[c_15329,c_74273]) ).
tcf(c_89854,plain,
( ( nil = sK58 )
| ( app(app(sK56,tl(sK58)),sK58) = app(sK56,app(tl(sK58),sK58)) ) ),
inference(superposition,[status(thm)],[c_15365,c_74273]) ).
tcf(c_89855,plain,
( ( nil = sK56 )
| ( app(app(sK56,tl(sK56)),sK58) = app(sK56,app(tl(sK56),sK58)) ) ),
inference(superposition,[status(thm)],[c_15756,c_74273]) ).
tcf(c_89856,plain,
app(app(sK56,cons(sK60,sK59)),sK58) = app(sK56,app(cons(sK60,sK59),sK58)),
inference(superposition,[status(thm)],[c_83680,c_74273]) ).
tcf(c_89857,plain,
app(app(sK56,cons(sK60,sK58)),sK58) = app(sK56,app(cons(sK60,sK58),sK58)),
inference(superposition,[status(thm)],[c_84476,c_74273]) ).
tcf(c_89858,plain,
app(app(sK56,cons(sK60,sK56)),sK58) = app(sK56,app(cons(sK60,sK56),sK58)),
inference(superposition,[status(thm)],[c_84910,c_74273]) ).
tcf(c_89859,plain,
app(app(sK56,cons(sK60,iPr_def_12)),sK58) = app(sK56,app(cons(sK60,iPr_def_12),sK58)),
inference(superposition,[status(thm)],[c_85563,c_74273]) ).
tcf(c_89860,plain,
( ( app(app(sK56,app(sK59,app(sK59,sK59))),sK58) = app(sK56,app(app(sK59,app(sK59,sK59)),sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_74273]) ).
tcf(c_89861,plain,
( ( app(app(sK56,app(sK59,app(sK58,sK59))),sK58) = app(sK56,app(app(sK59,app(sK58,sK59)),sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_74273]) ).
tcf(c_89862,plain,
( ( app(app(sK56,app(sK59,app(sK56,sK59))),sK58) = app(sK56,app(app(sK59,app(sK56,sK59)),sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_74273]) ).
tcf(c_89863,plain,
( ( app(app(sK56,app(sK58,app(sK59,sK59))),sK58) = app(sK56,app(app(sK58,app(sK59,sK59)),sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_74273]) ).
tcf(c_89864,plain,
( ( app(app(sK56,app(sK58,app(sK58,sK59))),sK58) = app(sK56,app(app(sK58,app(sK58,sK59)),sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_74273]) ).
tcf(c_89865,plain,
( ( app(app(sK56,app(sK58,app(sK56,sK59))),sK58) = app(sK56,app(app(sK58,app(sK56,sK59)),sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_74273]) ).
tcf(c_89866,plain,
( ( app(app(sK56,app(sK56,app(sK59,sK59))),sK58) = app(sK56,app(app(sK56,app(sK59,sK59)),sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_74273]) ).
tcf(c_89867,plain,
( ( app(app(sK56,app(sK56,app(sK58,sK59))),sK58) = app(sK56,app(app(sK56,app(sK58,sK59)),sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_74273]) ).
tcf(c_89868,plain,
( ( app(app(sK56,app(sK56,app(sK56,sK59))),sK58) = app(sK56,app(app(sK56,app(sK56,sK59)),sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_74273]) ).
tcf(c_89869,plain,
( ( app(app(sK56,app(sK59,app(sK59,sK58))),sK58) = app(sK56,app(app(sK59,app(sK59,sK58)),sK58)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_74273]) ).
tcf(c_89870,plain,
( ( app(app(sK56,app(sK59,app(sK58,sK58))),sK58) = app(sK56,app(app(sK59,app(sK58,sK58)),sK58)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_74273]) ).
tcf(c_89871,plain,
( ( app(app(sK56,app(sK59,app(sK56,sK58))),sK58) = app(sK56,app(app(sK59,app(sK56,sK58)),sK58)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_74273]) ).
tcf(c_89872,plain,
( ( app(app(sK56,app(sK58,app(sK59,sK58))),sK58) = app(sK56,app(app(sK58,app(sK59,sK58)),sK58)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_74273]) ).
tcf(c_89873,plain,
( ( app(app(sK56,app(sK58,app(sK58,sK58))),sK58) = app(sK56,app(app(sK58,app(sK58,sK58)),sK58)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_74273]) ).
tcf(c_89874,plain,
( ( app(app(sK56,app(sK58,app(sK56,sK58))),sK58) = app(sK56,app(app(sK58,app(sK56,sK58)),sK58)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_74273]) ).
tcf(c_89875,plain,
app(app(sK56,iPr_def_10),sK58) = app(sK56,cons(sK60,sK58)),
inference(light_normalisation,[status(thm)],[c_89852,c_83219]) ).
tcf(c_89877,plain,
app(app(sK56,cons(sK60,sK56)),sK58) = app(sK56,cons(sK60,app(sK56,sK58))),
inference(light_normalisation,[status(thm)],[c_89858,c_89218]) ).
tcf(c_89878,plain,
app(app(sK56,cons(sK60,sK58)),sK58) = app(sK56,cons(sK60,app(sK58,sK58))),
inference(light_normalisation,[status(thm)],[c_89857,c_89227]) ).
tcf(c_89879,plain,
app(app(sK56,cons(sK60,sK59)),sK58) = app(sK56,cons(sK60,app(sK59,sK58))),
inference(light_normalisation,[status(thm)],[c_89856,c_89238]) ).
tcf(c_90012,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK59,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(app(app(sK56,sK59),sK58),X0)) ),
inference(superposition,[status(thm)],[c_89848,c_67]) ).
tcf(c_90015,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK56,sK59),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ memberP(app(sK56,app(sK59,sK58)),X0) ),
inference(superposition,[status(thm)],[c_89848,c_167]) ).
tcf(c_90016,plain,
( ( app(sK56,sK59) = nil )
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_89848,c_231]) ).
tcf(c_90017,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_89848,c_230]) ).
tcf(c_90018,plain,
( frontsegP(app(sK56,app(sK59,sK58)),app(sK56,sK59))
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_89848,c_382]) ).
tcf(c_90019,plain,
( rearsegP(app(sK56,app(sK59,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_89848,c_379]) ).
tcf(c_90020,plain,
( ssList(app(sK56,app(sK59,sK58)))
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_89848,c_153]) ).
tcf(c_90021,plain,
! [X0: $i] :
( ( app(sK56,sK59) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK58)) != app(X0,sK58) ) ),
inference(superposition,[status(thm)],[c_89848,c_225]) ).
tcf(c_90022,plain,
( segmentP(app(sK56,app(sK59,sK58)),sK59)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(app(sK56,sK59),sK58)) ),
inference(superposition,[status(thm)],[c_89848,c_67]) ).
tcf(c_90023,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ( app(app(sK56,sK59),X0) != app(sK56,app(sK59,sK58)) ) ),
inference(superposition,[status(thm)],[c_89848,c_226]) ).
tcf(c_90024,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ~ frontsegP(app(sK56,sK59),X0) ),
inference(superposition,[status(thm)],[c_89848,c_176]) ).
tcf(c_90025,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ memberP(app(sK56,sK59),X0) ),
inference(superposition,[status(thm)],[c_89848,c_165]) ).
tcf(c_90026,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK59,sK58)),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_89848,c_193]) ).
tcf(c_90027,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_89848,c_186]) ).
tcf(c_90028,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_89848,c_166]) ).
tcf(c_90029,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK59,sK58)),X0)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_89848,c_193]) ).
tcf(c_90030,plain,
( ( app(sK56,sK59) = nil )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_89848,c_25207]) ).
tcf(c_90031,plain,
( ssList(app(sK56,app(sK59,sK58)))
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90020,c_8915]) ).
tcf(c_90034,plain,
( rearsegP(app(sK56,app(sK59,sK58)),sK58)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90019,c_8915]) ).
tcf(c_90037,plain,
( frontsegP(app(sK56,app(sK59,sK58)),app(sK56,sK59))
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90018,c_8915]) ).
tcf(c_90043,plain,
( ( nil = sK58 )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90017,c_8915]) ).
tcf(c_90047,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK59,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90028,c_8915]) ).
tcf(c_90052,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90027,c_8915]) ).
tcf(c_90057,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90029,c_8907,c_8916,c_8915]) ).
tcf(c_90061,plain,
( segmentP(app(sK56,app(sK59,sK58)),sK59)
| ~ ssList(sK56)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssList(app(sK56,app(sK59,sK58))) ),
inference(light_normalisation,[status(thm)],[c_90022,c_89848]) ).
tcf(c_90062,plain,
( segmentP(app(sK56,app(sK59,sK58)),sK59)
| ~ ssList(app(sK56,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90061,c_8907,c_8916,c_8915]) ).
tcf(c_90065,plain,
( ( app(sK56,sK59) = nil )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90016,c_8915]) ).
tcf(c_90069,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK59,sK58)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ memberP(app(sK56,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90025,c_8915]) ).
tcf(c_90074,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK59,sK58)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ~ frontsegP(app(sK56,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90024,c_8915]) ).
tcf(c_90079,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK59,sK58)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK56,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90026,c_8915]) ).
tcf(c_90085,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK56,sK59),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK59))
| ~ memberP(app(sK56,app(sK59,sK58)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90015,c_8915]) ).
tcf(c_90091,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ( app(app(sK56,sK59),X0) != app(sK56,app(sK59,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90023,c_8915]) ).
tcf(c_90096,plain,
! [X0: $i] :
( ( app(sK56,sK59) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90021,c_8915]) ).
tcf(c_90101,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK59,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(app(sK56,app(sK59,sK58)),X0)) ),
inference(light_normalisation,[status(thm)],[c_90012,c_89848]) ).
tcf(c_90102,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK59,sK58)),X0),sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(app(sK56,app(sK59,sK58)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90101,c_8915]) ).
tcf(c_90123,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ( app(sK58,iPr_def_12) = nil )
| ( app(sK58,iPr_def_12) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK58,iPr_def_12))
| ( hd(X0) != hd(sK58) )
| ( tl(app(sK58,iPr_def_12)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_21404,c_223]) ).
tcf(c_90124,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK58,iPr_def_12)))
| ( nil = sK58 )
| ( app(sK58,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ strictorderedP(app(sK58,iPr_def_12))
| ~ ssList(app(sK58,iPr_def_12))
| ~ lt(X0,hd(sK58)) ),
inference(superposition,[status(thm)],[c_21404,c_212]) ).
tcf(c_90125,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK58,iPr_def_12)))
| ( nil = sK58 )
| ( app(sK58,iPr_def_12) = nil )
| ~ ssItem(X0)
| ~ totalorderedP(app(sK58,iPr_def_12))
| ~ ssList(app(sK58,iPr_def_12))
| ~ leq(X0,hd(sK58)) ),
inference(superposition,[status(thm)],[c_21404,c_206]) ).
tcf(c_90150,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK56),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK56))
| ~ ssList(app(app(cons(sK60,sK56),nil),X0)) ),
inference(superposition,[status(thm)],[c_85017,c_67]) ).
tcf(c_90159,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK56))
| ( app(X0,nil) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_85017,c_225]) ).
tcf(c_90160,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK56))
| ( app(cons(sK60,sK56),X0) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_85017,c_226]) ).
tcf(c_90163,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK56),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_85017,c_193]) ).
tcf(c_90164,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_85017,c_186]) ).
tcf(c_90169,plain,
! [X0: $i] :
( rearsegP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90164,c_141,c_84910]) ).
tcf(c_90173,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK56),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90163,c_141,c_84910]) ).
tcf(c_90178,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK60,sK56),X0) != cons(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90160,c_141,c_84910]) ).
tcf(c_90182,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90159,c_141,c_84910]) ).
tcf(c_90186,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK56),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK56))
| ~ ssList(app(cons(sK60,sK56),X0)) ),
inference(light_normalisation,[status(thm)],[c_90150,c_85017]) ).
tcf(c_90187,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK56),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90186,c_141,c_84910]) ).
tcf(c_90194,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK60,sK56),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK60,sK56)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_85018,c_122]) ).
tcf(c_90195,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK60,sK56),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK60,sK56)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_85018,c_114]) ).
tcf(c_90196,plain,
! [X0: $i] :
( ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK56),cons(sK60,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK60,sK56)),cons(sK60,X0))) ),
inference(superposition,[status(thm)],[c_85018,c_130]) ).
tcf(c_90201,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK56),X0),cons(sK60,sK56))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK56))
| ~ ssList(app(app(nil,cons(sK60,sK56)),X0)) ),
inference(superposition,[status(thm)],[c_85018,c_67]) ).
tcf(c_90210,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK56))
| ( app(X0,cons(sK60,sK56)) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_85018,c_225]) ).
tcf(c_90214,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK56))
| ( app(nil,X0) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_85018,c_226]) ).
tcf(c_90215,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_85018,c_176]) ).
tcf(c_90217,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK56),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK56))
| ~ segmentP(cons(sK60,sK56),X0) ),
inference(superposition,[status(thm)],[c_85018,c_193]) ).
tcf(c_90220,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90215,c_141,c_84910]) ).
tcf(c_90224,plain,
! [X0: $i] :
( ( cons(sK60,sK56) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90214,c_141,c_84910]) ).
tcf(c_90228,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK60,sK56)) != cons(sK60,sK56) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90210,c_141,c_84910]) ).
tcf(c_90232,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK56),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(cons(sK60,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90217,c_141,c_84910]) ).
tcf(c_90237,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK56),X0),cons(sK60,sK56))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK56))
| ~ ssList(app(cons(sK60,sK56),X0)) ),
inference(light_normalisation,[status(thm)],[c_90201,c_85018]) ).
tcf(c_90238,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,sK56),X0),cons(sK60,sK56))
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90237,c_141,c_84910]) ).
tcf(c_90260,plain,
! [X0: $i] :
( ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK60,sK56),cons(sK60,X0)))
| ~ ssList(app(cons(sK60,sK56),cons(sK60,X0))) ),
inference(light_normalisation,[status(thm)],[c_90196,c_85018]) ).
tcf(c_90261,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK60,sK56),cons(sK60,X0)))
| ~ ssList(app(cons(sK60,sK56),cons(sK60,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90260,c_8907,c_141,c_18252]) ).
tcf(c_90265,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK60,sK56),cons(X0,X1)))
| ~ ssList(app(cons(sK60,sK56),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_90195,c_85018]) ).
tcf(c_90266,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK60,sK56),cons(X0,X1)))
| ~ ssList(app(cons(sK60,sK56),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90265,c_8907,c_141,c_18252]) ).
tcf(c_90272,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK60,sK56),cons(X0,X1)))
| ~ ssList(app(cons(sK60,sK56),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_90194,c_85018]) ).
tcf(c_90273,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK60,sK56),cons(X0,X1)))
| ~ ssList(app(cons(sK60,sK56),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90272,c_8907,c_141,c_18252]) ).
tcf(c_90287,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_12),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_12))
| ~ ssList(app(app(cons(sK60,iPr_def_12),nil),X0)) ),
inference(superposition,[status(thm)],[c_86251,c_67]) ).
tcf(c_90296,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_12) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_12))
| ( app(X0,nil) != cons(sK60,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_86251,c_225]) ).
tcf(c_90297,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_12))
| ( app(cons(sK60,iPr_def_12),X0) != cons(sK60,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_86251,c_226]) ).
tcf(c_90300,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,iPr_def_12),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_86251,c_193]) ).
tcf(c_90301,plain,
! [X0: $i] :
( rearsegP(cons(sK60,iPr_def_12),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_86251,c_186]) ).
tcf(c_90306,plain,
! [X0: $i] :
( rearsegP(cons(sK60,iPr_def_12),X0)
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90301,c_141,c_85563]) ).
tcf(c_90310,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,iPr_def_12),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90300,c_141,c_85563]) ).
tcf(c_90315,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK60,iPr_def_12),X0) != cons(sK60,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90297,c_141,c_85563]) ).
tcf(c_90319,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_12) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK60,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90296,c_141,c_85563]) ).
tcf(c_90323,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_12),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_12))
| ~ ssList(app(cons(sK60,iPr_def_12),X0)) ),
inference(light_normalisation,[status(thm)],[c_90287,c_86251]) ).
tcf(c_90324,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_12),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,iPr_def_12),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90323,c_141,c_85563]) ).
tcf(c_90331,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK60,iPr_def_12),cons(X0,X1)))
| ~ strictorderedP(app(app(nil,cons(sK60,iPr_def_12)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_86252,c_122]) ).
tcf(c_90332,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(app(cons(sK60,iPr_def_12),cons(X0,X1)))
| ~ totalorderedP(app(app(nil,cons(sK60,iPr_def_12)),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_86252,c_114]) ).
tcf(c_90333,plain,
! [X0: $i] :
( ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,iPr_def_12),cons(sK60,X0)))
| ~ duplicatefreeP(app(app(nil,cons(sK60,iPr_def_12)),cons(sK60,X0))) ),
inference(superposition,[status(thm)],[c_86252,c_130]) ).
tcf(c_90338,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_12),X0),cons(sK60,iPr_def_12))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_12))
| ~ ssList(app(app(nil,cons(sK60,iPr_def_12)),X0)) ),
inference(superposition,[status(thm)],[c_86252,c_67]) ).
tcf(c_90347,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_12))
| ( app(X0,cons(sK60,iPr_def_12)) != cons(sK60,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_86252,c_225]) ).
tcf(c_90351,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_12) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_12))
| ( app(nil,X0) != cons(sK60,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_86252,c_226]) ).
tcf(c_90352,plain,
! [X0: $i] :
( frontsegP(cons(sK60,iPr_def_12),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_86252,c_176]) ).
tcf(c_90354,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,iPr_def_12),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_12))
| ~ segmentP(cons(sK60,iPr_def_12),X0) ),
inference(superposition,[status(thm)],[c_86252,c_193]) ).
tcf(c_90357,plain,
! [X0: $i] :
( frontsegP(cons(sK60,iPr_def_12),X0)
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90352,c_141,c_85563]) ).
tcf(c_90361,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_12) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK60,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90351,c_141,c_85563]) ).
tcf(c_90365,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK60,iPr_def_12)) != cons(sK60,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90347,c_141,c_85563]) ).
tcf(c_90369,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,iPr_def_12),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(cons(sK60,iPr_def_12),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90354,c_141,c_85563]) ).
tcf(c_90374,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_12),X0),cons(sK60,iPr_def_12))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK60,iPr_def_12))
| ~ ssList(app(cons(sK60,iPr_def_12),X0)) ),
inference(light_normalisation,[status(thm)],[c_90338,c_86252]) ).
tcf(c_90375,plain,
! [X0: $i] :
( segmentP(app(cons(sK60,iPr_def_12),X0),cons(sK60,iPr_def_12))
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,iPr_def_12),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90374,c_141,c_85563]) ).
tcf(c_90397,plain,
! [X0: $i] :
( ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK60,iPr_def_12),cons(sK60,X0)))
| ~ ssList(app(cons(sK60,iPr_def_12),cons(sK60,X0))) ),
inference(light_normalisation,[status(thm)],[c_90333,c_86252]) ).
tcf(c_90398,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(cons(sK60,iPr_def_12),cons(sK60,X0)))
| ~ ssList(app(cons(sK60,iPr_def_12),cons(sK60,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90397,c_12842,c_141,c_18252]) ).
tcf(c_90402,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK60,iPr_def_12),cons(X0,X1)))
| ~ ssList(app(cons(sK60,iPr_def_12),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_90332,c_86252]) ).
tcf(c_90403,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ totalorderedP(app(cons(sK60,iPr_def_12),cons(X0,X1)))
| ~ ssList(app(cons(sK60,iPr_def_12),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90402,c_12842,c_141,c_18252]) ).
tcf(c_90409,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK60,iPr_def_12),cons(X0,X1)))
| ~ ssList(app(cons(sK60,iPr_def_12),cons(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_90331,c_86252]) ).
tcf(c_90410,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ strictorderedP(app(cons(sK60,iPr_def_12),cons(X0,X1)))
| ~ ssList(app(cons(sK60,iPr_def_12),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90409,c_12842,c_141,c_18252]) ).
tcf(c_90428,plain,
( ( app(app(sK13(iPr_def_12,iPr_def_10),iPr_def_10),sK14(iPr_def_12,iPr_def_10)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_89368,c_70]) ).
tcf(c_90429,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ segmentP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_89368,c_190]) ).
tcf(c_90430,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ~ segmentP(iPr_def_10,iPr_def_12) ),
inference(superposition,[status(thm)],[c_89368,c_191]) ).
tcf(c_90433,plain,
app(app(sK13(iPr_def_12,iPr_def_10),iPr_def_10),sK14(iPr_def_12,iPr_def_10)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_90428,c_12842,c_18245]) ).
tcf(c_90434,plain,
( ( app(app(sK13(iPr_def_10,iPr_def_10),iPr_def_10),sK14(iPr_def_10,iPr_def_10)) = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_89370,c_70]) ).
tcf(c_90437,plain,
app(app(sK13(iPr_def_10,iPr_def_10),iPr_def_10),sK14(iPr_def_10,iPr_def_10)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_90434,c_18245]) ).
tcf(c_90442,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK56,app(sK59,sK58))) = app(X0,app(X1,app(sK56,app(sK59,sK58)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_228]) ).
tcf(c_90443,plain,
( ( app(app(sK56,app(sK56,app(sK59,sK58))),sK58) = app(sK56,app(app(sK56,app(sK59,sK58)),sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_74273]) ).
tcf(c_90444,plain,
( ( cons(sK60,app(sK56,app(sK59,sK58))) = app(iPr_def_10,app(sK56,app(sK59,sK58))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_18957]) ).
tcf(c_90445,plain,
( ( app(sK12(app(sK56,app(sK59,sK58)),nil),nil) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_18312]) ).
tcf(c_90446,plain,
( ( app(sK12(app(sK56,app(sK59,sK58)),app(sK56,app(sK59,sK58))),app(sK56,app(sK59,sK58))) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_18284]) ).
tcf(c_90447,plain,
( ( app(nil,sK11(app(sK56,app(sK59,sK58)),nil)) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_17822]) ).
tcf(c_90448,plain,
( ( app(app(sK58,app(sK56,app(sK59,sK58))),sK58) = app(sK58,app(app(sK56,app(sK59,sK58)),sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_74272]) ).
tcf(c_90449,plain,
( ( app(app(sK56,app(sK59,sK58)),sK11(app(sK56,app(sK59,sK58)),app(sK56,app(sK59,sK58)))) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_17782]) ).
tcf(c_90450,plain,
( ( app(app(sK59,app(sK56,app(sK59,sK58))),sK58) = app(sK59,app(app(sK56,app(sK59,sK58)),sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_74271]) ).
tcf(c_90451,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK59,sK58)),X0),sK58) = app(app(sK56,app(sK59,sK58)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_22630]) ).
tcf(c_90452,plain,
( ( app(app(sK56,app(sK56,app(sK59,sK58))),sK59) = app(sK56,app(app(sK56,app(sK59,sK58)),sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_63530]) ).
tcf(c_90453,plain,
( ( app(app(sK58,app(sK56,app(sK59,sK58))),sK59) = app(sK58,app(app(sK56,app(sK59,sK58)),sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_63529]) ).
tcf(c_90454,plain,
( ( app(app(sK59,app(sK56,app(sK59,sK58))),sK59) = app(sK59,app(app(sK56,app(sK59,sK58)),sK59)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_63528]) ).
tcf(c_90455,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK59,sK58)),X0),sK59) = app(app(sK56,app(sK59,sK58)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_22629]) ).
tcf(c_90456,plain,
( ( hd(cons(sK60,app(sK56,app(sK59,sK58)))) = sK60 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_18952]) ).
tcf(c_90457,plain,
( ( tl(cons(sK60,app(sK56,app(sK59,sK58)))) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_18951]) ).
tcf(c_90458,plain,
( ( tl(cons(sK7,app(sK56,app(sK59,sK58)))) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_13978]) ).
tcf(c_90459,plain,
( ( tl(cons(sK6,app(sK56,app(sK59,sK58)))) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_13977]) ).
tcf(c_90460,plain,
( ( hd(cons(sK7,app(sK56,app(sK59,sK58)))) = sK7 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_13802]) ).
tcf(c_90461,plain,
( ( hd(cons(sK6,app(sK56,app(sK59,sK58)))) = sK6 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_13801]) ).
tcf(c_90462,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK56,app(sK59,sK58))) = tl(app(sK56,app(sK56,app(sK59,sK58)))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_21660]) ).
tcf(c_90463,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK56,app(sK59,sK58))) = tl(app(sK58,app(sK56,app(sK59,sK58)))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_21659]) ).
tcf(c_90464,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK56,app(sK59,sK58))) = tl(app(sK59,app(sK56,app(sK59,sK58)))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_21658]) ).
tcf(c_90465,plain,
( duplicatefreeP(app(sK56,app(sK59,sK58)))
| ( app(app(sK42(app(sK56,app(sK59,sK58))),cons(sK40(app(sK56,app(sK59,sK58))),sK43(app(sK56,app(sK59,sK58))))),cons(sK41(app(sK56,app(sK59,sK58))),sK44(app(sK56,app(sK59,sK58))))) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_124]) ).
tcf(c_90466,plain,
( strictorderedP(app(sK56,app(sK59,sK58)))
| ( app(app(sK37(app(sK56,app(sK59,sK58))),cons(sK35(app(sK56,app(sK59,sK58))),sK38(app(sK56,app(sK59,sK58))))),cons(sK36(app(sK56,app(sK59,sK58))),sK39(app(sK56,app(sK59,sK58))))) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_116]) ).
tcf(c_90467,plain,
( totalorderedP(app(sK56,app(sK59,sK58)))
| ( app(app(sK32(app(sK56,app(sK59,sK58))),cons(sK30(app(sK56,app(sK59,sK58))),sK33(app(sK56,app(sK59,sK58))))),cons(sK31(app(sK56,app(sK59,sK58))),sK34(app(sK56,app(sK59,sK58))))) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_108]) ).
tcf(c_90468,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK56,app(sK59,sK58)))) = hd(sK56) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_19187]) ).
tcf(c_90469,plain,
! [X0: $i] :
( ( app(sK56,app(sK59,sK58)) = nil )
| ( app(tl(app(sK56,app(sK59,sK58))),X0) = tl(app(app(sK56,app(sK59,sK58)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_234]) ).
tcf(c_90470,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK56,app(sK59,sK58)))) = hd(sK58) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_19186]) ).
tcf(c_90471,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK56,app(sK59,sK58)))) = hd(sK59) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_19185]) ).
tcf(c_90472,plain,
( equalelemsP(app(sK56,app(sK59,sK58)))
| ( app(sK47(app(sK56,app(sK59,sK58))),cons(sK45(app(sK56,app(sK59,sK58))),cons(sK46(app(sK56,app(sK59,sK58))),sK48(app(sK56,app(sK59,sK58)))))) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_132]) ).
tcf(c_90473,plain,
! [X0: $i] :
( ( app(sK56,app(sK59,sK58)) = nil )
| ( hd(app(app(sK56,app(sK59,sK58)),X0)) = hd(app(sK56,app(sK59,sK58))) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_233]) ).
tcf(c_90474,plain,
( ( app(sK56,app(sK59,sK58)) = nil )
| ( cons(hd(app(sK56,app(sK59,sK58))),tl(app(sK56,app(sK59,sK58)))) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_224]) ).
tcf(c_90475,plain,
( ( app(sK56,app(sK59,sK58)) = nil )
| ( cons(sK50(app(sK56,app(sK59,sK58))),sK49(app(sK56,app(sK59,sK58)))) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_147]) ).
tcf(c_90476,plain,
( ( app(sK56,app(sK59,sK58)) = nil )
| ( tl(app(sK56,app(sK59,sK58))) = sK52(app(sK56,app(sK59,sK58))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_222]) ).
tcf(c_90477,plain,
( ( app(sK56,app(sK59,sK58)) = nil )
| ( hd(app(sK56,app(sK59,sK58))) = sK51(app(sK56,app(sK59,sK58))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_220]) ).
tcf(c_90478,plain,
( duplicatefreeP(app(sK56,app(sK59,sK58)))
| ( sK40(app(sK56,app(sK59,sK58))) = sK41(app(sK56,app(sK59,sK58))) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_123]) ).
tcf(c_90479,plain,
( ( app(app(sK56,app(sK59,sK58)),nil) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_232]) ).
tcf(c_90480,plain,
( ( app(nil,app(sK56,app(sK59,sK58))) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_155]) ).
tcf(c_90587,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK58,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(app(app(sK56,sK58),sK58),X0)) ),
inference(superposition,[status(thm)],[c_89849,c_67]) ).
tcf(c_90590,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK56,sK58),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ memberP(app(sK56,app(sK58,sK58)),X0) ),
inference(superposition,[status(thm)],[c_89849,c_167]) ).
tcf(c_90591,plain,
( ( app(sK56,sK58) = nil )
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_89849,c_231]) ).
tcf(c_90592,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_89849,c_230]) ).
tcf(c_90593,plain,
( frontsegP(app(sK56,app(sK58,sK58)),app(sK56,sK58))
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_89849,c_382]) ).
tcf(c_90594,plain,
( rearsegP(app(sK56,app(sK58,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_89849,c_379]) ).
tcf(c_90595,plain,
( ssList(app(sK56,app(sK58,sK58)))
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_89849,c_153]) ).
tcf(c_90596,plain,
! [X0: $i] :
( ( app(sK56,sK58) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK58)) != app(X0,sK58) ) ),
inference(superposition,[status(thm)],[c_89849,c_225]) ).
tcf(c_90597,plain,
( segmentP(app(sK56,app(sK58,sK58)),sK58)
| ~ ssList(sK56)
| ~ ssList(sK58)
| ~ ssList(app(app(sK56,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_89849,c_67]) ).
tcf(c_90598,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ( app(app(sK56,sK58),X0) != app(sK56,app(sK58,sK58)) ) ),
inference(superposition,[status(thm)],[c_89849,c_226]) ).
tcf(c_90599,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ~ frontsegP(app(sK56,sK58),X0) ),
inference(superposition,[status(thm)],[c_89849,c_176]) ).
tcf(c_90600,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ memberP(app(sK56,sK58),X0) ),
inference(superposition,[status(thm)],[c_89849,c_165]) ).
tcf(c_90601,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK58,sK58)),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_89849,c_193]) ).
tcf(c_90602,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_89849,c_186]) ).
tcf(c_90603,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_89849,c_166]) ).
tcf(c_90604,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK58,sK58)),X0)
| ~ ssList(sK56)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_89849,c_193]) ).
tcf(c_90605,plain,
( ( app(sK56,sK58) = nil )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_89849,c_25207]) ).
tcf(c_90606,plain,
( ssList(app(sK56,app(sK58,sK58)))
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90595,c_8915]) ).
tcf(c_90609,plain,
( rearsegP(app(sK56,app(sK58,sK58)),sK58)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90594,c_8915]) ).
tcf(c_90612,plain,
( frontsegP(app(sK56,app(sK58,sK58)),app(sK56,sK58))
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90593,c_8915]) ).
tcf(c_90618,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90604,c_8907,c_8915]) ).
tcf(c_90622,plain,
( segmentP(app(sK56,app(sK58,sK58)),sK58)
| ~ ssList(sK56)
| ~ ssList(sK58)
| ~ ssList(app(sK56,app(sK58,sK58))) ),
inference(light_normalisation,[status(thm)],[c_90597,c_89849]) ).
tcf(c_90623,plain,
( segmentP(app(sK56,app(sK58,sK58)),sK58)
| ~ ssList(app(sK56,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90622,c_8907,c_8915]) ).
tcf(c_90626,plain,
( ( nil = sK58 )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90592,c_8915]) ).
tcf(c_90630,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK58,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90603,c_8915]) ).
tcf(c_90635,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90602,c_8915]) ).
tcf(c_90640,plain,
( ( app(sK56,sK58) = nil )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90591,c_8915]) ).
tcf(c_90644,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK58,sK58)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ memberP(app(sK56,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90600,c_8915]) ).
tcf(c_90649,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK58,sK58)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ~ frontsegP(app(sK56,sK58),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90599,c_8915]) ).
tcf(c_90654,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK58,sK58)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK56,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90601,c_8915]) ).
tcf(c_90660,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK56,sK58),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK58))
| ~ memberP(app(sK56,app(sK58,sK58)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90590,c_8915]) ).
tcf(c_90666,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ( app(app(sK56,sK58),X0) != app(sK56,app(sK58,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90598,c_8915]) ).
tcf(c_90671,plain,
! [X0: $i] :
( ( app(sK56,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90596,c_8915]) ).
tcf(c_90676,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK58,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(app(sK56,app(sK58,sK58)),X0)) ),
inference(light_normalisation,[status(thm)],[c_90587,c_89849]) ).
tcf(c_90677,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK58,sK58)),X0),sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(app(sK56,app(sK58,sK58)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90676,c_8915]) ).
tcf(c_90696,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK56,app(sK58,sK58))) = app(X0,app(X1,app(sK56,app(sK58,sK58)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_228]) ).
tcf(c_90697,plain,
( ( app(app(sK56,app(sK56,app(sK58,sK58))),sK58) = app(sK56,app(app(sK56,app(sK58,sK58)),sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_74273]) ).
tcf(c_90698,plain,
( ( cons(sK60,app(sK56,app(sK58,sK58))) = app(iPr_def_10,app(sK56,app(sK58,sK58))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_18957]) ).
tcf(c_90699,plain,
( ( app(sK12(app(sK56,app(sK58,sK58)),nil),nil) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_18312]) ).
tcf(c_90700,plain,
( ( app(sK12(app(sK56,app(sK58,sK58)),app(sK56,app(sK58,sK58))),app(sK56,app(sK58,sK58))) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_18284]) ).
tcf(c_90701,plain,
( ( app(nil,sK11(app(sK56,app(sK58,sK58)),nil)) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_17822]) ).
tcf(c_90702,plain,
( ( app(app(sK58,app(sK56,app(sK58,sK58))),sK58) = app(sK58,app(app(sK56,app(sK58,sK58)),sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_74272]) ).
tcf(c_90703,plain,
( ( app(app(sK56,app(sK58,sK58)),sK11(app(sK56,app(sK58,sK58)),app(sK56,app(sK58,sK58)))) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_17782]) ).
tcf(c_90704,plain,
( ( app(app(sK59,app(sK56,app(sK58,sK58))),sK58) = app(sK59,app(app(sK56,app(sK58,sK58)),sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_74271]) ).
tcf(c_90705,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK58,sK58)),X0),sK58) = app(app(sK56,app(sK58,sK58)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_22630]) ).
tcf(c_90706,plain,
( ( app(app(sK56,app(sK56,app(sK58,sK58))),sK59) = app(sK56,app(app(sK56,app(sK58,sK58)),sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_63530]) ).
tcf(c_90707,plain,
( ( app(app(sK58,app(sK56,app(sK58,sK58))),sK59) = app(sK58,app(app(sK56,app(sK58,sK58)),sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_63529]) ).
tcf(c_90708,plain,
( ( app(app(sK59,app(sK56,app(sK58,sK58))),sK59) = app(sK59,app(app(sK56,app(sK58,sK58)),sK59)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_63528]) ).
tcf(c_90709,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK58,sK58)),X0),sK59) = app(app(sK56,app(sK58,sK58)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_22629]) ).
tcf(c_90710,plain,
( ( hd(cons(sK60,app(sK56,app(sK58,sK58)))) = sK60 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_18952]) ).
tcf(c_90711,plain,
( ( tl(cons(sK60,app(sK56,app(sK58,sK58)))) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_18951]) ).
tcf(c_90712,plain,
( ( tl(cons(sK7,app(sK56,app(sK58,sK58)))) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_13978]) ).
tcf(c_90713,plain,
( ( tl(cons(sK6,app(sK56,app(sK58,sK58)))) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_13977]) ).
tcf(c_90714,plain,
( ( hd(cons(sK7,app(sK56,app(sK58,sK58)))) = sK7 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_13802]) ).
tcf(c_90715,plain,
( ( hd(cons(sK6,app(sK56,app(sK58,sK58)))) = sK6 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_13801]) ).
tcf(c_90716,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK56,app(sK58,sK58))) = tl(app(sK56,app(sK56,app(sK58,sK58)))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_21660]) ).
tcf(c_90717,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK56,app(sK58,sK58))) = tl(app(sK58,app(sK56,app(sK58,sK58)))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_21659]) ).
tcf(c_90718,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK56,app(sK58,sK58))) = tl(app(sK59,app(sK56,app(sK58,sK58)))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_21658]) ).
tcf(c_90719,plain,
( duplicatefreeP(app(sK56,app(sK58,sK58)))
| ( app(app(sK42(app(sK56,app(sK58,sK58))),cons(sK40(app(sK56,app(sK58,sK58))),sK43(app(sK56,app(sK58,sK58))))),cons(sK41(app(sK56,app(sK58,sK58))),sK44(app(sK56,app(sK58,sK58))))) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_124]) ).
tcf(c_90720,plain,
( strictorderedP(app(sK56,app(sK58,sK58)))
| ( app(app(sK37(app(sK56,app(sK58,sK58))),cons(sK35(app(sK56,app(sK58,sK58))),sK38(app(sK56,app(sK58,sK58))))),cons(sK36(app(sK56,app(sK58,sK58))),sK39(app(sK56,app(sK58,sK58))))) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_116]) ).
tcf(c_90721,plain,
( totalorderedP(app(sK56,app(sK58,sK58)))
| ( app(app(sK32(app(sK56,app(sK58,sK58))),cons(sK30(app(sK56,app(sK58,sK58))),sK33(app(sK56,app(sK58,sK58))))),cons(sK31(app(sK56,app(sK58,sK58))),sK34(app(sK56,app(sK58,sK58))))) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_108]) ).
tcf(c_90722,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK56,app(sK58,sK58)))) = hd(sK56) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_19187]) ).
tcf(c_90723,plain,
! [X0: $i] :
( ( app(sK56,app(sK58,sK58)) = nil )
| ( app(tl(app(sK56,app(sK58,sK58))),X0) = tl(app(app(sK56,app(sK58,sK58)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_234]) ).
tcf(c_90724,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK56,app(sK58,sK58)))) = hd(sK58) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_19186]) ).
tcf(c_90725,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK56,app(sK58,sK58)))) = hd(sK59) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_19185]) ).
tcf(c_90726,plain,
( equalelemsP(app(sK56,app(sK58,sK58)))
| ( app(sK47(app(sK56,app(sK58,sK58))),cons(sK45(app(sK56,app(sK58,sK58))),cons(sK46(app(sK56,app(sK58,sK58))),sK48(app(sK56,app(sK58,sK58)))))) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_132]) ).
tcf(c_90727,plain,
! [X0: $i] :
( ( app(sK56,app(sK58,sK58)) = nil )
| ( hd(app(app(sK56,app(sK58,sK58)),X0)) = hd(app(sK56,app(sK58,sK58))) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_233]) ).
tcf(c_90728,plain,
( ( app(sK56,app(sK58,sK58)) = nil )
| ( cons(hd(app(sK56,app(sK58,sK58))),tl(app(sK56,app(sK58,sK58)))) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_224]) ).
tcf(c_90729,plain,
( ( app(sK56,app(sK58,sK58)) = nil )
| ( cons(sK50(app(sK56,app(sK58,sK58))),sK49(app(sK56,app(sK58,sK58)))) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_147]) ).
tcf(c_90730,plain,
( ( app(sK56,app(sK58,sK58)) = nil )
| ( tl(app(sK56,app(sK58,sK58))) = sK52(app(sK56,app(sK58,sK58))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_222]) ).
tcf(c_90731,plain,
( ( app(sK56,app(sK58,sK58)) = nil )
| ( hd(app(sK56,app(sK58,sK58))) = sK51(app(sK56,app(sK58,sK58))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_220]) ).
tcf(c_90732,plain,
( duplicatefreeP(app(sK56,app(sK58,sK58)))
| ( sK40(app(sK56,app(sK58,sK58))) = sK41(app(sK56,app(sK58,sK58))) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_123]) ).
tcf(c_90733,plain,
( ( app(app(sK56,app(sK58,sK58)),nil) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_232]) ).
tcf(c_90734,plain,
( ( app(nil,app(sK56,app(sK58,sK58))) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_155]) ).
tcf(c_90841,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK56,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(app(app(sK56,sK56),sK58),X0)) ),
inference(superposition,[status(thm)],[c_89850,c_67]) ).
tcf(c_90844,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK56,sK56),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ memberP(app(sK56,app(sK56,sK58)),X0) ),
inference(superposition,[status(thm)],[c_89850,c_167]) ).
tcf(c_90845,plain,
( ( app(sK56,sK56) = nil )
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_89850,c_231]) ).
tcf(c_90846,plain,
( ( nil = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK58)) != nil ) ),
inference(superposition,[status(thm)],[c_89850,c_230]) ).
tcf(c_90847,plain,
( frontsegP(app(sK56,app(sK56,sK58)),app(sK56,sK56))
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_89850,c_382]) ).
tcf(c_90848,plain,
( rearsegP(app(sK56,app(sK56,sK58)),sK58)
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_89850,c_379]) ).
tcf(c_90849,plain,
( ssList(app(sK56,app(sK56,sK58)))
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_89850,c_153]) ).
tcf(c_90850,plain,
! [X0: $i] :
( ( app(sK56,sK56) = X0 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK58)) != app(X0,sK58) ) ),
inference(superposition,[status(thm)],[c_89850,c_225]) ).
tcf(c_90851,plain,
( segmentP(app(sK56,app(sK56,sK58)),sK56)
| ~ ssList(sK56)
| ~ ssList(sK58)
| ~ ssList(app(app(sK56,sK56),sK58)) ),
inference(superposition,[status(thm)],[c_89850,c_67]) ).
tcf(c_90852,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ( app(app(sK56,sK56),X0) != app(sK56,app(sK56,sK58)) ) ),
inference(superposition,[status(thm)],[c_89850,c_226]) ).
tcf(c_90853,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ~ frontsegP(app(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_89850,c_176]) ).
tcf(c_90854,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ memberP(app(sK56,sK56),X0) ),
inference(superposition,[status(thm)],[c_89850,c_165]) ).
tcf(c_90855,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK56,sK58)),X1),X0)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_89850,c_193]) ).
tcf(c_90856,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_89850,c_186]) ).
tcf(c_90857,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_89850,c_166]) ).
tcf(c_90858,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK56,sK58)),X0)
| ~ ssList(sK56)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_89850,c_193]) ).
tcf(c_90859,plain,
( ( app(sK56,sK56) = nil )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK58)) != sK58 ) ),
inference(superposition,[status(thm)],[c_89850,c_25207]) ).
tcf(c_90860,plain,
( ssList(app(sK56,app(sK56,sK58)))
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90849,c_8915]) ).
tcf(c_90863,plain,
( rearsegP(app(sK56,app(sK56,sK58)),sK58)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90848,c_8915]) ).
tcf(c_90866,plain,
( frontsegP(app(sK56,app(sK56,sK58)),app(sK56,sK56))
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90847,c_8915]) ).
tcf(c_90872,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90858,c_8907,c_8915]) ).
tcf(c_90876,plain,
( segmentP(app(sK56,app(sK56,sK58)),sK56)
| ~ ssList(sK56)
| ~ ssList(sK58)
| ~ ssList(app(sK56,app(sK56,sK58))) ),
inference(light_normalisation,[status(thm)],[c_90851,c_89850]) ).
tcf(c_90877,plain,
( segmentP(app(sK56,app(sK56,sK58)),sK56)
| ~ ssList(app(sK56,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90876,c_8907,c_8915]) ).
tcf(c_90880,plain,
( ( nil = sK58 )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90846,c_8915]) ).
tcf(c_90884,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK56,sK58)),X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90857,c_8915]) ).
tcf(c_90889,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90856,c_8915]) ).
tcf(c_90894,plain,
( ( app(sK56,sK56) = nil )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK58)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90845,c_8915]) ).
tcf(c_90898,plain,
! [X0: $i] :
( memberP(app(sK56,app(sK56,sK58)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ memberP(app(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90854,c_8915]) ).
tcf(c_90903,plain,
! [X0: $i] :
( frontsegP(app(sK56,app(sK56,sK58)),X0)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ~ frontsegP(app(sK56,sK56),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90853,c_8915]) ).
tcf(c_90908,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK56,app(sK56,sK58)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK56,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90855,c_8915]) ).
tcf(c_90914,plain,
! [X0: $i] :
( memberP(sK58,X0)
| memberP(app(sK56,sK56),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK56,sK56))
| ~ memberP(app(sK56,app(sK56,sK58)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90844,c_8915]) ).
tcf(c_90920,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ( app(app(sK56,sK56),X0) != app(sK56,app(sK56,sK58)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90852,c_8915]) ).
tcf(c_90925,plain,
! [X0: $i] :
( ( app(sK56,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK58)) != app(X0,sK58) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90850,c_8915]) ).
tcf(c_90930,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK56,sK58)),X0),sK58)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(app(sK56,app(sK56,sK58)),X0)) ),
inference(light_normalisation,[status(thm)],[c_90841,c_89850]) ).
tcf(c_90931,plain,
! [X0: $i] :
( segmentP(app(app(sK56,app(sK56,sK58)),X0),sK58)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(app(sK56,app(sK56,sK58)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90930,c_8915]) ).
tcf(c_90950,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),app(sK56,app(sK56,sK58))) = app(X0,app(X1,app(sK56,app(sK56,sK58)))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_228]) ).
tcf(c_90951,plain,
( ( app(app(sK56,app(sK56,app(sK56,sK58))),sK58) = app(sK56,app(app(sK56,app(sK56,sK58)),sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_74273]) ).
tcf(c_90952,plain,
( ( cons(sK60,app(sK56,app(sK56,sK58))) = app(iPr_def_10,app(sK56,app(sK56,sK58))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_18957]) ).
tcf(c_90953,plain,
( ( app(sK12(app(sK56,app(sK56,sK58)),nil),nil) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_18312]) ).
tcf(c_90954,plain,
( ( app(sK12(app(sK56,app(sK56,sK58)),app(sK56,app(sK56,sK58))),app(sK56,app(sK56,sK58))) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_18284]) ).
tcf(c_90955,plain,
( ( app(nil,sK11(app(sK56,app(sK56,sK58)),nil)) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_17822]) ).
tcf(c_90956,plain,
( ( app(app(sK58,app(sK56,app(sK56,sK58))),sK58) = app(sK58,app(app(sK56,app(sK56,sK58)),sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_74272]) ).
tcf(c_90957,plain,
( ( app(app(sK56,app(sK56,sK58)),sK11(app(sK56,app(sK56,sK58)),app(sK56,app(sK56,sK58)))) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_17782]) ).
tcf(c_90958,plain,
( ( app(app(sK59,app(sK56,app(sK56,sK58))),sK58) = app(sK59,app(app(sK56,app(sK56,sK58)),sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_74271]) ).
tcf(c_90959,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK56,sK58)),X0),sK58) = app(app(sK56,app(sK56,sK58)),app(X0,sK58)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_22630]) ).
tcf(c_90960,plain,
( ( app(app(sK56,app(sK56,app(sK56,sK58))),sK59) = app(sK56,app(app(sK56,app(sK56,sK58)),sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_63530]) ).
tcf(c_90961,plain,
( ( app(app(sK58,app(sK56,app(sK56,sK58))),sK59) = app(sK58,app(app(sK56,app(sK56,sK58)),sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_63529]) ).
tcf(c_90962,plain,
( ( app(app(sK59,app(sK56,app(sK56,sK58))),sK59) = app(sK59,app(app(sK56,app(sK56,sK58)),sK59)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_63528]) ).
tcf(c_90963,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK56,sK58)),X0),sK59) = app(app(sK56,app(sK56,sK58)),app(X0,sK59)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_22629]) ).
tcf(c_90964,plain,
( ( hd(cons(sK60,app(sK56,app(sK56,sK58)))) = sK60 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_18952]) ).
tcf(c_90965,plain,
( ( tl(cons(sK60,app(sK56,app(sK56,sK58)))) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_18951]) ).
tcf(c_90966,plain,
( ( tl(cons(sK7,app(sK56,app(sK56,sK58)))) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_13978]) ).
tcf(c_90967,plain,
( ( tl(cons(sK6,app(sK56,app(sK56,sK58)))) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_13977]) ).
tcf(c_90968,plain,
( ( hd(cons(sK7,app(sK56,app(sK56,sK58)))) = sK7 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_13802]) ).
tcf(c_90969,plain,
( ( hd(cons(sK6,app(sK56,app(sK56,sK58)))) = sK6 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_13801]) ).
tcf(c_90970,plain,
( ( nil = sK56 )
| ( app(tl(sK56),app(sK56,app(sK56,sK58))) = tl(app(sK56,app(sK56,app(sK56,sK58)))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_21660]) ).
tcf(c_90971,plain,
( ( nil = sK58 )
| ( app(tl(sK58),app(sK56,app(sK56,sK58))) = tl(app(sK58,app(sK56,app(sK56,sK58)))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_21659]) ).
tcf(c_90972,plain,
( ( nil = sK59 )
| ( app(tl(sK59),app(sK56,app(sK56,sK58))) = tl(app(sK59,app(sK56,app(sK56,sK58)))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_21658]) ).
tcf(c_90973,plain,
( duplicatefreeP(app(sK56,app(sK56,sK58)))
| ( app(app(sK42(app(sK56,app(sK56,sK58))),cons(sK40(app(sK56,app(sK56,sK58))),sK43(app(sK56,app(sK56,sK58))))),cons(sK41(app(sK56,app(sK56,sK58))),sK44(app(sK56,app(sK56,sK58))))) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_124]) ).
tcf(c_90974,plain,
( strictorderedP(app(sK56,app(sK56,sK58)))
| ( app(app(sK37(app(sK56,app(sK56,sK58))),cons(sK35(app(sK56,app(sK56,sK58))),sK38(app(sK56,app(sK56,sK58))))),cons(sK36(app(sK56,app(sK56,sK58))),sK39(app(sK56,app(sK56,sK58))))) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_116]) ).
tcf(c_90975,plain,
( totalorderedP(app(sK56,app(sK56,sK58)))
| ( app(app(sK32(app(sK56,app(sK56,sK58))),cons(sK30(app(sK56,app(sK56,sK58))),sK33(app(sK56,app(sK56,sK58))))),cons(sK31(app(sK56,app(sK56,sK58))),sK34(app(sK56,app(sK56,sK58))))) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_108]) ).
tcf(c_90976,plain,
( ( nil = sK56 )
| ( hd(app(sK56,app(sK56,app(sK56,sK58)))) = hd(sK56) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_19187]) ).
tcf(c_90977,plain,
! [X0: $i] :
( ( app(sK56,app(sK56,sK58)) = nil )
| ( app(tl(app(sK56,app(sK56,sK58))),X0) = tl(app(app(sK56,app(sK56,sK58)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_234]) ).
tcf(c_90978,plain,
( ( nil = sK58 )
| ( hd(app(sK58,app(sK56,app(sK56,sK58)))) = hd(sK58) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_19186]) ).
tcf(c_90979,plain,
( ( nil = sK59 )
| ( hd(app(sK59,app(sK56,app(sK56,sK58)))) = hd(sK59) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_19185]) ).
tcf(c_90980,plain,
( equalelemsP(app(sK56,app(sK56,sK58)))
| ( app(sK47(app(sK56,app(sK56,sK58))),cons(sK45(app(sK56,app(sK56,sK58))),cons(sK46(app(sK56,app(sK56,sK58))),sK48(app(sK56,app(sK56,sK58)))))) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_132]) ).
tcf(c_90981,plain,
! [X0: $i] :
( ( app(sK56,app(sK56,sK58)) = nil )
| ( hd(app(app(sK56,app(sK56,sK58)),X0)) = hd(app(sK56,app(sK56,sK58))) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_233]) ).
tcf(c_90982,plain,
( ( app(sK56,app(sK56,sK58)) = nil )
| ( cons(hd(app(sK56,app(sK56,sK58))),tl(app(sK56,app(sK56,sK58)))) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_224]) ).
tcf(c_90983,plain,
( ( app(sK56,app(sK56,sK58)) = nil )
| ( cons(sK50(app(sK56,app(sK56,sK58))),sK49(app(sK56,app(sK56,sK58)))) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_147]) ).
tcf(c_90984,plain,
( ( app(sK56,app(sK56,sK58)) = nil )
| ( tl(app(sK56,app(sK56,sK58))) = sK52(app(sK56,app(sK56,sK58))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_222]) ).
tcf(c_90985,plain,
( ( app(sK56,app(sK56,sK58)) = nil )
| ( hd(app(sK56,app(sK56,sK58))) = sK51(app(sK56,app(sK56,sK58))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_220]) ).
tcf(c_90986,plain,
( duplicatefreeP(app(sK56,app(sK56,sK58)))
| ( sK40(app(sK56,app(sK56,sK58))) = sK41(app(sK56,app(sK56,sK58))) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_123]) ).
tcf(c_90987,plain,
( ( app(app(sK56,app(sK56,sK58)),nil) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_232]) ).
tcf(c_90988,plain,
( ( app(nil,app(sK56,app(sK56,sK58))) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_155]) ).
tcf(c_91159,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK59,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_90034,c_183]) ).
tcf(c_91160,plain,
( ( app(sK56,app(sK59,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK58)))
| ~ rearsegP(sK58,app(sK56,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_90034,c_184]) ).
tcf(c_91161,plain,
( ( app(sK12(app(sK56,app(sK59,sK58)),sK58),sK58) = app(sK56,app(sK59,sK58)) )
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_90034,c_66]) ).
tcf(c_91163,plain,
( ( app(sK12(app(sK56,app(sK59,sK58)),sK58),sK58) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91161,c_8915]) ).
tcf(c_91167,plain,
( ( app(sK56,app(sK59,sK58)) = sK58 )
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK58)))
| ~ rearsegP(sK58,app(sK56,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91160,c_8915]) ).
tcf(c_91368,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_90609,c_183]) ).
tcf(c_91369,plain,
( ( app(sK56,app(sK58,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK58)))
| ~ rearsegP(sK58,app(sK56,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_90609,c_184]) ).
tcf(c_91370,plain,
( ( app(sK12(app(sK56,app(sK58,sK58)),sK58),sK58) = app(sK56,app(sK58,sK58)) )
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_90609,c_66]) ).
tcf(c_91372,plain,
( ( app(sK12(app(sK56,app(sK58,sK58)),sK58),sK58) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91370,c_8915]) ).
tcf(c_91376,plain,
( ( app(sK56,app(sK58,sK58)) = sK58 )
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK58)))
| ~ rearsegP(sK58,app(sK56,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91369,c_8915]) ).
tcf(c_91385,plain,
! [X0: $i] :
( rearsegP(app(sK56,app(sK56,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ rearsegP(sK58,X0)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_90863,c_183]) ).
tcf(c_91386,plain,
( ( app(sK56,app(sK56,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK58)))
| ~ rearsegP(sK58,app(sK56,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_90863,c_184]) ).
tcf(c_91387,plain,
( ( app(sK12(app(sK56,app(sK56,sK58)),sK58),sK58) = app(sK56,app(sK56,sK58)) )
| ~ ssList(sK58)
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_90863,c_66]) ).
tcf(c_91389,plain,
( ( app(sK12(app(sK56,app(sK56,sK58)),sK58),sK58) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91387,c_8915]) ).
tcf(c_91393,plain,
( ( app(sK56,app(sK56,sK58)) = sK58 )
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK58)))
| ~ rearsegP(sK58,app(sK56,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91386,c_8915]) ).
tcf(c_91405,plain,
! [X0: $i] :
( ( hd(app(iPr_def_12,X0)) = sK60 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_19201,c_88922]) ).
tcf(c_91412,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_12,sK8(X0,X1))) = sK60 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_91405]) ).
tcf(c_91413,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_12,sK9(X0,X1))) = sK60 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_91405]) ).
tcf(c_91414,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_12,app(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_91405]) ).
tcf(c_91415,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_12,sK11(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_91405]) ).
tcf(c_91416,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_12,sK12(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_91405]) ).
tcf(c_91417,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_12,sK13(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_91405]) ).
tcf(c_91418,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_12,sK14(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_91405]) ).
tcf(c_91428,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_12,sK34(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_91405]) ).
tcf(c_91429,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_12,sK33(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_91405]) ).
tcf(c_91430,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( hd(app(iPr_def_12,sK32(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_91405]) ).
tcf(c_91431,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_12,sK39(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_91405]) ).
tcf(c_91432,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_12,sK38(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_91405]) ).
tcf(c_91433,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( hd(app(iPr_def_12,sK37(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_91405]) ).
tcf(c_91434,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_12,sK44(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_91405]) ).
tcf(c_91435,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_12,sK43(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_91405]) ).
tcf(c_91436,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( hd(app(iPr_def_12,sK42(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_91405]) ).
tcf(c_91437,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(app(iPr_def_12,sK48(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_91405]) ).
tcf(c_91438,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( hd(app(iPr_def_12,sK47(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_91405]) ).
tcf(c_91439,plain,
! [X0: $i,X1: $i] :
( ( hd(app(iPr_def_12,cons(X0,X1))) = sK60 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_91405]) ).
tcf(c_91440,plain,
hd(app(iPr_def_12,nil)) = sK60,
inference(superposition,[status(thm)],[c_141,c_91405]) ).
tcf(c_91441,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_12,sK49(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_91405]) ).
tcf(c_91442,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_12,tl(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_91405]) ).
tcf(c_91443,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(iPr_def_12,sK52(X0))) = sK60 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_91405]) ).
tcf(c_91444,plain,
hd(app(iPr_def_12,sK59)) = sK60,
inference(superposition,[status(thm)],[c_8916,c_91405]) ).
tcf(c_91445,plain,
hd(app(iPr_def_12,sK58)) = sK60,
inference(superposition,[status(thm)],[c_8915,c_91405]) ).
tcf(c_91446,plain,
hd(app(iPr_def_12,sK56)) = sK60,
inference(superposition,[status(thm)],[c_8907,c_91405]) ).
tcf(c_91447,plain,
hd(app(iPr_def_12,iPr_def_12)) = sK60,
inference(superposition,[status(thm)],[c_12842,c_91405]) ).
tcf(c_91448,plain,
hd(app(iPr_def_12,iPr_def_10)) = sK60,
inference(superposition,[status(thm)],[c_18245,c_91405]) ).
tcf(c_91449,plain,
( ( nil = sK59 )
| ( hd(app(iPr_def_12,tl(sK59))) = sK60 ) ),
inference(superposition,[status(thm)],[c_15329,c_91405]) ).
tcf(c_91450,plain,
( ( nil = sK58 )
| ( hd(app(iPr_def_12,tl(sK58))) = sK60 ) ),
inference(superposition,[status(thm)],[c_15365,c_91405]) ).
tcf(c_91451,plain,
( ( nil = sK56 )
| ( hd(app(iPr_def_12,tl(sK56))) = sK60 ) ),
inference(superposition,[status(thm)],[c_15756,c_91405]) ).
tcf(c_91452,plain,
hd(app(iPr_def_12,cons(sK60,sK59))) = sK60,
inference(superposition,[status(thm)],[c_83680,c_91405]) ).
tcf(c_91453,plain,
hd(app(iPr_def_12,cons(sK60,sK58))) = sK60,
inference(superposition,[status(thm)],[c_84476,c_91405]) ).
tcf(c_91454,plain,
hd(app(iPr_def_12,cons(sK60,sK56))) = sK60,
inference(superposition,[status(thm)],[c_84910,c_91405]) ).
tcf(c_91455,plain,
hd(app(iPr_def_12,cons(sK60,iPr_def_12))) = sK60,
inference(superposition,[status(thm)],[c_85563,c_91405]) ).
tcf(c_91456,plain,
( ( hd(app(iPr_def_12,app(sK59,app(sK59,sK59)))) = sK60 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_91405]) ).
tcf(c_91457,plain,
( ( hd(app(iPr_def_12,app(sK59,app(sK58,sK59)))) = sK60 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_91405]) ).
tcf(c_91458,plain,
( ( hd(app(iPr_def_12,app(sK59,app(sK56,sK59)))) = sK60 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_91405]) ).
tcf(c_91459,plain,
( ( hd(app(iPr_def_12,app(sK58,app(sK59,sK59)))) = sK60 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_91405]) ).
tcf(c_91460,plain,
( ( hd(app(iPr_def_12,app(sK58,app(sK58,sK59)))) = sK60 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_91405]) ).
tcf(c_91461,plain,
( ( hd(app(iPr_def_12,app(sK58,app(sK56,sK59)))) = sK60 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_91405]) ).
tcf(c_91462,plain,
( ( hd(app(iPr_def_12,app(sK56,app(sK59,sK59)))) = sK60 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_91405]) ).
tcf(c_91463,plain,
( ( hd(app(iPr_def_12,app(sK56,app(sK58,sK59)))) = sK60 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_91405]) ).
tcf(c_91464,plain,
( ( hd(app(iPr_def_12,app(sK56,app(sK56,sK59)))) = sK60 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_91405]) ).
tcf(c_91465,plain,
( ( hd(app(iPr_def_12,app(sK59,app(sK59,sK58)))) = sK60 )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_91405]) ).
tcf(c_91466,plain,
( ( hd(app(iPr_def_12,app(sK59,app(sK58,sK58)))) = sK60 )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_91405]) ).
tcf(c_91467,plain,
( ( hd(app(iPr_def_12,app(sK59,app(sK56,sK58)))) = sK60 )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_91405]) ).
tcf(c_91468,plain,
( ( hd(app(iPr_def_12,app(sK58,app(sK59,sK58)))) = sK60 )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_91405]) ).
tcf(c_91469,plain,
( ( hd(app(iPr_def_12,app(sK58,app(sK58,sK58)))) = sK60 )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_91405]) ).
tcf(c_91470,plain,
( ( hd(app(iPr_def_12,app(sK58,app(sK56,sK58)))) = sK60 )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_91405]) ).
tcf(c_91471,plain,
( ( hd(app(iPr_def_12,app(sK56,app(sK59,sK58)))) = sK60 )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_91405]) ).
tcf(c_91472,plain,
( ( hd(app(iPr_def_12,app(sK56,app(sK58,sK58)))) = sK60 )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_91405]) ).
tcf(c_91473,plain,
( ( hd(app(iPr_def_12,app(sK56,app(sK56,sK58)))) = sK60 )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_91405]) ).
tcf(c_91987,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_12,sK58) = nil )
| ( app(iPr_def_12,sK58) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,sK58))
| ( hd(X0) != sK60 )
| ( tl(app(iPr_def_12,sK58)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_91445,c_223]) ).
tcf(c_91988,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_12,sK58)))
| ( app(iPr_def_12,sK58) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(app(iPr_def_12,sK58))
| ~ ssList(app(iPr_def_12,sK58)) ),
inference(superposition,[status(thm)],[c_91445,c_212]) ).
tcf(c_91989,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_12,sK58)))
| ( app(iPr_def_12,sK58) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(app(iPr_def_12,sK58))
| ~ ssList(app(iPr_def_12,sK58)) ),
inference(superposition,[status(thm)],[c_91445,c_206]) ).
tcf(c_92011,plain,
! [X0: $i] :
( rearsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ rearsegP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_89386,c_183]) ).
tcf(c_92012,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ~ rearsegP(iPr_def_10,iPr_def_12) ),
inference(superposition,[status(thm)],[c_89386,c_184]) ).
tcf(c_92016,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),cons(sK60,iPr_def_10)) = app(X0,app(X1,cons(sK60,iPr_def_10))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89317,c_228]) ).
tcf(c_92017,plain,
hd(app(iPr_def_12,cons(sK60,iPr_def_10))) = sK60,
inference(superposition,[status(thm)],[c_89317,c_91405]) ).
tcf(c_92018,plain,
app(app(sK56,cons(sK60,iPr_def_10)),sK58) = app(sK56,app(cons(sK60,iPr_def_10),sK58)),
inference(superposition,[status(thm)],[c_89317,c_74273]) ).
tcf(c_92019,plain,
cons(sK60,cons(sK60,iPr_def_10)) = app(iPr_def_10,cons(sK60,iPr_def_10)),
inference(superposition,[status(thm)],[c_89317,c_18957]) ).
tcf(c_92020,plain,
app(sK12(cons(sK60,iPr_def_10),nil),nil) = cons(sK60,iPr_def_10),
inference(superposition,[status(thm)],[c_89317,c_18312]) ).
tcf(c_92021,plain,
app(sK12(cons(sK60,iPr_def_10),cons(sK60,iPr_def_10)),cons(sK60,iPr_def_10)) = cons(sK60,iPr_def_10),
inference(superposition,[status(thm)],[c_89317,c_18284]) ).
tcf(c_92022,plain,
app(nil,sK11(cons(sK60,iPr_def_10),nil)) = cons(sK60,iPr_def_10),
inference(superposition,[status(thm)],[c_89317,c_17822]) ).
tcf(c_92023,plain,
app(app(sK58,cons(sK60,iPr_def_10)),sK58) = app(sK58,app(cons(sK60,iPr_def_10),sK58)),
inference(superposition,[status(thm)],[c_89317,c_74272]) ).
tcf(c_92024,plain,
app(cons(sK60,iPr_def_10),sK11(cons(sK60,iPr_def_10),cons(sK60,iPr_def_10))) = cons(sK60,iPr_def_10),
inference(superposition,[status(thm)],[c_89317,c_17782]) ).
tcf(c_92025,plain,
app(app(sK59,cons(sK60,iPr_def_10)),sK58) = app(sK59,app(cons(sK60,iPr_def_10),sK58)),
inference(superposition,[status(thm)],[c_89317,c_74271]) ).
tcf(c_92026,plain,
! [X0: $i] :
( ( app(app(cons(sK60,iPr_def_10),X0),sK58) = app(cons(sK60,iPr_def_10),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89317,c_22630]) ).
tcf(c_92027,plain,
app(app(sK56,cons(sK60,iPr_def_10)),sK59) = app(sK56,app(cons(sK60,iPr_def_10),sK59)),
inference(superposition,[status(thm)],[c_89317,c_63530]) ).
tcf(c_92028,plain,
app(app(sK58,cons(sK60,iPr_def_10)),sK59) = app(sK58,app(cons(sK60,iPr_def_10),sK59)),
inference(superposition,[status(thm)],[c_89317,c_63529]) ).
tcf(c_92029,plain,
app(app(sK59,cons(sK60,iPr_def_10)),sK59) = app(sK59,app(cons(sK60,iPr_def_10),sK59)),
inference(superposition,[status(thm)],[c_89317,c_63528]) ).
tcf(c_92030,plain,
! [X0: $i] :
( ( app(app(cons(sK60,iPr_def_10),X0),sK59) = app(cons(sK60,iPr_def_10),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89317,c_22629]) ).
tcf(c_92032,plain,
tl(cons(sK60,cons(sK60,iPr_def_10))) = cons(sK60,iPr_def_10),
inference(superposition,[status(thm)],[c_89317,c_18951]) ).
tcf(c_92033,plain,
tl(cons(sK7,cons(sK60,iPr_def_10))) = cons(sK60,iPr_def_10),
inference(superposition,[status(thm)],[c_89317,c_13978]) ).
tcf(c_92034,plain,
tl(cons(sK6,cons(sK60,iPr_def_10))) = cons(sK60,iPr_def_10),
inference(superposition,[status(thm)],[c_89317,c_13977]) ).
tcf(c_92037,plain,
( ( nil = sK56 )
| ( app(tl(sK56),cons(sK60,iPr_def_10)) = tl(app(sK56,cons(sK60,iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_89317,c_21660]) ).
tcf(c_92038,plain,
( ( nil = sK58 )
| ( app(tl(sK58),cons(sK60,iPr_def_10)) = tl(app(sK58,cons(sK60,iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_89317,c_21659]) ).
tcf(c_92039,plain,
( ( nil = sK59 )
| ( app(tl(sK59),cons(sK60,iPr_def_10)) = tl(app(sK59,cons(sK60,iPr_def_10))) ) ),
inference(superposition,[status(thm)],[c_89317,c_21658]) ).
tcf(c_92040,plain,
( duplicatefreeP(cons(sK60,iPr_def_10))
| ( app(app(sK42(cons(sK60,iPr_def_10)),cons(sK40(cons(sK60,iPr_def_10)),sK43(cons(sK60,iPr_def_10)))),cons(sK41(cons(sK60,iPr_def_10)),sK44(cons(sK60,iPr_def_10)))) = cons(sK60,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_89317,c_124]) ).
tcf(c_92041,plain,
( strictorderedP(cons(sK60,iPr_def_10))
| ( app(app(sK37(cons(sK60,iPr_def_10)),cons(sK35(cons(sK60,iPr_def_10)),sK38(cons(sK60,iPr_def_10)))),cons(sK36(cons(sK60,iPr_def_10)),sK39(cons(sK60,iPr_def_10)))) = cons(sK60,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_89317,c_116]) ).
tcf(c_92042,plain,
( totalorderedP(cons(sK60,iPr_def_10))
| ( app(app(sK32(cons(sK60,iPr_def_10)),cons(sK30(cons(sK60,iPr_def_10)),sK33(cons(sK60,iPr_def_10)))),cons(sK31(cons(sK60,iPr_def_10)),sK34(cons(sK60,iPr_def_10)))) = cons(sK60,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_89317,c_108]) ).
tcf(c_92043,plain,
( ( nil = sK56 )
| ( hd(app(sK56,cons(sK60,iPr_def_10))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_89317,c_19187]) ).
tcf(c_92044,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_10) = nil )
| ( app(tl(cons(sK60,iPr_def_10)),X0) = tl(app(cons(sK60,iPr_def_10),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89317,c_234]) ).
tcf(c_92045,plain,
( ( nil = sK58 )
| ( hd(app(sK58,cons(sK60,iPr_def_10))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_89317,c_19186]) ).
tcf(c_92046,plain,
( ( nil = sK59 )
| ( hd(app(sK59,cons(sK60,iPr_def_10))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_89317,c_19185]) ).
tcf(c_92047,plain,
( equalelemsP(cons(sK60,iPr_def_10))
| ( app(sK47(cons(sK60,iPr_def_10)),cons(sK45(cons(sK60,iPr_def_10)),cons(sK46(cons(sK60,iPr_def_10)),sK48(cons(sK60,iPr_def_10))))) = cons(sK60,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_89317,c_132]) ).
tcf(c_92048,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_10) = nil )
| ( hd(app(cons(sK60,iPr_def_10),X0)) = hd(cons(sK60,iPr_def_10)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89317,c_233]) ).
tcf(c_92049,plain,
( ( cons(sK60,iPr_def_10) = nil )
| ( cons(hd(cons(sK60,iPr_def_10)),tl(cons(sK60,iPr_def_10))) = cons(sK60,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_89317,c_224]) ).
tcf(c_92050,plain,
( ( cons(sK60,iPr_def_10) = nil )
| ( cons(sK50(cons(sK60,iPr_def_10)),sK49(cons(sK60,iPr_def_10))) = cons(sK60,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_89317,c_147]) ).
tcf(c_92051,plain,
( ( cons(sK60,iPr_def_10) = nil )
| ( tl(cons(sK60,iPr_def_10)) = sK52(cons(sK60,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_89317,c_222]) ).
tcf(c_92052,plain,
( ( cons(sK60,iPr_def_10) = nil )
| ( hd(cons(sK60,iPr_def_10)) = sK51(cons(sK60,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_89317,c_220]) ).
tcf(c_92053,plain,
( duplicatefreeP(cons(sK60,iPr_def_10))
| ( sK40(cons(sK60,iPr_def_10)) = sK41(cons(sK60,iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_89317,c_123]) ).
tcf(c_92064,plain,
( ( cons(sK60,iPr_def_10) = nil )
| ( sK51(cons(sK60,iPr_def_10)) = sK60 ) ),
inference(light_normalisation,[status(thm)],[c_92052,c_50956]) ).
tcf(c_92067,plain,
( ( cons(sK60,iPr_def_10) = nil )
| ( sK52(cons(sK60,iPr_def_10)) = iPr_def_10 ) ),
inference(light_normalisation,[status(thm)],[c_92051,c_50401]) ).
tcf(c_92083,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_10) = nil )
| ( hd(app(cons(sK60,iPr_def_10),X0)) = sK60 )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_92048,c_50956]) ).
tcf(c_92090,plain,
! [X0: $i] :
( ( cons(sK60,iPr_def_10) = nil )
| ( tl(app(cons(sK60,iPr_def_10),X0)) = app(iPr_def_10,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_92044,c_50401]) ).
tcf(c_92221,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(iPr_def_12,sK56) = nil )
| ( app(iPr_def_12,sK56) = X0 )
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,sK56))
| ( hd(X0) != sK60 )
| ( tl(app(iPr_def_12,sK56)) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_91446,c_223]) ).
tcf(c_92222,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(iPr_def_12,sK56)))
| ( app(iPr_def_12,sK56) = nil )
| ~ ssItem(X0)
| ~ lt(X0,sK60)
| ~ strictorderedP(app(iPr_def_12,sK56))
| ~ ssList(app(iPr_def_12,sK56)) ),
inference(superposition,[status(thm)],[c_91446,c_212]) ).
tcf(c_92223,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(iPr_def_12,sK56)))
| ( app(iPr_def_12,sK56) = nil )
| ~ ssItem(X0)
| ~ leq(X0,sK60)
| ~ totalorderedP(app(iPr_def_12,sK56))
| ~ ssList(app(iPr_def_12,sK56)) ),
inference(superposition,[status(thm)],[c_91446,c_206]) ).
tcf(c_92250,plain,
( ( app(sK56,app(sK59,sK58)) = app(sK56,sK59) )
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK58)))
| ~ frontsegP(app(sK56,sK59),app(sK56,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_90037,c_174]) ).
tcf(c_92251,plain,
( ( app(app(sK56,sK59),sK11(app(sK56,app(sK59,sK58)),app(sK56,sK59))) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,sK59))
| ~ ssList(app(sK56,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_90037,c_63]) ).
tcf(c_92265,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK56,app(sK59,sK58)),X0),X0),sK14(app(sK56,app(sK59,sK58)),X0)) = app(sK56,app(sK59,sK58)) )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK56,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_90057,c_70]) ).
tcf(c_92266,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,app(sK59,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK56,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_90057,c_190]) ).
tcf(c_92267,plain,
! [X0: $i] :
( ( app(sK56,app(sK59,sK58)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK56,app(sK59,sK58)))
| ~ segmentP(X0,app(sK56,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_90057,c_191]) ).
tcf(c_92290,plain,
( ( app(app(sK13(app(sK56,app(sK59,sK58)),sK59),sK59),sK14(app(sK56,app(sK59,sK58)),sK59)) = app(sK56,app(sK59,sK58)) )
| ~ ssList(sK59)
| ~ ssList(app(sK56,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_90062,c_70]) ).
tcf(c_92291,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK59,sK58)),X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(sK56,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_90062,c_190]) ).
tcf(c_92292,plain,
( ( app(sK56,app(sK59,sK58)) = sK59 )
| ~ ssList(sK59)
| ~ ssList(app(sK56,app(sK59,sK58)))
| ~ segmentP(sK59,app(sK56,app(sK59,sK58))) ),
inference(superposition,[status(thm)],[c_90062,c_191]) ).
tcf(c_92294,plain,
( ( app(sK56,app(sK59,sK58)) = sK59 )
| ~ ssList(app(sK56,app(sK59,sK58)))
| ~ segmentP(sK59,app(sK56,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92292,c_8916]) ).
tcf(c_92298,plain,
( ( app(app(sK13(app(sK56,app(sK59,sK58)),sK59),sK59),sK14(app(sK56,app(sK59,sK58)),sK59)) = app(sK56,app(sK59,sK58)) )
| ~ ssList(app(sK56,app(sK59,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92290,c_8916]) ).
tcf(c_92306,plain,
( ( app(sK56,app(sK58,sK58)) = app(sK56,sK58) )
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK58)))
| ~ frontsegP(app(sK56,sK58),app(sK56,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_90612,c_174]) ).
tcf(c_92307,plain,
( ( app(app(sK56,sK58),sK11(app(sK56,app(sK58,sK58)),app(sK56,sK58))) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,sK58))
| ~ ssList(app(sK56,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_90612,c_63]) ).
tcf(c_92351,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK56,app(sK58,sK58)),X0),X0),sK14(app(sK56,app(sK58,sK58)),X0)) = app(sK56,app(sK58,sK58)) )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK56,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_90618,c_70]) ).
tcf(c_92352,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,app(sK58,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK56,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_90618,c_190]) ).
tcf(c_92353,plain,
! [X0: $i] :
( ( app(sK56,app(sK58,sK58)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK56,app(sK58,sK58)))
| ~ segmentP(X0,app(sK56,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_90618,c_191]) ).
tcf(c_92376,plain,
( ( app(app(sK13(app(sK56,app(sK58,sK58)),sK58),sK58),sK14(app(sK56,app(sK58,sK58)),sK58)) = app(sK56,app(sK58,sK58)) )
| ~ ssList(sK58)
| ~ ssList(app(sK56,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_90623,c_70]) ).
tcf(c_92377,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK58,sK58)),X0)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(sK56,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_90623,c_190]) ).
tcf(c_92378,plain,
( ( app(sK56,app(sK58,sK58)) = sK58 )
| ~ ssList(sK58)
| ~ ssList(app(sK56,app(sK58,sK58)))
| ~ segmentP(sK58,app(sK56,app(sK58,sK58))) ),
inference(superposition,[status(thm)],[c_90623,c_191]) ).
tcf(c_92380,plain,
( ( app(sK56,app(sK58,sK58)) = sK58 )
| ~ ssList(app(sK56,app(sK58,sK58)))
| ~ segmentP(sK58,app(sK56,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92378,c_8915]) ).
tcf(c_92384,plain,
( ( app(app(sK13(app(sK56,app(sK58,sK58)),sK58),sK58),sK14(app(sK56,app(sK58,sK58)),sK58)) = app(sK56,app(sK58,sK58)) )
| ~ ssList(app(sK56,app(sK58,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92376,c_8915]) ).
tcf(c_92392,plain,
( ( app(sK56,app(sK56,sK58)) = app(sK56,sK56) )
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK58)))
| ~ frontsegP(app(sK56,sK56),app(sK56,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_90866,c_174]) ).
tcf(c_92393,plain,
( ( app(app(sK56,sK56),sK11(app(sK56,app(sK56,sK58)),app(sK56,sK56))) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,sK56))
| ~ ssList(app(sK56,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_90866,c_63]) ).
tcf(c_92408,plain,
( ssItem(hd(sK58))
| ( nil = sK59 )
| ( nil = sK58 )
| ( app(sK58,tl(sK59)) = nil )
| ~ ssList(app(sK58,tl(sK59))) ),
inference(superposition,[status(thm)],[c_21407,c_149]) ).
tcf(c_92409,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( nil = sK58 )
| ( X0 = nil )
| ( app(sK58,tl(sK59)) = nil )
| ( app(sK58,tl(sK59)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK58,tl(sK59)))
| ( hd(X0) != hd(sK58) )
| ( tl(app(sK58,tl(sK59))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_21407,c_223]) ).
tcf(c_92410,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK58,tl(sK59))))
| ( nil = sK59 )
| ( nil = sK58 )
| ( app(sK58,tl(sK59)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,hd(sK58))
| ~ strictorderedP(app(sK58,tl(sK59)))
| ~ ssList(app(sK58,tl(sK59))) ),
inference(superposition,[status(thm)],[c_21407,c_212]) ).
tcf(c_92411,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK58,tl(sK59))))
| ( nil = sK59 )
| ( nil = sK58 )
| ( app(sK58,tl(sK59)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,hd(sK58))
| ~ totalorderedP(app(sK58,tl(sK59)))
| ~ ssList(app(sK58,tl(sK59))) ),
inference(superposition,[status(thm)],[c_21407,c_206]) ).
tcf(c_92539,plain,
! [X0: $i] :
( ( app(app(sK13(app(sK56,app(sK56,sK58)),X0),X0),sK14(app(sK56,app(sK56,sK58)),X0)) = app(sK56,app(sK56,sK58)) )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK56,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_90872,c_70]) ).
tcf(c_92540,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK56,app(sK56,sK58)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(X0,X1)
| ~ ssList(app(sK56,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_90872,c_190]) ).
tcf(c_92541,plain,
! [X0: $i] :
( ( app(sK56,app(sK56,sK58)) = X0 )
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK56,app(sK56,sK58)))
| ~ segmentP(X0,app(sK56,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_90872,c_191]) ).
tcf(c_92564,plain,
( ( app(app(sK13(app(sK56,app(sK56,sK58)),sK56),sK56),sK14(app(sK56,app(sK56,sK58)),sK56)) = app(sK56,app(sK56,sK58)) )
| ~ ssList(sK56)
| ~ ssList(app(sK56,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_90877,c_70]) ).
tcf(c_92565,plain,
! [X0: $i] :
( segmentP(app(sK56,app(sK56,sK58)),X0)
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(sK56,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_90877,c_190]) ).
tcf(c_92566,plain,
( ( app(sK56,app(sK56,sK58)) = sK56 )
| ~ ssList(sK56)
| ~ ssList(app(sK56,app(sK56,sK58)))
| ~ segmentP(sK56,app(sK56,app(sK56,sK58))) ),
inference(superposition,[status(thm)],[c_90877,c_191]) ).
tcf(c_92568,plain,
( ( app(sK56,app(sK56,sK58)) = sK56 )
| ~ ssList(app(sK56,app(sK56,sK58)))
| ~ segmentP(sK56,app(sK56,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92566,c_8907]) ).
tcf(c_92572,plain,
( ( app(app(sK13(app(sK56,app(sK56,sK58)),sK56),sK56),sK14(app(sK56,app(sK56,sK58)),sK56)) = app(sK56,app(sK56,sK58)) )
| ~ ssList(app(sK56,app(sK56,sK58))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92564,c_8907]) ).
tcf(c_92577,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ memberP(cons(sK60,sK58),X0)
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_84507,c_52522,c_84507]) ).
tcf(c_92578,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK60,sK58),X0) ),
inference(renaming,[status(thm)],[c_92577]) ).
tcf(c_92587,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(sK58)
| ~ ssItem(sK60)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(superposition,[status(thm)],[c_169,c_92578]) ).
tcf(c_92610,plain,
( ( nil = sK59 )
| ~ ssList(nil)
| ( cons(sK60,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18244,c_83719]) ).
tcf(c_92611,plain,
( ( sK11(iPr_def_10,iPr_def_10) = sK59 )
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ( cons(sK60,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19463,c_83719]) ).
tcf(c_92613,plain,
( ( sK58 = sK59 )
| ~ ssList(sK58)
| ( cons(sK60,sK58) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_83219,c_83719]) ).
tcf(c_92614,plain,
( ( sK59 = sK56 )
| ~ ssList(sK56)
| ( cons(sK60,sK59) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_83220,c_83719]) ).
tcf(c_92615,plain,
( ( sK59 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sK60,sK59) != cons(sK60,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_83221,c_83719]) ).
tcf(c_92616,plain,
( ( nil = sK59 )
| ( cons(sK60,sK59) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92610,c_141]) ).
tcf(c_92619,plain,
( ( sK59 = iPr_def_12 )
| ( cons(sK60,sK59) != cons(sK60,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92615,c_12842]) ).
tcf(c_92663,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sK60,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18265,c_83723]) ).
tcf(c_92666,plain,
( ( sK12(iPr_def_10,sK59) = iPr_def_10 )
| ~ ssList(sK12(iPr_def_10,sK59))
| ( cons(sK60,sK59) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19475,c_83723]) ).
tcf(c_92668,plain,
( ( app(sK59,sK59) = iPr_def_10 )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_64183,c_83723]) ).
tcf(c_92669,plain,
( ( app(sK59,sK58) = iPr_def_10 )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_64184,c_83723]) ).
tcf(c_92670,plain,
( ( app(sK59,sK56) = iPr_def_10 )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_64185,c_83723]) ).
tcf(c_92671,plain,
( ( app(sK58,sK59) = iPr_def_10 )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_66782,c_83723]) ).
tcf(c_92672,plain,
( ( app(sK58,sK58) = iPr_def_10 )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_66783,c_83723]) ).
tcf(c_92673,plain,
( ( app(sK58,sK56) = iPr_def_10 )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_66784,c_83723]) ).
tcf(c_92674,plain,
( ( app(sK56,sK59) = iPr_def_10 )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_69234,c_83723]) ).
tcf(c_92675,plain,
( ( app(sK56,sK58) = iPr_def_10 )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_69235,c_83723]) ).
tcf(c_92676,plain,
( ( app(sK56,sK56) = iPr_def_10 )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK59)) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_69236,c_83723]) ).
tcf(c_92677,plain,
( ( sK12(cons(sK60,sK59),sK59) = iPr_def_10 )
| ~ ssList(sK12(cons(sK60,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_84427,c_83723]) ).
tcf(c_92744,plain,
( ( nil = sK58 )
| ~ ssList(nil)
| ( cons(sK60,sK58) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18244,c_84512]) ).
tcf(c_92745,plain,
( ( sK11(iPr_def_10,iPr_def_10) = sK58 )
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ( cons(sK60,sK58) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19463,c_84512]) ).
tcf(c_92746,plain,
( ( sK58 = sK59 )
| ~ ssList(sK59)
| ( cons(sK60,sK58) != cons(sK60,sK59) ) ),
inference(superposition,[status(thm)],[c_83218,c_84512]) ).
tcf(c_92748,plain,
( ( sK58 = sK56 )
| ~ ssList(sK56)
| ( cons(sK60,sK58) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_83220,c_84512]) ).
tcf(c_92750,plain,
( ( nil = sK58 )
| ( cons(sK60,sK58) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92744,c_141]) ).
tcf(c_92764,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( X0 = nil )
| ( app(sK58,tl(sK58)) = nil )
| ( app(sK58,tl(sK58)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK58,tl(sK58)))
| ( hd(X0) != hd(sK58) )
| ( tl(app(sK58,tl(sK58))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_21408,c_223]) ).
tcf(c_92765,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK58,tl(sK58))))
| ( nil = sK58 )
| ( app(sK58,tl(sK58)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,hd(sK58))
| ~ strictorderedP(app(sK58,tl(sK58)))
| ~ ssList(app(sK58,tl(sK58))) ),
inference(superposition,[status(thm)],[c_21408,c_212]) ).
tcf(c_92766,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK58,tl(sK58))))
| ( nil = sK58 )
| ( app(sK58,tl(sK58)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,hd(sK58))
| ~ totalorderedP(app(sK58,tl(sK58)))
| ~ ssList(app(sK58,tl(sK58))) ),
inference(superposition,[status(thm)],[c_21408,c_206]) ).
tcf(c_92865,plain,
! [X0: $i] :
( ( nil = iPr_def_12 )
| ( X0 = iPr_def_12 )
| ( X0 = nil )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ( tl(X0) != tl(iPr_def_12) )
| ( hd(X0) != sK60 ) ),
inference(superposition,[status(thm)],[c_88922,c_223]) ).
tcf(c_92866,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,sK60) ),
inference(superposition,[status(thm)],[c_88922,c_212]) ).
tcf(c_92867,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,sK60) ),
inference(superposition,[status(thm)],[c_88922,c_206]) ).
tcf(c_92868,plain,
! [X0: $i] :
( totalorderedP(cons(X0,iPr_def_12))
| ~ totalorderedP(iPr_def_12)
| ~ ssItem(X0)
| ~ leq(X0,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92867,c_17651,c_12842]) ).
tcf(c_92873,plain,
! [X0: $i] :
( strictorderedP(cons(X0,iPr_def_12))
| ~ strictorderedP(iPr_def_12)
| ~ ssItem(X0)
| ~ lt(X0,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92866,c_17651,c_12842]) ).
tcf(c_92878,plain,
! [X0: $i] :
( ( nil = iPr_def_12 )
| ( X0 = iPr_def_12 )
| ( X0 = nil )
| ~ ssList(iPr_def_12)
| ~ ssList(X0)
| ( tl(X0) != nil )
| ( hd(X0) != sK60 ) ),
inference(light_normalisation,[status(thm)],[c_92865,c_89431]) ).
tcf(c_92879,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ( X0 = nil )
| ~ ssList(X0)
| ( tl(X0) != nil )
| ( hd(X0) != sK60 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92878,c_17651,c_12842]) ).
tcf(c_92978,plain,
( ( app(sK59,sK59) = iPr_def_10 )
| ~ ssList(app(sK59,sK59))
| ( app(sK59,app(sK59,sK58)) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_74623,c_84516]) ).
tcf(c_92979,plain,
( ( app(sK59,sK58) = iPr_def_10 )
| ~ ssList(app(sK59,sK58))
| ( app(sK59,app(sK58,sK58)) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_74624,c_84516]) ).
tcf(c_92980,plain,
( ( app(sK59,sK56) = iPr_def_10 )
| ~ ssList(app(sK59,sK56))
| ( app(sK59,app(sK56,sK58)) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_74625,c_84516]) ).
tcf(c_92981,plain,
( ( app(sK58,sK59) = iPr_def_10 )
| ~ ssList(app(sK58,sK59))
| ( app(sK58,app(sK59,sK58)) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_80027,c_84516]) ).
tcf(c_92982,plain,
( ( app(sK58,sK58) = iPr_def_10 )
| ~ ssList(app(sK58,sK58))
| ( app(sK58,app(sK58,sK58)) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_80028,c_84516]) ).
tcf(c_92983,plain,
( ( app(sK58,sK56) = iPr_def_10 )
| ~ ssList(app(sK58,sK56))
| ( app(sK58,app(sK56,sK58)) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_80029,c_84516]) ).
tcf(c_92984,plain,
( ( sK12(cons(sK60,sK58),sK58) = iPr_def_10 )
| ~ ssList(sK12(cons(sK60,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_84872,c_84516]) ).
tcf(c_92985,plain,
( ( app(sK56,sK59) = iPr_def_10 )
| ~ ssList(app(sK56,sK59))
| ( app(sK56,app(sK59,sK58)) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_89848,c_84516]) ).
tcf(c_92986,plain,
( ( app(sK56,sK58) = iPr_def_10 )
| ~ ssList(app(sK56,sK58))
| ( app(sK56,app(sK58,sK58)) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_89849,c_84516]) ).
tcf(c_92987,plain,
( ( app(sK56,sK56) = iPr_def_10 )
| ~ ssList(app(sK56,sK56))
| ( app(sK56,app(sK56,sK58)) != cons(sK60,sK58) ) ),
inference(superposition,[status(thm)],[c_89850,c_84516]) ).
tcf(c_93039,plain,
( ( nil = sK56 )
| ~ ssList(nil)
| ( cons(sK60,sK56) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_18244,c_84946]) ).
tcf(c_93040,plain,
( ( sK11(iPr_def_10,iPr_def_10) = sK56 )
| ~ ssList(sK11(iPr_def_10,iPr_def_10))
| ( cons(sK60,sK56) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_19463,c_84946]) ).
tcf(c_93041,plain,
( ( sK59 = sK56 )
| ~ ssList(sK59)
| ( cons(sK60,sK59) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_83218,c_84946]) ).
tcf(c_93042,plain,
( ( sK58 = sK56 )
| ~ ssList(sK58)
| ( cons(sK60,sK58) != cons(sK60,sK56) ) ),
inference(superposition,[status(thm)],[c_83219,c_84946]) ).
tcf(c_93044,plain,
( ( sK56 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ( cons(sK60,sK56) != cons(sK60,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_83221,c_84946]) ).
tcf(c_93045,plain,
( ( nil = sK56 )
| ( cons(sK60,sK56) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93039,c_141]) ).
tcf(c_93048,plain,
( ( sK56 = iPr_def_12 )
| ( cons(sK60,sK56) != cons(sK60,iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93044,c_12842]) ).
tcf(c_93065,plain,
( ( sK12(cons(sK60,sK56),sK56) = iPr_def_10 )
| ~ ssList(sK12(cons(sK60,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_85316,c_84950]) ).
tcf(c_93079,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK59),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK59))
| ~ ssList(sK12(cons(sK60,sK59),sK59))
| ~ frontsegP(sK12(cons(sK60,sK59),sK59),X0) ),
inference(superposition,[status(thm)],[c_86079,c_173]) ).
tcf(c_93080,plain,
( ( sK12(cons(sK60,sK59),sK59) = cons(sK60,sK59) )
| ~ ssList(cons(sK60,sK59))
| ~ ssList(sK12(cons(sK60,sK59),sK59))
| ~ frontsegP(sK12(cons(sK60,sK59),sK59),cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_86079,c_174]) ).
tcf(c_93081,plain,
( ( app(sK12(cons(sK60,sK59),sK59),sK11(cons(sK60,sK59),sK12(cons(sK60,sK59),sK59))) = cons(sK60,sK59) )
| ~ ssList(cons(sK60,sK59))
| ~ ssList(sK12(cons(sK60,sK59),sK59)) ),
inference(superposition,[status(thm)],[c_86079,c_63]) ).
tcf(c_93083,plain,
( ( app(sK12(cons(sK60,sK59),sK59),sK11(cons(sK60,sK59),sK12(cons(sK60,sK59),sK59))) = cons(sK60,sK59) )
| ~ ssList(sK12(cons(sK60,sK59),sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93081,c_83680]) ).
tcf(c_93086,plain,
( ( sK12(cons(sK60,sK59),sK59) = cons(sK60,sK59) )
| ~ ssList(sK12(cons(sK60,sK59),sK59))
| ~ frontsegP(sK12(cons(sK60,sK59),sK59),cons(sK60,sK59)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93080,c_83680]) ).
tcf(c_93101,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK58))
| ~ ssList(sK12(cons(sK60,sK58),sK58))
| ~ frontsegP(sK12(cons(sK60,sK58),sK58),X0) ),
inference(superposition,[status(thm)],[c_86914,c_173]) ).
tcf(c_93102,plain,
( ( sK12(cons(sK60,sK58),sK58) = cons(sK60,sK58) )
| ~ ssList(cons(sK60,sK58))
| ~ ssList(sK12(cons(sK60,sK58),sK58))
| ~ frontsegP(sK12(cons(sK60,sK58),sK58),cons(sK60,sK58)) ),
inference(superposition,[status(thm)],[c_86914,c_174]) ).
tcf(c_93103,plain,
( ( app(sK12(cons(sK60,sK58),sK58),sK11(cons(sK60,sK58),sK12(cons(sK60,sK58),sK58))) = cons(sK60,sK58) )
| ~ ssList(cons(sK60,sK58))
| ~ ssList(sK12(cons(sK60,sK58),sK58)) ),
inference(superposition,[status(thm)],[c_86914,c_63]) ).
tcf(c_93105,plain,
( ( app(sK12(cons(sK60,sK58),sK58),sK11(cons(sK60,sK58),sK12(cons(sK60,sK58),sK58))) = cons(sK60,sK58) )
| ~ ssList(sK12(cons(sK60,sK58),sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93103,c_84476]) ).
tcf(c_93108,plain,
( ( sK12(cons(sK60,sK58),sK58) = cons(sK60,sK58) )
| ~ ssList(sK12(cons(sK60,sK58),sK58))
| ~ frontsegP(sK12(cons(sK60,sK58),sK58),cons(sK60,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93102,c_84476]) ).
tcf(c_93165,plain,
! [X0: $i] :
( frontsegP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK56))
| ~ ssList(sK12(cons(sK60,sK56),sK56))
| ~ frontsegP(sK12(cons(sK60,sK56),sK56),X0) ),
inference(superposition,[status(thm)],[c_88154,c_173]) ).
tcf(c_93166,plain,
( ( sK12(cons(sK60,sK56),sK56) = cons(sK60,sK56) )
| ~ ssList(cons(sK60,sK56))
| ~ ssList(sK12(cons(sK60,sK56),sK56))
| ~ frontsegP(sK12(cons(sK60,sK56),sK56),cons(sK60,sK56)) ),
inference(superposition,[status(thm)],[c_88154,c_174]) ).
tcf(c_93167,plain,
( ( app(sK12(cons(sK60,sK56),sK56),sK11(cons(sK60,sK56),sK12(cons(sK60,sK56),sK56))) = cons(sK60,sK56) )
| ~ ssList(cons(sK60,sK56))
| ~ ssList(sK12(cons(sK60,sK56),sK56)) ),
inference(superposition,[status(thm)],[c_88154,c_63]) ).
tcf(c_93169,plain,
( ( app(sK12(cons(sK60,sK56),sK56),sK11(cons(sK60,sK56),sK12(cons(sK60,sK56),sK56))) = cons(sK60,sK56) )
| ~ ssList(sK12(cons(sK60,sK56),sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93167,c_84910]) ).
tcf(c_93172,plain,
( ( sK12(cons(sK60,sK56),sK56) = cons(sK60,sK56) )
| ~ ssList(sK12(cons(sK60,sK56),sK56))
| ~ frontsegP(sK12(cons(sK60,sK56),sK56),cons(sK60,sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93166,c_84910]) ).
tcf(c_93184,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK59),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK59,X0) ),
inference(superposition,[status(thm)],[c_84294,c_83727]) ).
tcf(c_93185,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(cons(sK60,sK59),X0),X1),X1),sK14(app(cons(sK60,sK59),X0),X1)) = app(cons(sK60,sK59),X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X1)
| ~ ssList(app(cons(sK60,sK59),X0)) ),
inference(superposition,[status(thm)],[c_83727,c_70]) ).
tcf(c_93186,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(cons(sK60,sK59),X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(cons(sK60,sK59),X0)) ),
inference(superposition,[status(thm)],[c_83727,c_190]) ).
tcf(c_93187,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK60,sK59),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X0)
| ~ ssList(app(cons(sK60,sK59),X1))
| ~ segmentP(X0,app(cons(sK60,sK59),X1)) ),
inference(superposition,[status(thm)],[c_83727,c_191]) ).
tcf(c_93217,plain,
! [X0: $i] :
( ( app(app(sK13(app(cons(sK60,sK59),X0),sK59),sK59),sK14(app(cons(sK60,sK59),X0),sK59)) = app(cons(sK60,sK59),X0) )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK59),X0)) ),
inference(superposition,[status(thm)],[c_83733,c_70]) ).
tcf(c_93218,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK59),X0),X1)
| ~ ssList(sK59)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X1)
| ~ ssList(app(cons(sK60,sK59),X0)) ),
inference(superposition,[status(thm)],[c_83733,c_190]) ).
tcf(c_93219,plain,
! [X0: $i] :
( ( app(cons(sK60,sK59),X0) = sK59 )
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK59),X0))
| ~ segmentP(sK59,app(cons(sK60,sK59),X0)) ),
inference(superposition,[status(thm)],[c_83733,c_191]) ).
tcf(c_93220,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK59),X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK59,X1)
| ~ ssList(app(cons(sK60,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93218,c_8916]) ).
tcf(c_93226,plain,
! [X0: $i] :
( ( app(cons(sK60,sK59),X0) = sK59 )
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK59),X0))
| ~ segmentP(sK59,app(cons(sK60,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93219,c_8916]) ).
tcf(c_93231,plain,
! [X0: $i] :
( ( app(app(sK13(app(cons(sK60,sK59),X0),sK59),sK59),sK14(app(cons(sK60,sK59),X0),sK59)) = app(cons(sK60,sK59),X0) )
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK59),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93217,c_8916]) ).
tcf(c_93261,plain,
( ssItem(hd(sK58))
| ( nil = sK56 )
| ( nil = sK58 )
| ( app(sK58,tl(sK56)) = nil )
| ~ ssList(app(sK58,tl(sK56))) ),
inference(superposition,[status(thm)],[c_21409,c_149]) ).
tcf(c_93262,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( nil = sK58 )
| ( X0 = nil )
| ( app(sK58,tl(sK56)) = nil )
| ( app(sK58,tl(sK56)) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK58,tl(sK56)))
| ( hd(X0) != hd(sK58) )
| ( tl(app(sK58,tl(sK56))) != tl(X0) ) ),
inference(superposition,[status(thm)],[c_21409,c_223]) ).
tcf(c_93263,plain,
! [X0: $i] :
( strictorderedP(cons(X0,app(sK58,tl(sK56))))
| ( nil = sK56 )
| ( nil = sK58 )
| ( app(sK58,tl(sK56)) = nil )
| ~ ssItem(X0)
| ~ lt(X0,hd(sK58))
| ~ strictorderedP(app(sK58,tl(sK56)))
| ~ ssList(app(sK58,tl(sK56))) ),
inference(superposition,[status(thm)],[c_21409,c_212]) ).
tcf(c_93264,plain,
! [X0: $i] :
( totalorderedP(cons(X0,app(sK58,tl(sK56))))
| ( nil = sK56 )
| ( nil = sK58 )
| ( app(sK58,tl(sK56)) = nil )
| ~ ssItem(X0)
| ~ leq(X0,hd(sK58))
| ~ totalorderedP(app(sK58,tl(sK56)))
| ~ ssList(app(sK58,tl(sK56))) ),
inference(superposition,[status(thm)],[c_21409,c_206]) ).
tcf(c_93321,plain,
( ( app(app(sK13(iPr_def_10,cons(sK60,sK59)),cons(sK60,sK59)),sK14(iPr_def_10,cons(sK60,sK59))) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,sK59)) ),
inference(superposition,[status(thm)],[c_88955,c_70]) ).
tcf(c_93322,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ~ ssList(cons(sK60,sK59))
| ~ segmentP(cons(sK60,sK59),X0) ),
inference(superposition,[status(thm)],[c_88955,c_190]) ).
tcf(c_93323,plain,
( ( cons(sK60,sK59) = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(cons(sK60,sK59))
| ~ segmentP(cons(sK60,sK59),iPr_def_10) ),
inference(superposition,[status(thm)],[c_88955,c_191]) ).
tcf(c_93324,plain,
( ( cons(sK60,sK59) = iPr_def_10 )
| ~ segmentP(cons(sK60,sK59),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93323,c_18245,c_83680]) ).
tcf(c_93327,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ segmentP(cons(sK60,sK59),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93322,c_18245,c_83680]) ).
tcf(c_93331,plain,
app(app(sK13(iPr_def_10,cons(sK60,sK59)),cons(sK60,sK59)),sK14(iPr_def_10,cons(sK60,sK59))) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_93321,c_18245,c_83680]) ).
tcf(c_93332,plain,
( ( app(sK8(cons(sK60,iPr_def_12),sK60),cons(sK60,sK9(cons(sK60,iPr_def_12),sK60))) = cons(sK60,iPr_def_12) )
| ~ ssItem(sK60)
| ~ ssList(cons(sK60,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_88956,c_57]) ).
tcf(c_93335,plain,
app(sK8(cons(sK60,iPr_def_12),sK60),cons(sK60,sK9(cons(sK60,iPr_def_12),sK60))) = cons(sK60,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_93332,c_18252,c_85563]) ).
tcf(c_93347,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK58),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_84659,c_84520]) ).
tcf(c_93348,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(cons(sK60,sK58),X0),X1),X1),sK14(app(cons(sK60,sK58),X0),X1)) = app(cons(sK60,sK58),X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X1)
| ~ ssList(app(cons(sK60,sK58),X0)) ),
inference(superposition,[status(thm)],[c_84520,c_70]) ).
tcf(c_93349,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(cons(sK60,sK58),X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(cons(sK60,sK58),X0)) ),
inference(superposition,[status(thm)],[c_84520,c_190]) ).
tcf(c_93350,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK60,sK58),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X0)
| ~ ssList(app(cons(sK60,sK58),X1))
| ~ segmentP(X0,app(cons(sK60,sK58),X1)) ),
inference(superposition,[status(thm)],[c_84520,c_191]) ).
tcf(c_93351,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK58),X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93347,c_141]) ).
tcf(c_93454,plain,
! [X0: $i] :
( ( app(app(sK13(app(cons(sK60,sK58),X0),sK58),sK58),sK14(app(cons(sK60,sK58),X0),sK58)) = app(cons(sK60,sK58),X0) )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK58),X0)) ),
inference(superposition,[status(thm)],[c_84526,c_70]) ).
tcf(c_93455,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK58),X0),X1)
| ~ ssList(sK58)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X1)
| ~ ssList(app(cons(sK60,sK58),X0)) ),
inference(superposition,[status(thm)],[c_84526,c_190]) ).
tcf(c_93456,plain,
! [X0: $i] :
( ( app(cons(sK60,sK58),X0) = sK58 )
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK58),X0))
| ~ segmentP(sK58,app(cons(sK60,sK58),X0)) ),
inference(superposition,[status(thm)],[c_84526,c_191]) ).
tcf(c_93457,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK58),X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK58,X1)
| ~ ssList(app(cons(sK60,sK58),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93455,c_8915]) ).
tcf(c_93463,plain,
! [X0: $i] :
( ( app(cons(sK60,sK58),X0) = sK58 )
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK58),X0))
| ~ segmentP(sK58,app(cons(sK60,sK58),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93456,c_8915]) ).
tcf(c_93468,plain,
! [X0: $i] :
( ( app(app(sK13(app(cons(sK60,sK58),X0),sK58),sK58),sK14(app(cons(sK60,sK58),X0),sK58)) = app(cons(sK60,sK58),X0) )
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK58),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93454,c_8915]) ).
tcf(c_93483,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK56),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_85017,c_84954]) ).
tcf(c_93484,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK13(app(cons(sK60,sK56),X0),X1),X1),sK14(app(cons(sK60,sK56),X0),X1)) = app(cons(sK60,sK56),X0) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X1)
| ~ ssList(app(cons(sK60,sK56),X0)) ),
inference(superposition,[status(thm)],[c_84954,c_70]) ).
tcf(c_93485,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(cons(sK60,sK56),X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X1)
| ~ segmentP(X1,X2)
| ~ ssList(app(cons(sK60,sK56),X0)) ),
inference(superposition,[status(thm)],[c_84954,c_190]) ).
tcf(c_93486,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK60,sK56),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ ssList(app(cons(sK60,sK56),X1))
| ~ segmentP(X0,app(cons(sK60,sK56),X1)) ),
inference(superposition,[status(thm)],[c_84954,c_191]) ).
tcf(c_93487,plain,
! [X0: $i] :
( segmentP(cons(sK60,sK56),X0)
| ~ ssList(X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93483,c_141]) ).
tcf(c_93519,plain,
! [X0: $i] :
( ( app(app(sK13(app(cons(sK60,sK56),X0),sK56),sK56),sK14(app(cons(sK60,sK56),X0),sK56)) = app(cons(sK60,sK56),X0) )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK56),X0)) ),
inference(superposition,[status(thm)],[c_84960,c_70]) ).
tcf(c_93520,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK56),X0),X1)
| ~ ssList(sK56)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X1)
| ~ ssList(app(cons(sK60,sK56),X0)) ),
inference(superposition,[status(thm)],[c_84960,c_190]) ).
tcf(c_93521,plain,
! [X0: $i] :
( ( app(cons(sK60,sK56),X0) = sK56 )
| ~ ssList(sK56)
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK56),X0))
| ~ segmentP(sK56,app(cons(sK60,sK56),X0)) ),
inference(superposition,[status(thm)],[c_84960,c_191]) ).
tcf(c_93522,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK60,sK56),X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK56,X1)
| ~ ssList(app(cons(sK60,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93520,c_8907]) ).
tcf(c_93528,plain,
! [X0: $i] :
( ( app(cons(sK60,sK56),X0) = sK56 )
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK56),X0))
| ~ segmentP(sK56,app(cons(sK60,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93521,c_8907]) ).
tcf(c_93533,plain,
! [X0: $i] :
( ( app(app(sK13(app(cons(sK60,sK56),X0),sK56),sK56),sK14(app(cons(sK60,sK56),X0),sK56)) = app(cons(sK60,sK56),X0) )
| ~ ssList(X0)
| ~ ssList(app(cons(sK60,sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93519,c_8907]) ).
tcf(c_93546,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK8(X0,X1),X2),sK56) = app(sK8(X0,X1),app(X2,sK56)) )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_22631]) ).
tcf(c_93547,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK9(X0,X1),X2),sK56) = app(sK9(X0,X1),app(X2,sK56)) )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_22631]) ).
tcf(c_93548,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(app(X0,X1),X2),sK56) = app(app(X0,X1),app(X2,sK56)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_22631]) ).
tcf(c_93549,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK11(X0,X1),X2),sK56) = app(sK11(X0,X1),app(X2,sK56)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_22631]) ).
tcf(c_93550,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK12(X0,X1),X2),sK56) = app(sK12(X0,X1),app(X2,sK56)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_22631]) ).
tcf(c_93551,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK13(X0,X1),X2),sK56) = app(sK13(X0,X1),app(X2,sK56)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_22631]) ).
tcf(c_93552,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK14(X0,X1),X2),sK56) = app(sK14(X0,X1),app(X2,sK56)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_22631]) ).
tcf(c_93562,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(app(sK34(X0),X1),sK56) = app(sK34(X0),app(X1,sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_22631]) ).
tcf(c_93563,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(app(sK33(X0),X1),sK56) = app(sK33(X0),app(X1,sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_22631]) ).
tcf(c_93564,plain,
! [X0: $i,X1: $i] :
( totalorderedP(X0)
| ( app(app(sK32(X0),X1),sK56) = app(sK32(X0),app(X1,sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_22631]) ).
tcf(c_93565,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(app(sK39(X0),X1),sK56) = app(sK39(X0),app(X1,sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_22631]) ).
tcf(c_93566,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(app(sK38(X0),X1),sK56) = app(sK38(X0),app(X1,sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_22631]) ).
tcf(c_93567,plain,
! [X0: $i,X1: $i] :
( strictorderedP(X0)
| ( app(app(sK37(X0),X1),sK56) = app(sK37(X0),app(X1,sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_22631]) ).
tcf(c_93568,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(app(sK44(X0),X1),sK56) = app(sK44(X0),app(X1,sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_22631]) ).
tcf(c_93569,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(app(sK43(X0),X1),sK56) = app(sK43(X0),app(X1,sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_22631]) ).
tcf(c_93570,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ( app(app(sK42(X0),X1),sK56) = app(sK42(X0),app(X1,sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_22631]) ).
tcf(c_93571,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( app(app(sK48(X0),X1),sK56) = app(sK48(X0),app(X1,sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_22631]) ).
tcf(c_93572,plain,
! [X0: $i,X1: $i] :
( equalelemsP(X0)
| ( app(app(sK47(X0),X1),sK56) = app(sK47(X0),app(X1,sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_22631]) ).
tcf(c_93573,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(cons(X0,X1),X2),sK56) = app(cons(X0,X1),app(X2,sK56)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_22631]) ).
tcf(c_93574,plain,
! [X0: $i] :
( ( app(app(nil,X0),sK56) = app(nil,app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_141,c_22631]) ).
tcf(c_93575,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(app(sK49(X0),X1),sK56) = app(sK49(X0),app(X1,sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_22631]) ).
tcf(c_93576,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(app(tl(X0),X1),sK56) = app(tl(X0),app(X1,sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_22631]) ).
tcf(c_93577,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(app(sK52(X0),X1),sK56) = app(sK52(X0),app(X1,sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_22631]) ).
tcf(c_93578,plain,
! [X0: $i] :
( ( app(app(sK59,X0),sK56) = app(sK59,app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8916,c_22631]) ).
tcf(c_93579,plain,
! [X0: $i] :
( ( app(app(sK58,X0),sK56) = app(sK58,app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8915,c_22631]) ).
tcf(c_93580,plain,
! [X0: $i] :
( ( app(app(sK56,X0),sK56) = app(sK56,app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8907,c_22631]) ).
tcf(c_93581,plain,
! [X0: $i] :
( ( app(app(iPr_def_12,X0),sK56) = app(iPr_def_12,app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12842,c_22631]) ).
tcf(c_93582,plain,
! [X0: $i] :
( ( app(app(iPr_def_10,X0),sK56) = app(iPr_def_10,app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_18245,c_22631]) ).
tcf(c_93583,plain,
! [X0: $i] :
( ( nil = sK59 )
| ( app(app(tl(sK59),X0),sK56) = app(tl(sK59),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15329,c_22631]) ).
tcf(c_93584,plain,
! [X0: $i] :
( ( nil = sK58 )
| ( app(app(tl(sK58),X0),sK56) = app(tl(sK58),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15365,c_22631]) ).
tcf(c_93585,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( app(app(tl(sK56),X0),sK56) = app(tl(sK56),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_15756,c_22631]) ).
tcf(c_93586,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK59),X0),sK56) = app(cons(sK60,sK59),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_83680,c_22631]) ).
tcf(c_93587,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK58),X0),sK56) = app(cons(sK60,sK58),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84476,c_22631]) ).
tcf(c_93588,plain,
! [X0: $i] :
( ( app(app(cons(sK60,sK56),X0),sK56) = app(cons(sK60,sK56),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_84910,c_22631]) ).
tcf(c_93589,plain,
! [X0: $i] :
( ( app(app(cons(sK60,iPr_def_12),X0),sK56) = app(cons(sK60,iPr_def_12),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_85563,c_22631]) ).
tcf(c_93590,plain,
! [X0: $i] :
( ( app(app(cons(sK60,iPr_def_10),X0),sK56) = app(cons(sK60,iPr_def_10),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89317,c_22631]) ).
tcf(c_93591,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK59,sK59)),X0),sK56) = app(app(sK59,app(sK59,sK59)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_22631]) ).
tcf(c_93592,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK58,sK59)),X0),sK56) = app(app(sK59,app(sK58,sK59)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_22631]) ).
tcf(c_93593,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK56,sK59)),X0),sK56) = app(app(sK59,app(sK56,sK59)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_22631]) ).
tcf(c_93594,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK59,sK59)),X0),sK56) = app(app(sK58,app(sK59,sK59)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_22631]) ).
tcf(c_93595,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK58,sK59)),X0),sK56) = app(app(sK58,app(sK58,sK59)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_22631]) ).
tcf(c_93596,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK56,sK59)),X0),sK56) = app(app(sK58,app(sK56,sK59)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_22631]) ).
tcf(c_93597,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK59,sK59)),X0),sK56) = app(app(sK56,app(sK59,sK59)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_22631]) ).
tcf(c_93598,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK58,sK59)),X0),sK56) = app(app(sK56,app(sK58,sK59)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_22631]) ).
tcf(c_93599,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK56,sK59)),X0),sK56) = app(app(sK56,app(sK56,sK59)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_22631]) ).
tcf(c_93600,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK59,sK58)),X0),sK56) = app(app(sK59,app(sK59,sK58)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_22631]) ).
tcf(c_93601,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK58,sK58)),X0),sK56) = app(app(sK59,app(sK58,sK58)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_22631]) ).
tcf(c_93602,plain,
! [X0: $i] :
( ( app(app(app(sK59,app(sK56,sK58)),X0),sK56) = app(app(sK59,app(sK56,sK58)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_22631]) ).
tcf(c_93603,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK59,sK58)),X0),sK56) = app(app(sK58,app(sK59,sK58)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_22631]) ).
tcf(c_93604,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK58,sK58)),X0),sK56) = app(app(sK58,app(sK58,sK58)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_22631]) ).
tcf(c_93605,plain,
! [X0: $i] :
( ( app(app(app(sK58,app(sK56,sK58)),X0),sK56) = app(app(sK58,app(sK56,sK58)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_22631]) ).
tcf(c_93606,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK59,sK58)),X0),sK56) = app(app(sK56,app(sK59,sK58)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_22631]) ).
tcf(c_93607,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK58,sK58)),X0),sK56) = app(app(sK56,app(sK58,sK58)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_22631]) ).
tcf(c_93608,plain,
! [X0: $i] :
( ( app(app(app(sK56,app(sK56,sK58)),X0),sK56) = app(app(sK56,app(sK56,sK58)),app(X0,sK56)) )
| ~ ssList(X0)
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_22631]) ).
tcf(c_93998,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK8(X0,X1)),sK56) = app(sK59,app(sK8(X0,X1),sK56)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_93578]) ).
tcf(c_93999,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK9(X0,X1)),sK56) = app(sK59,app(sK9(X0,X1),sK56)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_93578]) ).
tcf(c_94000,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,app(X0,X1)),sK56) = app(sK59,app(app(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_153,c_93578]) ).
tcf(c_94001,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK11(X0,X1)),sK56) = app(sK59,app(sK11(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_62,c_93578]) ).
tcf(c_94002,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK12(X0,X1)),sK56) = app(sK59,app(sK12(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_93578]) ).
tcf(c_94003,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK13(X0,X1)),sK56) = app(sK59,app(sK13(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_68,c_93578]) ).
tcf(c_94004,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,sK14(X0,X1)),sK56) = app(sK59,app(sK14(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_93578]) ).
tcf(c_94014,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK59,sK34(X0)),sK56) = app(sK59,app(sK34(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_109,c_93578]) ).
tcf(c_94015,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK59,sK33(X0)),sK56) = app(sK59,app(sK33(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_110,c_93578]) ).
tcf(c_94016,plain,
! [X0: $i] :
( totalorderedP(X0)
| ( app(app(sK59,sK32(X0)),sK56) = app(sK59,app(sK32(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_111,c_93578]) ).
tcf(c_94017,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK59,sK39(X0)),sK56) = app(sK59,app(sK39(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_117,c_93578]) ).
tcf(c_94018,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK59,sK38(X0)),sK56) = app(sK59,app(sK38(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_118,c_93578]) ).
tcf(c_94019,plain,
! [X0: $i] :
( strictorderedP(X0)
| ( app(app(sK59,sK37(X0)),sK56) = app(sK59,app(sK37(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_119,c_93578]) ).
tcf(c_94020,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK59,sK44(X0)),sK56) = app(sK59,app(sK44(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_125,c_93578]) ).
tcf(c_94021,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK59,sK43(X0)),sK56) = app(sK59,app(sK43(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_126,c_93578]) ).
tcf(c_94022,plain,
! [X0: $i] :
( duplicatefreeP(X0)
| ( app(app(sK59,sK42(X0)),sK56) = app(sK59,app(sK42(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_127,c_93578]) ).
tcf(c_94023,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK59,sK48(X0)),sK56) = app(sK59,app(sK48(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_133,c_93578]) ).
tcf(c_94024,plain,
! [X0: $i] :
( equalelemsP(X0)
| ( app(app(sK59,sK47(X0)),sK56) = app(sK59,app(sK47(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_134,c_93578]) ).
tcf(c_94025,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK59,cons(X0,X1)),sK56) = app(sK59,app(cons(X0,X1),sK56)) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_140,c_93578]) ).
tcf(c_94026,plain,
app(app(sK59,nil),sK56) = app(sK59,app(nil,sK56)),
inference(superposition,[status(thm)],[c_141,c_93578]) ).
tcf(c_94027,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK59,sK49(X0)),sK56) = app(sK59,app(sK49(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_145,c_93578]) ).
tcf(c_94028,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK59,tl(X0)),sK56) = app(sK59,app(tl(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_151,c_93578]) ).
tcf(c_94029,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK59,sK52(X0)),sK56) = app(sK59,app(sK52(X0),sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_221,c_93578]) ).
tcf(c_94030,plain,
app(app(sK59,sK59),sK56) = app(sK59,app(sK59,sK56)),
inference(superposition,[status(thm)],[c_8916,c_93578]) ).
tcf(c_94031,plain,
app(app(sK59,sK58),sK56) = app(sK59,app(sK58,sK56)),
inference(superposition,[status(thm)],[c_8915,c_93578]) ).
tcf(c_94032,plain,
app(app(sK59,sK56),sK56) = app(sK59,app(sK56,sK56)),
inference(superposition,[status(thm)],[c_8907,c_93578]) ).
tcf(c_94033,plain,
app(app(sK59,iPr_def_12),sK56) = app(sK59,app(iPr_def_12,sK56)),
inference(superposition,[status(thm)],[c_12842,c_93578]) ).
tcf(c_94034,plain,
app(app(sK59,iPr_def_10),sK56) = app(sK59,app(iPr_def_10,sK56)),
inference(superposition,[status(thm)],[c_18245,c_93578]) ).
tcf(c_94035,plain,
( ( nil = sK59 )
| ( app(app(sK59,tl(sK59)),sK56) = app(sK59,app(tl(sK59),sK56)) ) ),
inference(superposition,[status(thm)],[c_15329,c_93578]) ).
tcf(c_94036,plain,
( ( nil = sK58 )
| ( app(app(sK59,tl(sK58)),sK56) = app(sK59,app(tl(sK58),sK56)) ) ),
inference(superposition,[status(thm)],[c_15365,c_93578]) ).
tcf(c_94037,plain,
( ( nil = sK56 )
| ( app(app(sK59,tl(sK56)),sK56) = app(sK59,app(tl(sK56),sK56)) ) ),
inference(superposition,[status(thm)],[c_15756,c_93578]) ).
tcf(c_94038,plain,
app(app(sK59,cons(sK60,sK59)),sK56) = app(sK59,app(cons(sK60,sK59),sK56)),
inference(superposition,[status(thm)],[c_83680,c_93578]) ).
tcf(c_94039,plain,
app(app(sK59,cons(sK60,sK58)),sK56) = app(sK59,app(cons(sK60,sK58),sK56)),
inference(superposition,[status(thm)],[c_84476,c_93578]) ).
tcf(c_94040,plain,
app(app(sK59,cons(sK60,sK56)),sK56) = app(sK59,app(cons(sK60,sK56),sK56)),
inference(superposition,[status(thm)],[c_84910,c_93578]) ).
tcf(c_94041,plain,
app(app(sK59,cons(sK60,iPr_def_12)),sK56) = app(sK59,app(cons(sK60,iPr_def_12),sK56)),
inference(superposition,[status(thm)],[c_85563,c_93578]) ).
tcf(c_94042,plain,
app(app(sK59,cons(sK60,iPr_def_10)),sK56) = app(sK59,app(cons(sK60,iPr_def_10),sK56)),
inference(superposition,[status(thm)],[c_89317,c_93578]) ).
tcf(c_94043,plain,
( ( app(app(sK59,app(sK59,app(sK59,sK59))),sK56) = app(sK59,app(app(sK59,app(sK59,sK59)),sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_64438,c_93578]) ).
tcf(c_94044,plain,
( ( app(app(sK59,app(sK59,app(sK58,sK59))),sK56) = app(sK59,app(app(sK59,app(sK58,sK59)),sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_64905,c_93578]) ).
tcf(c_94045,plain,
( ( app(app(sK59,app(sK59,app(sK56,sK59))),sK56) = app(sK59,app(app(sK59,app(sK56,sK59)),sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_65561,c_93578]) ).
tcf(c_94046,plain,
( ( app(app(sK59,app(sK58,app(sK59,sK59))),sK56) = app(sK59,app(app(sK58,app(sK59,sK59)),sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_67208,c_93578]) ).
tcf(c_94047,plain,
( ( app(app(sK59,app(sK58,app(sK58,sK59))),sK56) = app(sK59,app(app(sK58,app(sK58,sK59)),sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_67735,c_93578]) ).
tcf(c_94048,plain,
( ( app(app(sK59,app(sK58,app(sK56,sK59))),sK56) = app(sK59,app(app(sK58,app(sK56,sK59)),sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_68210,c_93578]) ).
tcf(c_94049,plain,
( ( app(app(sK59,app(sK56,app(sK59,sK59))),sK56) = app(sK59,app(app(sK56,app(sK59,sK59)),sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_70536,c_93578]) ).
tcf(c_94050,plain,
( ( app(app(sK59,app(sK56,app(sK58,sK59))),sK56) = app(sK59,app(app(sK56,app(sK58,sK59)),sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_71131,c_93578]) ).
tcf(c_94051,plain,
( ( app(app(sK59,app(sK56,app(sK56,sK59))),sK56) = app(sK59,app(app(sK56,app(sK56,sK59)),sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_71522,c_93578]) ).
tcf(c_94052,plain,
( ( app(app(sK59,app(sK59,app(sK59,sK58))),sK56) = app(sK59,app(app(sK59,app(sK59,sK58)),sK56)) )
| ~ ssList(app(sK59,sK59)) ),
inference(superposition,[status(thm)],[c_75699,c_93578]) ).
tcf(c_94053,plain,
( ( app(app(sK59,app(sK59,app(sK58,sK58))),sK56) = app(sK59,app(app(sK59,app(sK58,sK58)),sK56)) )
| ~ ssList(app(sK59,sK58)) ),
inference(superposition,[status(thm)],[c_76423,c_93578]) ).
tcf(c_94054,plain,
( ( app(app(sK59,app(sK59,app(sK56,sK58))),sK56) = app(sK59,app(app(sK59,app(sK56,sK58)),sK56)) )
| ~ ssList(app(sK59,sK56)) ),
inference(superposition,[status(thm)],[c_77618,c_93578]) ).
tcf(c_94055,plain,
( ( app(app(sK59,app(sK58,app(sK59,sK58))),sK56) = app(sK59,app(app(sK58,app(sK59,sK58)),sK56)) )
| ~ ssList(app(sK58,sK59)) ),
inference(superposition,[status(thm)],[c_80366,c_93578]) ).
tcf(c_94056,plain,
( ( app(app(sK59,app(sK58,app(sK58,sK58))),sK56) = app(sK59,app(app(sK58,app(sK58,sK58)),sK56)) )
| ~ ssList(app(sK58,sK58)) ),
inference(superposition,[status(thm)],[c_80734,c_93578]) ).
tcf(c_94057,plain,
( ( app(app(sK59,app(sK58,app(sK56,sK58))),sK56) = app(sK59,app(app(sK58,app(sK56,sK58)),sK56)) )
| ~ ssList(app(sK58,sK56)) ),
inference(superposition,[status(thm)],[c_81555,c_93578]) ).
tcf(c_94058,plain,
( ( app(app(sK59,app(sK56,app(sK59,sK58))),sK56) = app(sK59,app(app(sK56,app(sK59,sK58)),sK56)) )
| ~ ssList(app(sK56,sK59)) ),
inference(superposition,[status(thm)],[c_90031,c_93578]) ).
tcf(c_94059,plain,
( ( app(app(sK59,app(sK56,app(sK58,sK58))),sK56) = app(sK59,app(app(sK56,app(sK58,sK58)),sK56)) )
| ~ ssList(app(sK56,sK58)) ),
inference(superposition,[status(thm)],[c_90606,c_93578]) ).
tcf(c_94060,plain,
( ( app(app(sK59,app(sK56,app(sK56,sK58))),sK56) = app(sK59,app(app(sK56,app(sK56,sK58)),sK56)) )
| ~ ssList(app(sK56,sK56)) ),
inference(superposition,[status(thm)],[c_90860,c_93578]) ).
tcf(c_94061,plain,
app(app(sK59,iPr_def_10),sK56) = app(sK59,cons(sK60,sK56)),
inference(light_normalisation,[status(thm)],[c_94034,c_83220]) ).
tcf(c_94063,plain,
app(app(sK59,cons(sK60,sK56)),sK56) = app(sK59,cons(sK60,app(sK56,sK56))),
inference(light_normalisation,[status(thm)],[c_94040,c_89182]) ).
tcf(c_94064,plain,
app(app(sK59,cons(sK60,sK58)),sK56) = app(sK59,cons(sK60,app(sK58,sK56))),
inference(light_normalisation,[status(thm)],[c_94039,c_89187]) ).
tcf(c_94065,plain,
app(app(sK59,cons(sK60,sK59)),sK56) = app(sK59,cons(sK60,app(sK59,sK56))),
inference(light_normalisation,[status(thm)],[c_94038,c_89200]) ).
fof(f223,definition,
! [X0] :
( sP0(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ leq(X2,X1)
| ~ leq(X1,X2) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f224,definition,
! [X0] :
( ~ sP1(X0)
| ( cyclefreeP(X0)
<=> sP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f225,plain,
! [X0] :
( ~ ssList(X0)
| sP1(X0) ),
inference(definition_folding,[],[f105,f224,f223]) ).
fof(f226,definition,
! [X0] :
( sP2(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| leq(X2,X1)
| leq(X1,X2) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f227,definition,
! [X0] :
( ~ sP3(X0)
| ( totalorderP(X0)
<=> sP2(X0) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f228,plain,
! [X0] :
( ~ ssList(X0)
| sP3(X0) ),
inference(definition_folding,[],[f107,f227,f226]) ).
fof(f229,definition,
! [X0] :
( sP4(X0)
<=> ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| lt(X2,X1)
| lt(X1,X2) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f230,definition,
! [X0] :
( ~ sP5(X0)
| ( strictorderP(X0)
<=> sP4(X0) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f231,plain,
! [X0] :
( ~ ssList(X0)
| sP5(X0) ),
inference(definition_folding,[],[f109,f230,f229]) ).
fof(f250,plain,
! [X0] :
( ( ~ sP0(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ leq(X2,X1)
| ~ leq(X1,X2) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& leq(X2,X1)
& leq(X1,X2) ) ) ) ) )
| sP0(X0) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f251,plain,
! [X0] :
( ( ~ sP0(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ leq(X7,X6)
| ~ leq(X6,X7) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& leq(X2,X1)
& leq(X1,X2) ) ) ) ) )
| sP0(X0) ) ),
inference(rectify,[],[f250]) ).
fof(f252,plain,
! [X0] :
( ( ~ sP0(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ leq(X7,X6)
| ~ leq(X6,X7) ) ) ) ) ) )
& ( ( ssItem(sK15(X0))
& ssItem(sK16(X0))
& ssList(sK17(X0))
& ssList(sK18(X0))
& ssList(sK19(X0))
& app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0
& leq(sK16(X0),sK15(X0))
& leq(sK15(X0),sK16(X0)) )
| sP0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18,sK19]),skolemize(X1,sK15(X0)),skolemize(X2,sK16(X0)),skolemize(X3,sK17(X0)),skolemize(X4,sK18(X0)),skolemize(X5,sK19(X0))],[f251]) ).
fof(f254,plain,
! [X0] :
( ( ~ sP2(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| leq(X2,X1)
| leq(X1,X2) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ~ leq(X2,X1)
& ~ leq(X1,X2) ) ) ) ) )
| sP2(X0) ) ),
inference(nnf_transformation,[],[f226]) ).
fof(f255,plain,
! [X0] :
( ( ~ sP2(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| leq(X7,X6)
| leq(X6,X7) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ~ leq(X2,X1)
& ~ leq(X1,X2) ) ) ) ) )
| sP2(X0) ) ),
inference(rectify,[],[f254]) ).
fof(f256,plain,
! [X0] :
( ( ~ sP2(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| leq(X7,X6)
| leq(X6,X7) ) ) ) ) ) )
& ( ( ssItem(sK20(X0))
& ssItem(sK21(X0))
& ssList(sK22(X0))
& ssList(sK23(X0))
& ssList(sK24(X0))
& app(app(sK22(X0),cons(sK20(X0),sK23(X0))),cons(sK21(X0),sK24(X0))) = X0
& ~ leq(sK21(X0),sK20(X0))
& ~ leq(sK20(X0),sK21(X0)) )
| sP2(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24]),skolemize(X1,sK20(X0)),skolemize(X2,sK21(X0)),skolemize(X3,sK22(X0)),skolemize(X4,sK23(X0)),skolemize(X5,sK24(X0))],[f255]) ).
fof(f258,plain,
! [X0] :
( ( ~ sP4(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| lt(X2,X1)
| lt(X1,X2) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ~ lt(X2,X1)
& ~ lt(X1,X2) ) ) ) ) )
| sP4(X0) ) ),
inference(nnf_transformation,[],[f229]) ).
fof(f259,plain,
! [X0] :
( ( ~ sP4(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| lt(X7,X6)
| lt(X6,X7) ) ) ) ) ) )
& ( ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ~ lt(X2,X1)
& ~ lt(X1,X2) ) ) ) ) )
| sP4(X0) ) ),
inference(rectify,[],[f258]) ).
fof(f260,plain,
! [X0] :
( ( ~ sP4(X0)
| ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| lt(X7,X6)
| lt(X6,X7) ) ) ) ) ) )
& ( ( ssItem(sK25(X0))
& ssItem(sK26(X0))
& ssList(sK27(X0))
& ssList(sK28(X0))
& ssList(sK29(X0))
& app(app(sK27(X0),cons(sK25(X0),sK28(X0))),cons(sK26(X0),sK29(X0))) = X0
& ~ lt(sK26(X0),sK25(X0))
& ~ lt(sK25(X0),sK26(X0)) )
| sP4(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26,sK27,sK28,sK29]),skolemize(X1,sK25(X0)),skolemize(X2,sK26(X0)),skolemize(X3,sK27(X0)),skolemize(X4,sK28(X0)),skolemize(X5,sK29(X0))],[f259]) ).
fof(f321,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ sP0(X0)
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ leq(X7,X6)
| ~ leq(X6,X7) ),
inference(cnf_transformation,[],[f252]) ).
fof(f322,plain,
! [X0] :
( ssItem(sK15(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f323,plain,
! [X0] :
( ssItem(sK16(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f324,plain,
! [X0] :
( ssList(sK17(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f325,plain,
! [X0] :
( ssList(sK18(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f326,plain,
! [X0] :
( ssList(sK19(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f327,plain,
! [X0] :
( app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0
| sP0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f328,plain,
! [X0] :
( leq(sK16(X0),sK15(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f329,plain,
! [X0] :
( leq(sK15(X0),sK16(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f333,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ sP2(X0)
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| leq(X7,X6)
| leq(X6,X7) ),
inference(cnf_transformation,[],[f256]) ).
fof(f334,plain,
! [X0] :
( ssItem(sK20(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f335,plain,
! [X0] :
( ssItem(sK21(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f336,plain,
! [X0] :
( ssList(sK22(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f337,plain,
! [X0] :
( ssList(sK23(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f338,plain,
! [X0] :
( ssList(sK24(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f339,plain,
! [X0] :
( app(app(sK22(X0),cons(sK20(X0),sK23(X0))),cons(sK21(X0),sK24(X0))) = X0
| sP2(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f340,plain,
! [X0] :
( ~ leq(sK21(X0),sK20(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f341,plain,
! [X0] :
( ~ leq(sK20(X0),sK21(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f345,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ sP4(X0)
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| lt(X7,X6)
| lt(X6,X7) ),
inference(cnf_transformation,[],[f260]) ).
fof(f346,plain,
! [X0] :
( ssItem(sK25(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f347,plain,
! [X0] :
( ssItem(sK26(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f348,plain,
! [X0] :
( ssList(sK27(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f349,plain,
! [X0] :
( ssList(sK28(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f350,plain,
! [X0] :
( ssList(sK29(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f351,plain,
! [X0] :
( app(app(sK27(X0),cons(sK25(X0),sK28(X0))),cons(sK26(X0),sK29(X0))) = X0
| sP4(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f352,plain,
! [X0] :
( ~ lt(sK26(X0),sK25(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f353,plain,
! [X0] :
( ~ lt(sK25(X0),sK26(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f522,plain,
! [X10,X8,X6,X9,X7] :
( ~ sP0(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| ~ leq(X7,X6)
| ~ leq(X6,X7) ),
inference(equality_resolution,[],[f321]) ).
fof(f523,plain,
! [X10,X8,X6,X9,X7] :
( ~ sP2(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| leq(X7,X6)
| leq(X6,X7) ),
inference(equality_resolution,[],[f333]) ).
fof(f524,plain,
! [X10,X8,X6,X9,X7] :
( ~ sP4(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssItem(X6)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| lt(X7,X6)
| lt(X6,X7) ),
inference(equality_resolution,[],[f345]) ).
tcf(c_73,plain,
! [X0: $i] :
( sP0(X0)
| leq(sK15(X0),sK16(X0)) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_74,plain,
! [X0: $i] :
( sP0(X0)
| leq(sK16(X0),sK15(X0)) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_75,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0 ) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_76,plain,
! [X0: $i] :
( sP0(X0)
| ssList(sK19(X0)) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_77,plain,
! [X0: $i] :
( sP0(X0)
| ssList(sK18(X0)) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_78,plain,
! [X0: $i] :
( sP0(X0)
| ssList(sK17(X0)) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_79,plain,
! [X0: $i] :
( sP0(X0)
| ssItem(sK16(X0)) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_80,plain,
! [X0: $i] :
( sP0(X0)
| ssItem(sK15(X0)) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ leq(X3,X1)
| ~ leq(X1,X3)
| ~ sP0(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(cnf_transformation,[],[f522]) ).
tcf(c_85,plain,
! [X0: $i] :
( sP2(X0)
| ~ leq(sK20(X0),sK21(X0)) ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_86,plain,
! [X0: $i] :
( sP2(X0)
| ~ leq(sK21(X0),sK20(X0)) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_87,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK22(X0),cons(sK20(X0),sK23(X0))),cons(sK21(X0),sK24(X0))) = X0 ) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_88,plain,
! [X0: $i] :
( sP2(X0)
| ssList(sK24(X0)) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_89,plain,
! [X0: $i] :
( sP2(X0)
| ssList(sK23(X0)) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_90,plain,
! [X0: $i] :
( sP2(X0)
| ssList(sK22(X0)) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_91,plain,
! [X0: $i] :
( sP2(X0)
| ssItem(sK21(X0)) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_92,plain,
! [X0: $i] :
( sP2(X0)
| ssItem(sK20(X0)) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X3,X1)
| leq(X1,X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ sP2(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(cnf_transformation,[],[f523]) ).
tcf(c_97,plain,
! [X0: $i] :
( sP4(X0)
| ~ lt(sK25(X0),sK26(X0)) ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_98,plain,
! [X0: $i] :
( sP4(X0)
| ~ lt(sK26(X0),sK25(X0)) ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_99,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK27(X0),cons(sK25(X0),sK28(X0))),cons(sK26(X0),sK29(X0))) = X0 ) ),
inference(cnf_transformation,[],[f351]) ).
tcf(c_100,plain,
! [X0: $i] :
( sP4(X0)
| ssList(sK29(X0)) ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_101,plain,
! [X0: $i] :
( sP4(X0)
| ssList(sK28(X0)) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_102,plain,
! [X0: $i] :
( sP4(X0)
| ssList(sK27(X0)) ),
inference(cnf_transformation,[],[f348]) ).
tcf(c_103,plain,
! [X0: $i] :
( sP4(X0)
| ssItem(sK26(X0)) ),
inference(cnf_transformation,[],[f347]) ).
tcf(c_104,plain,
! [X0: $i] :
( sP4(X0)
| ssItem(sK25(X0)) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X3,X1)
| lt(X1,X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ sP4(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(cnf_transformation,[],[f524]) ).
tcf(c_12511,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK19(X0)) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_155]) ).
tcf(c_12512,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK18(X0)) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_155]) ).
tcf(c_12513,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK17(X0)) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_155]) ).
tcf(c_12514,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK24(X0)) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_155]) ).
tcf(c_12515,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK23(X0)) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_155]) ).
tcf(c_12516,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK22(X0)) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_155]) ).
tcf(c_12517,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK29(X0)) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_155]) ).
tcf(c_12518,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK28(X0)) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_155]) ).
tcf(c_12519,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK27(X0)) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_155]) ).
tcf(c_12611,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK19(X0),nil) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_232]) ).
tcf(c_12612,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK18(X0),nil) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_232]) ).
tcf(c_12613,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK17(X0),nil) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_232]) ).
tcf(c_12614,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK24(X0),nil) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_232]) ).
tcf(c_12615,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK23(X0),nil) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_232]) ).
tcf(c_12616,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK22(X0),nil) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_232]) ).
tcf(c_12617,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK29(X0),nil) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_232]) ).
tcf(c_12618,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK28(X0),nil) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_232]) ).
tcf(c_12619,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK27(X0),nil) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_232]) ).
tcf(c_12972,plain,
! [X0: $i] :
( sP0(X0)
| duplicatefreeP(sK19(X0))
| ( sK40(sK19(X0)) = sK41(sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_123]) ).
tcf(c_12973,plain,
! [X0: $i] :
( sP0(X0)
| duplicatefreeP(sK18(X0))
| ( sK40(sK18(X0)) = sK41(sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_123]) ).
tcf(c_12974,plain,
! [X0: $i] :
( sP0(X0)
| duplicatefreeP(sK17(X0))
| ( sK40(sK17(X0)) = sK41(sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_123]) ).
tcf(c_12975,plain,
! [X0: $i] :
( sP2(X0)
| duplicatefreeP(sK24(X0))
| ( sK40(sK24(X0)) = sK41(sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_123]) ).
tcf(c_12976,plain,
! [X0: $i] :
( sP2(X0)
| duplicatefreeP(sK23(X0))
| ( sK40(sK23(X0)) = sK41(sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_123]) ).
tcf(c_12977,plain,
! [X0: $i] :
( sP2(X0)
| duplicatefreeP(sK22(X0))
| ( sK40(sK22(X0)) = sK41(sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_123]) ).
tcf(c_12978,plain,
! [X0: $i] :
( sP4(X0)
| duplicatefreeP(sK29(X0))
| ( sK40(sK29(X0)) = sK41(sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_123]) ).
tcf(c_12979,plain,
! [X0: $i] :
( sP4(X0)
| duplicatefreeP(sK28(X0))
| ( sK40(sK28(X0)) = sK41(sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_123]) ).
tcf(c_12980,plain,
! [X0: $i] :
( sP4(X0)
| duplicatefreeP(sK27(X0))
| ( sK40(sK27(X0)) = sK41(sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_123]) ).
tcf(c_13804,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( hd(cons(sK16(X1),X0)) = sK16(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79,c_150]) ).
tcf(c_13805,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( hd(cons(sK15(X1),X0)) = sK15(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_80,c_150]) ).
tcf(c_13806,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( hd(cons(sK21(X1),X0)) = sK21(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_91,c_150]) ).
tcf(c_13807,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( hd(cons(sK20(X1),X0)) = sK20(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_92,c_150]) ).
tcf(c_13808,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( hd(cons(sK26(X1),X0)) = sK26(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_103,c_150]) ).
tcf(c_13809,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( hd(cons(sK25(X1),X0)) = sK25(X1) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_104,c_150]) ).
tcf(c_13980,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( tl(cons(sK16(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79,c_152]) ).
tcf(c_13981,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( tl(cons(sK15(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_80,c_152]) ).
tcf(c_13982,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( tl(cons(sK21(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_91,c_152]) ).
tcf(c_13983,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( tl(cons(sK20(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_92,c_152]) ).
tcf(c_13984,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( tl(cons(sK26(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_103,c_152]) ).
tcf(c_13985,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( tl(cons(sK25(X1),X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_104,c_152]) ).
tcf(c_14121,plain,
! [X0: $i] :
( sP0(X0)
| geq(sK16(X0),sK15(X0))
| ~ ssItem(sK16(X0))
| ~ ssItem(sK15(X0)) ),
inference(superposition,[status(thm)],[c_73,c_159]) ).
tcf(c_14122,plain,
! [X0: $i] :
( sP0(X0)
| geq(sK15(X0),sK16(X0))
| ~ ssItem(sK16(X0))
| ~ ssItem(sK15(X0)) ),
inference(superposition,[status(thm)],[c_74,c_159]) ).
tcf(c_14227,plain,
! [X0: $i] :
( sP0(X0)
| ( sK19(X0) = nil )
| ( hd(sK19(X0)) = sK51(sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_220]) ).
tcf(c_14228,plain,
! [X0: $i] :
( sP0(X0)
| ( sK18(X0) = nil )
| ( hd(sK18(X0)) = sK51(sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_220]) ).
tcf(c_14229,plain,
! [X0: $i] :
( sP0(X0)
| ( sK17(X0) = nil )
| ( hd(sK17(X0)) = sK51(sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_220]) ).
tcf(c_14230,plain,
! [X0: $i] :
( sP2(X0)
| ( sK24(X0) = nil )
| ( hd(sK24(X0)) = sK51(sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_220]) ).
tcf(c_14231,plain,
! [X0: $i] :
( sP2(X0)
| ( sK23(X0) = nil )
| ( hd(sK23(X0)) = sK51(sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_220]) ).
tcf(c_14232,plain,
! [X0: $i] :
( sP2(X0)
| ( sK22(X0) = nil )
| ( hd(sK22(X0)) = sK51(sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_220]) ).
tcf(c_14233,plain,
! [X0: $i] :
( sP4(X0)
| ( sK29(X0) = nil )
| ( hd(sK29(X0)) = sK51(sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_220]) ).
tcf(c_14234,plain,
! [X0: $i] :
( sP4(X0)
| ( sK28(X0) = nil )
| ( hd(sK28(X0)) = sK51(sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_220]) ).
tcf(c_14235,plain,
! [X0: $i] :
( sP4(X0)
| ( sK27(X0) = nil )
| ( hd(sK27(X0)) = sK51(sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_220]) ).
tcf(c_14412,plain,
! [X0: $i] :
( sP0(X0)
| ( sK19(X0) = nil )
| ( tl(sK19(X0)) = sK52(sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_222]) ).
tcf(c_14413,plain,
! [X0: $i] :
( sP0(X0)
| ( sK18(X0) = nil )
| ( tl(sK18(X0)) = sK52(sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_222]) ).
tcf(c_14414,plain,
! [X0: $i] :
( sP0(X0)
| ( sK17(X0) = nil )
| ( tl(sK17(X0)) = sK52(sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_222]) ).
tcf(c_14415,plain,
! [X0: $i] :
( sP2(X0)
| ( sK24(X0) = nil )
| ( tl(sK24(X0)) = sK52(sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_222]) ).
tcf(c_14416,plain,
! [X0: $i] :
( sP2(X0)
| ( sK23(X0) = nil )
| ( tl(sK23(X0)) = sK52(sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_222]) ).
tcf(c_14417,plain,
! [X0: $i] :
( sP2(X0)
| ( sK22(X0) = nil )
| ( tl(sK22(X0)) = sK52(sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_222]) ).
tcf(c_14418,plain,
! [X0: $i] :
( sP4(X0)
| ( sK29(X0) = nil )
| ( tl(sK29(X0)) = sK52(sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_222]) ).
tcf(c_14419,plain,
! [X0: $i] :
( sP4(X0)
| ( sK28(X0) = nil )
| ( tl(sK28(X0)) = sK52(sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_222]) ).
tcf(c_14420,plain,
! [X0: $i] :
( sP4(X0)
| ( sK27(X0) = nil )
| ( tl(sK27(X0)) = sK52(sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_222]) ).
tcf(c_14642,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK57,sK19(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_76,c_13821]) ).
tcf(c_14643,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK57,sK18(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_77,c_13821]) ).
tcf(c_14644,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK57,sK17(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_78,c_13821]) ).
tcf(c_14645,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK57,sK24(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_88,c_13821]) ).
tcf(c_14646,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK57,sK23(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_89,c_13821]) ).
tcf(c_14647,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK57,sK22(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_90,c_13821]) ).
tcf(c_14648,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK57,sK29(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_100,c_13821]) ).
tcf(c_14649,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK57,sK28(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_101,c_13821]) ).
tcf(c_14650,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK57,sK27(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_102,c_13821]) ).
tcf(c_14814,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK57,sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_13997]) ).
tcf(c_14815,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK57,sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_13997]) ).
tcf(c_14816,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK57,sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_13997]) ).
tcf(c_14817,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK57,sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_13997]) ).
tcf(c_14818,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK57,sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_13997]) ).
tcf(c_14819,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK57,sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_13997]) ).
tcf(c_14820,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK57,sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_13997]) ).
tcf(c_14821,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK57,sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_13997]) ).
tcf(c_14822,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK57,sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_13997]) ).
tcf(c_15458,plain,
! [X0: $i] :
( sP0(X0)
| ( sK19(X0) = nil )
| ( cons(sK50(sK19(X0)),sK49(sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_147]) ).
tcf(c_15459,plain,
! [X0: $i] :
( sP0(X0)
| ( sK18(X0) = nil )
| ( cons(sK50(sK18(X0)),sK49(sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_147]) ).
tcf(c_15460,plain,
! [X0: $i] :
( sP0(X0)
| ( sK17(X0) = nil )
| ( cons(sK50(sK17(X0)),sK49(sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_147]) ).
tcf(c_15461,plain,
! [X0: $i] :
( sP2(X0)
| ( sK24(X0) = nil )
| ( cons(sK50(sK24(X0)),sK49(sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_147]) ).
tcf(c_15462,plain,
! [X0: $i] :
( sP2(X0)
| ( sK23(X0) = nil )
| ( cons(sK50(sK23(X0)),sK49(sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_147]) ).
tcf(c_15463,plain,
! [X0: $i] :
( sP2(X0)
| ( sK22(X0) = nil )
| ( cons(sK50(sK22(X0)),sK49(sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_147]) ).
tcf(c_15464,plain,
! [X0: $i] :
( sP4(X0)
| ( sK29(X0) = nil )
| ( cons(sK50(sK29(X0)),sK49(sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_147]) ).
tcf(c_15465,plain,
! [X0: $i] :
( sP4(X0)
| ( sK28(X0) = nil )
| ( cons(sK50(sK28(X0)),sK49(sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_147]) ).
tcf(c_15466,plain,
! [X0: $i] :
( sP4(X0)
| ( sK27(X0) = nil )
| ( cons(sK50(sK27(X0)),sK49(sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_147]) ).
tcf(c_15894,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK19(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_76,c_13822]) ).
tcf(c_15895,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK18(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_77,c_13822]) ).
tcf(c_15896,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK17(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_78,c_13822]) ).
tcf(c_15897,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK24(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_88,c_13822]) ).
tcf(c_15898,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK23(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_89,c_13822]) ).
tcf(c_15899,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK22(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_90,c_13822]) ).
tcf(c_15900,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK29(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_100,c_13822]) ).
tcf(c_15901,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK28(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_101,c_13822]) ).
tcf(c_15902,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(cons(sK60,sK27(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_102,c_13822]) ).
tcf(c_16272,plain,
! [X0: $i] :
( sP0(X0)
| ( sK19(X0) = nil )
| ( cons(hd(sK19(X0)),tl(sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_224]) ).
tcf(c_16273,plain,
! [X0: $i] :
( sP0(X0)
| ( sK18(X0) = nil )
| ( cons(hd(sK18(X0)),tl(sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_224]) ).
tcf(c_16274,plain,
! [X0: $i] :
( sP0(X0)
| ( sK17(X0) = nil )
| ( cons(hd(sK17(X0)),tl(sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_224]) ).
tcf(c_16275,plain,
! [X0: $i] :
( sP2(X0)
| ( sK24(X0) = nil )
| ( cons(hd(sK24(X0)),tl(sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_224]) ).
tcf(c_16276,plain,
! [X0: $i] :
( sP2(X0)
| ( sK23(X0) = nil )
| ( cons(hd(sK23(X0)),tl(sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_224]) ).
tcf(c_16277,plain,
! [X0: $i] :
( sP2(X0)
| ( sK22(X0) = nil )
| ( cons(hd(sK22(X0)),tl(sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_224]) ).
tcf(c_16278,plain,
! [X0: $i] :
( sP4(X0)
| ( sK29(X0) = nil )
| ( cons(hd(sK29(X0)),tl(sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_224]) ).
tcf(c_16279,plain,
! [X0: $i] :
( sP4(X0)
| ( sK28(X0) = nil )
| ( cons(hd(sK28(X0)),tl(sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_224]) ).
tcf(c_16280,plain,
! [X0: $i] :
( sP4(X0)
| ( sK27(X0) = nil )
| ( cons(hd(sK27(X0)),tl(sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_224]) ).
tcf(c_16583,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(cons(sK16(X1),nil),X0) = cons(sK16(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79,c_227]) ).
tcf(c_16584,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(cons(sK15(X1),nil),X0) = cons(sK15(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_80,c_227]) ).
tcf(c_16585,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(cons(sK21(X1),nil),X0) = cons(sK21(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_91,c_227]) ).
tcf(c_16586,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(cons(sK20(X1),nil),X0) = cons(sK20(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_92,c_227]) ).
tcf(c_16587,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(cons(sK26(X1),nil),X0) = cons(sK26(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_103,c_227]) ).
tcf(c_16588,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(cons(sK25(X1),nil),X0) = cons(sK25(X1),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_104,c_227]) ).
tcf(c_17255,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_13998]) ).
tcf(c_17256,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_13998]) ).
tcf(c_17257,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_13998]) ).
tcf(c_17258,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_13998]) ).
tcf(c_17259,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_13998]) ).
tcf(c_17260,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_13998]) ).
tcf(c_17261,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_13998]) ).
tcf(c_17262,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_13998]) ).
tcf(c_17263,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( tl(cons(sK60,sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_13998]) ).
tcf(c_17760,plain,
! [X0: $i] :
( sP0(X0)
| lt(sK15(X0),sK16(X0))
| ( sK15(X0) = sK16(X0) )
| ~ ssItem(sK16(X0))
| ~ ssItem(sK15(X0)) ),
inference(superposition,[status(thm)],[c_73,c_241]) ).
tcf(c_17761,plain,
! [X0: $i] :
( sP0(X0)
| lt(sK16(X0),sK15(X0))
| ( sK15(X0) = sK16(X0) )
| ~ ssItem(sK16(X0))
| ~ ssItem(sK15(X0)) ),
inference(superposition,[status(thm)],[c_74,c_241]) ).
tcf(c_18330,plain,
! [X0: $i] :
( sP0(X0)
| ( sK15(X0) = sK16(X0) )
| ~ ssItem(sK16(X0))
| ~ ssItem(sK15(X0))
| ~ leq(sK16(X0),sK15(X0)) ),
inference(superposition,[status(thm)],[c_73,c_156]) ).
tcf(c_18331,plain,
! [X0: $i] :
( sP0(X0)
| ( sK15(X0) = sK16(X0) )
| ~ ssItem(sK16(X0))
| ~ ssItem(sK15(X0))
| ~ leq(sK15(X0),sK16(X0)) ),
inference(superposition,[status(thm)],[c_74,c_156]) ).
tcf(c_19160,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( sK19(X1) = nil )
| ( hd(app(sK19(X1),X0)) = hd(sK19(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_76,c_233]) ).
tcf(c_19161,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( sK18(X1) = nil )
| ( hd(app(sK18(X1),X0)) = hd(sK18(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_77,c_233]) ).
tcf(c_19162,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( sK17(X1) = nil )
| ( hd(app(sK17(X1),X0)) = hd(sK17(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_233]) ).
tcf(c_19163,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( sK24(X1) = nil )
| ( hd(app(sK24(X1),X0)) = hd(sK24(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_88,c_233]) ).
tcf(c_19164,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( sK23(X1) = nil )
| ( hd(app(sK23(X1),X0)) = hd(sK23(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89,c_233]) ).
tcf(c_19165,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( sK22(X1) = nil )
| ( hd(app(sK22(X1),X0)) = hd(sK22(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_90,c_233]) ).
tcf(c_19166,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( sK29(X1) = nil )
| ( hd(app(sK29(X1),X0)) = hd(sK29(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_100,c_233]) ).
tcf(c_19167,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( sK28(X1) = nil )
| ( hd(app(sK28(X1),X0)) = hd(sK28(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_101,c_233]) ).
tcf(c_19168,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( sK27(X1) = nil )
| ( hd(app(sK27(X1),X0)) = hd(sK27(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_102,c_233]) ).
tcf(c_19608,plain,
! [X0: $i] :
( sP0(X0)
| equalelemsP(sK19(X0))
| ( app(sK47(sK19(X0)),cons(sK45(sK19(X0)),cons(sK46(sK19(X0)),sK48(sK19(X0))))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_132]) ).
tcf(c_19609,plain,
! [X0: $i] :
( sP0(X0)
| equalelemsP(sK18(X0))
| ( app(sK47(sK18(X0)),cons(sK45(sK18(X0)),cons(sK46(sK18(X0)),sK48(sK18(X0))))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_132]) ).
tcf(c_19610,plain,
! [X0: $i] :
( sP0(X0)
| equalelemsP(sK17(X0))
| ( app(sK47(sK17(X0)),cons(sK45(sK17(X0)),cons(sK46(sK17(X0)),sK48(sK17(X0))))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_132]) ).
tcf(c_19611,plain,
! [X0: $i] :
( sP2(X0)
| equalelemsP(sK24(X0))
| ( app(sK47(sK24(X0)),cons(sK45(sK24(X0)),cons(sK46(sK24(X0)),sK48(sK24(X0))))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_132]) ).
tcf(c_19612,plain,
! [X0: $i] :
( sP2(X0)
| equalelemsP(sK23(X0))
| ( app(sK47(sK23(X0)),cons(sK45(sK23(X0)),cons(sK46(sK23(X0)),sK48(sK23(X0))))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_132]) ).
tcf(c_19613,plain,
! [X0: $i] :
( sP2(X0)
| equalelemsP(sK22(X0))
| ( app(sK47(sK22(X0)),cons(sK45(sK22(X0)),cons(sK46(sK22(X0)),sK48(sK22(X0))))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_132]) ).
tcf(c_19614,plain,
! [X0: $i] :
( sP4(X0)
| equalelemsP(sK29(X0))
| ( app(sK47(sK29(X0)),cons(sK45(sK29(X0)),cons(sK46(sK29(X0)),sK48(sK29(X0))))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_132]) ).
tcf(c_19615,plain,
! [X0: $i] :
( sP4(X0)
| equalelemsP(sK28(X0))
| ( app(sK47(sK28(X0)),cons(sK45(sK28(X0)),cons(sK46(sK28(X0)),sK48(sK28(X0))))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_132]) ).
tcf(c_19616,plain,
! [X0: $i] :
( sP4(X0)
| equalelemsP(sK27(X0))
| ( app(sK47(sK27(X0)),cons(sK45(sK27(X0)),cons(sK46(sK27(X0)),sK48(sK27(X0))))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_132]) ).
tcf(c_20337,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| leq(sK15(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(sK16(X0))
| ~ ssItem(sK15(X0))
| ~ leq(sK16(X0),X1) ),
inference(superposition,[status(thm)],[c_73,c_157]) ).
tcf(c_20338,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| leq(sK16(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(sK16(X0))
| ~ ssItem(sK15(X0))
| ~ leq(sK15(X0),X1) ),
inference(superposition,[status(thm)],[c_74,c_157]) ).
tcf(c_20433,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK19(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_76,c_19185]) ).
tcf(c_20434,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK18(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_77,c_19185]) ).
tcf(c_20435,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK17(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_78,c_19185]) ).
tcf(c_20436,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK24(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_88,c_19185]) ).
tcf(c_20437,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK23(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_89,c_19185]) ).
tcf(c_20438,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK22(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_90,c_19185]) ).
tcf(c_20439,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK29(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_100,c_19185]) ).
tcf(c_20440,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK28(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_101,c_19185]) ).
tcf(c_20441,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( hd(app(sK59,sK27(X0))) = hd(sK59) ) ),
inference(superposition,[status(thm)],[c_102,c_19185]) ).
tcf(c_21376,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK19(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_76,c_19186]) ).
tcf(c_21377,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK18(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_77,c_19186]) ).
tcf(c_21378,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK17(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_78,c_19186]) ).
tcf(c_21379,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK24(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_88,c_19186]) ).
tcf(c_21380,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK23(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_89,c_19186]) ).
tcf(c_21381,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK22(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_90,c_19186]) ).
tcf(c_21382,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK29(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_100,c_19186]) ).
tcf(c_21383,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK28(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_101,c_19186]) ).
tcf(c_21384,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK58 )
| ( hd(app(sK58,sK27(X0))) = hd(sK58) ) ),
inference(superposition,[status(thm)],[c_102,c_19186]) ).
tcf(c_21633,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( sK19(X1) = nil )
| ( app(tl(sK19(X1)),X0) = tl(app(sK19(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_76,c_234]) ).
tcf(c_21634,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( sK18(X1) = nil )
| ( app(tl(sK18(X1)),X0) = tl(app(sK18(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_77,c_234]) ).
tcf(c_21635,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( sK17(X1) = nil )
| ( app(tl(sK17(X1)),X0) = tl(app(sK17(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_234]) ).
tcf(c_21636,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( sK24(X1) = nil )
| ( app(tl(sK24(X1)),X0) = tl(app(sK24(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_88,c_234]) ).
tcf(c_21637,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( sK23(X1) = nil )
| ( app(tl(sK23(X1)),X0) = tl(app(sK23(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89,c_234]) ).
tcf(c_21638,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( sK22(X1) = nil )
| ( app(tl(sK22(X1)),X0) = tl(app(sK22(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_90,c_234]) ).
tcf(c_21639,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( sK29(X1) = nil )
| ( app(tl(sK29(X1)),X0) = tl(app(sK29(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_100,c_234]) ).
tcf(c_21640,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( sK28(X1) = nil )
| ( app(tl(sK28(X1)),X0) = tl(app(sK28(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_101,c_234]) ).
tcf(c_21641,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( sK27(X1) = nil )
| ( app(tl(sK27(X1)),X0) = tl(app(sK27(X1),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_102,c_234]) ).
tcf(c_21960,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| lt(sK15(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(sK16(X0))
| ~ ssItem(sK15(X0))
| ~ lt(sK16(X0),X1) ),
inference(superposition,[status(thm)],[c_73,c_239]) ).
tcf(c_21961,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| lt(sK16(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(sK16(X0))
| ~ ssItem(sK15(X0))
| ~ lt(sK15(X0),X1) ),
inference(superposition,[status(thm)],[c_74,c_239]) ).
tcf(c_22130,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| ( cons(sK16(X2),app(X1,X0)) = app(cons(sK16(X2),X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_79,c_154]) ).
tcf(c_22131,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| ( cons(sK15(X2),app(X1,X0)) = app(cons(sK15(X2),X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_80,c_154]) ).
tcf(c_22132,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X2)
| ( cons(sK21(X2),app(X1,X0)) = app(cons(sK21(X2),X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_91,c_154]) ).
tcf(c_22133,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X2)
| ( cons(sK20(X2),app(X1,X0)) = app(cons(sK20(X2),X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_92,c_154]) ).
tcf(c_22134,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP4(X2)
| ( cons(sK26(X2),app(X1,X0)) = app(cons(sK26(X2),X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_103,c_154]) ).
tcf(c_22135,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP4(X2)
| ( cons(sK25(X2),app(X1,X0)) = app(cons(sK25(X2),X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_104,c_154]) ).
tcf(c_22604,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| ( app(app(X0,X1),sK19(X2)) = app(X0,app(X1,sK19(X2))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_76,c_228]) ).
tcf(c_22605,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| ( app(app(X0,X1),sK18(X2)) = app(X0,app(X1,sK18(X2))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_77,c_228]) ).
tcf(c_22606,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| ( app(app(X0,X1),sK17(X2)) = app(X0,app(X1,sK17(X2))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_228]) ).
tcf(c_22607,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X2)
| ( app(app(X0,X1),sK24(X2)) = app(X0,app(X1,sK24(X2))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_88,c_228]) ).
tcf(c_22608,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X2)
| ( app(app(X0,X1),sK23(X2)) = app(X0,app(X1,sK23(X2))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89,c_228]) ).
tcf(c_22609,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X2)
| ( app(app(X0,X1),sK22(X2)) = app(X0,app(X1,sK22(X2))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_90,c_228]) ).
tcf(c_22610,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP4(X2)
| ( app(app(X0,X1),sK29(X2)) = app(X0,app(X1,sK29(X2))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_100,c_228]) ).
tcf(c_22611,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP4(X2)
| ( app(app(X0,X1),sK28(X2)) = app(X0,app(X1,sK28(X2))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_101,c_228]) ).
tcf(c_22612,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP4(X2)
| ( app(app(X0,X1),sK27(X2)) = app(X0,app(X1,sK27(X2))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_102,c_228]) ).
tcf(c_23403,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK19(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_76,c_19187]) ).
tcf(c_23404,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK18(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_77,c_19187]) ).
tcf(c_23405,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK17(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_78,c_19187]) ).
tcf(c_23406,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK24(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_88,c_19187]) ).
tcf(c_23407,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK23(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_89,c_19187]) ).
tcf(c_23408,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK22(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_90,c_19187]) ).
tcf(c_23409,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK29(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_100,c_19187]) ).
tcf(c_23410,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK28(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_101,c_19187]) ).
tcf(c_23411,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( hd(app(sK56,sK27(X0))) = hd(sK56) ) ),
inference(superposition,[status(thm)],[c_102,c_19187]) ).
tcf(c_23624,plain,
! [X0: $i] :
( sP0(X0)
| totalorderedP(sK19(X0))
| ( app(app(sK32(sK19(X0)),cons(sK30(sK19(X0)),sK33(sK19(X0)))),cons(sK31(sK19(X0)),sK34(sK19(X0)))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_108]) ).
tcf(c_23625,plain,
! [X0: $i] :
( sP0(X0)
| totalorderedP(sK18(X0))
| ( app(app(sK32(sK18(X0)),cons(sK30(sK18(X0)),sK33(sK18(X0)))),cons(sK31(sK18(X0)),sK34(sK18(X0)))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_108]) ).
tcf(c_23626,plain,
! [X0: $i] :
( sP0(X0)
| totalorderedP(sK17(X0))
| ( app(app(sK32(sK17(X0)),cons(sK30(sK17(X0)),sK33(sK17(X0)))),cons(sK31(sK17(X0)),sK34(sK17(X0)))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_108]) ).
tcf(c_23627,plain,
! [X0: $i] :
( sP2(X0)
| totalorderedP(sK24(X0))
| ( app(app(sK32(sK24(X0)),cons(sK30(sK24(X0)),sK33(sK24(X0)))),cons(sK31(sK24(X0)),sK34(sK24(X0)))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_108]) ).
tcf(c_23628,plain,
! [X0: $i] :
( sP2(X0)
| totalorderedP(sK23(X0))
| ( app(app(sK32(sK23(X0)),cons(sK30(sK23(X0)),sK33(sK23(X0)))),cons(sK31(sK23(X0)),sK34(sK23(X0)))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_108]) ).
tcf(c_23629,plain,
! [X0: $i] :
( sP2(X0)
| totalorderedP(sK22(X0))
| ( app(app(sK32(sK22(X0)),cons(sK30(sK22(X0)),sK33(sK22(X0)))),cons(sK31(sK22(X0)),sK34(sK22(X0)))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_108]) ).
tcf(c_23630,plain,
! [X0: $i] :
( sP4(X0)
| totalorderedP(sK29(X0))
| ( app(app(sK32(sK29(X0)),cons(sK30(sK29(X0)),sK33(sK29(X0)))),cons(sK31(sK29(X0)),sK34(sK29(X0)))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_108]) ).
tcf(c_23631,plain,
! [X0: $i] :
( sP4(X0)
| totalorderedP(sK28(X0))
| ( app(app(sK32(sK28(X0)),cons(sK30(sK28(X0)),sK33(sK28(X0)))),cons(sK31(sK28(X0)),sK34(sK28(X0)))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_108]) ).
tcf(c_23632,plain,
! [X0: $i] :
( sP4(X0)
| totalorderedP(sK27(X0))
| ( app(app(sK32(sK27(X0)),cons(sK30(sK27(X0)),sK33(sK27(X0)))),cons(sK31(sK27(X0)),sK34(sK27(X0)))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_108]) ).
tcf(c_23910,plain,
! [X0: $i] :
( sP0(X0)
| strictorderedP(sK19(X0))
| ( app(app(sK37(sK19(X0)),cons(sK35(sK19(X0)),sK38(sK19(X0)))),cons(sK36(sK19(X0)),sK39(sK19(X0)))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_116]) ).
tcf(c_23911,plain,
! [X0: $i] :
( sP0(X0)
| strictorderedP(sK18(X0))
| ( app(app(sK37(sK18(X0)),cons(sK35(sK18(X0)),sK38(sK18(X0)))),cons(sK36(sK18(X0)),sK39(sK18(X0)))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_116]) ).
tcf(c_23912,plain,
! [X0: $i] :
( sP0(X0)
| strictorderedP(sK17(X0))
| ( app(app(sK37(sK17(X0)),cons(sK35(sK17(X0)),sK38(sK17(X0)))),cons(sK36(sK17(X0)),sK39(sK17(X0)))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_116]) ).
tcf(c_23913,plain,
! [X0: $i] :
( sP2(X0)
| strictorderedP(sK24(X0))
| ( app(app(sK37(sK24(X0)),cons(sK35(sK24(X0)),sK38(sK24(X0)))),cons(sK36(sK24(X0)),sK39(sK24(X0)))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_116]) ).
tcf(c_23914,plain,
! [X0: $i] :
( sP2(X0)
| strictorderedP(sK23(X0))
| ( app(app(sK37(sK23(X0)),cons(sK35(sK23(X0)),sK38(sK23(X0)))),cons(sK36(sK23(X0)),sK39(sK23(X0)))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_116]) ).
tcf(c_23915,plain,
! [X0: $i] :
( sP2(X0)
| strictorderedP(sK22(X0))
| ( app(app(sK37(sK22(X0)),cons(sK35(sK22(X0)),sK38(sK22(X0)))),cons(sK36(sK22(X0)),sK39(sK22(X0)))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_116]) ).
tcf(c_23916,plain,
! [X0: $i] :
( sP4(X0)
| strictorderedP(sK29(X0))
| ( app(app(sK37(sK29(X0)),cons(sK35(sK29(X0)),sK38(sK29(X0)))),cons(sK36(sK29(X0)),sK39(sK29(X0)))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_116]) ).
tcf(c_23917,plain,
! [X0: $i] :
( sP4(X0)
| strictorderedP(sK28(X0))
| ( app(app(sK37(sK28(X0)),cons(sK35(sK28(X0)),sK38(sK28(X0)))),cons(sK36(sK28(X0)),sK39(sK28(X0)))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_116]) ).
tcf(c_23918,plain,
! [X0: $i] :
( sP4(X0)
| strictorderedP(sK27(X0))
| ( app(app(sK37(sK27(X0)),cons(sK35(sK27(X0)),sK38(sK27(X0)))),cons(sK36(sK27(X0)),sK39(sK27(X0)))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_116]) ).
tcf(c_24175,plain,
! [X0: $i] :
( sP0(X0)
| duplicatefreeP(sK19(X0))
| ( app(app(sK42(sK19(X0)),cons(sK40(sK19(X0)),sK43(sK19(X0)))),cons(sK41(sK19(X0)),sK44(sK19(X0)))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_124]) ).
tcf(c_24176,plain,
! [X0: $i] :
( sP0(X0)
| duplicatefreeP(sK18(X0))
| ( app(app(sK42(sK18(X0)),cons(sK40(sK18(X0)),sK43(sK18(X0)))),cons(sK41(sK18(X0)),sK44(sK18(X0)))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_124]) ).
tcf(c_24177,plain,
! [X0: $i] :
( sP0(X0)
| duplicatefreeP(sK17(X0))
| ( app(app(sK42(sK17(X0)),cons(sK40(sK17(X0)),sK43(sK17(X0)))),cons(sK41(sK17(X0)),sK44(sK17(X0)))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_124]) ).
tcf(c_24178,plain,
! [X0: $i] :
( sP2(X0)
| duplicatefreeP(sK24(X0))
| ( app(app(sK42(sK24(X0)),cons(sK40(sK24(X0)),sK43(sK24(X0)))),cons(sK41(sK24(X0)),sK44(sK24(X0)))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_124]) ).
tcf(c_24179,plain,
! [X0: $i] :
( sP2(X0)
| duplicatefreeP(sK23(X0))
| ( app(app(sK42(sK23(X0)),cons(sK40(sK23(X0)),sK43(sK23(X0)))),cons(sK41(sK23(X0)),sK44(sK23(X0)))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_124]) ).
tcf(c_24180,plain,
! [X0: $i] :
( sP2(X0)
| duplicatefreeP(sK22(X0))
| ( app(app(sK42(sK22(X0)),cons(sK40(sK22(X0)),sK43(sK22(X0)))),cons(sK41(sK22(X0)),sK44(sK22(X0)))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_124]) ).
tcf(c_24181,plain,
! [X0: $i] :
( sP4(X0)
| duplicatefreeP(sK29(X0))
| ( app(app(sK42(sK29(X0)),cons(sK40(sK29(X0)),sK43(sK29(X0)))),cons(sK41(sK29(X0)),sK44(sK29(X0)))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_124]) ).
tcf(c_24182,plain,
! [X0: $i] :
( sP4(X0)
| duplicatefreeP(sK28(X0))
| ( app(app(sK42(sK28(X0)),cons(sK40(sK28(X0)),sK43(sK28(X0)))),cons(sK41(sK28(X0)),sK44(sK28(X0)))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_124]) ).
tcf(c_24183,plain,
! [X0: $i] :
( sP4(X0)
| duplicatefreeP(sK27(X0))
| ( app(app(sK42(sK27(X0)),cons(sK40(sK27(X0)),sK43(sK27(X0)))),cons(sK41(sK27(X0)),sK44(sK27(X0)))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_124]) ).
tcf(c_27917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( app(app(sK22(app(app(X2,cons(X0,X3)),cons(X1,X4))),cons(sK20(app(app(X2,cons(X0,X3)),cons(X1,X4))),sK23(app(app(X2,cons(X0,X3)),cons(X1,X4))))),cons(sK21(app(app(X2,cons(X0,X3)),cons(X1,X4))),sK24(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = app(app(X2,cons(X0,X3)),cons(X1,X4)) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_87,c_93]) ).
tcf(c_27918,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| leq(X0,sK60)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(sK56,sK60))
| ~ ssList(sK8(sK56,sK60))
| ~ sP2(app(sK56,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22922,c_93]) ).
tcf(c_27919,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_12,sK57))
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ sP2(app(iPr_def_12,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22921,c_93]) ).
tcf(c_27920,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_11,sK57))
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ sP2(app(iPr_def_11,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22920,c_93]) ).
tcf(c_27921,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_10,sK57))
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ sP2(app(iPr_def_10,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22918,c_93]) ).
tcf(c_27922,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK57,X1)
| leq(X1,sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP2(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_8903,c_93]) ).
tcf(c_27923,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK60,X1)
| leq(X1,sK60)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP2(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_8902,c_93]) ).
tcf(c_27924,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(sK59))
| leq(sK50(sK59),X1)
| ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ sP2(app(app(X0,sK59),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15483,c_93]) ).
tcf(c_27925,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(sK58))
| leq(sK50(sK58),X1)
| ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ sP2(app(app(X0,sK58),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15484,c_93]) ).
tcf(c_27926,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(sK56))
| leq(sK50(sK56),X1)
| ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ sP2(app(app(X0,sK56),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15485,c_93]) ).
tcf(c_27927,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sK59))
| leq(hd(sK59),X1)
| ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ sP2(app(app(X0,sK59),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16297,c_93]) ).
tcf(c_27928,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sK58))
| leq(hd(sK58),X1)
| ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ sP2(app(app(X0,sK58),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16298,c_93]) ).
tcf(c_27929,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sK56))
| leq(hd(sK56),X1)
| ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ sP2(app(app(X0,sK56),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16299,c_93]) ).
tcf(c_27930,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_11))
| leq(sK10(iPr_def_11),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ sP2(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_17013,c_93]) ).
tcf(c_27931,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK57,X1)
| leq(X1,sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(superposition,[status(thm)],[c_8903,c_93]) ).
tcf(c_27932,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK60,X1)
| leq(X1,sK60)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(superposition,[status(thm)],[c_8902,c_93]) ).
tcf(c_27933,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(sK59))
| leq(sK50(sK59),X1)
| ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ sP2(app(app(X0,cons(X1,X2)),sK59)) ),
inference(superposition,[status(thm)],[c_15483,c_93]) ).
tcf(c_27934,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(sK58))
| leq(sK50(sK58),X1)
| ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ sP2(app(app(X0,cons(X1,X2)),sK58)) ),
inference(superposition,[status(thm)],[c_15484,c_93]) ).
tcf(c_27935,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(sK56))
| leq(sK50(sK56),X1)
| ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ sP2(app(app(X0,cons(X1,X2)),sK56)) ),
inference(superposition,[status(thm)],[c_15485,c_93]) ).
tcf(c_27936,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sK59))
| leq(hd(sK59),X1)
| ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ sP2(app(app(X0,cons(X1,X2)),sK59)) ),
inference(superposition,[status(thm)],[c_16297,c_93]) ).
tcf(c_27937,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sK58))
| leq(hd(sK58),X1)
| ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ sP2(app(app(X0,cons(X1,X2)),sK58)) ),
inference(superposition,[status(thm)],[c_16298,c_93]) ).
tcf(c_27938,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(sK56))
| leq(hd(sK56),X1)
| ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ sP2(app(app(X0,cons(X1,X2)),sK56)) ),
inference(superposition,[status(thm)],[c_16299,c_93]) ).
tcf(c_27939,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_11))
| leq(sK10(iPr_def_11),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(superposition,[status(thm)],[c_17013,c_93]) ).
tcf(c_27940,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK60,X1)
| leq(X1,sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27932,c_141,c_18252]) ).
tcf(c_27947,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK57,X1)
| leq(X1,sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27931,c_141,c_8914]) ).
tcf(c_27954,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK60,X1)
| leq(X1,sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP2(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27923,c_141,c_18252]) ).
tcf(c_27961,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(sK57,X1)
| leq(X1,sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP2(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27922,c_141,c_8914]) ).
tcf(c_27968,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_10,sK57))
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ sP2(app(iPr_def_10,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27921,c_8914]) ).
tcf(c_27976,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_11,sK57))
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ sP2(app(iPr_def_11,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27920,c_8914]) ).
tcf(c_27984,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_12,sK57))
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ sP2(app(iPr_def_12,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27919,c_8914]) ).
tcf(c_27992,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| leq(X0,sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(sK56,sK60))
| ~ ssList(sK8(sK56,sK60))
| ~ sP2(app(sK56,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27918,c_18252]) ).
tcf(c_28000,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_11))
| leq(sK10(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27939,c_141]) ).
tcf(c_28008,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_11))
| leq(sK10(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ sP2(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27930,c_141]) ).
tcf(c_28166,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(iPr_def_11))
| leq(sK50(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ sP2(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15492,c_93]) ).
tcf(c_28168,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(iPr_def_11))
| leq(sK50(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15492,c_93]) ).
tcf(c_28942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( app(app(sK27(app(app(X2,cons(X0,X3)),cons(X1,X4))),cons(sK25(app(app(X2,cons(X0,X3)),cons(X1,X4))),sK28(app(app(X2,cons(X0,X3)),cons(X1,X4))))),cons(sK26(app(app(X2,cons(X0,X3)),cons(X1,X4))),sK29(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = app(app(X2,cons(X0,X3)),cons(X1,X4)) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_99,c_105]) ).
tcf(c_28943,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| lt(X0,sK60)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(sK56,sK60))
| ~ ssList(sK8(sK56,sK60))
| ~ sP4(app(sK56,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22922,c_105]) ).
tcf(c_28944,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_12,sK57))
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ sP4(app(iPr_def_12,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22921,c_105]) ).
tcf(c_28945,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_11,sK57))
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ sP4(app(iPr_def_11,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22920,c_105]) ).
tcf(c_28946,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_10,sK57))
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ sP4(app(iPr_def_10,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22918,c_105]) ).
tcf(c_28947,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK57,X1)
| lt(X1,sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP4(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_8903,c_105]) ).
tcf(c_28948,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK60,X1)
| lt(X1,sK60)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP4(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_8902,c_105]) ).
tcf(c_28949,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(sK59))
| lt(sK50(sK59),X1)
| ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ sP4(app(app(X0,sK59),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15483,c_105]) ).
tcf(c_28950,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(sK58))
| lt(sK50(sK58),X1)
| ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ sP4(app(app(X0,sK58),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15484,c_105]) ).
tcf(c_28951,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(sK56))
| lt(sK50(sK56),X1)
| ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ sP4(app(app(X0,sK56),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15485,c_105]) ).
tcf(c_28952,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(iPr_def_11))
| lt(sK50(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ sP4(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15492,c_105]) ).
tcf(c_28953,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sK59))
| lt(hd(sK59),X1)
| ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ sP4(app(app(X0,sK59),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16297,c_105]) ).
tcf(c_28954,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sK58))
| lt(hd(sK58),X1)
| ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ sP4(app(app(X0,sK58),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16298,c_105]) ).
tcf(c_28955,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sK56))
| lt(hd(sK56),X1)
| ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ sP4(app(app(X0,sK56),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16299,c_105]) ).
tcf(c_28956,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_11))
| lt(sK10(iPr_def_11),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ sP4(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_17013,c_105]) ).
tcf(c_28957,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK57,X1)
| lt(X1,sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(superposition,[status(thm)],[c_8903,c_105]) ).
tcf(c_28958,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK60,X1)
| lt(X1,sK60)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(superposition,[status(thm)],[c_8902,c_105]) ).
tcf(c_28959,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(sK59))
| lt(sK50(sK59),X1)
| ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ sP4(app(app(X0,cons(X1,X2)),sK59)) ),
inference(superposition,[status(thm)],[c_15483,c_105]) ).
tcf(c_28960,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(sK58))
| lt(sK50(sK58),X1)
| ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ sP4(app(app(X0,cons(X1,X2)),sK58)) ),
inference(superposition,[status(thm)],[c_15484,c_105]) ).
tcf(c_28961,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(sK56))
| lt(sK50(sK56),X1)
| ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ sP4(app(app(X0,cons(X1,X2)),sK56)) ),
inference(superposition,[status(thm)],[c_15485,c_105]) ).
tcf(c_28962,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(iPr_def_11))
| lt(sK50(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15492,c_105]) ).
tcf(c_28963,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sK59))
| lt(hd(sK59),X1)
| ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ sP4(app(app(X0,cons(X1,X2)),sK59)) ),
inference(superposition,[status(thm)],[c_16297,c_105]) ).
tcf(c_28964,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sK58))
| lt(hd(sK58),X1)
| ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ sP4(app(app(X0,cons(X1,X2)),sK58)) ),
inference(superposition,[status(thm)],[c_16298,c_105]) ).
tcf(c_28965,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(sK56))
| lt(hd(sK56),X1)
| ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ sP4(app(app(X0,cons(X1,X2)),sK56)) ),
inference(superposition,[status(thm)],[c_16299,c_105]) ).
tcf(c_28966,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_11))
| lt(sK10(iPr_def_11),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(superposition,[status(thm)],[c_17013,c_105]) ).
tcf(c_28967,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK60,X1)
| lt(X1,sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28958,c_141,c_18252]) ).
tcf(c_28974,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK57,X1)
| lt(X1,sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28957,c_141,c_8914]) ).
tcf(c_28981,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK60,X1)
| lt(X1,sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP4(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28948,c_141,c_18252]) ).
tcf(c_28988,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(sK57,X1)
| lt(X1,sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP4(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28947,c_141,c_8914]) ).
tcf(c_28995,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_10,sK57))
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ sP4(app(iPr_def_10,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28946,c_8914]) ).
tcf(c_29003,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_11,sK57))
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ sP4(app(iPr_def_11,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28945,c_8914]) ).
tcf(c_29011,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(iPr_def_12,sK57))
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ sP4(app(iPr_def_12,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28944,c_8914]) ).
tcf(c_29019,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| lt(X0,sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK9(sK56,sK60))
| ~ ssList(sK8(sK56,sK60))
| ~ sP4(app(sK56,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28943,c_18252]) ).
tcf(c_29027,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_11))
| lt(sK10(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28966,c_141]) ).
tcf(c_29035,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_11))
| lt(sK10(iPr_def_11),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ sP4(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28956,c_141]) ).
tcf(c_29476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( app(app(sK17(app(app(X2,cons(X0,X3)),cons(X1,X4))),cons(sK15(app(app(X2,cons(X0,X3)),cons(X1,X4))),sK18(app(app(X2,cons(X0,X3)),cons(X1,X4))))),cons(sK16(app(app(X2,cons(X0,X3)),cons(X1,X4))),sK19(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = app(app(X2,cons(X0,X3)),cons(X1,X4)) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_81]) ).
tcf(c_29477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( app(nil,sK17(app(app(X2,cons(X0,X3)),cons(X1,X4)))) = sK17(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_12513,c_81]) ).
tcf(c_29478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( app(nil,sK18(app(app(X2,cons(X0,X3)),cons(X1,X4)))) = sK18(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_12512,c_81]) ).
tcf(c_29479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( app(nil,sK19(app(app(X2,cons(X0,X3)),cons(X1,X4)))) = sK19(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_12511,c_81]) ).
tcf(c_29480,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK60,X0)
| ~ leq(X0,sK60)
| ~ ssList(sK9(sK56,sK60))
| ~ ssList(sK8(sK56,sK60))
| ~ sP0(app(sK56,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22922,c_81]) ).
tcf(c_29481,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ ssList(sK9(iPr_def_12,sK57))
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ sP0(app(iPr_def_12,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22921,c_81]) ).
tcf(c_29482,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ ssList(sK9(iPr_def_11,sK57))
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ sP0(app(iPr_def_11,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22920,c_81]) ).
tcf(c_29483,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ ssList(sK9(iPr_def_10,sK57))
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ sP0(app(iPr_def_10,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_22918,c_81]) ).
tcf(c_29484,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ leq(sK57,X1)
| ~ leq(X1,sK57)
| ~ sP0(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_8903,c_81]) ).
tcf(c_29485,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ leq(sK60,X1)
| ~ leq(X1,sK60)
| ~ sP0(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_8902,c_81]) ).
tcf(c_29486,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ leq(X1,sK50(sK59))
| ~ leq(sK50(sK59),X1)
| ~ sP0(app(app(X0,sK59),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15483,c_81]) ).
tcf(c_29487,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ leq(X1,sK50(sK58))
| ~ leq(sK50(sK58),X1)
| ~ sP0(app(app(X0,sK58),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15484,c_81]) ).
tcf(c_29488,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ leq(X1,sK50(sK56))
| ~ leq(sK50(sK56),X1)
| ~ sP0(app(app(X0,sK56),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15485,c_81]) ).
tcf(c_29489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ leq(X1,sK50(iPr_def_11))
| ~ leq(sK50(iPr_def_11),X1)
| ~ sP0(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15492,c_81]) ).
tcf(c_29490,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ leq(X1,hd(sK59))
| ~ leq(hd(sK59),X1)
| ~ sP0(app(app(X0,sK59),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16297,c_81]) ).
tcf(c_29491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ leq(X1,hd(sK58))
| ~ leq(hd(sK58),X1)
| ~ sP0(app(app(X0,sK58),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16298,c_81]) ).
tcf(c_29492,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ leq(X1,hd(sK56))
| ~ leq(hd(sK56),X1)
| ~ sP0(app(app(X0,sK56),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16299,c_81]) ).
tcf(c_29493,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ leq(X1,sK10(iPr_def_11))
| ~ leq(sK10(iPr_def_11),X1)
| ~ sP0(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_17013,c_81]) ).
tcf(c_29494,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ leq(sK57,X1)
| ~ leq(X1,sK57)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(superposition,[status(thm)],[c_8903,c_81]) ).
tcf(c_29495,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ leq(sK60,X1)
| ~ leq(X1,sK60)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(superposition,[status(thm)],[c_8902,c_81]) ).
tcf(c_29496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK59))
| ~ ssItem(sK50(sK59))
| ~ leq(X1,sK50(sK59))
| ~ leq(sK50(sK59),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),sK59)) ),
inference(superposition,[status(thm)],[c_15483,c_81]) ).
tcf(c_29497,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK58))
| ~ ssItem(sK50(sK58))
| ~ leq(X1,sK50(sK58))
| ~ leq(sK50(sK58),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),sK58)) ),
inference(superposition,[status(thm)],[c_15484,c_81]) ).
tcf(c_29498,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(sK56))
| ~ ssItem(sK50(sK56))
| ~ leq(X1,sK50(sK56))
| ~ leq(sK50(sK56),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),sK56)) ),
inference(superposition,[status(thm)],[c_15485,c_81]) ).
tcf(c_29499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_11))
| ~ ssItem(sK50(iPr_def_11))
| ~ leq(X1,sK50(iPr_def_11))
| ~ leq(sK50(iPr_def_11),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15492,c_81]) ).
tcf(c_29500,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK59 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK59))
| ~ ssItem(hd(sK59))
| ~ leq(X1,hd(sK59))
| ~ leq(hd(sK59),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),sK59)) ),
inference(superposition,[status(thm)],[c_16297,c_81]) ).
tcf(c_29501,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK58 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK58))
| ~ ssItem(hd(sK58))
| ~ leq(X1,hd(sK58))
| ~ leq(hd(sK58),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),sK58)) ),
inference(superposition,[status(thm)],[c_16298,c_81]) ).
tcf(c_29502,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK56 )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ leq(X1,hd(sK56))
| ~ leq(hd(sK56),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),sK56)) ),
inference(superposition,[status(thm)],[c_16299,c_81]) ).
tcf(c_29503,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ leq(X1,sK10(iPr_def_11))
| ~ leq(sK10(iPr_def_11),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(superposition,[status(thm)],[c_17013,c_81]) ).
tcf(c_29504,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ leq(sK60,X1)
| ~ leq(X1,sK60)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29495,c_141,c_18252]) ).
tcf(c_29511,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ leq(sK57,X1)
| ~ leq(X1,sK57)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29494,c_141,c_8914]) ).
tcf(c_29518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ leq(sK60,X1)
| ~ leq(X1,sK60)
| ~ sP0(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29485,c_141,c_18252]) ).
tcf(c_29525,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ leq(sK57,X1)
| ~ leq(X1,sK57)
| ~ sP0(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29484,c_141,c_8914]) ).
tcf(c_29532,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ ssList(sK9(iPr_def_10,sK57))
| ~ ssList(sK8(iPr_def_10,sK57))
| ~ sP0(app(iPr_def_10,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29483,c_8914]) ).
tcf(c_29540,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ ssList(sK9(iPr_def_11,sK57))
| ~ ssList(sK8(iPr_def_11,sK57))
| ~ sP0(app(iPr_def_11,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29482,c_8914]) ).
tcf(c_29548,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ ssList(sK9(iPr_def_12,sK57))
| ~ ssList(sK8(iPr_def_12,sK57))
| ~ sP0(app(iPr_def_12,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29481,c_8914]) ).
tcf(c_29556,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK60,X0)
| ~ leq(X0,sK60)
| ~ ssList(sK9(sK56,sK60))
| ~ ssList(sK8(sK56,sK60))
| ~ sP0(app(sK56,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29480,c_18252]) ).
tcf(c_29564,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ leq(X1,sK10(iPr_def_11))
| ~ leq(sK10(iPr_def_11),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29503,c_141]) ).
tcf(c_29572,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_11))
| ~ leq(X1,sK10(iPr_def_11))
| ~ leq(sK10(iPr_def_11),X1)
| ~ sP0(app(app(X0,iPr_def_11),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29493,c_141]) ).
tcf(c_34482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( app(nil,sK24(app(app(X2,cons(X0,X3)),cons(X1,X4)))) = sK24(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_12514,c_93]) ).
tcf(c_34811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( app(nil,sK23(app(app(X2,cons(X0,X3)),cons(X1,X4)))) = sK23(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_12515,c_93]) ).
tcf(c_34824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( app(nil,sK22(app(app(X2,cons(X0,X3)),cons(X1,X4)))) = sK22(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_12516,c_93]) ).
tcf(c_34839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( app(nil,sK29(app(app(X2,cons(X0,X3)),cons(X1,X4)))) = sK29(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_12517,c_105]) ).
tcf(c_34853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( app(nil,sK28(app(app(X2,cons(X0,X3)),cons(X1,X4)))) = sK28(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_12518,c_105]) ).
tcf(c_35143,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK19(X0)) = tl(app(sK59,sK19(X0))) ) ),
inference(superposition,[status(thm)],[c_76,c_21658]) ).
tcf(c_35144,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK18(X0)) = tl(app(sK59,sK18(X0))) ) ),
inference(superposition,[status(thm)],[c_77,c_21658]) ).
tcf(c_35145,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK17(X0)) = tl(app(sK59,sK17(X0))) ) ),
inference(superposition,[status(thm)],[c_78,c_21658]) ).
tcf(c_35146,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK24(X0)) = tl(app(sK59,sK24(X0))) ) ),
inference(superposition,[status(thm)],[c_88,c_21658]) ).
tcf(c_35147,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK23(X0)) = tl(app(sK59,sK23(X0))) ) ),
inference(superposition,[status(thm)],[c_89,c_21658]) ).
tcf(c_35148,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK22(X0)) = tl(app(sK59,sK22(X0))) ) ),
inference(superposition,[status(thm)],[c_90,c_21658]) ).
tcf(c_35149,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK29(X0)) = tl(app(sK59,sK29(X0))) ) ),
inference(superposition,[status(thm)],[c_100,c_21658]) ).
tcf(c_35150,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK28(X0)) = tl(app(sK59,sK28(X0))) ) ),
inference(superposition,[status(thm)],[c_101,c_21658]) ).
tcf(c_35151,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK59 )
| ( app(tl(sK59),sK27(X0)) = tl(app(sK59,sK27(X0))) ) ),
inference(superposition,[status(thm)],[c_102,c_21658]) ).
tcf(c_35685,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ leq(X1,sK50(iPr_def_10))
| ~ leq(sK50(iPr_def_10),X1)
| ~ sP0(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_35680,c_81]) ).
tcf(c_35686,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(iPr_def_10))
| lt(sK50(iPr_def_10),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ sP4(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_35680,c_105]) ).
tcf(c_35687,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(iPr_def_10))
| leq(sK50(iPr_def_10),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ sP2(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_35680,c_93]) ).
tcf(c_35691,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ leq(X1,sK50(iPr_def_10))
| ~ leq(sK50(iPr_def_10),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(superposition,[status(thm)],[c_35680,c_81]) ).
tcf(c_35692,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(iPr_def_10))
| lt(sK50(iPr_def_10),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(superposition,[status(thm)],[c_35680,c_105]) ).
tcf(c_35693,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(iPr_def_10))
| leq(sK50(iPr_def_10),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_10))
| ~ ssItem(sK50(iPr_def_10))
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(superposition,[status(thm)],[c_35680,c_93]) ).
tcf(c_36005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( app(nil,sK27(app(app(X2,cons(X0,X3)),cons(X1,X4)))) = sK27(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_12519,c_105]) ).
tcf(c_36019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( app(sK19(app(app(X2,cons(X0,X3)),cons(X1,X4))),nil) = sK19(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_12611,c_81]) ).
tcf(c_36033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( app(sK18(app(app(X2,cons(X0,X3)),cons(X1,X4))),nil) = sK18(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_12612,c_81]) ).
tcf(c_36047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( app(sK17(app(app(X2,cons(X0,X3)),cons(X1,X4))),nil) = sK17(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_12613,c_81]) ).
tcf(c_36113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( app(sK24(app(app(X2,cons(X0,X3)),cons(X1,X4))),nil) = sK24(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_12614,c_93]) ).
tcf(c_36126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( app(sK23(app(app(X2,cons(X0,X3)),cons(X1,X4))),nil) = sK23(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_12615,c_93]) ).
tcf(c_36139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( app(sK22(app(app(X2,cons(X0,X3)),cons(X1,X4))),nil) = sK22(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_12616,c_93]) ).
tcf(c_36152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( app(sK29(app(app(X2,cons(X0,X3)),cons(X1,X4))),nil) = sK29(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_12617,c_105]) ).
tcf(c_36184,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK19(X0)) = tl(app(sK58,sK19(X0))) ) ),
inference(superposition,[status(thm)],[c_76,c_21659]) ).
tcf(c_36185,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK18(X0)) = tl(app(sK58,sK18(X0))) ) ),
inference(superposition,[status(thm)],[c_77,c_21659]) ).
tcf(c_36186,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK17(X0)) = tl(app(sK58,sK17(X0))) ) ),
inference(superposition,[status(thm)],[c_78,c_21659]) ).
tcf(c_36187,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK24(X0)) = tl(app(sK58,sK24(X0))) ) ),
inference(superposition,[status(thm)],[c_88,c_21659]) ).
tcf(c_36188,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK23(X0)) = tl(app(sK58,sK23(X0))) ) ),
inference(superposition,[status(thm)],[c_89,c_21659]) ).
tcf(c_36189,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK22(X0)) = tl(app(sK58,sK22(X0))) ) ),
inference(superposition,[status(thm)],[c_90,c_21659]) ).
tcf(c_36190,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK29(X0)) = tl(app(sK58,sK29(X0))) ) ),
inference(superposition,[status(thm)],[c_100,c_21659]) ).
tcf(c_36191,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK28(X0)) = tl(app(sK58,sK28(X0))) ) ),
inference(superposition,[status(thm)],[c_101,c_21659]) ).
tcf(c_36192,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK58 )
| ( app(tl(sK58),sK27(X0)) = tl(app(sK58,sK27(X0))) ) ),
inference(superposition,[status(thm)],[c_102,c_21659]) ).
tcf(c_36472,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK19(X0)) = tl(app(sK56,sK19(X0))) ) ),
inference(superposition,[status(thm)],[c_76,c_21660]) ).
tcf(c_36473,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK18(X0)) = tl(app(sK56,sK18(X0))) ) ),
inference(superposition,[status(thm)],[c_77,c_21660]) ).
tcf(c_36474,plain,
! [X0: $i] :
( sP0(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK17(X0)) = tl(app(sK56,sK17(X0))) ) ),
inference(superposition,[status(thm)],[c_78,c_21660]) ).
tcf(c_36475,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK24(X0)) = tl(app(sK56,sK24(X0))) ) ),
inference(superposition,[status(thm)],[c_88,c_21660]) ).
tcf(c_36476,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK23(X0)) = tl(app(sK56,sK23(X0))) ) ),
inference(superposition,[status(thm)],[c_89,c_21660]) ).
tcf(c_36477,plain,
! [X0: $i] :
( sP2(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK22(X0)) = tl(app(sK56,sK22(X0))) ) ),
inference(superposition,[status(thm)],[c_90,c_21660]) ).
tcf(c_36478,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK29(X0)) = tl(app(sK56,sK29(X0))) ) ),
inference(superposition,[status(thm)],[c_100,c_21660]) ).
tcf(c_36479,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK28(X0)) = tl(app(sK56,sK28(X0))) ) ),
inference(superposition,[status(thm)],[c_101,c_21660]) ).
tcf(c_36480,plain,
! [X0: $i] :
( sP4(X0)
| ( nil = sK56 )
| ( app(tl(sK56),sK27(X0)) = tl(app(sK56,sK27(X0))) ) ),
inference(superposition,[status(thm)],[c_102,c_21660]) ).
tcf(c_36757,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ leq(X1,sK50(iPr_def_12))
| ~ leq(sK50(iPr_def_12),X1)
| ~ sP0(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_36751,c_81]) ).
tcf(c_36758,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(iPr_def_12))
| lt(sK50(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ sP4(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_36751,c_105]) ).
tcf(c_36759,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(iPr_def_12))
| leq(sK50(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ sP2(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_36751,c_93]) ).
tcf(c_36763,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ leq(X1,sK50(iPr_def_12))
| ~ leq(sK50(iPr_def_12),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(superposition,[status(thm)],[c_36751,c_81]) ).
tcf(c_36764,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(iPr_def_12))
| lt(sK50(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(superposition,[status(thm)],[c_36751,c_105]) ).
tcf(c_36765,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(iPr_def_12))
| leq(sK50(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(iPr_def_12))
| ~ ssItem(sK50(iPr_def_12))
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(superposition,[status(thm)],[c_36751,c_93]) ).
tcf(c_37121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( app(sK28(app(app(X2,cons(X0,X3)),cons(X1,X4))),nil) = sK28(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_12618,c_105]) ).
tcf(c_37135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( app(sK27(app(app(X2,cons(X0,X3)),cons(X1,X4))),nil) = sK27(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_12619,c_105]) ).
tcf(c_37338,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( cons(sK57,app(X0,sK19(X1))) = app(cons(sK57,X0),sK19(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_76,c_22147]) ).
tcf(c_37339,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( cons(sK57,app(X0,sK18(X1))) = app(cons(sK57,X0),sK18(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_77,c_22147]) ).
tcf(c_37340,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( cons(sK57,app(X0,sK17(X1))) = app(cons(sK57,X0),sK17(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_22147]) ).
tcf(c_37341,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( cons(sK57,app(X0,sK24(X1))) = app(cons(sK57,X0),sK24(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_88,c_22147]) ).
tcf(c_37342,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( cons(sK57,app(X0,sK23(X1))) = app(cons(sK57,X0),sK23(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89,c_22147]) ).
tcf(c_37343,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( cons(sK57,app(X0,sK22(X1))) = app(cons(sK57,X0),sK22(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_90,c_22147]) ).
tcf(c_37344,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( cons(sK57,app(X0,sK29(X1))) = app(cons(sK57,X0),sK29(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_100,c_22147]) ).
tcf(c_37345,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( cons(sK57,app(X0,sK28(X1))) = app(cons(sK57,X0),sK28(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_101,c_22147]) ).
tcf(c_37346,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( cons(sK57,app(X0,sK27(X1))) = app(cons(sK57,X0),sK27(X1)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_102,c_22147]) ).
tcf(c_37846,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK19(X0),sK59)) = app(cons(sK57,sK19(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_76,c_37363]) ).
tcf(c_37847,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK18(X0),sK59)) = app(cons(sK57,sK18(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_77,c_37363]) ).
tcf(c_37848,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK17(X0),sK59)) = app(cons(sK57,sK17(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_78,c_37363]) ).
tcf(c_37849,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK24(X0),sK59)) = app(cons(sK57,sK24(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_88,c_37363]) ).
tcf(c_37850,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK23(X0),sK59)) = app(cons(sK57,sK23(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_89,c_37363]) ).
tcf(c_37851,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK22(X0),sK59)) = app(cons(sK57,sK22(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_90,c_37363]) ).
tcf(c_37852,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK29(X0),sK59)) = app(cons(sK57,sK29(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_100,c_37363]) ).
tcf(c_37853,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK28(X0),sK59)) = app(cons(sK57,sK28(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_101,c_37363]) ).
tcf(c_37854,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK27(X0),sK59)) = app(cons(sK57,sK27(X0)),sK59) ) ),
inference(superposition,[status(thm)],[c_102,c_37363]) ).
tcf(c_39560,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK6,sK19(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_76,c_13801]) ).
tcf(c_39561,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK6,sK18(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_77,c_13801]) ).
tcf(c_39562,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK6,sK17(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_78,c_13801]) ).
tcf(c_39563,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK6,sK24(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_88,c_13801]) ).
tcf(c_39564,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK6,sK23(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_89,c_13801]) ).
tcf(c_39565,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK6,sK22(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_90,c_13801]) ).
tcf(c_39566,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK6,sK29(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_100,c_13801]) ).
tcf(c_39567,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK6,sK28(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_101,c_13801]) ).
tcf(c_39568,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK6,sK27(X0))) = sK6 ) ),
inference(superposition,[status(thm)],[c_102,c_13801]) ).
tcf(c_40253,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ leq(X1,sK50(tl(sK59)))
| ~ leq(sK50(tl(sK59)),X1)
| ~ sP0(app(app(X0,tl(sK59)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15491,c_81]) ).
tcf(c_40254,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(tl(sK59)))
| lt(sK50(tl(sK59)),X1)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ sP4(app(app(X0,tl(sK59)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15491,c_105]) ).
tcf(c_40255,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(tl(sK59)))
| leq(sK50(tl(sK59)),X1)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ sP2(app(app(X0,tl(sK59)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15491,c_93]) ).
tcf(c_40259,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ leq(X1,sK50(tl(sK59)))
| ~ leq(sK50(tl(sK59)),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),tl(sK59))) ),
inference(superposition,[status(thm)],[c_15491,c_81]) ).
tcf(c_40260,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(tl(sK59)))
| lt(sK50(tl(sK59)),X1)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ sP4(app(app(X0,cons(X1,X2)),tl(sK59))) ),
inference(superposition,[status(thm)],[c_15491,c_105]) ).
tcf(c_40261,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(tl(sK59)))
| leq(sK50(tl(sK59)),X1)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK59)))
| ~ ssItem(sK50(tl(sK59)))
| ~ sP2(app(app(X0,cons(X1,X2)),tl(sK59))) ),
inference(superposition,[status(thm)],[c_15491,c_93]) ).
tcf(c_40690,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK7,sK19(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_76,c_13802]) ).
tcf(c_40691,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK7,sK18(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_77,c_13802]) ).
tcf(c_40692,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK7,sK17(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_78,c_13802]) ).
tcf(c_40693,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK7,sK24(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_88,c_13802]) ).
tcf(c_40694,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK7,sK23(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_89,c_13802]) ).
tcf(c_40695,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK7,sK22(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_90,c_13802]) ).
tcf(c_40696,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK7,sK29(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_100,c_13802]) ).
tcf(c_40697,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK7,sK28(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_101,c_13802]) ).
tcf(c_40698,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK7,sK27(X0))) = sK7 ) ),
inference(superposition,[status(thm)],[c_102,c_13802]) ).
tcf(c_41488,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK19(X0),sK58)) = app(cons(sK57,sK19(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_76,c_37364]) ).
tcf(c_41489,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK18(X0),sK58)) = app(cons(sK57,sK18(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_77,c_37364]) ).
tcf(c_41490,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK17(X0),sK58)) = app(cons(sK57,sK17(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_78,c_37364]) ).
tcf(c_41491,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK24(X0),sK58)) = app(cons(sK57,sK24(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_88,c_37364]) ).
tcf(c_41492,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK23(X0),sK58)) = app(cons(sK57,sK23(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_89,c_37364]) ).
tcf(c_41493,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK22(X0),sK58)) = app(cons(sK57,sK22(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_90,c_37364]) ).
tcf(c_41494,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK29(X0),sK58)) = app(cons(sK57,sK29(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_100,c_37364]) ).
tcf(c_41495,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK28(X0),sK58)) = app(cons(sK57,sK28(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_101,c_37364]) ).
tcf(c_41496,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK27(X0),sK58)) = app(cons(sK57,sK27(X0)),sK58) ) ),
inference(superposition,[status(thm)],[c_102,c_37364]) ).
tcf(c_41978,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ leq(X1,sK50(tl(sK58)))
| ~ leq(sK50(tl(sK58)),X1)
| ~ sP0(app(app(X0,tl(sK58)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15715,c_81]) ).
tcf(c_41979,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(tl(sK58)))
| lt(sK50(tl(sK58)),X1)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ sP4(app(app(X0,tl(sK58)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15715,c_105]) ).
tcf(c_41980,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(tl(sK58)))
| leq(sK50(tl(sK58)),X1)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ sP2(app(app(X0,tl(sK58)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15715,c_93]) ).
tcf(c_41984,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ leq(X1,sK50(tl(sK58)))
| ~ leq(sK50(tl(sK58)),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),tl(sK58))) ),
inference(superposition,[status(thm)],[c_15715,c_81]) ).
tcf(c_41985,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(tl(sK58)))
| lt(sK50(tl(sK58)),X1)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ sP4(app(app(X0,cons(X1,X2)),tl(sK58))) ),
inference(superposition,[status(thm)],[c_15715,c_105]) ).
tcf(c_41986,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(tl(sK58)))
| leq(sK50(tl(sK58)),X1)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK58)))
| ~ ssItem(sK50(tl(sK58)))
| ~ sP2(app(app(X0,cons(X1,X2)),tl(sK58))) ),
inference(superposition,[status(thm)],[c_15715,c_93]) ).
tcf(c_43469,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK6,sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_13977]) ).
tcf(c_43470,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK6,sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_13977]) ).
tcf(c_43471,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK6,sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_13977]) ).
tcf(c_43472,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK6,sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_13977]) ).
tcf(c_43473,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK6,sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_13977]) ).
tcf(c_43474,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK6,sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_13977]) ).
tcf(c_43475,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK6,sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_13977]) ).
tcf(c_43476,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK6,sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_13977]) ).
tcf(c_43477,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK6,sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_13977]) ).
tcf(c_44227,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK7,sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_13978]) ).
tcf(c_44228,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK7,sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_13978]) ).
tcf(c_44229,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK7,sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_13978]) ).
tcf(c_44230,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK7,sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_13978]) ).
tcf(c_44231,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK7,sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_13978]) ).
tcf(c_44232,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK7,sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_13978]) ).
tcf(c_44233,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK7,sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_13978]) ).
tcf(c_44234,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK7,sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_13978]) ).
tcf(c_44235,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK7,sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_13978]) ).
tcf(c_44813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(cons(sK57,sK19(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_14642,c_81]) ).
tcf(c_44827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(cons(sK57,sK18(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_14643,c_81]) ).
tcf(c_44841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(cons(sK57,sK17(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_14644,c_81]) ).
tcf(c_44855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(cons(sK57,sK24(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_14645,c_93]) ).
tcf(c_44981,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK19(X0),sK56)) = app(cons(sK57,sK19(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_76,c_37365]) ).
tcf(c_44982,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK18(X0),sK56)) = app(cons(sK57,sK18(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_77,c_37365]) ).
tcf(c_44983,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,app(sK17(X0),sK56)) = app(cons(sK57,sK17(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_78,c_37365]) ).
tcf(c_44984,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK24(X0),sK56)) = app(cons(sK57,sK24(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_88,c_37365]) ).
tcf(c_44985,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK23(X0),sK56)) = app(cons(sK57,sK23(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_89,c_37365]) ).
tcf(c_44986,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,app(sK22(X0),sK56)) = app(cons(sK57,sK22(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_90,c_37365]) ).
tcf(c_44987,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK29(X0),sK56)) = app(cons(sK57,sK29(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_100,c_37365]) ).
tcf(c_44988,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK28(X0),sK56)) = app(cons(sK57,sK28(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_101,c_37365]) ).
tcf(c_44989,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,app(sK27(X0),sK56)) = app(cons(sK57,sK27(X0)),sK56) ) ),
inference(superposition,[status(thm)],[c_102,c_37365]) ).
tcf(c_47830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(cons(sK57,sK23(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_14646,c_93]) ).
tcf(c_47869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(cons(sK57,sK22(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_14647,c_93]) ).
tcf(c_48169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ leq(X1,sK50(tl(sK56)))
| ~ leq(sK50(tl(sK56)),X1)
| ~ sP0(app(app(X0,tl(sK56)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15764,c_81]) ).
tcf(c_48170,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(tl(sK56)))
| lt(sK50(tl(sK56)),X1)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ sP4(app(app(X0,tl(sK56)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15764,c_105]) ).
tcf(c_48171,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(tl(sK56)))
| leq(sK50(tl(sK56)),X1)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ sP2(app(app(X0,tl(sK56)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_15764,c_93]) ).
tcf(c_48175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ leq(X1,sK50(tl(sK56)))
| ~ leq(sK50(tl(sK56)),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),tl(sK56))) ),
inference(superposition,[status(thm)],[c_15764,c_81]) ).
tcf(c_48176,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(tl(sK56)))
| lt(sK50(tl(sK56)),X1)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ sP4(app(app(X0,cons(X1,X2)),tl(sK56))) ),
inference(superposition,[status(thm)],[c_15764,c_105]) ).
tcf(c_48177,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(tl(sK56)))
| leq(sK50(tl(sK56)),X1)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(sK56)))
| ~ ssItem(sK50(tl(sK56)))
| ~ sP2(app(app(X0,cons(X1,X2)),tl(sK56))) ),
inference(superposition,[status(thm)],[c_15764,c_93]) ).
tcf(c_48741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(cons(sK57,sK29(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_14648,c_105]) ).
tcf(c_48755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(cons(sK57,sK28(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_14649,c_105]) ).
tcf(c_48769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(cons(sK57,sK27(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_14650,c_105]) ).
tcf(c_48785,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ leq(X1,sK10(iPr_def_10))
| ~ leq(sK10(iPr_def_10),X1)
| ~ sP0(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_48779,c_81]) ).
tcf(c_48786,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_10))
| lt(sK10(iPr_def_10),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ sP4(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_48779,c_105]) ).
tcf(c_48787,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_10))
| leq(sK10(iPr_def_10),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ sP2(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_48779,c_93]) ).
tcf(c_48796,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ leq(X1,sK10(iPr_def_10))
| ~ leq(sK10(iPr_def_10),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(superposition,[status(thm)],[c_48779,c_81]) ).
tcf(c_48797,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_10))
| lt(sK10(iPr_def_10),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(superposition,[status(thm)],[c_48779,c_105]) ).
tcf(c_48798,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_10))
| leq(sK10(iPr_def_10),X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(superposition,[status(thm)],[c_48779,c_93]) ).
tcf(c_48903,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_10))
| leq(sK10(iPr_def_10),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48798,c_141]) ).
tcf(c_48911,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_10))
| lt(sK10(iPr_def_10),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48797,c_141]) ).
tcf(c_48919,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK10(iPr_def_10))
| leq(sK10(iPr_def_10),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ sP2(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48787,c_141]) ).
tcf(c_48927,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK10(iPr_def_10))
| lt(sK10(iPr_def_10),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ sP4(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48786,c_141]) ).
tcf(c_48943,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ leq(X1,sK10(iPr_def_10))
| ~ leq(sK10(iPr_def_10),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48796,c_141]) ).
tcf(c_48951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sK10(iPr_def_10))
| ~ leq(X1,sK10(iPr_def_10))
| ~ leq(sK10(iPr_def_10),X1)
| ~ sP0(app(app(X0,iPr_def_10),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48785,c_141]) ).
tcf(c_50371,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK60,sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_18951]) ).
tcf(c_50372,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK60,sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_18951]) ).
tcf(c_50373,plain,
! [X0: $i] :
( sP0(X0)
| ( tl(cons(sK60,sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_18951]) ).
tcf(c_50374,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK60,sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_18951]) ).
tcf(c_50375,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK60,sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_18951]) ).
tcf(c_50376,plain,
! [X0: $i] :
( sP2(X0)
| ( tl(cons(sK60,sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_18951]) ).
tcf(c_50377,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK60,sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_18951]) ).
tcf(c_50378,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK60,sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_18951]) ).
tcf(c_50379,plain,
! [X0: $i] :
( sP4(X0)
| ( tl(cons(sK60,sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_18951]) ).
tcf(c_50926,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK60,sK19(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_76,c_18952]) ).
tcf(c_50927,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK60,sK18(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_77,c_18952]) ).
tcf(c_50928,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(cons(sK60,sK17(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_78,c_18952]) ).
tcf(c_50929,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK60,sK24(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_88,c_18952]) ).
tcf(c_50930,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK60,sK23(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_89,c_18952]) ).
tcf(c_50931,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(cons(sK60,sK22(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_90,c_18952]) ).
tcf(c_50932,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK60,sK29(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_100,c_18952]) ).
tcf(c_50933,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK60,sK28(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_101,c_18952]) ).
tcf(c_50934,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(cons(sK60,sK27(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_102,c_18952]) ).
tcf(c_51757,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_11,sK19(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_76,c_19198]) ).
tcf(c_51758,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_11,sK18(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_77,c_19198]) ).
tcf(c_51759,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_11,sK17(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_78,c_19198]) ).
tcf(c_51760,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_11,sK24(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_88,c_19198]) ).
tcf(c_51761,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_11,sK23(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_89,c_19198]) ).
tcf(c_51762,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_11,sK22(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_90,c_19198]) ).
tcf(c_51763,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_11,sK29(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_100,c_19198]) ).
tcf(c_51764,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_11,sK28(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_101,c_19198]) ).
tcf(c_51765,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_11,sK27(X0))) = sK57 ) ),
inference(superposition,[status(thm)],[c_102,c_19198]) ).
tcf(c_57528,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ leq(X1,hd(iPr_def_12))
| ~ leq(hd(iPr_def_12),X1)
| ~ sP0(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_57522,c_81]) ).
tcf(c_57529,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_12))
| lt(hd(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ sP4(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_57522,c_105]) ).
tcf(c_57530,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_12))
| leq(hd(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ sP2(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_57522,c_93]) ).
tcf(c_57534,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ leq(X1,hd(iPr_def_12))
| ~ leq(hd(iPr_def_12),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57522,c_81]) ).
tcf(c_57535,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_12))
| lt(hd(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57522,c_105]) ).
tcf(c_57536,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_12))
| leq(hd(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(iPr_def_12))
| ~ ssItem(hd(iPr_def_12))
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(superposition,[status(thm)],[c_57522,c_93]) ).
tcf(c_57648,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_12))
| leq(hd(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP2(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57536,c_19014,c_25586]) ).
tcf(c_57655,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_12))
| lt(hd(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP4(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57535,c_19014,c_25586]) ).
tcf(c_57662,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(iPr_def_12))
| leq(hd(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP2(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57530,c_19014,c_25586]) ).
tcf(c_57669,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(iPr_def_12))
| lt(hd(iPr_def_12),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP4(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57529,c_19014,c_25586]) ).
tcf(c_57676,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ leq(X1,hd(iPr_def_12))
| ~ leq(hd(iPr_def_12),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57534,c_19014,c_25586]) ).
tcf(c_57683,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ leq(X1,hd(iPr_def_12))
| ~ leq(hd(iPr_def_12),X1)
| ~ sP0(app(app(X0,iPr_def_12),cons(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57528,c_19014,c_25586]) ).
tcf(c_58067,plain,
! [X0: $i,X1: $i] :
( ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,sK59),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_38598,c_81]) ).
tcf(c_58068,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK57,sK59),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_38598,c_105]) ).
tcf(c_58069,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK57,sK59),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_38598,c_93]) ).
tcf(c_58116,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK57,sK59),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58069,c_8916,c_141,c_8914]) ).
tcf(c_58122,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK57,sK59),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58068,c_8916,c_141,c_8914]) ).
tcf(c_58128,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,sK59),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58067,c_8916,c_141,c_8914]) ).
tcf(c_58517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(cons(sK6,sK19(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK6 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_39560,c_81]) ).
tcf(c_58531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(cons(sK6,sK18(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK6 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_39561,c_81]) ).
tcf(c_58545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(cons(sK6,sK17(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK6 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_39562,c_81]) ).
tcf(c_58559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(cons(sK6,sK24(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK6 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_39563,c_93]) ).
tcf(c_58765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(cons(sK6,sK23(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK6 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_39564,c_93]) ).
tcf(c_58778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(cons(sK6,sK22(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK6 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_39565,c_93]) ).
tcf(c_58791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(cons(sK6,sK29(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK6 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_39566,c_105]) ).
tcf(c_58805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(cons(sK6,sK28(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK6 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_39567,c_105]) ).
tcf(c_59129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ leq(X1,hd(tl(sK59)))
| ~ leq(hd(tl(sK59)),X1)
| ~ sP0(app(app(X0,tl(sK59)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16305,c_81]) ).
tcf(c_59130,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(tl(sK59)))
| lt(hd(tl(sK59)),X1)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ sP4(app(app(X0,tl(sK59)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16305,c_105]) ).
tcf(c_59131,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(tl(sK59)))
| leq(hd(tl(sK59)),X1)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ sP2(app(app(X0,tl(sK59)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16305,c_93]) ).
tcf(c_59135,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ leq(X1,hd(tl(sK59)))
| ~ leq(hd(tl(sK59)),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),tl(sK59))) ),
inference(superposition,[status(thm)],[c_16305,c_81]) ).
tcf(c_59136,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(tl(sK59)))
| lt(hd(tl(sK59)),X1)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ sP4(app(app(X0,cons(X1,X2)),tl(sK59))) ),
inference(superposition,[status(thm)],[c_16305,c_105]) ).
tcf(c_59137,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(tl(sK59)))
| leq(hd(tl(sK59)),X1)
| ( nil = sK59 )
| ( tl(sK59) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK59)))
| ~ ssItem(hd(tl(sK59)))
| ~ sP2(app(app(X0,cons(X1,X2)),tl(sK59))) ),
inference(superposition,[status(thm)],[c_16305,c_93]) ).
tcf(c_59576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(cons(sK6,sK27(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK6 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_39568,c_105]) ).
tcf(c_59590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(cons(sK7,sK19(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK7 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_40690,c_81]) ).
tcf(c_59604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(cons(sK7,sK18(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK7 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_40691,c_81]) ).
tcf(c_60132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ leq(X1,hd(tl(sK58)))
| ~ leq(hd(tl(sK58)),X1)
| ~ sP0(app(app(X0,tl(sK58)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16306,c_81]) ).
tcf(c_60133,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(tl(sK58)))
| lt(hd(tl(sK58)),X1)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ sP4(app(app(X0,tl(sK58)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16306,c_105]) ).
tcf(c_60134,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(tl(sK58)))
| leq(hd(tl(sK58)),X1)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ sP2(app(app(X0,tl(sK58)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16306,c_93]) ).
tcf(c_60138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ leq(X1,hd(tl(sK58)))
| ~ leq(hd(tl(sK58)),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),tl(sK58))) ),
inference(superposition,[status(thm)],[c_16306,c_81]) ).
tcf(c_60139,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(tl(sK58)))
| lt(hd(tl(sK58)),X1)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ sP4(app(app(X0,cons(X1,X2)),tl(sK58))) ),
inference(superposition,[status(thm)],[c_16306,c_105]) ).
tcf(c_60140,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(tl(sK58)))
| leq(hd(tl(sK58)),X1)
| ( nil = sK58 )
| ( tl(sK58) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK58)))
| ~ ssItem(hd(tl(sK58)))
| ~ sP2(app(app(X0,cons(X1,X2)),tl(sK58))) ),
inference(superposition,[status(thm)],[c_16306,c_93]) ).
tcf(c_60692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(cons(sK7,sK17(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK7 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_40692,c_81]) ).
tcf(c_60706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(cons(sK7,sK24(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK7 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_40693,c_93]) ).
tcf(c_60719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(cons(sK7,sK23(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK7 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_40694,c_93]) ).
tcf(c_60732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(cons(sK7,sK22(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK7 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_40695,c_93]) ).
tcf(c_61128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ leq(X1,hd(tl(sK56)))
| ~ leq(hd(tl(sK56)),X1)
| ~ sP0(app(app(X0,tl(sK56)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16307,c_81]) ).
tcf(c_61129,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(tl(sK56)))
| lt(hd(tl(sK56)),X1)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ sP4(app(app(X0,tl(sK56)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16307,c_105]) ).
tcf(c_61130,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(tl(sK56)))
| leq(hd(tl(sK56)),X1)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ sP2(app(app(X0,tl(sK56)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_16307,c_93]) ).
tcf(c_61134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ leq(X1,hd(tl(sK56)))
| ~ leq(hd(tl(sK56)),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),tl(sK56))) ),
inference(superposition,[status(thm)],[c_16307,c_81]) ).
tcf(c_61135,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(tl(sK56)))
| lt(hd(tl(sK56)),X1)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ sP4(app(app(X0,cons(X1,X2)),tl(sK56))) ),
inference(superposition,[status(thm)],[c_16307,c_105]) ).
tcf(c_61136,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(tl(sK56)))
| leq(hd(tl(sK56)),X1)
| ( nil = sK56 )
| ( tl(sK56) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(sK56)))
| ~ ssItem(hd(tl(sK56)))
| ~ sP2(app(app(X0,cons(X1,X2)),tl(sK56))) ),
inference(superposition,[status(thm)],[c_16307,c_93]) ).
tcf(c_61518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(cons(sK7,sK29(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK7 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_40696,c_105]) ).
tcf(c_61532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(cons(sK7,sK28(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK7 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_40697,c_105]) ).
tcf(c_61546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(cons(sK7,sK27(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK7 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_40698,c_105]) ).
tcf(c_61937,plain,
! [X0: $i,X1: $i] :
( ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,sK58),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_42610,c_81]) ).
tcf(c_61938,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK57,sK58),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_42610,c_105]) ).
tcf(c_61939,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK57,sK58),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_42610,c_93]) ).
tcf(c_61986,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK57,sK58),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61939,c_8915,c_141,c_8914]) ).
tcf(c_61992,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK57,sK58),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61938,c_8915,c_141,c_8914]) ).
tcf(c_61998,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,sK58),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61937,c_8915,c_141,c_8914]) ).
tcf(c_62715,plain,
! [X0: $i,X1: $i] :
( ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,sK56),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_45826,c_81]) ).
tcf(c_62716,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK57,sK56),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_45826,c_105]) ).
tcf(c_62717,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK57,sK56),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_45826,c_93]) ).
tcf(c_62764,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK57,sK56),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62717,c_8907,c_141,c_8914]) ).
tcf(c_62770,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK57,sK56),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62716,c_8907,c_141,c_8914]) ).
tcf(c_62776,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,sK56),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62715,c_8907,c_141,c_8914]) ).
tcf(c_63225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(cons(sK60,sK19(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_50926,c_81]) ).
tcf(c_63278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(cons(sK60,sK18(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_50927,c_81]) ).
tcf(c_63292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(cons(sK60,sK17(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_50928,c_81]) ).
tcf(c_63503,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(app(sK19(X1),X0),sK59) = app(sK19(X1),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_76,c_22629]) ).
tcf(c_63504,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(app(sK18(X1),X0),sK59) = app(sK18(X1),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_77,c_22629]) ).
tcf(c_63505,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(app(sK17(X1),X0),sK59) = app(sK17(X1),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_22629]) ).
tcf(c_63506,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(app(sK24(X1),X0),sK59) = app(sK24(X1),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_88,c_22629]) ).
tcf(c_63507,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(app(sK23(X1),X0),sK59) = app(sK23(X1),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89,c_22629]) ).
tcf(c_63508,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(app(sK22(X1),X0),sK59) = app(sK22(X1),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_90,c_22629]) ).
tcf(c_63509,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(app(sK29(X1),X0),sK59) = app(sK29(X1),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_100,c_22629]) ).
tcf(c_63510,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(app(sK28(X1),X0),sK59) = app(sK28(X1),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_101,c_22629]) ).
tcf(c_63511,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(app(sK27(X1),X0),sK59) = app(sK27(X1),app(X0,sK59)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_102,c_22629]) ).
tcf(c_64158,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK59,sK19(X0)),sK59) = app(sK59,app(sK19(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_76,c_63528]) ).
tcf(c_64159,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK59,sK18(X0)),sK59) = app(sK59,app(sK18(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_77,c_63528]) ).
tcf(c_64160,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK59,sK17(X0)),sK59) = app(sK59,app(sK17(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_78,c_63528]) ).
tcf(c_64161,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK59,sK24(X0)),sK59) = app(sK59,app(sK24(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_88,c_63528]) ).
tcf(c_64162,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK59,sK23(X0)),sK59) = app(sK59,app(sK23(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_89,c_63528]) ).
tcf(c_64163,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK59,sK22(X0)),sK59) = app(sK59,app(sK22(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_90,c_63528]) ).
tcf(c_64164,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK59,sK29(X0)),sK59) = app(sK59,app(sK29(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_100,c_63528]) ).
tcf(c_64165,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK59,sK28(X0)),sK59) = app(sK59,app(sK28(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_101,c_63528]) ).
tcf(c_64166,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK59,sK27(X0)),sK59) = app(sK59,app(sK27(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_102,c_63528]) ).
tcf(c_64534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(cons(sK60,sK24(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_50929,c_93]) ).
tcf(c_64547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(cons(sK60,sK23(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_50930,c_93]) ).
tcf(c_64560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(cons(sK60,sK22(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_50931,c_93]) ).
tcf(c_64573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(cons(sK60,sK29(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_50932,c_105]) ).
tcf(c_64587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(cons(sK60,sK28(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_50933,c_105]) ).
tcf(c_64601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(cons(sK60,sK27(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_50934,c_105]) ).
tcf(c_64615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(app(iPr_def_11,sK19(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_51757,c_81]) ).
tcf(c_64629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(app(iPr_def_11,sK18(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_51758,c_81]) ).
tcf(c_66090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(app(iPr_def_11,sK17(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_51759,c_81]) ).
tcf(c_66104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(app(iPr_def_11,sK24(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_51760,c_93]) ).
tcf(c_66117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(app(iPr_def_11,sK23(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_51761,c_93]) ).
tcf(c_66130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(app(iPr_def_11,sK22(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_51762,c_93]) ).
tcf(c_66143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(app(iPr_def_11,sK29(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_51763,c_105]) ).
tcf(c_66157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(app(iPr_def_11,sK28(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_51764,c_105]) ).
tcf(c_66171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(app(iPr_def_11,sK27(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK57 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_51765,c_105]) ).
tcf(c_66475,plain,
! [X0: $i,X1: $i] :
( ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,iPr_def_10),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_59834,c_81]) ).
tcf(c_66476,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK57,iPr_def_10),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_59834,c_105]) ).
tcf(c_66477,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK57,iPr_def_10),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_59834,c_93]) ).
tcf(c_66524,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK57,iPr_def_10),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66477,c_18245,c_141,c_8914]) ).
tcf(c_66530,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK57,iPr_def_10),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66476,c_18245,c_141,c_8914]) ).
tcf(c_66536,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,iPr_def_10),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66475,c_18245,c_141,c_8914]) ).
tcf(c_66757,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK58,sK19(X0)),sK59) = app(sK58,app(sK19(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_76,c_63529]) ).
tcf(c_66758,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK58,sK18(X0)),sK59) = app(sK58,app(sK18(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_77,c_63529]) ).
tcf(c_66759,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK58,sK17(X0)),sK59) = app(sK58,app(sK17(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_78,c_63529]) ).
tcf(c_66760,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK58,sK24(X0)),sK59) = app(sK58,app(sK24(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_88,c_63529]) ).
tcf(c_66761,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK58,sK23(X0)),sK59) = app(sK58,app(sK23(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_89,c_63529]) ).
tcf(c_66762,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK58,sK22(X0)),sK59) = app(sK58,app(sK22(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_90,c_63529]) ).
tcf(c_66763,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK58,sK29(X0)),sK59) = app(sK58,app(sK29(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_100,c_63529]) ).
tcf(c_66764,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK58,sK28(X0)),sK59) = app(sK58,app(sK28(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_101,c_63529]) ).
tcf(c_66765,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK58,sK27(X0)),sK59) = app(sK58,app(sK27(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_102,c_63529]) ).
tcf(c_68423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( tl(cons(sK57,sK19(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK19(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_14814,c_81]) ).
tcf(c_68437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( tl(cons(sK57,sK18(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK18(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_14815,c_81]) ).
tcf(c_68450,plain,
! [X0: $i,X1: $i] :
( ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(iPr_def_10,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_66808,c_81]) ).
tcf(c_68451,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(iPr_def_10,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_66808,c_105]) ).
tcf(c_68452,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(sK59)
| ~ ssList(sK58)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(iPr_def_10,cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_66808,c_93]) ).
tcf(c_68513,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(iPr_def_10,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68452,c_8916,c_8915,c_8914]) ).
tcf(c_68519,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(iPr_def_10,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68451,c_8916,c_8915,c_8914]) ).
tcf(c_68525,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(iPr_def_10,cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68450,c_8916,c_8915,c_8914]) ).
tcf(c_68917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( tl(cons(sK57,sK17(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK17(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_14816,c_81]) ).
tcf(c_68931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( tl(cons(sK57,sK24(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK24(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_14817,c_93]) ).
tcf(c_68944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( tl(cons(sK57,sK23(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK23(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_14818,c_93]) ).
tcf(c_68957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( tl(cons(sK57,sK22(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK22(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_14819,c_93]) ).
tcf(c_69209,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK56,sK19(X0)),sK59) = app(sK56,app(sK19(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_76,c_63530]) ).
tcf(c_69210,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK56,sK18(X0)),sK59) = app(sK56,app(sK18(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_77,c_63530]) ).
tcf(c_69211,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK56,sK17(X0)),sK59) = app(sK56,app(sK17(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_78,c_63530]) ).
tcf(c_69212,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK56,sK24(X0)),sK59) = app(sK56,app(sK24(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_88,c_63530]) ).
tcf(c_69213,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK56,sK23(X0)),sK59) = app(sK56,app(sK23(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_89,c_63530]) ).
tcf(c_69214,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK56,sK22(X0)),sK59) = app(sK56,app(sK22(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_90,c_63530]) ).
tcf(c_69215,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK56,sK29(X0)),sK59) = app(sK56,app(sK29(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_100,c_63530]) ).
tcf(c_69216,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK56,sK28(X0)),sK59) = app(sK56,app(sK28(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_101,c_63530]) ).
tcf(c_69217,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK56,sK27(X0)),sK59) = app(sK56,app(sK27(X0),sK59)) ) ),
inference(superposition,[status(thm)],[c_102,c_63530]) ).
tcf(c_69596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( tl(cons(sK57,sK29(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK29(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_14820,c_105]) ).
tcf(c_69610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( tl(cons(sK57,sK28(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK28(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_14821,c_105]) ).
tcf(c_69642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( tl(cons(sK57,sK27(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK27(app(app(X2,cons(X0,X3)),cons(X1,X4))) )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_14822,c_105]) ).
tcf(c_69663,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,sK19(X0)) = app(iPr_def_11,sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_16606]) ).
tcf(c_69664,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,sK18(X0)) = app(iPr_def_11,sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_16606]) ).
tcf(c_69665,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK57,sK17(X0)) = app(iPr_def_11,sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_16606]) ).
tcf(c_69666,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,sK24(X0)) = app(iPr_def_11,sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_16606]) ).
tcf(c_69667,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,sK23(X0)) = app(iPr_def_11,sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_16606]) ).
tcf(c_69668,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK57,sK22(X0)) = app(iPr_def_11,sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_16606]) ).
tcf(c_69669,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,sK29(X0)) = app(iPr_def_11,sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_16606]) ).
tcf(c_69670,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,sK28(X0)) = app(iPr_def_11,sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_16606]) ).
tcf(c_69671,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK57,sK27(X0)) = app(iPr_def_11,sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_16606]) ).
tcf(c_73203,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ leq(X1,hd(tl(iPr_def_12)))
| ~ leq(hd(tl(iPr_def_12)),X1)
| ~ sP0(app(app(X0,tl(iPr_def_12)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_20002,c_81]) ).
tcf(c_73204,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(tl(iPr_def_12)))
| lt(hd(tl(iPr_def_12)),X1)
| ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ sP4(app(app(X0,tl(iPr_def_12)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_20002,c_105]) ).
tcf(c_73205,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(tl(iPr_def_12)))
| leq(hd(tl(iPr_def_12)),X1)
| ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ sP2(app(app(X0,tl(iPr_def_12)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_20002,c_93]) ).
tcf(c_73209,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ leq(X1,hd(tl(iPr_def_12)))
| ~ leq(hd(tl(iPr_def_12)),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20002,c_81]) ).
tcf(c_73210,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,hd(tl(iPr_def_12)))
| lt(hd(tl(iPr_def_12)),X1)
| ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ sP4(app(app(X0,cons(X1,X2)),tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20002,c_105]) ).
tcf(c_73211,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,hd(tl(iPr_def_12)))
| leq(hd(tl(iPr_def_12)),X1)
| ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(tl(tl(iPr_def_12)))
| ~ ssItem(hd(tl(iPr_def_12)))
| ~ sP2(app(app(X0,cons(X1,X2)),tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20002,c_93]) ).
tcf(c_73725,plain,
! [X0: $i,X1: $i] :
( ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,iPr_def_12),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_70201,c_81]) ).
tcf(c_73726,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK57,iPr_def_12),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_70201,c_105]) ).
tcf(c_73727,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK57,iPr_def_12),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_70201,c_93]) ).
tcf(c_73774,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK57,iPr_def_12),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73727,c_12842,c_141,c_8914]) ).
tcf(c_73780,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK57,iPr_def_12),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73726,c_12842,c_141,c_8914]) ).
tcf(c_73786,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,iPr_def_12),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73725,c_12842,c_141,c_8914]) ).
tcf(c_74246,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(app(sK19(X1),X0),sK58) = app(sK19(X1),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_76,c_22630]) ).
tcf(c_74247,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(app(sK18(X1),X0),sK58) = app(sK18(X1),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_77,c_22630]) ).
tcf(c_74248,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(app(sK17(X1),X0),sK58) = app(sK17(X1),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_22630]) ).
tcf(c_74249,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(app(sK24(X1),X0),sK58) = app(sK24(X1),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_88,c_22630]) ).
tcf(c_74250,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(app(sK23(X1),X0),sK58) = app(sK23(X1),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89,c_22630]) ).
tcf(c_74251,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(app(sK22(X1),X0),sK58) = app(sK22(X1),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_90,c_22630]) ).
tcf(c_74252,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(app(sK29(X1),X0),sK58) = app(sK29(X1),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_100,c_22630]) ).
tcf(c_74253,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(app(sK28(X1),X0),sK58) = app(sK28(X1),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_101,c_22630]) ).
tcf(c_74254,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(app(sK27(X1),X0),sK58) = app(sK27(X1),app(X0,sK58)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_102,c_22630]) ).
tcf(c_74598,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK59,sK19(X0)),sK58) = app(sK59,app(sK19(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_76,c_74271]) ).
tcf(c_74599,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK59,sK18(X0)),sK58) = app(sK59,app(sK18(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_77,c_74271]) ).
tcf(c_74600,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK59,sK17(X0)),sK58) = app(sK59,app(sK17(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_78,c_74271]) ).
tcf(c_74601,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK59,sK24(X0)),sK58) = app(sK59,app(sK24(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_88,c_74271]) ).
tcf(c_74602,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK59,sK23(X0)),sK58) = app(sK59,app(sK23(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_89,c_74271]) ).
tcf(c_74603,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK59,sK22(X0)),sK58) = app(sK59,app(sK22(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_90,c_74271]) ).
tcf(c_74604,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK59,sK29(X0)),sK58) = app(sK59,app(sK29(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_100,c_74271]) ).
tcf(c_74605,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK59,sK28(X0)),sK58) = app(sK59,app(sK28(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_101,c_74271]) ).
tcf(c_74606,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK59,sK27(X0)),sK58) = app(sK59,app(sK27(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_102,c_74271]) ).
tcf(c_76567,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ leq(X1,sK50(tl(iPr_def_12)))
| ~ leq(sK50(tl(iPr_def_12)),X1)
| ~ sP0(app(app(X0,tl(iPr_def_12)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_20003,c_81]) ).
tcf(c_76568,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(tl(iPr_def_12)))
| lt(sK50(tl(iPr_def_12)),X1)
| ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ sP4(app(app(X0,tl(iPr_def_12)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_20003,c_105]) ).
tcf(c_76569,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(tl(iPr_def_12)))
| leq(sK50(tl(iPr_def_12)),X1)
| ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ sP2(app(app(X0,tl(iPr_def_12)),cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_20003,c_93]) ).
tcf(c_76573,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ leq(X1,sK50(tl(iPr_def_12)))
| ~ leq(sK50(tl(iPr_def_12)),X1)
| ~ sP0(app(app(X0,cons(X1,X2)),tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20003,c_81]) ).
tcf(c_76574,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sK50(tl(iPr_def_12)))
| lt(sK50(tl(iPr_def_12)),X1)
| ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ sP4(app(app(X0,cons(X1,X2)),tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20003,c_105]) ).
tcf(c_76575,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X1,sK50(tl(iPr_def_12)))
| leq(sK50(tl(iPr_def_12)),X1)
| ( tl(iPr_def_12) = nil )
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sK49(tl(iPr_def_12)))
| ~ ssItem(sK50(tl(iPr_def_12)))
| ~ sP2(app(app(X0,cons(X1,X2)),tl(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20003,c_93]) ).
tcf(c_79135,plain,
! [X0: $i,X1: $i] :
( ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,iPr_def_11),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_72661,c_81]) ).
tcf(c_79136,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK57,iPr_def_11),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_72661,c_105]) ).
tcf(c_79137,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK57,iPr_def_11),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_72661,c_93]) ).
tcf(c_79184,plain,
! [X0: $i,X1: $i] :
( leq(sK57,X0)
| leq(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK57,iPr_def_11),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79137,c_12706,c_141,c_8914]) ).
tcf(c_79190,plain,
! [X0: $i,X1: $i] :
( lt(sK57,X0)
| lt(X0,sK57)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK57,iPr_def_11),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79136,c_12706,c_141,c_8914]) ).
tcf(c_79196,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ leq(X0,sK57)
| ~ sP0(app(cons(sK57,iPr_def_11),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79135,c_12706,c_141,c_8914]) ).
tcf(c_79572,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK19(X0),sK11(sK19(X0),sK19(X0))) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_17782]) ).
tcf(c_79573,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK18(X0),sK11(sK18(X0),sK18(X0))) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_17782]) ).
tcf(c_79574,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK17(X0),sK11(sK17(X0),sK17(X0))) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_17782]) ).
tcf(c_79575,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK24(X0),sK11(sK24(X0),sK24(X0))) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_17782]) ).
tcf(c_79576,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK23(X0),sK11(sK23(X0),sK23(X0))) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_17782]) ).
tcf(c_79577,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK22(X0),sK11(sK22(X0),sK22(X0))) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_17782]) ).
tcf(c_79578,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK29(X0),sK11(sK29(X0),sK29(X0))) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_17782]) ).
tcf(c_79579,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK28(X0),sK11(sK28(X0),sK28(X0))) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_17782]) ).
tcf(c_79580,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK27(X0),sK11(sK27(X0),sK27(X0))) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_17782]) ).
tcf(c_80002,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK58,sK19(X0)),sK58) = app(sK58,app(sK19(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_76,c_74272]) ).
tcf(c_80003,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK58,sK18(X0)),sK58) = app(sK58,app(sK18(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_77,c_74272]) ).
tcf(c_80004,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK58,sK17(X0)),sK58) = app(sK58,app(sK17(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_78,c_74272]) ).
tcf(c_80005,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK58,sK24(X0)),sK58) = app(sK58,app(sK24(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_88,c_74272]) ).
tcf(c_80006,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK58,sK23(X0)),sK58) = app(sK58,app(sK23(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_89,c_74272]) ).
tcf(c_80007,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK58,sK22(X0)),sK58) = app(sK58,app(sK22(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_90,c_74272]) ).
tcf(c_80008,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK58,sK29(X0)),sK58) = app(sK58,app(sK29(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_100,c_74272]) ).
tcf(c_80009,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK58,sK28(X0)),sK58) = app(sK58,app(sK28(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_101,c_74272]) ).
tcf(c_80010,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK58,sK27(X0)),sK58) = app(sK58,app(sK27(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_102,c_74272]) ).
tcf(c_81981,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK11(sK19(X0),nil)) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_17822]) ).
tcf(c_81982,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK11(sK18(X0),nil)) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_17822]) ).
tcf(c_81983,plain,
! [X0: $i] :
( sP0(X0)
| ( app(nil,sK11(sK17(X0),nil)) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_17822]) ).
tcf(c_81984,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK11(sK24(X0),nil)) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_17822]) ).
tcf(c_81985,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK11(sK23(X0),nil)) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_17822]) ).
tcf(c_81986,plain,
! [X0: $i] :
( sP2(X0)
| ( app(nil,sK11(sK22(X0),nil)) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_17822]) ).
tcf(c_81987,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK11(sK29(X0),nil)) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_17822]) ).
tcf(c_81988,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK11(sK28(X0),nil)) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_17822]) ).
tcf(c_81989,plain,
! [X0: $i] :
( sP4(X0)
| ( app(nil,sK11(sK27(X0),nil)) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_17822]) ).
tcf(c_82285,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK12(sK19(X0),sK19(X0)),sK19(X0)) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_18284]) ).
tcf(c_82286,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK12(sK18(X0),sK18(X0)),sK18(X0)) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_18284]) ).
tcf(c_82287,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK12(sK17(X0),sK17(X0)),sK17(X0)) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_18284]) ).
tcf(c_82288,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK12(sK24(X0),sK24(X0)),sK24(X0)) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_18284]) ).
tcf(c_82289,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK12(sK23(X0),sK23(X0)),sK23(X0)) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_18284]) ).
tcf(c_82290,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK12(sK22(X0),sK22(X0)),sK22(X0)) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_18284]) ).
tcf(c_82291,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK12(sK29(X0),sK29(X0)),sK29(X0)) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_18284]) ).
tcf(c_82292,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK12(sK28(X0),sK28(X0)),sK28(X0)) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_18284]) ).
tcf(c_82293,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK12(sK27(X0),sK27(X0)),sK27(X0)) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_18284]) ).
tcf(c_82752,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK12(sK19(X0),nil),nil) = sK19(X0) ) ),
inference(superposition,[status(thm)],[c_76,c_18312]) ).
tcf(c_82753,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK12(sK18(X0),nil),nil) = sK18(X0) ) ),
inference(superposition,[status(thm)],[c_77,c_18312]) ).
tcf(c_82754,plain,
! [X0: $i] :
( sP0(X0)
| ( app(sK12(sK17(X0),nil),nil) = sK17(X0) ) ),
inference(superposition,[status(thm)],[c_78,c_18312]) ).
tcf(c_82755,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK12(sK24(X0),nil),nil) = sK24(X0) ) ),
inference(superposition,[status(thm)],[c_88,c_18312]) ).
tcf(c_82756,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK12(sK23(X0),nil),nil) = sK23(X0) ) ),
inference(superposition,[status(thm)],[c_89,c_18312]) ).
tcf(c_82757,plain,
! [X0: $i] :
( sP2(X0)
| ( app(sK12(sK22(X0),nil),nil) = sK22(X0) ) ),
inference(superposition,[status(thm)],[c_90,c_18312]) ).
tcf(c_82758,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK12(sK29(X0),nil),nil) = sK29(X0) ) ),
inference(superposition,[status(thm)],[c_100,c_18312]) ).
tcf(c_82759,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK12(sK28(X0),nil),nil) = sK28(X0) ) ),
inference(superposition,[status(thm)],[c_101,c_18312]) ).
tcf(c_82760,plain,
! [X0: $i] :
( sP4(X0)
| ( app(sK12(sK27(X0),nil),nil) = sK27(X0) ) ),
inference(superposition,[status(thm)],[c_102,c_18312]) ).
tcf(c_83193,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK60,sK19(X0)) = app(iPr_def_10,sK19(X0)) ) ),
inference(superposition,[status(thm)],[c_76,c_18957]) ).
tcf(c_83194,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK60,sK18(X0)) = app(iPr_def_10,sK18(X0)) ) ),
inference(superposition,[status(thm)],[c_77,c_18957]) ).
tcf(c_83195,plain,
! [X0: $i] :
( sP0(X0)
| ( cons(sK60,sK17(X0)) = app(iPr_def_10,sK17(X0)) ) ),
inference(superposition,[status(thm)],[c_78,c_18957]) ).
tcf(c_83196,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK60,sK24(X0)) = app(iPr_def_10,sK24(X0)) ) ),
inference(superposition,[status(thm)],[c_88,c_18957]) ).
tcf(c_83197,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK60,sK23(X0)) = app(iPr_def_10,sK23(X0)) ) ),
inference(superposition,[status(thm)],[c_89,c_18957]) ).
tcf(c_83198,plain,
! [X0: $i] :
( sP2(X0)
| ( cons(sK60,sK22(X0)) = app(iPr_def_10,sK22(X0)) ) ),
inference(superposition,[status(thm)],[c_90,c_18957]) ).
tcf(c_83199,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK60,sK29(X0)) = app(iPr_def_10,sK29(X0)) ) ),
inference(superposition,[status(thm)],[c_100,c_18957]) ).
tcf(c_83200,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK60,sK28(X0)) = app(iPr_def_10,sK28(X0)) ) ),
inference(superposition,[status(thm)],[c_101,c_18957]) ).
tcf(c_83201,plain,
! [X0: $i] :
( sP4(X0)
| ( cons(sK60,sK27(X0)) = app(iPr_def_10,sK27(X0)) ) ),
inference(superposition,[status(thm)],[c_102,c_18957]) ).
tcf(c_87485,plain,
! [X0: $i,X1: $i] :
( ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK60,X0)
| ~ leq(X0,sK60)
| ~ sP0(app(cons(sK60,sK59),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_84295,c_81]) ).
tcf(c_87486,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| lt(X0,sK60)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK60,sK59),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_84295,c_105]) ).
tcf(c_87487,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| leq(X0,sK60)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK60,sK59),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_84295,c_93]) ).
tcf(c_87534,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| leq(X0,sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK60,sK59),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87487,c_8916,c_141,c_18252]) ).
tcf(c_87540,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| lt(X0,sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK60,sK59),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87486,c_8916,c_141,c_18252]) ).
tcf(c_87546,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK60,X0)
| ~ leq(X0,sK60)
| ~ sP0(app(cons(sK60,sK59),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87485,c_8916,c_141,c_18252]) ).
tcf(c_88698,plain,
! [X0: $i,X1: $i] :
( ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK60,X0)
| ~ leq(X0,sK60)
| ~ sP0(app(cons(sK60,sK58),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_84660,c_81]) ).
tcf(c_88699,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| lt(X0,sK60)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK60,sK58),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_84660,c_105]) ).
tcf(c_88700,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| leq(X0,sK60)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK60,sK58),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_84660,c_93]) ).
tcf(c_88747,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| leq(X0,sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK60,sK58),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88700,c_8915,c_141,c_18252]) ).
tcf(c_88753,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| lt(X0,sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK60,sK58),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88699,c_8915,c_141,c_18252]) ).
tcf(c_88759,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK60,X0)
| ~ leq(X0,sK60)
| ~ sP0(app(cons(sK60,sK58),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88698,c_8915,c_141,c_18252]) ).
tcf(c_89005,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_11,sK27(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51765,c_88921]) ).
tcf(c_89006,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_11,sK28(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51764,c_88921]) ).
tcf(c_89007,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_11,sK29(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51763,c_88921]) ).
tcf(c_89008,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_11,sK22(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51762,c_88921]) ).
tcf(c_89009,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_11,sK23(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51761,c_88921]) ).
tcf(c_89010,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_11,sK24(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51760,c_88921]) ).
tcf(c_89011,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_11,sK17(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51759,c_88921]) ).
tcf(c_89012,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_11,sK18(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51758,c_88921]) ).
tcf(c_89013,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_11,sK19(X0))) = sK60 ) ),
inference(demodulation,[status(thm)],[c_51757,c_88921]) ).
tcf(c_89823,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK56,sK19(X0)),sK58) = app(sK56,app(sK19(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_76,c_74273]) ).
tcf(c_89824,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK56,sK18(X0)),sK58) = app(sK56,app(sK18(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_77,c_74273]) ).
tcf(c_89825,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK56,sK17(X0)),sK58) = app(sK56,app(sK17(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_78,c_74273]) ).
tcf(c_89826,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK56,sK24(X0)),sK58) = app(sK56,app(sK24(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_88,c_74273]) ).
tcf(c_89827,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK56,sK23(X0)),sK58) = app(sK56,app(sK23(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_89,c_74273]) ).
tcf(c_89828,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK56,sK22(X0)),sK58) = app(sK56,app(sK22(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_90,c_74273]) ).
tcf(c_89829,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK56,sK29(X0)),sK58) = app(sK56,app(sK29(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_100,c_74273]) ).
tcf(c_89830,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK56,sK28(X0)),sK58) = app(sK56,app(sK28(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_101,c_74273]) ).
tcf(c_89831,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK56,sK27(X0)),sK58) = app(sK56,app(sK27(X0),sK58)) ) ),
inference(superposition,[status(thm)],[c_102,c_74273]) ).
tcf(c_90197,plain,
! [X0: $i,X1: $i] :
( ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK60,X0)
| ~ leq(X0,sK60)
| ~ sP0(app(cons(sK60,sK56),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_85018,c_81]) ).
tcf(c_90198,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| lt(X0,sK60)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK60,sK56),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_85018,c_105]) ).
tcf(c_90199,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| leq(X0,sK60)
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK60,sK56),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_85018,c_93]) ).
tcf(c_90242,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| leq(X0,sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK60,sK56),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90199,c_8907,c_141,c_18252]) ).
tcf(c_90248,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| lt(X0,sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK60,sK56),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90198,c_8907,c_141,c_18252]) ).
tcf(c_90254,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK60,X0)
| ~ leq(X0,sK60)
| ~ sP0(app(cons(sK60,sK56),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90197,c_8907,c_141,c_18252]) ).
tcf(c_90334,plain,
! [X0: $i,X1: $i] :
( ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK60,X0)
| ~ leq(X0,sK60)
| ~ sP0(app(cons(sK60,iPr_def_12),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_86252,c_81]) ).
tcf(c_90335,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| lt(X0,sK60)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK60,iPr_def_12),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_86252,c_105]) ).
tcf(c_90336,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| leq(X0,sK60)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK60,iPr_def_12),cons(X0,X1))) ),
inference(superposition,[status(thm)],[c_86252,c_93]) ).
tcf(c_90379,plain,
! [X0: $i,X1: $i] :
( leq(sK60,X0)
| leq(X0,sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP2(app(cons(sK60,iPr_def_12),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90336,c_12842,c_141,c_18252]) ).
tcf(c_90385,plain,
! [X0: $i,X1: $i] :
( lt(sK60,X0)
| lt(X0,sK60)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ sP4(app(cons(sK60,iPr_def_12),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90335,c_12842,c_141,c_18252]) ).
tcf(c_90391,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ leq(sK60,X0)
| ~ leq(X0,sK60)
| ~ sP0(app(cons(sK60,iPr_def_12),cons(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90334,c_12842,c_141,c_18252]) ).
tcf(c_91419,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_12,sK19(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_76,c_91405]) ).
tcf(c_91420,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_12,sK18(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_77,c_91405]) ).
tcf(c_91421,plain,
! [X0: $i] :
( sP0(X0)
| ( hd(app(iPr_def_12,sK17(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_78,c_91405]) ).
tcf(c_91422,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_12,sK24(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_88,c_91405]) ).
tcf(c_91423,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_12,sK23(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_89,c_91405]) ).
tcf(c_91424,plain,
! [X0: $i] :
( sP2(X0)
| ( hd(app(iPr_def_12,sK22(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_90,c_91405]) ).
tcf(c_91425,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_12,sK29(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_100,c_91405]) ).
tcf(c_91426,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_12,sK28(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_101,c_91405]) ).
tcf(c_91427,plain,
! [X0: $i] :
( sP4(X0)
| ( hd(app(iPr_def_12,sK27(X0))) = sK60 ) ),
inference(superposition,[status(thm)],[c_102,c_91405]) ).
tcf(c_92478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(app(iPr_def_12,sK19(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_91419,c_81]) ).
tcf(c_92492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(app(iPr_def_12,sK18(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_91420,c_81]) ).
tcf(c_92506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hd(app(iPr_def_12,sK17(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(superposition,[status(thm)],[c_91421,c_81]) ).
tcf(c_92520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(app(iPr_def_12,sK24(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_91422,c_93]) ).
tcf(c_92795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(app(iPr_def_12,sK23(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_91423,c_93]) ).
tcf(c_92808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( leq(X1,X0)
| leq(X0,X1)
| ( hd(app(iPr_def_12,sK22(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_91424,c_93]) ).
tcf(c_92834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(app(iPr_def_12,sK29(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_91425,c_105]) ).
tcf(c_92848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(app(iPr_def_12,sK28(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_91426,c_105]) ).
tcf(c_93301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( lt(X1,X0)
| lt(X0,X1)
| ( hd(app(iPr_def_12,sK27(app(app(X2,cons(X0,X3)),cons(X1,X4))))) = sK60 )
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_91427,c_105]) ).
tcf(c_93553,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(app(sK19(X1),X0),sK56) = app(sK19(X1),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_76,c_22631]) ).
tcf(c_93554,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(app(sK18(X1),X0),sK56) = app(sK18(X1),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_77,c_22631]) ).
tcf(c_93555,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| ( app(app(sK17(X1),X0),sK56) = app(sK17(X1),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_22631]) ).
tcf(c_93556,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(app(sK24(X1),X0),sK56) = app(sK24(X1),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_88,c_22631]) ).
tcf(c_93557,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(app(sK23(X1),X0),sK56) = app(sK23(X1),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_89,c_22631]) ).
tcf(c_93558,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ( app(app(sK22(X1),X0),sK56) = app(sK22(X1),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_90,c_22631]) ).
tcf(c_93559,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(app(sK29(X1),X0),sK56) = app(sK29(X1),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_100,c_22631]) ).
tcf(c_93560,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(app(sK28(X1),X0),sK56) = app(sK28(X1),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_101,c_22631]) ).
tcf(c_93561,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| ( app(app(sK27(X1),X0),sK56) = app(sK27(X1),app(X0,sK56)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_102,c_22631]) ).
tcf(c_94005,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK59,sK19(X0)),sK56) = app(sK59,app(sK19(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_76,c_93578]) ).
tcf(c_94006,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK59,sK18(X0)),sK56) = app(sK59,app(sK18(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_77,c_93578]) ).
tcf(c_94007,plain,
! [X0: $i] :
( sP0(X0)
| ( app(app(sK59,sK17(X0)),sK56) = app(sK59,app(sK17(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_78,c_93578]) ).
tcf(c_94008,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK59,sK24(X0)),sK56) = app(sK59,app(sK24(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_88,c_93578]) ).
tcf(c_94009,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK59,sK23(X0)),sK56) = app(sK59,app(sK23(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_89,c_93578]) ).
tcf(c_94010,plain,
! [X0: $i] :
( sP2(X0)
| ( app(app(sK59,sK22(X0)),sK56) = app(sK59,app(sK22(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_90,c_93578]) ).
tcf(c_94011,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK59,sK29(X0)),sK56) = app(sK59,app(sK29(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_100,c_93578]) ).
tcf(c_94012,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK59,sK28(X0)),sK56) = app(sK59,app(sK28(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_101,c_93578]) ).
tcf(c_94013,plain,
! [X0: $i] :
( sP4(X0)
| ( app(app(sK59,sK27(X0)),sK56) = app(sK59,app(sK27(X0),sK56)) ) ),
inference(superposition,[status(thm)],[c_102,c_93578]) ).
tcf(c_94529,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_94065,c_94064,c_94063,c_94061,c_94060,c_94059,c_94058,c_94057,c_94056,c_94055,c_94054,c_94053,c_94052,c_94051,c_94050,c_94049,c_94048,c_94047,c_94046,c_94045,c_94044,c_94043,c_94042,c_94041,c_94040,c_94039,c_94038,c_94037,c_94036,c_94035,c_94034,c_94033,c_94032,c_94031,c_94030,c_94029,c_94028,c_94027,c_94026,c_94025,c_94024,c_94023,c_94022,c_94021,c_94020,c_94019,c_94018,c_94017,c_94016,c_94015,c_94014,c_94013,c_94012,c_94011,c_94010,c_94009,c_94008,c_94007,c_94006,c_94005,c_94004,c_94003,c_94002,c_94001,c_94000,c_93999,c_93998,c_93608,c_93607,c_93606,c_93605,c_93604,c_93603,c_93602,c_93601,c_93600,c_93599,c_93598,c_93597,c_93596,c_93595,c_93594,c_93593,c_93592,c_93591,c_93590,c_93589,c_93588,c_93587,c_93586,c_93585,c_93584,c_93583,c_93582,c_93581,c_93580,c_93579,c_93578,c_93577,c_93576,c_93575,c_93574,c_93573,c_93572,c_93571,c_93570,c_93569,c_93568,c_93567,c_93566,c_93565,c_93564,c_93563,c_93562,c_93561,c_93560,c_93559,c_93558,c_93557,c_93556,c_93555,c_93554,c_93553,c_93552,c_93551,c_93550,c_93549,c_93548,c_93547,c_93546,c_93533,c_93528,c_93522,c_93521,c_93520,c_93519,c_93487,c_93486,c_93485,c_93484,c_93483,c_93468,c_93463,c_93457,c_93456,c_93455,c_93454,c_93351,c_93350,c_93349,c_93348,c_93347,c_93335,c_93332,c_93331,c_93327,c_93324,c_93323,c_93322,c_93321,c_93301,c_93264,c_93263,c_93261,c_93262,c_93231,c_93226,c_93220,c_93219,c_93218,c_93217,c_93187,c_93186,c_93185,c_93184,c_93172,c_93169,c_93167,c_93166,c_93165,c_93108,c_93105,c_93103,c_93102,c_93101,c_93086,c_93083,c_93081,c_93080,c_93079,c_93065,c_93048,c_93045,c_93044,c_93042,c_93041,c_93040,c_93039,c_92987,c_92986,c_92985,c_92984,c_92983,c_92982,c_92981,c_92980,c_92979,c_92978,c_92879,c_92878,c_92873,c_92868,c_92867,c_92866,c_92865,c_92848,c_92834,c_92808,c_92795,c_92766,c_92765,c_92764,c_92750,c_92748,c_92746,c_92745,c_92744,c_92677,c_92676,c_92675,c_92674,c_92673,c_92672,c_92671,c_92670,c_92669,c_92668,c_92666,c_92663,c_92619,c_92616,c_92615,c_92614,c_92613,c_92611,c_92610,c_92587,c_92578,c_92572,c_92568,c_92566,c_92565,c_92564,c_92541,c_92540,c_92539,c_92520,c_92506,c_92492,c_92478,c_92411,c_92410,c_92408,c_92409,c_92393,c_92392,c_92384,c_92380,c_92378,c_92377,c_92376,c_92353,c_92352,c_92351,c_92307,c_92306,c_92298,c_92294,c_92292,c_92291,c_92290,c_92267,c_92266,c_92265,c_92251,c_92250,c_92223,c_92222,c_92221,c_92090,c_92083,c_92067,c_92064,c_92053,c_92052,c_92051,c_92050,c_92049,c_92048,c_92047,c_92046,c_92045,c_92044,c_92043,c_92042,c_92041,c_92040,c_92039,c_92038,c_92037,c_92034,c_92033,c_92032,c_92030,c_92029,c_92028,c_92027,c_92026,c_92025,c_92024,c_92023,c_92022,c_92021,c_92020,c_92019,c_92018,c_92017,c_92016,c_92012,c_92011,c_91989,c_91988,c_91987,c_91473,c_91472,c_91471,c_91470,c_91469,c_91468,c_91467,c_91466,c_91465,c_91464,c_91463,c_91462,c_91461,c_91460,c_91459,c_91458,c_91457,c_91456,c_91455,c_91454,c_91453,c_91452,c_91451,c_91450,c_91449,c_91448,c_91447,c_91446,c_91445,c_91444,c_91443,c_91442,c_91441,c_91440,c_91439,c_91438,c_91437,c_91436,c_91435,c_91434,c_91433,c_91432,c_91431,c_91430,c_91429,c_91428,c_91427,c_91426,c_91425,c_91424,c_91423,c_91422,c_91421,c_91420,c_91419,c_91418,c_91417,c_91416,c_91415,c_91414,c_91413,c_91412,c_91405,c_91393,c_91389,c_91387,c_91386,c_91385,c_91376,c_91372,c_91370,c_91369,c_91368,c_91167,c_91163,c_91161,c_91160,c_91159,c_90988,c_90987,c_90986,c_90985,c_90984,c_90983,c_90982,c_90981,c_90980,c_90979,c_90978,c_90977,c_90976,c_90975,c_90974,c_90973,c_90972,c_90971,c_90970,c_90969,c_90968,c_90967,c_90966,c_90965,c_90964,c_90963,c_90962,c_90961,c_90960,c_90959,c_90958,c_90957,c_90956,c_90955,c_90954,c_90953,c_90952,c_90951,c_90950,c_90931,c_90930,c_90925,c_90920,c_90914,c_90908,c_90903,c_90898,c_90894,c_90889,c_90884,c_90880,c_90877,c_90876,c_90872,c_90866,c_90863,c_90860,c_90859,c_90858,c_90857,c_90856,c_90855,c_90854,c_90853,c_90851,c_90849,c_90848,c_90847,c_90846,c_90845,c_90844,c_90850,c_90852,c_90841,c_90734,c_90733,c_90732,c_90731,c_90730,c_90729,c_90728,c_90727,c_90726,c_90725,c_90724,c_90723,c_90722,c_90721,c_90720,c_90719,c_90718,c_90717,c_90716,c_90715,c_90714,c_90713,c_90712,c_90711,c_90710,c_90709,c_90708,c_90707,c_90706,c_90705,c_90704,c_90703,c_90702,c_90701,c_90700,c_90699,c_90698,c_90697,c_90696,c_90677,c_90676,c_90671,c_90666,c_90660,c_90654,c_90649,c_90644,c_90640,c_90635,c_90630,c_90626,c_90623,c_90622,c_90618,c_90612,c_90609,c_90606,c_90605,c_90604,c_90603,c_90602,c_90601,c_90600,c_90599,c_90597,c_90595,c_90594,c_90593,c_90592,c_90591,c_90590,c_90596,c_90598,c_90587,c_90480,c_90479,c_90478,c_90477,c_90476,c_90475,c_90474,c_90473,c_90472,c_90471,c_90470,c_90469,c_90468,c_90467,c_90466,c_90465,c_90464,c_90463,c_90462,c_90461,c_90460,c_90459,c_90458,c_90457,c_90456,c_90455,c_90454,c_90453,c_90452,c_90451,c_90450,c_90449,c_90448,c_90447,c_90446,c_90445,c_90444,c_90443,c_90442,c_90437,c_90434,c_90433,c_90430,c_90429,c_90428,c_90410,c_90409,c_90403,c_90402,c_90398,c_90397,c_90391,c_90385,c_90379,c_90375,c_90374,c_90369,c_90365,c_90361,c_90357,c_90354,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC187+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 16:54:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 61.77/9.41 % SZS status Started for theBenchmark.p
% 61.77/9.41 % SZS status Theorem for theBenchmark.p
% 61.77/9.41
% 61.77/9.41 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 61.77/9.41
% 61.77/9.41 % ------ iProver source info
% 61.77/9.41
% 61.77/9.41 % git: date: 2026-07-19 20:42:38 +0200
% 61.77/9.41 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 61.77/9.41 % git: non_committed_changes: false
% 61.77/9.41
% 61.77/9.41 % ------ Parsing...
% 61.77/9.41 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 61.77/9.41
% 61.77/9.41 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 61.77/9.41
% 61.77/9.41 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 61.77/9.41
% 61.77/9.41 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 61.77/9.41 % ------ Proving...
% 61.77/9.41 % ------ Problem Properties
% 61.77/9.41
% 61.77/9.41 %
% 61.77/9.41 % clauses 197
% 61.77/9.41 % conjectures 13
% 61.77/9.41 % EPR 62
% 61.77/9.41 % Horn 122
% 61.77/9.41 % unary 26
% 61.77/9.41 % binary 47
% 61.77/9.41 % lits 642
% 61.77/9.41 % lits eq 91
% 61.77/9.41 % fd_pure 0
% 61.77/9.41 % fd_pseudo 0
% 61.77/9.41 % fd_cond 21
% 61.77/9.41 % fd_pseudo_cond 14
% 61.77/9.41 % AC symbols 0
% 61.77/9.41
% 61.77/9.41 % ------ Schedule dynamic 5 is on
% 61.77/9.41
% 61.77/9.41 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 61.77/9.41
% 61.77/9.41
% 61.77/9.41 % ------
% 61.77/9.41 % Current options:
% 61.77/9.41 % ------
% 61.77/9.41
% 61.77/9.41
% 61.77/9.41 %
% 61.77/9.41
% 61.77/9.41 % ------ Proving...
% 61.77/9.41 %
% 61.77/9.41
% 61.77/9.41 % SZS status Theorem for theBenchmark.p
% 61.77/9.41
% 61.77/9.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 61.77/9.74
% 61.77/9.74
%------------------------------------------------------------------------------